%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:09 AM UTC 2026
% Result : Theorem 0.76s 0.46s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 19 unt; 0 typ; 3 def)
% Number of atoms : 46 ( 18 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 107 ( 17 ~; 13 |; 0 &; 74 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 14 ( 13 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 711 ( 709 usr; 13 con; 0-5 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 19 :)
% 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_67,type,
vOR: $o > $o > $o ).
thf(func_def_68,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_69,type,
vAND: $o > $o > $o ).
thf(func_def_70,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_71,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_72,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_73,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_74,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_75,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_76,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_77,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_78,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_79,type,
vNOT: $o > $o ).
thf(func_def_80,type,
sP0: list_nat > list_nat > $o ).
thf(func_def_81,type,
sP1: list_nat > list_nat > $o ).
thf(func_def_82,type,
sK2: ( nat > $o ) > nat ).
thf(func_def_83,type,
sK3: list_message_p_v > list_message_p_v > list_message_p_v > list_message_p_v ).
thf(func_def_84,type,
sK4: list_message_p_v > list_message_p_v > list_message_p_v > message_p_v ).
thf(func_def_85,type,
sK5: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_86,type,
sK6: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_87,type,
sK7: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_88,type,
sK8: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_89,type,
sK9: ( nat > $o ) > nat ).
thf(func_def_90,type,
sK10: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_91,type,
sK11: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_92,type,
sK12: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_93,type,
sK13: ( list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_94,type,
sK14: ( nat > $o ) > nat ).
thf(func_def_95,type,
sK15: ( nat > $o ) > nat > nat ).
thf(func_def_96,type,
sK16: ( nat > $o ) > nat > nat ).
thf(func_def_97,type,
sK17: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_98,type,
sK18: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_99,type,
sK19: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_100,type,
sK20: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_101,type,
sK21: list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > ( message_p_v > config256849571t_unit ) > message_p_v ).
thf(func_def_102,type,
sK22: list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > ( message_p_v > config256849571t_unit ) > list_message_p_v ).
thf(func_def_103,type,
sK23: ( list_nat > $o ) > nat ).
thf(func_def_104,type,
sK24: ( list_nat > $o ) > list_nat ).
thf(func_def_105,type,
sK25: ( list_nat > $o ) > nat ).
thf(func_def_106,type,
sK26: ( list_nat > $o ) > nat ).
thf(func_def_107,type,
sK27: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_108,type,
sK28: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit > message_p_v ).
thf(func_def_109,type,
sK29: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_110,type,
sK30: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_111,type,
sK31: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_112,type,
sK32: ( ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit > message_p_v ).
thf(func_def_113,type,
sK33: nat > nat > nat ).
thf(func_def_114,type,
sK34: ( list_nat > $o ) > list_nat ).
thf(func_def_115,type,
sK35: ( list_nat > $o ) > nat ).
thf(func_def_116,type,
sK36: ( nat > $o ) > nat > nat ).
thf(func_def_117,type,
sK37: ( nat > $o ) > nat > nat ).
thf(func_def_118,type,
sK38: ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > list_message_p_v > message_p_v ).
thf(func_def_119,type,
sK39: ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > list_message_p_v > list_message_p_v ).
thf(func_def_120,type,
sK40: ( 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_121,type,
sK41: ( 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_122,type,
sK42: ( 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_123,type,
sK43: ( 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_124,type,
sK44: ( 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_125,type,
sK45: ( 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_126,type,
sK46: ( 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_127,type,
sK47: ( 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_128,type,
sK48: ( 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_129,type,
sK49: ( 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_130,type,
sK50: ( 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_131,type,
sK51: ( 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_132,type,
sK52: ( 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_133,type,
sK53: ( 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_134,type,
sK54: ( list_nat > list_message_p_v > $o ) > message_p_v ).
thf(func_def_135,type,
sK55: ( list_nat > list_message_p_v > $o ) > list_nat ).
thf(func_def_136,type,
sK56: ( list_nat > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_137,type,
sK57: ( list_nat > list_message_p_v > $o ) > nat ).
thf(func_def_138,type,
sK58: ( list_nat > list_message_p_v > $o ) > nat ).
thf(func_def_139,type,
sK59: ( list_nat > list_message_p_v > $o ) > list_nat ).
thf(func_def_140,type,
sK60: ( list_nat > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_141,type,
sK61: ( list_nat > list_message_p_v > $o ) > message_p_v ).
thf(func_def_142,type,
sK62: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_143,type,
sK63: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_144,type,
sK64: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_145,type,
sK65: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_146,type,
sK66: list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_147,type,
sK67: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_148,type,
sK68: ( nat > nat > $o ) > nat ).
thf(func_def_149,type,
sK69: ( nat > nat > $o ) > nat ).
thf(func_def_150,type,
sK70: ( nat > nat > $o ) > nat ).
thf(func_def_151,type,
sK71: ( nat > nat > $o ) > nat ).
thf(func_def_152,type,
sK72: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > message_p_v ).
thf(func_def_153,type,
sK73: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > message_p_v ).
thf(func_def_154,type,
sK74: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > list_message_p_v ).
thf(func_def_155,type,
sK75: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > list_message_p_v ).
thf(func_def_156,type,
sK76: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > message_p_v ).
thf(func_def_157,type,
sK77: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > message_p_v ).
thf(func_def_158,type,
sK78: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > list_message_p_v ).
thf(func_def_159,type,
sK79: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > list_message_p_v ).
thf(func_def_160,type,
sK80: nat ).
thf(func_def_161,type,
sK81: list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit ).
thf(func_def_162,type,
sK82: list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit ) > config256849571t_unit ).
thf(func_def_163,type,
sK83: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_164,type,
sK84: ( list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_165,type,
sK85: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_166,type,
sK86: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_167,type,
sK87: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_168,type,
sK88: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_169,type,
sK89: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_170,type,
sK90: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_171,type,
sK91: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_172,type,
sK92: ( list_c1059388851t_unit > list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_173,type,
sK93: ( nat > nat ) > nat ).
thf(func_def_174,type,
sK94: list_nat > list_nat > list_nat ).
thf(func_def_175,type,
sK95: list_nat > list_nat > nat ).
thf(func_def_176,type,
sK96: list_nat > list_nat > nat ).
thf(func_def_177,type,
sK97: list_nat > list_nat > list_nat ).
thf(func_def_178,type,
sK98: list_nat > list_nat ).
thf(func_def_179,type,
sK99: list_nat > nat ).
thf(func_def_180,type,
sK100: list_nat > list_nat > nat ).
thf(func_def_181,type,
sK101: list_nat > list_nat > list_nat ).
thf(func_def_182,type,
sK102: list_nat > list_nat > nat ).
thf(func_def_183,type,
sK103: list_nat > list_nat > list_nat ).
thf(func_def_184,type,
sK104: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_185,type,
sK105: ( list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_186,type,
sK106: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_187,type,
sK107: ( config256849571t_unit > config256849571t_unit > $o ) > ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_188,type,
sK108: ( config256849571t_unit > config256849571t_unit > $o ) > ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_189,type,
sK109: ( config256849571t_unit > config256849571t_unit > $o ) > ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_190,type,
sK110: ( config256849571t_unit > config256849571t_unit > $o ) > ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_191,type,
sK111: ( config256849571t_unit > config256849571t_unit > $o ) > ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_192,type,
sK112: ( config256849571t_unit > config256849571t_unit > $o ) > ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_193,type,
sK113: ( config256849571t_unit > config256849571t_unit > $o ) > ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_194,type,
sK114: ( config256849571t_unit > config256849571t_unit > $o ) > ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_195,type,
sK115: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_196,type,
sK116: ( list_l611321411t_unit > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_197,type,
sK117: ( list_l611321411t_unit > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_198,type,
sK118: ( list_l611321411t_unit > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_199,type,
sK119: ( list_l611321411t_unit > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_200,type,
sK120: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_201,type,
sK121: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_202,type,
sK122: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_203,type,
sK123: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_204,type,
sK124: ( config256849571t_unit > config256849571t_unit > $o ) > ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_205,type,
sK125: ( config256849571t_unit > config256849571t_unit > $o ) > ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_206,type,
sK126: ( config256849571t_unit > config256849571t_unit > $o ) > ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_207,type,
sK127: ( config256849571t_unit > config256849571t_unit > $o ) > ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_208,type,
sK128: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v ).
