%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW478^2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 08:40:23 AM UTC 2026
% Result : Theorem 1.29s 0.49s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 5 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 175 ( 5 ~; 0 |; 0 &; 170 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 20 ( 19 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 528 ( 525 usr; 20 con; 0-8 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
bop: $tType ).
thf(type_def_6,type,
exp_list_char: $tType ).
thf(type_def_7,type,
list_char: $tType ).
thf(type_def_8,type,
list_P1999446415t_char: $tType ).
thf(type_def_9,type,
nat: $tType ).
thf(type_def_10,type,
option_list_char_o: $tType ).
thf(type_def_11,type,
option_ty: $tType ).
thf(type_def_12,type,
option_val: $tType ).
thf(type_def_13,type,
option1728594148on_val: $tType ).
thf(type_def_14,type,
ty: $tType ).
thf(type_def_15,type,
val: $tType ).
thf(type_def_16,type,
produc2090907612on_val: $tType ).
thf(type_def_17,type,
produc1645268488al_val: $tType ).
thf(type_def_18,type,
produc1282892786on_val: $tType ).
thf(type_def_19,type,
produc2088785539on_val: $tType ).
thf(type_def_20,type,
produc1278157519t_char: $tType ).
thf(type_def_21,type,
produc1013743697t_char: $tType ).
thf(type_def_22,type,
product_prod_val_val: $tType ).
thf(type_def_23,type,
produc1746408499on_val: $tType ).
thf(type_def_24,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
eval: list_P1999446415t_char > exp_list_char > produc2090907612on_val > exp_list_char > produc2090907612on_val > $o ).
thf(func_def_1,type,
final_list_char: exp_list_char > $o ).
thf(func_def_2,type,
conf_P373316194t_char: list_P1999446415t_char > ( nat > option1728594148on_val ) > val > ty > $o ).
thf(func_def_3,type,
hconf_97414254t_char: list_P1999446415t_char > ( nat > option1728594148on_val ) > $o ).
thf(func_def_4,type,
lconf_496643946t_char: list_P1999446415t_char > ( nat > option1728594148on_val ) > ( list_char > option_val ) > ( list_char > option_ty ) > $o ).
thf(func_def_5,type,
oconf_1869808039t_char: list_P1999446415t_char > ( nat > option1728594148on_val ) > produc2088785539on_val > $o ).
thf(func_def_6,type,
is_cla570604648t_char: list_P1999446415t_char > list_char > $o ).
thf(func_def_7,type,
d_list_char: exp_list_char > option_list_char_o > $o ).
thf(func_def_8,type,
classCast: list_char ).
thf(func_def_9,type,
nullPointer: list_char ).
thf(func_def_10,type,
addr_of_sys_xcpt: list_char > nat ).
thf(func_def_11,type,
binop: produc1645268488al_val > option_val ).
thf(func_def_12,type,
add: bop ).
thf(func_def_13,type,
c_Expr_Obop_OEq: bop ).
thf(func_def_14,type,
binOp_list_char: exp_list_char > bop > exp_list_char > exp_list_char ).
thf(func_def_15,type,
block_list_char: list_char > ty > exp_list_char > exp_list_char ).
thf(func_def_16,type,
cast_list_char: list_char > exp_list_char > exp_list_char ).
thf(func_def_17,type,
fAcc_list_char: exp_list_char > list_char > list_char > exp_list_char ).
thf(func_def_18,type,
fAss_list_char: exp_list_char > list_char > list_char > exp_list_char > exp_list_char ).
thf(func_def_19,type,
lAss_list_char: list_char > exp_list_char > exp_list_char ).
thf(func_def_20,type,
seq_list_char: exp_list_char > exp_list_char > exp_list_char ).
thf(func_def_21,type,
tryCatch_list_char: exp_list_char > list_char > list_char > exp_list_char > exp_list_char ).
thf(func_def_22,type,
val_list_char: val > exp_list_char ).
thf(func_def_23,type,
while_list_char: exp_list_char > exp_list_char > exp_list_char ).
thf(func_def_24,type,
throw_list_char: exp_list_char > exp_list_char ).
thf(func_def_25,type,
fun_up405271663char_o: ( list_char > option_list_char_o ) > list_char > option_list_char_o > list_char > option_list_char_o ).
thf(func_def_26,type,
fun_up424764369ion_ty: ( list_char > option_ty ) > list_char > option_ty > list_char > option_ty ).
thf(func_def_27,type,
fun_up1149430426on_val: ( list_char > option_val ) > list_char > option_val > list_char > option_val ).
thf(func_def_28,type,
fun_up867733049on_val: ( list_char > option1728594148on_val ) > list_char > option1728594148on_val > list_char > option1728594148on_val ).
thf(func_def_29,type,
fun_up412657745char_o: ( nat > option_list_char_o ) > nat > option_list_char_o > nat > option_list_char_o ).
thf(func_def_30,type,
fun_up421284275ion_ty: ( nat > option_ty ) > nat > option_ty > nat > option_ty ).
thf(func_def_31,type,
fun_up846528380on_val: ( nat > option_val ) > nat > option_val > nat > option_val ).
thf(func_def_32,type,
fun_up1472480727on_val: ( nat > option1728594148on_val ) > nat > option1728594148on_val > nat > option1728594148on_val ).
thf(func_def_33,type,
fun_up590200203char_o: ( produc2090907612on_val > option_list_char_o ) > produc2090907612on_val > option_list_char_o > produc2090907612on_val > option_list_char_o ).
thf(func_def_34,type,
fun_up1313253613ion_ty: ( produc2090907612on_val > option_ty ) > produc2090907612on_val > option_ty > produc2090907612on_val > option_ty ).
thf(func_def_35,type,
fun_up1458528694on_val: ( produc2090907612on_val > option_val ) > produc2090907612on_val > option_val > produc2090907612on_val > option_val ).
thf(func_def_36,type,
fun_up224753181on_val: ( produc2090907612on_val > option1728594148on_val ) > produc2090907612on_val > option1728594148on_val > produc2090907612on_val > option1728594148on_val ).
thf(func_def_37,type,
fun_up743641015char_o: ( produc1645268488al_val > option_list_char_o ) > produc1645268488al_val > option_list_char_o > produc1645268488al_val > option_list_char_o ).
thf(func_def_38,type,
fun_up430376729ion_ty: ( produc1645268488al_val > option_ty ) > produc1645268488al_val > option_ty > produc1645268488al_val > option_ty ).
thf(func_def_39,type,
fun_up1370188258on_val: ( produc1645268488al_val > option_val ) > produc1645268488al_val > option_val > produc1645268488al_val > option_val ).
thf(func_def_40,type,
fun_up709865713on_val: ( produc1645268488al_val > option1728594148on_val ) > produc1645268488al_val > option1728594148on_val > produc1645268488al_val > option1728594148on_val ).
thf(func_def_41,type,
fun_up122360737char_o: ( produc1282892786on_val > option_list_char_o ) > produc1282892786on_val > option_list_char_o > produc1282892786on_val > option_list_char_o ).
thf(func_def_42,type,
fun_up951485699ion_ty: ( produc1282892786on_val > option_ty ) > produc1282892786on_val > option_ty > produc1282892786on_val > option_ty ).
thf(func_def_43,type,
fun_up1510380236on_val: ( produc1282892786on_val > option_val ) > produc1282892786on_val > option_val > produc1282892786on_val > option_val ).
thf(func_def_44,type,
fun_up881763975on_val: ( produc1282892786on_val > option1728594148on_val ) > produc1282892786on_val > option1728594148on_val > produc1282892786on_val > option1728594148on_val ).
thf(func_def_45,type,
fun_up1138829106char_o: ( produc2088785539on_val > option_list_char_o ) > produc2088785539on_val > option_list_char_o > produc2088785539on_val > option_list_char_o ).
thf(func_def_46,type,
fun_up1537495444ion_ty: ( produc2088785539on_val > option_ty ) > produc2088785539on_val > option_ty > produc2088785539on_val > option_ty ).
thf(func_def_47,type,
fun_up305473245on_val: ( produc2088785539on_val > option_val ) > produc2088785539on_val > option_val > produc2088785539on_val > option_val ).
thf(func_def_48,type,
fun_up70099126on_val: ( produc2088785539on_val > option1728594148on_val ) > produc2088785539on_val > option1728594148on_val > produc2088785539on_val > option1728594148on_val ).
thf(func_def_49,type,
fun_up204312361on_val: ( produc1278157519t_char > option_val ) > produc1278157519t_char > option_val > produc1278157519t_char > option_val ).
thf(func_def_50,type,
fun_up179536214char_o: ( product_prod_val_val > option_list_char_o ) > product_prod_val_val > option_list_char_o > product_prod_val_val > option_list_char_o ).
thf(func_def_51,type,
fun_up638349240ion_ty: ( product_prod_val_val > option_ty ) > product_prod_val_val > option_ty > product_prod_val_val > option_ty ).
thf(func_def_52,type,
fun_up2650881on_val: ( product_prod_val_val > option_val ) > product_prod_val_val > option_val > product_prod_val_val > option_val ).
thf(func_def_53,type,
fun_up2110408082on_val: ( product_prod_val_val > option1728594148on_val ) > product_prod_val_val > option1728594148on_val > product_prod_val_val > option1728594148on_val ).
thf(func_def_54,type,
wf_J_mdecl: list_P1999446415t_char > list_char > produc1013743697t_char > $o ).
thf(func_def_55,type,
dom_li115714383char_o: ( list_char > option_list_char_o ) > list_char > $o ).
thf(func_def_56,type,
dom_list_char_ty: ( list_char > option_ty ) > list_char > $o ).
