%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP197^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 08:08:46 AM UTC 2026
% Result : Theorem 2.26s 0.64s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 127 ( 106 unt; 0 typ; 0 def)
% Number of atoms : 462 ( 264 equ; 12 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 806 ( 33 ~; 48 |; 0 &; 654 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 15 ( 14 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 119 ( 114 usr; 13 con; 0-4 aty)
% ( 51 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 217 ( 116 ^; 101 !; 0 ?; 217 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
list_l1704431731scheme: $tType ).
thf(type_def_6,type,
list_l865305402le_typ: $tType ).
thf(type_def_7,type,
list_l1334080099scheme: $tType ).
thf(type_def_8,type,
list_n396811828le_typ: $tType ).
thf(type_def_9,type,
list_l1790670291le_typ: $tType ).
thf(type_def_10,type,
list_T247403987scheme: $tType ).
thf(type_def_11,type,
list_T1103309005le_typ: $tType ).
thf(type_def_12,type,
type_M1694694083scheme: $tType ).
thf(type_def_13,type,
list_set_nat: $tType ).
thf(type_def_14,type,
list_nat_o: $tType ).
thf(type_def_15,type,
type_Mirabelle_typ: $tType ).
thf(type_def_16,type,
list_nat: $tType ).
thf(type_def_17,type,
set_nat: $tType ).
thf(type_def_18,type,
nat: $tType ).
thf(type_def_19,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
the_nat: ( nat > $o ) > nat ).
thf(func_def_1,type,
if_nat: $o > nat > nat > nat ).
thf(func_def_2,type,
if_Typ1169047309le_typ: $o > type_Mirabelle_typ > type_Mirabelle_typ > type_Mirabelle_typ ).
thf(func_def_3,type,
semila1414375521_nat_o: ( ( nat > $o ) > ( nat > $o ) > nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_4,type,
semila1369944356et_nat: ( set_nat > set_nat > set_nat ) > set_nat > $o ).
thf(func_def_5,type,
sup_sup_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).
thf(func_def_6,type,
sup_sup_nat: nat > nat > nat ).
thf(func_def_7,type,
sup_sup_set_nat: set_nat > set_nat > set_nat ).
thf(func_def_8,type,
cons_nat_o: ( nat > $o ) > list_nat_o > list_nat_o ).
thf(func_def_9,type,
cons_n499085924le_typ: ( nat > type_Mirabelle_typ ) > list_n396811828le_typ > list_n396811828le_typ ).
thf(func_def_10,type,
cons_l1800589546le_typ: list_n396811828le_typ > list_l865305402le_typ > list_l865305402le_typ ).
thf(func_def_11,type,
cons_l531914285scheme: list_l1334080099scheme > list_l1704431731scheme > list_l1704431731scheme ).
thf(func_def_12,type,
cons_l392684675le_typ: list_T1103309005le_typ > list_l1790670291le_typ > list_l1790670291le_typ ).
thf(func_def_13,type,
cons_l1910959773scheme: list_T247403987scheme > list_l1334080099scheme > list_l1334080099scheme ).
thf(func_def_14,type,
cons_nat: nat > list_nat > list_nat ).
thf(func_def_15,type,
cons_set_nat: set_nat > list_set_nat > list_set_nat ).
thf(func_def_16,type,
cons_T363929085le_typ: type_Mirabelle_typ > list_T1103309005le_typ > list_T1103309005le_typ ).
thf(func_def_17,type,
cons_T633159821scheme: type_M1694694083scheme > list_T247403987scheme > list_T247403987scheme ).
thf(func_def_18,type,
nil_nat_o: list_nat_o ).
thf(func_def_19,type,
nil_nat: list_nat ).
thf(func_def_20,type,
nil_set_nat: list_set_nat ).
thf(func_def_21,type,
nil_Ty61485117scheme: list_T247403987scheme ).
thf(func_def_22,type,
ord_lexordp_eq_nat_o: list_nat_o > list_nat_o > $o ).
thf(func_def_23,type,
ord_lexordp_eq_nat: list_nat > list_nat > $o ).
thf(func_def_24,type,
ord_le727790544et_nat: list_set_nat > list_set_nat > $o ).
thf(func_def_25,type,
bot_bot_nat_o: nat > $o ).
thf(func_def_26,type,
bot_bot_o: $o ).
thf(func_def_27,type,
bot_bot_nat: nat ).
thf(func_def_28,type,
bot_bot_set_nat: set_nat ).
thf(func_def_29,type,
ord_less_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_30,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_31,type,
ord_less_set_nat: set_nat > set_nat > $o ).
thf(func_def_32,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_33,type,
insert_nat: nat > set_nat > set_nat ).
thf(func_def_34,type,
is_empty_nat: set_nat > $o ).
thf(func_def_35,type,
is_singleton_nat: set_nat > $o ).
thf(func_def_36,type,
the_elem_nat: set_nat > nat ).
thf(func_def_37,type,
type_Mirabelle_cod: ( nat > type_Mirabelle_typ ) > set_nat ).
thf(func_def_38,type,
type_Mirabelle_dom: ( nat > type_Mirabelle_typ ) > set_nat ).
thf(func_def_39,type,
type_M405566558_subst: nat > type_Mirabelle_typ ).
thf(func_def_40,type,
type_M1006385707scheme: type_Mirabelle_typ > type_M1694694083scheme ).
thf(func_def_41,type,
type_M1734147655le_typ: nat > ( nat > type_Mirabelle_typ ) > $o ).
thf(func_def_42,type,
type_M244876119le_typ: nat > list_n396811828le_typ > $o ).
thf(func_def_43,type,
type_M2086816231le_typ: nat > list_l865305402le_typ > $o ).
thf(func_def_44,type,
type_M1172169604scheme: nat > list_l1704431731scheme > $o ).
thf(func_def_45,type,
type_M1826376056le_typ: nat > list_l1790670291le_typ > $o ).
thf(func_def_46,type,
type_M1377662078scheme: nat > list_l1334080099scheme > $o ).
thf(func_def_47,type,
type_M263553000le_typ: nat > list_T1103309005le_typ > $o ).
thf(func_def_48,type,
type_M2064939256scheme: nat > list_T247403987scheme > $o ).
thf(func_def_49,type,
type_M1211611096le_typ: nat > type_Mirabelle_typ > $o ).
thf(func_def_50,type,
type_M1963061490scheme: nat > type_M1694694083scheme > $o ).
thf(func_def_51,type,
type_M1898948661at_nat: nat > nat ).
thf(func_def_52,type,
type_Mirabelle_Fun: type_Mirabelle_typ > type_Mirabelle_typ > type_Mirabelle_typ ).
thf(func_def_53,type,
type_Mirabelle_TVar: nat > type_Mirabelle_typ ).
thf(func_def_54,type,
type_M1743451154le_typ: type_Mirabelle_typ > type_Mirabelle_typ ).
thf(func_def_55,type,
type_M2048935292e_BVar: nat > type_M1694694083scheme ).
thf(func_def_56,type,
type_M876316792e_FVar: nat > type_M1694694083scheme ).
thf(func_def_57,type,
type_M155660035e_SFun: type_M1694694083scheme > type_M1694694083scheme > type_M1694694083scheme ).
thf(func_def_58,type,
type_M1158474302le_typ: ( nat > type_Mirabelle_typ ) > ( nat > type_Mirabelle_typ ) > nat > type_Mirabelle_typ ).
thf(func_def_59,type,
type_M737052622le_typ: ( nat > type_Mirabelle_typ ) > list_n396811828le_typ > list_n396811828le_typ ).
thf(func_def_60,type,
type_M1385924301scheme: ( nat > type_Mirabelle_typ ) > list_l1704431731scheme > list_l1704431731scheme ).
thf(func_def_61,type,
type_M1913464047le_typ: ( nat > type_Mirabelle_typ ) > list_l1790670291le_typ > list_l1790670291le_typ ).
thf(func_def_62,type,
type_M1061687367scheme: ( nat > type_Mirabelle_typ ) > list_l1334080099scheme > list_l1334080099scheme ).
thf(func_def_63,type,
type_M1440203487le_typ: ( nat > type_Mirabelle_typ ) > list_T1103309005le_typ > list_T1103309005le_typ ).
thf(func_def_64,type,
type_M1944210753scheme: ( nat > type_Mirabelle_typ ) > list_T247403987scheme > list_T247403987scheme ).
thf(func_def_65,type,
type_M784671311le_typ: ( nat > type_Mirabelle_typ ) > type_Mirabelle_typ > type_Mirabelle_typ ).
thf(func_def_66,type,
type_M1690910139scheme: ( nat > type_Mirabelle_typ ) > type_M1694694083scheme > type_M1694694083scheme ).
thf(func_def_67,type,
type_M772783356le_typ: ( nat > type_Mirabelle_typ ) > set_nat ).
thf(func_def_68,type,
type_M513401740le_typ: list_n396811828le_typ > set_nat ).
thf(func_def_69,type,
type_M1496178953scheme: list_l1334080099scheme > set_nat ).
thf(func_def_70,type,
type_M1539052445le_typ: list_T1103309005le_typ > set_nat ).
