%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL955^24 : 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 : n019.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 08:14:55 AM UTC 2026
% Result : Theorem 1.38s 0.57s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 82 ( 50 unt; 0 typ; 2 def)
% Number of atoms : 727 ( 66 equ; 0 cnn)
% Maximal formula atoms : 28 ( 8 avg)
% Number of connectives : 1241 ( 50 ~; 25 |; 11 &; 887 @)
% ( 2 <=>; 157 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 48 ( 48 >; 0 *; 0 +; 0 <<)
% Number of symbols : 86 ( 82 usr; 15 con; 0-4 aty)
% ( 109 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 212 ( 0 sgn 16 !; 0 ?; 212 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mworld: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
mrel: mworld > mworld > $o ).
thf(func_def_1,type,
mactual: mworld ).
thf(func_def_2,type,
mlocal: ( mworld > $o ) > $o ).
thf(func_def_4,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(func_def_5,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_6,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_7,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_8,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_9,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(func_def_10,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(func_def_11,type,
eiw_di: $i > mworld > $o ).
thf(func_def_12,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_13,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_14,type,
customqmltpeq: $i > $i > mworld > $o ).
thf(func_def_15,type,
true: mworld > $o ).
thf(func_def_29,type,
geq: $i > $i > mworld > $o ).
thf(func_def_30,type,
lt: $i > $i > mworld > $o ).
thf(func_def_31,type,
leq: $i > $i > mworld > $o ).
thf(func_def_32,type,
gt: $i > $i > mworld > $o ).
thf(func_def_33,type,
minus: $i > $i > $i ).
thf(func_def_34,type,
dim: $i > $i > $i ).
thf(func_def_35,type,
sum: $i > $i > $i > $i ).
thf(func_def_36,type,
plus: $i > $i > $i ).
thf(func_def_37,type,
inv: $i > $i ).
thf(func_def_38,type,
uniform_int_rnd: $i > $i > $i ).
thf(func_def_39,type,
succ: $i > $i ).
thf(func_def_40,type,
pred: $i > $i ).
thf(func_def_41,type,
tptp_update3: $i > $i > $i > $i > $i ).
thf(func_def_42,type,
tptp_update2: $i > $i > $i > $i ).
thf(func_def_43,type,
tptp_const_array1: $i > $i > $i ).
thf(func_def_44,type,
tptp_mmul: $i > $i > $i ).
thf(func_def_45,type,
a_select3: $i > $i > $i > $i ).
thf(func_def_46,type,
tptp_const_array2: $i > $i > $i > $i ).
thf(func_def_47,type,
a_select2: $i > $i > $i ).
thf(func_def_48,type,
tptp_madd: $i > $i > $i ).
thf(func_def_49,type,
tptp_msub: $i > $i > $i ).
thf(func_def_50,type,
trans: $i > $i ).
thf(func_def_53,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_54,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_55,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_56,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_57,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_58,type,
vOR: $o > $o > $o ).
thf(func_def_59,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_60,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_61,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_62,type,
vAND: $o > $o > $o ).
thf(func_def_63,type,
vNOT: $o > $o ).
thf(func_def_64,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_65,type,
vIMP: $o > $o > $o ).
thf(func_def_66,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_67,type,
db9:
!>[X0: $tType] : X0 ).
thf(func_def_68,type,
db8:
!>[X0: $tType] : X0 ).
thf(func_def_69,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_70,type,
vIFF: $o > $o > $o ).
thf(func_def_71,type,
db10:
!>[X0: $tType] : X0 ).
thf(func_def_72,type,
db11:
!>[X0: $tType] : X0 ).
thf(func_def_73,type,
db12:
!>[X0: $tType] : X0 ).
thf(func_def_74,type,
db13:
!>[X0: $tType] : X0 ).
thf(func_def_75,type,
db14:
!>[X0: $tType] : X0 ).
thf(func_def_76,type,
db15:
!>[X0: $tType] : X0 ).
thf(func_def_77,type,
db16:
!>[X0: $tType] : X0 ).
thf(func_def_78,type,
db17:
!>[X0: $tType] : X0 ).
thf(func_def_79,type,
db18:
!>[X0: $tType] : X0 ).
thf(func_def_80,type,
db19:
!>[X0: $tType] : X0 ).
thf(func_def_81,type,
db20:
!>[X0: $tType] : X0 ).
thf(func_def_82,type,
db21:
!>[X0: $tType] : X0 ).
thf(func_def_83,type,
db22:
!>[X0: $tType] : X0 ).
thf(func_def_84,type,
sK0: mworld ).
thf(func_def_86,type,
sK2: mworld ).
thf(func_def_87,type,
sK3: mworld ).
thf(func_def_88,type,
sK4: mworld > $i ).
thf(func_def_89,type,
sK5: mworld > mworld ).
thf(func_def_90,type,
sK6: mworld ).
thf(func_def_91,type,
sK7: mworld ).
thf(f1,axiom,
( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
= mlocal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).
thf(f2,axiom,
( ( ^ [X0: mworld > $o,X1: mworld] :
~ ( X0 @ X1 ) )
= mnot ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot_def) ).
thf(f3,axiom,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) )
= mand ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def) ).
thf(f5,axiom,
( mimplies
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def) ).
thf(f7,axiom,
( mbox
= ( ^ [X0: mworld > $o,X1: mworld] :
! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).
thf(f9,axiom,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal) ).
thf(f113,axiom,
mlocal @ ( mbox @ true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ttrue) ).