thf(func_def_57,type,
dom_list_char_val: ( list_char > option_val ) > list_char > $o ).
thf(func_def_58,type,
dom_li96736835on_val: ( list_char > option1728594148on_val ) > list_char > $o ).
thf(func_def_59,type,
dom_nat_list_char_o: ( nat > option_list_char_o ) > nat > $o ).
thf(func_def_60,type,
dom_nat_ty: ( nat > option_ty ) > nat > $o ).
thf(func_def_61,type,
dom_nat_val: ( nat > option_val ) > nat > $o ).
thf(func_def_62,type,
dom_na2045926843on_val: ( nat > option1728594148on_val ) > nat > $o ).
thf(func_def_63,type,
dom_Pr1958353971char_o: ( produc2090907612on_val > option_list_char_o ) > produc2090907612on_val > $o ).
thf(func_def_64,type,
dom_Pr878896021val_ty: ( produc2090907612on_val > option_ty ) > produc2090907612on_val > $o ).
thf(func_def_65,type,
dom_Pr1333147486al_val: ( produc2090907612on_val > option_val ) > produc2090907612on_val > $o ).
thf(func_def_66,type,
dom_Pr1306915423on_val: ( produc2090907612on_val > option1728594148on_val ) > produc2090907612on_val > $o ).
thf(func_def_67,type,
dom_Pr1531186439char_o: ( produc1645268488al_val > option_list_char_o ) > produc1645268488al_val > $o ).
thf(func_def_68,type,
dom_Pr585943145val_ty: ( produc1645268488al_val > option_ty ) > produc1645268488al_val > $o ).
thf(func_def_69,type,
dom_Pr934474290al_val: ( produc1645268488al_val > option_val ) > produc1645268488al_val > $o ).
thf(func_def_70,type,
dom_Pr1903277195on_val: ( produc1645268488al_val > option1728594148on_val ) > produc1645268488al_val > $o ).
thf(func_def_71,type,
dom_Pr373640349char_o: ( produc1282892786on_val > option_list_char_o ) > produc1282892786on_val > $o ).
thf(func_def_72,type,
dom_Pr1290145279val_ty: ( produc1282892786on_val > option_ty ) > produc1282892786on_val > $o ).
thf(func_def_73,type,
dom_Pr959892680al_val: ( produc1282892786on_val > option_val ) > produc1282892786on_val > $o ).
thf(func_def_74,type,
dom_Pr1372035957on_val: ( produc1282892786on_val > option1728594148on_val ) > produc1282892786on_val > $o ).
thf(func_def_75,type,
dom_Pr957742668char_o: ( produc2088785539on_val > option_list_char_o ) > produc2088785539on_val > $o ).
thf(func_def_76,type,
dom_Pr970344110val_ty: ( produc2088785539on_val > option_ty ) > produc2088785539on_val > $o ).
thf(func_def_77,type,
dom_Pr397909495al_val: ( produc2088785539on_val > option_val ) > produc2088785539on_val > $o ).
thf(func_def_78,type,
dom_Pr1058999302on_val: ( produc2088785539on_val > option1728594148on_val ) > produc2088785539on_val > $o ).
thf(func_def_79,type,
dom_Pr695701035ar_val: ( produc1278157519t_char > option_val ) > produc1278157519t_char > $o ).
thf(func_def_80,type,
dom_Pr581342760char_o: ( product_prod_val_val > option_list_char_o ) > product_prod_val_val > $o ).
thf(func_def_81,type,
dom_Pr1536367242val_ty: ( product_prod_val_val > option_ty ) > product_prod_val_val > $o ).
thf(func_def_82,type,
dom_Pr1854948307al_val: ( product_prod_val_val > option_val ) > product_prod_val_val > $o ).
thf(func_def_83,type,
dom_Pr283571498on_val: ( product_prod_val_val > option1728594148on_val ) > product_prod_val_val > $o ).
thf(func_def_84,type,
map_ad1407104812char_o: ( list_char > option_list_char_o ) > ( list_char > option_list_char_o ) > list_char > option_list_char_o ).
thf(func_def_85,type,
map_add_list_char_ty: ( list_char > option_ty ) > ( list_char > option_ty ) > list_char > option_ty ).
thf(func_def_86,type,
map_ad325961431ar_val: ( list_char > option_val ) > ( list_char > option_val ) > list_char > option_val ).
thf(func_def_87,type,
map_ad53467942on_val: ( list_char > option1728594148on_val ) > ( list_char > option1728594148on_val ) > list_char > option1728594148on_val ).
thf(func_def_88,type,
map_ad2090421050char_o: ( nat > option_list_char_o ) > ( nat > option_list_char_o ) > nat > option_list_char_o ).
thf(func_def_89,type,
map_add_nat_ty: ( nat > option_ty ) > ( nat > option_ty ) > nat > option_ty ).
thf(func_def_90,type,
map_add_nat_val: ( nat > option_val ) > ( nat > option_val ) > nat > option_val ).
thf(func_def_91,type,
map_ad1851375512on_val: ( nat > option1728594148on_val ) > ( nat > option1728594148on_val ) > nat > option1728594148on_val ).
thf(func_def_92,type,
map_ad1905329424char_o: ( produc2090907612on_val > option_list_char_o ) > ( produc2090907612on_val > option_list_char_o ) > produc2090907612on_val > option_list_char_o ).
thf(func_def_93,type,
map_ad1576841586val_ty: ( produc2090907612on_val > option_ty ) > ( produc2090907612on_val > option_ty ) > produc2090907612on_val > option_ty ).
thf(func_def_94,type,
map_ad466413243al_val: ( produc2090907612on_val > option_val ) > ( produc2090907612on_val > option_val ) > produc2090907612on_val > option_val ).
thf(func_def_95,type,
map_ad815995970on_val: ( produc2090907612on_val > option1728594148on_val ) > ( produc2090907612on_val > option1728594148on_val ) > produc2090907612on_val > option1728594148on_val ).
thf(func_def_96,type,
map_ad440022500char_o: ( produc1645268488al_val > option_list_char_o ) > ( produc1645268488al_val > option_list_char_o ) > produc1645268488al_val > option_list_char_o ).
thf(func_def_97,type,
map_ad1877333574val_ty: ( produc1645268488al_val > option_ty ) > ( produc1645268488al_val > option_ty ) > produc1645268488al_val > option_ty ).
thf(func_def_98,type,
map_ad1808327055al_val: ( produc1645268488al_val > option_val ) > ( produc1645268488al_val > option_val ) > produc1645268488al_val > option_val ).
thf(func_def_99,type,
map_ad1824497262on_val: ( produc1645268488al_val > option1728594148on_val ) > ( produc1645268488al_val > option1728594148on_val ) > produc1645268488al_val > option1728594148on_val ).
thf(func_def_100,type,
map_ad134899834char_o: ( produc1282892786on_val > option_list_char_o ) > ( produc1282892786on_val > option_list_char_o ) > produc1282892786on_val > option_list_char_o ).
thf(func_def_101,type,
map_ad1914244828val_ty: ( produc1282892786on_val > option_ty ) > ( produc1282892786on_val > option_ty ) > produc1282892786on_val > option_ty ).
thf(func_def_102,type,
map_ad1639788325al_val: ( produc1282892786on_val > option_val ) > ( produc1282892786on_val > option_val ) > produc1282892786on_val > option_val ).
thf(func_def_103,type,
map_ad1893716568on_val: ( produc1282892786on_val > option1728594148on_val ) > ( produc1282892786on_val > option1728594148on_val ) > produc1282892786on_val > option1728594148on_val ).
thf(func_def_104,type,
map_ad1510374185char_o: ( produc2088785539on_val > option_list_char_o ) > ( produc2088785539on_val > option_list_char_o ) > produc2088785539on_val > option_list_char_o ).
thf(func_def_105,type,
map_ad775792779val_ty: ( produc2088785539on_val > option_ty ) > ( produc2088785539on_val > option_ty ) > produc2088785539on_val > option_ty ).
thf(func_def_106,type,
map_ad2035409236al_val: ( produc2088785539on_val > option_val ) > ( produc2088785539on_val > option_val ) > produc2088785539on_val > option_val ).
thf(func_def_107,type,
map_ad918921705on_val: ( produc2088785539on_val > option1728594148on_val ) > ( produc2088785539on_val > option1728594148on_val ) > produc2088785539on_val > option1728594148on_val ).
thf(func_def_108,type,
map_ad1185064968ar_val: ( produc1278157519t_char > option_val ) > ( produc1278157519t_char > option_val ) > produc1278157519t_char > option_val ).
thf(func_def_109,type,
map_ad1233037829char_o: ( product_prod_val_val > option_list_char_o ) > ( product_prod_val_val > option_list_char_o ) > product_prod_val_val > option_list_char_o ).
thf(func_def_110,type,
map_ad1402016615val_ty: ( product_prod_val_val > option_ty ) > ( product_prod_val_val > option_ty ) > product_prod_val_val > option_ty ).
thf(func_def_111,type,
map_ad1139121712al_val: ( product_prod_val_val > option_val ) > ( product_prod_val_val > option_val ) > product_prod_val_val > option_val ).
thf(func_def_112,type,
map_ad1570649101on_val: ( product_prod_val_val > option1728594148on_val ) > ( product_prod_val_val > option1728594148on_val ) > product_prod_val_val > option1728594148on_val ).
thf(func_def_113,type,
hext: ( nat > option1728594148on_val ) > ( nat > option1728594148on_val ) > $o ).
thf(func_def_114,type,
none_val: option_val ).
