%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n020.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 08:08:08 AM UTC 2026
% Result : Theorem 0.35s 0.39s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 16 unt; 0 typ; 2 def)
% Number of atoms : 60 ( 13 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 88 ( 11 ~; 4 |; 0 &; 68 @)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 15 ( 14 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 513 ( 510 usr; 18 con; 0-5 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% 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,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_65,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_66,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_67,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_68,type,
db3:
!>[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,
sK0: nat > nat > nat ).
thf(func_def_72,type,
sK1: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_73,type,
sK2: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_74,type,
sK3: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_75,type,
sK4: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_76,type,
sK5: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_77,type,
sK6: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_78,type,
sK7: list_l1341496881ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_79,type,
sK8: list_l1341496881ge_p_v > list_l1341496881ge_p_v ).
thf(func_def_80,type,
sK9: list_l1341496881ge_p_v > list_message_p_v ).
thf(func_def_81,type,
sK10: list_l1341496881ge_p_v > list_l1341496881ge_p_v ).
thf(func_def_82,type,
sK11: nat > nat ).
thf(func_def_83,type,
sK12: nat > nat > nat ).
thf(func_def_84,type,
sK13: nat > nat > nat ).
thf(func_def_85,type,
sK14: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_86,type,
sK15: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v ).
thf(func_def_87,type,
sK16: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_88,type,
sK17: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_89,type,
sK18: ( nat > int ) > nat ).
thf(func_def_90,type,
sK19: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_91,type,
sK20: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_92,type,
sK21: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_93,type,
sK22: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_94,type,
sK23: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_95,type,
sK24: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_96,type,
sK25: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_97,type,
sK26: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_98,type,
sK27: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_99,type,
sK28: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_100,type,
sK29: ( ( 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_101,type,
sK30: ( ( list_message_p_v > message_p_v ) > list_l1619404459ge_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_102,type,
sK31: ( ( list_message_p_v > message_p_v ) > list_l1619404459ge_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_103,type,
sK32: ( ( list_message_p_v > message_p_v ) > list_l1619404459ge_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_104,type,
sK33: ( ( list_message_p_v > message_p_v ) > list_l1619404459ge_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_105,type,
sK34: ( ( 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_106,type,
sK35: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_107,type,
sK36: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_108,type,
sK37: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_109,type,
sK38: int > nat ).
thf(func_def_110,type,
sK39: int > nat ).
thf(func_def_111,type,
sK40: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_112,type,
sK41: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_113,type,
sK42: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_114,type,
sK43: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_115,type,
sK44: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_116,type,
sK45: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_117,type,
sK46: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_118,type,
sK47: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_119,type,
sK48: nat > nat ).
thf(func_def_120,type,
sK49: ( list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_121,type,
sK50: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_122,type,
sK51: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_123,type,
sK52: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_124,type,
sK53: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_125,type,
sK54: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_126,type,
sK55: list_l1619404459ge_p_v > message_p_v ).
thf(func_def_127,type,
sK56: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_128,type,
sK57: list_message_p_v > list_message_p_v > list_message_p_v ).
thf(func_def_129,type,
sK58: list_message_p_v > list_message_p_v > message_p_v ).
thf(func_def_130,type,
sK59: list_message_p_v > list_message_p_v > list_message_p_v ).
thf(func_def_131,type,
sK60: list_message_p_v > message_p_v ).
thf(func_def_132,type,
sK61: list_message_p_v > list_message_p_v ).
thf(func_def_133,type,
sK62: int > nat ).
thf(func_def_134,type,
sK63: nat > ( nat > $o ) > nat ).
thf(func_def_135,type,
sK64: nat > ( nat > $o ) > nat ).
