%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP055^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 08:10:31 AM UTC 2026
% Result : Theorem 0.21s 0.37s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 70 ( 20 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 118 ( 9 ~; 4 |; 0 &; 102 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 15 ( 14 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 516 ( 513 usr; 16 con; 0-5 aty)
% Number of variables : 10 ( 10 ^; 0 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
list_l1584713811t_unit: $tType ).
thf(type_def_6,type,
list_l611321411t_unit: $tType ).
thf(type_def_7,type,
list_c1059388851t_unit: $tType ).
thf(type_def_8,type,
config256849571t_unit: $tType ).
thf(type_def_9,type,
list_l1341496881ge_p_v: $tType ).
thf(type_def_10,type,
list_l1619404459ge_p_v: $tType ).
thf(type_def_11,type,
list_message_p_v: $tType ).
thf(type_def_12,type,
message_p_v: $tType ).
thf(type_def_13,type,
messageValue_v: $tType ).
thf(type_def_14,type,
set_nat: $tType ).
thf(type_def_15,type,
nat: $tType ).
thf(type_def_16,type,
int: $tType ).
thf(type_def_17,type,
s: $tType ).
thf(type_def_18,type,
p: $tType ).
thf(type_def_19,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
fLPThe9398366_p_s_v: ( p > s > messageValue_v > s ) > ( p > s > messageValue_v > message_p_v > nat ) > ( p > s ) > $o ).
thf(func_def_1,type,
fLPThe1519354920_p_v_s: config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > list_c1059388851t_unit ).
thf(func_def_2,type,
fLPThe536531371_p_v_s: config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > list_message_p_v ).
thf(func_def_3,type,
one_one_int: int ).
thf(func_def_4,type,
one_one_nat: nat ).
thf(func_def_5,type,
uminus_uminus_int: int > int ).
thf(func_def_6,type,
zero_zero_int: int ).
thf(func_def_7,type,
zero_zero_nat: nat ).
thf(func_def_8,type,
nat2: int > nat ).
thf(func_def_9,type,
ring_1_of_int_int: int > int ).
thf(func_def_10,type,
prefix1615116500t_unit: list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_11,type,
prefix47729710ge_p_v: list_message_p_v > list_message_p_v > $o ).
thf(func_def_12,type,
prefix747844452t_unit: list_l611321411t_unit > list_l611321411t_unit > $o ).
thf(func_def_13,type,
prefix1465223476ge_p_v: list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ).
thf(func_def_14,type,
gen_le193291088t_unit: nat > list_c1059388851t_unit > nat ).
thf(func_def_15,type,
gen_le697204914ge_p_v: nat > list_message_p_v > nat ).
thf(func_def_16,type,
insert1308755079t_unit: config256849571t_unit > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_17,type,
insert_message_p_v: message_p_v > list_message_p_v > list_message_p_v ).
thf(func_def_18,type,
cons_c1162654829t_unit: config256849571t_unit > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_19,type,
cons_message_p_v: message_p_v > list_message_p_v > list_message_p_v ).
thf(func_def_20,type,
cons_l1083444861t_unit: list_c1059388851t_unit > list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_21,type,
cons_l233104475ge_p_v: list_message_p_v > list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_22,type,
cons_l1777019405t_unit: list_l611321411t_unit > list_l1584713811t_unit > list_l1584713811t_unit ).
thf(func_def_23,type,
cons_l1383421281ge_p_v: list_l1619404459ge_p_v > list_l1341496881ge_p_v > list_l1341496881ge_p_v ).
thf(func_def_24,type,
nil_co1338500125t_unit: list_c1059388851t_unit ).
thf(func_def_25,type,
nil_message_p_v: list_message_p_v ).
thf(func_def_26,type,
nil_li307996205t_unit: list_l611321411t_unit ).
thf(func_def_27,type,
nil_list_message_p_v: list_l1619404459ge_p_v ).
thf(func_def_28,type,
nil_li2108369341t_unit: list_l1584713811t_unit ).
thf(func_def_29,type,
nil_li835338673ge_p_v: list_l1341496881ge_p_v ).
thf(func_def_30,type,
list_e1598815642t_unit: ( config256849571t_unit > $o ) > list_c1059388851t_unit > $o ).
thf(func_def_31,type,
list_ex1_message_p_v: ( message_p_v > $o ) > list_message_p_v > $o ).
thf(func_def_32,type,
n_list1987762709t_unit: nat > list_c1059388851t_unit > list_l611321411t_unit ).
thf(func_def_33,type,
n_lists_message_p_v: nat > list_message_p_v > list_l1619404459ge_p_v ).
thf(func_def_34,type,
nths_c890550943t_unit: list_c1059388851t_unit > set_nat > list_c1059388851t_unit ).