thf(f115,conjecture,
mlocal @ ( mbox @ ( mimplies @ ( mbox @ ( geq @ pv65 @ tptp_float_0_001 ) ) @ ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( gt @ ( plus @ n1 @ loopcounter ) @ n1 ) ) ) ) @ ( mbox @ true ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ ( gt @ ( plus @ n1 @ loopcounter ) @ n1 ) ) @ ( mbox @ true ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0028) ).
thf(f116,negated_conjecture,
~ ( mlocal @ ( mbox @ ( mimplies @ ( mbox @ ( geq @ pv65 @ tptp_float_0_001 ) ) @ ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( gt @ ( plus @ n1 @ loopcounter ) @ n1 ) ) ) ) @ ( mbox @ true ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ ( gt @ ( plus @ n1 @ loopcounter ) @ n1 ) ) @ ( mbox @ true ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f115]) ).
thf(f195,plain,
( ( ^ [X0: mworld > $o,X1: mworld] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[],[f2]) ).
thf(f196,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f195]) ).
thf(f205,plain,
mlocal @ ( mbox @ true ),
inference(rectify,[],[f113]) ).
thf(f206,plain,
( ( mlocal @ ( mbox @ true ) )
= $true ),
inference(fool_elimination,[],[f205]) ).
thf(f225,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f232,plain,
( mbox
= ( ^ [X0: mworld > $o,X1: mworld] :
! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f233,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f232]) ).
thf(f246,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(rectify,[],[f9]) ).
thf(f247,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( !! @ mworld
@ ^ [Y1: mworld] : ( mrel @ Y1 @ Y0 ) ) )
= $true ),
inference(fool_elimination,[],[f246]) ).
thf(f272,plain,
~ ( mlocal @ ( mbox @ ( mimplies @ ( mbox @ ( geq @ pv65 @ tptp_float_0_001 ) ) @ ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( gt @ ( plus @ n1 @ loopcounter ) @ n1 ) ) ) ) @ ( mbox @ true ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ ( gt @ ( plus @ n1 @ loopcounter ) @ n1 ) ) @ ( mbox @ true ) ) ) ) ) ) ),
inference(rectify,[],[f116]) ).
thf(f273,plain,
( ( ~ ( mlocal @ ( mbox @ ( mimplies @ ( mbox @ ( geq @ pv65 @ tptp_float_0_001 ) ) @ ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( gt @ ( plus @ n1 @ loopcounter ) @ n1 ) ) ) ) @ ( mbox @ true ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ ( gt @ ( plus @ n1 @ loopcounter ) @ n1 ) ) @ ( mbox @ true ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f272]) ).
thf(f282,plain,
( mimplies
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f283,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f282]) ).
thf(f348,plain,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) )
= mand ),
inference(rectify,[],[f3]) ).
thf(f349,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f348]) ).
thf(f460,plain,
( ( mlocal @ ( mbox @ true ) )
= $true ),
inference(cnf_transformation,[],[f206]) ).
thf(f466,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f283]) ).
thf(f486,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f225]) ).
thf(f493,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f196]) ).
thf(f497,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f349]) ).
thf(f517,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( !! @ mworld
@ ^ [Y1: mworld] : ( mrel @ Y1 @ Y0 ) ) )
= $true ),
inference(cnf_transformation,[],[f247]) ).
thf(f570,plain,
( ( ~ ( mlocal @ ( mbox @ ( mimplies @ ( mbox @ ( geq @ pv65 @ tptp_float_0_001 ) ) @ ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( gt @ ( plus @ n1 @ loopcounter ) @ n1 ) ) ) ) @ ( mbox @ true ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ ( gt @ ( plus @ n1 @ loopcounter ) @ n1 ) ) @ ( mbox @ true ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f273]) ).
thf(f573,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f233]) ).
thf(f607,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ true ) )
= $true ),
inference(definition_unfolding,[],[f460,f486,f573]) ).
thf(f707,plain,
( ( ~ ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( geq @ pv65 @ tptp_float_0_001 ) )
@ ( ^ [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 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) )
@ ( ^ [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] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( gt @ ( plus @ n1 @ loopcounter ) @ n1 ) ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ true ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( gt @ ( plus @ n1 @ loopcounter ) @ n1 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ true ) ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f570,f486,f573,f466,f573,f497,f573,f466,f573,f493,f573,f573,f573,f466,f573,f573]) ).
thf(f740,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( true @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f607]) ).
thf(f846,plain,
( ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( geq @ pv65 @ tptp_float_0_001 @ Y1 ) ) )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( true @ Y2 ) ) ) ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ~ ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y3 ) ) ) ) )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( true @ Y2 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f707]) ).
thf(f859,plain,
( $false
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( geq @ pv65 @ tptp_float_0_001 @ Y1 ) ) )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( true @ Y2 ) ) ) ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ~ ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y3 ) ) ) ) )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( true @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f846]) ).
thf(f860,plain,
( $false
= ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( geq @ pv65 @ tptp_float_0_001 @ Y1 ) ) )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( true @ Y2 ) ) ) ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ~ ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y3 ) ) ) ) )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( true @ Y2 ) ) ) ) ) ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f859]) ).
thf(f861,plain,
( ( ( mrel @ mactual @ sK0 )
=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( geq @ pv65 @ tptp_float_0_001 @ Y0 ) ) )
=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y1 ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( true @ Y1 ) ) ) ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( true @ Y1 ) ) ) ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f860]) ).
thf(f862,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( geq @ pv65 @ tptp_float_0_001 @ Y0 ) ) )
=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y1 ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( true @ Y1 ) ) ) ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( true @ Y1 ) ) ) ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f861]) ).