thf(func_def_71,type,
type_M961603331scheme: list_T247403987scheme > set_nat ).
thf(func_def_72,type,
type_M801073677le_typ: type_Mirabelle_typ > set_nat ).
thf(func_def_73,type,
type_M326705277scheme: type_M1694694083scheme > set_nat ).
thf(func_def_74,type,
type_M1715972684le_typ: ( nat > type_Mirabelle_typ ) > set_nat ).
thf(func_def_75,type,
type_M1691543772le_typ: list_n396811828le_typ > set_nat ).
thf(func_def_76,type,
type_M906078444le_typ: list_l865305402le_typ > set_nat ).
thf(func_def_77,type,
type_M1926053183scheme: list_l1704431731scheme > set_nat ).
thf(func_def_78,type,
type_M1418941437le_typ: list_l1790670291le_typ > set_nat ).
thf(func_def_79,type,
type_M1958029241scheme: list_l1334080099scheme > set_nat ).
thf(func_def_80,type,
type_M510873837le_typ: list_T1103309005le_typ > set_nat ).
thf(func_def_81,type,
type_M141510067scheme: list_T247403987scheme > set_nat ).
thf(func_def_82,type,
type_M49385309le_typ: type_Mirabelle_typ > set_nat ).
thf(func_def_83,type,
type_M1050318637scheme: type_M1694694083scheme > set_nat ).
thf(func_def_84,type,
member_nat: nat > set_nat > $o ).
thf(func_def_85,type,
s1: nat > type_Mirabelle_typ ).
thf(func_def_86,type,
s2: nat > type_Mirabelle_typ ).
thf(func_def_87,type,
n: nat ).
thf(func_def_88,type,
x: nat ).
thf(func_def_90,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_91,type,
vIMP: $o > $o > $o ).
thf(func_def_92,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_93,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_94,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_95,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_98,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_99,type,
vNOT: $o > $o ).
thf(func_def_100,type,
vAND: $o > $o > $o ).
thf(func_def_101,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_102,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_103,type,
vOR: $o > $o > $o ).
thf(func_def_104,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_105,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_106,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_107,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_109,type,
sK1: set_nat > nat ).
thf(func_def_110,type,
sK2: set_nat > nat ).
thf(func_def_111,type,
sK3: nat > nat ).
thf(func_def_112,type,
sK4: ( nat > $o ) > nat > nat ).
thf(func_def_113,type,
sK5: type_Mirabelle_typ > type_Mirabelle_typ ).
thf(func_def_114,type,
sK6: type_Mirabelle_typ > type_Mirabelle_typ ).
thf(func_def_115,type,
sK7: type_Mirabelle_typ > nat ).
thf(func_def_116,type,
sK8: ( nat > $o ) > ( nat > $o ) > nat ).
thf(f4,axiom,
! [X1: nat,X0: nat > type_Mirabelle_typ] :
( ( type_M1690910139scheme @ X0 @ ( type_M876316792e_FVar @ X1 ) )
= ( type_M1006385707scheme @ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_app__subst__type__scheme_Osimps_I1_J) ).
thf(f15,axiom,
! [X0: type_Mirabelle_typ] :
( ( type_M1050318637scheme @ ( type_M1006385707scheme @ X0 ) )
= ( type_M49385309le_typ @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_free__tv__mk__scheme) ).
thf(f16,axiom,
! [X0: nat] :
( ( type_M1050318637scheme @ ( type_M876316792e_FVar @ X0 ) )
= ( insert_nat @ X0 @ bot_bot_set_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_free__tv__type__scheme_Osimps_I1_J) ).
thf(f36,axiom,
! [X1: type_Mirabelle_typ,X0: type_Mirabelle_typ] :
( ( ( type_M1006385707scheme @ X0 )
= ( type_M1006385707scheme @ X1 ) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_mk__scheme__injective) ).
thf(f91,axiom,
! [X1: nat,X0: nat] :
( ( member_nat @ X0 @ ( insert_nat @ X1 @ bot_bot_set_nat ) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_singletonD) ).
thf(f106,axiom,
! [X0: nat,X1: nat] :
( ( X0 = X1 )
= ( ( type_Mirabelle_TVar @ X0 )
= ( type_Mirabelle_TVar @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_105_typ_Oinject_I1_J) ).
thf(f113,axiom,
! [X1: nat,X0: nat > type_Mirabelle_typ] :
( ( type_M784671311le_typ @ X0 @ ( type_Mirabelle_TVar @ X1 ) )
= ( X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_112_app__subst__TVar) ).
thf(f220,axiom,
! [X0: nat] :
( ( type_M1006385707scheme @ ( type_Mirabelle_TVar @ X0 ) )
= ( type_M876316792e_FVar @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_mk__scheme_Osimps_I1_J) ).
thf(f228,axiom,
type_M405566558_subst = type_Mirabelle_TVar,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_227_id__subst__def) ).
thf(f262,axiom,
( ( ^ [X0: set_nat,X1: set_nat] :
( collect_nat
@ ^ [X2: nat] :
( ( member_nat @ X2 @ X0 )
| ( member_nat @ X2 @ X1 ) ) ) )
= sup_sup_set_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_261_Un__def) ).
thf(f271,axiom,
( insert_nat
= ( ^ [X0: nat] :
( sup_sup_set_nat
@ ( collect_nat
@ ^ [X1: nat] : ( X1 = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_270_insert__def) ).
thf(f295,axiom,
! [X0: set_nat] :
( ( sup_sup_set_nat @ X0 @ bot_bot_set_nat )
= X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_294_sup__bot__right) ).
thf(f360,conjecture,
( ( ( s1 @ n )
= ( s2 @ n ) )
| ( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
!= ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) )
| ~ ( member_nat @ n @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ x ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f361,negated_conjecture,
~ ( ( ( s1 @ n )
= ( s2 @ n ) )
| ( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
!= ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) )
| ~ ( member_nat @ n @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ x ) ) ) ),
inference(negated_conjecture,[status(cth)],[f360]) ).
thf(f452,plain,
( ( !! @ type_Mirabelle_typ
@ ^ [Y0: type_Mirabelle_typ] :
( ( type_M1050318637scheme @ ( type_M1006385707scheme @ Y0 ) )
= ( type_M49385309le_typ @ Y0 ) ) )
= $true ),
inference(fool_elimination,[],[f15]) ).
thf(f526,plain,
! [X0: nat,X1: nat > type_Mirabelle_typ] :
( ( X1 @ X0 )
= ( type_M784671311le_typ @ X1 @ ( type_Mirabelle_TVar @ X0 ) ) ),
inference(rectify,[],[f113]) ).
thf(f527,plain,
( $true
= ( !! @ ( nat > type_Mirabelle_typ )
@ ^ [Y0: nat > type_Mirabelle_typ] :
( !! @ nat
@ ^ [Y1: nat] :
( ( Y0 @ Y1 )
= ( type_M784671311le_typ @ Y0 @ ( type_Mirabelle_TVar @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f526]) ).
thf(f543,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( ( type_M1050318637scheme @ ( type_M876316792e_FVar @ Y0 ) )
= ( insert_nat @ Y0 @ bot_bot_set_nat ) ) )
= $true ),
inference(fool_elimination,[],[f16]) ).
thf(f571,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( Y1 = Y0 )
= ( ( type_Mirabelle_TVar @ Y1 )
= ( type_Mirabelle_TVar @ Y0 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f106]) ).
thf(f584,plain,
( ( !! @ set_nat
@ ^ [Y0: set_nat] :
( ( sup_sup_set_nat @ Y0 @ bot_bot_set_nat )
= Y0 ) )
= $true ),
inference(fool_elimination,[],[f295]) ).
thf(f591,plain,
! [X0: nat,X1: nat > type_Mirabelle_typ] :
( ( type_M1690910139scheme @ X1 @ ( type_M876316792e_FVar @ X0 ) )
= ( type_M1006385707scheme @ ( X1 @ X0 ) ) ),
inference(rectify,[],[f4]) ).
thf(f592,plain,
( ( !! @ ( nat > type_Mirabelle_typ )
@ ^ [Y0: nat > type_Mirabelle_typ] :
( !! @ nat
@ ^ [Y1: nat] :
( ( type_M1690910139scheme @ Y0 @ ( type_M876316792e_FVar @ Y1 ) )
= ( type_M1006385707scheme @ ( Y0 @ Y1 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f591]) ).
thf(f636,plain,
( ( ^ [X0: set_nat,X1: set_nat] :
( collect_nat
@ ^ [X2: nat] :
( ( member_nat @ X2 @ X0 )
| ( member_nat @ X2 @ X1 ) ) ) )
= sup_sup_set_nat ),
inference(rectify,[],[f262]) ).
thf(f637,plain,
( sup_sup_set_nat
= ( ^ [Y0: set_nat,Y1: set_nat] :
( collect_nat
@ ^ [Y2: nat] :
( ( member_nat @ Y2 @ Y1 )
| ( member_nat @ Y2 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f636]) ).
