TPTP Problem File: SWW475^3.p
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%------------------------------------------------------------------------------
% File : SWW475^3 : TPTP v8.2.0. Released v5.3.0.
% Domain : Software Verification
% Problem : Java type soundness line 22, 1000 axioms selected
% Version : Especial.
% English :
% Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% Source : [Bla11]
% Names : jinja_1000_thf_l22 [Bla11]
% Status : Theorem
% Rating : 1.00 v5.3.0
% Syntax : Number of formulae : 1531 ( 539 unt; 327 typ; 0 def)
% Number of atoms : 3342 ( 895 equ; 0 cnn)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 17136 ( 679 ~; 10 |; 80 &;14606 @)
% ( 166 <=>;1539 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 11 avg)
% Number of types : 62 ( 61 usr)
% Number of type conns : 1803 (1803 >; 0 *; 0 +; 0 <<)
% Number of symbols : 271 ( 266 usr; 24 con; 0-7 aty)
% ( 27 !!; 29 ??; 0 @@+; 0 @@-)
% Number of variables : 5879 ( 5 ^;5778 !; 96 ?;5879 :)
% SPC : TH1_THM_EQU_NAR
% Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 2011-08-09 19:37:00
%------------------------------------------------------------------------------
%----Should-be-implicit typings (61)
thf(ty_ty_tc__Expr__Obop,type,
bop: $tType ).
thf(ty_ty_tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J,type,
exp_list_char: $tType ).
thf(ty_ty_tc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_J,type,
list_exp_list_char: $tType ).
thf(ty_ty_tc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J,type,
list_list_char: $tType ).
thf(ty_ty_tc__List__Olist_Itc__Option__Ooption_Itc__Type__Oty_J_J,type,
list_option_ty: $tType ).
thf(ty_ty_tc__List__Olist_Itc__String__Ochar_J,type,
list_char: $tType ).
thf(ty_ty_tc__List__Olist_Itc__Type__Oty_J,type,
list_ty: $tType ).
thf(ty_ty_tc__List__Olist_Itc__Value__Oval_J,type,
list_val: $tType ).
thf(ty_ty_tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Type_,type,
list_P1940453997har_ty: $tType ).
thf(ty_ty_tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_,type,
list_P2098242612har_ty: $tType ).
thf(ty_ty_tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod__001,type,
list_P1999446415t_char: $tType ).
thf(ty_ty_tc__List__Olist_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_,type,
list_P2023964830har_ty: $tType ).
thf(ty_ty_tc__Nat__Onat,type,
nat: $tType ).
thf(ty_ty_tc__Option__Ooption_Itc__Nat__Onat_J,type,
option_nat: $tType ).
thf(ty_ty_tc__Option__Ooption_Itc__Type__Oty_J,type,
option_ty: $tType ).
thf(ty_ty_tc__Option__Ooption_Itc__Value__Oval_J,type,
option_val: $tType ).
thf(ty_ty_tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_M_062_,type,
option1728594148on_val: $tType ).
thf(ty_ty_tc__Type__Oty,type,
ty: $tType ).
thf(ty_ty_tc__Value__Oval,type,
val: $tType ).
thf(ty_ty_tc__prod_I_062_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_Itc__List__Ol,type,
produc2090907612on_val: $tType ).
thf(ty_ty_tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_J,type,
produc1645268488al_val: $tType ).
thf(ty_ty_tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_Mtc__prod,type,
produc1282892786on_val: $tType ).
thf(ty_ty_tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc,type,
produc1180562163on_val: $tType ).
thf(ty_ty_tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_Mtc__Exp,type,
produc809539159t_char: $tType ).
thf(ty_ty_tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_Mtc__pro,type,
produc1285161482t_char: $tType ).
thf(ty_ty_tc__prod_Itc__List__Olist_Itc__String__Ochar_J_M_062_Itc__prod_Itc__List__,type,
produc2088785539on_val: $tType ).
thf(ty_ty_tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_Itc__Strin,type,
produc1278157519t_char: $tType ).
thf(ty_ty_tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Type__Oty_J,type,
produc917948472har_ty: $tType ).
thf(ty_ty_tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List__Olist_,type,
produc469582463har_ty: $tType ).
thf(ty_ty_tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List__Olist__002,type,
produc1013743697t_char: $tType ).
thf(ty_ty_tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__List__Olist_Itc_,type,
produc220283002t_char: $tType ).
thf(ty_ty_tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__Oexp_Itc__List__Ol,type,
produc662261637t_char: $tType ).
thf(ty_ty_tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J,type,
product_prod_val_val: $tType ).
thf(ty_ty_tc__prod_Itc__prod_I_062_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_Itc,type,
produc1581780743on_val: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc__Value__,type,
produc630464863al_val: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J,type,
produc1746408499on_val: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__,type,
produc618524391on_val: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_,type,
produc1534059751t_char: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J__003,type,
produc349695911t_char: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_M_062_Itc__prod_I,type,
produc1368416213on_val: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_,type,
produc245756905har_ty: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist__004,type,
produc1350825965t_char: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Type__Oty_J_,type,
produc300386343har_ty: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__Li,type,
produc463632231har_ty: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__List__,type,
produc1406897475t_char: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__Oexp_Itc,type,
produc1826280281t_char: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod_Itc__Valu,type,
produc800118557al_val: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__prod_I_062_Itc__Nat__Onat_Mtc__Option__Ooption_Itc,type,
produc93741661on_val: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mt,type,
produc2128539405al_val: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String_,type,
produc652964533on_val: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__O,type,
produc1250491293on_val: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String,type,
produc633474461t_char: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String_005,type,
produc1404366365t_char: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_M_062_I,type,
produc2036485625on_val: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Li,type,
produc785809127har_ty: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Li_006,type,
produc997054249t_char: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_I,type,
produc1367398613t_char: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr,type,
produc228386305t_char: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod,type,
produc1049221769al_val: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_It,type,
produc1206428857on_val: $tType ).
thf(ty_ty_tc__prod_Itc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_It,type,
produc533730185on_val: $tType ).
%----Explicit typings (321)
thf(sy_c_BigStep_Oeval,type,
eval: list_P1999446415t_char > exp_list_char > produc2090907612on_val > exp_list_char > produc2090907612on_val > $o ).
thf(sy_c_BigStep_Oevals,type,
evals: list_P1999446415t_char > list_exp_list_char > produc2090907612on_val > list_exp_list_char > produc2090907612on_val > $o ).
thf(sy_c_BigStep_Ofinal_000tc__List__Olist_Itc__String__Ochar_J,type,
final_list_char: exp_list_char > $o ).
thf(sy_c_BigStep_Ofinals_000tc__List__Olist_Itc__String__Ochar_J,type,
finals_list_char: list_exp_list_char > $o ).
thf(sy_c_Conform_Ohconf_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__O,type,
hconf_97414254t_char: list_P1999446415t_char > ( nat > option1728594148on_val ) > $o ).
thf(sy_c_Decl_Ois__class_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__,type,
is_cla570604648t_char: list_P1999446415t_char > list_char > $o ).
thf(sy_c_Exceptions_OClassCast,type,
classCast: list_char ).
thf(sy_c_Exceptions_ONullPointer,type,
nullPointer: list_char ).
thf(sy_c_Exceptions_OOutOfMemory,type,
outOfMemory: list_char ).
thf(sy_c_Exceptions_Oaddr__of__sys__xcpt,type,
addr_of_sys_xcpt: list_char > nat ).