thf(func_def_209,type,
sK129: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_210,type,
sK130: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_211,type,
sK131: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_212,type,
sK132: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_213,type,
sK133: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_214,type,
sK134: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_215,type,
sK135: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_216,type,
sK136: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_217,type,
sK137: ( list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_218,type,
sK138: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_219,type,
sK139: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_220,type,
sK140: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_221,type,
sK141: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_222,type,
sK142: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_223,type,
sK143: ( list_message_p_v > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_224,type,
sK144: list_nat > nat ).
thf(func_def_225,type,
sK145: list_nat > list_nat ).
thf(func_def_226,type,
sK146: list_c1059388851t_unit > nat > list_c1059388851t_unit ).
thf(func_def_227,type,
sK147: list_c1059388851t_unit > nat > config256849571t_unit ).
thf(func_def_228,type,
sK148: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_229,type,
sK149: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_230,type,
sK150: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_231,type,
sK151: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_232,type,
sK152: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_233,type,
sK153: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_234,type,
sK154: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_235,type,
sK155: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_236,type,
sK156: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_237,type,
sK157: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_238,type,
sK158: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_239,type,
sK159: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_240,type,
sK160: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_241,type,
sK161: nat > nat > nat ).
thf(func_def_242,type,
sK162: nat > nat ).
thf(func_def_243,type,
sK163: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_244,type,
sK164: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_245,type,
sK165: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_246,type,
sK166: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_247,type,
sK167: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_248,type,
sK168: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_249,type,
sK169: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_250,type,
sK170: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_251,type,
sK171: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_252,type,
sK172: ( list_l1619404459ge_p_v > list_nat > $o ) > list_l1619404459ge_p_v ).
thf(func_def_253,type,
sK173: ( list_l1619404459ge_p_v > list_nat > $o ) > list_message_p_v ).
thf(func_def_254,type,
sK174: ( list_l1619404459ge_p_v > list_nat > $o ) > list_message_p_v ).
thf(func_def_255,type,
sK175: ( list_l1619404459ge_p_v > list_nat > $o ) > nat ).
thf(func_def_256,type,
sK176: ( list_l1619404459ge_p_v > list_nat > $o ) > list_l1619404459ge_p_v ).
thf(func_def_257,type,
sK177: ( list_l1619404459ge_p_v > list_nat > $o ) > list_nat ).
thf(func_def_258,type,
sK178: ( list_l1619404459ge_p_v > list_nat > $o ) > list_nat ).
thf(func_def_259,type,
sK179: ( list_l1619404459ge_p_v > list_nat > $o ) > nat ).
thf(func_def_260,type,
sK180: list_c1059388851t_unit > nat > list_c1059388851t_unit ).
thf(func_def_261,type,
sK181: list_c1059388851t_unit > nat > config256849571t_unit ).
thf(func_def_262,type,
sK182: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_263,type,
sK183: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_264,type,
sK184: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_265,type,
sK185: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_266,type,
sK186: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_267,type,
sK187: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_268,type,
sK188: ( ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_l611321411t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_269,type,
sK189: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_270,type,
sK190: ( list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_271,type,
sK191: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_272,type,
sK192: ( list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_273,type,
sK193: ( list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_274,type,
sK194: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_275,type,
sK195: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_276,type,
sK196: ( list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_277,type,
sK197: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_278,type,
sK198: ( list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_279,type,
sK199: list_message_p_v > ( message_p_v > config256849571t_unit > $o ) > list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_280,type,
sK200: list_message_p_v > ( message_p_v > config256849571t_unit > $o ) > list_c1059388851t_unit > list_message_p_v ).
thf(func_def_281,type,
sK201: list_message_p_v > ( message_p_v > config256849571t_unit > $o ) > list_c1059388851t_unit > message_p_v ).
thf(func_def_282,type,
sK202: list_message_p_v > ( message_p_v > config256849571t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_283,type,
sK203: ( nat > $o ) > nat ).
thf(func_def_284,type,
sK204: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_285,type,
sK205: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_286,type,
sK206: list_message_p_v > message_p_v ).
thf(func_def_287,type,
sK207: list_message_p_v > list_message_p_v ).
thf(func_def_288,type,
sK208: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_289,type,
sK209: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_290,type,
sK210: ( ( nat > nat ) > list_nat > list_nat > $o ) > list_nat ).
thf(func_def_291,type,
sK211: ( ( nat > nat ) > list_nat > list_nat > $o ) > list_nat ).
thf(func_def_292,type,
sK212: ( ( nat > nat ) > list_nat > list_nat > $o ) > nat ).
thf(func_def_293,type,
sK213: ( ( nat > nat ) > list_nat > list_nat > $o ) > nat > nat ).
thf(func_def_294,type,
sK214: ( ( nat > nat ) > list_nat > list_nat > $o ) > nat > nat ).
thf(func_def_295,type,
sK215: ( ( nat > nat ) > list_nat > list_nat > $o ) > list_nat ).
thf(func_def_296,type,
sK216: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_297,type,
sK217: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_298,type,
sK218: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_299,type,
sK219: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_300,type,
sK220: nat > nat ).
thf(func_def_301,type,
sK221: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v ).
thf(func_def_302,type,
sK222: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_303,type,
sK223: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_304,type,
sK224: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v ).
thf(func_def_305,type,
sK225: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v ).
thf(func_def_306,type,
sK226: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_307,type,
sK227: ( ( message_p_v > message_p_v > $o ) > list_message_p_v > $o ) > message_p_v > message_p_v > $o ).
thf(func_def_308,type,
sK228: ( nat > $o ) > nat > nat ).
thf(func_def_309,type,
sK229: ( nat > $o ) > nat > nat ).
thf(func_def_310,type,
sK230: config256849571t_unit > nat > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > list_c1059388851t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > nat ).
thf(func_def_311,type,
sK231: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_312,type,
sK232: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_313,type,
sK233: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_314,type,
sK234: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_315,type,
sK235: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_316,type,
sK236: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_317,type,
sK237: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > message_p_v > message_p_v ).
thf(func_def_318,type,
sK238: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_319,type,
sK239: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_320,type,
sK240: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_321,type,
sK241: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_322,type,
sK242: ( ( message_p_v > message_p_v ) > list_message_p_v > list_message_p_v > $o ) > message_p_v > message_p_v ).
thf(func_def_323,type,
sK243: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_324,type,
sK244: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_325,type,
sK245: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_326,type,
sK246: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_327,type,
sK247: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_328,type,
sK248: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_329,type,
sK249: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_330,type,
sK250: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_331,type,
sK251: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_332,type,
sK252: ( list_message_p_v > list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_333,type,
sK253: ( message_p_v > config256849571t_unit > $o ) > ( list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_334,type,
sK254: ( message_p_v > config256849571t_unit > $o ) > ( list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_335,type,
sK255: ( message_p_v > config256849571t_unit > $o ) > ( list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_336,type,
sK256: ( message_p_v > config256849571t_unit > $o ) > ( list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_337,type,
sK257: nat > ( nat > $o ) > nat ).
thf(func_def_338,type,
sK258: nat > ( nat > $o ) > nat ).
