%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP058^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 08:10:32 AM UTC 2026
% Result : Theorem 2.72s 0.67s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 15 unt; 0 typ; 1 def)
% Number of atoms : 21 ( 11 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 59 ( 8 ~; 2 |; 0 &; 48 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 14 ( 13 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 720 ( 718 usr; 11 con; 0-5 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
list_l611321411t_unit: $tType ).
thf(type_def_6,type,
list_c1059388851t_unit: $tType ).
thf(type_def_7,type,
config256849571t_unit: $tType ).
thf(type_def_8,type,
list_l1619404459ge_p_v: $tType ).
thf(type_def_9,type,
list_message_p_v: $tType ).
thf(type_def_10,type,
list_list_nat: $tType ).
thf(type_def_11,type,
message_p_v: $tType ).
thf(type_def_12,type,
messageValue_v: $tType ).
thf(type_def_13,type,
list_nat: $tType ).
thf(type_def_14,type,
set_nat: $tType ).
thf(type_def_15,type,
nat: $tType ).
thf(type_def_16,type,
s: $tType ).
thf(type_def_17,type,
p: $tType ).
thf(type_def_18,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,
minus_minus_nat: nat > nat > nat ).
thf(func_def_4,type,
zero_zero_nat: nat ).
thf(func_def_5,type,
bind_c1439720399t_unit: list_c1059388851t_unit > ( config256849571t_unit > list_c1059388851t_unit ) > list_c1059388851t_unit ).
thf(func_def_6,type,
bind_c246984691ge_p_v: list_c1059388851t_unit > ( config256849571t_unit > list_message_p_v ) > list_message_p_v ).
thf(func_def_7,type,
bind_m595590011t_unit: list_message_p_v > ( message_p_v > list_c1059388851t_unit ) > list_c1059388851t_unit ).
thf(func_def_8,type,
bind_m729301831ge_p_v: list_message_p_v > ( message_p_v > list_message_p_v ) > list_message_p_v ).
thf(func_def_9,type,
count_1396868135t_unit: list_c1059388851t_unit > config256849571t_unit > nat ).
thf(func_def_10,type,
count_1322329499ge_p_v: list_message_p_v > message_p_v > nat ).
thf(func_def_11,type,
gen_le193291088t_unit: nat > list_c1059388851t_unit > nat ).
thf(func_def_12,type,
gen_le697204914ge_p_v: nat > list_message_p_v > nat ).
thf(func_def_13,type,
insert1308755079t_unit: config256849571t_unit > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_14,type,
insert_message_p_v: message_p_v > list_message_p_v > list_message_p_v ).
thf(func_def_15,type,
cons_c1162654829t_unit: config256849571t_unit > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_16,type,
cons_message_p_v: message_p_v > list_message_p_v > list_message_p_v ).
thf(func_def_17,type,
cons_l1083444861t_unit: list_c1059388851t_unit > list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_18,type,
cons_l233104475ge_p_v: list_message_p_v > list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_19,type,
cons_list_nat: list_nat > list_list_nat > list_list_nat ).
thf(func_def_20,type,
cons_nat: nat > list_nat > list_nat ).
thf(func_def_21,type,
nil_co1338500125t_unit: list_c1059388851t_unit ).
thf(func_def_22,type,
nil_message_p_v: list_message_p_v ).
thf(func_def_23,type,
nil_li307996205t_unit: list_l611321411t_unit ).
thf(func_def_24,type,
nil_list_message_p_v: list_l1619404459ge_p_v ).
thf(func_def_25,type,
nil_list_nat: list_list_nat ).
thf(func_def_26,type,
nil_nat: list_nat ).
thf(func_def_27,type,
list_e1598815642t_unit: ( config256849571t_unit > $o ) > list_c1059388851t_unit > $o ).
thf(func_def_28,type,
list_ex1_message_p_v: ( message_p_v > $o ) > list_message_p_v > $o ).
thf(func_def_29,type,
listre990624391t_unit: ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_30,type,
listre823101243ge_p_v: ( config256849571t_unit > message_p_v > $o ) > list_c1059388851t_unit > list_message_p_v > $o ).
thf(func_def_31,type,
listre1171706563t_unit: ( message_p_v > config256849571t_unit > $o ) > list_message_p_v > list_c1059388851t_unit > $o ).
thf(func_def_32,type,
listre1295695359ge_p_v: ( message_p_v > message_p_v > $o ) > list_message_p_v > list_message_p_v > $o ).
thf(func_def_33,type,
map_ta91747645t_unit: ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_34,type,
map_ta782801413ge_p_v: ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_35,type,
map_ta1131406733t_unit: ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_36,type,
map_ta1016577461ge_p_v: ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > list_message_p_v ).
thf(func_def_37,type,
member1087090632t_unit: list_c1059388851t_unit > config256849571t_unit > $o ).
thf(func_def_38,type,
member_message_p_v: list_message_p_v > message_p_v > $o ).
thf(func_def_39,type,
n_list1987762709t_unit: nat > list_c1059388851t_unit > list_l611321411t_unit ).
thf(func_def_40,type,
n_lists_message_p_v: nat > list_message_p_v > list_l1619404459ge_p_v ).
thf(func_def_41,type,
nths_c890550943t_unit: list_c1059388851t_unit > set_nat > list_c1059388851t_unit ).
thf(func_def_42,type,
nths_message_p_v: list_message_p_v > set_nat > list_message_p_v ).
thf(func_def_43,type,
lexord1758866263t_unit: ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_44,type,
lexord2101627499ge_p_v: ( message_p_v > message_p_v > $o ) > list_message_p_v > list_message_p_v > $o ).
thf(func_def_45,type,
ord_lexordp_nat: list_nat > list_nat > $o ).
thf(func_def_46,type,
ord_lexordp_eq_nat: list_nat > list_nat > $o ).
thf(func_def_47,type,
produc663212148t_unit: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_48,type,
produc1505827982ge_p_v: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_49,type,
splice888123018t_unit: list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_50,type,
splice_message_p_v: list_message_p_v > list_message_p_v > list_message_p_v ).
thf(func_def_51,type,
subseq1144048270t_unit: list_c1059388851t_unit > list_l611321411t_unit ).
thf(func_def_52,type,
subseqs_message_p_v: list_message_p_v > list_l1619404459ge_p_v ).
thf(func_def_53,type,
suc: nat > nat ).
thf(func_def_54,type,
semiri1382578993at_nat: nat > nat ).
thf(func_def_55,type,
size_s1406904903t_unit: list_c1059388851t_unit > nat ).
thf(func_def_56,type,
size_s1168481041ge_p_v: list_message_p_v > nat ).
thf(func_def_57,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_58,type,
member_nat: nat > set_nat > $o ).
thf(func_def_59,type,
cfg: config256849571t_unit ).
thf(func_def_60,type,
fStepCfg: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(func_def_61,type,
fStepMsg: list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_62,type,
fe: nat > list_c1059388851t_unit ).
thf(func_def_63,type,
ft: nat > list_message_p_v ).
thf(func_def_65,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_66,type,
vAND: $o > $o > $o ).