thf(func_def_35,type,
nths_message_p_v: list_message_p_v > set_nat > list_message_p_v ).
thf(func_def_36,type,
produc663212148t_unit: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_37,type,
produc1505827982ge_p_v: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_38,type,
subseq1144048270t_unit: list_c1059388851t_unit > list_l611321411t_unit ).
thf(func_def_39,type,
subseqs_message_p_v: list_message_p_v > list_l1619404459ge_p_v ).
thf(func_def_40,type,
suc: nat > nat ).
thf(func_def_41,type,
semiri2019852685at_int: nat > int ).
thf(func_def_42,type,
semiri1382578993at_nat: nat > nat ).
thf(func_def_43,type,
size_s1406904903t_unit: list_c1059388851t_unit > nat ).
thf(func_def_44,type,
size_s1168481041ge_p_v: list_message_p_v > nat ).
thf(func_def_45,type,
size_s503142615t_unit: list_l611321411t_unit > nat ).
thf(func_def_46,type,
size_s1809856791ge_p_v: list_l1619404459ge_p_v > nat ).
thf(func_def_47,type,
ord_less_int: int > int > $o ).
thf(func_def_48,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_49,type,
ord_less_eq_int: int > int > $o ).
thf(func_def_50,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_51,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_52,type,
member_nat: nat > set_nat > $o ).
thf(func_def_53,type,
cfg: config256849571t_unit ).
thf(func_def_54,type,
fe: nat > list_c1059388851t_unit ).
thf(func_def_55,type,
m: nat ).
thf(func_def_56,type,
n: nat ).
thf(func_def_57,type,
na: nat ).
thf(func_def_61,type,
vOR: $o > $o > $o ).
thf(func_def_62,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_63,type,
vAND: $o > $o > $o ).
thf(func_def_64,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_65,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_66,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_67,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_68,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_69,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_70,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_71,type,
vNOT: $o > $o ).
thf(func_def_72,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_73,type,
vIMP: $o > $o > $o ).
thf(func_def_74,type,
sP0: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > $o ).
thf(func_def_75,type,
sP1: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > $o ).
thf(func_def_76,type,
sK2: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).
thf(func_def_77,type,
sK3: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(func_def_78,type,
sK4: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_79,type,
sK5: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > nat ).
thf(func_def_80,type,
sK6: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).
thf(func_def_81,type,
sK7: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(func_def_82,type,
sK8: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_83,type,
sK9: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > nat ).
thf(func_def_84,type,
sK10: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).
thf(func_def_85,type,
sK11: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(func_def_86,type,
sK12: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_87,type,
sK13: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).
thf(func_def_88,type,
sK14: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(func_def_89,type,
sK15: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_90,type,
sK16: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).
thf(func_def_91,type,
sK17: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(func_def_92,type,
sK18: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_93,type,
sK19: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > nat ).
thf(func_def_94,type,
sK20: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).
thf(func_def_95,type,
sK21: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(func_def_96,type,
sK22: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_97,type,
sK23: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > nat ).
thf(func_def_98,type,
sK24: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).
thf(func_def_99,type,
sK25: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(func_def_100,type,
sK26: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_101,type,
sK27: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).
thf(func_def_102,type,
sK28: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(func_def_103,type,
sK29: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_104,type,
sK30: list_l611321411t_unit > list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_105,type,
sK31: list_l611321411t_unit > list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_106,type,
sK32: list_l611321411t_unit > list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_107,type,
sK33: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_108,type,
sK34: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_109,type,
sK35: list_l1619404459ge_p_v > list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_110,type,
sK36: list_l1619404459ge_p_v > list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_111,type,
sK37: list_l1619404459ge_p_v > list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_112,type,
sK38: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_113,type,
sK39: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_114,type,
sK40: list_message_p_v > list_message_p_v > list_message_p_v ).
thf(func_def_115,type,
sK41: list_message_p_v > list_message_p_v > list_message_p_v ).
thf(func_def_116,type,
sK42: list_message_p_v > list_message_p_v > message_p_v ).
thf(func_def_117,type,
sK43: list_message_p_v > message_p_v ).
thf(func_def_118,type,
sK44: list_message_p_v > list_message_p_v ).
thf(func_def_119,type,
sK45: list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_120,type,
sK46: list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_121,type,
sK47: list_c1059388851t_unit > list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_122,type,
sK48: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_123,type,
sK49: list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_124,type,
sK50: ( list_l611321411t_unit > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_125,type,
sK51: ( list_l611321411t_unit > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_126,type,
sK52: ( list_l611321411t_unit > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_127,type,
sK53: ( list_l611321411t_unit > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_128,type,
sK54: ( list_l611321411t_unit > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_129,type,
sK55: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_130,type,
sK56: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_131,type,
sK57: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_132,type,
sK58: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_133,type,
sK59: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_134,type,
sK60: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_135,type,
sK61: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_136,type,
sK62: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_137,type,
sK63: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_138,type,
sK64: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_139,type,
sK65: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_140,type,
sK66: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_141,type,
sK67: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_142,type,
sK68: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_143,type,
sK69: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_144,type,
sK70: ( nat > $o ) > nat > nat ).