thf(func_def_115,type,
none_P1260844216on_val: option1728594148on_val ).
thf(func_def_116,type,
some_list_char_o: ( list_char > $o ) > option_list_char_o ).
thf(func_def_117,type,
some_ty: ty > option_ty ).
thf(func_def_118,type,
some_val: val > option_val ).
thf(func_def_119,type,
some_P451527732on_val: produc2088785539on_val > option1728594148on_val ).
thf(func_def_120,type,
the_val: option_val > val ).
thf(func_def_121,type,
produc755559506on_val: ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc2090907612on_val ).
thf(func_def_122,type,
produc621191550al_val: bop > product_prod_val_val > produc1645268488al_val ).
thf(func_def_123,type,
produc235638504on_val: exp_list_char > produc2090907612on_val > produc1282892786on_val ).
thf(func_def_124,type,
produc926070009on_val: list_char > ( produc1278157519t_char > option_val ) > produc2088785539on_val ).
thf(func_def_125,type,
produc5062597t_char: list_char > list_char > produc1278157519t_char ).
thf(func_def_126,type,
product_Pair_val_val: val > val > product_prod_val_val ).
thf(func_def_127,type,
produc833389609on_val: produc1282892786on_val > produc1282892786on_val > produc1746408499on_val ).
thf(func_def_128,type,
produc1402621651_val_o: ( produc2090907612on_val > $o ) > ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ).
thf(func_def_129,type,
produc275195559_val_o: ( produc1645268488al_val > $o ) > bop > product_prod_val_val > $o ).
thf(func_def_130,type,
produc1287763389_val_o: ( produc1282892786on_val > $o ) > exp_list_char > produc2090907612on_val > $o ).
thf(func_def_131,type,
produc1177570924_val_o: ( produc2088785539on_val > $o ) > list_char > ( produc1278157519t_char > option_val ) > $o ).
thf(func_def_132,type,
produc1709467424char_o: ( produc1278157519t_char > $o ) > list_char > list_char > $o ).
thf(func_def_133,type,
produc575837646_val_o: ( product_prod_val_val > $o ) > val > val > $o ).
thf(func_def_134,type,
produc803302844_val_o: ( produc1746408499on_val > $o ) > produc1282892786on_val > produc1282892786on_val > $o ).
thf(func_def_135,type,
produc575577405_val_o: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > produc2090907612on_val > $o ).
thf(func_def_136,type,
produc1476785425_val_o: ( bop > product_prod_val_val > $o ) > produc1645268488al_val > $o ).
thf(func_def_137,type,
produc900512295_val_o: ( exp_list_char > produc2090907612on_val > $o ) > produc1282892786on_val > $o ).
thf(func_def_138,type,
produc473466070_val_o: ( list_char > ( produc1278157519t_char > option_val ) > $o ) > produc2088785539on_val > $o ).
thf(func_def_139,type,
produc1140826762char_o: ( list_char > list_char > $o ) > produc1278157519t_char > $o ).
thf(func_def_140,type,
produc2001734200_val_o: ( val > val > $o ) > product_prod_val_val > $o ).
thf(func_def_141,type,
produc2006262054_val_o: ( produc1282892786on_val > produc1282892786on_val > $o ) > produc1746408499on_val > $o ).
thf(func_def_142,type,
produc546196114char_o: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > list_char > $o ) > produc2090907612on_val > list_char > $o ).
thf(func_def_143,type,
produc1075640496_nat_o: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > nat > $o ) > produc2090907612on_val > nat > $o ).
thf(func_def_144,type,
produc146628214_val_o: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc2090907612on_val > $o ) > produc2090907612on_val > produc2090907612on_val > $o ).
thf(func_def_145,type,
produc528569674_val_o: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc1645268488al_val > $o ) > produc2090907612on_val > produc1645268488al_val > $o ).
thf(func_def_146,type,
produc74886368_val_o: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc1282892786on_val > $o ) > produc2090907612on_val > produc1282892786on_val > $o ).
thf(func_def_147,type,
produc1215095823_val_o: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc2088785539on_val > $o ) > produc2090907612on_val > produc2088785539on_val > $o ).
thf(func_def_148,type,
produc1880562923_val_o: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > product_prod_val_val > $o ) > produc2090907612on_val > product_prod_val_val > $o ).
thf(func_def_149,type,
produc252486962_val_o: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > produc2090907612on_val > $o ).
thf(func_def_150,type,
produc1442430405al_val: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc1645268488al_val ) > produc2090907612on_val > produc1645268488al_val ).
thf(func_def_151,type,
produc1016489647on_val: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc1282892786on_val ) > produc2090907612on_val > produc1282892786on_val ).
thf(func_def_152,type,
produc2039683648on_val: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc2088785539on_val ) > produc2090907612on_val > produc2088785539on_val ).
thf(func_def_153,type,
produc562949388t_char: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc1278157519t_char ) > produc2090907612on_val > produc1278157519t_char ).
thf(func_def_154,type,
produc794934116al_val: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > product_prod_val_val ) > produc2090907612on_val > product_prod_val_val ).
thf(func_def_155,type,
produc1186953840on_val: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc1746408499on_val ) > produc2090907612on_val > produc1746408499on_val ).
thf(func_def_156,type,
produc1671601254char_o: ( bop > product_prod_val_val > list_char > $o ) > produc1645268488al_val > list_char > $o ).
thf(func_def_157,type,
produc2010981340_nat_o: ( bop > product_prod_val_val > nat > $o ) > produc1645268488al_val > nat > $o ).
thf(func_def_158,type,
produc1539816522_val_o: ( bop > product_prod_val_val > produc2090907612on_val > $o ) > produc1645268488al_val > produc2090907612on_val > $o ).
thf(func_def_159,type,
produc1554035486_val_o: ( bop > product_prod_val_val > produc1645268488al_val > $o ) > produc1645268488al_val > produc1645268488al_val > $o ).
thf(func_def_160,type,
produc813528756_val_o: ( bop > product_prod_val_val > produc1282892786on_val > $o ) > produc1645268488al_val > produc1282892786on_val > $o ).
thf(func_def_161,type,
produc633541091_val_o: ( bop > product_prod_val_val > produc2088785539on_val > $o ) > produc1645268488al_val > produc2088785539on_val > $o ).
thf(func_def_162,type,
produc26920639_val_o: ( bop > product_prod_val_val > product_prod_val_val > $o ) > produc1645268488al_val > product_prod_val_val > $o ).
thf(func_def_163,type,
produc1063861510_val_o: ( bop > product_prod_val_val > $o ) > produc1645268488al_val > $o ).
thf(func_def_164,type,
produc1247631557on_val: ( bop > product_prod_val_val > produc2090907612on_val ) > produc1645268488al_val > produc2090907612on_val ).
thf(func_def_165,type,
produc279240572char_o: ( exp_list_char > produc2090907612on_val > list_char > $o ) > produc1282892786on_val > list_char > $o ).
thf(func_def_166,type,
produc1795400262_nat_o: ( exp_list_char > produc2090907612on_val > nat > $o ) > produc1282892786on_val > nat > $o ).
thf(func_def_167,type,
produc1115879776_val_o: ( exp_list_char > produc2090907612on_val > produc2090907612on_val > $o ) > produc1282892786on_val > produc2090907612on_val > $o ).
thf(func_def_168,type,
produc156332084_val_o: ( exp_list_char > produc2090907612on_val > produc1645268488al_val > $o ) > produc1282892786on_val > produc1645268488al_val > $o ).
thf(func_def_169,type,
produc68058570_val_o: ( exp_list_char > produc2090907612on_val > produc1282892786on_val > $o ) > produc1282892786on_val > produc1282892786on_val > $o ).
thf(func_def_170,type,
produc1552443129_val_o: ( exp_list_char > produc2090907612on_val > produc2088785539on_val > $o ) > produc1282892786on_val > produc2088785539on_val > $o ).
thf(func_def_171,type,
produc193813973_val_o: ( exp_list_char > produc2090907612on_val > product_prod_val_val > $o ) > produc1282892786on_val > product_prod_val_val > $o ).
thf(func_def_172,type,
produc1835097372_val_o: ( exp_list_char > produc2090907612on_val > $o ) > produc1282892786on_val > $o ).
thf(func_def_173,type,
produc69760047on_val: ( exp_list_char > produc2090907612on_val > produc2090907612on_val ) > produc1282892786on_val > produc2090907612on_val ).
thf(func_def_174,type,
produc1019934379char_o: ( list_char > ( produc1278157519t_char > option_val ) > list_char > $o ) > produc2088785539on_val > list_char > $o ).
thf(func_def_175,type,
produc1168407767_nat_o: ( list_char > ( produc1278157519t_char > option_val ) > nat > $o ) > produc2088785539on_val > nat > $o ).
thf(func_def_176,type,
produc371411343_val_o: ( list_char > ( produc1278157519t_char > option_val ) > produc2090907612on_val > $o ) > produc2088785539on_val > produc2090907612on_val > $o ).
thf(func_def_177,type,
produc762675299_val_o: ( list_char > ( produc1278157519t_char > option_val ) > produc1645268488al_val > $o ) > produc2088785539on_val > produc1645268488al_val > $o ).
thf(func_def_178,type,
produc370364153_val_o: ( list_char > ( produc1278157519t_char > option_val ) > produc1282892786on_val > $o ) > produc2088785539on_val > produc1282892786on_val > $o ).
thf(func_def_179,type,
produc250270504_val_o: ( list_char > ( produc1278157519t_char > option_val ) > produc2088785539on_val > $o ) > produc2088785539on_val > produc2088785539on_val > $o ).