thf(sy_c_Exceptions_Opreallocated,type,
preallocated: ( nat > option1728594148on_val ) > $o ).
thf(sy_c_Exceptions_Osys__xcpts,type,
sys_xcpts: list_char > $o ).
thf(sy_c_Expr_Obinop,type,
binop: produc1645268488al_val > option_val ).
thf(sy_c_Expr_Obop_OAdd,type,
add: bop ).
thf(sy_c_Expr_Obop_OEq,type,
c_Expr_Obop_OEq: bop ).
thf(sy_c_Expr_Oexp_OBinOp_000tc__List__Olist_Itc__String__Ochar_J,type,
binOp_list_char: exp_list_char > bop > exp_list_char > exp_list_char ).
thf(sy_c_Expr_Oexp_OBlock_000tc__List__Olist_Itc__String__Ochar_J,type,
block_list_char: list_char > ty > exp_list_char > exp_list_char ).
thf(sy_c_Expr_Oexp_OCall_000tc__List__Olist_Itc__String__Ochar_J,type,
call_list_char: exp_list_char > list_char > list_exp_list_char > exp_list_char ).
thf(sy_c_Expr_Oexp_OCast_000tc__List__Olist_Itc__String__Ochar_J,type,
cast_list_char: list_char > exp_list_char > exp_list_char ).
thf(sy_c_Expr_Oexp_OCond_000tc__List__Olist_Itc__String__Ochar_J,type,
cond_list_char: exp_list_char > exp_list_char > exp_list_char > exp_list_char ).
thf(sy_c_Expr_Oexp_OFAcc_000tc__List__Olist_Itc__String__Ochar_J,type,
fAcc_list_char: exp_list_char > list_char > list_char > exp_list_char ).
thf(sy_c_Expr_Oexp_OFAss_000tc__List__Olist_Itc__String__Ochar_J,type,
fAss_list_char: exp_list_char > list_char > list_char > exp_list_char > exp_list_char ).
thf(sy_c_Expr_Oexp_OLAss_000tc__List__Olist_Itc__String__Ochar_J,type,
lAss_list_char: list_char > exp_list_char > exp_list_char ).
thf(sy_c_Expr_Oexp_OSeq_000tc__List__Olist_Itc__String__Ochar_J,type,
seq_list_char: exp_list_char > exp_list_char > exp_list_char ).
thf(sy_c_Expr_Oexp_OTryCatch_000tc__List__Olist_Itc__String__Ochar_J,type,
tryCatch_list_char: exp_list_char > list_char > list_char > exp_list_char > exp_list_char ).
thf(sy_c_Expr_Oexp_OVal_000tc__List__Olist_Itc__String__Ochar_J,type,
val_list_char: val > exp_list_char ).
thf(sy_c_Expr_Oexp_OWhile_000tc__List__Olist_Itc__String__Ochar_J,type,
while_list_char: exp_list_char > exp_list_char > exp_list_char ).
thf(sy_c_Expr_Oexp_Onew_000tc__List__Olist_Itc__String__Ochar_J,type,
new_list_char: list_char > exp_list_char ).
thf(sy_c_Expr_Oexp_Othrow_000tc__List__Olist_Itc__String__Ochar_J,type,
throw_list_char: exp_list_char > exp_list_char ).
thf(sy_c_Expr_Ofv,type,
fv: exp_list_char > list_char > $o ).
thf(sy_c_Fun_Ocomp_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__Value__Oval_000t,type,
comp_o1129292306t_char: ( option_val > val ) > ( list_char > option_val ) > list_char > val ).
thf(sy_c_Fun_Ofun__upd_000tc__List__Olist_Itc__String__Ochar_J_000tc__Option__Ooptio,type,
fun_up424764369ion_ty: ( list_char > option_ty ) > list_char > option_ty > list_char > option_ty ).
thf(sy_c_Fun_Ofun__upd_000tc__List__Olist_Itc__String__Ochar_J_000tc__Option__Ooptio_007,type,
fun_up1149430426on_val: ( list_char > option_val ) > list_char > option_val > list_char > option_val ).
thf(sy_c_Fun_Ofun__upd_000tc__Nat__Onat_000tc__Option__Ooption_Itc__prod_Itc__List__,type,
fun_up1472480727on_val: ( nat > option1728594148on_val ) > nat > option1728594148on_val > nat > option1728594148on_val ).
thf(sy_c_Fun_Ofun__upd_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__,type,
fun_up204312361on_val: ( produc1278157519t_char > option_val ) > produc1278157519t_char > option_val > produc1278157519t_char > option_val ).
thf(sy_c_Fun_Ooverride__on_000tc__List__Olist_Itc__String__Ochar_J_000tc__Option__Oo,type,
overri2012515291on_val: ( list_char > option_val ) > ( list_char > option_val ) > ( list_char > $o ) > list_char > option_val ).
thf(sy_c_Lattices_Osemilattice__sup__class_Osup_000_062_Itc__List__Olist_Itc__String,type,
semila2134664963char_o: ( list_char > $o ) > ( list_char > $o ) > list_char > $o ).
thf(sy_c_List_Oappend_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J,type,
append_exp_list_char: list_exp_list_char > list_exp_list_char > list_exp_list_char ).
thf(sy_c_List_Oappend_000tc__List__Olist_Itc__String__Ochar_J,type,
append_list_char: list_list_char > list_list_char > list_list_char ).
thf(sy_c_List_Oappend_000tc__Option__Ooption_Itc__Type__Oty_J,type,
append_option_ty: list_option_ty > list_option_ty > list_option_ty ).
thf(sy_c_List_Oappend_000tc__Type__Oty,type,
append_ty: list_ty > list_ty > list_ty ).
thf(sy_c_List_Oappend_000tc__Value__Oval,type,
append_val: list_val > list_val > list_val ).
thf(sy_c_List_Oappend_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Type__O,type,
append1373980413har_ty: list_P1940453997har_ty > list_P1940453997har_ty > list_P1940453997har_ty ).
thf(sy_c_List_Oappend_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_It,type,
append814478020har_ty: list_P2098242612har_ty > list_P2098242612har_ty > list_P2098242612har_ty ).
thf(sy_c_List_Oappend_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mt,type,
append590652462har_ty: list_P2023964830har_ty > list_P2023964830har_ty > list_P2023964830har_ty ).
thf(sy_c_List_Odistinct_000tc__List__Olist_Itc__String__Ochar_J,type,
distinct_list_char: list_list_char > $o ).
thf(sy_c_List_Olist_OCons_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J,type,
cons_exp_list_char: exp_list_char > list_exp_list_char > list_exp_list_char ).
thf(sy_c_List_Olist_OCons_000tc__List__Olist_Itc__String__Ochar_J,type,
cons_list_char: list_char > list_list_char > list_list_char ).
thf(sy_c_List_Olist_OCons_000tc__Option__Ooption_Itc__Type__Oty_J,type,
cons_option_ty: option_ty > list_option_ty > list_option_ty ).
thf(sy_c_List_Olist_OCons_000tc__Type__Oty,type,
cons_ty: ty > list_ty > list_ty ).
thf(sy_c_List_Olist_OCons_000tc__Value__Oval,type,
cons_val: val > list_val > list_val ).
thf(sy_c_List_Olist_OCons_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Typ,type,
cons_P306092184har_ty: produc917948472har_ty > list_P1940453997har_ty > list_P1940453997har_ty ).