thf(f649,plain,
! [X0: type_Mirabelle_typ,X1: type_Mirabelle_typ] :
( ( ( type_M1006385707scheme @ X0 )
= ( type_M1006385707scheme @ X1 ) )
=> ( X0 = X1 ) ),
inference(rectify,[],[f36]) ).
thf(f650,plain,
( ( !! @ type_Mirabelle_typ
@ ^ [Y0: type_Mirabelle_typ] :
( !! @ type_Mirabelle_typ
@ ^ [Y1: type_Mirabelle_typ] :
( ( ( type_M1006385707scheme @ Y1 )
= ( type_M1006385707scheme @ Y0 ) )
=> ( Y1 = Y0 ) ) ) )
= $true ),
inference(fool_elimination,[],[f649]) ).
thf(f691,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( ( type_M876316792e_FVar @ Y0 )
= ( type_M1006385707scheme @ ( type_Mirabelle_TVar @ Y0 ) ) ) )
= $true ),
inference(fool_elimination,[],[f220]) ).
thf(f766,plain,
~ ( ( ( s1 @ n )
= ( s2 @ n ) )
| ( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
!= ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) )
| ~ ( member_nat @ n @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ x ) ) ) ),
inference(rectify,[],[f361]) ).
thf(f767,plain,
( $true
= ( ~ ( ~ ( member_nat @ n @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ x ) ) )
| ( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
!= ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) )
| ( ( s1 @ n )
= ( s2 @ n ) ) ) ) ),
inference(fool_elimination,[],[f766]) ).
thf(f818,plain,
type_Mirabelle_TVar = type_M405566558_subst,
inference(fool_elimination,[],[f228]) ).
thf(f920,plain,
( insert_nat
= ( ^ [X0: nat] :
( sup_sup_set_nat
@ ( collect_nat
@ ^ [X1: nat] : ( X1 = X0 ) ) ) ) ),
inference(rectify,[],[f271]) ).
thf(f921,plain,
( insert_nat
= ( ^ [Y0: nat] :
( sup_sup_set_nat
@ ( collect_nat
@ ^ [Y1: nat] : ( Y0 = Y1 ) ) ) ) ),
inference(fool_elimination,[],[f920]) ).
thf(f1011,plain,
! [X0: nat,X1: nat] :
( ( member_nat @ X1 @ ( insert_nat @ X0 @ bot_bot_set_nat ) )
=> ( X0 = X1 ) ),
inference(rectify,[],[f91]) ).
thf(f1012,plain,
( $true
= ( !! @ nat
@ ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( member_nat @ Y0 @ ( insert_nat @ Y1 @ bot_bot_set_nat ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(fool_elimination,[],[f1011]) ).
thf(f1016,plain,
( $true
= ( !! @ nat
@ ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( member_nat @ Y0 @ ( insert_nat @ Y1 @ bot_bot_set_nat ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f1012]) ).
thf(f1033,plain,
( sup_sup_set_nat
= ( ^ [Y0: set_nat,Y1: set_nat] :
( collect_nat
@ ^ [Y2: nat] :
( ( member_nat @ Y2 @ Y1 )
| ( member_nat @ Y2 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f637]) ).
thf(f1108,plain,
( insert_nat
= ( ^ [Y0: nat] :
( sup_sup_set_nat
@ ( collect_nat
@ ^ [Y1: nat] : ( Y0 = Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f921]) ).
thf(f1151,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( ( type_M876316792e_FVar @ Y0 )
= ( type_M1006385707scheme @ ( type_Mirabelle_TVar @ Y0 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f691]) ).
thf(f1170,plain,
type_Mirabelle_TVar = type_M405566558_subst,
inference(cnf_transformation,[],[f818]) ).
thf(f1181,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( ( type_M1050318637scheme @ ( type_M876316792e_FVar @ Y0 ) )
= ( insert_nat @ Y0 @ bot_bot_set_nat ) ) )
= $true ),
inference(cnf_transformation,[],[f543]) ).
thf(f1207,plain,
( ( !! @ ( nat > type_Mirabelle_typ )
@ ^ [Y0: nat > type_Mirabelle_typ] :
( !! @ nat
@ ^ [Y1: nat] :
( ( type_M1690910139scheme @ Y0 @ ( type_M876316792e_FVar @ Y1 ) )
= ( type_M1006385707scheme @ ( Y0 @ Y1 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f592]) ).
thf(f1267,plain,
( $true
= ( ~ ( ~ ( member_nat @ n @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ x ) ) )
| ( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
!= ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) )
| ( ( s1 @ n )
= ( s2 @ n ) ) ) ) ),
inference(cnf_transformation,[],[f767]) ).
thf(f1281,plain,
( $true
= ( !! @ ( nat > type_Mirabelle_typ )
@ ^ [Y0: nat > type_Mirabelle_typ] :
( !! @ nat
@ ^ [Y1: nat] :
( ( Y0 @ Y1 )
= ( type_M784671311le_typ @ Y0 @ ( type_Mirabelle_TVar @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f527]) ).
thf(f1360,plain,
( ( !! @ type_Mirabelle_typ
@ ^ [Y0: type_Mirabelle_typ] :
( !! @ type_Mirabelle_typ
@ ^ [Y1: type_Mirabelle_typ] :
( ( ( type_M1006385707scheme @ Y1 )
= ( type_M1006385707scheme @ Y0 ) )
=> ( Y1 = Y0 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f650]) ).
thf(f1367,plain,
( ( !! @ set_nat
@ ^ [Y0: set_nat] :
( ( sup_sup_set_nat @ Y0 @ bot_bot_set_nat )
= Y0 ) )
= $true ),
inference(cnf_transformation,[],[f584]) ).
thf(f1368,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( Y1 = Y0 )
= ( ( type_Mirabelle_TVar @ Y1 )
= ( type_Mirabelle_TVar @ Y0 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f571]) ).
thf(f1370,plain,
( ( !! @ type_Mirabelle_typ
@ ^ [Y0: type_Mirabelle_typ] :
( ( type_M1050318637scheme @ ( type_M1006385707scheme @ Y0 ) )
= ( type_M49385309le_typ @ Y0 ) ) )
= $true ),
inference(cnf_transformation,[],[f452]) ).
thf(f1376,plain,
( insert_nat
= ( ^ [Y0: nat] :
( ^ [Y1: set_nat,Y2: set_nat] :
( collect_nat
@ ^ [Y3: nat] :
( ( member_nat @ Y3 @ Y2 )
| ( member_nat @ Y3 @ Y1 ) ) )
@ ( collect_nat
@ ^ [Y1: nat] : ( Y0 = Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f1108,f1033]) ).
thf(f1389,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( member_nat @ Y0
@ ( ^ [Y2: nat] :
( ^ [Y3: set_nat,Y4: set_nat] :
( collect_nat
@ ^ [Y5: nat] :
( ( member_nat @ Y5 @ Y4 )
| ( member_nat @ Y5 @ Y3 ) ) )
@ ( collect_nat
@ ^ [Y3: nat] : ( Y2 = Y3 ) ) )
@ Y1
@ bot_bot_set_nat ) )
=> ( Y1 = Y0 ) ) ) )
= $true ),
inference(definition_unfolding,[],[f1016,f1376]) ).
thf(f1490,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( ( type_M876316792e_FVar @ Y0 )
= ( type_M1006385707scheme @ ( type_M405566558_subst @ Y0 ) ) ) )
= $true ),
inference(definition_unfolding,[],[f1151,f1170]) ).
thf(f1513,plain,
( $true
= ( !! @ nat
@ ^ [Y0: nat] :
( ( type_M1050318637scheme @ ( type_M876316792e_FVar @ Y0 ) )
= ( ^ [Y1: nat] :
( ^ [Y2: set_nat,Y3: set_nat] :
( collect_nat
@ ^ [Y4: nat] :
( ( member_nat @ Y4 @ Y3 )
| ( member_nat @ Y4 @ Y2 ) ) )
@ ( collect_nat
@ ^ [Y2: nat] : ( Y1 = Y2 ) ) )
@ Y0
@ bot_bot_set_nat ) ) ) ),
inference(definition_unfolding,[],[f1181,f1376]) ).
thf(f1583,plain,
( ( !! @ ( nat > type_Mirabelle_typ )
@ ^ [Y0: nat > type_Mirabelle_typ] :
( !! @ nat
@ ^ [Y1: nat] :
( ( Y0 @ Y1 )
= ( type_M784671311le_typ @ Y0 @ ( type_M405566558_subst @ Y1 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f1281,f1170]) ).
thf(f1648,plain,
( $true
= ( !! @ set_nat
@ ^ [Y0: set_nat] :
( ( ^ [Y1: set_nat,Y2: set_nat] :
( collect_nat
@ ^ [Y3: nat] :
( ( member_nat @ Y3 @ Y2 )
| ( member_nat @ Y3 @ Y1 ) ) )
@ Y0
@ bot_bot_set_nat )
= Y0 ) ) ),
inference(definition_unfolding,[],[f1367,f1033]) ).
thf(f1649,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( Y1 = Y0 )
= ( ( type_M405566558_subst @ Y1 )
= ( type_M405566558_subst @ Y0 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f1368,f1170,f1170]) ).