thf(func_def_136,type,
sK65: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_137,type,
sK66: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_138,type,
sK67: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_139,type,
sK68: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_140,type,
sK69: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_141,type,
sK70: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_142,type,
sK71: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_143,type,
sK72: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_144,type,
sK73: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_145,type,
sK74: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_146,type,
sK75: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_147,type,
sK76: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_148,type,
sK77: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_149,type,
sK78: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_150,type,
sK79: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_151,type,
sK80: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_152,type,
sK81: list_l1584713811t_unit > list_l1584713811t_unit ).
thf(func_def_153,type,
sK82: list_l1584713811t_unit > list_l1584713811t_unit ).
thf(func_def_154,type,
sK83: list_l1584713811t_unit > list_c1059388851t_unit ).
thf(func_def_155,type,
sK84: list_l1584713811t_unit > list_l611321411t_unit ).
thf(func_def_156,type,
sK85: ( nat > int ) > nat ).
thf(func_def_157,type,
sK86: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_158,type,
sK87: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_159,type,
sK88: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_160,type,
sK89: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_161,type,
sK90: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_162,type,
sK91: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_163,type,
sK92: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_164,type,
sK93: ( nat > nat > $o ) > nat ).
thf(func_def_165,type,
sK94: ( nat > nat > $o ) > nat ).
thf(func_def_166,type,
sK95: ( nat > nat > $o ) > nat ).
thf(func_def_167,type,
sK96: ( nat > nat > $o ) > nat ).
thf(func_def_168,type,
sK97: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > nat > list_c1059388851t_unit > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > config256849571t_unit > nat ).
thf(func_def_169,type,
sK98: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_170,type,
sK99: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_171,type,
sK100: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_172,type,
sK101: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_173,type,
sK102: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_174,type,
sK103: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_175,type,
sK104: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_176,type,
sK105: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_177,type,
sK106: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_178,type,
sK107: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_179,type,
sK108: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_180,type,
sK109: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_181,type,
sK110: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_182,type,
sK111: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_183,type,
sK112: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_184,type,
sK113: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_185,type,
sK114: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_186,type,
sK115: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_187,type,
sK116: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_188,type,
sK117: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_189,type,
sK118: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_190,type,
sK119: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_191,type,
sK120: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_192,type,
sK121: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_193,type,
sK122: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_194,type,
sK123: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_195,type,
sK124: ( list_l611321411t_unit > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_196,type,
sK125: ( list_l611321411t_unit > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_197,type,
sK126: ( list_l611321411t_unit > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_198,type,
sK127: ( list_l611321411t_unit > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_199,type,
sK128: ( list_l611321411t_unit > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_200,type,
sK129: ( nat > $o ) > nat > nat ).
thf(func_def_201,type,
sK130: ( nat > $o ) > nat > nat ).
thf(func_def_202,type,
sK131: ( nat > $o ) > nat ).
thf(func_def_203,type,
sK132: int > ( nat > $o ) > nat ).
thf(func_def_204,type,
sK133: ( ( list_c1059388851t_unit > message_p_v ) > list_l611321411t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_205,type,
sK134: ( ( list_c1059388851t_unit > message_p_v ) > list_l611321411t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_206,type,
sK135: ( ( list_c1059388851t_unit > message_p_v ) > list_l611321411t_unit > list_message_p_v > $o ) > list_c1059388851t_unit > message_p_v ).
thf(func_def_207,type,
sK136: ( ( list_c1059388851t_unit > message_p_v ) > list_l611321411t_unit > list_message_p_v > $o ) > list_l611321411t_unit ).
thf(func_def_208,type,
sK137: ( ( list_c1059388851t_unit > message_p_v ) > list_l611321411t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_209,type,
sK138: ( ( list_c1059388851t_unit > message_p_v ) > list_l611321411t_unit > list_message_p_v > $o ) > list_c1059388851t_unit > message_p_v ).
thf(func_def_210,type,
sK139: nat > ( nat > $o ) > nat ).
thf(func_def_211,type,
sK140: int > nat ).
thf(func_def_212,type,
sK141: ( nat > int ) > nat ).