thf(sy_c_List_Olist_OCons_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__pro,type,
cons_P1020158687har_ty: produc469582463har_ty > list_P2098242612har_ty > list_P2098242612har_ty ).
thf(sy_c_List_Olist_OCons_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_,type,
cons_P796333129har_ty: produc245756905har_ty > list_P2023964830har_ty > list_P2023964830har_ty ).
thf(sy_c_List_Olist__all2_000tc__Type__Oty_000tc__Type__Oty,type,
list_all2_ty_ty: ( ty > ty > $o ) > list_ty > list_ty > $o ).
thf(sy_c_List_Omap_000tc__List__Olist_Itc__String__Ochar_J_000tc__Value__Oval,type,
map_list_char_val: ( list_char > val ) > list_list_char > list_val ).
thf(sy_c_List_Omap_000tc__Type__Oty_000tc__Option__Ooption_Itc__Type__Oty_J,type,
map_ty_option_ty: ( ty > option_ty ) > list_ty > list_option_ty ).
thf(sy_c_List_Omap_000tc__Value__Oval_000tc__Expr__Oexp_Itc__List__Olist_Itc__String,type,
map_va1934808527t_char: ( val > exp_list_char ) > list_val > list_exp_list_char ).
thf(sy_c_List_Omap_000tc__Value__Oval_000tc__Option__Ooption_Itc__Type__Oty_J,type,
map_val_option_ty: ( val > option_ty ) > list_val > list_option_ty ).
thf(sy_c_List_Omap_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Type__Oty_,type,
map_Pr1471044963har_ty: ( produc917948472har_ty > produc245756905har_ty ) > list_P1940453997har_ty > list_P2023964830har_ty ).
thf(sy_c_List_Omap_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__,type,
map_Pr1267419400har_ty: ( produc245756905har_ty > produc469582463har_ty ) > list_P2023964830har_ty > list_P2098242612har_ty ).
thf(sy_c_List_Oset_000tc__List__Olist_Itc__String__Ochar_J,type,
set_list_char: list_list_char > list_char > $o ).
thf(sy_c_Map_Odom_000tc__List__Olist_Itc__String__Ochar_J_000tc__Value__Oval,type,
dom_list_char_val: ( list_char > option_val ) > list_char > $o ).
thf(sy_c_Map_Odom_000tc__Nat__Onat_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J,type,
dom_na2045926843on_val: ( nat > option1728594148on_val ) > nat > $o ).
thf(sy_c_Map_Omap__add_000tc__List__Olist_Itc__String__Ochar_J_000tc__Type__Oty,type,
map_add_list_char_ty: ( list_char > option_ty ) > ( list_char > option_ty ) > list_char > option_ty ).
thf(sy_c_Map_Omap__add_000tc__List__Olist_Itc__String__Ochar_J_000tc__Value__Oval,type,
map_ad325961431ar_val: ( list_char > option_val ) > ( list_char > option_val ) > list_char > option_val ).
thf(sy_c_Map_Omap__add_000tc__Nat__Onat_000tc__prod_Itc__List__Olist_Itc__String__Oc,type,
map_ad1851375512on_val: ( nat > option1728594148on_val ) > ( nat > option1728594148on_val ) > nat > option1728594148on_val ).
thf(sy_c_Map_Omap__add_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__,type,
map_ad1185064968ar_val: ( produc1278157519t_char > option_val ) > ( produc1278157519t_char > option_val ) > produc1278157519t_char > option_val ).
thf(sy_c_Map_Omap__upds_000tc__List__Olist_Itc__String__Ochar_J_000tc__Value__Oval,type,
map_up1085636310ar_val: ( list_char > option_val ) > list_list_char > list_val > list_char > option_val ).
thf(sy_c_Map_Orestrict__map_000tc__List__Olist_Itc__String__Ochar_J_000tc__Value__Ov,type,
restri761823004ar_val: ( list_char > option_val ) > ( list_char > $o ) > list_char > option_val ).
thf(sy_c_Nat_Osize__class_Osize_000tc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_,type,
size_s1143674878t_char: list_exp_list_char > nat ).
thf(sy_c_Nat_Osize__class_Osize_000tc__List__Olist_Itc__List__Olist_Itc__String__Och,type,
size_s2113983095t_char: list_list_char > nat ).
thf(sy_c_Nat_Osize__class_Osize_000tc__List__Olist_Itc__Type__Oty_J,type,
size_size_list_ty: list_ty > nat ).
thf(sy_c_Nat_Osize__class_Osize_000tc__List__Olist_Itc__Value__Oval_J,type,
size_size_list_val: list_val > nat ).
thf(sy_c_Objects_Ohext,type,
hext: ( nat > option1728594148on_val ) > ( nat > option1728594148on_val ) > $o ).
thf(sy_c_Objects_Oinit__fields,type,
init_fields: list_P2023964830har_ty > produc1278157519t_char > option_val ).
thf(sy_c_Objects_Onew__Addr,type,
new_Addr: ( nat > option1728594148on_val ) > option_nat ).
thf(sy_c_Objects_Oobj__ty,type,
obj_ty: produc2088785539on_val > ty ).
thf(sy_c_Objects_Otypeof__h,type,
typeof_h: ( nat > option1728594148on_val ) > val > option_ty ).
thf(sy_c_Option_Ooption_ONone_000tc__Nat__Onat,type,
none_nat: option_nat ).
thf(sy_c_Option_Ooption_ONone_000tc__Type__Oty,type,
none_ty: option_ty ).
thf(sy_c_Option_Ooption_ONone_000tc__Value__Oval,type,
none_val: option_val ).
thf(sy_c_Option_Ooption_ONone_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_M_06,type,
none_P1260844216on_val: option1728594148on_val ).
thf(sy_c_Option_Ooption_OSome_000tc__Nat__Onat,type,
some_nat: nat > option_nat ).
thf(sy_c_Option_Ooption_OSome_000tc__Type__Oty,type,
some_ty: ty > option_ty ).
thf(sy_c_Option_Ooption_OSome_000tc__Value__Oval,type,
some_val: val > option_val ).
thf(sy_c_Option_Ooption_OSome_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_M_06,type,
some_P451527732on_val: produc2088785539on_val > option1728594148on_val ).
thf(sy_c_Option_Ooption_Ooption__case_000tc__Option__Ooption_Itc__Type__Oty_J_000tc_,type,
option857204770on_val: option_ty > ( produc2088785539on_val > option_ty ) > option1728594148on_val > option_ty ).
thf(sy_c_Option_Othe_000tc__Value__Oval,type,
the_val: option_val > val ).
thf(sy_c_Option_Othe_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_M_062_Itc__pr,type,
the_Pr1885945130on_val: option1728594148on_val > produc2088785539on_val ).
thf(sy_c_Orderings_Oord__class_Oless__eq_000_062_Itc__List__Olist_Itc__String__Ochar,type,
ord_le1777678169char_o: ( list_char > $o ) > ( list_char > $o ) > $o ).
thf(sy_c_Product__Type_OPair_000_062_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_I,type,
produc755559506on_val: ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc2090907612on_val ).
thf(sy_c_Product__Type_OPair_000tc__Expr__Obop_000tc__prod_Itc__Value__Oval_Mtc__Val,type,
produc621191550al_val: bop > product_prod_val_val > produc1645268488al_val ).