thf(func_def_145,type,
sK71: ( nat > $o ) > nat ).
thf(func_def_146,type,
sK72: ( nat > $o ) > nat ).
thf(func_def_147,type,
sK73: nat > list_message_p_v ).
thf(func_def_148,type,
sK74: nat > list_c1059388851t_unit ).
thf(func_def_149,type,
sK75: nat > nat ).
thf(func_def_150,type,
sK76: ( nat > $o ) > nat ).
thf(func_def_151,type,
sK77: nat > nat ).
thf(func_def_152,type,
sK78: ( nat > $o ) > nat ).
thf(func_def_153,type,
sK79: ( nat > nat > $o ) > nat ).
thf(func_def_154,type,
sK80: ( nat > nat > $o ) > nat ).
thf(func_def_155,type,
sK81: ( nat > nat > $o ) > nat ).
thf(func_def_156,type,
sK82: ( nat > nat > $o ) > nat ).
thf(func_def_157,type,
sK83: ( nat > $o ) > nat ).
thf(func_def_158,type,
sK84: ( nat > $o ) > nat ).
thf(func_def_159,type,
sK85: ( nat > $o ) > nat > nat ).
thf(func_def_160,type,
sK86: ( nat > $o ) > nat > nat ).
thf(func_def_161,type,
sK87: ( nat > nat > $o ) > nat ).
thf(func_def_162,type,
sK88: ( nat > nat > $o ) > nat ).
thf(func_def_163,type,
sK89: ( nat > nat > $o ) > nat ).
thf(func_def_164,type,
sK90: ( nat > nat > $o ) > nat ).
thf(func_def_165,type,
sK91: nat > nat > nat ).
thf(func_def_166,type,
sK92: nat > nat > nat ).
thf(func_def_167,type,
sK93: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v > config256849571t_unit ).
thf(func_def_168,type,
sK94: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_169,type,
sK95: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_170,type,
sK96: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_171,type,
sK97: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v > config256849571t_unit ).
thf(func_def_172,type,
sK98: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_173,type,
sK99: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit ).
thf(func_def_174,type,
sK100: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_175,type,
sK101: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_176,type,
sK102: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_177,type,
sK103: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit ).
thf(func_def_178,type,
sK104: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_179,type,
sK105: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > message_p_v > message_p_v ).
thf(func_def_180,type,
sK106: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_181,type,
sK107: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_182,type,
sK108: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_183,type,
sK109: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > message_p_v > message_p_v ).
thf(func_def_184,type,
sK110: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_185,type,
sK111: ( ( list_message_p_v > message_p_v ) > list_l1619404459ge_p_v > list_message_p_v > $o ) > list_message_p_v > message_p_v ).
thf(func_def_186,type,
sK112: ( ( list_message_p_v > message_p_v ) > list_l1619404459ge_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_187,type,
sK113: ( ( list_message_p_v > message_p_v ) > list_l1619404459ge_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_188,type,
sK114: ( ( list_message_p_v > message_p_v ) > list_l1619404459ge_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_189,type,
sK115: ( ( list_message_p_v > message_p_v ) > list_l1619404459ge_p_v > list_message_p_v > $o ) > list_message_p_v > message_p_v ).
thf(func_def_190,type,
sK116: ( ( list_message_p_v > message_p_v ) > list_l1619404459ge_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_191,type,
sK117: ( ( message_p_v > list_message_p_v ) > list_message_p_v > list_l1619404459ge_p_v > $o ) > message_p_v > list_message_p_v ).
thf(func_def_192,type,
sK118: ( ( message_p_v > list_message_p_v ) > list_message_p_v > list_l1619404459ge_p_v > $o ) > message_p_v ).
thf(func_def_193,type,
sK119: ( ( message_p_v > list_message_p_v ) > list_message_p_v > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_194,type,
sK120: ( ( message_p_v > list_message_p_v ) > list_message_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_195,type,
sK121: ( ( message_p_v > list_message_p_v ) > list_message_p_v > list_l1619404459ge_p_v > $o ) > message_p_v > list_message_p_v ).
thf(func_def_196,type,
sK122: ( ( message_p_v > list_message_p_v ) > list_message_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_197,type,
sK123: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit > message_p_v ).