thf(func_def_339,type,
sK259: ( ( nat > nat > $o ) > list_nat > $o ) > nat ).
thf(func_def_340,type,
sK260: ( ( nat > nat > $o ) > list_nat > $o ) > nat > nat > $o ).
thf(func_def_341,type,
sK261: ( ( nat > nat > $o ) > list_nat > $o ) > nat > nat > $o ).
thf(func_def_342,type,
sK262: ( ( nat > nat > $o ) > list_nat > $o ) > list_nat ).
thf(func_def_343,type,
sK263: ( ( nat > nat > $o ) > list_nat > $o ) > nat ).
thf(func_def_344,type,
sK264: ( ( nat > nat > $o ) > list_nat > $o ) > nat ).
thf(func_def_345,type,
sK265: ( ( nat > nat > $o ) > list_nat > $o ) > nat > nat > $o ).
thf(func_def_346,type,
sK266: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_347,type,
sK267: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_348,type,
sK268: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_349,type,
sK269: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_350,type,
sK270: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_351,type,
sK271: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_352,type,
sK272: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_353,type,
sK273: ( list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_354,type,
sK274: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_355,type,
sK275: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > config256849571t_unit ).
thf(func_def_356,type,
sK276: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > config256849571t_unit ).
thf(func_def_357,type,
sK277: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_358,type,
sK278: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > config256849571t_unit ).
thf(func_def_359,type,
sK279: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > config256849571t_unit ).
thf(func_def_360,type,
sK280: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_361,type,
sK281: list_c1059388851t_unit > list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_362,type,
sK282: ( ( nat > nat > $o ) > list_nat > $o ) > nat > nat > $o ).
thf(func_def_363,type,
sK283: ( ( nat > nat > $o ) > list_nat > $o ) > list_nat ).
thf(func_def_364,type,
sK284: ( ( nat > nat > $o ) > list_nat > $o ) > nat ).
thf(func_def_365,type,
sK285: ( ( nat > nat > $o ) > list_nat > $o ) > nat > nat > $o ).
thf(func_def_366,type,
sK286: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_367,type,
sK287: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_368,type,
sK288: nat > ( nat > $o ) > nat ).
thf(func_def_369,type,
sK289: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_370,type,
sK290: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_371,type,
sK291: list_l1619404459ge_p_v > message_p_v ).
thf(func_def_372,type,
sK292: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_373,type,
sK293: list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_374,type,
sK294: list_c1059388851t_unit > list_c1059388851t_unit > list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_375,type,
sK295: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_376,type,
sK296: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_377,type,
sK297: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_378,type,
sK298: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_379,type,
sK299: list_nat > list_nat > nat ).
thf(func_def_380,type,
sK300: list_nat > list_nat > nat ).
thf(func_def_381,type,
sK301: list_nat > list_nat > list_nat ).
thf(func_def_382,type,
sK302: list_nat > list_nat > list_nat ).
thf(func_def_383,type,
sK303: list_nat > list_nat > nat ).
thf(func_def_384,type,
sK304: list_nat > list_nat > list_nat ).
thf(func_def_385,type,
sK305: list_nat > list_nat > nat ).
thf(func_def_386,type,
sK306: list_nat > list_nat > list_nat ).
thf(func_def_387,type,
sK307: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_388,type,
sK308: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_389,type,
sK309: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_390,type,
sK310: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_391,type,
sK311: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_392,type,
sK312: ( list_message_p_v > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_393,type,
sK313: ( 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_394,type,
sK314: ( 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_395,type,
sK315: ( 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_396,type,
sK316: ( 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_397,type,
sK317: ( 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_398,type,
sK318: ( 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_399,type,
sK319: ( 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_400,type,
sK320: ( 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_401,type,
sK321: ( 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_402,type,
sK322: ( 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_403,type,
sK323: ( 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_404,type,
sK324: ( 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_405,type,
sK325: ( 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_406,type,
sK326: ( 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_407,type,
sK327: ( list_nat > $o ) > nat ).
thf(func_def_408,type,
sK328: ( list_nat > $o ) > list_nat ).
thf(func_def_409,type,
sK329: ( list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_410,type,
sK330: ( list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_411,type,
sK331: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_412,type,
sK332: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_413,type,
sK333: ( list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_414,type,
sK334: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_415,type,
sK335: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_416,type,
sK336: ( list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_417,type,
sK337: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_418,type,
sK338: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_419,type,
sK339: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_420,type,
sK340: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_421,type,
sK341: ( list_c1059388851t_unit > list_message_p_v > $o ) > ( config256849571t_unit > message_p_v > $o ) > message_p_v ).
thf(func_def_422,type,
sK342: ( list_c1059388851t_unit > list_message_p_v > $o ) > ( config256849571t_unit > message_p_v > $o ) > list_message_p_v ).
thf(func_def_423,type,
sK343: ( list_c1059388851t_unit > list_message_p_v > $o ) > ( config256849571t_unit > message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_424,type,
sK344: ( list_c1059388851t_unit > list_message_p_v > $o ) > ( config256849571t_unit > message_p_v > $o ) > config256849571t_unit ).
thf(func_def_425,type,
sK345: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_426,type,
sK346: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_427,type,
sK347: ( list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_428,type,
sK348: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_429,type,
sK349: list_message_p_v > nat > list_message_p_v ).
thf(func_def_430,type,
sK350: list_message_p_v > nat > message_p_v ).
thf(func_def_431,type,
sK351: ( ( nat > list_message_p_v ) > list_nat > list_l1619404459ge_p_v > $o ) > nat > list_message_p_v ).
thf(func_def_432,type,
sK352: ( ( nat > list_message_p_v ) > list_nat > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_433,type,
sK353: ( ( nat > list_message_p_v ) > list_nat > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_434,type,
sK354: ( ( nat > list_message_p_v ) > list_nat > list_l1619404459ge_p_v > $o ) > list_nat ).
thf(func_def_435,type,
sK355: ( ( nat > list_message_p_v ) > list_nat > list_l1619404459ge_p_v > $o ) > nat > list_message_p_v ).
thf(func_def_436,type,
sK356: ( ( nat > list_message_p_v ) > list_nat > list_l1619404459ge_p_v > $o ) > nat ).
thf(func_def_437,type,
sK357: list_nat > nat ).
thf(func_def_438,type,
sK358: list_nat > nat ).
thf(func_def_439,type,
sK359: list_nat > list_nat ).
thf(func_def_440,type,
sK360: list_nat > nat ).
thf(func_def_441,type,
sK361: list_nat > nat ).
thf(func_def_442,type,
sK362: list_nat > list_nat ).
thf(func_def_443,type,
sK363: ( ( message_p_v > nat ) > list_message_p_v > list_nat > $o ) > message_p_v > nat ).
thf(func_def_444,type,
sK364: ( ( message_p_v > nat ) > list_message_p_v > list_nat > $o ) > list_nat ).
thf(func_def_445,type,
sK365: ( ( message_p_v > nat ) > list_message_p_v > list_nat > $o ) > message_p_v ).
thf(func_def_446,type,
sK366: ( ( message_p_v > nat ) > list_message_p_v > list_nat > $o ) > list_message_p_v ).
thf(func_def_447,type,
sK367: ( ( message_p_v > nat ) > list_message_p_v > list_nat > $o ) > list_nat ).
thf(func_def_448,type,
sK368: ( ( message_p_v > nat ) > list_message_p_v > list_nat > $o ) > message_p_v > nat ).
thf(func_def_449,type,
sK369: list_nat > nat ).
thf(func_def_450,type,
sK370: list_nat > list_nat ).
thf(func_def_451,type,
sK371: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_452,type,
sK372: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_453,type,
sK373: nat > nat > nat ).
thf(func_def_454,type,
sK374: ( list_c1059388851t_unit > list_nat > $o ) > list_c1059388851t_unit ).