thf(sy_c_Product__Type_OPair_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J,type,
produc235638504on_val: exp_list_char > produc2090907612on_val > produc1282892786on_val ).
thf(sy_c_Product__Type_OPair_000tc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc,type,
produc1302104557on_val: list_exp_list_char > produc2090907612on_val > produc1180562163on_val ).
thf(sy_c_Product__Type_OPair_000tc__List__Olist_Itc__List__Olist_Itc__String__Ochar_,type,
produc1147572817t_char: list_list_char > exp_list_char > produc809539159t_char ).
thf(sy_c_Product__Type_OPair_000tc__List__Olist_Itc__List__Olist_Itc__String__Ochar__008,type,
produc921874948t_char: list_list_char > produc220283002t_char > produc1285161482t_char ).
thf(sy_c_Product__Type_OPair_000tc__List__Olist_Itc__String__Ochar_J_000_062_Itc__pr,type,
produc926070009on_val: list_char > ( produc1278157519t_char > option_val ) > produc2088785539on_val ).
thf(sy_c_Product__Type_OPair_000tc__List__Olist_Itc__String__Ochar_J_000tc__List__Ol,type,
produc5062597t_char: list_char > list_char > produc1278157519t_char ).
thf(sy_c_Product__Type_OPair_000tc__List__Olist_Itc__String__Ochar_J_000tc__Type__Ot,type,
produc251930284har_ty: list_char > ty > produc917948472har_ty ).
thf(sy_c_Product__Type_OPair_000tc__List__Olist_Itc__String__Ochar_J_000tc__prod_Itc,type,
produc1002914035har_ty: list_char > produc917948472har_ty > produc469582463har_ty ).
thf(sy_c_Product__Type_OPair_000tc__List__Olist_Itc__Type__Oty_J_000tc__prod_Itc__Li,type,
produc1909267824t_char: list_ty > produc662261637t_char > produc220283002t_char ).
thf(sy_c_Product__Type_OPair_000tc__List__Olist_Itc__Value__Oval_J_000tc__Expr__Oexp,type,
produc1916172923t_char: list_val > exp_list_char > produc662261637t_char ).
thf(sy_c_Product__Type_OPair_000tc__Value__Oval_000tc__Value__Oval,type,
product_Pair_val_val: val > val > product_prod_val_val ).
thf(sy_c_Product__Type_OPair_000tc__prod_I_062_Itc__Nat__Onat_Mtc__Option__Ooption_I,type,
produc259392253on_val: produc2090907612on_val > produc2090907612on_val > produc1581780743on_val ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_,type,
produc1924279125al_val: produc1645268488al_val > produc1645268488al_val > produc630464863al_val ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__Strin,type,
produc833389609on_val: produc1282892786on_val > produc1282892786on_val > produc1746408499on_val ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List_,type,
produc747700183on_val: produc1180562163on_val > produc1180562163on_val > produc618524391on_val ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Stri,type,
produc1897818327t_char: produc809539159t_char > produc809539159t_char > produc1534059751t_char ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Stri_009,type,
produc24551831t_char: produc1285161482t_char > produc1285161482t_char > produc349695911t_char ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_M_062,type,
produc1773146955on_val: produc2088785539on_val > produc2088785539on_val > produc1368416213on_val ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__,type,
produc1265154397har_ty: produc1278157519t_char > ty > produc245756905har_ty ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc___010,type,
produc2080520419t_char: produc1278157519t_char > produc1278157519t_char > produc1350825965t_char ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc___011,type,
produc1414300567har_ty: produc917948472har_ty > produc917948472har_ty > produc300386343har_ty ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc___012,type,
produc2038128087har_ty: produc469582463har_ty > produc469582463har_ty > produc463632231har_ty ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod,type,
produc57279289t_char: produc220283002t_char > produc220283002t_char > produc1406897475t_char ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Ex,type,
produc1299387215t_char: produc662261637t_char > produc662261637t_char > produc1826280281t_char ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__,type,
produc1244920211al_val: product_prod_val_val > product_prod_val_val > produc800118557al_val ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__prod_I_062_Itc__Nat__Onat_Mtc__Option_,type,
produc60772691on_val: produc1581780743on_val > produc1581780743on_val > produc93741661on_val ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Va,type,
produc370870787al_val: produc630464863al_val > produc630464863al_val > produc2128539405al_val ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_,type,
produc345758123on_val: produc1746408499on_val > produc1746408499on_val > produc652964533on_val ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_,type,
produc1347028499on_val: produc618524391on_val > produc618524391on_val > produc1250491293on_val ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist,type,
produc253822483t_char: produc1534059751t_char > produc1534059751t_char > produc633474461t_char ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_013,type,
produc1288549779t_char: produc349695911t_char > produc349695911t_char > produc1404366365t_char ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Och,type,
produc1846311919on_val: produc1368416213on_val > produc1368416213on_val > produc2036485625on_val ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Och_014,type,
produc63273559har_ty: produc245756905har_ty > produc245756905har_ty > produc785809127har_ty ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Och_015,type,
produc354099231t_char: produc1350825965t_char > produc1350825965t_char > produc997054249t_char ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J,type,
produc913263563t_char: produc1406897475t_char > produc1406897475t_char > produc1367398613t_char ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval,type,
produc627518711t_char: produc1826280281t_char > produc1826280281t_char > produc228386305t_char ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval,type,
produc94135935al_val: produc800118557al_val > produc800118557al_val > produc1049221769al_val ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__Li,type,
produc900610479on_val: produc652964533on_val > produc652964533on_val > produc1206428857on_val ).
thf(sy_c_Product__Type_OPair_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__E,type,
produc1782214527on_val: produc1250491293on_val > produc1250491293on_val > produc533730185on_val ).