thf(f864,plain,
( $false
= ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y1 ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( true @ Y1 ) ) ) ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( true @ Y1 ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f862]) ).
thf(f866,plain,
( ( $false
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y1 ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( true @ Y1 ) ) ) ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( true @ Y1 ) ) ) ) ) )
= $false ) ),
inference(and_proxy_clausification,[],[f864]) ).
thf(f868,definition,
( spl1_1
<=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( true @ Y1 ) ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
thf(f870,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( true @ Y1 ) ) ) ) ) )
= $false )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f868]) ).
thf(f872,definition,
( spl1_2
<=> ( $false
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y1 ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( true @ Y1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
thf(f874,plain,
( ( $false
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y1 ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( true @ Y1 ) ) ) ) ) ) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f872]) ).
thf(f875,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f866,f872,f868]) ).
thf(f888,plain,
( ( ( ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y1 ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( true @ Y1 ) ) ) ) )
@ sK2 )
= $false )
| ~ spl1_2 ),
inference(sigma_proxy_clausification,[],[f874]) ).
thf(f891,plain,
( ( $false
= ( ( mrel @ sK0 @ sK2 )
=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK2 @ Y0 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y0 ) ) )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK2 @ Y0 )
=> ( true @ Y0 ) ) ) ) ) )
| ~ spl1_2 ),
inference(beta-eta_normalization,[],[f888]) ).
thf(f892,plain,
( ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK2 @ Y0 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y0 ) ) )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK2 @ Y0 )
=> ( true @ Y0 ) ) ) )
= $false )
| ~ spl1_2 ),
inference(imp_proxy_clausification,[],[f891]) ).
thf(f894,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK2 @ Y0 )
=> ( true @ Y0 ) ) )
= $false )
| ~ spl1_2 ),
inference(imp_proxy_clausification,[],[f892]) ).
thf(f896,plain,
! [X1: mworld] :
( ( ^ [Y0: mworld] :
( !! @ mworld
@ ^ [Y1: mworld] : ( mrel @ Y1 @ Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f517]) ).
thf(f897,plain,
! [X1: mworld] :
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] : ( mrel @ Y0 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f896]) ).
thf(f898,plain,
( ( ( ^ [Y0: mworld] :
( ( mrel @ sK2 @ Y0 )
=> ( true @ Y0 ) )
@ sK3 )
= $false )
| ~ spl1_2 ),
inference(sigma_proxy_clausification,[],[f894]) ).
thf(f901,plain,
( ( $false
= ( ( mrel @ sK2 @ sK3 )
=> ( true @ sK3 ) ) )
| ~ spl1_2 ),
inference(beta-eta_normalization,[],[f898]) ).
thf(f902,plain,
( ( ( true @ sK3 )
= $false )
| ~ spl1_2 ),
inference(imp_proxy_clausification,[],[f901]) ).
thf(f907,plain,
! [X2: mworld,X1: mworld] :
( ( ^ [Y0: mworld] : ( mrel @ Y0 @ X1 )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f897]) ).
thf(f908,plain,
! [X2: mworld,X1: mworld] :
( ( mrel @ X2 @ X1 )
= $true ),
inference(beta-eta_normalization,[],[f907]) ).
thf(f915,plain,
! [X1: mworld] :
( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( true @ Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f740]) ).
thf(f916,plain,
! [X1: mworld] :
( $true
= ( ( mrel @ mactual @ X1 )
=> ( true @ X1 ) ) ),
inference(beta-eta_normalization,[],[f915]) ).
thf(f917,plain,
! [X1: mworld] :
( ( $true
=> ( true @ X1 ) )
= $true ),
inference(forward_demodulation,[],[f916,f908]) ).
thf(f918,plain,
! [X1: mworld] :
( ( true @ X1 )
= $true ),
inference(boolean_simplification,[],[f917]) ).
thf(f920,plain,
( ( $false = $true )
| ~ spl1_2 ),
inference(superposition,[],[f902,f918]) ).
thf(f923,plain,
( $false
| ~ spl1_2 ),
inference(trivial_inequality_removal,[],[f920]) ).
thf(f924,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f923]) ).
thf(f945,plain,
( ( $false
= ( ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( true @ Y1 ) ) ) ) )
@ sK6 ) )
| ~ spl1_1 ),
inference(sigma_proxy_clausification,[],[f870]) ).
thf(f947,plain,
( ( ( ( mrel @ sK0 @ sK6 )
=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK6 @ Y0 )
=> ~ ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y1 ) ) ) ) )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK6 @ Y0 )
=> ( true @ Y0 ) ) ) ) )
= $false )
| ~ spl1_1 ),
inference(beta-eta_normalization,[],[f945]) ).
thf(f949,plain,
( ( $false
= ( $true
=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK6 @ Y0 )
=> ~ ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y1 ) ) ) ) )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK6 @ Y0 )
=> ( true @ Y0 ) ) ) ) ) )
| ~ spl1_1 ),
inference(forward_demodulation,[],[f947,f908]) ).
thf(f950,plain,
( ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK6 @ Y0 )
=> ~ ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y1 ) ) ) ) )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK6 @ Y0 )
=> ( true @ Y0 ) ) ) )
= $false )
| ~ spl1_1 ),
inference(boolean_simplification,[],[f949]) ).
thf(f951,plain,
( ( $false
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK6 @ Y0 )
=> ( true @ Y0 ) ) ) )
| ~ spl1_1 ),
inference(imp_proxy_clausification,[],[f950]) ).