thf(func_def_180,type,
produc2105497348_val_o: ( list_char > ( produc1278157519t_char > option_val ) > product_prod_val_val > $o ) > produc2088785539on_val > product_prod_val_val > $o ).
thf(func_def_181,type,
produc765165771_val_o: ( list_char > ( produc1278157519t_char > option_val ) > $o ) > produc2088785539on_val > $o ).
thf(func_def_182,type,
produc1349598016on_val: ( list_char > ( produc1278157519t_char > option_val ) > produc2090907612on_val ) > produc2088785539on_val > produc2090907612on_val ).
thf(func_def_183,type,
produc1602969823char_o: ( list_char > list_char > list_char > $o ) > produc1278157519t_char > list_char > $o ).
thf(func_def_184,type,
produc823420835_nat_o: ( list_char > list_char > nat > $o ) > produc1278157519t_char > nat > $o ).
thf(func_def_185,type,
produc1730830275_val_o: ( list_char > list_char > produc2090907612on_val > $o ) > produc1278157519t_char > produc2090907612on_val > $o ).
thf(func_def_186,type,
produc967415447_val_o: ( list_char > list_char > produc1645268488al_val > $o ) > produc1278157519t_char > produc1645268488al_val > $o ).
thf(func_def_187,type,
produc1656516909_val_o: ( list_char > list_char > produc1282892786on_val > $o ) > produc1278157519t_char > produc1282892786on_val > $o ).
thf(func_def_188,type,
produc584792412_val_o: ( list_char > list_char > produc2088785539on_val > $o ) > produc1278157519t_char > produc2088785539on_val > $o ).
thf(func_def_189,type,
produc707156280_val_o: ( list_char > list_char > product_prod_val_val > $o ) > produc1278157519t_char > product_prod_val_val > $o ).
thf(func_def_190,type,
produc282231039char_o: ( list_char > list_char > $o ) > produc1278157519t_char > $o ).
thf(func_def_191,type,
produc835075084on_val: ( list_char > list_char > produc2090907612on_val ) > produc1278157519t_char > produc2090907612on_val ).
thf(func_def_192,type,
produc2042909709char_o: ( val > val > list_char > $o ) > product_prod_val_val > list_char > $o ).
thf(func_def_193,type,
produc776580085_nat_o: ( val > val > nat > $o ) > product_prod_val_val > nat > $o ).
thf(func_def_194,type,
produc1559655665_val_o: ( val > val > produc2090907612on_val > $o ) > product_prod_val_val > produc2090907612on_val > $o ).
thf(func_def_195,type,
produc1680944069_val_o: ( val > val > produc1645268488al_val > $o ) > product_prod_val_val > produc1645268488al_val > $o ).
thf(func_def_196,type,
produc1702738011_val_o: ( val > val > produc1282892786on_val > $o ) > product_prod_val_val > produc1282892786on_val > $o ).
thf(func_def_197,type,
produc532727434_val_o: ( val > val > produc2088785539on_val > $o ) > product_prod_val_val > produc2088785539on_val > $o ).
thf(func_def_198,type,
produc844722278_val_o: ( val > val > product_prod_val_val > $o ) > product_prod_val_val > product_prod_val_val > $o ).
thf(func_def_199,type,
produc9430317_val_o: ( val > val > $o ) > product_prod_val_val > $o ).
thf(func_def_200,type,
produc1893839198on_val: ( val > val > produc2090907612on_val ) > product_prod_val_val > produc2090907612on_val ).
thf(func_def_201,type,
produc942102907char_o: ( produc1282892786on_val > produc1282892786on_val > list_char > $o ) > produc1746408499on_val > list_char > $o ).
thf(func_def_202,type,
produc1524362759_nat_o: ( produc1282892786on_val > produc1282892786on_val > nat > $o ) > produc1746408499on_val > nat > $o ).
thf(func_def_203,type,
produc793795679_val_o: ( produc1282892786on_val > produc1282892786on_val > produc2090907612on_val > $o ) > produc1746408499on_val > produc2090907612on_val > $o ).
thf(func_def_204,type,
produc836145971_val_o: ( produc1282892786on_val > produc1282892786on_val > produc1645268488al_val > $o ) > produc1746408499on_val > produc1645268488al_val > $o ).
thf(func_def_205,type,
produc1798214089_val_o: ( produc1282892786on_val > produc1282892786on_val > produc1282892786on_val > $o ) > produc1746408499on_val > produc1282892786on_val > $o ).
thf(func_def_206,type,
produc1122313720_val_o: ( produc1282892786on_val > produc1282892786on_val > produc2088785539on_val > $o ) > produc1746408499on_val > produc2088785539on_val > $o ).
thf(func_def_207,type,
produc545397204_val_o: ( produc1282892786on_val > produc1282892786on_val > product_prod_val_val > $o ) > produc1746408499on_val > product_prod_val_val > $o ).
thf(func_def_208,type,
produc1624062875_val_o: ( produc1282892786on_val > produc1282892786on_val > $o ) > produc1746408499on_val > $o ).
thf(func_def_209,type,
produc511181936on_val: ( produc1282892786on_val > produc1282892786on_val > produc2090907612on_val ) > produc1746408499on_val > produc2090907612on_val ).
thf(func_def_210,type,
assigned: list_char > exp_list_char > $o ).
thf(func_def_211,type,
red: list_P1999446415t_char > produc1746408499on_val > $o ).
thf(func_def_212,type,
redp: list_P1999446415t_char > exp_list_char > produc2090907612on_val > exp_list_char > produc2090907612on_val > $o ).
thf(func_def_213,type,
hp: produc2090907612on_val > nat > option1728594148on_val ).
thf(func_def_214,type,
transi1395422419t_char: ( produc1278157519t_char > $o ) > produc1278157519t_char > $o ).
thf(func_def_215,type,
transi2118771717on_val: ( produc1746408499on_val > $o ) > produc1746408499on_val > $o ).
thf(func_def_216,type,
transi1065307915t_char: ( list_char > list_char > $o ) > list_char > list_char > $o ).
thf(func_def_217,type,
has_fi1183600461t_char: list_P1999446415t_char > list_char > list_char > ty > list_char > $o ).
thf(func_def_218,type,
subcls851966956t_char: list_P1999446415t_char > produc1278157519t_char > $o ).
thf(func_def_219,type,
subcls744239332t_char: list_P1999446415t_char > list_char > list_char > $o ).
thf(func_def_220,type,
widen_2090681816t_char: list_P1999446415t_char > ty > ty > $o ).
thf(func_def_221,type,
typeSa1102574168_sconf: list_P1999446415t_char > ( list_char > option_ty ) > produc2090907612on_val > $o ).
thf(func_def_222,type,
is_refT: ty > $o ).
thf(func_def_223,type,
class: list_char > ty ).
thf(func_def_224,type,
nt: ty ).
thf(func_def_225,type,
void: ty ).
thf(func_def_226,type,
addr: nat > val ).
thf(func_def_227,type,
bool: $o > val ).
thf(func_def_228,type,
null: val ).
thf(func_def_229,type,
unit: val ).
thf(func_def_230,type,
wwf_J_mdecl: list_P1999446415t_char > list_char > produc1013743697t_char > $o ).
thf(func_def_231,type,
wf_pro755087577t_char: ( list_P1999446415t_char > list_char > produc1013743697t_char > $o ) > list_P1999446415t_char > $o ).
thf(func_def_232,type,
wTrt: list_P1999446415t_char > ( nat > option1728594148on_val ) > ( list_char > option_ty ) > exp_list_char > ty > $o ).
thf(func_def_233,type,
member_list_char: list_char > ( list_char > $o ) > $o ).
thf(func_def_234,type,
member_nat: nat > ( nat > $o ) > $o ).
thf(func_def_235,type,
member1846553161on_val: produc2090907612on_val > ( produc2090907612on_val > $o ) > $o ).
thf(func_def_236,type,
member1417904245al_val: produc1645268488al_val > ( produc1645268488al_val > $o ) > $o ).
thf(func_def_237,type,
member1072200031on_val: produc1282892786on_val > ( produc1282892786on_val > $o ) > $o ).
thf(func_def_238,type,
member1374264560on_val: produc2088785539on_val > ( produc2088785539on_val > $o ) > $o ).
thf(func_def_239,type,
member1251428284t_char: produc1278157519t_char > ( produc1278157519t_char > $o ) > $o ).
thf(func_def_240,type,
member649088532al_val: product_prod_val_val > ( product_prod_val_val > $o ) > $o ).
thf(func_def_241,type,
member1913460000on_val: produc1746408499on_val > ( produc1746408499on_val > $o ) > $o ).
thf(func_def_242,type,
e: list_char > option_ty ).
thf(func_def_243,type,
p: list_P1999446415t_char ).
thf(func_def_244,type,
t: ty ).
thf(func_def_245,type,
t_1: ty ).
thf(func_def_246,type,
v_1: list_char ).
thf(func_def_247,type,
e_a: exp_list_char ).
thf(func_def_248,type,
ea: exp_list_char ).
thf(func_def_249,type,
h_a: nat > option1728594148on_val ).
thf(func_def_250,type,
ha: nat > option1728594148on_val ).
thf(func_def_251,type,
l_a: list_char > option_val ).
thf(func_def_252,type,
la: list_char > option_val ).
thf(func_def_253,type,
v_2: val ).
thf(func_def_254,type,
v: val ).
thf(func_def_256,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_257,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_258,type,
vAND: $o > $o > $o ).
thf(func_def_261,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_262,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_263,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_264,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_265,type,
sP0: ty > exp_list_char > list_char > list_char > ( nat > option1728594148on_val ) > ( list_char > option_ty ) > exp_list_char > list_P1999446415t_char > $o ).