thf(func_def_455,type,
sK375: ( list_c1059388851t_unit > list_nat > $o ) > nat ).
thf(func_def_456,type,
sK376: ( list_c1059388851t_unit > list_nat > $o ) > list_nat ).
thf(func_def_457,type,
sK377: ( list_c1059388851t_unit > list_nat > $o ) > config256849571t_unit ).
thf(func_def_458,type,
sK378: ( list_c1059388851t_unit > list_nat > $o ) > list_nat ).
thf(func_def_459,type,
sK379: ( list_c1059388851t_unit > list_nat > $o ) > nat ).
thf(func_def_460,type,
sK380: ( list_c1059388851t_unit > list_nat > $o ) > list_c1059388851t_unit ).
thf(func_def_461,type,
sK381: ( list_c1059388851t_unit > list_nat > $o ) > config256849571t_unit ).
thf(func_def_462,type,
sK382: ( list_nat > $o ) > nat ).
thf(func_def_463,type,
sK383: ( list_nat > $o ) > list_nat ).
thf(func_def_464,type,
sK384: nat > nat ).
thf(func_def_465,type,
sK385: list_message_p_v > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > config256849571t_unit > nat ).
thf(func_def_466,type,
sK386: ( ( list_message_p_v > nat ) > list_l1619404459ge_p_v > list_nat > $o ) > list_nat ).
thf(func_def_467,type,
sK387: ( ( list_message_p_v > nat ) > list_l1619404459ge_p_v > list_nat > $o ) > list_message_p_v > nat ).
thf(func_def_468,type,
sK388: ( ( list_message_p_v > nat ) > list_l1619404459ge_p_v > list_nat > $o ) > list_message_p_v > nat ).
thf(func_def_469,type,
sK389: ( ( list_message_p_v > nat ) > list_l1619404459ge_p_v > list_nat > $o ) > list_l1619404459ge_p_v ).
thf(func_def_470,type,
sK390: ( ( list_message_p_v > nat ) > list_l1619404459ge_p_v > list_nat > $o ) > list_message_p_v ).
thf(func_def_471,type,
sK391: ( ( list_message_p_v > nat ) > list_l1619404459ge_p_v > list_nat > $o ) > list_nat ).
thf(func_def_472,type,
sK392: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_473,type,
sK393: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_474,type,
sK394: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_475,type,
sK395: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_476,type,
sK396: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_477,type,
sK397: ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_478,type,
sK398: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_479,type,
sK399: ( list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_480,type,
sK400: list_message_p_v > message_p_v ).
thf(func_def_481,type,
sK401: list_message_p_v > list_message_p_v ).
thf(func_def_482,type,
sK402: list_nat > list_nat > nat ).
thf(func_def_483,type,
sK403: list_nat > list_nat > nat ).
thf(func_def_484,type,
sK404: list_nat > list_nat > list_nat ).
thf(func_def_485,type,
sK405: list_nat > list_nat > list_nat ).
thf(func_def_486,type,
sK406: list_nat > list_nat > nat ).
thf(func_def_487,type,
sK407: list_nat > list_nat > list_nat ).
thf(func_def_488,type,
sK408: list_nat > list_nat > list_nat ).
thf(func_def_489,type,
sK409: list_nat > list_nat ).
thf(func_def_490,type,
sK410: list_nat > nat ).
thf(func_def_491,type,
sK411: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_492,type,
sK412: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_493,type,
sK413: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_494,type,
sK414: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_495,type,
sK415: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_496,type,
sK416: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_497,type,
sK417: ( ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit > $o ).
thf(func_def_498,type,
sK418: config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > list_message_p_v > nat > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat ).
thf(func_def_499,type,
sK419: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_500,type,
sK420: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_501,type,
sK421: list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_502,type,
sK422: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_503,type,
sK423: list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_504,type,
sK424: list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_505,type,
sK425: list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_506,type,
sK426: list_c1059388851t_unit > ( config256849571t_unit > config256849571t_unit > $o ) > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_507,type,
sK427: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_508,type,
sK428: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_509,type,
sK429: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_510,type,
sK430: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_511,type,
sK431: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_512,type,
sK432: ( list_c1059388851t_unit > list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_513,type,
sK433: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_514,type,
sK434: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_515,type,
sK435: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_516,type,
sK436: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_517,type,
sK437: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_518,type,
sK438: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_519,type,
sK439: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_520,type,
sK440: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_521,type,
sK441: ( message_p_v > message_p_v > $o ) > ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_522,type,
sK442: ( message_p_v > message_p_v > $o ) > ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_523,type,
sK443: ( message_p_v > message_p_v > $o ) > ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_524,type,
sK444: ( message_p_v > message_p_v > $o ) > ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_525,type,
sK445: list_l1619404459ge_p_v > list_message_p_v ).
thf(func_def_526,type,
sK446: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).
thf(func_def_527,type,
sK447: ( nat > nat > $o ) > nat ).
thf(func_def_528,type,
sK448: ( nat > nat > $o ) > nat ).
thf(func_def_529,type,
sK449: ( nat > nat > $o ) > nat ).
thf(func_def_530,type,
sK450: ( nat > nat > $o ) > nat ).
thf(func_def_531,type,
sK451: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_532,type,
sK452: ( list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_533,type,
sK453: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_534,type,
sK454: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_535,type,
sK455: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_536,type,
sK456: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_537,type,
sK457: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_538,type,
sK458: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_539,type,
sK459: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_540,type,
sK460: ( nat > $o ) > nat > nat ).
thf(func_def_541,type,
sK461: ( nat > $o ) > nat > nat ).
thf(func_def_542,type,
sK462: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_543,type,
sK463: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit ).
thf(func_def_544,type,
sK464: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_545,type,
sK465: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit > config256849571t_unit ).
thf(func_def_546,type,
sK466: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_547,type,
sK467: ( ( config256849571t_unit > config256849571t_unit ) > list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_548,type,
sK468: list_nat > list_nat ).
thf(func_def_549,type,
sK469: list_nat > nat ).
thf(func_def_550,type,
sK470: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_551,type,
sK471: list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_552,type,
sK472: nat > nat ).
thf(func_def_553,type,
sK473: list_message_p_v > ( config256849571t_unit > message_p_v > $o ) > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_554,type,
sK474: list_message_p_v > ( config256849571t_unit > message_p_v > $o ) > list_c1059388851t_unit > message_p_v ).
thf(func_def_555,type,
sK475: list_message_p_v > ( config256849571t_unit > message_p_v > $o ) > list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_556,type,
sK476: list_message_p_v > ( config256849571t_unit > message_p_v > $o ) > list_c1059388851t_unit > list_message_p_v ).
thf(func_def_557,type,
sK477: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_558,type,
sK478: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_559,type,
sK479: ( ( 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_560,type,
sK480: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_561,type,
sK481: ( ( 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_562,type,
sK482: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_563,type,
sK483: ( ( 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_564,type,
sK484: ( nat > $o ) > nat ).
thf(func_def_565,type,
sK485: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_566,type,
sK486: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_567,type,
sK487: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_568,type,
sK488: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_569,type,
sK489: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_570,type,
sK490: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_571,type,
sK491: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_572,type,
sK492: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_573,type,
sK493: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_574,type,
sK494: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_575,type,
sK495: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_576,type,
sK496: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_577,type,
sK497: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_578,type,
sK498: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_579,type,
sK499: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_580,type,
sK500: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_581,type,
sK501: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_582,type,
sK502: ( list_nat > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_583,type,
sK503: ( list_nat > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_584,type,
sK504: ( list_nat > list_l1619404459ge_p_v > $o ) > list_nat ).
thf(func_def_585,type,
sK505: ( list_nat > list_l1619404459ge_p_v > $o ) > nat ).