thf(func_def_69,type,
vNOT: $o > $o ).
thf(func_def_70,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_71,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_72,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_73,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_74,type,
vOR: $o > $o > $o ).
thf(func_def_75,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_76,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_77,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_78,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_79,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_80,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_81,type,
vIMP: $o > $o > $o ).
thf(func_def_82,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_83,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_84,type,
sP2: ( config256849571t_unit > config256849571t_unit > $o ) > ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > $o ).
thf(func_def_85,type,
sP3: ( message_p_v > message_p_v > $o ) > ( list_message_p_v > list_message_p_v > $o ) > $o ).
thf(func_def_86,type,
sP4: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > $o ).
thf(func_def_87,type,
sP5: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > $o ).
thf(func_def_88,type,
sP6: list_nat > list_nat > $o ).
thf(func_def_89,type,
sP7: ( list_nat > list_nat > $o ) > $o ).
thf(func_def_90,type,
sP8: list_nat > list_nat > $o ).
thf(func_def_91,type,
sP9: list_nat > list_nat > $o ).
thf(func_def_92,type,
sP10: ( list_nat > list_nat > $o ) > $o ).
thf(func_def_93,type,
sK11: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_94,type,
sK12: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_95,type,
sK13: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_96,type,
sK14: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_97,type,
sK15: list_nat > nat ).
thf(func_def_98,type,
sK16: list_nat > list_nat ).
thf(func_def_99,type,
sK17: list_message_p_v > message_p_v ).
thf(func_def_100,type,
sK18: list_message_p_v > list_message_p_v ).
thf(func_def_101,type,
sK19: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_102,type,
sK20: list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_103,type,
sK21: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_104,type,
sK22: ( list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_105,type,
sK23: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_106,type,
sK24: ( list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_107,type,
sK25: ( list_nat > $o ) > nat ).
thf(func_def_108,type,
sK26: ( list_nat > $o ) > list_nat ).
thf(func_def_109,type,
sK27: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_110,type,
sK28: ( list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_111,type,
sK29: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_112,type,
sK30: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_113,type,
sK31: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_114,type,
sK32: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_115,type,
sK33: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_116,type,
sK34: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_117,type,
sK35: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_118,type,
sK36: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_119,type,
sK37: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_120,type,
sK38: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_121,type,
sK39: ( list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_122,type,
sK40: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_123,type,
sK41: ( list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_124,type,
sK42: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_125,type,
sK43: ( list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_126,type,
sK44: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_127,type,
sK45: ( list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_128,type,
sK46: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_129,type,
sK47: ( list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_130,type,
sK48: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_131,type,
sK49: ( list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_132,type,
sK50: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_133,type,
sK51: ( list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_134,type,
sK52: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_135,type,
sK53: ( list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_136,type,
sK54: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_137,type,
sK55: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_138,type,
sK56: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_139,type,
sK57: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_140,type,
sK58: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_141,type,
sK59: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_142,type,
sK60: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_143,type,
sK61: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_144,type,
sK62: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_145,type,
sK63: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_146,type,
sK64: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_147,type,
sK65: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_148,type,
sK66: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_149,type,
sK67: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_150,type,
sK68: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_151,type,
sK69: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_152,type,
sK70: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_153,type,
sK71: ( list_message_p_v > list_nat > $o ) > message_p_v ).
thf(func_def_154,type,
sK72: ( list_message_p_v > list_nat > $o ) > list_message_p_v ).
thf(func_def_155,type,
sK73: ( list_message_p_v > list_nat > $o ) > nat ).
thf(func_def_156,type,
sK74: ( list_message_p_v > list_nat > $o ) > list_nat ).
thf(func_def_157,type,
sK75: ( list_message_p_v > list_nat > $o ) > nat ).
thf(func_def_158,type,
sK76: ( list_message_p_v > list_nat > $o ) > list_nat ).
thf(func_def_159,type,
sK77: ( list_message_p_v > list_nat > $o ) > message_p_v ).
thf(func_def_160,type,
sK78: ( list_message_p_v > list_nat > $o ) > list_message_p_v ).
thf(func_def_161,type,
sK79: ( list_nat > list_message_p_v > $o ) > nat ).
thf(func_def_162,type,
sK80: ( list_nat > list_message_p_v > $o ) > list_nat ).
thf(func_def_163,type,
sK81: ( list_nat > list_message_p_v > $o ) > message_p_v ).
thf(func_def_164,type,
sK82: ( list_nat > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_165,type,
sK83: ( list_nat > list_message_p_v > $o ) > message_p_v ).
thf(func_def_166,type,
sK84: ( list_nat > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_167,type,
sK85: ( list_nat > list_message_p_v > $o ) > nat ).
thf(func_def_168,type,
sK86: ( list_nat > list_message_p_v > $o ) > list_nat ).
thf(func_def_169,type,
sK87: ( list_l1619404459ge_p_v > list_nat > $o ) > list_message_p_v ).
thf(func_def_170,type,
sK88: ( list_l1619404459ge_p_v > list_nat > $o ) > list_l1619404459ge_p_v ).
thf(func_def_171,type,
sK89: ( list_l1619404459ge_p_v > list_nat > $o ) > nat ).
thf(func_def_172,type,
sK90: ( list_l1619404459ge_p_v > list_nat > $o ) > list_nat ).
thf(func_def_173,type,
sK91: ( list_l1619404459ge_p_v > list_nat > $o ) > nat ).
thf(func_def_174,type,
sK92: ( list_l1619404459ge_p_v > list_nat > $o ) > list_nat ).
thf(func_def_175,type,
sK93: ( list_l1619404459ge_p_v > list_nat > $o ) > list_message_p_v ).
thf(func_def_176,type,
sK94: ( list_l1619404459ge_p_v > list_nat > $o ) > list_l1619404459ge_p_v ).
thf(func_def_177,type,
sK95: ( list_nat > list_l1619404459ge_p_v > $o ) > nat ).
thf(func_def_178,type,
sK96: ( list_nat > list_l1619404459ge_p_v > $o ) > list_nat ).
thf(func_def_179,type,
sK97: ( list_nat > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_180,type,
sK98: ( list_nat > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_181,type,
sK99: ( list_nat > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_182,type,
sK100: ( list_nat > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_183,type,
sK101: ( list_nat > list_l1619404459ge_p_v > $o ) > nat ).
thf(func_def_184,type,
sK102: ( list_nat > list_l1619404459ge_p_v > $o ) > list_nat ).
thf(func_def_185,type,
sK103: ( list_c1059388851t_unit > list_nat > $o ) > config256849571t_unit ).
thf(func_def_186,type,
sK104: ( list_c1059388851t_unit > list_nat > $o ) > list_c1059388851t_unit ).
thf(func_def_187,type,
sK105: ( list_c1059388851t_unit > list_nat > $o ) > nat ).
thf(func_def_188,type,
sK106: ( list_c1059388851t_unit > list_nat > $o ) > list_nat ).
thf(func_def_189,type,
sK107: ( list_c1059388851t_unit > list_nat > $o ) > nat ).