thf(func_def_198,type,
sK124: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_199,type,
sK125: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_200,type,
sK126: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_201,type,
sK127: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit > message_p_v ).
thf(func_def_202,type,
sK128: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_203,type,
sK129: ( ( list_message_p_v > list_message_p_v ) > list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_message_p_v > list_message_p_v ).
thf(func_def_204,type,
sK130: ( ( list_message_p_v > list_message_p_v ) > list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_205,type,
sK131: ( ( list_message_p_v > list_message_p_v ) > list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_206,type,
sK132: ( ( list_message_p_v > list_message_p_v ) > list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_207,type,
sK133: ( ( list_message_p_v > list_message_p_v ) > list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_message_p_v > list_message_p_v ).
thf(func_def_208,type,
sK134: ( ( list_message_p_v > list_message_p_v ) > list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_209,type,
sK135: ( ( list_message_p_v > config256849571t_unit ) > list_l1619404459ge_p_v > list_c1059388851t_unit > $o ) > list_message_p_v > config256849571t_unit ).
thf(func_def_210,type,
sK136: ( ( list_message_p_v > config256849571t_unit ) > list_l1619404459ge_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_211,type,
sK137: ( ( list_message_p_v > config256849571t_unit ) > list_l1619404459ge_p_v > list_c1059388851t_unit > $o ) > list_l1619404459ge_p_v ).
thf(func_def_212,type,
sK138: ( ( list_message_p_v > config256849571t_unit ) > list_l1619404459ge_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_213,type,
sK139: ( ( list_message_p_v > config256849571t_unit ) > list_l1619404459ge_p_v > list_c1059388851t_unit > $o ) > list_message_p_v > config256849571t_unit ).
thf(func_def_214,type,
sK140: ( ( list_message_p_v > config256849571t_unit ) > list_l1619404459ge_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_215,type,
sK141: ( ( list_c1059388851t_unit > message_p_v ) > list_l611321411t_unit > list_message_p_v > $o ) > list_c1059388851t_unit > message_p_v ).
thf(func_def_216,type,
sK142: ( ( list_c1059388851t_unit > message_p_v ) > list_l611321411t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_217,type,
sK143: ( ( list_c1059388851t_unit > message_p_v ) > list_l611321411t_unit > list_message_p_v > $o ) > list_l611321411t_unit ).
thf(func_def_218,type,
sK144: ( ( list_c1059388851t_unit > message_p_v ) > list_l611321411t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_219,type,
sK145: ( ( list_c1059388851t_unit > message_p_v ) > list_l611321411t_unit > list_message_p_v > $o ) > list_c1059388851t_unit > message_p_v ).
thf(func_def_220,type,
sK146: ( ( list_c1059388851t_unit > message_p_v ) > list_l611321411t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_221,type,
sK147: ( ( message_p_v > list_c1059388851t_unit ) > list_message_p_v > list_l611321411t_unit > $o ) > message_p_v > list_c1059388851t_unit ).
thf(func_def_222,type,
sK148: ( ( message_p_v > list_c1059388851t_unit ) > list_message_p_v > list_l611321411t_unit > $o ) > message_p_v ).
thf(func_def_223,type,
sK149: ( ( message_p_v > list_c1059388851t_unit ) > list_message_p_v > list_l611321411t_unit > $o ) > list_message_p_v ).
thf(func_def_224,type,
sK150: ( ( message_p_v > list_c1059388851t_unit ) > list_message_p_v > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_225,type,
sK151: ( ( message_p_v > list_c1059388851t_unit ) > list_message_p_v > list_l611321411t_unit > $o ) > message_p_v > list_c1059388851t_unit ).
thf(func_def_226,type,
sK152: ( ( message_p_v > list_c1059388851t_unit ) > list_message_p_v > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_227,type,
sK153: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_228,type,
sK154: ( list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_229,type,
sK155: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_230,type,
sK156: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_231,type,
sK157: ( list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_232,type,
sK158: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_233,type,
sK159: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_234,type,
sK160: ( list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_235,type,
sK161: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_236,type,
sK162: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_237,type,
sK163: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_238,type,
sK164: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_239,type,
sK165: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_240,type,
sK166: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_241,type,
sK167: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_242,type,
sK168: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_243,type,
sK169: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_244,type,
sK170: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_245,type,
sK171: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_246,type,
sK172: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v > list_message_p_v > $o ).
thf(func_def_247,type,
sK173: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_248,type,
sK174: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_249,type,
sK175: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_250,type,
sK176: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v > list_message_p_v > $o ).
thf(func_def_251,type,
sK177: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_252,type,
sK178: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v > list_message_p_v > $o ).
thf(func_def_253,type,
sK179: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_254,type,
sK180: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v ).