thf(func_def_586,type,
sK506: ( list_nat > list_l1619404459ge_p_v > $o ) > nat ).
thf(func_def_587,type,
sK507: ( list_nat > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_588,type,
sK508: ( list_nat > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_589,type,
sK509: ( list_nat > list_l1619404459ge_p_v > $o ) > list_nat ).
thf(func_def_590,type,
sK510: ( ( nat > message_p_v ) > list_nat > list_message_p_v > $o ) > nat > message_p_v ).
thf(func_def_591,type,
sK511: ( ( nat > message_p_v ) > list_nat > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_592,type,
sK512: ( ( nat > message_p_v ) > list_nat > list_message_p_v > $o ) > list_nat ).
thf(func_def_593,type,
sK513: ( ( nat > message_p_v ) > list_nat > list_message_p_v > $o ) > nat > message_p_v ).
thf(func_def_594,type,
sK514: ( ( nat > message_p_v ) > list_nat > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_595,type,
sK515: ( ( nat > message_p_v ) > list_nat > list_message_p_v > $o ) > nat ).
thf(func_def_596,type,
sK516: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_597,type,
sK517: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_598,type,
sK518: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_599,type,
sK519: ( list_c1059388851t_unit > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_600,type,
sK520: nat > nat > nat ).
thf(func_def_601,type,
sK521: ( list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_602,type,
sK522: ( list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_603,type,
sK523: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_604,type,
sK524: ( list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_605,type,
sK525: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_606,type,
sK526: ( list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_607,type,
sK527: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_608,type,
sK528: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_609,type,
sK529: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_610,type,
sK530: ( list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_611,type,
sK531: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_612,type,
sK532: ( list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_613,type,
sK533: list_list_nat > list_nat ).
thf(func_def_614,type,
sK534: list_list_nat > nat ).
thf(func_def_615,type,
sK535: list_list_nat > list_list_nat ).
thf(func_def_616,type,
sK536: list_list_nat > list_list_nat ).
thf(func_def_617,type,
sK537: ( nat > $o ) > nat ).
thf(func_def_618,type,
sK538: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_619,type,
sK539: ( list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_620,type,
sK540: ( list_nat > $o ) > list_nat ).
thf(func_def_621,type,
sK541: ( list_nat > $o ) > nat ).
thf(func_def_622,type,
sK542: ( list_nat > $o ) > nat ).
thf(func_def_623,type,
sK543: ( list_nat > $o ) > nat ).
thf(func_def_624,type,
sK544: ( list_nat > $o ) > list_nat ).
thf(func_def_625,type,
sK545: ( list_nat > $o ) > nat ).
thf(func_def_626,type,
sK546: ( list_nat > $o ) > nat ).
thf(func_def_627,type,
sK547: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_628,type,
sK548: ( message_p_v > message_p_v > $o ) > ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_629,type,
sK549: ( message_p_v > message_p_v > $o ) > ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_630,type,
sK550: ( message_p_v > message_p_v > $o ) > ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_631,type,
sK551: ( message_p_v > message_p_v > $o ) > ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_632,type,
sK552: ( message_p_v > message_p_v > $o ) > ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_633,type,
sK553: ( message_p_v > message_p_v > $o ) > ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_634,type,
sK554: ( message_p_v > message_p_v > $o ) > ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_635,type,
sK555: ( message_p_v > message_p_v > $o ) > ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_636,type,
sK556: ( list_message_p_v > list_nat > $o ) > list_message_p_v ).
thf(func_def_637,type,
sK557: ( list_message_p_v > list_nat > $o ) > message_p_v ).
thf(func_def_638,type,
sK558: ( list_message_p_v > list_nat > $o ) > nat ).
thf(func_def_639,type,
sK559: ( list_message_p_v > list_nat > $o ) > list_nat ).
thf(func_def_640,type,
sK560: ( list_message_p_v > list_nat > $o ) > list_message_p_v ).
thf(func_def_641,type,
sK561: ( list_message_p_v > list_nat > $o ) > message_p_v ).
thf(func_def_642,type,
sK562: ( list_message_p_v > list_nat > $o ) > nat ).
thf(func_def_643,type,
sK563: ( list_message_p_v > list_nat > $o ) > list_nat ).
thf(func_def_644,type,
sK564: nat > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > config256849571t_unit > list_c1059388851t_unit > nat ).
thf(func_def_645,type,
sK565: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_646,type,
sK566: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v > config256849571t_unit ).
thf(func_def_647,type,
sK567: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_648,type,
sK568: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_649,type,
sK569: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v > config256849571t_unit ).
thf(func_def_650,type,
sK570: ( ( message_p_v > config256849571t_unit ) > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_651,type,
sK571: ( nat > $o ) > nat ).
thf(func_def_652,type,
sK572: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_653,type,
sK573: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_654,type,
sK574: ( list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_655,type,
sK575: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_656,type,
sK576: ( nat > nat ) > nat ).
thf(func_def_657,type,
sK577: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_658,type,
sK578: ( list_l611321411t_unit > $o ) > list_l611321411t_unit ).
thf(func_def_659,type,
sK579: ( list_l611321411t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_660,type,
sK580: ( ( nat > config256849571t_unit ) > list_nat > list_c1059388851t_unit > $o ) > nat ).
thf(func_def_661,type,
sK581: ( ( nat > config256849571t_unit ) > list_nat > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_662,type,
sK582: ( ( nat > config256849571t_unit ) > list_nat > list_c1059388851t_unit > $o ) > nat > config256849571t_unit ).
thf(func_def_663,type,
sK583: ( ( nat > config256849571t_unit ) > list_nat > list_c1059388851t_unit > $o ) > list_nat ).
thf(func_def_664,type,
sK584: ( ( nat > config256849571t_unit ) > list_nat > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_665,type,
sK585: ( ( nat > config256849571t_unit ) > list_nat > list_c1059388851t_unit > $o ) > nat > config256849571t_unit ).
thf(func_def_666,type,
sK586: list_message_p_v > message_p_v ).
thf(func_def_667,type,
sK587: list_message_p_v > message_p_v ).
thf(func_def_668,type,
sK588: list_message_p_v > message_p_v ).
thf(func_def_669,type,
sK589: list_message_p_v > list_message_p_v ).
thf(func_def_670,type,
sK590: list_message_p_v > nat > message_p_v ).
thf(func_def_671,type,
sK591: list_message_p_v > nat > list_message_p_v ).
thf(func_def_672,type,
sK592: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_673,type,
sK593: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_674,type,
sK594: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_675,type,
sK595: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_676,type,
sK596: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_677,type,
sK597: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_678,type,
sK598: ( list_message_p_v > list_message_p_v > $o ) > message_p_v ).
thf(func_def_679,type,
sK599: ( list_message_p_v > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_680,type,
sK600: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_681,type,
sK601: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_682,type,
sK602: ( list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_683,type,
sK603: ( list_message_p_v > $o ) > message_p_v ).
thf(func_def_684,type,
sK604: ( list_c1059388851t_unit > list_message_p_v > $o ) > config256849571t_unit ).
thf(func_def_685,type,
sK605: ( list_c1059388851t_unit > list_message_p_v > $o ) > message_p_v ).
thf(func_def_686,type,
sK606: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_c1059388851t_unit ).
thf(func_def_687,type,
sK607: ( list_c1059388851t_unit > list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_688,type,
sK608: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_689,type,
sK609: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > message_p_v ).
thf(func_def_690,type,
sK610: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_691,type,
sK611: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > list_message_p_v ).
thf(func_def_692,type,
sK612: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > config256849571t_unit ).
thf(func_def_693,type,
sK613: ( list_message_p_v > list_message_p_v > list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_694,type,
sK614: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > message_p_v ).