thf(func_def_190,type,
sK108: ( list_c1059388851t_unit > list_nat > $o ) > list_nat ).
thf(func_def_191,type,
sK109: ( list_c1059388851t_unit > list_nat > $o ) > config256849571t_unit ).
thf(func_def_192,type,
sK110: ( list_c1059388851t_unit > list_nat > $o ) > list_c1059388851t_unit ).
thf(func_def_193,type,
sK111: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_194,type,
sK112: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_195,type,
sK113: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_196,type,
sK114: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_197,type,
sK115: ( list_l611321411t_unit > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_198,type,
sK116: ( list_l611321411t_unit > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_199,type,
sK117: ( list_l611321411t_unit > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_200,type,
sK118: ( list_l611321411t_unit > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_201,type,
sK119: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_202,type,
sK120: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_203,type,
sK121: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_204,type,
sK122: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_205,type,
sK123: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_206,type,
sK124: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_207,type,
sK125: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_208,type,
sK126: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_209,type,
sK127: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_210,type,
sK128: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_211,type,
sK129: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_212,type,
sK130: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_213,type,
sK131: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_214,type,
sK132: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_215,type,
sK133: ( list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_216,type,
sK134: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_217,type,
sK135: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_218,type,
sK136: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_219,type,
sK137: ( list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_220,type,
sK138: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_221,type,
sK139: ( list_nat > $o ) > nat ).
thf(func_def_222,type,
sK140: ( list_nat > $o ) > nat ).
thf(func_def_223,type,
sK141: ( list_nat > $o ) > list_nat ).
thf(func_def_224,type,
sK142: ( list_nat > $o ) > nat ).
thf(func_def_225,type,
sK143: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_226,type,
sK144: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_227,type,
sK145: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_228,type,
sK146: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_229,type,
sK147: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_230,type,
sK148: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_231,type,
sK149: ( list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_232,type,
sK150: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_233,type,
sK151: list_nat > nat ).
thf(func_def_234,type,
sK152: list_nat > list_nat ).
thf(func_def_235,type,
sK153: ( list_nat > $o ) > nat ).
thf(func_def_236,type,
sK154: ( list_nat > $o ) > list_nat ).
thf(func_def_237,type,
sK155: ( list_nat > $o ) > nat ).
thf(func_def_238,type,
sK156: ( list_nat > $o ) > list_nat ).
thf(func_def_239,type,
sK157: list_nat > nat ).
thf(func_def_240,type,
sK158: list_nat > list_nat ).
thf(func_def_241,type,
sK159: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > message_p_v > message_p_v ).
thf(func_def_242,type,
sK160: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_243,type,
sK161: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_244,type,
sK162: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_245,type,
sK163: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > message_p_v > message_p_v ).
thf(func_def_246,type,
sK164: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_247,type,
sK165: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v > config256849571t_unit ).
thf(func_def_248,type,
sK166: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_249,type,
sK167: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_250,type,
sK168: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_251,type,
sK169: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v > config256849571t_unit ).
thf(func_def_252,type,
sK170: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_253,type,
sK171: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit > message_p_v ).
thf(func_def_254,type,
sK172: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_255,type,
sK173: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_256,type,
sK174: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_257,type,
sK175: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit > message_p_v ).
thf(func_def_258,type,
sK176: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_259,type,
sK177: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit ).
thf(func_def_260,type,
sK178: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_261,type,
sK179: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_262,type,
sK180: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_263,type,
sK181: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit ).
thf(func_def_264,type,
sK182: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_265,type,
sK183: ( ( nat > nat ) > list_nat > list_nat > $o ) > nat > nat ).
thf(func_def_266,type,
sK184: ( ( nat > nat ) > list_nat > list_nat > $o ) > nat ).
thf(func_def_267,type,
sK185: ( ( nat > nat ) > list_nat > list_nat > $o ) > list_nat ).
thf(func_def_268,type,
sK186: ( ( nat > nat ) > list_nat > list_nat > $o ) > list_nat ).
thf(func_def_269,type,
sK187: ( ( nat > nat ) > list_nat > list_nat > $o ) > nat > nat ).
thf(func_def_270,type,
sK188: ( ( nat > nat ) > list_nat > list_nat > $o ) > list_nat ).
thf(func_def_271,type,
sK189: ( ( nat > message_p_v ) > list_nat > list_message_p_v > $o ) > nat > message_p_v ).
thf(func_def_272,type,
sK190: ( ( nat > message_p_v ) > list_nat > list_message_p_v > $o ) > nat ).
thf(func_def_273,type,
sK191: ( ( nat > message_p_v ) > list_nat > list_message_p_v > $o ) > list_nat ).
thf(func_def_274,type,
sK192: ( ( nat > message_p_v ) > list_nat > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_275,type,
sK193: ( ( nat > message_p_v ) > list_nat > list_message_p_v > $o ) > nat > message_p_v ).
thf(func_def_276,type,
sK194: ( ( nat > message_p_v ) > list_nat > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_277,type,
sK195: ( ( message_p_v > nat ) > list_message_p_v > list_nat > $o ) > message_p_v > nat ).
thf(func_def_278,type,
sK196: ( ( message_p_v > nat ) > list_message_p_v > list_nat > $o ) > message_p_v ).
thf(func_def_279,type,
sK197: ( ( message_p_v > nat ) > list_message_p_v > list_nat > $o ) > list_message_p_v ).
thf(func_def_280,type,
sK198: ( ( message_p_v > nat ) > list_message_p_v > list_nat > $o ) > list_nat ).
thf(func_def_281,type,
sK199: ( ( message_p_v > nat ) > list_message_p_v > list_nat > $o ) > message_p_v > nat ).
thf(func_def_282,type,
sK200: ( ( message_p_v > nat ) > list_message_p_v > list_nat > $o ) > list_nat ).
thf(func_def_283,type,
sK201: ( ( nat > list_message_p_v ) > list_nat > list_l1619404459ge_p_v > $o ) > nat > list_message_p_v ).
thf(func_def_284,type,
sK202: ( ( nat > list_message_p_v ) > list_nat > list_l1619404459ge_p_v > $o ) > nat ).
thf(func_def_285,type,
sK203: ( ( nat > list_message_p_v ) > list_nat > list_l1619404459ge_p_v > $o ) > list_nat ).
thf(func_def_286,type,
sK204: ( ( nat > list_message_p_v ) > list_nat > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_287,type,
sK205: ( ( nat > list_message_p_v ) > list_nat > list_l1619404459ge_p_v > $o ) > nat > list_message_p_v ).
thf(func_def_288,type,
sK206: ( ( nat > list_message_p_v ) > list_nat > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_289,type,
sK207: ( ( list_message_p_v > nat ) > list_l1619404459ge_p_v > list_nat > $o ) > list_message_p_v > nat ).
thf(func_def_290,type,
sK208: ( ( list_message_p_v > nat ) > list_l1619404459ge_p_v > list_nat > $o ) > list_message_p_v ).
thf(func_def_291,type,
sK209: ( ( list_message_p_v > nat ) > list_l1619404459ge_p_v > list_nat > $o ) > list_l1619404459ge_p_v ).