thf(sy_c_Product__Type_Ocurry_000_062_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_,type,
produc1402621651_val_o: ( produc2090907612on_val > $o ) > ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__Expr__Obop_000tc__prod_Itc__Value__Oval_Mtc__Va,type,
produc275195559_val_o: ( produc1645268488al_val > $o ) > bop > product_prod_val_val > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_,type,
produc1287763389_val_o: ( produc1282892786on_val > $o ) > exp_list_char > produc2090907612on_val > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_It,type,
produc618849246_val_o: ( produc1180562163on_val > $o ) > list_exp_list_char > produc2090907612on_val > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__List__Olist_Itc__List__Olist_Itc__String__Ochar,type,
produc1404278138char_o: ( produc809539159t_char > $o ) > list_list_char > exp_list_char > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__List__Olist_Itc__List__Olist_Itc__String__Ochar_016,type,
produc193646727char_o: ( produc1285161482t_char > $o ) > list_list_char > produc220283002t_char > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__List__Olist_Itc__String__Ochar_J_000_062_Itc__p,type,
produc1177570924_val_o: ( produc2088785539on_val > $o ) > list_char > ( produc1278157519t_char > option_val ) > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__List__Olist_Itc__String__Ochar_J_000tc__List__O,type,
produc1709467424char_o: ( produc1278157519t_char > $o ) > list_char > list_char > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__List__Olist_Itc__String__Ochar_J_000tc__Type__O,type,
produc1348431199r_ty_o: ( produc917948472har_ty > $o ) > list_char > ty > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__List__Olist_Itc__String__Ochar_J_000tc__prod_It,type,
produc287192r_ty_o: ( produc469582463har_ty > $o ) > list_char > produc917948472har_ty > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__List__Olist_Itc__Type__Oty_J_000tc__prod_Itc__L,type,
produc786676533char_o: ( produc220283002t_char > $o ) > list_ty > produc662261637t_char > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__List__Olist_Itc__Value__Oval_J_000tc__Expr__Oex,type,
produc1072551658char_o: ( produc662261637t_char > $o ) > list_val > exp_list_char > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__Value__Oval_000tc__Value__Oval_000_Eo,type,
produc575837646_val_o: ( product_prod_val_val > $o ) > val > val > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__prod_I_062_Itc__Nat__Onat_Mtc__Option__Ooption_,type,
produc1959713768_val_o: ( produc1581780743on_val > $o ) > produc2090907612on_val > produc2090907612on_val > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval,type,
produc1498697104_val_o: ( produc630464863al_val > $o ) > produc1645268488al_val > produc1645268488al_val > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__Stri,type,
produc803302844_val_o: ( produc1746408499on_val > $o ) > produc1282892786on_val > produc1282892786on_val > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List,type,
produc551782158_val_o: ( produc618524391on_val > $o ) > produc1180562163on_val > produc1180562163on_val > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Str,type,
produc810272782char_o: ( produc1534059751t_char > $o ) > produc809539159t_char > produc809539159t_char > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Str_017,type,
produc261176398char_o: ( produc349695911t_char > $o ) > produc1285161482t_char > produc1285161482t_char > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_M_06,type,
produc1333173274_val_o: ( produc1368416213on_val > $o ) > produc2088785539on_val > produc2088785539on_val > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc_,type,
produc1254654702r_ty_o: ( produc245756905har_ty > $o ) > produc1278157519t_char > ty > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__018,type,
produc1255505282char_o: ( produc1350825965t_char > $o ) > produc1278157519t_char > produc1278157519t_char > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__pro,type,
produc1560057516char_o: ( produc1406897475t_char > $o ) > produc220283002t_char > produc220283002t_char > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__E,type,
produc1625470998char_o: ( produc1826280281t_char > $o ) > produc662261637t_char > produc662261637t_char > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc_,type,
produc1669808594_val_o: ( produc800118557al_val > $o ) > product_prod_val_val > product_prod_val_val > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist,type,
produc1882616506_val_o: ( produc652964533on_val > $o ) > produc1746408499on_val > produc1746408499on_val > $o ).
thf(sy_c_Product__Type_Ocurry_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp,type,
produc317637970_val_o: ( produc1250491293on_val > $o ) > produc618524391on_val > produc618524391on_val > $o ).
thf(sy_c_Product__Type_Ofst_000_062_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It,type,
produc1174407397on_val: produc2090907612on_val > nat > option1728594148on_val ).
thf(sy_c_Product__Type_Ofst_000tc__List__Olist_Itc__String__Ochar_J_000_062_Itc__pro,type,
produc63700364on_val: produc2088785539on_val > list_char ).
thf(sy_c_Product__Type_Oprod_Oprod__case_000tc__List__Olist_Itc__String__Ochar_J_000,type,
produc863160906ion_ty: ( list_char > ( produc1278157519t_char > option_val ) > option_ty ) > produc2088785539on_val > option_ty ).
thf(sy_c_Progress_OWTrt_H,type,
wTrt_1: list_P1999446415t_char > ( nat > option1728594148on_val ) > ( list_char > option_ty ) > exp_list_char > ty > $o ).
thf(sy_c_Progress_OWTrts_H,type,
wTrts_1: list_P1999446415t_char > ( nat > option1728594148on_val ) > ( list_char > option_ty ) > list_exp_list_char > list_ty > $o ).
thf(sy_c_Set_OCollect_000tc__Type__Oty,type,
collect_ty: ( ty > $o ) > ty > $o ).
thf(sy_c_SmallStep_Oassigned,type,
assigned: list_char > exp_list_char > $o ).
thf(sy_c_SmallStep_Oblocks,type,
blocks: produc1285161482t_char > exp_list_char ).
thf(sy_c_SmallStep_Ored,type,
red: list_P1999446415t_char > produc1746408499on_val > $o ).
thf(sy_c_SmallStep_Oredp,type,
redp: list_P1999446415t_char > exp_list_char > produc2090907612on_val > exp_list_char > produc2090907612on_val > $o ).
thf(sy_c_SmallStep_Oreds,type,
reds: list_P1999446415t_char > produc618524391on_val > $o ).
thf(sy_c_SmallStep_Oredsp,type,
redsp: list_P1999446415t_char > list_exp_list_char > produc2090907612on_val > list_exp_list_char > produc2090907612on_val > $o ).
thf(sy_c_State_Ohp,type,
hp: produc2090907612on_val > nat > option1728594148on_val ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__List__Olist_Itc__String__Ochar_J,type,
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thf(sy_c_Transitive__Closure_Ortrancl_000tc__Value__Oval,type,
transi935034983cl_val: ( product_prod_val_val > $o ) > product_prod_val_val > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_I_062_Itc__Nat__Onat_Mtc__Option__,type,
transi466770671on_val: ( produc1581780743on_val > $o ) > produc1581780743on_val > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Val,type,
transi1906258203al_val: ( produc630464863al_val > $o ) > produc630464863al_val > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_I,type,
transi2118771717on_val: ( produc1746408499on_val > $o ) > produc1746408499on_val > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_I,type,
transi808828192on_val: ( produc618524391on_val > $o ) > produc618524391on_val > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__List__Olist_Itc__List__Olist_,type,
transi198989188t_char: ( produc1534059751t_char > $o ) > produc1534059751t_char > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__List__Olist_Itc__List__Olist__019,type,
transi122195895t_char: ( produc349695911t_char > $o ) > produc349695911t_char > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__List__Olist_Itc__String__Ocha,type,
transi1669211542on_val: ( produc1368416213on_val > $o ) > produc1368416213on_val > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__List__Olist_Itc__String__Ocha_020,type,
transi1095029602t_char: ( produc1350825965t_char > $o ) > produc1350825965t_char > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__List__Olist_Itc__String__Ocha_021,type,
transi1325206117har_ty: ( produc300386343har_ty > $o ) > produc300386343har_ty > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__List__Olist_Itc__String__Ocha_022,type,
transi1158914604har_ty: ( produc463632231har_ty > $o ) > produc463632231har_ty > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_,type,
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thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__List__Olist_Itc__Value__Oval_,type,
transi1789604888t_char: ( produc1826280281t_char > $o ) > produc1826280281t_char > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_,type,
transi1423755450al_val: ( produc800118557al_val > $o ) > produc800118557al_val > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__prod_I_062_Itc__Nat__Onat_Mtc,type,
transi289221018on_val: ( produc93741661on_val > $o ) > produc93741661on_val > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__prod_Itc__Expr__Obop_Mtc__pro,type,
transi486718450al_val: ( produc2128539405al_val > $o ) > produc2128539405al_val > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__Lis,type,
transi130214086on_val: ( produc652964533on_val > $o ) > produc652964533on_val > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Ex,type,
transi1457397498on_val: ( produc1250491293on_val > $o ) > produc1250491293on_val > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Li,type,
transi1630776058t_char: ( produc633474461t_char > $o ) > produc633474461t_char > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Li_023,type,
transi2072254650t_char: ( produc1404366365t_char > $o ) > produc1404366365t_char > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__prod_Itc__List__Olist_Itc__St,type,
transi2104087144on_val: ( produc2036485625on_val > $o ) > produc2036485625on_val > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__prod_Itc__List__Olist_Itc__St_024,type,
transi935089046har_ty: ( produc785809127har_ty > $o ) > produc785809127har_ty > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__prod_Itc__List__Olist_Itc__St_025,type,
transi15035776t_char: ( produc997054249t_char > $o ) > produc997054249t_char > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Ty,type,
transi1452021206t_char: ( produc1367398613t_char > $o ) > produc1367398613t_char > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Va,type,
transi1803333868t_char: ( produc228386305t_char > $o ) > produc228386305t_char > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Va,type,
transi1927461808al_val: ( produc1049221769al_val > $o ) > produc1049221769al_val > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oex,type,
transi1461661768on_val: ( produc1206428857on_val > $o ) > produc1206428857on_val > $o ).