thf(f1720,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( ( type_M1050318637scheme @ ( type_M876316792e_FVar @ Y0 ) )
= ( collect_nat
@ ^ [Y1: nat] :
( ( member_nat @ Y1 @ bot_bot_set_nat )
| ( member_nat @ Y1 @ ( collect_nat @ ( (=) @ Y0 ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1513]) ).
thf(f1744,plain,
( ( !! @ set_nat
@ ^ [Y0: set_nat] :
( ( collect_nat
@ ^ [Y1: nat] :
( ( member_nat @ Y1 @ bot_bot_set_nat )
| ( member_nat @ Y1 @ Y0 ) ) )
= Y0 ) )
= $true ),
inference(beta-eta_normalization,[],[f1648]) ).
thf(f1870,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( member_nat @ Y0
@ ( collect_nat
@ ^ [Y2: nat] :
( ( member_nat @ Y2 @ bot_bot_set_nat )
| ( member_nat @ Y2 @ ( collect_nat @ ( (=) @ Y1 ) ) ) ) ) )
=> ( Y1 = Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1389]) ).
thf(f1941,plain,
( $false
= ( ~ ( member_nat @ n @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ x ) ) )
| ( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
!= ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) )
| ( ( s1 @ n )
= ( s2 @ n ) ) ) ),
inference(not_proxy_clausification,[],[f1267]) ).
thf(f1942,plain,
( ( ( s1 @ n )
= ( s2 @ n ) )
= $false ),
inference(or_proxy_clausification,[],[f1941]) ).
thf(f1943,plain,
( $false
= ( ~ ( member_nat @ n @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ x ) ) )
| ( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
!= ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) ) ) ),
inference(or_proxy_clausification,[],[f1941]) ).
thf(f1944,plain,
( $false
= ( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
!= ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) ) ),
inference(or_proxy_clausification,[],[f1943]) ).
thf(f1945,plain,
( ( ~ ( member_nat @ n @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ x ) ) ) )
= $false ),
inference(or_proxy_clausification,[],[f1943]) ).
thf(f1946,plain,
( ( s1 @ n )
!= ( s2 @ n ) ),
inference(equality_proxy_clausification,[],[f1942]) ).
thf(f1947,plain,
( ( member_nat @ n @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ x ) ) )
= $true ),
inference(not_proxy_clausification,[],[f1945]) ).
thf(f1948,plain,
( ( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
= ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) )
= $true ),
inference(not_proxy_clausification,[],[f1944]) ).
thf(f1949,plain,
( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
= ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) ),
inference(equality_proxy_clausification,[],[f1948]) ).
thf(f2013,plain,
! [X1: type_Mirabelle_typ] :
( ( ^ [Y0: type_Mirabelle_typ] :
( ( type_M1050318637scheme @ ( type_M1006385707scheme @ Y0 ) )
= ( type_M49385309le_typ @ Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f1370]) ).
thf(f2014,plain,
! [X1: type_Mirabelle_typ] :
( ( ( type_M1050318637scheme @ ( type_M1006385707scheme @ X1 ) )
= ( type_M49385309le_typ @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f2013]) ).
thf(f2015,plain,
! [X1: type_Mirabelle_typ] :
( ( type_M49385309le_typ @ X1 )
= ( type_M1050318637scheme @ ( type_M1006385707scheme @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f2014]) ).
thf(f2016,plain,
! [X1: nat] :
( ( ^ [Y0: nat] :
( ( type_M876316792e_FVar @ Y0 )
= ( type_M1006385707scheme @ ( type_M405566558_subst @ Y0 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f1490]) ).
thf(f2017,plain,
! [X1: nat] :
( ( ( type_M876316792e_FVar @ X1 )
= ( type_M1006385707scheme @ ( type_M405566558_subst @ X1 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f2016]) ).
thf(f2018,plain,
! [X1: nat] :
( ( type_M876316792e_FVar @ X1 )
= ( type_M1006385707scheme @ ( type_M405566558_subst @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f2017]) ).
thf(f2019,plain,
! [X0: nat] :
( ( type_M1050318637scheme @ ( type_M876316792e_FVar @ X0 ) )
= ( type_M49385309le_typ @ ( type_M405566558_subst @ X0 ) ) ),
inference(superposition,[],[f2015,f2018]) ).
thf(f2024,plain,
( ( member_nat @ n @ ( type_M49385309le_typ @ ( type_M405566558_subst @ x ) ) )
= $true ),
inference(superposition,[],[f1947,f2019]) ).
thf(f2195,plain,
! [X1: type_Mirabelle_typ] :
( ( ^ [Y0: type_Mirabelle_typ] :
( !! @ type_Mirabelle_typ
@ ^ [Y1: type_Mirabelle_typ] :
( ( ( type_M1006385707scheme @ Y1 )
= ( type_M1006385707scheme @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f1360]) ).
thf(f2196,plain,
! [X1: type_Mirabelle_typ] :
( ( !! @ type_Mirabelle_typ
@ ^ [Y0: type_Mirabelle_typ] :
( ( ( type_M1006385707scheme @ Y0 )
= ( type_M1006385707scheme @ X1 ) )
=> ( Y0 = X1 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f2195]) ).
thf(f2197,plain,
! [X2: type_Mirabelle_typ,X1: type_Mirabelle_typ] :
( ( ^ [Y0: type_Mirabelle_typ] :
( ( ( type_M1006385707scheme @ Y0 )
= ( type_M1006385707scheme @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f2196]) ).
thf(f2198,plain,
! [X2: type_Mirabelle_typ,X1: type_Mirabelle_typ] :
( ( ( ( type_M1006385707scheme @ X2 )
= ( type_M1006385707scheme @ X1 ) )
=> ( X2 = X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f2197]) ).
thf(f2199,plain,
! [X2: type_Mirabelle_typ,X1: type_Mirabelle_typ] :
( ( $false
= ( ( type_M1006385707scheme @ X2 )
= ( type_M1006385707scheme @ X1 ) ) )
| ( ( X2 = X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f2198]) ).
thf(f2200,plain,
! [X2: type_Mirabelle_typ,X1: type_Mirabelle_typ] :
( ( ( type_M1006385707scheme @ X1 )
!= ( type_M1006385707scheme @ X2 ) )
| ( ( X2 = X1 )
= $true ) ),
inference(equality_proxy_clausification,[],[f2199]) ).
thf(f2201,plain,
! [X2: type_Mirabelle_typ,X1: type_Mirabelle_typ] :
( ( ( type_M1006385707scheme @ X1 )
!= ( type_M1006385707scheme @ X2 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f2200]) ).
thf(f2205,plain,
! [X1: set_nat] :
( ( ^ [Y0: set_nat] :
( ( collect_nat
@ ^ [Y1: nat] :
( ( member_nat @ Y1 @ bot_bot_set_nat )
| ( member_nat @ Y1 @ Y0 ) ) )
= Y0 )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f1744]) ).
thf(f2206,plain,
! [X1: set_nat] :
( ( ( collect_nat
@ ^ [Y0: nat] :
( ( member_nat @ Y0 @ bot_bot_set_nat )
| ( member_nat @ Y0 @ X1 ) ) )
= X1 )
= $true ),
inference(beta-eta_normalization,[],[f2205]) ).
thf(f2207,plain,
! [X1: set_nat] :
( ( collect_nat
@ ^ [Y0: nat] :
( ( member_nat @ Y0 @ bot_bot_set_nat )
| ( member_nat @ Y0 @ X1 ) ) )
= X1 ),
inference(equality_proxy_clausification,[],[f2206]) ).
thf(f2279,plain,
! [X1: nat > type_Mirabelle_typ] :
( ( ^ [Y0: nat > type_Mirabelle_typ] :
( !! @ nat
@ ^ [Y1: nat] :
( ( Y0 @ Y1 )
= ( type_M784671311le_typ @ Y0 @ ( type_M405566558_subst @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f1583]) ).
thf(f2280,plain,
! [X1: nat > type_Mirabelle_typ] :
( ( !! @ nat
@ ^ [Y0: nat] :
( ( X1 @ Y0 )
= ( type_M784671311le_typ @ X1 @ ( type_M405566558_subst @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f2279]) ).
thf(f2293,plain,
! [X2: nat,X1: nat > type_Mirabelle_typ] :
( ( ^ [Y0: nat] :
( ( X1 @ Y0 )
= ( type_M784671311le_typ @ X1 @ ( type_M405566558_subst @ Y0 ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f2280]) ).
thf(f2294,plain,
! [X2: nat,X1: nat > type_Mirabelle_typ] :
( ( ( X1 @ X2 )
= ( type_M784671311le_typ @ X1 @ ( type_M405566558_subst @ X2 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f2293]) ).
thf(f2295,plain,
! [X2: nat,X1: nat > type_Mirabelle_typ] :
( ( type_M784671311le_typ @ X1 @ ( type_M405566558_subst @ X2 ) )
= ( X1 @ X2 ) ),
inference(equality_proxy_clausification,[],[f2294]) ).