thf(func_def_255,type,
sK181: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v ).
thf(func_def_256,type,
sK182: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_257,type,
sK183: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_258,type,
sK184: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v ).
thf(func_def_259,type,
sK185: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_260,type,
sK186: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_261,type,
sK187: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_262,type,
sK188: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_263,type,
sK189: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_264,type,
sK190: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_265,type,
sK191: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_266,type,
sK192: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_267,type,
sK193: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_268,type,
sK194: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_269,type,
sK195: ( list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_270,type,
sK196: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_271,type,
sK197: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_272,type,
sK198: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_273,type,
sK199: ( list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_274,type,
sK200: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_275,type,
sK201: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_276,type,
sK202: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_277,type,
sK203: ( list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_278,type,
sK204: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_279,type,
sK205: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_280,type,
sK206: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_281,type,
sK207: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_282,type,
sK208: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_283,type,
sK209: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_284,type,
sK210: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_285,type,
sK211: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_286,type,
sK212: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_287,type,
sK213: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v > list_message_p_v > $o ).
thf(func_def_288,type,
sK214: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_289,type,
sK215: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_290,type,
sK216: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v > list_message_p_v > $o ).
thf(func_def_291,type,
sK217: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_292,type,
sK218: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v ).
thf(func_def_293,type,
sK219: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_294,type,
sK220: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_295,type,
sK221: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_296,type,
sK222: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_297,type,
sK223: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_298,type,
sK224: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_299,type,
sK225: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_300,type,
sK226: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_301,type,
sK227: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_302,type,
sK228: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_303,type,
sK229: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_304,type,
sK230: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_305,type,
sK231: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_306,type,
sK232: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_307,type,
sK233: list_message_p_v > message_p_v ).
thf(func_def_308,type,
sK234: list_message_p_v > message_p_v ).
thf(func_def_309,type,
sK235: list_message_p_v > list_message_p_v ).
thf(func_def_310,type,
sK236: list_message_p_v > message_p_v ).
thf(func_def_311,type,
sK237: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_312,type,
sK238: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_313,type,
sK239: list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_314,type,
sK240: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_315,type,
sK241: list_l1584713811t_unit > list_c1059388851t_unit ).
thf(func_def_316,type,
sK242: list_l1584713811t_unit > list_l611321411t_unit ).
thf(func_def_317,type,
sK243: list_l1584713811t_unit > list_l1584713811t_unit ).
thf(func_def_318,type,
sK244: list_l1584713811t_unit > list_l1584713811t_unit ).
thf(func_def_319,type,
sK245: list_l1341496881ge_p_v > list_message_p_v ).
thf(func_def_320,type,
sK246: list_l1341496881ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_321,type,
sK247: list_l1341496881ge_p_v > list_l1341496881ge_p_v ).
thf(func_def_322,type,
sK248: list_l1341496881ge_p_v > list_l1341496881ge_p_v ).
thf(func_def_323,type,
sK249: list_l1619404459ge_p_v > message_p_v ).
thf(func_def_324,type,
sK250: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_325,type,
sK251: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_326,type,
sK252: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_327,type,
sK253: list_l611321411t_unit > config256849571t_unit ).
thf(func_def_328,type,
sK254: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_329,type,
sK255: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_330,type,
sK256: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_331,type,
sK257: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_332,type,
sK258: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_333,type,
sK259: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_334,type,
sK260: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_335,type,
sK261: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_336,type,
sK262: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_337,type,
sK263: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_338,type,
sK264: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_339,type,
sK265: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_340,type,
sK266: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_341,type,
sK267: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_342,type,
sK268: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_343,type,
sK269: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_344,type,
sK270: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_345,type,
sK271: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_346,type,
sK272: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_347,type,
sK273: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_348,type,
sK274: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_349,type,
sK275: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_350,type,
sK276: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_351,type,
sK277: ( list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_352,type,
sK278: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_353,type,
sK279: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_354,type,
sK280: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_355,type,
sK281: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_356,type,
sK282: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_357,type,
sK283: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_358,type,
sK284: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_359,type,
sK285: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_360,type,
sK286: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_361,type,
sK287: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_362,type,
sK288: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_363,type,
sK289: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_364,type,
sK290: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_365,type,
sK291: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_366,type,
sK292: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_367,type,
sK293: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_368,type,
sK294: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_369,type,
sK295: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_370,type,
sK296: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_371,type,
sK297: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_372,type,
sK298: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_373,type,
sK299: ( list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_374,type,
sK300: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_375,type,
sK301: ( list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_376,type,
sK302: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_377,type,
sK303: ( list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_378,type,
sK304: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_379,type,
sK305: ( list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_380,type,
sK306: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_381,type,
sK307: ( list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_382,type,
sK308: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_383,type,
sK309: ( list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_384,type,
sK310: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_385,type,
sK311: ( list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_386,type,
sK312: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_387,type,
sK313: ( list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_388,type,
sK314: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_389,type,
sK315: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_390,type,
sK316: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_391,type,
sK317: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_392,type,
sK318: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_393,type,
sK319: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_394,type,
sK320: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_395,type,
sK321: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_396,type,
sK322: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_397,type,
sK323: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_398,type,
sK324: ( list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_399,type,
sK325: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_400,type,
sK326: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_401,type,
sK327: list_message_p_v > message_p_v ).