thf(func_def_213,type,
sK142: nat > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_214,type,
sK143: nat > list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_215,type,
sK144: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_216,type,
sK145: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit ).
thf(func_def_217,type,
sK146: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_218,type,
sK147: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_219,type,
sK148: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit ).
thf(func_def_220,type,
sK149: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_221,type,
sK150: list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_222,type,
sK151: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_223,type,
sK152: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_224,type,
sK153: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_225,type,
sK154: ( nat > int ) > nat ).
thf(func_def_226,type,
sK155: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_227,type,
sK156: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_228,type,
sK157: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_229,type,
sK158: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_230,type,
sK159: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_231,type,
sK160: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_232,type,
sK161: ( list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_233,type,
sK162: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_234,type,
sK163: ( nat > $o ) > nat ).
thf(func_def_235,type,
sK164: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_236,type,
sK165: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_237,type,
sK166: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_238,type,
sK167: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_239,type,
sK168: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_240,type,
sK169: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_241,type,
sK170: nat > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_242,type,
sK171: nat > list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_243,type,
sK172: list_c1059388851t_unit > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > nat > config256849571t_unit > nat ).
thf(func_def_244,type,
sK173: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_245,type,
sK174: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_246,type,
sK175: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_247,type,
sK176: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_248,type,
sK177: ( nat > nat > $o ) > nat ).
thf(func_def_249,type,
sK178: ( nat > nat > $o ) > nat ).
thf(func_def_250,type,
sK179: ( nat > nat > $o ) > nat ).
thf(func_def_251,type,
sK180: ( nat > nat > $o ) > nat ).
thf(func_def_252,type,
sK181: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > message_p_v > message_p_v ).
thf(func_def_253,type,
sK182: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_254,type,
sK183: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_255,type,
sK184: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_256,type,
sK185: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > message_p_v > message_p_v ).
thf(func_def_257,type,
sK186: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_258,type,
sK187: ( list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_259,type,
sK188: ( list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_260,type,
sK189: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_261,type,
sK190: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_262,type,
sK191: list_message_p_v > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > nat > config256849571t_unit > nat ).
thf(func_def_263,type,
sK192: list_message_p_v > list_message_p_v ).
thf(func_def_264,type,
sK193: list_message_p_v > message_p_v ).
thf(func_def_265,type,
sK194: nat > nat > nat ).
thf(func_def_266,type,
sK195: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_267,type,
sK196: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_268,type,
sK197: list_l611321411t_unit > list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_269,type,
sK198: list_l611321411t_unit > list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_270,type,
sK199: list_l611321411t_unit > list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_271,type,
sK200: list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_272,type,
sK201: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_273,type,
sK202: list_c1059388851t_unit > list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_274,type,
sK203: list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_275,type,
sK204: list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_276,type,
sK205: nat > nat ).
thf(func_def_277,type,
sK206: ( ( 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_278,type,
sK207: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_279,type,
sK208: ( ( 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_280,type,
sK209: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_281,type,
sK210: list_c1059388851t_unit > set_nat > nat ).
thf(func_def_282,type,
sK211: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_283,type,
sK212: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_284,type,
sK213: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_285,type,
sK214: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_286,type,
sK215: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_287,type,
sK216: ( list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_288,type,
sK217: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_289,type,
sK218: ( list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_290,type,
sK219: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_291,type,
sK220: ( list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_292,type,
sK221: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_293,type,
sK222: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_294,type,
sK223: ( list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_295,type,
sK224: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit > message_p_v ).
thf(func_def_296,type,
sK225: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_297,type,
sK226: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit > message_p_v ).
thf(func_def_298,type,
sK227: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_299,type,
sK228: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_300,type,
sK229: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_301,type,
sK230: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_302,type,
sK231: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_303,type,
sK232: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_304,type,
sK233: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_305,type,
sK234: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_306,type,
sK235: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_307,type,
sK236: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_308,type,
sK237: ( int > $o ) > nat ).