thf(func_def_292,type,
sK210: ( ( list_message_p_v > nat ) > list_l1619404459ge_p_v > list_nat > $o ) > list_nat ).
thf(func_def_293,type,
sK211: ( ( list_message_p_v > nat ) > list_l1619404459ge_p_v > list_nat > $o ) > list_message_p_v > nat ).
thf(func_def_294,type,
sK212: ( ( list_message_p_v > nat ) > list_l1619404459ge_p_v > list_nat > $o ) > list_nat ).
thf(func_def_295,type,
sK213: ( ( nat > config256849571t_unit ) > list_nat > list_c1059388851t_unit > $o ) > nat > config256849571t_unit ).
thf(func_def_296,type,
sK214: ( ( nat > config256849571t_unit ) > list_nat > list_c1059388851t_unit > $o ) > nat ).
thf(func_def_297,type,
sK215: ( ( nat > config256849571t_unit ) > list_nat > list_c1059388851t_unit > $o ) > list_nat ).
thf(func_def_298,type,
sK216: ( ( nat > config256849571t_unit ) > list_nat > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_299,type,
sK217: ( ( nat > config256849571t_unit ) > list_nat > list_c1059388851t_unit > $o ) > nat > config256849571t_unit ).
thf(func_def_300,type,
sK218: ( ( nat > config256849571t_unit ) > list_nat > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_301,type,
sK219: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_302,type,
sK220: ( list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_303,type,
sK221: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_304,type,
sK222: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_305,type,
sK223: ( list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_306,type,
sK224: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_307,type,
sK225: ( list_nat > $o ) > nat ).
thf(func_def_308,type,
sK226: ( list_nat > $o ) > list_nat ).
thf(func_def_309,type,
sK227: ( list_nat > $o ) > nat ).
thf(func_def_310,type,
sK228: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_311,type,
sK229: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_312,type,
sK230: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_313,type,
sK231: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_314,type,
sK232: ( list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_315,type,
sK233: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_316,type,
sK234: ( ( 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_317,type,
sK235: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_318,type,
sK236: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_319,type,
sK237: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_320,type,
sK238: ( ( 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_321,type,
sK239: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_322,type,
sK240: ( ( 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_323,type,
sK241: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_324,type,
sK242: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_325,type,
sK243: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_326,type,
sK244: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_327,type,
sK245: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_328,type,
sK246: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_329,type,
sK247: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_330,type,
sK248: ( ( nat > nat > $o ) > list_nat > $o ) > nat > nat > $o ).
thf(func_def_331,type,
sK249: ( ( nat > nat > $o ) > list_nat > $o ) > nat ).
thf(func_def_332,type,
sK250: ( ( nat > nat > $o ) > list_nat > $o ) > nat ).
thf(func_def_333,type,
sK251: ( ( nat > nat > $o ) > list_nat > $o ) > list_nat ).
thf(func_def_334,type,
sK252: ( ( nat > nat > $o ) > list_nat > $o ) > nat > nat > $o ).
thf(func_def_335,type,
sK253: ( ( nat > nat > $o ) > list_nat > $o ) > nat ).
thf(func_def_336,type,
sK254: ( ( nat > nat > $o ) > list_nat > $o ) > nat > nat > $o ).
thf(func_def_337,type,
sK255: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_338,type,
sK256: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_339,type,
sK257: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_340,type,
sK258: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_341,type,
sK259: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_342,type,
sK260: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_343,type,
sK261: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_344,type,
sK262: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_345,type,
sK263: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v ).
thf(func_def_346,type,
sK264: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v ).
thf(func_def_347,type,
sK265: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_348,type,
sK266: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_349,type,
sK267: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v ).
thf(func_def_350,type,
sK268: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_351,type,
sK269: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_352,type,
sK270: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_353,type,
sK271: ( list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_354,type,
sK272: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_355,type,
sK273: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_356,type,
sK274: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_357,type,
sK275: ( list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_358,type,
sK276: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_359,type,
sK277: ( list_nat > $o ) > nat ).
thf(func_def_360,type,
sK278: ( list_nat > $o ) > nat ).
thf(func_def_361,type,
sK279: ( list_nat > $o ) > list_nat ).
thf(func_def_362,type,
sK280: ( list_nat > $o ) > nat ).
thf(func_def_363,type,
sK281: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_364,type,
sK282: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_365,type,
sK283: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_366,type,
sK284: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_367,type,
sK285: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_368,type,
sK286: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_369,type,
sK287: ( list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_370,type,
sK288: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_371,type,
sK289: ( ( 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_372,type,
sK290: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_373,type,
sK291: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_374,type,
sK292: ( ( 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_375,type,
sK293: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_376,type,
sK294: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_377,type,
sK295: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_378,type,
sK296: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_379,type,
sK297: ( ( nat > nat > $o ) > list_nat > $o ) > nat > nat > $o ).
thf(func_def_380,type,
sK298: ( ( nat > nat > $o ) > list_nat > $o ) > nat ).
thf(func_def_381,type,
sK299: ( ( nat > nat > $o ) > list_nat > $o ) > list_nat ).
thf(func_def_382,type,
sK300: ( ( nat > nat > $o ) > list_nat > $o ) > nat > nat > $o ).
thf(func_def_383,type,
sK301: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_384,type,
sK302: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_385,type,
sK303: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_386,type,
sK304: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_387,type,
sK305: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_388,type,
sK306: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v ).
thf(func_def_389,type,
sK307: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_390,type,
sK308: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_391,type,
sK309: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_392,type,
sK310: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_393,type,
sK311: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_394,type,
sK312: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_395,type,
sK313: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_396,type,
sK314: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_397,type,
sK315: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_398,type,
sK316: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_399,type,
sK317: list_nat > nat ).
thf(func_def_400,type,
sK318: list_nat > nat ).
thf(func_def_401,type,
sK319: list_nat > list_nat ).
thf(func_def_402,type,
sK320: list_nat > nat ).
thf(func_def_403,type,
sK321: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_404,type,
sK322: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_405,type,
sK323: list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_406,type,
sK324: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_407,type,
sK325: list_message_p_v > message_p_v ).
thf(func_def_408,type,
sK326: list_message_p_v > message_p_v ).
thf(func_def_409,type,
sK327: list_message_p_v > list_message_p_v ).
thf(func_def_410,type,
sK328: list_message_p_v > message_p_v ).
thf(func_def_411,type,
sK329: list_list_nat > nat ).
thf(func_def_412,type,
sK330: list_list_nat > list_nat ).
thf(func_def_413,type,
sK331: list_list_nat > list_list_nat ).
thf(func_def_414,type,
sK332: list_list_nat > list_list_nat ).
thf(func_def_415,type,
sK333: list_l611321411t_unit > config256849571t_unit ).
thf(func_def_416,type,
sK334: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_417,type,
sK335: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_418,type,
sK336: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_419,type,
sK337: list_l1619404459ge_p_v > message_p_v ).