thf(f2301,plain,
! [X1: nat] :
( $true
= ( ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( Y1 = Y0 )
= ( ( type_M405566558_subst @ Y1 )
= ( type_M405566558_subst @ Y0 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f1649]) ).
thf(f2302,plain,
! [X1: nat] :
( ( !! @ nat
@ ^ [Y0: nat] :
( ( Y0 = X1 )
= ( ( type_M405566558_subst @ Y0 )
= ( type_M405566558_subst @ X1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f2301]) ).
thf(f2303,plain,
! [X2: nat,X1: nat] :
( ( ^ [Y0: nat] :
( ( Y0 = X1 )
= ( ( type_M405566558_subst @ Y0 )
= ( type_M405566558_subst @ X1 ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f2302]) ).
thf(f2304,plain,
! [X2: nat,X1: nat] :
( ( ( X2 = X1 )
= ( ( type_M405566558_subst @ X2 )
= ( type_M405566558_subst @ X1 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f2303]) ).
thf(f2305,plain,
! [X2: nat,X1: nat] :
( ( X2 = X1 )
= ( ( type_M405566558_subst @ X2 )
= ( type_M405566558_subst @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f2304]) ).
thf(f2307,plain,
! [X2: nat,X1: nat] :
( ( ( X2 = X1 )
= $false )
| ( ( ( type_M405566558_subst @ X2 )
= ( type_M405566558_subst @ X1 ) )
= $true ) ),
inference(iff_proxy_clausification,[],[f2305]) ).
thf(f2308,plain,
! [X2: nat,X1: nat] :
( ( ( ( type_M405566558_subst @ X2 )
= ( type_M405566558_subst @ X1 ) )
= $true )
| ( X1 != X2 ) ),
inference(equality_proxy_clausification,[],[f2307]) ).
thf(f2310,plain,
! [X2: nat,X1: nat] :
( ( ( type_M405566558_subst @ X1 )
= ( type_M405566558_subst @ X2 ) )
| ( X1 != X2 ) ),
inference(equality_proxy_clausification,[],[f2308]) ).
thf(f2320,plain,
! [X2: nat,X0: nat,X1: nat > type_Mirabelle_typ] :
( ( ( X1 @ X2 )
= ( type_M784671311le_typ @ X1 @ ( type_M405566558_subst @ X0 ) ) )
| ( X0 != X2 ) ),
inference(superposition,[],[f2295,f2310]) ).
thf(f2325,plain,
! [X2: nat,X0: nat,X1: nat > type_Mirabelle_typ] :
( ( ( X1 @ X0 )
= ( X1 @ X2 ) )
| ( X0 != X2 ) ),
inference(forward_demodulation,[],[f2320,f2295]) ).
thf(f2357,plain,
! [X0: nat] :
( ( ( s1 @ n )
!= ( s2 @ X0 ) )
| ( n != X0 ) ),
inference(superposition,[],[f1946,f2325]) ).
thf(f2381,plain,
! [X1: nat > type_Mirabelle_typ] :
( ( ^ [Y0: nat > type_Mirabelle_typ] :
( !! @ nat
@ ^ [Y1: nat] :
( ( type_M1690910139scheme @ Y0 @ ( type_M876316792e_FVar @ Y1 ) )
= ( type_M1006385707scheme @ ( Y0 @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f1207]) ).
thf(f2382,plain,
! [X1: nat > type_Mirabelle_typ] :
( ( !! @ nat
@ ^ [Y0: nat] :
( ( type_M1690910139scheme @ X1 @ ( type_M876316792e_FVar @ Y0 ) )
= ( type_M1006385707scheme @ ( X1 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f2381]) ).
thf(f2383,plain,
! [X2: nat,X1: nat > type_Mirabelle_typ] :
( ( ^ [Y0: nat] :
( ( type_M1690910139scheme @ X1 @ ( type_M876316792e_FVar @ Y0 ) )
= ( type_M1006385707scheme @ ( X1 @ Y0 ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f2382]) ).
thf(f2384,plain,
! [X2: nat,X1: nat > type_Mirabelle_typ] :
( ( ( type_M1690910139scheme @ X1 @ ( type_M876316792e_FVar @ X2 ) )
= ( type_M1006385707scheme @ ( X1 @ X2 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f2383]) ).
thf(f2385,plain,
! [X2: nat,X1: nat > type_Mirabelle_typ] :
( ( type_M1690910139scheme @ X1 @ ( type_M876316792e_FVar @ X2 ) )
= ( type_M1006385707scheme @ ( X1 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f2384]) ).
thf(f2393,plain,
( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
= ( type_M1006385707scheme @ ( s2 @ x ) ) ),
inference(superposition,[],[f1949,f2385]) ).
thf(f2395,plain,
( ( type_M1006385707scheme @ ( s1 @ x ) )
= ( type_M1006385707scheme @ ( s2 @ x ) ) ),
inference(forward_demodulation,[],[f2393,f2385]) ).
thf(f2403,plain,
! [X0: type_Mirabelle_typ] :
( ( ( type_M1006385707scheme @ X0 )
!= ( type_M1006385707scheme @ ( s1 @ x ) ) )
| ( ( s2 @ x )
= X0 ) ),
inference(superposition,[],[f2201,f2395]) ).
thf(f2433,plain,
( ( s2 @ x )
= ( s1 @ x ) ),
inference(equality_resolution,[],[f2403]) ).
thf(f2442,plain,
( ( x != n )
| ( ( s1 @ n )
!= ( s1 @ x ) ) ),
inference(superposition,[],[f2357,f2433]) ).
thf(f2445,plain,
x != n,
inference(forward_subsumption_resolution,[],[f2442,f2325]) ).
thf(f2551,plain,
! [X1: nat] :
( ( ^ [Y0: nat] :
( ( type_M1050318637scheme @ ( type_M876316792e_FVar @ Y0 ) )
= ( collect_nat
@ ^ [Y1: nat] :
( ( member_nat @ Y1 @ bot_bot_set_nat )
| ( member_nat @ Y1 @ ( collect_nat @ ( (=) @ Y0 ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f1720]) ).
thf(f2552,plain,
! [X1: nat] :
( ( ( type_M1050318637scheme @ ( type_M876316792e_FVar @ X1 ) )
= ( collect_nat
@ ^ [Y0: nat] :
( ( member_nat @ Y0 @ bot_bot_set_nat )
| ( member_nat @ Y0 @ ( collect_nat @ ( (=) @ X1 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f2551]) ).
thf(f2553,plain,
! [X1: nat] :
( ( ( type_M49385309le_typ @ ( type_M405566558_subst @ X1 ) )
= ( collect_nat
@ ^ [Y0: nat] :
( ( member_nat @ Y0 @ bot_bot_set_nat )
| ( member_nat @ Y0 @ ( collect_nat @ ( (=) @ X1 ) ) ) ) ) )
= $true ),
inference(forward_demodulation,[],[f2552,f2019]) ).
thf(f2554,plain,
! [X1: nat] :
( ( ( type_M49385309le_typ @ ( type_M405566558_subst @ X1 ) )
= ( collect_nat @ ( (=) @ X1 ) ) )
= $true ),
inference(forward_demodulation,[],[f2553,f2207]) ).
thf(f2555,plain,
! [X1: nat] :
( ( type_M49385309le_typ @ ( type_M405566558_subst @ X1 ) )
= ( collect_nat @ ( (=) @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f2554]) ).
thf(f3045,plain,
! [X1: nat] :
( ( ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( member_nat @ Y0
@ ( collect_nat
@ ^ [Y2: nat] :
( ( member_nat @ Y2 @ bot_bot_set_nat )
| ( member_nat @ Y2 @ ( collect_nat @ ( (=) @ Y1 ) ) ) ) ) )
=> ( Y1 = Y0 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f1870]) ).
thf(f3046,plain,
! [X1: nat] :
( ( !! @ nat
@ ^ [Y0: nat] :
( ( member_nat @ X1
@ ( collect_nat
@ ^ [Y1: nat] :
( ( member_nat @ Y1 @ bot_bot_set_nat )
| ( member_nat @ Y1 @ ( collect_nat @ ( (=) @ Y0 ) ) ) ) ) )
=> ( Y0 = X1 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f3045]) ).
thf(f3052,plain,
! [X2: nat,X1: nat] :
( $true
= ( ^ [Y0: nat] :
( ( member_nat @ X1
@ ( collect_nat
@ ^ [Y1: nat] :
( ( member_nat @ Y1 @ bot_bot_set_nat )
| ( member_nat @ Y1 @ ( collect_nat @ ( (=) @ Y0 ) ) ) ) ) )
=> ( Y0 = X1 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f3046]) ).
thf(f3053,plain,
! [X2: nat,X1: nat] :
( ( ( member_nat @ X1
@ ( collect_nat
@ ^ [Y0: nat] :
( ( member_nat @ Y0 @ bot_bot_set_nat )
| ( member_nat @ Y0 @ ( collect_nat @ ( (=) @ X2 ) ) ) ) ) )
=> ( X2 = X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f3052]) ).