thf(sy_c_Transitive__Closure_Ortrancl_000tc__prod_Itc__prod_Itc__prod_Itc__List__Oli,type,
transi94318640on_val: ( produc533730185on_val > $o ) > produc533730185on_val > $o ).
thf(sy_c_Transitive__Closure_Ortranclp_000tc__List__Olist_Itc__String__Ochar_J,type,
transi1065307915t_char: ( list_char > list_char > $o ) > list_char > list_char > $o ).
thf(sy_c_TypeRel_OFields_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__,type,
fields1147507508t_char: list_P1999446415t_char > list_char > list_P2023964830har_ty > $o ).
thf(sy_c_TypeRel_OMethod_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__,type,
method1809630380t_char: list_P1999446415t_char > list_char > list_char > list_ty > ty > produc809539159t_char > list_char > $o ).
thf(sy_c_TypeRel_Ohas__field_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Stri,type,
has_fi1183600461t_char: list_P1999446415t_char > list_char > list_char > ty > list_char > $o ).
thf(sy_c_TypeRel_Osubcls1_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String_,type,
subcls851966956t_char: list_P1999446415t_char > produc1278157519t_char > $o ).
thf(sy_c_TypeRel_Osubcls1p_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String,type,
subcls744239332t_char: list_P1999446415t_char > list_char > list_char > $o ).
thf(sy_c_TypeRel_Owiden_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__O,type,
widen_2090681816t_char: list_P1999446415t_char > ty > ty > $o ).
thf(sy_c_Type_Ois__refT,type,
is_refT: ty > $o ).
thf(sy_c_Type_Othis,type,
this: list_char ).
thf(sy_c_Type_Oty_OBoolean,type,
boolean: ty ).
thf(sy_c_Type_Oty_OClass,type,
class: list_char > ty ).
thf(sy_c_Type_Oty_OInteger,type,
integer: ty ).
thf(sy_c_Type_Oty_ONT,type,
nt: ty ).
thf(sy_c_Type_Oty_OVoid,type,
void: ty ).
thf(sy_c_Value_Othe__Addr,type,
the_Addr: val > nat ).
thf(sy_c_Value_Oval_OAddr,type,
addr: nat > val ).
thf(sy_c_Value_Oval_OBool,type,
bool: $o > val ).
thf(sy_c_Value_Oval_ONull,type,
null: val ).
thf(sy_c_Value_Oval_OUnit,type,
unit: val ).
thf(sy_c_WWellForm_Owwf__J__mdecl,type,
wwf_J_mdecl: list_P1999446415t_char > list_char > produc1013743697t_char > $o ).
thf(sy_c_WellForm_Owf__prog_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Strin,type,
wf_pro755087577t_char: ( list_P1999446415t_char > list_char > produc1013743697t_char > $o ) > list_P1999446415t_char > $o ).
thf(sy_c_WellTypeRT_OWTrt,type,
wTrt: list_P1999446415t_char > ( nat > option1728594148on_val ) > ( list_char > option_ty ) > exp_list_char > ty > $o ).
thf(sy_c_WellTypeRT_OWTrts,type,
wTrts: list_P1999446415t_char > ( nat > option1728594148on_val ) > ( list_char > option_ty ) > list_exp_list_char > list_ty > $o ).
thf(sy_c_member_000tc__List__Olist_Itc__String__Ochar_J,type,
member_list_char: list_char > ( list_char > $o ) > $o ).
thf(sy_c_member_000tc__Nat__Onat,type,
member_nat: nat > ( nat > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_I,type,
member1251428284t_char: produc1278157519t_char > ( produc1278157519t_char > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Type__Oty_J,type,
member503779467har_ty: produc917948472har_ty > ( produc917948472har_ty > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J,type,
member649088532al_val: product_prod_val_val > ( product_prod_val_val > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_I_062_Itc__Nat__Onat_Mtc__Option__Ooption_Itc_,type,
member565037556on_val: produc1581780743on_val > ( produc1581780743on_val > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc,type,
member1732271180al_val: produc630464863al_val > ( produc630464863al_val > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__,type,
member1913460000on_val: produc1746408499on_val > ( produc1746408499on_val > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Ol,type,
member2042188884on_val: produc618524391on_val > ( produc618524391on_val > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String_,type,
member1999287380t_char: produc1534059751t_char > ( produc1534059751t_char > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__026,type,
member1420286996t_char: produc349695911t_char > ( produc349695911t_char > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_M_062_It,type,
member1235075778on_val: produc1368416213on_val > ( produc1368416213on_val > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Lis,type,
member1783291580har_ty: produc245756905har_ty > ( produc245756905har_ty > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Lis_027,type,
member794220506t_char: produc1350825965t_char > ( produc1350825965t_char > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Typ,type,
member119266708har_ty: produc300386343har_ty > ( produc300386343har_ty > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__pro,type,
member1664419796har_ty: produc463632231har_ty > ( produc463632231har_ty > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_It,type,
member125098544t_char: produc1406897475t_char > ( produc1406897475t_char > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr_,type,
member1161907014t_char: produc1826280281t_char > ( produc1826280281t_char > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod_,type,
member837208074al_val: produc800118557al_val > ( produc800118557al_val > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__prod_I_062_Itc__Nat__Onat_Mtc__Option__Oo,type,
member1519152714on_val: produc93741661on_val > ( produc93741661on_val > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value,type,
member23198458al_val: produc2128539405al_val > ( produc2128539405al_val > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc,type,
member1714424482on_val: produc652964533on_val > ( produc652964533on_val > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc,type,
member1145216138on_val: produc1250491293on_val > ( produc1250491293on_val > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_It,type,
member902595210t_char: produc633474461t_char > ( produc633474461t_char > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_It_028,type,
member1934728458t_char: produc1404366365t_char > ( produc1404366365t_char > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_,type,
member1719118310on_val: produc2036485625on_val > ( produc2036485625on_val > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar__029,type,
member1986596692har_ty: produc785809127har_ty > ( produc785809127har_ty > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar__030,type,
member1689070870t_char: produc997054249t_char > ( produc997054249t_char > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mt,type,
member371591362t_char: produc1367398613t_char > ( produc1367398613t_char > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_,type,
member1105423342t_char: produc228386305t_char > ( produc228386305t_char > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_,type,
member384848502al_val: produc1049221769al_val > ( produc1049221769al_val > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List_,type,
member1735092902on_val: produc1206428857on_val > ( produc1206428857on_val > $o ) > $o ).
thf(sy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr,type,
member1650322294on_val: produc533730185on_val > ( produc533730185on_val > $o ) > $o ).
thf(sy_v_E,type,
e_1: list_char > option_ty ).
thf(sy_v_P,type,
p: list_P1999446415t_char ).
thf(sy_v_T,type,
t: ty ).
thf(sy_v_e,type,
e: exp_list_char ).
thf(sy_v_e_H,type,
e_2: exp_list_char ).
thf(sy_v_h,type,
h_1: nat > option1728594148on_val ).
thf(sy_v_h_H,type,
h: nat > option1728594148on_val ).
thf(sy_v_l,type,
l_1: list_char > option_val ).
thf(sy_v_l_H,type,
l: list_char > option_val ).