thf(func_def_309,type,
sK238: ( int > $o ) > nat ).
thf(func_def_310,type,
sK239: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_311,type,
sK240: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_312,type,
sK241: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_313,type,
sK242: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_314,type,
sK243: int > nat ).
thf(func_def_315,type,
sK244: int > nat ).
thf(func_def_316,type,
sK245: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_317,type,
sK246: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_318,type,
sK247: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v ).
thf(func_def_319,type,
sK248: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v ).
thf(func_def_320,type,
sK249: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_321,type,
sK250: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v ).
thf(func_def_322,type,
sK251: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_323,type,
sK252: ( 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_324,type,
sK253: ( 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_325,type,
sK254: ( 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_326,type,
sK255: ( 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_327,type,
sK256: ( 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_328,type,
sK257: ( 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_329,type,
sK258: ( 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_330,type,
sK259: ( 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_331,type,
sK260: ( 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_332,type,
sK261: ( 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_333,type,
sK262: ( 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_334,type,
sK263: ( 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_335,type,
sK264: ( 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_336,type,
sK265: ( 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_337,type,
sK266: ( list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_338,type,
sK267: ( list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_339,type,
sK268: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_340,type,
sK269: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_341,type,
sK270: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_342,type,
sK271: ( list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_343,type,
sK272: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_344,type,
sK273: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_345,type,
sK274: ( nat > nat ) > nat ).
thf(func_def_346,type,
sK275: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_347,type,
sK276: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_348,type,
sK277: nat > nat ).
thf(func_def_349,type,
sK278: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_350,type,
sK279: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_351,type,
sK280: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_352,type,
sK281: list_l611321411t_unit > config256849571t_unit ).
thf(func_def_353,type,
sK282: ( ( message_p_v > list_c1059388851t_unit ) > list_message_p_v > list_l611321411t_unit > $o ) > message_p_v > list_c1059388851t_unit ).
thf(func_def_354,type,
sK283: ( ( message_p_v > list_c1059388851t_unit ) > list_message_p_v > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_355,type,
sK284: ( ( message_p_v > list_c1059388851t_unit ) > list_message_p_v > list_l611321411t_unit > $o ) > message_p_v ).
thf(func_def_356,type,
sK285: ( ( message_p_v > list_c1059388851t_unit ) > list_message_p_v > list_l611321411t_unit > $o ) > list_message_p_v ).
thf(func_def_357,type,
sK286: ( ( message_p_v > list_c1059388851t_unit ) > list_message_p_v > list_l611321411t_unit > $o ) > message_p_v > list_c1059388851t_unit ).
thf(func_def_358,type,
sK287: ( ( message_p_v > list_c1059388851t_unit ) > list_message_p_v > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_359,type,
sK288: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_360,type,
sK289: ( list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_361,type,
sK290: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_362,type,
sK291: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_363,type,
sK292: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_364,type,
sK293: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_365,type,
sK294: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_366,type,
sK295: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_367,type,
sK296: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_368,type,
sK297: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_369,type,
sK298: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_370,type,
sK299: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_371,type,
sK300: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_372,type,
sK301: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_373,type,
sK302: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_374,type,
sK303: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_375,type,
sK304: int > nat ).
thf(func_def_376,type,
sK305: ( nat > $o ) > nat ).
thf(func_def_377,type,
sK306: ( ( message_p_v > list_message_p_v ) > list_message_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_378,type,
sK307: ( ( 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_379,type,
sK308: ( ( message_p_v > list_message_p_v ) > list_message_p_v > list_l1619404459ge_p_v > $o ) > message_p_v ).
thf(func_def_380,type,
sK309: ( ( message_p_v > list_message_p_v ) > list_message_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_381,type,
sK310: ( ( 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_382,type,
sK311: ( ( message_p_v > list_message_p_v ) > list_message_p_v > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_383,type,
sK312: ( nat > $o ) > nat ).