thf(func_def_402,type,
sK328: list_message_p_v > list_message_p_v ).
thf(func_def_403,type,
sK329: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_404,type,
sK330: list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_405,type,
sK331: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_406,type,
sK332: ( nat > nat ) > nat ).
thf(func_def_407,type,
sK333: ( nat > int ) > nat ).
thf(func_def_408,type,
sK334: ( nat > nat ) > nat ).
thf(func_def_409,type,
sK335: ( nat > int ) > nat ).
thf(func_def_410,type,
sK336: nat > nat ).
thf(func_def_411,type,
sK337: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_412,type,
sK338: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_413,type,
sK339: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_414,type,
sK340: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_415,type,
sK341: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_416,type,
sK342: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_417,type,
sK343: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_418,type,
sK344: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_419,type,
sK345: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_420,type,
sK346: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_421,type,
sK347: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_422,type,
sK348: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_423,type,
sK349: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_424,type,
sK350: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_425,type,
sK351: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_426,type,
sK352: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_427,type,
sK353: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_428,type,
sK354: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_429,type,
sK355: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_430,type,
sK356: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_431,type,
sK357: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_432,type,
sK358: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_433,type,
sK359: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_434,type,
sK360: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_435,type,
sK361: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_436,type,
sK362: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_437,type,
sK363: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_438,type,
sK364: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_439,type,
sK365: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_440,type,
sK366: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_441,type,
sK367: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_442,type,
sK368: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_443,type,
sK369: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_444,type,
sK370: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_445,type,
sK371: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_446,type,
sK372: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_447,type,
sK373: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_448,type,
sK374: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_449,type,
sK375: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_450,type,
sK376: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_451,type,
sK377: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_452,type,
sK378: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_453,type,
sK379: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_454,type,
sK380: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_455,type,
sK381: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_456,type,
sK382: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_457,type,
sK383: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_458,type,
sK384: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_459,type,
sK385: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_460,type,
sK386: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_461,type,
sK387: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_462,type,
sK388: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_463,type,
sK389: ( list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_464,type,
sK390: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_465,type,
sK391: ( list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_466,type,
sK392: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_467,type,
sK393: ( list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_468,type,
sK394: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_469,type,
sK395: ( list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_470,type,
sK396: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_471,type,
sK397: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_472,type,
sK398: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_473,type,
sK399: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_474,type,
sK400: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_475,type,
sK401: list_c1059388851t_unit > nat > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > config256849571t_unit > nat ).
thf(func_def_476,type,
sK402: list_message_p_v > nat > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > config256849571t_unit > nat ).
thf(func_def_477,type,
sK403: list_c1059388851t_unit > nat > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > config256849571t_unit > nat ).
thf(func_def_478,type,
sK404: list_message_p_v > nat > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > config256849571t_unit > nat ).
thf(func_def_479,type,
sK405: set_nat > list_c1059388851t_unit > nat ).
thf(func_def_480,type,
sK406: int > nat ).
thf(func_def_481,type,
sK407: int > nat ).
thf(func_def_482,type,
sK408: int > nat ).
thf(func_def_483,type,
sK409: int > nat ).
thf(func_def_484,type,
sK410: int > nat ).
thf(func_def_485,type,
sK411: ( int > $o ) > nat ).
thf(func_def_486,type,
sK412: ( int > $o ) > nat ).
thf(func_def_487,type,
sK413: int > nat ).
thf(func_def_488,type,
sK414: int > nat ).
thf(func_def_489,type,
sK415: int > nat ).
thf(func_def_490,type,
sK416: int > nat ).
thf(func_def_491,type,
sK417: int > nat ).
thf(func_def_492,type,
sK418: ( nat > int ) > nat ).
thf(func_def_493,type,
sK419: ( nat > int ) > nat ).
thf(func_def_494,type,
sK420: int > ( nat > $o ) > nat ).
thf(func_def_495,type,
sK421: int > ( nat > $o ) > nat ).
thf(func_def_496,type,
sK422: list_c1059388851t_unit > nat > list_c1059388851t_unit ).