thf(func_def_266,type,
sP1: exp_list_char > exp_list_char > produc2090907612on_val > list_P1999446415t_char > exp_list_char > produc2090907612on_val > bop > $o ).
thf(func_def_267,type,
sK2: ( list_char > option_ty ) > ty > ty ).
thf(func_def_268,type,
sK3: ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_269,type,
sK4: ( produc1746408499on_val > $o ) > exp_list_char ).
thf(func_def_270,type,
sK5: ( produc1746408499on_val > $o ) > nat > option1728594148on_val ).
thf(func_def_271,type,
sK6: ( produc1746408499on_val > $o ) > list_char > option_val ).
thf(func_def_272,type,
sK7: produc1746408499on_val > produc1282892786on_val ).
thf(func_def_273,type,
sK8: produc1746408499on_val > exp_list_char ).
thf(func_def_274,type,
sK9: produc1746408499on_val > nat > option1728594148on_val ).
thf(func_def_275,type,
sK10: produc1746408499on_val > list_char > option_val ).
thf(func_def_276,type,
sK11: ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_277,type,
sK12: ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_278,type,
sK13: ( produc1282892786on_val > $o ) > exp_list_char ).
thf(func_def_279,type,
sK14: ( produc1282892786on_val > $o ) > produc2090907612on_val ).
thf(func_def_280,type,
sK15: ( produc2090907612on_val > $o ) > nat > option1728594148on_val ).
thf(func_def_281,type,
sK16: ( produc2090907612on_val > $o ) > list_char > option_val ).
thf(func_def_282,type,
sK17: ( produc2088785539on_val > $o ) > list_char ).
thf(func_def_283,type,
sK18: ( produc2088785539on_val > $o ) > produc1278157519t_char > option_val ).
thf(func_def_284,type,
sK19: ( produc1278157519t_char > $o ) > list_char ).
thf(func_def_285,type,
sK20: ( produc1278157519t_char > $o ) > list_char ).
thf(func_def_286,type,
sK21: ( produc1645268488al_val > $o ) > bop ).
thf(func_def_287,type,
sK22: ( produc1645268488al_val > $o ) > product_prod_val_val ).
thf(func_def_288,type,
sK23: ( product_prod_val_val > $o ) > val ).
thf(func_def_289,type,
sK24: ( product_prod_val_val > $o ) > val ).
thf(func_def_290,type,
sK25: produc1746408499on_val > produc1282892786on_val ).
thf(func_def_291,type,
sK26: produc1746408499on_val > exp_list_char ).
thf(func_def_292,type,
sK27: produc1746408499on_val > produc2090907612on_val ).
thf(func_def_293,type,
sK28: produc1282892786on_val > exp_list_char ).
thf(func_def_294,type,
sK29: produc1282892786on_val > nat > option1728594148on_val ).
thf(func_def_295,type,
sK30: produc1282892786on_val > list_char > option_val ).
thf(func_def_296,type,
sK31: produc1645268488al_val > bop ).
thf(func_def_297,type,
sK32: produc1645268488al_val > val ).
thf(func_def_298,type,
sK33: produc1645268488al_val > val ).
thf(func_def_299,type,
sK34: ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_300,type,
sK35: ( produc1746408499on_val > $o ) > exp_list_char ).
thf(func_def_301,type,
sK36: ( produc1746408499on_val > $o ) > produc2090907612on_val ).
thf(func_def_302,type,
sK37: ( produc1282892786on_val > $o ) > exp_list_char ).
thf(func_def_303,type,
sK38: ( produc1282892786on_val > $o ) > nat > option1728594148on_val ).
thf(func_def_304,type,
sK39: ( produc1282892786on_val > $o ) > list_char > option_val ).
thf(func_def_305,type,
sK40: ( produc1645268488al_val > $o ) > bop ).
thf(func_def_306,type,
sK41: ( produc1645268488al_val > $o ) > val ).
thf(func_def_307,type,
sK42: ( produc1645268488al_val > $o ) > val ).
thf(func_def_308,type,
sK43: ( produc1282892786on_val > $o ) > ( produc1282892786on_val > $o ) > exp_list_char ).
thf(func_def_309,type,
sK44: ( produc1282892786on_val > $o ) > ( produc1282892786on_val > $o ) > produc2090907612on_val ).
thf(func_def_310,type,
sK45: ( produc2090907612on_val > $o ) > ( produc2090907612on_val > $o ) > nat > option1728594148on_val ).
thf(func_def_311,type,
sK46: ( produc2090907612on_val > $o ) > ( produc2090907612on_val > $o ) > list_char > option_val ).
thf(func_def_312,type,
sK47: ( produc2088785539on_val > $o ) > ( produc2088785539on_val > $o ) > list_char ).
thf(func_def_313,type,
sK48: ( produc2088785539on_val > $o ) > ( produc2088785539on_val > $o ) > produc1278157519t_char > option_val ).
thf(func_def_314,type,
sK49: ( produc1645268488al_val > $o ) > ( produc1645268488al_val > $o ) > bop ).
thf(func_def_315,type,
sK50: ( produc1645268488al_val > $o ) > ( produc1645268488al_val > $o ) > product_prod_val_val ).
thf(func_def_316,type,
sK51: ( product_prod_val_val > $o ) > ( product_prod_val_val > $o ) > val ).
thf(func_def_317,type,
sK52: ( product_prod_val_val > $o ) > ( product_prod_val_val > $o ) > val ).
thf(func_def_318,type,
sK53: ( produc1746408499on_val > $o ) > ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_319,type,
sK54: ( produc1746408499on_val > $o ) > ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_320,type,
sK55: ( produc1278157519t_char > $o ) > ( produc1278157519t_char > $o ) > list_char ).
thf(func_def_321,type,
sK56: ( produc1278157519t_char > $o ) > ( produc1278157519t_char > $o ) > list_char ).
thf(func_def_322,type,
sK57: produc1746408499on_val > produc1282892786on_val ).
thf(func_def_323,type,
sK58: produc1746408499on_val > produc1282892786on_val ).
thf(func_def_324,type,
sK59: produc1282892786on_val > exp_list_char ).
thf(func_def_325,type,
sK60: produc1282892786on_val > produc2090907612on_val ).
thf(func_def_326,type,
sK61: produc2090907612on_val > nat > option1728594148on_val ).
thf(func_def_327,type,
sK62: produc2090907612on_val > list_char > option_val ).
thf(func_def_328,type,
sK63: produc2088785539on_val > list_char ).
thf(func_def_329,type,
sK64: produc2088785539on_val > produc1278157519t_char > option_val ).
thf(func_def_330,type,
sK65: produc1278157519t_char > list_char ).
thf(func_def_331,type,
sK66: produc1278157519t_char > list_char ).
thf(func_def_332,type,
sK67: produc1645268488al_val > bop ).
thf(func_def_333,type,
sK68: produc1645268488al_val > product_prod_val_val ).
thf(func_def_334,type,
sK69: product_prod_val_val > val ).
thf(func_def_335,type,
sK70: product_prod_val_val > val ).
thf(func_def_336,type,
sK71: produc1746408499on_val > produc1282892786on_val ).
thf(func_def_337,type,
sK72: produc1746408499on_val > produc1282892786on_val ).
thf(func_def_338,type,
sK73: produc1282892786on_val > exp_list_char ).
thf(func_def_339,type,
sK74: produc1282892786on_val > produc2090907612on_val ).
thf(func_def_340,type,
sK75: produc2090907612on_val > nat > option1728594148on_val ).
thf(func_def_341,type,
sK76: produc2090907612on_val > list_char > option_val ).
thf(func_def_342,type,
sK77: produc2088785539on_val > list_char ).
thf(func_def_343,type,
sK78: produc2088785539on_val > produc1278157519t_char > option_val ).
thf(func_def_344,type,
sK79: produc1278157519t_char > list_char ).
thf(func_def_345,type,
sK80: produc1278157519t_char > list_char ).
thf(func_def_346,type,
sK81: produc1645268488al_val > bop ).
thf(func_def_347,type,
sK82: produc1645268488al_val > product_prod_val_val ).
thf(func_def_348,type,
sK83: product_prod_val_val > val ).
thf(func_def_349,type,
sK84: product_prod_val_val > val ).
thf(func_def_350,type,
sK85: ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_351,type,
sK86: ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_352,type,
sK87: ( produc1282892786on_val > $o ) > exp_list_char ).
thf(func_def_353,type,
sK88: ( produc1282892786on_val > $o ) > produc2090907612on_val ).
thf(func_def_354,type,
sK89: ( produc2090907612on_val > $o ) > nat > option1728594148on_val ).
thf(func_def_355,type,
sK90: ( produc2090907612on_val > $o ) > list_char > option_val ).
thf(func_def_356,type,
sK91: ( produc2088785539on_val > $o ) > list_char ).
thf(func_def_357,type,
sK92: ( produc2088785539on_val > $o ) > produc1278157519t_char > option_val ).
thf(func_def_358,type,
sK93: ( produc1278157519t_char > $o ) > list_char ).
thf(func_def_359,type,
sK94: ( produc1278157519t_char > $o ) > list_char ).
thf(func_def_360,type,
sK95: ( produc1645268488al_val > $o ) > bop ).
thf(func_def_361,type,
sK96: ( produc1645268488al_val > $o ) > product_prod_val_val ).
thf(func_def_362,type,
sK97: ( product_prod_val_val > $o ) > val ).
thf(func_def_363,type,
sK98: ( product_prod_val_val > $o ) > val ).