thf(func_def_384,type,
sK313: ( nat > $o ) > nat ).
thf(func_def_385,type,
sK314: list_l1619404459ge_p_v > list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_386,type,
sK315: list_l1619404459ge_p_v > list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_387,type,
sK316: list_l1619404459ge_p_v > list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_388,type,
sK317: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_389,type,
sK318: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_390,type,
sK319: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_391,type,
sK320: ( list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_392,type,
sK321: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_393,type,
sK322: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_394,type,
sK323: ( nat > $o ) > nat > nat ).
thf(func_def_395,type,
sK324: ( nat > $o ) > nat > nat ).
thf(func_def_396,type,
sK325: list_message_p_v > message_p_v ).
thf(func_def_397,type,
sK326: list_message_p_v > list_message_p_v ).
thf(func_def_398,type,
sK327: list_message_p_v > message_p_v ).
thf(func_def_399,type,
sK328: list_message_p_v > message_p_v ).
thf(func_def_400,type,
sK329: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_401,type,
sK330: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_402,type,
sK331: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_403,type,
sK332: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_404,type,
sK333: int > nat ).
thf(func_def_405,type,
sK334: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_406,type,
sK335: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_407,type,
sK336: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_408,type,
sK337: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_409,type,
sK338: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_410,type,
sK339: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_411,type,
sK340: ( ( list_message_p_v > list_message_p_v ) > list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_412,type,
sK341: ( ( 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_413,type,
sK342: ( ( 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_414,type,
sK343: ( ( list_message_p_v > list_message_p_v ) > list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_415,type,
sK344: ( ( list_message_p_v > list_message_p_v ) > list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_416,type,
sK345: ( ( list_message_p_v > list_message_p_v ) > list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_417,type,
sK346: nat > list_c1059388851t_unit ).
thf(func_def_418,type,
sK347: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_419,type,
sK348: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_420,type,
sK349: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_421,type,
sK350: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_422,type,
sK351: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_423,type,
sK352: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_424,type,
sK353: int > nat ).
thf(func_def_425,type,
sK354: int > nat ).
thf(func_def_426,type,
sK355: ( ( list_message_p_v > config256849571t_unit ) > list_l1619404459ge_p_v > list_c1059388851t_unit > $o ) > list_message_p_v > config256849571t_unit ).
thf(func_def_427,type,
sK356: ( ( list_message_p_v > config256849571t_unit ) > list_l1619404459ge_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_428,type,
sK357: ( ( list_message_p_v > config256849571t_unit ) > list_l1619404459ge_p_v > list_c1059388851t_unit > $o ) > list_l1619404459ge_p_v ).
thf(func_def_429,type,
sK358: ( ( list_message_p_v > config256849571t_unit ) > list_l1619404459ge_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_430,type,
sK359: ( ( list_message_p_v > config256849571t_unit ) > list_l1619404459ge_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_431,type,
sK360: ( ( list_message_p_v > config256849571t_unit ) > list_l1619404459ge_p_v > list_c1059388851t_unit > $o ) > list_message_p_v > config256849571t_unit ).
thf(func_def_432,type,
sK361: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_433,type,
sK362: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_434,type,
sK363: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_435,type,
sK364: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_436,type,
sK365: ( nat > $o ) > nat ).