thf(func_def_420,type,
sK338: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_421,type,
sK339: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_422,type,
sK340: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_423,type,
sK341: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_424,type,
sK342: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_425,type,
sK343: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_426,type,
sK344: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_427,type,
sK345: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_428,type,
sK346: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_429,type,
sK347: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_430,type,
sK348: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_431,type,
sK349: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_432,type,
sK350: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_433,type,
sK351: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_434,type,
sK352: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_435,type,
sK353: 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_436,type,
sK354: 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_437,type,
sK355: ( 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_438,type,
sK356: ( 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_439,type,
sK357: ( 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_440,type,
sK358: ( 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_441,type,
sK359: ( 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_442,type,
sK360: ( 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_443,type,
sK361: ( 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_444,type,
sK362: ( 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_445,type,
sK363: ( 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_446,type,
sK364: ( 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,
sK365: ( 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_448,type,
sK366: ( 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_449,type,
sK367: ( 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,
sK368: ( 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,
sK369: ( 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_452,type,
sK370: ( 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_453,type,
sK371: ( 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_454,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 > ( 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_455,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 ) > ( 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_456,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 ) > ( 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_457,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 ) > ( 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_458,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 > ( 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_459,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 ) > config256849571t_unit ).
thf(func_def_460,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 ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(func_def_461,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 ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_462,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 ).
thf(func_def_463,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 ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(func_def_464,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 ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_465,type,
sK383: 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_466,type,
sK384: 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_467,type,
sK385: ( nat > $o ) > nat ).
thf(func_def_468,type,
sK386: nat > nat ).
thf(func_def_469,type,
sK387: ( nat > $o ) > nat ).
thf(func_def_470,type,
sK388: nat > nat ).
thf(func_def_471,type,
sK389: ( nat > $o ) > nat ).
thf(func_def_472,type,
sK390: ( nat > nat > $o ) > nat ).
thf(func_def_473,type,
sK391: ( nat > nat > $o ) > nat ).
thf(func_def_474,type,
sK392: ( nat > nat > $o ) > nat ).
thf(func_def_475,type,
sK393: ( nat > nat > $o ) > nat ).
thf(func_def_476,type,
sK394: list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit ) > config256849571t_unit ).
thf(func_def_477,type,
sK395: list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit ).
thf(func_def_478,type,
sK396: list_message_p_v > list_message_p_v > list_c1059388851t_unit > ( config256849571t_unit > message_p_v ) > config256849571t_unit ).
thf(func_def_479,type,
sK397: list_message_p_v > list_message_p_v > list_c1059388851t_unit > ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit ).
thf(func_def_480,type,
sK398: list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > ( message_p_v > config256849571t_unit ) > message_p_v ).
thf(func_def_481,type,
sK399: list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > ( message_p_v > config256849571t_unit ) > list_message_p_v ).
thf(func_def_482,type,
sK400: list_message_p_v > list_message_p_v > list_message_p_v > ( message_p_v > message_p_v ) > message_p_v ).
thf(func_def_483,type,
sK401: list_message_p_v > list_message_p_v > list_message_p_v > ( message_p_v > message_p_v ) > list_message_p_v ).
thf(func_def_484,type,
sK402: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > config256849571t_unit ).
thf(func_def_485,type,
sK403: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > config256849571t_unit ).
thf(func_def_486,type,
sK404: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_487,type,
sK405: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_488,type,
sK406: list_message_p_v > list_c1059388851t_unit > ( config256849571t_unit > message_p_v > $o ) > config256849571t_unit ).
thf(func_def_489,type,
sK407: list_message_p_v > list_c1059388851t_unit > ( config256849571t_unit > message_p_v > $o ) > message_p_v ).
thf(func_def_490,type,
sK408: list_message_p_v > list_c1059388851t_unit > ( config256849571t_unit > message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_491,type,
sK409: list_message_p_v > list_c1059388851t_unit > ( config256849571t_unit > message_p_v > $o ) > list_message_p_v ).
thf(func_def_492,type,
sK410: list_c1059388851t_unit > list_message_p_v > ( message_p_v > config256849571t_unit > $o ) > message_p_v ).
thf(func_def_493,type,
sK411: list_c1059388851t_unit > list_message_p_v > ( message_p_v > config256849571t_unit > $o ) > config256849571t_unit ).
thf(func_def_494,type,
sK412: list_c1059388851t_unit > list_message_p_v > ( message_p_v > config256849571t_unit > $o ) > list_message_p_v ).
thf(func_def_495,type,
sK413: list_c1059388851t_unit > list_message_p_v > ( message_p_v > config256849571t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_496,type,
sK414: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > message_p_v ).
thf(func_def_497,type,
sK415: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > message_p_v ).
thf(func_def_498,type,
sK416: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > list_message_p_v ).
thf(func_def_499,type,
sK417: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > list_message_p_v ).
thf(func_def_500,type,
sK418: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > ( config256849571t_unit > config256849571t_unit > $o ) > config256849571t_unit ).
thf(func_def_501,type,
sK419: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > ( config256849571t_unit > config256849571t_unit > $o ) > config256849571t_unit ).
thf(func_def_502,type,
sK420: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_503,type,
sK421: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_504,type,
sK422: ( list_c1059388851t_unit > list_message_p_v > $o ) > ( config256849571t_unit > message_p_v > $o ) > config256849571t_unit ).
thf(func_def_505,type,
sK423: ( list_c1059388851t_unit > list_message_p_v > $o ) > ( config256849571t_unit > message_p_v > $o ) > message_p_v ).
thf(func_def_506,type,
sK424: ( list_c1059388851t_unit > list_message_p_v > $o ) > ( config256849571t_unit > message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_507,type,
sK425: ( list_c1059388851t_unit > list_message_p_v > $o ) > ( config256849571t_unit > message_p_v > $o ) > list_message_p_v ).
thf(func_def_508,type,
sK426: ( list_message_p_v > list_c1059388851t_unit > $o ) > ( message_p_v > config256849571t_unit > $o ) > message_p_v ).
thf(func_def_509,type,
sK427: ( list_message_p_v > list_c1059388851t_unit > $o ) > ( message_p_v > config256849571t_unit > $o ) > config256849571t_unit ).
thf(func_def_510,type,
sK428: ( list_message_p_v > list_c1059388851t_unit > $o ) > ( message_p_v > config256849571t_unit > $o ) > list_message_p_v ).
thf(func_def_511,type,
sK429: ( list_message_p_v > list_c1059388851t_unit > $o ) > ( message_p_v > config256849571t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_512,type,
sK430: ( list_message_p_v > list_message_p_v > $o ) > ( message_p_v > message_p_v > $o ) > message_p_v ).
thf(func_def_513,type,
sK431: ( list_message_p_v > list_message_p_v > $o ) > ( message_p_v > message_p_v > $o ) > message_p_v ).
thf(func_def_514,type,
sK432: ( list_message_p_v > list_message_p_v > $o ) > ( message_p_v > message_p_v > $o ) > list_message_p_v ).
thf(func_def_515,type,
sK433: ( list_message_p_v > list_message_p_v > $o ) > ( message_p_v > message_p_v > $o ) > list_message_p_v ).