thf(f953,plain,
( ( ( ^ [Y0: mworld] :
( ( mrel @ sK6 @ Y0 )
=> ( true @ Y0 ) )
@ sK7 )
= $false )
| ~ spl1_1 ),
inference(sigma_proxy_clausification,[],[f951]) ).
thf(f955,plain,
( ( $false
= ( ( mrel @ sK6 @ sK7 )
=> ( true @ sK7 ) ) )
| ~ spl1_1 ),
inference(beta-eta_normalization,[],[f953]) ).
thf(f957,plain,
( ( $false
= ( $true
=> ( true @ sK7 ) ) )
| ~ spl1_1 ),
inference(forward_demodulation,[],[f955,f908]) ).
thf(f958,plain,
( ( $false
= ( true @ sK7 ) )
| ~ spl1_1 ),
inference(boolean_simplification,[],[f957]) ).
thf(f959,plain,
( ( $false = $true )
| ~ spl1_1 ),
inference(forward_demodulation,[],[f958,f918]) ).
thf(f960,plain,
( $false
| ~ spl1_1 ),
inference(trivial_inequality_removal,[],[f959]) ).
thf(f961,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f960]) ).
cnf(s1,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f875]) ).
cnf(s3,plain,
~ spl1_2,
inference(sat_conversion,[],[f924]) ).
cnf(s4,plain,
~ spl1_1,
inference(sat_conversion,[],[f961]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
thf(f962,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL955^24 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n019.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 10:54:33 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.25 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
% 0.59/0.40 % (605779)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.59/0.40 % (605785)lrs+10_16_si=on:nwc=1.5:random_seed=1899714783:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.59/0.40 % (605790)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.59/0.40 % (605790)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
% 0.59/0.40 % (605785)Instruction limit reached!
% 0.59/0.40 % (605785)------------------------------
% 0.59/0.40 % (605785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (605785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (605785)CaDiCaL version: 2.1.3
% 0.59/0.40 % (605785)Termination reason: Instruction limit
% 0.59/0.40 % (605785)Termination phase: shuffling
% 0.59/0.40 % (605785)Time elapsed: 0.005 s
% 0.59/0.40 % (605785)Peak memory usage: 10 MB
% 0.59/0.40 % (605785)Instructions burned: 22 (million)
% 0.59/0.40 % (605786)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3972142755:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.59/0.40 % (605784)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3233761416:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.59/0.40 % (605790)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=1008328190:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.59/0.40 % (605787)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=3334261949: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)
% 0.59/0.40 % (605788)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1468093862:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.59/0.40 % (605789)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3644658622:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.59/0.40 % (605786)Instruction limit reached!
% 0.59/0.40 % (605786)------------------------------
% 0.59/0.40 % (605786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (605786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (605786)CaDiCaL version: 2.1.3
% 0.59/0.40 % (605786)Termination reason: Instruction limit
% 0.59/0.40 % (605786)Termination phase: shuffling
% 0.59/0.40 % (605786)Time elapsed: 0.004 s
% 0.59/0.40 % (605786)Peak memory usage: 10 MB
% 0.59/0.40 % (605786)Instructions burned: 8 (million)
% 0.59/0.40 % (605792)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3954548564:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.59/0.40 % (605788)Instruction limit reached!
% 0.59/0.40 % (605788)------------------------------
% 0.59/0.40 % (605788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (605788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (605788)CaDiCaL version: 2.1.3
% 0.59/0.40 % (605788)Termination reason: Instruction limit
% 0.59/0.40 % (605788)Termination phase: shuffling
% 0.59/0.40 % (605788)Time elapsed: 0.010 s
% 0.59/0.40 % (605788)Peak memory usage: 10 MB
% 0.59/0.40 % (605788)Instructions burned: 25 (million)
% 0.59/0.40 % (605792)Instruction limit reached!
% 0.59/0.40 % (605792)------------------------------
% 0.59/0.40 % (605792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (605792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (605792)CaDiCaL version: 2.1.3
% 0.59/0.40 % (605792)Termination reason: Instruction limit
% 0.59/0.40 % (605792)Termination phase: shuffling
% 0.59/0.40 % (605792)Time elapsed: 0.003 s
% 0.59/0.40 % (605792)Peak memory usage: 10 MB
% 0.59/0.40 % (605792)Instructions burned: 12 (million)
% 0.59/0.40 % (605802)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3776449679:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.59/0.40 % (605801)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.59/0.43 % (605802)Instruction limit reached!
% 0.59/0.43 % (605802)------------------------------
% 0.59/0.43 % (605802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.43 % (605802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.43 % (605802)CaDiCaL version: 2.1.3
% 0.59/0.43 % (605802)Termination reason: Instruction limit
% 0.59/0.43 % (605802)Termination phase: shuffling
% 0.59/0.43 % (605802)Time elapsed: 0.004 s
% 0.59/0.43 % (605802)Peak memory usage: 10 MB
% 0.59/0.43 % (605802)Instructions burned: 18 (million)
% 0.59/0.43 % (605801)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1517713694:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.59/0.43 % (605789)Instruction limit reached!
% 0.59/0.43 % (605789)------------------------------
% 0.59/0.43 % (605789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.43 % (605789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.43 % (605789)CaDiCaL version: 2.1.3
% 0.59/0.43 % (605789)Termination reason: Instruction limit
% 0.59/0.43 % (605789)Termination phase: Property scanning
% 0.59/0.43 % (605789)Time elapsed: 0.031 s
% 0.59/0.43 % (605789)Peak memory usage: 11 MB
% 0.59/0.43 % (605789)Instructions burned: 77 (million)
% 0.59/0.43 % (605784)Instruction limit reached!