thf(f3054,plain,
! [X2: nat,X1: nat] :
( ( ( member_nat @ X1 @ ( collect_nat @ ( (=) @ X2 ) ) )
=> ( X2 = X1 ) )
= $true ),
inference(forward_demodulation,[],[f3053,f2207]) ).
thf(f3055,plain,
! [X2: nat,X1: nat] :
( ( ( member_nat @ X1 @ ( type_M49385309le_typ @ ( type_M405566558_subst @ X2 ) ) )
=> ( X2 = X1 ) )
= $true ),
inference(forward_demodulation,[],[f3054,f2555]) ).
thf(f3056,plain,
! [X2: nat,X1: nat] :
( ( ( member_nat @ X1 @ ( type_M49385309le_typ @ ( type_M405566558_subst @ X2 ) ) )
= $false )
| ( ( X2 = X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f3055]) ).
thf(f3057,plain,
! [X2: nat,X1: nat] :
( ( ( member_nat @ X1 @ ( type_M49385309le_typ @ ( type_M405566558_subst @ X2 ) ) )
= $false )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f3056]) ).
thf(f3066,plain,
( ( $false = $true )
| ( x = n ) ),
inference(superposition,[],[f2024,f3057]) ).
thf(f3071,plain,
x = n,
inference(trivial_inequality_removal,[],[f3066]) ).
thf(f3076,plain,
$false,
inference(forward_subsumption_resolution,[],[f3071,f2445]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP197^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n015.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 20:13:49 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running higher-order theorem proving
% 0.10/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.43 % (4058812)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.69/0.43 % (4058820)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=1763454493: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)
% 0.69/0.43 % (4058817)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1068422292:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.69/0.43 % (4058818)lrs+10_16_si=on:nwc=1.5:random_seed=1668877550:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.69/0.43 % (4058819)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3662920528:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.69/0.43 % (4058821)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1137428089:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.69/0.43 % (4058819)Instruction limit reached!
% 0.69/0.43 % (4058819)------------------------------
% 0.69/0.43 % (4058819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (4058819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (4058819)CaDiCaL version: 2.1.3
% 0.69/0.43 % (4058819)Termination reason: Instruction limit
% 0.69/0.43 % (4058819)Termination phase: shuffling
% 0.69/0.43 % (4058819)Time elapsed: 0.003 s
% 0.69/0.43 % (4058819)Peak memory usage: 10 MB
% 0.69/0.43 % (4058819)Instructions burned: 5 (million)
% 0.69/0.43 % (4058818)Instruction limit reached!
% 0.69/0.43 % (4058818)------------------------------
% 0.69/0.43 % (4058818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (4058818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (4058818)CaDiCaL version: 2.1.3
% 0.69/0.43 % (4058818)Termination reason: Instruction limit
% 0.69/0.43 % (4058818)Termination phase: shuffling
% 0.69/0.43 % (4058818)Time elapsed: 0.008 s
% 0.69/0.43 % (4058818)Peak memory usage: 10 MB
% 0.69/0.43 % (4058818)Instructions burned: 18 (million)
% 0.69/0.43 % (4058821)Instruction limit reached!
% 0.69/0.43 % (4058821)------------------------------
% 0.69/0.43 % (4058821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (4058821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (4058821)CaDiCaL version: 2.1.3
% 0.69/0.43 % (4058821)Termination reason: Instruction limit
% 0.69/0.43 % (4058821)Termination phase: Property scanning
% 0.69/0.43 % (4058821)Time elapsed: 0.011 s
% 0.69/0.43 % (4058821)Peak memory usage: 10 MB
% 0.69/0.43 % (4058821)Instructions burned: 25 (million)
% 0.69/0.43 % (4058823)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.69/0.43 % (4058823)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
% 0.69/0.43 % (4058822)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3441931612:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.69/0.43 % (4058823)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=3083727843:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.69/0.43 % (4058829)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1201273194:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.69/0.43 % (4058829)Instruction limit reached!
% 0.69/0.43 % (4058829)------------------------------
% 0.69/0.43 % (4058829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (4058829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (4058829)CaDiCaL version: 2.1.3
% 0.69/0.43 % (4058829)Termination reason: Instruction limit
% 0.69/0.43 % (4058829)Termination phase: shuffling
% 0.69/0.43 % (4058829)Time elapsed: 0.002 s
% 0.69/0.43 % (4058829)Peak memory usage: 10 MB
% 0.69/0.43 % (4058829)Instructions burned: 4 (million)
% 0.69/0.43 % (4058830)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=839084390:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.69/0.46 % (4058830)Instruction limit reached!
% 0.69/0.46 % (4058830)------------------------------
% 0.69/0.46 % (4058830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.46 % (4058830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.46 % (4058830)CaDiCaL version: 2.1.3
% 0.69/0.46 % (4058830)Termination reason: Instruction limit
% 0.69/0.46 % (4058830)Termination phase: shuffling
% 0.69/0.46 % (4058830)Time elapsed: 0.003 s
% 0.69/0.46 % (4058830)Peak memory usage: 10 MB
% 0.69/0.46 % (4058830)Instructions burned: 6 (million)
% 0.69/0.46 % (4058831)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.69/0.46 % (4058817)Instruction limit reached!
% 0.69/0.46 % (4058817)------------------------------
% 0.69/0.46 % (4058817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.46 % (4058817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.46 % (4058817)CaDiCaL version: 2.1.3
% 0.69/0.46 % (4058817)Termination reason: Instruction limit
% 0.69/0.46 % (4058817)Termination phase: Function definition elimination
% 0.69/0.46 % (4058817)Time elapsed: 0.040 s
% 0.69/0.46 % (4058817)Peak memory usage: 12 MB
% 0.69/0.46 % (4058817)Instructions burned: 87 (million)
% 0.69/0.46 % (4058831)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=655711803:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.69/0.46 % (4058835)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3720719004:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.69/0.46 % (4058837)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
% 0.69/0.46 % (4058837)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.69/0.46 % (4058831)Instruction limit reached!
% 0.69/0.46 % (4058831)------------------------------
% 0.69/0.46 % (4058831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.46 % (4058831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.46 % (4058837)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1059403157:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.69/0.46 % (4058831)CaDiCaL version: 2.1.3
% 0.69/0.46 % (4058831)Termination reason: Instruction limit
% 0.69/0.46 % (4058831)Termination phase: shuffling
% 0.69/0.46 % (4058831)Time elapsed: 0.007 s
% 0.69/0.46 % (4058831)Peak memory usage: 10 MB
% 0.69/0.46 % (4058831)Instructions burned: 7 (million)
% 0.69/0.46 % (4058835)Instruction limit reached!
% 0.69/0.46 % (4058835)------------------------------
% 0.69/0.46 % (4058835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.46 % (4058835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.46 % (4058835)CaDiCaL version: 2.1.3
% 0.69/0.46 % (4058835)Termination reason: Instruction limit
% 0.69/0.46 % (4058835)Termination phase: shuffling
% 0.69/0.46 % (4058835)Time elapsed: 0.006 s
% 0.69/0.46 % (4058835)Peak memory usage: 10 MB
% 0.69/0.46 % (4058835)Instructions burned: 13 (million)
% 0.69/0.46 % (4058822)Instruction limit reached!
% 0.69/0.46 % (4058822)------------------------------
% 0.69/0.46 % (4058822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.46 % (4058822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.46 % (4058822)CaDiCaL version: 2.1.3
% 0.69/0.46 % (4058822)Termination reason: Instruction limit
% 0.69/0.46 % (4058822)Termination phase: Property scanning
% 0.69/0.46 % (4058822)Time elapsed: 0.035 s
% 0.69/0.46 % (4058822)Peak memory usage: 12 MB
% 0.69/0.46 % (4058822)Instructions burned: 76 (million)
% 0.69/0.46 % (4058838)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=3397929793:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.69/0.46 % (4058837)Instruction limit reached!
% 0.69/0.46 % (4058837)------------------------------
% 0.69/0.46 % (4058837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.51 % (4058837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.51 % (4058837)CaDiCaL version: 2.1.3
% 1.54/0.51 % (4058837)Termination reason: Instruction limit
% 1.54/0.51 % (4058837)Termination phase: shuffling
% 1.54/0.51 % (4058837)Time elapsed: 0.013 s
% 1.54/0.51 % (4058837)Peak memory usage: 10 MB
% 1.54/0.51 % (4058837)Instructions burned: 30 (million)
% 1.54/0.51 % (4058844)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3856639320:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.54/0.51 % (4058843)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.54/0.51 % (4058846)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3357019990:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.54/0.51 % (4058842)lrs+10_1_si=on:cs=on:random_seed=1770039293:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.54/0.51 % (4058843)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=259682141:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.54/0.51 % (4058844)Instruction limit reached!
% 1.54/0.51 % (4058844)------------------------------
% 1.54/0.51 % (4058844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.51 % (4058844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.51 % (4058844)CaDiCaL version: 2.1.3
% 1.54/0.51 % (4058844)Termination reason: Instruction limit
% 1.54/0.51 % (4058844)Termination phase: SInE selection
% 1.54/0.51 % (4058844)Time elapsed: 0.018 s
% 1.54/0.51 % (4058844)Peak memory usage: 11 MB
% 1.54/0.51 % (4058844)Instructions burned: 40 (million)
% 1.54/0.51 % (4058843)Instruction limit reached!