thf(func_def_364,type,
sK99: produc1746408499on_val > ( produc1282892786on_val > produc1282892786on_val > $o ) > produc1282892786on_val ).
thf(func_def_365,type,
sK100: produc1746408499on_val > ( produc1282892786on_val > produc1282892786on_val > $o ) > produc1282892786on_val ).
thf(func_def_366,type,
sK101: produc1282892786on_val > ( exp_list_char > produc2090907612on_val > $o ) > exp_list_char ).
thf(func_def_367,type,
sK102: produc1282892786on_val > ( exp_list_char > produc2090907612on_val > $o ) > produc2090907612on_val ).
thf(func_def_368,type,
sK103: produc2090907612on_val > ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > nat > option1728594148on_val ).
thf(func_def_369,type,
sK104: produc2090907612on_val > ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > list_char > option_val ).
thf(func_def_370,type,
sK105: produc2088785539on_val > ( list_char > ( produc1278157519t_char > option_val ) > $o ) > list_char ).
thf(func_def_371,type,
sK106: produc2088785539on_val > ( list_char > ( produc1278157519t_char > option_val ) > $o ) > produc1278157519t_char > option_val ).
thf(func_def_372,type,
sK107: produc1278157519t_char > ( list_char > list_char > $o ) > list_char ).
thf(func_def_373,type,
sK108: produc1278157519t_char > ( list_char > list_char > $o ) > list_char ).
thf(func_def_374,type,
sK109: produc1645268488al_val > ( bop > product_prod_val_val > $o ) > bop ).
thf(func_def_375,type,
sK110: produc1645268488al_val > ( bop > product_prod_val_val > $o ) > product_prod_val_val ).
thf(func_def_376,type,
sK111: product_prod_val_val > ( val > val > $o ) > val ).
thf(func_def_377,type,
sK112: product_prod_val_val > ( val > val > $o ) > val ).
thf(func_def_378,type,
sK113: produc1746408499on_val > ( produc1282892786on_val > produc1282892786on_val > $o ) > produc1282892786on_val ).
thf(func_def_379,type,
sK114: produc1746408499on_val > ( produc1282892786on_val > produc1282892786on_val > $o ) > produc1282892786on_val ).
thf(func_def_380,type,
sK115: produc1282892786on_val > ( exp_list_char > produc2090907612on_val > $o ) > exp_list_char ).
thf(func_def_381,type,
sK116: produc1282892786on_val > ( exp_list_char > produc2090907612on_val > $o ) > produc2090907612on_val ).
thf(func_def_382,type,
sK117: produc2090907612on_val > ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > nat > option1728594148on_val ).
thf(func_def_383,type,
sK118: produc2090907612on_val > ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > list_char > option_val ).
thf(func_def_384,type,
sK119: produc2088785539on_val > ( list_char > ( produc1278157519t_char > option_val ) > $o ) > list_char ).
thf(func_def_385,type,
sK120: produc2088785539on_val > ( list_char > ( produc1278157519t_char > option_val ) > $o ) > produc1278157519t_char > option_val ).
thf(func_def_386,type,
sK121: produc1278157519t_char > ( list_char > list_char > $o ) > list_char ).
thf(func_def_387,type,
sK122: produc1278157519t_char > ( list_char > list_char > $o ) > list_char ).
thf(func_def_388,type,
sK123: produc1645268488al_val > ( bop > product_prod_val_val > $o ) > bop ).
thf(func_def_389,type,
sK124: produc1645268488al_val > ( bop > product_prod_val_val > $o ) > product_prod_val_val ).
thf(func_def_390,type,
sK125: product_prod_val_val > ( val > val > $o ) > val ).
thf(func_def_391,type,
sK126: product_prod_val_val > ( val > val > $o ) > val ).
thf(func_def_392,type,
sK127: ( list_char > option_ty ) > ( list_char > option_val ) > ( nat > option1728594148on_val ) > list_P1999446415t_char > list_char ).
thf(func_def_393,type,
sK128: ( list_char > option_ty ) > ( list_char > option_val ) > ( nat > option1728594148on_val ) > list_P1999446415t_char > val ).
thf(func_def_394,type,
sK129: val > list_char > ( list_char > option_ty ) > ( nat > option1728594148on_val ) > list_P1999446415t_char > ty ).
thf(func_def_395,type,
sK130: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > ( produc2090907612on_val > $o ) > nat > option1728594148on_val ).
thf(func_def_396,type,
sK131: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > ( produc2090907612on_val > $o ) > list_char > option_val ).
thf(func_def_397,type,
sK132: ( produc1282892786on_val > produc1282892786on_val > $o ) > ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_398,type,
sK133: ( produc1282892786on_val > produc1282892786on_val > $o ) > ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_399,type,
sK134: ( exp_list_char > produc2090907612on_val > $o ) > ( produc1282892786on_val > $o ) > exp_list_char ).
thf(func_def_400,type,
sK135: ( exp_list_char > produc2090907612on_val > $o ) > ( produc1282892786on_val > $o ) > produc2090907612on_val ).
thf(func_def_401,type,
sK136: ( list_char > ( produc1278157519t_char > option_val ) > $o ) > ( produc2088785539on_val > $o ) > list_char ).
thf(func_def_402,type,
sK137: ( list_char > ( produc1278157519t_char > option_val ) > $o ) > ( produc2088785539on_val > $o ) > produc1278157519t_char > option_val ).
thf(func_def_403,type,
sK138: ( list_char > list_char > $o ) > ( produc1278157519t_char > $o ) > list_char ).
thf(func_def_404,type,
sK139: ( list_char > list_char > $o ) > ( produc1278157519t_char > $o ) > list_char ).
thf(func_def_405,type,
sK140: ( bop > product_prod_val_val > $o ) > ( produc1645268488al_val > $o ) > bop ).
thf(func_def_406,type,
sK141: ( bop > product_prod_val_val > $o ) > ( produc1645268488al_val > $o ) > product_prod_val_val ).
thf(func_def_407,type,
sK142: ( val > val > $o ) > ( product_prod_val_val > $o ) > val ).
thf(func_def_408,type,
sK143: ( val > val > $o ) > ( product_prod_val_val > $o ) > val ).
thf(func_def_409,type,
sK144: ( nat > option_val ) > nat > val ).
thf(func_def_410,type,
sK145: ( product_prod_val_val > option_val ) > product_prod_val_val > val ).
thf(func_def_411,type,
sK146: ( produc1645268488al_val > option_val ) > produc1645268488al_val > val ).
thf(func_def_412,type,
sK147: ( produc2088785539on_val > option_val ) > produc2088785539on_val > val ).
thf(func_def_413,type,
sK148: ( produc2090907612on_val > option_val ) > produc2090907612on_val > val ).
thf(func_def_414,type,
sK149: ( produc1282892786on_val > option_val ) > produc1282892786on_val > val ).
thf(func_def_415,type,
sK150: ( list_char > option_list_char_o ) > list_char > list_char > $o ).
thf(func_def_416,type,
sK151: ( nat > option_list_char_o ) > nat > list_char > $o ).
thf(func_def_417,type,
sK152: ( product_prod_val_val > option_list_char_o ) > product_prod_val_val > list_char > $o ).
thf(func_def_418,type,
sK153: ( produc1645268488al_val > option_list_char_o ) > produc1645268488al_val > list_char > $o ).
thf(func_def_419,type,
sK154: ( produc2088785539on_val > option_list_char_o ) > produc2088785539on_val > list_char > $o ).
thf(func_def_420,type,
sK155: ( produc2090907612on_val > option_list_char_o ) > produc2090907612on_val > list_char > $o ).
thf(func_def_421,type,
sK156: ( produc1282892786on_val > option_list_char_o ) > produc1282892786on_val > list_char > $o ).
thf(func_def_422,type,
sK157: ( list_char > option_ty ) > list_char > ty ).
thf(func_def_423,type,
sK158: ( nat > option_ty ) > nat > ty ).
thf(func_def_424,type,
sK159: ( product_prod_val_val > option_ty ) > product_prod_val_val > ty ).
thf(func_def_425,type,
sK160: ( produc1645268488al_val > option_ty ) > produc1645268488al_val > ty ).
thf(func_def_426,type,
sK161: ( produc2088785539on_val > option_ty ) > produc2088785539on_val > ty ).
thf(func_def_427,type,
sK162: ( produc2090907612on_val > option_ty ) > produc2090907612on_val > ty ).
thf(func_def_428,type,
sK163: ( produc1282892786on_val > option_ty ) > produc1282892786on_val > ty ).
thf(func_def_429,type,
sK164: ( nat > option1728594148on_val ) > nat > produc2088785539on_val ).
thf(func_def_430,type,
sK165: ( list_char > option1728594148on_val ) > list_char > produc2088785539on_val ).
thf(func_def_431,type,
sK166: ( product_prod_val_val > option1728594148on_val ) > product_prod_val_val > produc2088785539on_val ).
thf(func_def_432,type,
sK167: ( produc1645268488al_val > option1728594148on_val ) > produc1645268488al_val > produc2088785539on_val ).
thf(func_def_433,type,
sK168: ( produc2088785539on_val > option1728594148on_val ) > produc2088785539on_val > produc2088785539on_val ).
thf(func_def_434,type,
sK169: ( produc2090907612on_val > option1728594148on_val ) > produc2090907612on_val > produc2088785539on_val ).
thf(func_def_435,type,
sK170: ( produc1282892786on_val > option1728594148on_val ) > produc1282892786on_val > produc2088785539on_val ).
thf(func_def_436,type,
sK171: ( produc1278157519t_char > option_val ) > produc1278157519t_char > val ).