thf(func_def_516,type,
sK434: ( config256849571t_unit > config256849571t_unit > $o ) > ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_517,type,
sK435: ( config256849571t_unit > config256849571t_unit > $o ) > ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_518,type,
sK436: ( config256849571t_unit > config256849571t_unit > $o ) > ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_519,type,
sK437: ( config256849571t_unit > config256849571t_unit > $o ) > ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_520,type,
sK438: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > ( config256849571t_unit > config256849571t_unit > $o ) > config256849571t_unit ).
thf(func_def_521,type,
sK439: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > ( config256849571t_unit > config256849571t_unit > $o ) > config256849571t_unit ).
thf(func_def_522,type,
sK440: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_523,type,
sK441: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_524,type,
sK442: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_525,type,
sK443: ( message_p_v > message_p_v > $o ) > ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_526,type,
sK444: ( message_p_v > message_p_v > $o ) > ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_527,type,
sK445: ( message_p_v > message_p_v > $o ) > ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_528,type,
sK446: ( message_p_v > message_p_v > $o ) > ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_529,type,
sK447: ( list_message_p_v > list_message_p_v > $o ) > ( message_p_v > message_p_v > $o ) > message_p_v ).
thf(func_def_530,type,
sK448: ( list_message_p_v > list_message_p_v > $o ) > ( message_p_v > message_p_v > $o ) > message_p_v ).
thf(func_def_531,type,
sK449: ( list_message_p_v > list_message_p_v > $o ) > ( message_p_v > message_p_v > $o ) > list_message_p_v ).
thf(func_def_532,type,
sK450: ( list_message_p_v > list_message_p_v > $o ) > ( message_p_v > message_p_v > $o ) > list_message_p_v ).
thf(func_def_533,type,
sK451: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_534,type,
sK452: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > config256849571t_unit ).
thf(func_def_535,type,
sK453: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > config256849571t_unit ).
thf(func_def_536,type,
sK454: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_537,type,
sK455: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_538,type,
sK456: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > config256849571t_unit ).
thf(func_def_539,type,
sK457: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > config256849571t_unit ).
thf(func_def_540,type,
sK458: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_541,type,
sK459: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_542,type,
sK460: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > message_p_v ).
thf(func_def_543,type,
sK461: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > message_p_v ).
thf(func_def_544,type,
sK462: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > list_message_p_v ).
thf(func_def_545,type,
sK463: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > list_message_p_v ).
thf(func_def_546,type,
sK464: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > message_p_v ).
thf(func_def_547,type,
sK465: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > message_p_v ).
thf(func_def_548,type,
sK466: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > list_message_p_v ).
thf(func_def_549,type,
sK467: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > list_message_p_v ).
thf(func_def_550,type,
sK468: list_nat > list_nat > nat ).
thf(func_def_551,type,
sK469: list_nat > list_nat > nat ).
thf(func_def_552,type,
sK470: list_nat > list_nat > list_nat ).
thf(func_def_553,type,
sK471: list_nat > list_nat > list_nat ).
thf(func_def_554,type,
sK472: list_nat > list_nat > nat ).
thf(func_def_555,type,
sK473: list_nat > list_nat > nat ).
thf(func_def_556,type,
sK474: list_nat > list_nat > list_nat ).
thf(func_def_557,type,
sK475: list_nat > list_nat > list_nat ).
thf(func_def_558,type,
sK476: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_559,type,
sK477: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_560,type,
sK478: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_561,type,
sK479: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_562,type,
sK480: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_563,type,
sK481: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_564,type,
sK482: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_565,type,
sK483: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_566,type,
sK484: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_567,type,
sK485: list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_568,type,
sK486: list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_569,type,
sK487: list_message_p_v > list_message_p_v > list_message_p_v > message_p_v ).
thf(func_def_570,type,
sK488: list_message_p_v > list_message_p_v > list_message_p_v > list_message_p_v ).
thf(func_def_571,type,
sK489: ( nat > $o ) > nat ).
thf(func_def_572,type,
sK490: nat > nat > nat ).
thf(func_def_573,type,
sK491: nat > nat > nat ).
thf(func_def_574,type,
sK492: ( nat > nat > $o ) > nat ).
thf(func_def_575,type,
sK493: ( nat > nat > $o ) > nat ).
thf(func_def_576,type,
sK494: ( nat > nat > $o ) > nat ).
thf(func_def_577,type,
sK495: ( nat > nat > $o ) > nat ).
thf(func_def_578,type,
sK496: ( nat > $o ) > nat > nat ).
thf(func_def_579,type,
sK497: ( nat > $o ) > nat > nat ).
thf(func_def_580,type,
sK498: ( nat > nat ) > nat ).
thf(func_def_581,type,
sK499: ( nat > nat ) > nat ).
thf(func_def_582,type,
sK500: nat > nat ).
thf(func_def_583,type,
sK501: ( nat > $o ) > nat > nat ).
thf(func_def_584,type,
sK502: list_nat > list_nat > nat ).
thf(func_def_585,type,
sK503: list_nat > list_nat > nat ).
thf(func_def_586,type,
sK504: list_nat > list_nat > list_nat ).
thf(func_def_587,type,
sK505: list_nat > list_nat > list_nat ).
thf(func_def_588,type,
sK506: list_nat > list_nat > nat ).
thf(func_def_589,type,
sK507: list_nat > list_nat > nat ).
thf(func_def_590,type,
sK508: list_nat > list_nat > list_nat ).
thf(func_def_591,type,
sK509: list_nat > list_nat > list_nat ).
thf(func_def_592,type,
sK510: list_nat > nat ).
thf(func_def_593,type,
sK511: list_nat > list_nat ).
thf(func_def_594,type,
sK512: nat ).
thf(func_def_595,type,
sK513: ( nat > $o ) > nat ).
thf(func_def_596,type,
sK514: ( nat > $o ) > nat ).
thf(func_def_597,type,
sK515: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_598,type,
sK516: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_599,type,
sK517: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_600,type,
sK518: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_601,type,
sK519: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_602,type,
sK520: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_603,type,
sK521: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_604,type,
sK522: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_605,type,
sK523: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_606,type,
sK524: list_nat > list_nat > nat ).
thf(func_def_607,type,
sK525: list_nat > list_nat > nat ).
thf(func_def_608,type,
sK526: list_nat > list_nat > list_nat ).
thf(func_def_609,type,
sK527: list_nat > list_nat > list_nat ).
thf(func_def_610,type,
sK528: list_nat > list_nat > nat ).
thf(func_def_611,type,
sK529: list_nat > list_nat > list_nat ).
thf(func_def_612,type,
sK530: list_nat > list_nat > list_nat ).
thf(func_def_613,type,
sK531: list_nat > nat ).
thf(func_def_614,type,
sK532: list_nat > list_nat ).