% 1.54/0.51 % (4058843)------------------------------
% 1.54/0.51 % (4058843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.51 % (4058843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.51 % (4058843)CaDiCaL version: 2.1.3
% 1.54/0.51 % (4058843)Termination reason: Instruction limit
% 1.54/0.51 % (4058843)Termination phase: shuffling
% 1.54/0.51 % (4058843)Time elapsed: 0.005 s
% 1.54/0.51 % (4058843)Peak memory usage: 10 MB
% 1.54/0.51 % (4058843)Instructions burned: 2 (million)
% 1.54/0.51 % (4058842)Instruction limit reached!
% 1.54/0.51 % (4058842)------------------------------
% 1.54/0.51 % (4058842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.51 % (4058842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.51 % (4058842)CaDiCaL version: 2.1.3
% 1.54/0.51 % (4058842)Termination reason: Instruction limit
% 1.54/0.51 % (4058842)Termination phase: shuffling
% 1.54/0.51 % (4058842)Time elapsed: 0.008 s
% 1.54/0.51 % (4058842)Peak memory usage: 10 MB
% 1.54/0.51 % (4058842)Instructions burned: 9 (million)
% 1.54/0.51 % (4058838)Instruction limit reached!
% 1.54/0.51 % (4058838)------------------------------
% 1.54/0.51 % (4058838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.51 % (4058838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.51 % (4058838)CaDiCaL version: 2.1.3
% 1.54/0.51 % (4058838)Termination reason: Instruction limit
% 1.54/0.51 % (4058838)Termination phase: Property scanning
% 1.54/0.51 % (4058838)Time elapsed: 0.037 s
% 1.54/0.51 % (4058838)Peak memory usage: 11 MB
% 1.54/0.51 % (4058838)Instructions burned: 88 (million)
% 1.54/0.51 % (4058851)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1522623622:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.54/0.51 % (4058852)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2034032427:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.54/0.51 % (4058853)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1842315244:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.54/0.51 % (4058854)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2994801948:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.54/0.51 % (4058852)Instruction limit reached!
% 1.54/0.51 % (4058852)------------------------------
% 1.54/0.55 % (4058852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.55 % (4058852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.55 % (4058852)CaDiCaL version: 2.1.3
% 1.54/0.55 % (4058852)Termination reason: Instruction limit
% 1.54/0.55 % (4058852)Termination phase: shuffling
% 1.54/0.55 % (4058852)Time elapsed: 0.007 s
% 1.54/0.55 % (4058852)Peak memory usage: 10 MB
% 1.54/0.55 % (4058852)Instructions burned: 14 (million)
% 1.54/0.55 % (4058851)Instruction limit reached!
% 1.54/0.55 % (4058851)------------------------------
% 1.54/0.55 % (4058851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.55 % (4058851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.55 % (4058851)CaDiCaL version: 2.1.3
% 1.54/0.55 % (4058851)Termination reason: Instruction limit
% 1.54/0.55 % (4058851)Termination phase: Property scanning
% 1.54/0.55 % (4058851)Time elapsed: 0.012 s
% 1.54/0.55 % (4058851)Peak memory usage: 10 MB
% 1.54/0.55 % (4058851)Instructions burned: 26 (million)
% 1.54/0.55 % (4058854)Instruction limit reached!
% 1.54/0.55 % (4058854)------------------------------
% 1.54/0.55 % (4058854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.55 % (4058854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.55 % (4058854)CaDiCaL version: 2.1.3
% 1.54/0.55 % (4058854)Termination reason: Instruction limit
% 1.54/0.55 % (4058854)Termination phase: shuffling
% 1.54/0.55 % (4058854)Time elapsed: 0.008 s
% 1.54/0.55 % (4058854)Peak memory usage: 10 MB
% 1.54/0.55 % (4058854)Instructions burned: 16 (million)
% 1.54/0.55 % (4058823)Instruction limit reached!
% 1.54/0.55 % (4058823)------------------------------
% 1.54/0.55 % (4058823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.55 % (4058823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.55 % (4058823)CaDiCaL version: 2.1.3
% 1.54/0.55 % (4058823)Termination reason: Instruction limit
% 1.54/0.55 % (4058823)Termination phase: Saturation
% 1.54/0.55 % (4058823)Time elapsed: 0.116 s
% 1.54/0.55 % (4058823)Peak memory usage: 12 MB
% 1.54/0.55 % (4058823)Instructions burned: 158 (million)
% 1.54/0.55 % (4058860)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2711823730:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.54/0.55 % (4058861)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2391483022:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.54/0.55 % (4058859)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=751041331: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)
% 1.54/0.55 % (4058861)Instruction limit reached!
% 1.54/0.55 % (4058861)------------------------------
% 1.54/0.55 % (4058861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.55 % (4058861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.55 % (4058861)CaDiCaL version: 2.1.3
% 1.54/0.55 % (4058861)Termination reason: Instruction limit
% 1.54/0.55 % (4058861)Termination phase: Property scanning
% 1.54/0.55 % (4058861)Time elapsed: 0.011 s
% 1.54/0.55 % (4058861)Peak memory usage: 10 MB
% 1.54/0.55 % (4058861)Instructions burned: 24 (million)
% 1.54/0.55 % (4058860)Instruction limit reached!
% 1.54/0.55 % (4058860)------------------------------
% 1.54/0.55 % (4058860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.55 % (4058860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.55 % (4058860)CaDiCaL version: 2.1.3
% 1.54/0.55 % (4058860)Termination reason: Instruction limit
% 1.54/0.55 % (4058860)Termination phase: shuffling
% 1.54/0.55 % (4058860)Time elapsed: 0.012 s
% 1.54/0.55 % (4058860)Peak memory usage: 10 MB
% 1.54/0.55 % (4058860)Instructions burned: 27 (million)
% 1.54/0.55 % (4058859)Instruction limit reached!
% 1.54/0.55 % (4058859)------------------------------
% 1.54/0.55 % (4058859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.55 % (4058859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.55 % (4058859)CaDiCaL version: 2.1.3
% 1.54/0.55 % (4058859)Termination reason: Instruction limit
% 1.54/0.55 % (4058859)Termination phase: shuffling
% 1.54/0.55 % (4058859)Time elapsed: 0.003 s
% 1.54/0.55 % (4058859)Peak memory usage: 10 MB
% 2.26/0.63 % (4058859)Instructions burned: 2 (million)
% 2.26/0.63 % (4058862)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2235756317:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.26/0.63 % (4058820)Instruction limit reached!
% 2.26/0.63 % (4058820)------------------------------
% 2.26/0.63 % (4058820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.63 % (4058820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.63 % (4058820)CaDiCaL version: 2.1.3
% 2.26/0.63 % (4058820)Termination reason: Instruction limit
% 2.26/0.63 % (4058820)Termination phase: Saturation
% 2.26/0.63 % (4058820)Time elapsed: 0.174 s
% 2.26/0.63 % (4058820)Peak memory usage: 17 MB
% 2.26/0.63 % (4058820)Instructions burned: 637 (million)
% 2.26/0.63 % (4058866)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.26/0.63 % (4058866)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.26/0.63 % (4058867)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.26/0.63 % (4058866)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=933289324:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.26/0.63 % (4058867)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=1172762855:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.26/0.63 % (4058869)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=1045842199:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.26/0.63 % (4058867)Instruction limit reached!
% 2.26/0.63 % (4058867)------------------------------
% 2.26/0.63 % (4058867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.63 % (4058867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.63 % (4058867)CaDiCaL version: 2.1.3
% 2.26/0.63 % (4058867)Termination reason: Instruction limit
% 2.26/0.63 % (4058867)Termination phase: shuffling
% 2.26/0.63 % (4058867)Time elapsed: 0.005 s
% 2.26/0.63 % (4058867)Peak memory usage: 10 MB
% 2.26/0.63 % (4058867)Instructions burned: 10 (million)
% 2.26/0.63 % (4058866)Instruction limit reached!
% 2.26/0.63 % (4058866)------------------------------
% 2.26/0.63 % (4058866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.63 % (4058866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.63 % (4058866)CaDiCaL version: 2.1.3
% 2.26/0.63 % (4058866)Termination reason: Instruction limit
% 2.26/0.63 % (4058866)Termination phase: shuffling
% 2.26/0.63 % (4058866)Time elapsed: 0.007 s
% 2.26/0.63 % (4058866)Peak memory usage: 10 MB
% 2.26/0.63 % (4058866)Instructions burned: 16 (million)
% 2.26/0.63 % (4058862)Instruction limit reached!
% 2.26/0.63 % (4058862)------------------------------
% 2.26/0.63 % (4058862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.63 % (4058862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.63 % (4058862)CaDiCaL version: 2.1.3
% 2.26/0.63 % (4058862)Termination reason: Instruction limit
% 2.26/0.63 % (4058862)Termination phase: Property scanning
% 2.26/0.63 % (4058862)Time elapsed: 0.027 s
% 2.26/0.63 % (4058862)Peak memory usage: 12 MB
% 2.26/0.63 % (4058862)Instructions burned: 60 (million)
% 2.26/0.63 % (4058869)Instruction limit reached!