thf(func_def_695,type,
sK615: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > message_p_v ).
thf(func_def_696,type,
sK616: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > list_message_p_v ).
thf(func_def_697,type,
sK617: list_message_p_v > list_message_p_v > ( message_p_v > message_p_v > $o ) > list_message_p_v ).
thf(func_def_698,type,
sK618: list_l611321411t_unit > config256849571t_unit ).
thf(func_def_699,type,
sK619: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_700,type,
sK620: list_l611321411t_unit > list_c1059388851t_unit ).
thf(func_def_701,type,
sK621: list_l611321411t_unit > list_l611321411t_unit ).
thf(func_def_702,type,
sK622: ( ( 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_703,type,
sK623: ( ( 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_704,type,
sK624: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_l1619404459ge_p_v ).
thf(func_def_705,type,
sK625: ( ( list_message_p_v > list_message_p_v > $o ) > list_l1619404459ge_p_v > $o ) > list_message_p_v ).
thf(func_def_706,type,
sK626: list_message_p_v > list_message_p_v > ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(func_def_707,type,
sK627: list_message_p_v > list_message_p_v > ( config256849571t_unit > message_p_v ) > list_c1059388851t_unit > config256849571t_unit ).
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,
! [X1: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit,X0: config256849571t_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(f800,plain,
( ( fe @ zero_zero_nat )
!= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) ),
inference(flattening,[],[f343]) ).
thf(f860,plain,
! [X1: config256849571t_unit,X2: list_c1059388851t_unit > list_message_p_v > list_message_p_v,X0: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit] :
( ( cons_c1162654829t_unit @ X1 @ nil_co1338500125t_unit )
= ( fLPThe1519354920_p_v_s @ X1 @ X0 @ X2 @ zero_zero_nat ) ),
inference(rectify,[],[f3]) ).
thf(f1585,plain,
! [X0: config256849571t_unit,X1: list_c1059388851t_unit > list_message_p_v > list_message_p_v,X2: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit] :
( ( cons_c1162654829t_unit @ X0 @ nil_co1338500125t_unit )
= ( fLPThe1519354920_p_v_s @ X0 @ X2 @ X1 @ zero_zero_nat ) ),
inference(rectify,[],[f860]) ).
thf(f2258,plain,
( fe
= ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg ) ),
inference(cnf_transformation,[],[f2]) ).
thf(f2313,plain,
! [X2: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit,X0: config256849571t_unit,X1: list_c1059388851t_unit > list_message_p_v > list_message_p_v] :
( ( cons_c1162654829t_unit @ X0 @ nil_co1338500125t_unit )
= ( fLPThe1519354920_p_v_s @ X0 @ X2 @ X1 @ zero_zero_nat ) ),
inference(cnf_transformation,[],[f1585]) ).
thf(f2330,plain,
( ( fe @ zero_zero_nat )
!= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) ),
inference(cnf_transformation,[],[f800]) ).
thf(f2513,definition,
( spl628_1
<=> ! [X4: list_c1059388851t_unit > list_message_p_v > list_message_p_v,X5: config256849571t_unit,X1: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit] :
( ( fLPThe1519354920_p_v_s @ X5 @ X1 @ X4 @ zero_zero_nat )
= ( cons_c1162654829t_unit @ X5 @ nil_co1338500125t_unit ) ) ),
introduced(definition,[new_symbols(definition,[spl628_1])],[avatar_definition]) ).
thf(f2514,plain,
( ! [X1: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit,X4: list_c1059388851t_unit > list_message_p_v > list_message_p_v,X5: config256849571t_unit] :
( ( fLPThe1519354920_p_v_s @ X5 @ X1 @ X4 @ zero_zero_nat )
= ( cons_c1162654829t_unit @ X5 @ nil_co1338500125t_unit ) )
| ~ spl628_1 ),
inference(avatar_component_clause,[],[f2513]) ).
thf(f2529,definition,
( spl628_5
<=> ( ( fe @ zero_zero_nat )
= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) ) ),
introduced(definition,[new_symbols(definition,[spl628_5])],[avatar_definition]) ).
thf(f2531,plain,
( ( ( fe @ zero_zero_nat )
!= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) )
| spl628_5 ),
inference(avatar_component_clause,[],[f2529]) ).
thf(f2532,plain,
~ spl628_5,
inference(avatar_split_clause,[],[f2330,f2529]) ).
thf(f2680,definition,
( spl628_37
<=> ( fe
= ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg ) ) ),
introduced(definition,[new_symbols(definition,[spl628_37])],[avatar_definition]) ).
thf(f2682,plain,
( ( fe
= ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg ) )
| ~ spl628_37 ),
inference(avatar_component_clause,[],[f2680]) ).
thf(f2683,plain,
spl628_37,
inference(avatar_split_clause,[],[f2258,f2680]) ).
thf(f2698,plain,
spl628_1,
inference(avatar_split_clause,[],[f2313,f2513]) ).
thf(f2743,plain,
( ! [X1: nat] :
( ( fe @ X1 )
= ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg @ X1 ) )
| ~ spl628_37 ),
inference(argument_congruence,[],[f2682]) ).
thf(f2961,plain,
( ( ( fe @ zero_zero_nat )
= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) )
| ~ spl628_1
| ~ spl628_37 ),
inference(superposition,[],[f2743,f2514]) ).
thf(f2964,plain,
( $false
| ~ spl628_1
| spl628_5
| ~ spl628_37 ),
inference(forward_subsumption_resolution,[],[f2961,f2531]) ).
thf(f2965,plain,
( ~ spl628_1
| spl628_5
| ~ spl628_37 ),
inference(avatar_contradiction_clause,[],[f2964]) ).
cnf(s4,plain,
~ spl628_5,
inference(sat_conversion,[],[f2532]) ).
cnf(s44,plain,
spl628_37,
inference(sat_conversion,[],[f2683]) ).
cnf(s50,plain,
spl628_1,
inference(sat_conversion,[],[f2698]) ).
cnf(s58,plain,
( ~ spl628_1
| spl628_5
| ~ spl628_37 ),
inference(sat_conversion,[],[f2965]) ).
cnf(s59,plain,
spl628_5,
inference(rat,[],[s58,s50,s44]) ).
cnf(s60,plain,
$false,
inference(rat,[],[s4,s59]) ).
thf(f2966,plain,
$false,
inference(avatar_sat_refutation,[],[s60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP058^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n013.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 19:43:51 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.07/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.40 % (2564849)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.76/0.40 % (2564858)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1129256226:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.76/0.40 % (2564860)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.76/0.40 % (2564860)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.76/0.40 % (2564856)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1934529664:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.76/0.40 % (2564854)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=46174934:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.76/0.40 % (2564855)lrs+10_16_si=on:nwc=1.5:random_seed=58827207:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.76/0.40 % (2564860)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2359403803:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.76/0.40 % (2564857)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2311633713:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.76/0.40 % (2564858)Instruction limit reached!
% 0.76/0.40 % (2564858)------------------------------
% 0.76/0.40 % (2564858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (2564858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (2564859)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1388057836:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.76/0.40 % (2564858)CaDiCaL version: 2.1.3
% 0.76/0.40 % (2564858)Termination reason: Instruction limit
% 0.76/0.40 % (2564858)Termination phase: shuffling
% 0.76/0.40 % (2564858)Time elapsed: 0.007 s
% 0.76/0.40 % (2564858)Peak memory usage: 10 MB
% 0.76/0.40 % (2564858)Instructions burned: 27 (million)
% 0.76/0.40 % (2564856)Instruction limit reached!