% 0.59/0.43 % (605784)------------------------------
% 0.59/0.43 % (605784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.43 % (605784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.43 % (605784)CaDiCaL version: 2.1.3
% 0.59/0.43 % (605784)Termination reason: Instruction limit
% 0.59/0.43 % (605784)Termination phase: Function definition elimination
% 0.59/0.43 % (605784)Time elapsed: 0.035 s
% 0.59/0.43 % (605784)Peak memory usage: 11 MB
% 0.59/0.43 % (605784)Instructions burned: 87 (million)
% 0.59/0.43 % (605801)Instruction limit reached!
% 0.59/0.43 % (605801)------------------------------
% 0.59/0.43 % (605801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.43 % (605801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.43 % (605801)CaDiCaL version: 2.1.3
% 0.59/0.43 % (605801)Termination reason: Instruction limit
% 0.59/0.43 % (605801)Termination phase: shuffling
% 0.59/0.43 % (605801)Time elapsed: 0.004 s
% 0.59/0.43 % (605801)Peak memory usage: 10 MB
% 0.59/0.43 % (605801)Instructions burned: 9 (million)
% 0.59/0.43 % (605799)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=417509285:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.59/0.43 % (605804)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
% 0.59/0.43 % (605804)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.59/0.43 % (605799)Instruction limit reached!
% 0.59/0.43 % (605799)------------------------------
% 0.59/0.43 % (605799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.43 % (605799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.43 % (605799)CaDiCaL version: 2.1.3
% 0.59/0.43 % (605799)Termination reason: Instruction limit
% 0.59/0.43 % (605799)Termination phase: shuffling
% 0.59/0.43 % (605799)Time elapsed: 0.004 s
% 0.59/0.43 % (605799)Peak memory usage: 10 MB
% 0.59/0.43 % (605799)Instructions burned: 5 (million)
% 0.59/0.43 % (605804)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1726548840:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.59/0.43 % (605808)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.59/0.43 % (605807)lrs+10_1_si=on:cs=on:random_seed=2361867232:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.59/0.43 % (605808)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=3724527842:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.59/0.46 % (605806)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=889403519:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.59/0.46 % (605804)Instruction limit reached!
% 0.59/0.46 % (605804)------------------------------
% 0.59/0.46 % (605804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.46 % (605804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.46 % (605804)CaDiCaL version: 2.1.3
% 0.59/0.46 % (605804)Termination reason: Instruction limit
% 0.59/0.46 % (605804)Termination phase: Property scanning
% 0.59/0.46 % (605804)Time elapsed: 0.008 s
% 0.59/0.46 % (605804)Peak memory usage: 10 MB
% 0.59/0.46 % (605804)Instructions burned: 29 (million)
% 0.59/0.46 % (605808)Instruction limit reached!
% 0.59/0.46 % (605808)------------------------------
% 0.59/0.46 % (605808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.46 % (605808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.46 % (605808)CaDiCaL version: 2.1.3
% 0.59/0.46 % (605808)Termination reason: Instruction limit
% 0.59/0.46 % (605808)Termination phase: shuffling
% 0.59/0.46 % (605808)Time elapsed: 0.002 s
% 0.59/0.46 % (605808)Peak memory usage: 10 MB
% 0.59/0.46 % (605808)Instructions burned: 4 (million)
% 0.59/0.46 % (605807)Instruction limit reached!
% 0.59/0.46 % (605807)------------------------------
% 0.59/0.46 % (605807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.46 % (605807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.46 % (605807)CaDiCaL version: 2.1.3
% 0.59/0.46 % (605807)Termination reason: Instruction limit
% 0.59/0.46 % (605807)Termination phase: shuffling
% 0.59/0.46 % (605807)Time elapsed: 0.003 s
% 0.59/0.46 % (605807)Peak memory usage: 10 MB
% 0.59/0.46 % (605807)Instructions burned: 8 (million)
% 0.59/0.46 % (605790)Instruction limit reached!
% 0.59/0.46 % (605790)------------------------------
% 0.59/0.46 % (605790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.46 % (605790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.46 % (605790)CaDiCaL version: 2.1.3
% 0.59/0.46 % (605790)Termination reason: Instruction limit
% 0.59/0.46 % (605790)Termination phase: Property scanning
% 0.59/0.46 % (605790)Time elapsed: 0.061 s
% 0.59/0.46 % (605790)Peak memory usage: 12 MB
% 0.59/0.46 % (605790)Instructions burned: 158 (million)
% 0.59/0.46 % (605810)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3068729619:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.59/0.46 % (605806)Instruction limit reached!
% 0.59/0.46 % (605806)------------------------------
% 0.59/0.46 % (605806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.46 % (605806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.46 % (605806)CaDiCaL version: 2.1.3
% 0.59/0.46 % (605806)Termination reason: Instruction limit
% 0.59/0.46 % (605806)Termination phase: Property scanning
% 0.59/0.46 % (605806)Time elapsed: 0.017 s
% 0.59/0.46 % (605806)Peak memory usage: 11 MB
% 0.59/0.46 % (605806)Instructions burned: 86 (million)
% 0.59/0.46 % (605815)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=766188841:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.59/0.46 % (605816)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3607693550:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.59/0.46 % (605817)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3802721846:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.59/0.46 % (605810)Instruction limit reached!