thf(func_def_615,type,
sK533: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_616,type,
sK534: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_617,type,
sK535: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_618,type,
sK536: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_619,type,
sK537: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_620,type,
sK538: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_621,type,
sK539: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_622,type,
sK540: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_623,type,
sK541: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_624,type,
sK542: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_625,type,
sK543: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_626,type,
sK544: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_627,type,
sK545: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_628,type,
sK546: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_629,type,
sK547: ( list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_630,type,
sK548: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_631,type,
sK549: ( list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_632,type,
sK550: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_633,type,
sK551: ( list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_634,type,
sK552: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_635,type,
sK553: ( list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_636,type,
sK554: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_637,type,
sK555: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_638,type,
sK556: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_639,type,
sK557: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_640,type,
sK558: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_641,type,
sK559: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_642,type,
sK560: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_643,type,
sK561: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_644,type,
sK562: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_645,type,
sK563: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_646,type,
sK564: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_647,type,
sK565: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_648,type,
sK566: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_649,type,
sK567: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_650,type,
sK568: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_651,type,
sK569: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_652,type,
sK570: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_653,type,
sK571: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_654,type,
sK572: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_655,type,
sK573: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_656,type,
sK574: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_657,type,
sK575: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_658,type,
sK576: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_659,type,
sK577: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_660,type,
sK578: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_661,type,
sK579: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_662,type,
sK580: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_663,type,
sK581: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_664,type,
sK582: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_665,type,
sK583: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_666,type,
sK584: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_667,type,
sK585: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_668,type,
sK586: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_669,type,
sK587: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_670,type,
sK588: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_671,type,
sK589: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_672,type,
sK590: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_673,type,
sK591: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_674,type,
sK592: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_675,type,
sK593: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_676,type,
sK594: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_677,type,
sK595: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_678,type,
sK596: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_679,type,
sK597: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_680,type,
sK598: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_681,type,
sK599: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_682,type,
sK600: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_683,type,
sK601: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_684,type,
sK602: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_685,type,
sK603: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_686,type,
sK604: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_687,type,
sK605: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_688,type,
sK606: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_689,type,
sK607: ( nat > $o ) > nat ).
thf(func_def_690,type,
sK608: list_message_p_v > nat > list_message_p_v ).
thf(func_def_691,type,
sK609: list_message_p_v > nat > message_p_v ).
thf(func_def_692,type,
sK610: list_c1059388851t_unit > nat > list_c1059388851t_unit ).
thf(func_def_693,type,
sK611: list_c1059388851t_unit > nat > config256849571t_unit ).
thf(func_def_694,type,
sK612: nat > list_message_p_v > list_message_p_v ).
thf(func_def_695,type,
sK613: nat > list_message_p_v > message_p_v ).
thf(func_def_696,type,
sK614: nat > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_697,type,
sK615: nat > list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_698,type,
sK616: ( nat > $o ) > nat > nat ).
thf(func_def_699,type,
sK617: ( nat > $o ) > nat > nat ).
thf(func_def_700,type,
sK618: nat > nat ).
thf(func_def_701,type,
sK619: ( nat > $o ) > nat > nat ).
thf(func_def_702,type,
sK620: ( nat > $o ) > nat > nat ).
thf(func_def_703,type,
sK621: nat > nat > nat ).
thf(func_def_704,type,
sK622: nat > nat > nat ).
thf(func_def_705,type,
sK623: ( nat > $o ) > nat > nat ).
thf(func_def_706,type,
sK624: ( nat > $o ) > nat > nat ).
thf(func_def_707,type,
sK625: ( nat > $o ) > nat > nat ).
thf(func_def_708,type,
sK626: ( nat > $o ) > nat > nat ).
thf(func_def_709,type,
sK627: list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_710,type,
sK628: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_711,type,
sK629: list_message_p_v > list_message_p_v ).
thf(func_def_712,type,
sK630: list_message_p_v > message_p_v ).
thf(func_def_713,type,
sK631: list_nat > list_nat ).
thf(func_def_714,type,
sK632: list_nat > nat ).
thf(func_def_715,type,
sK633: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_716,type,
sK634: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_717,type,
sK635: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_718,type,
sK636: list_l1619404459ge_p_v > list_message_p_v ).
thf(f2,axiom,
( fe
= ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_fe__def) ).
thf(f3,axiom,
! [X0: config256849571t_unit,X1: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit,X2: list_c1059388851t_unit > list_message_p_v > list_message_p_v] :
( ( fLPThe1519354920_p_v_s @ X0 @ X1 @ X2 @ zero_zero_nat )
= ( cons_c1162654829t_unit @ X0 @ nil_co1338500125t_unit ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_infiniteExecutionCfg_Osimps_I1_J) ).
thf(f342,conjecture,
( ( fe @ zero_zero_nat )
= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f343,negated_conjecture,
( ( fe @ zero_zero_nat )
!= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) ),
inference(negated_conjecture,[status(cth)],[f342]) ).
thf(f830,plain,
( ( fe @ zero_zero_nat )
!= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) ),
inference(flattening,[],[f343]) ).
thf(f1419,plain,
( fe
= ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg ) ),
inference(cnf_transformation,[],[f2]) ).
thf(f1420,plain,
! [X2: list_c1059388851t_unit > list_message_p_v > list_message_p_v,X0: config256849571t_unit,X1: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit] :
( ( fLPThe1519354920_p_v_s @ X0 @ X1 @ X2 @ zero_zero_nat )
= ( cons_c1162654829t_unit @ X0 @ nil_co1338500125t_unit ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f2041,plain,
( ( fe @ zero_zero_nat )
!= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) ),
inference(cnf_transformation,[],[f830]) ).
thf(f2044,plain,
( ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit )
!= ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg @ zero_zero_nat ) ),
inference(definition_unfolding,[],[f2041,f1419]) ).
thf(f2689,definition,
( spl637_15
<=> ! [X4: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit,X5: list_c1059388851t_unit > list_message_p_v > list_message_p_v,X3: config256849571t_unit] :
( ( fLPThe1519354920_p_v_s @ X3 @ X4 @ X5 @ zero_zero_nat )
= ( cons_c1162654829t_unit @ X3 @ nil_co1338500125t_unit ) ) ),
introduced(definition,[new_symbols(definition,[spl637_15])],[avatar_definition]) ).
thf(f2690,plain,
( ! [X3: config256849571t_unit,X4: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit,X5: list_c1059388851t_unit > list_message_p_v > list_message_p_v] :
( ( fLPThe1519354920_p_v_s @ X3 @ X4 @ X5 @ zero_zero_nat )
= ( cons_c1162654829t_unit @ X3 @ nil_co1338500125t_unit ) )
| ~ spl637_15 ),
inference(avatar_component_clause,[],[f2689]) ).
thf(f2695,plain,
spl637_15,
inference(avatar_split_clause,[],[f1420,f2689]) ).
thf(f7816,plain,
( $false
| ~ spl637_15 ),
inference(backward_subsumption_resolution,[],[f2044,f2690]) ).
thf(f7817,plain,
~ spl637_15,
inference(avatar_contradiction_clause,[],[f7816]) ).
cnf(s17,plain,
spl637_15,
inference(sat_conversion,[],[f2695]) ).
cnf(s105,plain,
~ spl637_15,
inference(sat_conversion,[],[f7817]) ).
cnf(s120,plain,
$false,
inference(rat,[],[s17,s105]) ).
thf(f7818,plain,
$false,
inference(avatar_sat_refutation,[],[s120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP058^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.17 % Computer : n008.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Tue Sep 29 19:45:10 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.21 Running first-order model finding
% 0.06/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.72/0.67 % (3640549)Will run a generic schedule for satisfiability detection.