%----Relevant facts (1200)
thf(fact_0_prod__induct5,axiom,
! [X_16: produc1250491293on_val,P_12: produc1250491293on_val > $o] :
( ! [A_2: produc618524391on_val,B_4: produc1180562163on_val,C_7: list_exp_list_char,D_1: nat > option1728594148on_val,E_5: list_char > option_val] : ( P_12 @ ( produc1347028499on_val @ A_2 @ ( produc747700183on_val @ B_4 @ ( produc1302104557on_val @ C_7 @ ( produc755559506on_val @ D_1 @ E_5 ) ) ) ) )
=> ( P_12 @ X_16 ) ) ).
thf(fact_1_prod__induct5,axiom,
! [X_16: produc652964533on_val,P_12: produc652964533on_val > $o] :
( ! [A_2: produc1746408499on_val,B_4: produc1282892786on_val,C_7: exp_list_char,D_1: nat > option1728594148on_val,E_5: list_char > option_val] : ( P_12 @ ( produc345758123on_val @ A_2 @ ( produc833389609on_val @ B_4 @ ( produc235638504on_val @ C_7 @ ( produc755559506on_val @ D_1 @ E_5 ) ) ) ) )
=> ( P_12 @ X_16 ) ) ).
thf(fact_2_prod__induct5,axiom,
! [X_16: produc349695911t_char,P_12: produc349695911t_char > $o] :
( ! [A_2: produc1285161482t_char,B_4: list_list_char,C_7: list_ty,D_1: list_val,E_5: exp_list_char] : ( P_12 @ ( produc24551831t_char @ A_2 @ ( produc921874948t_char @ B_4 @ ( produc1909267824t_char @ C_7 @ ( produc1916172923t_char @ D_1 @ E_5 ) ) ) ) )
=> ( P_12 @ X_16 ) ) ).
thf(fact_3_prod__cases5,axiom,
! [Y_8: produc1250491293on_val] :
~ ! [A_2: produc618524391on_val,B_4: produc1180562163on_val,C_7: list_exp_list_char,D_1: nat > option1728594148on_val,E_5: list_char > option_val] :
( Y_8
!= ( produc1347028499on_val @ A_2 @ ( produc747700183on_val @ B_4 @ ( produc1302104557on_val @ C_7 @ ( produc755559506on_val @ D_1 @ E_5 ) ) ) ) ) ).
thf(fact_4_prod__cases5,axiom,
! [Y_8: produc652964533on_val] :
~ ! [A_2: produc1746408499on_val,B_4: produc1282892786on_val,C_7: exp_list_char,D_1: nat > option1728594148on_val,E_5: list_char > option_val] :
( Y_8
!= ( produc345758123on_val @ A_2 @ ( produc833389609on_val @ B_4 @ ( produc235638504on_val @ C_7 @ ( produc755559506on_val @ D_1 @ E_5 ) ) ) ) ) ).
thf(fact_5_prod__cases5,axiom,
! [Y_8: produc349695911t_char] :
~ ! [A_2: produc1285161482t_char,B_4: list_list_char,C_7: list_ty,D_1: list_val,E_5: exp_list_char] :
( Y_8
!= ( produc24551831t_char @ A_2 @ ( produc921874948t_char @ B_4 @ ( produc1909267824t_char @ C_7 @ ( produc1916172923t_char @ D_1 @ E_5 ) ) ) ) ) ).
thf(fact_6_prod__induct4,axiom,
! [X_15: produc1746408499on_val,P_11: produc1746408499on_val > $o] :
( ! [A_2: produc1282892786on_val,B_4: exp_list_char,C_7: nat > option1728594148on_val,D_1: list_char > option_val] : ( P_11 @ ( produc833389609on_val @ A_2 @ ( produc235638504on_val @ B_4 @ ( produc755559506on_val @ C_7 @ D_1 ) ) ) )
=> ( P_11 @ X_15 ) ) ).
thf(fact_7_prod__induct4,axiom,
! [X_15: produc618524391on_val,P_11: produc618524391on_val > $o] :
( ! [A_2: produc1180562163on_val,B_4: list_exp_list_char,C_7: nat > option1728594148on_val,D_1: list_char > option_val] : ( P_11 @ ( produc747700183on_val @ A_2 @ ( produc1302104557on_val @ B_4 @ ( produc755559506on_val @ C_7 @ D_1 ) ) ) )
=> ( P_11 @ X_15 ) ) ).
thf(fact_8_prod__induct4,axiom,
! [X_15: produc1285161482t_char,P_11: produc1285161482t_char > $o] :
( ! [A_2: list_list_char,B_4: list_ty,C_7: list_val,D_1: exp_list_char] : ( P_11 @ ( produc921874948t_char @ A_2 @ ( produc1909267824t_char @ B_4 @ ( produc1916172923t_char @ C_7 @ D_1 ) ) ) )
=> ( P_11 @ X_15 ) ) ).
thf(fact_9_prod__induct4,axiom,
! [X_15: produc652964533on_val,P_11: produc652964533on_val > $o] :
( ! [A_2: produc1746408499on_val,B_4: produc1282892786on_val,C_7: exp_list_char,D_1: produc2090907612on_val] : ( P_11 @ ( produc345758123on_val @ A_2 @ ( produc833389609on_val @ B_4 @ ( produc235638504on_val @ C_7 @ D_1 ) ) ) )
=> ( P_11 @ X_15 ) ) ).
thf(fact_10_prod__induct4,axiom,
! [X_15: produc1250491293on_val,P_11: produc1250491293on_val > $o] :
( ! [A_2: produc618524391on_val,B_4: produc1180562163on_val,C_7: list_exp_list_char,D_1: produc2090907612on_val] : ( P_11 @ ( produc1347028499on_val @ A_2 @ ( produc747700183on_val @ B_4 @ ( produc1302104557on_val @ C_7 @ D_1 ) ) ) )
=> ( P_11 @ X_15 ) ) ).
thf(fact_11_prod__induct4,axiom,
! [X_15: produc349695911t_char,P_11: produc349695911t_char > $o] :
( ! [A_2: produc1285161482t_char,B_4: list_list_char,C_7: list_ty,D_1: produc662261637t_char] : ( P_11 @ ( produc24551831t_char @ A_2 @ ( produc921874948t_char @ B_4 @ ( produc1909267824t_char @ C_7 @ D_1 ) ) ) )
=> ( P_11 @ X_15 ) ) ).
thf(fact_12_prod__induct4,axiom,
! [X_15: produc1406897475t_char,P_11: produc1406897475t_char > $o] :
( ! [A_2: produc220283002t_char,B_4: list_ty,C_7: list_val,D_1: exp_list_char] : ( P_11 @ ( produc57279289t_char @ A_2 @ ( produc1909267824t_char @ B_4 @ ( produc1916172923t_char @ C_7 @ D_1 ) ) ) )
=> ( P_11 @ X_15 ) ) ).