% 0.59/0.46 % (605810)------------------------------
% 0.59/0.46 % (605810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.46 % (605810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.46 % (605810)CaDiCaL version: 2.1.3
% 0.59/0.46 % (605810)Termination reason: Instruction limit
% 0.59/0.46 % (605810)Termination phase: Property scanning
% 0.59/0.46 % (605810)Time elapsed: 0.016 s
% 0.59/0.46 % (605810)Peak memory usage: 10 MB
% 0.59/0.46 % (605810)Instructions burned: 40 (million)
% 0.59/0.46 % (605819)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3359675251:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.38/0.51 % (605817)Instruction limit reached!
% 1.38/0.51 % (605817)------------------------------
% 1.38/0.51 % (605817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.51 % (605817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.51 % (605817)CaDiCaL version: 2.1.3
% 1.38/0.51 % (605817)Termination reason: Instruction limit
% 1.38/0.51 % (605817)Termination phase: shuffling
% 1.38/0.51 % (605817)Time elapsed: 0.006 s
% 1.38/0.51 % (605817)Peak memory usage: 10 MB
% 1.38/0.51 % (605817)Instructions burned: 16 (million)
% 1.38/0.51 % (605820)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=444504966:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.38/0.51 % (605816)Instruction limit reached!
% 1.38/0.51 % (605816)------------------------------
% 1.38/0.51 % (605816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.51 % (605816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.51 % (605816)CaDiCaL version: 2.1.3
% 1.38/0.51 % (605816)Termination reason: Instruction limit
% 1.38/0.51 % (605816)Termination phase: shuffling
% 1.38/0.51 % (605816)Time elapsed: 0.010 s
% 1.38/0.51 % (605816)Peak memory usage: 10 MB
% 1.38/0.51 % (605816)Instructions burned: 27 (million)
% 1.38/0.51 % (605820)Instruction limit reached!
% 1.38/0.51 % (605820)------------------------------
% 1.38/0.51 % (605820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.51 % (605820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.51 % (605820)CaDiCaL version: 2.1.3
% 1.38/0.51 % (605820)Termination reason: Instruction limit
% 1.38/0.51 % (605820)Termination phase: shuffling
% 1.38/0.51 % (605820)Time elapsed: 0.003 s
% 1.38/0.51 % (605820)Peak memory usage: 10 MB
% 1.38/0.51 % (605820)Instructions burned: 15 (million)
% 1.38/0.51 % (605829)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3681176220:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.38/0.51 % (605824)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1641890443: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)
% 1.38/0.51 % (605824)Instruction limit reached!
% 1.38/0.51 % (605824)------------------------------
% 1.38/0.51 % (605824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.51 % (605824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.51 % (605824)CaDiCaL version: 2.1.3
% 1.38/0.51 % (605824)Termination reason: Instruction limit
% 1.38/0.51 % (605824)Termination phase: shuffling
% 1.38/0.51 % (605824)Time elapsed: 0.002 s
% 1.38/0.51 % (605824)Peak memory usage: 10 MB
% 1.38/0.51 % (605824)Instructions burned: 4 (million)
% 1.38/0.51 % (605827)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1007756101:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.38/0.51 % (605828)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2310650992:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.38/0.51 % (605815)Refutation not found, incomplete strategy
% 1.38/0.51 % (605815)------------------------------
% 1.38/0.51 % (605815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.51 % (605815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.51 % (605815)CaDiCaL version: 2.1.3
% 1.38/0.51 % (605815)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.51 % (605815)Time elapsed: 0.031 s
% 1.38/0.51 % (605815)Peak memory usage: 13 MB
% 1.38/0.51 % (605815)Instructions burned: 76 (million)
% 1.38/0.51 % (605815)------------------------------
% 1.38/0.51 % (605815)------------------------------
% 1.38/0.51 % (605829)Instruction limit reached!
% 1.38/0.51 % (605829)------------------------------
% 1.38/0.51 % (605829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.51 % (605829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.51 % (605829)CaDiCaL version: 2.1.3
% 1.38/0.51 % (605829)Termination reason: Instruction limit
% 1.38/0.51 % (605829)Termination phase: Property scanning
% 1.38/0.51 % (605829)Time elapsed: 0.014 s
% 1.38/0.56 % (605829)Peak memory usage: 11 MB
% 1.38/0.56 % (605829)Instructions burned: 69 (million)
% 1.38/0.56 % (605827)Instruction limit reached!
% 1.38/0.56 % (605827)------------------------------
% 1.38/0.56 % (605827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.56 % (605827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.56 % (605827)CaDiCaL version: 2.1.3
% 1.38/0.56 % (605827)Termination reason: Instruction limit
% 1.38/0.56 % (605827)Termination phase: Property scanning
% 1.38/0.56 % (605827)Time elapsed: 0.012 s
% 1.38/0.56 % (605827)Peak memory usage: 10 MB
% 1.38/0.56 % (605827)Instructions burned: 28 (million)
% 1.38/0.56 % (605832)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
% 1.38/0.56 % (605832)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.38/0.56 % (605828)Instruction limit reached!
% 1.38/0.56 % (605828)------------------------------
% 1.38/0.56 % (605828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.56 % (605828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.56 % (605828)CaDiCaL version: 2.1.3
% 1.38/0.56 % (605828)Termination reason: Instruction limit
% 1.38/0.56 % (605828)Termination phase: shuffling
% 1.38/0.56 % (605828)Time elapsed: 0.010 s
% 1.38/0.56 % (605828)Peak memory usage: 10 MB
% 1.38/0.56 % (605828)Instructions burned: 25 (million)
% 1.38/0.56 % (605832)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=174200474:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.38/0.56 % (605836)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=1185000219:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.38/0.56 % (605832)Instruction limit reached!