thf(func_def_437,type,
sK172: ( list_char > option_val ) > list_char > val ).
thf(func_def_438,type,
sK173: produc2090907612on_val > ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > ( $o > $o ) > nat > option1728594148on_val ).
thf(func_def_439,type,
sK174: produc2090907612on_val > ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > ( $o > $o ) > list_char > option_val ).
thf(func_def_440,type,
sK175: produc1746408499on_val > ( produc1282892786on_val > produc1282892786on_val > $o ) > ( $o > $o ) > produc1282892786on_val ).
thf(func_def_441,type,
sK176: produc1746408499on_val > ( produc1282892786on_val > produc1282892786on_val > $o ) > ( $o > $o ) > produc1282892786on_val ).
thf(func_def_442,type,
sK177: produc1282892786on_val > ( exp_list_char > produc2090907612on_val > $o ) > ( $o > $o ) > exp_list_char ).
thf(func_def_443,type,
sK178: produc1282892786on_val > ( exp_list_char > produc2090907612on_val > $o ) > ( $o > $o ) > produc2090907612on_val ).
thf(func_def_444,type,
sK179: produc2088785539on_val > ( list_char > ( produc1278157519t_char > option_val ) > $o ) > ( $o > $o ) > list_char ).
thf(func_def_445,type,
sK180: produc2088785539on_val > ( list_char > ( produc1278157519t_char > option_val ) > $o ) > ( $o > $o ) > produc1278157519t_char > option_val ).
thf(func_def_446,type,
sK181: produc1278157519t_char > ( list_char > list_char > $o ) > ( $o > $o ) > list_char ).
thf(func_def_447,type,
sK182: produc1278157519t_char > ( list_char > list_char > $o ) > ( $o > $o ) > list_char ).
thf(func_def_448,type,
sK183: produc1645268488al_val > ( bop > product_prod_val_val > $o ) > ( $o > $o ) > bop ).
thf(func_def_449,type,
sK184: produc1645268488al_val > ( bop > product_prod_val_val > $o ) > ( $o > $o ) > product_prod_val_val ).
thf(func_def_450,type,
sK185: product_prod_val_val > ( val > val > $o ) > ( $o > $o ) > val ).
thf(func_def_451,type,
sK186: product_prod_val_val > ( val > val > $o ) > ( $o > $o ) > val ).
thf(func_def_452,type,
sK187: ( nat > option1728594148on_val ) > list_char > nat > produc1278157519t_char > option_val ).
thf(func_def_453,type,
sK188: ( nat > option1728594148on_val ) > ( nat > option1728594148on_val ) > nat ).
thf(func_def_454,type,
sK189: ( nat > option1728594148on_val ) > ( nat > option1728594148on_val ) > list_char ).
thf(func_def_455,type,
sK190: ( nat > option1728594148on_val ) > ( nat > option1728594148on_val ) > produc1278157519t_char > option_val ).
thf(func_def_456,type,
sK191: list_char > nat > ( nat > option1728594148on_val ) > produc1278157519t_char > option_val ).
thf(func_def_457,type,
sK192: product_prod_val_val > ( val > val > product_prod_val_val > $o ) > product_prod_val_val > val ).
thf(func_def_458,type,
sK193: product_prod_val_val > ( val > val > product_prod_val_val > $o ) > product_prod_val_val > val ).
thf(func_def_459,type,
sK194: product_prod_val_val > ( val > val > produc1645268488al_val > $o ) > produc1645268488al_val > val ).
thf(func_def_460,type,
sK195: product_prod_val_val > ( val > val > produc1645268488al_val > $o ) > produc1645268488al_val > val ).
thf(func_def_461,type,
sK196: product_prod_val_val > ( val > val > produc2088785539on_val > $o ) > produc2088785539on_val > val ).
thf(func_def_462,type,
sK197: product_prod_val_val > ( val > val > produc2088785539on_val > $o ) > produc2088785539on_val > val ).
thf(func_def_463,type,
sK198: product_prod_val_val > ( val > val > produc2090907612on_val > $o ) > produc2090907612on_val > val ).
thf(func_def_464,type,
sK199: product_prod_val_val > ( val > val > produc2090907612on_val > $o ) > produc2090907612on_val > val ).
thf(func_def_465,type,
sK200: product_prod_val_val > ( val > val > produc1282892786on_val > $o ) > produc1282892786on_val > val ).
thf(func_def_466,type,
sK201: product_prod_val_val > ( val > val > produc1282892786on_val > $o ) > produc1282892786on_val > val ).
thf(func_def_467,type,
sK202: ( nat > option1728594148on_val ) > ( nat > option1728594148on_val ) > nat ).
thf(func_def_468,type,
sK203: ( nat > option1728594148on_val ) > ( nat > option1728594148on_val ) > list_char ).
thf(func_def_469,type,
sK204: ( nat > option1728594148on_val ) > ( nat > option1728594148on_val ) > produc1278157519t_char > option_val ).
thf(func_def_470,type,
sK205: exp_list_char > list_char > ( list_char > option_ty ) > ( nat > option1728594148on_val ) > list_P1999446415t_char > ty ).
thf(func_def_471,type,
sK206: exp_list_char > list_char > ( list_char > option_ty ) > ( nat > option1728594148on_val ) > list_P1999446415t_char > ty ).
thf(func_def_472,type,
sK207: exp_list_char > list_char > val ).
thf(func_def_473,type,
sK208: exp_list_char > list_char > exp_list_char ).
thf(func_def_474,type,
sK209: list_P1999446415t_char > ( nat > option1728594148on_val ) > exp_list_char > ( list_char > option_val ) > exp_list_char ).
thf(func_def_475,type,
sK210: list_P1999446415t_char > ( nat > option1728594148on_val ) > exp_list_char > ( list_char > option_val ) > produc2090907612on_val ).
thf(func_def_476,type,
sK211: produc2090907612on_val > exp_list_char > produc2090907612on_val > exp_list_char > list_char > list_P1999446415t_char > nat > option1728594148on_val ).
thf(func_def_477,type,
sK212: produc2090907612on_val > exp_list_char > produc2090907612on_val > exp_list_char > list_char > list_P1999446415t_char > list_char > option_val ).
thf(func_def_478,type,
sK213: produc2090907612on_val > exp_list_char > produc2090907612on_val > exp_list_char > list_char > list_P1999446415t_char > nat > option1728594148on_val ).
thf(func_def_479,type,
sK214: produc2090907612on_val > exp_list_char > produc2090907612on_val > exp_list_char > list_char > list_P1999446415t_char > list_char > option_val ).
thf(func_def_480,type,
sK215: produc2090907612on_val > exp_list_char > produc2090907612on_val > exp_list_char > list_P1999446415t_char > exp_list_char ).
thf(func_def_481,type,
sK216: produc2090907612on_val > produc2090907612on_val > exp_list_char > list_char > list_P1999446415t_char > val ).
thf(func_def_482,type,
sK217: produc2090907612on_val > produc2090907612on_val > exp_list_char > list_char > list_P1999446415t_char > nat > option1728594148on_val ).
thf(func_def_483,type,
sK218: produc2090907612on_val > produc2090907612on_val > exp_list_char > list_char > list_P1999446415t_char > list_char > option_val ).
thf(func_def_484,type,
sK219: produc2090907612on_val > exp_list_char > produc2090907612on_val > exp_list_char > list_P1999446415t_char > exp_list_char ).
thf(func_def_485,type,
sK220: produc2090907612on_val > exp_list_char > produc2090907612on_val > exp_list_char > exp_list_char > list_P1999446415t_char > val ).
thf(func_def_486,type,
sK221: produc2090907612on_val > exp_list_char > produc2090907612on_val > exp_list_char > exp_list_char > list_P1999446415t_char > produc2090907612on_val ).
thf(func_def_487,type,
sK222: ty > exp_list_char > list_char > list_char > exp_list_char > ( list_char > option_ty ) > ( nat > option1728594148on_val ) > list_P1999446415t_char > ty ).
thf(func_def_488,type,
sK223: exp_list_char > nat ).
thf(func_def_489,type,
sK224: exp_list_char > nat ).
thf(func_def_490,type,
sK225: ty > list_char > list_char > exp_list_char > ( list_char > option_ty ) > ( nat > option1728594148on_val ) > list_P1999446415t_char > list_char ).
thf(func_def_491,type,
sK226: exp_list_char > list_char > list_char > ( nat > option1728594148on_val ) > ( list_char > option_ty ) > exp_list_char > list_P1999446415t_char > list_char ).
thf(func_def_492,type,
sK227: exp_list_char > list_char > list_char > ( nat > option1728594148on_val ) > ( list_char > option_ty ) > exp_list_char > list_P1999446415t_char > ty ).
thf(func_def_493,type,
sK228: exp_list_char > list_char > list_char > ( nat > option1728594148on_val ) > ( list_char > option_ty ) > exp_list_char > list_P1999446415t_char > ty ).
thf(func_def_494,type,
sK229: exp_list_char > ( list_char > option_ty ) > ( nat > option1728594148on_val ) > list_P1999446415t_char > ty ).
thf(func_def_495,type,
sK230: produc2090907612on_val > exp_list_char > produc2090907612on_val > exp_list_char > list_P1999446415t_char > exp_list_char ).
thf(func_def_496,type,
sK231: produc2090907612on_val > exp_list_char > produc2090907612on_val > exp_list_char > list_P1999446415t_char > nat ).
thf(func_def_497,type,
sK232: exp_list_char > nat ).
thf(func_def_498,type,
sK233: ty > list_char ).