% 0.76/0.40 % (2564856)------------------------------
% 0.76/0.40 % (2564856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (2564856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (2564856)CaDiCaL version: 2.1.3
% 0.76/0.40 % (2564856)Termination reason: Instruction limit
% 0.76/0.40 % (2564856)Termination phase: shuffling
% 0.76/0.40 % (2564856)Time elapsed: 0.002 s
% 0.76/0.40 % (2564856)Peak memory usage: 10 MB
% 0.76/0.40 % (2564856)Instructions burned: 4 (million)
% 0.76/0.40 % (2564855)Instruction limit reached!
% 0.76/0.40 % (2564855)------------------------------
% 0.76/0.40 % (2564855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (2564855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (2564855)CaDiCaL version: 2.1.3
% 0.76/0.40 % (2564855)Termination reason: Instruction limit
% 0.76/0.40 % (2564855)Termination phase: shuffling
% 0.76/0.40 % (2564855)Time elapsed: 0.009 s
% 0.76/0.40 % (2564855)Peak memory usage: 10 MB
% 0.76/0.40 % (2564855)Instructions burned: 19 (million)
% 0.76/0.40 % (2564868)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2396342467:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.76/0.40 % (2564868)Instruction limit reached!
% 0.76/0.40 % (2564868)------------------------------
% 0.76/0.40 % (2564868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (2564868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (2564868)CaDiCaL version: 2.1.3
% 0.76/0.40 % (2564868)Termination reason: Instruction limit
% 0.76/0.40 % (2564868)Termination phase: shuffling
% 0.76/0.40 % (2564868)Time elapsed: 0.002 s
% 0.76/0.40 % (2564868)Peak memory usage: 10 MB
% 0.76/0.40 % (2564868)Instructions burned: 7 (million)
% 0.76/0.40 % (2564869)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1463660903:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.76/0.43 % (2564869)Instruction limit reached!
% 0.76/0.43 % (2564869)------------------------------
% 0.76/0.43 % (2564869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.43 % (2564869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.43 % (2564869)CaDiCaL version: 2.1.3
% 0.76/0.43 % (2564869)Termination reason: Instruction limit
% 0.76/0.43 % (2564869)Termination phase: shuffling
% 0.76/0.43 % (2564869)Time elapsed: 0.003 s
% 0.76/0.43 % (2564869)Peak memory usage: 10 MB
% 0.76/0.43 % (2564869)Instructions burned: 6 (million)
% 0.76/0.43 % (2564870)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.76/0.43 % (2564872)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1887133743:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.76/0.43 % (2564872)Instruction limit reached!
% 0.76/0.43 % (2564872)------------------------------
% 0.76/0.43 % (2564872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.43 % (2564872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.43 % (2564872)CaDiCaL version: 2.1.3
% 0.76/0.43 % (2564872)Termination reason: Instruction limit
% 0.76/0.43 % (2564872)Termination phase: shuffling
% 0.76/0.43 % (2564872)Time elapsed: 0.003 s
% 0.76/0.43 % (2564872)Peak memory usage: 10 MB
% 0.76/0.43 % (2564872)Instructions burned: 12 (million)
% 0.76/0.43 % (2564870)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3488477002:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.76/0.43 % (2564870)Instruction limit reached!
% 0.76/0.43 % (2564870)------------------------------
% 0.76/0.43 % (2564870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.43 % (2564870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.43 % (2564870)CaDiCaL version: 2.1.3
% 0.76/0.43 % (2564870)Termination reason: Instruction limit
% 0.76/0.43 % (2564870)Termination phase: shuffling
% 0.76/0.43 % (2564870)Time elapsed: 0.004 s
% 0.76/0.43 % (2564870)Peak memory usage: 10 MB
% 0.76/0.43 % (2564870)Instructions burned: 9 (million)
% 0.76/0.43 % (2564859)Instruction limit reached!
% 0.76/0.43 % (2564859)------------------------------
% 0.76/0.43 % (2564859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.43 % (2564859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.43 % (2564859)CaDiCaL version: 2.1.3
% 0.76/0.43 % (2564859)Termination reason: Instruction limit
% 0.76/0.43 % (2564859)Termination phase: Preprocessing 3
% 0.76/0.43 % (2564859)Time elapsed: 0.036 s
% 0.76/0.43 % (2564859)Peak memory usage: 12 MB
% 0.76/0.43 % (2564859)Instructions burned: 76 (million)
% 0.76/0.43 % (2564877)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=685886980:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.76/0.43 % (2564875)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.76/0.43 % (2564875)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.76/0.43 % (2564875)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3093647851:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.76/0.43 % (2564879)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.76/0.43 % (2564878)lrs+10_1_si=on:cs=on:random_seed=450038469:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.76/0.43 % (2564879)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=3853020244:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.76/0.43 % (2564875)Instruction limit reached!
% 0.76/0.43 % (2564875)------------------------------
% 0.76/0.43 % (2564875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.43 % (2564875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2564875)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2564875)Termination reason: Instruction limit
% 0.76/0.46 % (2564875)Termination phase: shuffling
% 0.76/0.46 % (2564875)Time elapsed: 0.013 s
% 0.76/0.46 % (2564875)Peak memory usage: 11 MB
% 0.76/0.46 % (2564875)Instructions burned: 28 (million)
% 0.76/0.46 % (2564878)Instruction limit reached!
% 0.76/0.46 % (2564878)------------------------------
% 0.76/0.46 % (2564878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (2564878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2564878)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2564878)Termination reason: Instruction limit
% 0.76/0.46 % (2564878)Termination phase: shuffling
% 0.76/0.46 % (2564878)Time elapsed: 0.005 s
% 0.76/0.46 % (2564878)Peak memory usage: 10 MB
% 0.76/0.46 % (2564878)Instructions burned: 10 (million)
% 0.76/0.46 % (2564879)Instruction limit reached!
% 0.76/0.46 % (2564879)------------------------------
% 0.76/0.46 % (2564879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (2564879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2564879)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2564879)Termination reason: Instruction limit
% 0.76/0.46 % (2564879)Termination phase: shuffling
% 0.76/0.46 % (2564879)Time elapsed: 0.004 s
% 0.76/0.46 % (2564879)Peak memory usage: 10 MB
% 0.76/0.46 % (2564879)Instructions burned: 7 (million)
% 0.76/0.46 % (2564877)Instruction limit reached!
% 0.76/0.46 % (2564877)------------------------------
% 0.76/0.46 % (2564877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (2564877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2564877)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2564877)Termination reason: Instruction limit
% 0.76/0.46 % (2564877)Termination phase: Property scanning
% 0.76/0.46 % (2564877)Time elapsed: 0.021 s
% 0.76/0.46 % (2564877)Peak memory usage: 11 MB
% 0.76/0.46 % (2564877)Instructions burned: 90 (million)
% 0.76/0.46 % (2564854)Instruction limit reached!
% 0.76/0.46 % (2564854)------------------------------
% 0.76/0.46 % (2564854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (2564854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2564854)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2564854)Termination reason: Instruction limit
% 0.76/0.46 % (2564854)Termination phase: Preprocessing 3
% 0.76/0.46 % (2564854)Time elapsed: 0.067 s
% 0.76/0.46 % (2564854)Peak memory usage: 12 MB
% 0.76/0.46 % (2564854)Instructions burned: 87 (million)
% 0.76/0.46 % (2564860)Instruction limit reached!
% 0.76/0.46 % (2564860)------------------------------
% 0.76/0.46 % (2564860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (2564860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2564860)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2564860)Termination reason: Instruction limit
% 0.76/0.46 % (2564860)Termination phase: Property scanning
% 0.76/0.46 % (2564860)Time elapsed: 0.071 s
% 0.76/0.46 % (2564860)Peak memory usage: 13 MB
% 0.76/0.46 % (2564860)Instructions burned: 158 (million)
% 0.76/0.46 % (2564886)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2653484988:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.76/0.46 % (2564884)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=374193898:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.76/0.46 % (2564886)Instruction limit reached!