% 1.38/0.56 % (605832)------------------------------
% 1.38/0.56 % (605832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.56 % (605832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.56 % (605832)CaDiCaL version: 2.1.3
% 1.38/0.56 % (605832)Termination reason: Instruction limit
% 1.38/0.56 % (605832)Termination phase: shuffling
% 1.38/0.56 % (605832)Time elapsed: 0.006 s
% 1.38/0.56 % (605832)Peak memory usage: 10 MB
% 1.38/0.56 % (605832)Instructions burned: 16 (million)
% 1.38/0.56 % (605836)Instruction limit reached!
% 1.38/0.56 % (605836)------------------------------
% 1.38/0.56 % (605836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.56 % (605836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.56 % (605836)CaDiCaL version: 2.1.3
% 1.38/0.56 % (605836)Termination reason: Instruction limit
% 1.38/0.56 % (605836)Termination phase: Property scanning
% 1.38/0.56 % (605836)Time elapsed: 0.007 s
% 1.38/0.56 % (605836)Peak memory usage: 10 MB
% 1.38/0.56 % (605836)Instructions burned: 33 (million)
% 1.38/0.56 % (605835)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.38/0.56 % (605837)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4163992025:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.38/0.56 % (605838)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1078527139:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.38/0.56 % (605837)Instruction limit reached!
% 1.38/0.56 % (605837)------------------------------
% 1.38/0.56 % (605837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.56 % (605837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.56 % (605837)CaDiCaL version: 2.1.3
% 1.38/0.56 % (605837)Termination reason: Instruction limit
% 1.38/0.56 % (605837)Termination phase: shuffling
% 1.38/0.56 % (605837)Time elapsed: 0.003 s
% 1.38/0.56 % (605837)Peak memory usage: 10 MB
% 1.38/0.56 % (605837)Instructions burned: 7 (million)
% 1.38/0.56 % (605842)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1864460358:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.38/0.56 % (605835)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=1144747113:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.38/0.57 % (605819)Refutation not found, incomplete strategy
% 1.38/0.57 % (605819)------------------------------
% 1.38/0.57 % (605819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.57 % (605838)Instruction limit reached!
% 1.38/0.57 % (605838)------------------------------
% 1.38/0.57 % (605838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.57 % (605819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.57 % (605838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.57 % (605819)CaDiCaL version: 2.1.3
% 1.38/0.57 % (605819)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.57 % (605819)Time elapsed: 0.065 s
% 1.38/0.57 % (605838)CaDiCaL version: 2.1.3
% 1.38/0.57 % (605838)Termination reason: Instruction limit
% 1.38/0.57 % (605838)Termination phase: Property scanning
% 1.38/0.57 % (605838)Time elapsed: 0.010 s
% 1.38/0.57 % (605838)Peak memory usage: 10 MB
% 1.38/0.57 % (605819)Peak memory usage: 14 MB
% 1.38/0.57 % (605838)Instructions burned: 26 (million)
% 1.38/0.57 % (605819)Instructions burned: 146 (million)
% 1.38/0.57 % (605841)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1230455295:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.38/0.57 % (605819)------------------------------
% 1.38/0.57 % (605819)------------------------------
% 1.38/0.57 % (605835)Instruction limit reached!
% 1.38/0.57 % (605835)------------------------------
% 1.38/0.57 % (605835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.57 % (605835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.57 % (605835)CaDiCaL version: 2.1.3
% 1.38/0.57 % (605835)Termination reason: Instruction limit
% 1.38/0.57 % (605835)Termination phase: shuffling
% 1.38/0.57 % (605835)Time elapsed: 0.009 s
% 1.38/0.57 % (605835)Peak memory usage: 10 MB
% 1.38/0.57 % (605835)Instructions burned: 9 (million)
% 1.38/0.57 % (605841)Instruction limit reached!
% 1.38/0.57 % (605841)------------------------------
% 1.38/0.57 % (605841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.57 % (605841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.57 % (605841)CaDiCaL version: 2.1.3
% 1.38/0.57 % (605841)Termination reason: Instruction limit
% 1.38/0.57 % (605841)Termination phase: shuffling
% 1.38/0.57 % (605841)Time elapsed: 0.008 s
% 1.38/0.57 % (605841)Peak memory usage: 10 MB
% 1.38/0.57 % (605845)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=53245700:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.38/0.57 % (605841)Instructions burned: 21 (million)
% 1.38/0.57 % (605850)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1660888863:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.38/0.57 % (605853)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1935867069:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.38/0.57 % (605849)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=136188420:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.38/0.57 % (605851)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.38/0.57 % (605850)Instruction limit reached!
% 1.38/0.57 % (605850)------------------------------
% 1.38/0.57 % (605850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.57 % (605850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.57 % (605850)CaDiCaL version: 2.1.3
% 1.38/0.57 % (605850)Termination reason: Instruction limit
% 1.38/0.57 % (605850)Termination phase: Property scanning
% 1.38/0.57 % (605850)Time elapsed: 0.017 s
% 1.38/0.57 % (605850)Peak memory usage: 10 MB
% 1.38/0.57 % (605850)Instructions burned: 43 (million)
% 1.38/0.57 % (605851)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2804452574:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.38/0.57 % (605851)Instruction limit reached!