thf(func_def_437,type,
sK366: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_438,type,
sK367: list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_439,type,
sK368: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_440,type,
sK369: ( list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_441,type,
sK370: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_442,type,
sK371: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_443,type,
sK372: ( 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_444,type,
sK373: ( 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_445,type,
sK374: ( 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_446,type,
sK375: ( 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_447,type,
sK376: ( 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_448,type,
sK377: ( 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_449,type,
sK378: ( 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_450,type,
sK379: ( 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_451,type,
sK380: ( 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_452,type,
sK381: ( 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_453,type,
sK382: ( 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_454,type,
sK383: ( 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_455,type,
sK384: ( 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_456,type,
sK385: ( 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_457,type,
sK386: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_458,type,
sK387: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_459,type,
sK388: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_460,type,
sK389: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_461,type,
sK390: ( list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_462,type,
sK391: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_463,type,
sK392: ( list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_464,type,
sK393: ( list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_465,type,
sK394: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_466,type,
sK395: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_467,type,
sK396: ( list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_468,type,
sK397: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_469,type,
sK398: ( ( 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_470,type,
sK399: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_471,type,
sK400: ( ( 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_472,type,
sK401: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_473,type,
sK402: ( ( 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_474,type,
sK403: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_475,type,
sK404: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_476,type,
sK405: ( nat > $o ) > nat > nat ).
thf(func_def_477,type,
sK406: ( nat > $o ) > nat > nat ).
thf(func_def_478,type,
sK407: nat > list_message_p_v ).
thf(func_def_479,type,
sK408: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_480,type,
sK409: list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_481,type,
sK410: ( nat > nat ) > nat ).
thf(func_def_482,type,
sK411: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_483,type,
sK412: nat > ( nat > $o ) > nat ).
thf(func_def_484,type,
sK413: nat > ( nat > $o ) > nat ).
thf(func_def_485,type,
sK414: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_486,type,
sK415: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_487,type,
sK416: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_488,type,
sK417: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_489,type,
sK418: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_490,type,
sK419: ( list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_491,type,
sK420: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_492,type,
sK421: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_493,type,
sK422: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v > config256849571t_unit ).
thf(func_def_494,type,
sK423: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_495,type,
sK424: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_496,type,
sK425: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v > config256849571t_unit ).
thf(func_def_497,type,
sK426: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_498,type,
sK427: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_499,type,
sK428: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_500,type,
sK429: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_501,type,
sK430: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_502,type,
sK431: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_503,type,
sK432: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_504,type,
sK433: ( list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_505,type,
sK434: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_506,type,
sK435: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > list_message_p_v > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > nat > config256849571t_unit > nat ).
thf(func_def_507,type,
sK436: list_message_p_v > list_message_p_v ).
thf(func_def_508,type,
sK437: list_message_p_v > message_p_v ).
thf(func_def_509,type,
vNOT: $o > $o ).
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(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(f377,plain,
( ( ord_less_nat @ m @ na )
=> ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) ) ),
inference(rectify,[],[f3]) ).
thf(f378,plain,
( ( ( ord_less_nat @ m @ na )
= $true )
=> ( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
= $true ) ),
inference(fool_elimination,[],[f377]) ).
thf(f482,plain,
ord_less_nat @ m @ na,
inference(rectify,[],[f1]) ).
thf(f483,plain,
( ( ord_less_nat @ m @ na )
= $true ),
inference(fool_elimination,[],[f482]) ).
thf(f687,plain,
~ ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) ),
inference(rectify,[],[f343]) ).
thf(f688,plain,
( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
!= $true ),
inference(fool_elimination,[],[f687]) ).
thf(f835,plain,
( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
!= $true ),
inference(flattening,[],[f688]) ).
thf(f1065,plain,
( ( ( ord_less_nat @ m @ na )
!= $true )
| ( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
= $true ) ),
inference(ennf_transformation,[],[f378]) ).
thf(f1615,plain,
( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
!= $true ),
inference(cnf_transformation,[],[f835]) ).
thf(f1728,plain,
( ( ord_less_nat @ m @ na )
= $true ),
inference(cnf_transformation,[],[f483]) ).
thf(f2011,plain,
( ( ( ord_less_nat @ m @ na )
!= $true )
| ( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
= $true ) ),
inference(cnf_transformation,[],[f1065]) ).