% 2.26/0.63 % (4058869)------------------------------
% 2.26/0.63 % (4058869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.63 % (4058869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.63 % (4058869)CaDiCaL version: 2.1.3
% 2.26/0.63 % (4058869)Termination reason: Instruction limit
% 2.26/0.63 % (4058869)Termination phase: shuffling
% 2.26/0.63 % (4058869)Time elapsed: 0.009 s
% 2.26/0.63 % (4058869)Peak memory usage: 10 MB
% 2.26/0.63 % (4058869)Instructions burned: 41 (million)
% 2.26/0.63 % (4058876)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=141263136:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.26/0.64 % (4058874)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3085905812:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.26/0.64 % (4058875)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3201952558:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.26/0.64 % (4058870)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3613186278:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.26/0.64 % (4058846)Instruction limit reached!
% 2.26/0.64 % (4058846)------------------------------
% 2.26/0.64 % (4058846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.64 % (4058846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.64 % (4058846)CaDiCaL version: 2.1.3
% 2.26/0.64 % (4058846)Termination reason: Instruction limit
% 2.26/0.64 % (4058846)Termination phase: Saturation
% 2.26/0.64 % (4058846)Time elapsed: 0.119 s
% 2.26/0.64 % (4058846)Peak memory usage: 14 MB
% 2.26/0.64 % (4058846)Instructions burned: 249 (million)
% 2.26/0.64 % (4058877)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3480923445:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.26/0.64 % (4058870)Instruction limit reached!
% 2.26/0.64 % (4058870)------------------------------
% 2.26/0.64 % (4058870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.64 % (4058870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.64 % (4058870)CaDiCaL version: 2.1.3
% 2.26/0.64 % (4058870)Termination reason: Instruction limit
% 2.26/0.64 % (4058870)Termination phase: shuffling
% 2.26/0.64 % (4058870)Time elapsed: 0.007 s
% 2.26/0.64 % (4058870)Peak memory usage: 10 MB
% 2.26/0.64 % (4058870)Instructions burned: 7 (million)
% 2.26/0.64 % (4058875)Instruction limit reached!
% 2.26/0.64 % (4058875)------------------------------
% 2.26/0.64 % (4058875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.64 % (4058875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.64 % (4058875)CaDiCaL version: 2.1.3
% 2.26/0.64 % (4058875)Termination reason: Instruction limit
% 2.26/0.64 % (4058875)Termination phase: shuffling
% 2.26/0.64 % (4058875)Time elapsed: 0.009 s
% 2.26/0.64 % (4058875)Peak memory usage: 10 MB
% 2.26/0.64 % (4058875)Instructions burned: 20 (million)
% 2.26/0.64 % (4058874)Instruction limit reached!
% 2.26/0.64 % (4058874)------------------------------
% 2.26/0.64 % (4058874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.64 % (4058874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.64 % (4058874)CaDiCaL version: 2.1.3
% 2.26/0.64 % (4058874)Termination reason: Instruction limit
% 2.26/0.64 % (4058874)Termination phase: shuffling
% 2.26/0.64 % (4058874)Time elapsed: 0.010 s
% 2.26/0.64 % (4058874)Peak memory usage: 10 MB
% 2.26/0.64 % (4058874)Instructions burned: 23 (million)
% 2.26/0.64 % (4058883)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1747494462:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.26/0.64 % (4058885)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.26/0.64 % (4058884)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4029417031:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.26/0.64 % (4058885)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1448793512:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.26/0.64 % (4058886)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=154503476:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.26/0.64 % (4058885)Instruction limit reached!
% 2.26/0.64 % (4058885)------------------------------
% 2.26/0.64 % (4058885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.64 % (4058885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.64 % (4058885)CaDiCaL version: 2.1.3
% 2.26/0.64 % (4058885)Termination reason: Instruction limit
% 2.26/0.64 % (4058885)Termination phase: shuffling
% 2.26/0.64 % (4058885)Time elapsed: 0.004 s
% 2.26/0.64 % (4058885)Peak memory usage: 10 MB
% 2.26/0.64 % (4058885)Instructions burned: 9 (million)
% 2.26/0.64 % (4058884)Instruction limit reached!
% 2.26/0.64 % (4058884)------------------------------
% 2.26/0.64 % (4058884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.64 % (4058884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.64 % (4058884)CaDiCaL version: 2.1.3
% 2.26/0.64 % (4058884)Termination reason: Instruction limit
% 2.26/0.64 % (4058884)Termination phase: Preprocessing 3
% 2.26/0.64 % (4058884)Time elapsed: 0.023 s
% 2.26/0.64 % (4058884)Peak memory usage: 11 MB
% 2.26/0.64 % (4058884)Instructions burned: 44 (million)
% 2.26/0.64 % (4058891)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=2751307802: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)
% 2.26/0.64 % (4058877)Instruction limit reached!
% 2.26/0.64 % (4058877)------------------------------
% 2.26/0.64 % (4058877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.64 % (4058877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.64 % (4058877)CaDiCaL version: 2.1.3
% 2.26/0.64 % (4058877)Termination reason: Instruction limit
% 2.26/0.64 % (4058877)Termination phase: Property scanning
% 2.26/0.64 % (4058877)Time elapsed: 0.061 s
% 2.26/0.64 % (4058877)Peak memory usage: 12 MB
% 2.26/0.64 % (4058877)Instructions burned: 144 (million)
% 2.26/0.64 % (4058892)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.26/0.64 % (4058894)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3588905013:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.26/0.64 % (4058892)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2185450710:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.26/0.64 % (4058894)Instruction limit reached!
% 2.26/0.64 % (4058894)------------------------------
% 2.26/0.64 % (4058894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.64 % (4058894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.64 % (4058894)CaDiCaL version: 2.1.3
% 2.26/0.64 % (4058894)Termination reason: Instruction limit
% 2.26/0.64 % (4058894)Termination phase: Property scanning
% 2.26/0.64 % (4058894)Time elapsed: 0.011 s
% 2.26/0.64 % (4058894)Peak memory usage: 10 MB
% 2.26/0.64 % (4058894)Instructions burned: 24 (million)
% 2.26/0.64 % (4058892)Instruction limit reached!
% 2.26/0.64 % (4058892)------------------------------
% 2.26/0.64 % (4058892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.64 % (4058892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.64 % (4058892)CaDiCaL version: 2.1.3
% 2.26/0.64 % (4058892)Termination reason: Instruction limit
% 2.26/0.64 % (4058892)Termination phase: shuffling
% 2.26/0.64 % (4058892)Time elapsed: 0.007 s
% 2.26/0.64 % (4058892)Peak memory usage: 10 MB
% 2.26/0.64 % (4058892)Instructions burned: 7 (million)
% 2.26/0.64 % (4058883)Instruction limit reached!
% 2.26/0.64 % (4058883)------------------------------
% 2.26/0.64 % (4058883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.64 % (4058883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.64 % (4058883)CaDiCaL version: 2.1.3
% 2.26/0.64 % (4058883)Termination reason: Instruction limit
% 2.26/0.64 % (4058883)Termination phase: Saturation
% 2.26/0.64 % (4058883)Time elapsed: 0.088 s
% 2.26/0.64 % (4058883)Peak memory usage: 14 MB
% 2.26/0.64 % (4058883)Instructions burned: 194 (million)
% 2.26/0.64 % (4058886)Instruction limit reached!
% 2.26/0.64 % (4058886)------------------------------
% 2.26/0.64 % (4058886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.64 % (4058886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.64 % (4058886)CaDiCaL version: 2.1.3
% 2.26/0.64 % (4058886)Termination reason: Instruction limit
% 2.26/0.64 % (4058886)Termination phase: Saturation
% 2.26/0.64 % (4058886)Time elapsed: 0.087 s
% 2.26/0.64 % (4058886)Peak memory usage: 13 MB
% 2.26/0.64 % (4058886)Instructions burned: 182 (million)
% 2.26/0.64 % (4058876) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4058812-4058876"...
% 2.26/0.64 % (4058897)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3782207404:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.26/0.64 % (4058876)...printing done.
% 2.26/0.64 % (4058876)Refutation found. Thanks to Tanya!
% 2.26/0.64 % SZS status Theorem for theBenchmark
% 2.26/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.65 % (4058876)------------------------------
% 2.26/0.65 % (4058876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.65 % (4058876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.65 % (4058876)CaDiCaL version: 2.1.3
% 2.26/0.65 % (4058876)Termination reason: Refutation
% 2.26/0.65 % (4058876)Time elapsed: 0.133 s
% 2.26/0.65 % (4058876)Peak memory usage: 16 MB
% 2.26/0.65 % (4058876)Instructions burned: 535 (million)
% 2.26/0.65 % (4058812)Success in time 0.379 s
% 2.26/0.65 % Vampire exiting
%------------------------------------------------------------------------------