thf(func_def_497,type,
sK423: list_c1059388851t_unit > nat > config256849571t_unit ).
thf(func_def_498,type,
sK424: nat > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_499,type,
sK425: nat > list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_500,type,
sK426: ( nat > $o ) > nat > nat ).
thf(func_def_501,type,
sK427: ( nat > $o ) > nat > nat ).
thf(func_def_502,type,
sK428: nat > nat ).
thf(func_def_503,type,
sK429: ( nat > $o ) > nat > nat ).
thf(func_def_504,type,
sK430: ( nat > $o ) > nat > nat ).
thf(func_def_505,type,
sK431: nat > nat > nat ).
thf(func_def_506,type,
sK432: list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_507,type,
sK433: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_508,type,
sK434: list_message_p_v > list_message_p_v ).
thf(func_def_509,type,
sK435: list_message_p_v > message_p_v ).
thf(func_def_510,type,
sK436: ( nat > $o ) > nat > nat ).
thf(func_def_511,type,
sK437: ( nat > $o ) > nat > nat ).
thf(func_def_512,type,
sK438: ( nat > $o ) > nat > nat ).
thf(func_def_513,type,
sK439: ( nat > $o ) > nat > nat ).
thf(func_def_514,type,
sK440: nat > nat > nat ).
thf(f1,axiom,
ord_less_nat @ m @ na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062m_A_060_An_092_060close_062) ).
thf(f3,axiom,
( ( ord_less_nat @ m @ na )
=> ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_IA_I1_J) ).
thf(f260,axiom,
( ord_less_nat
= ( ^ [X0: nat,X1: nat] : ( ord_less_int @ ( semiri2019852685at_int @ X0 ) @ ( semiri2019852685at_int @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_259_nat__int__comparison_I2_J) ).
thf(f342,conjecture,
prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f343,negated_conjecture,
~ ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) ),
inference(negated_conjecture,[status(cth)],[f342]) ).
thf(f344,plain,
ord_less_nat @ m @ na,
inference(rectify,[],[f1]) ).
thf(f345,plain,
( ( ord_less_nat @ m @ na )
= $true ),
inference(fool_elimination,[],[f344]) ).
thf(f348,plain,
( ( ord_less_nat @ m @ na )
=> ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) ) ),
inference(rectify,[],[f3]) ).
thf(f349,plain,
( ( ( ord_less_nat @ m @ na )
= $true )
=> ( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
= $true ) ),
inference(fool_elimination,[],[f348]) ).
thf(f690,plain,
( ord_less_nat
= ( ^ [Y0: nat,Y1: nat] : ( ord_less_int @ ( semiri2019852685at_int @ Y0 ) @ ( semiri2019852685at_int @ Y1 ) ) ) ),
inference(fool_elimination,[],[f260]) ).
thf(f768,plain,
~ ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) ),
inference(rectify,[],[f343]) ).
thf(f769,plain,
( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
!= $true ),
inference(fool_elimination,[],[f768]) ).
thf(f813,plain,
( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
!= $true ),
inference(flattening,[],[f769]) ).
thf(f814,plain,
( ( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
= $true )
| ( ( ord_less_nat @ m @ na )
!= $true ) ),
inference(ennf_transformation,[],[f349]) ).
thf(f1247,plain,
( ( ord_less_nat @ m @ na )
= $true ),
inference(cnf_transformation,[],[f345]) ).
thf(f1249,plain,
( ( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
= $true )
| ( ( ord_less_nat @ m @ na )
!= $true ) ),
inference(cnf_transformation,[],[f814]) ).
thf(f1669,plain,
( ord_less_nat
= ( ^ [Y0: nat,Y1: nat] : ( ord_less_int @ ( semiri2019852685at_int @ Y0 ) @ ( semiri2019852685at_int @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f690]) ).
thf(f1756,plain,
( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
!= $true ),
inference(cnf_transformation,[],[f813]) ).
thf(f1759,plain,
( $true
= ( ^ [Y0: nat,Y1: nat] : ( ord_less_int @ ( semiri2019852685at_int @ Y0 ) @ ( semiri2019852685at_int @ Y1 ) )
@ m
@ na ) ),
inference(definition_unfolding,[],[f1247,f1669]) ).
thf(f1761,plain,
( ( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
= $true )
| ( $true
!= ( ^ [Y0: nat,Y1: nat] : ( ord_less_int @ ( semiri2019852685at_int @ Y0 ) @ ( semiri2019852685at_int @ Y1 ) )
@ m
@ na ) ) ),
inference(definition_unfolding,[],[f1249,f1669]) ).
thf(f2666,plain,
( ( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
= $true )
| ( $true
!= ( ord_less_int @ ( semiri2019852685at_int @ m ) @ ( semiri2019852685at_int @ na ) ) ) ),
inference(beta-eta_normalization,[],[f1761]) ).
thf(f2668,plain,
( $true
= ( ord_less_int @ ( semiri2019852685at_int @ m ) @ ( semiri2019852685at_int @ na ) ) ),
inference(beta-eta_normalization,[],[f1759]) ).
thf(f2671,plain,
$false,
inference(global_subsumption,[],[f2668,f2666,f1756]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP055^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n019.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 19:44:18 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.37 % (1257024)Will run a generic schedule for satisfiability detection.