thf(f2265,definition,
( spl438_8
<=> ( ( ord_less_nat @ m @ na )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl438_8])],[avatar_definition]) ).
thf(f2269,definition,
( spl438_9
<=> ( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl438_9])],[avatar_definition]) ).
thf(f2272,plain,
( ~ spl438_8
| spl438_9 ),
inference(avatar_split_clause,[],[f2011,f2269,f2265]) ).
thf(f2399,plain,
spl438_8,
inference(avatar_split_clause,[],[f1728,f2265]) ).
thf(f2410,plain,
~ spl438_9,
inference(avatar_split_clause,[],[f1615,f2269]) ).
cnf(s8,plain,
( ~ spl438_8
| spl438_9 ),
inference(sat_conversion,[],[f2272]) ).
cnf(s43,plain,
spl438_8,
inference(sat_conversion,[],[f2399]) ).
cnf(s52,plain,
~ spl438_9,
inference(sat_conversion,[],[f2410]) ).
cnf(s85,plain,
$false,
inference(rat,[],[s8,s52,s43]) ).
thf(f2524,plain,
$false,
inference(avatar_sat_refutation,[],[s85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP055^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n020.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 19:45:05 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.22/0.28 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
% 0.35/0.39 % (1498689)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.35/0.39 % (1498697)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=1127114251: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)
% 0.35/0.39 % (1498694)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3357373389:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.35/0.39 % (1498695)lrs+10_16_si=on:nwc=1.5:random_seed=862706813:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.35/0.39 % (1498696)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3955970991:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.35/0.39 % (1498698)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2942034087:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.35/0.39 % (1498699)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=420309550:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.35/0.39 % (1498696)Instruction limit reached!
% 0.35/0.39 % (1498696)------------------------------
% 0.35/0.39 % (1498696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.39 % (1498696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.39 % (1498696)CaDiCaL version: 2.1.3
% 0.35/0.39 % (1498696)Termination reason: Instruction limit
% 0.35/0.39 % (1498696)Termination phase: shuffling
% 0.35/0.39 % (1498696)Time elapsed: 0.002 s
% 0.35/0.39 % (1498696)Peak memory usage: 10 MB
% 0.35/0.39 % (1498696)Instructions burned: 3 (million)
% 0.35/0.39 % (1498695)Instruction limit reached!
% 0.35/0.39 % (1498695)------------------------------
% 0.35/0.39 % (1498695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.39 % (1498695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.39 % (1498695)CaDiCaL version: 2.1.3
% 0.35/0.39 % (1498695)Termination reason: Instruction limit
% 0.35/0.39 % (1498695)Termination phase: shuffling
% 0.35/0.39 % (1498695)Time elapsed: 0.008 s
% 0.35/0.39 % (1498695)Peak memory usage: 10 MB
% 0.35/0.39 % (1498695)Instructions burned: 18 (million)
% 0.35/0.39 % (1498700)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.35/0.39 % (1498700)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
% 0.35/0.39 % (1498698)Instruction limit reached!
% 0.35/0.39 % (1498698)------------------------------
% 0.35/0.39 % (1498698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.39 % (1498698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.39 % (1498698)CaDiCaL version: 2.1.3
% 0.35/0.39 % (1498698)Termination reason: Instruction limit
% 0.35/0.39 % (1498698)Termination phase: Property scanning
% 0.35/0.39 % (1498698)Time elapsed: 0.011 s
% 0.35/0.39 % (1498698)Peak memory usage: 10 MB
% 0.35/0.39 % (1498698)Instructions burned: 24 (million)
% 0.35/0.39 % (1498700)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=1516895956:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.35/0.39 % (1498709)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.35/0.39 % (1498708)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1057221213:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.35/0.39 % (1498707)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2633389638:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.35/0.39 % (1498709)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=84518303:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.35/0.39 % (1498707)Instruction limit reached!