% 1.38/0.57 % (605851)------------------------------
% 1.38/0.57 % (605851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.57 % (605851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.57 % (605851)CaDiCaL version: 2.1.3
% 1.38/0.57 % (605851)Termination reason: Instruction limit
% 1.38/0.57 % (605851)Termination phase: shuffling
% 1.38/0.57 % (605851)Time elapsed: 0.006 s
% 1.38/0.57 % (605851)Peak memory usage: 10 MB
% 1.38/0.57 % (605851)Instructions burned: 8 (million)
% 1.38/0.57 % (605857)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=595325101: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)
% 1.38/0.57 % (605859)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.38/0.57 % (605845)Instruction limit reached!
% 1.38/0.57 % (605845)------------------------------
% 1.38/0.57 % (605845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.57 % (605845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.57 % (605845)CaDiCaL version: 2.1.3
% 1.38/0.57 % (605845)Termination reason: Instruction limit
% 1.38/0.57 % (605845)Termination phase: Property scanning
% 1.38/0.57 % (605845)Time elapsed: 0.055 s
% 1.38/0.57 % (605845)Peak memory usage: 11 MB
% 1.38/0.57 % (605845)Instructions burned: 143 (million)
% 1.38/0.57 % (605859)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1057398717:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.38/0.57 % (605859)Instruction limit reached!
% 1.38/0.57 % (605859)------------------------------
% 1.38/0.57 % (605859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.57 % (605859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.57 % (605859)CaDiCaL version: 2.1.3
% 1.38/0.57 % (605859)Termination reason: Instruction limit
% 1.38/0.57 % (605859)Termination phase: shuffling
% 1.38/0.57 % (605859)Time elapsed: 0.003 s
% 1.38/0.57 % (605859)Peak memory usage: 10 MB
% 1.38/0.57 % (605859)Instructions burned: 8 (million)
% 1.38/0.57 % (605849)Refutation not found, incomplete strategy
% 1.38/0.57 % (605849)------------------------------
% 1.38/0.57 % (605849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.57 % (605849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.57 % (605849)CaDiCaL version: 2.1.3
% 1.38/0.57 % (605849)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.57 % (605849)Time elapsed: 0.048 s
% 1.38/0.57 % (605849)Peak memory usage: 13 MB
% 1.38/0.57 % (605849)Instructions burned: 111 (million)
% 1.38/0.57 % (605849)------------------------------
% 1.38/0.57 % (605849)------------------------------
% 1.38/0.57 % (605861)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3012654465:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.38/0.57 % (605853)Refutation not found, incomplete strategy
% 1.38/0.57 % (605853)------------------------------
% 1.38/0.57 % (605853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.57 % (605853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.57 % (605853)CaDiCaL version: 2.1.3
% 1.38/0.57 % (605853)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.57 % (605853)Time elapsed: 0.057 s
% 1.38/0.57 % (605853)Peak memory usage: 13 MB
% 1.38/0.57 % (605853)Instructions burned: 133 (million)
% 1.38/0.57 % (605853)------------------------------
% 1.38/0.57 % (605853)------------------------------
% 1.38/0.57 % (605863)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1981062969:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 1.38/0.57 % (605861)Instruction limit reached!
% 1.38/0.57 % (605861)------------------------------
% 1.38/0.57 % (605861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.57 % (605861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.57 % (605861)CaDiCaL version: 2.1.3
% 1.38/0.57 % (605861)Termination reason: Instruction limit
% 1.38/0.57 % (605861)Termination phase: shuffling
% 1.38/0.57 % (605861)Time elapsed: 0.009 s
% 1.38/0.57 % (605861)Peak memory usage: 10 MB
% 1.38/0.57 % (605861)Instructions burned: 24 (million)
% 1.38/0.57 % (605864)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=1821410427:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 1.38/0.57 % (605857)Refutation not found, incomplete strategy
% 1.38/0.57 % (605857)------------------------------
% 1.38/0.57 % (605857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.57 % (605857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.57 % (605857)CaDiCaL version: 2.1.3
% 1.38/0.57 % (605857)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.57 % (605857)Time elapsed: 0.045 s
% 1.38/0.57 % (605857)Peak memory usage: 14 MB
% 1.38/0.57 % (605857)Instructions burned: 107 (million)
% 1.38/0.57 % (605842) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-605779-605842"...
% 1.38/0.57 % (605857)------------------------------
% 1.38/0.57 % (605857)------------------------------
% 1.38/0.57 % (605863)Instruction limit reached!
% 1.38/0.57 % (605863)------------------------------
% 1.38/0.57 % (605863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.57 % (605842)...printing done.
% 1.38/0.57 % (605863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.57 % (605863)CaDiCaL version: 2.1.3
% 1.38/0.57 % (605863)Termination reason: Instruction limit
% 1.38/0.57 % (605863)Termination phase: shuffling
% 1.38/0.57 % (605863)Time elapsed: 0.016 s
% 1.38/0.57 % (605863)Peak memory usage: 10 MB
% 1.38/0.57 % (605863)Instructions burned: 20 (million)
% 1.38/0.57 % (605866)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=1148740251:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 1.38/0.57 % (605842)Refutation found. Thanks to Tanya!
% 1.38/0.57 % SZS status Theorem for theBenchmark
% 1.38/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.58 % (605842)------------------------------
% 1.38/0.58 % (605842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.58 % (605842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.58 % (605842)CaDiCaL version: 2.1.3
% 1.38/0.58 % (605842)Termination reason: Refutation
% 1.38/0.58 % (605842)Time elapsed: 0.111 s
% 1.38/0.58 % (605842)Peak memory usage: 17 MB
% 1.38/0.58 % (605842)Instructions burned: 518 (million)
% 1.38/0.58 % (605779)Success in time 0.314 s
% 1.38/0.58 % Vampire exiting
%------------------------------------------------------------------------------