% 0.21/0.37 % (1257034)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=843981389:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.37 % (1257030)% WARNING: option uhcvi not known.
% 0.21/0.37 % (1257031)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1926475098:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.37 % (1257029)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2789381137_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.37 % (1257032)dis+10_1_sil=32000:sp=arity:random_seed=3002293209:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.37 % (1257030)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1700992006:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.37 % (1257033)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=587699543:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.37 % (1257035)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=779639718:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.37 % (1257030)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.21/0.37 % (1257033)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.21/0.37 % (1257034)Instruction limit reached!
% 0.21/0.37 % (1257034)------------------------------
% 0.21/0.37 % (1257034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (1257034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (1257034)CaDiCaL version: 2.1.3
% 0.21/0.37 % (1257034)Termination reason: Instruction limit
% 0.21/0.37 % (1257034)Termination phase: Saturation
% 0.21/0.37 % (1257034)Time elapsed: 0.032 s
% 0.21/0.37 % (1257034)Peak memory usage: 13 MB
% 0.21/0.37 % (1257034)Instructions burned: 135 (million)
% 0.21/0.37 % (1257043)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2006995031:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.21/0.37 % (1257032)Instruction limit reached!
% 0.21/0.37 % (1257032)------------------------------
% 0.21/0.37 % (1257032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (1257032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (1257032)CaDiCaL version: 2.1.3
% 0.21/0.37 % (1257032)Termination reason: Instruction limit
% 0.21/0.37 % (1257032)Termination phase: Property scanning
% 0.21/0.37 % (1257032)Time elapsed: 0.044 s
% 0.21/0.37 % (1257032)Peak memory usage: 12 MB
% 0.21/0.37 % (1257032)Instructions burned: 104 (million)
% 0.21/0.37 % (1257033)Instruction limit reached!
% 0.21/0.37 % (1257033)------------------------------
% 0.21/0.37 % (1257033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (1257033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (1257033)CaDiCaL version: 2.1.3
% 0.21/0.37 % (1257033)Termination reason: Instruction limit
% 0.21/0.37 % (1257033)Termination phase: Property scanning
% 0.21/0.37 % (1257033)Time elapsed: 0.049 s
% 0.21/0.37 % (1257033)Peak memory usage: 12 MB
% 0.21/0.37 % (1257033)Instructions burned: 117 (million)
% 0.21/0.37 % Exception at run slice level
% 0.21/0.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.37 % (1257030)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.21/0.37 % (1257045)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2692922529:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.37 % Exception at run slice level
% 0.21/0.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.37 % (1257046)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1864291943:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.21/0.37 % (1257035)Instruction limit reached!
% 0.21/0.37 % (1257035)------------------------------
% 0.21/0.37 % (1257035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (1257035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (1257035)CaDiCaL version: 2.1.3
% 0.21/0.37 % (1257035)Termination reason: Instruction limit
% 0.21/0.37 % (1257035)Termination phase: Saturation
% 0.21/0.37 % (1257035)Time elapsed: 0.068 s
% 0.21/0.37 % (1257035)Peak memory usage: 14 MB
% 0.21/0.37 % (1257035)Instructions burned: 159 (million)
% 0.21/0.37 % (1257047)ott-21_1_sil=16000:fs=off:random_seed=1684279072:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.21/0.37 % (1257031) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1257024-1257031"...
% 0.21/0.37 % (1257049)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3152958475:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.21/0.37 % (1257031)...printing done.
% 0.21/0.37 % (1257031)Refutation found. Thanks to Tanya!
% 0.21/0.37 % SZS status Theorem for theBenchmark
% 0.21/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.37 % (1257031)------------------------------
% 0.21/0.37 % (1257031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (1257031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (1257031)CaDiCaL version: 2.1.3
% 0.21/0.37 % (1257031)Termination reason: Refutation
% 0.21/0.37 % (1257031)Time elapsed: 0.079 s
% 0.21/0.37 % (1257031)Peak memory usage: 14 MB
% 0.21/0.37 % (1257031)Instructions burned: 179 (million)
% 0.21/0.37 % (1257024)Success in time 0.13 s
% 0.21/0.37 % Vampire exiting
%------------------------------------------------------------------------------