% 0.35/0.39 % (1498707)------------------------------
% 0.35/0.39 % (1498707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.39 % (1498707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.39 % (1498707)CaDiCaL version: 2.1.3
% 0.35/0.39 % (1498707)Termination reason: Instruction limit
% 0.35/0.39 % (1498707)Termination phase: shuffling
% 0.35/0.39 % (1498707)Time elapsed: 0.002 s
% 0.35/0.39 % (1498707)Peak memory usage: 10 MB
% 0.35/0.39 % (1498707)Instructions burned: 3 (million)
% 0.35/0.39 % (1498708)Instruction limit reached!
% 0.35/0.39 % (1498708)------------------------------
% 0.35/0.39 % (1498708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.39 % (1498708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.39 % (1498708)CaDiCaL version: 2.1.3
% 0.35/0.39 % (1498708)Termination reason: Instruction limit
% 0.35/0.39 % (1498708)Termination phase: shuffling
% 0.35/0.39 % (1498708)Time elapsed: 0.003 s
% 0.35/0.39 % (1498708)Peak memory usage: 10 MB
% 0.35/0.39 % (1498708)Instructions burned: 6 (million)
% 0.35/0.39 % (1498709)Instruction limit reached!
% 0.35/0.39 % (1498709)------------------------------
% 0.35/0.39 % (1498709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.39 % (1498709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.39 % (1498709)CaDiCaL version: 2.1.3
% 0.35/0.39 % (1498709)Termination reason: Instruction limit
% 0.35/0.39 % (1498709)Termination phase: shuffling
% 0.35/0.39 % (1498709)Time elapsed: 0.004 s
% 0.35/0.39 % (1498709)Peak memory usage: 10 MB
% 0.35/0.39 % (1498709)Instructions burned: 8 (million)
% 0.35/0.39 % (1498699)Instruction limit reached!
% 0.35/0.39 % (1498699)------------------------------
% 0.35/0.39 % (1498699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.39 % (1498699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.39 % (1498699)CaDiCaL version: 2.1.3
% 0.35/0.39 % (1498699)Termination reason: Instruction limit
% 0.35/0.39 % (1498699)Termination phase: Property scanning
% 0.35/0.39 % (1498699)Time elapsed: 0.036 s
% 0.35/0.39 % (1498699)Peak memory usage: 12 MB
% 0.35/0.39 % (1498699)Instructions burned: 75 (million)
% 0.35/0.39 % (1498697) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1498689-1498697"...
% 0.35/0.39 % (1498694)Instruction limit reached!
% 0.35/0.39 % (1498694)------------------------------
% 0.35/0.39 % (1498694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.39 % (1498694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.39 % (1498694)CaDiCaL version: 2.1.3
% 0.35/0.39 % (1498694)Termination reason: Instruction limit
% 0.35/0.39 % (1498694)Termination phase: Property scanning
% 0.35/0.39 % (1498694)Time elapsed: 0.042 s
% 0.35/0.39 % (1498694)Peak memory usage: 12 MB
% 0.35/0.39 % (1498694)Instructions burned: 90 (million)
% 0.35/0.39 % (1498697)...printing done.
% 0.35/0.39 % (1498697)Refutation found. Thanks to Tanya!
% 0.35/0.39 % SZS status Theorem for theBenchmark
% 0.35/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.35/0.40 % (1498697)------------------------------
% 0.35/0.40 % (1498697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.40 % (1498697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.40 % (1498697)CaDiCaL version: 2.1.3
% 0.35/0.40 % (1498697)Termination reason: Refutation
% 0.35/0.40 % (1498697)Time elapsed: 0.048 s
% 0.35/0.40 % (1498697)Peak memory usage: 15 MB
% 0.35/0.40 % (1498697)Instructions burned: 188 (million)
% 0.35/0.40 % (1498689)Success in time 0.103 s
% 0.35/0.40 % Vampire exiting
%------------------------------------------------------------------------------