% 2.72/0.67 % (3640558)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=101229842:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.72/0.67 % (3640555)% WARNING: option uhcvi not known.
% 2.72/0.67 % (3640554)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1277501759_2999 on theBenchmark for (2999ds/0Mi)
% 2.72/0.67 % (3640555)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3299666091:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.72/0.67 % (3640557)dis+10_1_sil=32000:sp=arity:random_seed=427613754:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.72/0.67 % (3640556)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2148277668:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.72/0.67 % (3640559)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=439543829:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.72/0.67 % (3640560)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=435092074:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.72/0.67 % (3640558)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.72/0.67 % (3640558)Instruction limit reached!
% 2.72/0.67 % (3640558)------------------------------
% 2.72/0.67 % (3640558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.67 % (3640558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.67 % (3640558)CaDiCaL version: 2.1.3
% 2.72/0.67 % (3640558)Termination reason: Instruction limit
% 2.72/0.67 % (3640558)Termination phase: Property scanning
% 2.72/0.67 % (3640558)Time elapsed: 0.027 s
% 2.72/0.67 % (3640558)Peak memory usage: 12 MB
% 2.72/0.67 % (3640558)Instructions burned: 116 (million)
% 2.72/0.67 % (3640555)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.72/0.67 % (3640568)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=255102428:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.72/0.67 % (3640557)Instruction limit reached!
% 2.72/0.67 % (3640557)------------------------------
% 2.72/0.67 % (3640557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.67 % (3640557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.67 % (3640557)CaDiCaL version: 2.1.3
% 2.72/0.67 % (3640557)Termination reason: Instruction limit
% 2.72/0.67 % (3640557)Termination phase: Property scanning
% 2.72/0.67 % (3640557)Time elapsed: 0.044 s
% 2.72/0.67 % (3640557)Peak memory usage: 12 MB
% 2.72/0.67 % (3640557)Instructions burned: 103 (million)
% 2.72/0.67 % (3640559)Instruction limit reached!
% 2.72/0.67 % (3640559)------------------------------
% 2.72/0.67 % (3640559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.67 % (3640559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.67 % (3640559)CaDiCaL version: 2.1.3
% 2.72/0.67 % (3640559)Termination reason: Instruction limit
% 2.72/0.67 % (3640559)Termination phase: Property scanning
% 2.72/0.67 % (3640559)Time elapsed: 0.055 s
% 2.72/0.67 % (3640559)Peak memory usage: 12 MB
% 2.72/0.67 % (3640559)Instructions burned: 131 (million)
% 2.72/0.67 % (3640570)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3743705702:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.72/0.67 % Exception at run slice level
% 2.72/0.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.72/0.67 % Exception at run slice level
% 2.72/0.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.72/0.67 % (3640555)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.72/0.67 % (3640560)Instruction limit reached!
% 2.72/0.67 % (3640560)------------------------------
% 2.72/0.67 % (3640560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.67 % (3640560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.67 % (3640560)CaDiCaL version: 2.1.3
% 2.72/0.67 % (3640560)Termination reason: Instruction limit
% 2.72/0.67 % (3640560)Termination phase: Property scanning
% 2.72/0.67 % (3640560)Time elapsed: 0.070 s
% 2.72/0.67 % (3640560)Peak memory usage: 12 MB
% 2.72/0.67 % (3640560)Instructions burned: 160 (million)
% 2.72/0.67 % (3640571)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=3529823145:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.72/0.67 % (3640573)ott-21_1_sil=16000:fs=off:random_seed=1009456264:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.72/0.67 % (3640574)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2994474861:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.72/0.67 % (3640575)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2915218209:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.72/0.67 % (3640571)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.72/0.67 % (3640573)Instruction limit reached!
% 2.72/0.67 % (3640573)------------------------------
% 2.72/0.67 % (3640573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.67 % (3640573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.67 % (3640573)CaDiCaL version: 2.1.3
% 2.72/0.67 % (3640573)Termination reason: Instruction limit
% 2.72/0.67 % (3640573)Termination phase: Saturation
% 2.72/0.67 % (3640573)Time elapsed: 0.040 s
% 2.72/0.67 % (3640573)Peak memory usage: 13 MB
% 2.72/0.67 % (3640573)Instructions burned: 184 (million)
% 2.72/0.67 % (3640570)Instruction limit reached!
% 2.72/0.67 % (3640570)------------------------------
% 2.72/0.67 % (3640570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.67 % (3640570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.67 % (3640570)CaDiCaL version: 2.1.3
% 2.72/0.67 % (3640570)Termination reason: Instruction limit
% 2.72/0.67 % (3640570)Termination phase: Property scanning
% 2.72/0.67 % (3640570)Time elapsed: 0.056 s
% 2.72/0.67 % (3640570)Peak memory usage: 12 MB
% 2.72/0.67 % (3640570)Instructions burned: 131 (million)
% 2.72/0.67 % (3640580)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4272769319:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 2.72/0.67 % (3640581)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2753262068:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 2.72/0.67 % (3640571)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.72/0.67 % Exception at run slice level
% 2.72/0.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.72/0.67 % (3640584)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1714523294:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 2.72/0.67 % (3640584)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.72/0.67 % Exception at run slice level
% 2.72/0.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.72/0.67 % (3640586)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1456260088:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 2.72/0.67 % (3640586)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.72/0.67 % (3640574)Instruction limit reached!
% 2.72/0.67 % (3640574)------------------------------
% 2.72/0.67 % (3640574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.67 % (3640574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.67 % (3640574)CaDiCaL version: 2.1.3
% 2.72/0.67 % (3640574)Termination reason: Instruction limit
% 2.72/0.67 % (3640574)Termination phase: Saturation
% 2.72/0.67 % (3640574)Time elapsed: 0.249 s
% 2.72/0.67 % (3640574)Peak memory usage: 15 MB
% 2.72/0.67 % (3640574)Instructions burned: 478 (million)
% 2.72/0.67 % (3640588)fmb+10_1_sil=64000:random_seed=2958505987:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 2.72/0.67 % (3640555) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3640549-3640555"...
% 2.72/0.67 % (3640555)...printing done.
% 2.72/0.67 % (3640555)Refutation found. Thanks to Tanya!
% 2.72/0.67 % SZS status Theorem for theBenchmark
% 2.72/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/0.68 % (3640555)------------------------------
% 2.72/0.68 % (3640555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.68 % (3640555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.68 % (3640555)CaDiCaL version: 2.1.3
% 2.72/0.68 % (3640555)Termination reason: Refutation
% 2.72/0.68 % (3640555)Time elapsed: 0.386 s
% 2.72/0.68 % (3640555)Peak memory usage: 20 MB
% 2.72/0.68 % (3640555)Instructions burned: 795 (million)
% 2.72/0.68 % (3640549)Success in time 0.456 s
% 2.72/0.68 % Vampire exiting
%------------------------------------------------------------------------------