% 0.76/0.46 % (2564886)------------------------------
% 0.76/0.46 % (2564886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (2564886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2564886)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2564886)Termination reason: Instruction limit
% 0.76/0.46 % (2564886)Termination phase: shuffling
% 0.76/0.46 % (2564886)Time elapsed: 0.006 s
% 0.76/0.46 % (2564886)Peak memory usage: 10 MB
% 0.76/0.46 % (2564886)Instructions burned: 27 (million)
% 0.76/0.46 % (2564887)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2938807695:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.76/0.46 % (2564885)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=585695824:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.76/0.46 % (2564888)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1179290217:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.76/0.46 % (2564887)Instruction limit reached!
% 0.76/0.46 % (2564887)------------------------------
% 0.76/0.46 % (2564887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (2564887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2564887)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2564887)Termination reason: Instruction limit
% 0.76/0.46 % (2564887)Termination phase: shuffling
% 0.76/0.46 % (2564887)Time elapsed: 0.007 s
% 0.76/0.46 % (2564887)Peak memory usage: 10 MB
% 0.76/0.46 % (2564887)Instructions burned: 15 (million)
% 0.76/0.46 % (2564892)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3450939349:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.76/0.46 % (2564890)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=667972647:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.76/0.46 % (2564892)Instruction limit reached!
% 0.76/0.46 % (2564892)------------------------------
% 0.76/0.46 % (2564892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (2564892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2564892)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2564892)Termination reason: Instruction limit
% 0.76/0.46 % (2564892)Termination phase: shuffling
% 0.76/0.46 % (2564892)Time elapsed: 0.001 s
% 0.76/0.46 % (2564892)Peak memory usage: 10 MB
% 0.76/0.46 % (2564892)Instructions burned: 5 (million)
% 0.76/0.46 % (2564884)Instruction limit reached!
% 0.76/0.46 % (2564884)------------------------------
% 0.76/0.46 % (2564884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (2564884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2564884)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2564884)Termination reason: Instruction limit
% 0.76/0.46 % (2564884)Termination phase: Property scanning
% 0.76/0.46 % (2564884)Time elapsed: 0.017 s
% 0.76/0.46 % (2564884)Peak memory usage: 11 MB
% 0.76/0.46 % (2564884)Instructions burned: 39 (million)
% 0.76/0.46 % (2564890)Instruction limit reached!
% 0.76/0.46 % (2564890)------------------------------
% 0.76/0.46 % (2564890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (2564890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2564890)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2564890)Termination reason: Instruction limit
% 0.76/0.46 % (2564890)Termination phase: shuffling
% 0.76/0.46 % (2564890)Time elapsed: 0.007 s
% 0.76/0.46 % (2564890)Peak memory usage: 10 MB
% 0.76/0.46 % (2564890)Instructions burned: 15 (million)
% 0.76/0.46 % (2564899)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1510136246:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.76/0.46 % (2564896)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3224899267:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.76/0.46 % (2564899)Instruction limit reached!
% 0.76/0.46 % (2564899)------------------------------
% 0.76/0.46 % (2564899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (2564899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2564899)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2564899)Termination reason: Instruction limit
% 0.76/0.46 % (2564899)Termination phase: shuffling
% 0.76/0.46 % (2564899)Time elapsed: 0.005 s
% 0.76/0.46 % (2564899)Peak memory usage: 10 MB
% 0.76/0.46 % (2564899)Instructions burned: 24 (million)
% 0.76/0.46 % (2564901)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.76/0.46 % (2564901)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.76/0.46 % (2564900)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1944789443:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.76/0.46 % (2564904)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.76/0.46 % (2564901)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=2495365009:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.76/0.46 % (2564904)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=471075823:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.76/0.46 % (2564896)Instruction limit reached!
% 0.76/0.46 % (2564896)------------------------------
% 0.76/0.46 % (2564896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (2564896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2564896)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2564896)Termination reason: Instruction limit
% 0.76/0.46 % (2564896)Termination phase: shuffling
% 0.76/0.46 % (2564896)Time elapsed: 0.012 s
% 0.76/0.46 % (2564896)Peak memory usage: 11 MB
% 0.76/0.46 % (2564896)Instructions burned: 27 (million)
% 0.76/0.46 % (2564904)Instruction limit reached!
% 0.76/0.46 % (2564904)------------------------------
% 0.76/0.46 % (2564904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (2564904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2564904)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2564904)Termination reason: Instruction limit
% 0.76/0.46 % (2564904)Termination phase: shuffling
% 0.76/0.46 % (2564904)Time elapsed: 0.003 s
% 0.76/0.46 % (2564904)Peak memory usage: 10 MB
% 0.76/0.46 % (2564904)Instructions burned: 12 (million)
% 0.76/0.46 % (2564885)Refutation not found, incomplete strategy
% 0.76/0.46 % (2564885)------------------------------
% 0.76/0.46 % (2564885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (2564885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2564885)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2564885)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.46 % (2564885)Time elapsed: 0.042 s
% 0.76/0.46 % (2564885)Peak memory usage: 14 MB
% 0.76/0.46 % (2564885)Instructions burned: 90 (million)
% 0.76/0.46 % (2564901)Instruction limit reached!
% 0.76/0.46 % (2564901)------------------------------
% 0.76/0.46 % (2564901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (2564901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2564901)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2564901)Termination reason: Instruction limit
% 0.76/0.46 % (2564901)Termination phase: shuffling
% 0.76/0.46 % (2564901)Time elapsed: 0.007 s
% 0.76/0.46 % (2564901)Peak memory usage: 10 MB
% 0.76/0.46 % (2564901)Instructions burned: 14 (million)
% 0.76/0.46 % (2564885)------------------------------
% 0.76/0.46 % (2564885)------------------------------
% 0.76/0.46 % (2564909)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2776615365:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.76/0.46 % (2564909)Instruction limit reached!
% 0.76/0.46 % (2564909)------------------------------
% 0.76/0.46 % (2564909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (2564909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2564909)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2564909)Termination reason: Instruction limit
% 0.76/0.46 % (2564909)Termination phase: shuffling
% 0.76/0.46 % (2564909)Time elapsed: 0.002 s
% 0.76/0.46 % (2564909)Peak memory usage: 10 MB
% 0.76/0.46 % (2564909)Instructions burned: 10 (million)
% 0.76/0.46 % (2564857) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2564849-2564857"...
% 0.76/0.46 % (2564908)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=2105134940:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.76/0.46 % (2564900)Instruction limit reached!
% 0.76/0.46 % (2564900)------------------------------
% 0.76/0.46 % (2564900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (2564900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2564900)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2564900)Termination reason: Instruction limit
% 0.76/0.46 % (2564900)Termination phase: Preprocessing 3
% 0.76/0.46 % (2564900)Time elapsed: 0.028 s
% 0.76/0.46 % (2564900)Peak memory usage: 12 MB
% 0.76/0.46 % (2564900)Instructions burned: 62 (million)
% 0.76/0.46 % (2564857)...printing done.
% 0.76/0.46 % (2564910)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1816168058:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.76/0.46 % (2564857)Refutation found. Thanks to Tanya!
% 0.76/0.46 % SZS status Theorem for theBenchmark
% 0.76/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.76/0.46 % (2564857)------------------------------
% 0.76/0.46 % (2564857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (2564857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2564857)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2564857)Termination reason: Refutation
% 0.76/0.46 % (2564857)Time elapsed: 0.140 s
% 0.76/0.46 % (2564857)Peak memory usage: 16 MB
% 0.76/0.46 % (2564857)Instructions burned: 297 (million)
% 0.76/0.46 % (2564849)Success in time 0.204 s
% 0.76/0.46 % Vampire exiting
%------------------------------------------------------------------------------