thf(func_def_499,type,
sK234: exp_list_char > nat ).
thf(func_def_500,type,
sK235: ty > list_char ).
thf(func_def_501,type,
sK236: exp_list_char > ( list_char > option_ty ) > ( nat > option1728594148on_val ) > list_P1999446415t_char > ty ).
thf(func_def_502,type,
sK237: ty > list_char ).
thf(func_def_503,type,
sK238: exp_list_char > list_char > ( list_char > option_ty ) > ( nat > option1728594148on_val ) > list_P1999446415t_char > ty ).
thf(func_def_504,type,
sK239: exp_list_char > exp_list_char > produc2090907612on_val > list_P1999446415t_char > exp_list_char > produc2090907612on_val > bop > val ).
thf(func_def_505,type,
sK240: exp_list_char > exp_list_char > produc2090907612on_val > list_P1999446415t_char > exp_list_char > produc2090907612on_val > bop > produc2090907612on_val ).
thf(func_def_506,type,
sK241: exp_list_char > exp_list_char > produc2090907612on_val > list_P1999446415t_char > exp_list_char > produc2090907612on_val > bop > val ).
thf(func_def_507,type,
sK242: exp_list_char > exp_list_char > produc2090907612on_val > list_P1999446415t_char > exp_list_char > produc2090907612on_val > bop > val ).
thf(func_def_508,type,
sK243: produc2090907612on_val > exp_list_char > produc2090907612on_val > exp_list_char > exp_list_char > list_P1999446415t_char > val ).
thf(func_def_509,type,
sK244: produc2090907612on_val > exp_list_char > produc2090907612on_val > exp_list_char > exp_list_char > list_P1999446415t_char > produc2090907612on_val ).
thf(func_def_510,type,
sK245: produc2090907612on_val > exp_list_char > produc2090907612on_val > exp_list_char > exp_list_char > list_P1999446415t_char > exp_list_char ).
thf(func_def_511,type,
sK246: produc2090907612on_val > exp_list_char > produc2090907612on_val > exp_list_char > list_P1999446415t_char > exp_list_char ).
thf(func_def_512,type,
vNOT: $o > $o ).
thf(func_def_513,type,
sK247: ( product_prod_val_val > $o ) > product_prod_val_val ).
thf(func_def_514,type,
sK248: ( produc1645268488al_val > $o ) > produc1645268488al_val ).
thf(func_def_515,type,
sK249: ( produc1278157519t_char > $o ) > produc1278157519t_char ).
thf(func_def_516,type,
sK250: ( produc2088785539on_val > $o ) > produc2088785539on_val ).
thf(func_def_517,type,
sK251: ( produc2090907612on_val > $o ) > produc2090907612on_val ).
thf(func_def_518,type,
sK252: ( produc1282892786on_val > $o ) > produc1282892786on_val ).
thf(func_def_519,type,
sK253: ( produc1746408499on_val > $o ) > produc1746408499on_val ).
thf(func_def_520,type,
sK254: ( product_prod_val_val > $o ) > product_prod_val_val ).
thf(func_def_521,type,
sK255: ( produc1645268488al_val > $o ) > produc1645268488al_val ).
thf(func_def_522,type,
sK256: ( produc1278157519t_char > $o ) > produc1278157519t_char ).
thf(func_def_523,type,
sK257: ( produc2088785539on_val > $o ) > produc2088785539on_val ).
thf(func_def_524,type,
sK258: ( produc2090907612on_val > $o ) > produc2090907612on_val ).
thf(func_def_525,type,
sK259: ( produc1282892786on_val > $o ) > produc1282892786on_val ).
thf(func_def_526,type,
sK260: ( produc1746408499on_val > $o ) > produc1746408499on_val ).
thf(f2,axiom,
member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_InitBlockRed_I1_J) ).
thf(f701,conjecture,
member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f702,negated_conjecture,
~ ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ) ),
inference(negated_conjecture,[status(cth)],[f701]) ).
thf(f703,plain,
member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ),
inference(rectify,[],[f2]) ).
thf(f704,plain,
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ) )
= $true ),
inference(fool_elimination,[],[f703]) ).
thf(f1777,plain,
~ ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ) ),
inference(rectify,[],[f702]) ).
thf(f1778,plain,
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ) )
!= $true ),
inference(fool_elimination,[],[f1777]) ).
thf(f1854,plain,
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ) )
!= $true ),
inference(flattening,[],[f1778]) ).
thf(f2642,plain,
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ) )
= $true ),
inference(cnf_transformation,[],[f704]) ).
thf(f3527,plain,
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ) )
!= $true ),
inference(cnf_transformation,[],[f1854]) ).
thf(f3955,plain,
$false,
inference(global_subsumption,[],[f2642,f3527]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW478^2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n016.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 16:12:35 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24 Running first-order model finding
% 0.08/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.29/0.49 % (536256)Will run a generic schedule for satisfiability detection.
% 1.29/0.49 % (536264)dis+10_1_sil=32000:sp=arity:random_seed=862989308:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.29/0.49 % (536262)% WARNING: option uhcvi not known.
% 1.29/0.49 % (536262)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1404210755:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.29/0.49 % (536265)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1219725279:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.29/0.49 % (536263)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1110001681:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.29/0.49 % (536266)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3567123049:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.29/0.49 % (536267)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2674771556:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.29/0.49 % (536261)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1124552167_2999 on theBenchmark for (2999ds/0Mi)
% 1.29/0.49 % (536264)Instruction limit reached!
% 1.29/0.49 % (536264)------------------------------
% 1.29/0.49 % (536264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.49 % (536264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.49 % (536264)CaDiCaL version: 2.1.3
% 1.29/0.49 % (536264)Termination reason: Instruction limit
% 1.29/0.49 % (536264)Termination phase: Property scanning
% 1.29/0.49 % (536264)Time elapsed: 0.022 s
% 1.29/0.49 % (536264)Peak memory usage: 11 MB
% 1.29/0.49 % (536264)Instructions burned: 104 (million)
% 1.29/0.49 % (536275)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1761041137:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.29/0.49 % (536265)Instruction limit reached!
% 1.29/0.49 % (536265)------------------------------
% 1.29/0.49 % (536265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.49 % (536265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.49 % (536265)CaDiCaL version: 2.1.3
% 1.29/0.49 % (536265)Termination reason: Instruction limit
% 1.29/0.49 % (536265)Termination phase: Property scanning
% 1.29/0.49 % (536265)Time elapsed: 0.046 s
% 1.29/0.49 % (536265)Peak memory usage: 11 MB
% 1.29/0.49 % (536265)Instructions burned: 118 (million)
% 1.29/0.49 % (536262)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.29/0.49 % (536266)Instruction limit reached!
% 1.29/0.49 % (536266)------------------------------
% 1.29/0.49 % (536266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.49 % (536266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.49 % (536266)CaDiCaL version: 2.1.3
% 1.29/0.49 % (536266)Termination reason: Instruction limit
% 1.29/0.49 % (536266)Termination phase: Naming
% 1.29/0.49 % (536266)Time elapsed: 0.053 s
% 1.29/0.49 % (536266)Peak memory usage: 12 MB
% 1.29/0.49 % (536266)Instructions burned: 131 (million)
% 1.29/0.49 % (536267)Instruction limit reached!
% 1.29/0.49 % (536267)------------------------------
% 1.29/0.49 % (536267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.49 % (536267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.49 % (536267)CaDiCaL version: 2.1.3
% 1.29/0.49 % (536267)Termination reason: Instruction limit
% 1.29/0.49 % (536267)Termination phase: Property scanning
% 1.29/0.49 % (536267)Time elapsed: 0.065 s
% 1.29/0.49 % (536267)Peak memory usage: 13 MB
% 1.29/0.49 % (536267)Instructions burned: 160 (million)
% 1.29/0.49 % (536277)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1324596928:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.29/0.49 % (536278)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3817865656:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.29/0.49 % (536279)ott-21_1_sil=16000:fs=off:random_seed=423916555:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.29/0.49 % Exception at run slice level
% 1.29/0.49 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.29/0.49 % (536283)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3685397839:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.29/0.49 % (536262)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.29/0.49 % (536277)Instruction limit reached!
% 1.29/0.49 % (536277)------------------------------
% 1.29/0.49 % (536277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.49 % (536277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.49 % (536277)CaDiCaL version: 2.1.3
% 1.29/0.49 % (536277)Termination reason: Instruction limit
% 1.29/0.49 % (536277)Termination phase: Preprocessing 3
% 1.29/0.49 % (536277)Time elapsed: 0.065 s
% 1.29/0.49 % (536277)Peak memory usage: 12 MB
% 1.29/0.49 % (536277)Instructions burned: 132 (million)
% 1.29/0.49 % (536278)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.29/0.49 % (536263) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-536256-536263"...
% 1.29/0.49 % Exception at run slice level
% 1.29/0.49 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.29/0.49 % (536263)...printing done.
% 1.29/0.49 % (536263)Refutation found. Thanks to Tanya!
% 1.29/0.49 % SZS status Theorem for theBenchmark
% 1.29/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.49 % (536263)------------------------------
% 1.29/0.49 % (536263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.49 % (536263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.49 % (536263)CaDiCaL version: 2.1.3
% 1.29/0.49 % (536263)Termination reason: Refutation
% 1.29/0.49 % (536263)Time elapsed: 0.149 s
% 1.29/0.49 % (536263)Peak memory usage: 15 MB
% 1.29/0.49 % (536263)Instructions burned: 351 (million)
% 1.29/0.49 % (536256)Success in time 0.238 s
% 1.29/0.49 % Vampire exiting
%------------------------------------------------------------------------------