thf(fact_13_prod__induct4,axiom,
! [X_15: produc630464863al_val,P_11: produc630464863al_val > $o] :
( ! [A_2: produc1645268488al_val,B_4: bop,C_7: val,D_1: val] : ( P_11 @ ( produc1924279125al_val @ A_2 @ ( produc621191550al_val @ B_4 @ ( product_Pair_val_val @ C_7 @ D_1 ) ) ) )
=> ( P_11 @ X_15 ) ) ).
thf(fact_14_prod__cases4,axiom,
! [Y_7: produc1746408499on_val] :
~ ! [A_2: produc1282892786on_val,B_4: exp_list_char,C_7: nat > option1728594148on_val,D_1: list_char > option_val] :
( Y_7
!= ( produc833389609on_val @ A_2 @ ( produc235638504on_val @ B_4 @ ( produc755559506on_val @ C_7 @ D_1 ) ) ) ) ).
thf(fact_15_prod__cases4,axiom,
! [Y_7: produc618524391on_val] :
~ ! [A_2: produc1180562163on_val,B_4: list_exp_list_char,C_7: nat > option1728594148on_val,D_1: list_char > option_val] :
( Y_7
!= ( produc747700183on_val @ A_2 @ ( produc1302104557on_val @ B_4 @ ( produc755559506on_val @ C_7 @ D_1 ) ) ) ) ).
thf(fact_16_prod__cases4,axiom,
! [Y_7: produc1285161482t_char] :
~ ! [A_2: list_list_char,B_4: list_ty,C_7: list_val,D_1: exp_list_char] :
( Y_7
!= ( produc921874948t_char @ A_2 @ ( produc1909267824t_char @ B_4 @ ( produc1916172923t_char @ C_7 @ D_1 ) ) ) ) ).
thf(fact_17_prod__cases4,axiom,
! [Y_7: produc652964533on_val] :
~ ! [A_2: produc1746408499on_val,B_4: produc1282892786on_val,C_7: exp_list_char,D_1: produc2090907612on_val] :
( Y_7
!= ( produc345758123on_val @ A_2 @ ( produc833389609on_val @ B_4 @ ( produc235638504on_val @ C_7 @ D_1 ) ) ) ) ).
thf(fact_18_prod__cases4,axiom,
! [Y_7: produc1250491293on_val] :
~ ! [A_2: produc618524391on_val,B_4: produc1180562163on_val,C_7: list_exp_list_char,D_1: produc2090907612on_val] :
( Y_7
!= ( produc1347028499on_val @ A_2 @ ( produc747700183on_val @ B_4 @ ( produc1302104557on_val @ C_7 @ D_1 ) ) ) ) ).
thf(fact_19_prod__cases4,axiom,
! [Y_7: produc349695911t_char] :
~ ! [A_2: produc1285161482t_char,B_4: list_list_char,C_7: list_ty,D_1: produc662261637t_char] :
( Y_7
!= ( produc24551831t_char @ A_2 @ ( produc921874948t_char @ B_4 @ ( produc1909267824t_char @ C_7 @ D_1 ) ) ) ) ).
thf(fact_20_prod__cases4,axiom,
! [Y_7: produc1406897475t_char] :
~ ! [A_2: produc220283002t_char,B_4: list_ty,C_7: list_val,D_1: exp_list_char] :
( Y_7
!= ( produc57279289t_char @ A_2 @ ( produc1909267824t_char @ B_4 @ ( produc1916172923t_char @ C_7 @ D_1 ) ) ) ) ).
thf(fact_21_prod__cases4,axiom,
! [Y_7: produc630464863al_val] :
~ ! [A_2: produc1645268488al_val,B_4: bop,C_7: val,D_1: val] :
( Y_7
!= ( produc1924279125al_val @ A_2 @ ( produc621191550al_val @ B_4 @ ( product_Pair_val_val @ C_7 @ D_1 ) ) ) ) ).
thf(fact_22_red__hext__incr,axiom,
! [E_1: exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,E: exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ ( produc755559506on_val @ H_1 @ L_1 ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ H @ L ) ) ) @ ( red @ P ) )
=> ( hext @ H_1 @ H ) ) ).
thf(fact_23_prod__induct3,axiom,
! [X_14: produc469582463har_ty,P_10: produc469582463har_ty > $o] :
( ! [A_2: list_char,B_4: list_char,C_7: ty] : ( P_10 @ ( produc1002914035har_ty @ A_2 @ ( produc251930284har_ty @ B_4 @ C_7 ) ) )
=> ( P_10 @ X_14 ) ) ).
thf(fact_24_prod__induct3,axiom,
! [X_14: produc1746408499on_val,P_10: produc1746408499on_val > $o] :
( ! [A_2: produc1282892786on_val,B_4: exp_list_char,C_7: produc2090907612on_val] : ( P_10 @ ( produc833389609on_val @ A_2 @ ( produc235638504on_val @ B_4 @ C_7 ) ) )
=> ( P_10 @ X_14 ) ) ).
thf(fact_25_prod__induct3,axiom,
! [X_14: produc1282892786on_val,P_10: produc1282892786on_val > $o] :
( ! [A_2: exp_list_char,B_4: nat > option1728594148on_val,C_7: list_char > option_val] : ( P_10 @ ( produc235638504on_val @ A_2 @ ( produc755559506on_val @ B_4 @ C_7 ) ) )
=> ( P_10 @ X_14 ) ) ).
thf(fact_26_prod__induct3,axiom,
! [X_14: produc618524391on_val,P_10: produc618524391on_val > $o] :
( ! [A_2: produc1180562163on_val,B_4: list_exp_list_char,C_7: produc2090907612on_val] : ( P_10 @ ( produc747700183on_val @ A_2 @ ( produc1302104557on_val @ B_4 @ C_7 ) ) )
=> ( P_10 @ X_14 ) ) ).
thf(fact_27_prod__induct3,axiom,
! [X_14: produc1180562163on_val,P_10: produc1180562163on_val > $o] :
( ! [A_2: list_exp_list_char,B_4: nat > option1728594148on_val,C_7: list_char > option_val] : ( P_10 @ ( produc1302104557on_val @ A_2 @ ( produc755559506on_val @ B_4 @ C_7 ) ) )
=> ( P_10 @ X_14 ) ) ).
thf(fact_28_prod__induct3,axiom,
! [X_14: produc1285161482t_char,P_10: produc1285161482t_char > $o] :
( ! [A_2: list_list_char,B_4: list_ty,C_7: produc662261637t_char] : ( P_10 @ ( produc921874948t_char @ A_2 @ ( produc1909267824t_char @ B_4 @ C_7 ) ) )
=> ( P_10 @ X_14 ) ) ).
thf(fact_29_prod__induct3,axiom,
! [X_14: produc220283002t_char,P_10: produc220283002t_char > $o] :
( ! [A_2: list_ty,B_4: list_val,C_7: exp_list_char] : ( P_10 @ ( produc1909267824t_char @ A_2 @ ( produc1916172923t_char @ B_4 @ C_7 ) ) )
=> ( P_10 @ X_14 ) ) ).
thf(fact_30_prod__induct3,axiom,
! [X_14: produc1645268488al_val,P_10: produc1645268488al_val > $o] :
( ! [A_2: bop,B_4: val,C_7: val] : ( P_10 @ ( produc621191550al_val @ A_2 @ ( product_Pair_val_val @ B_4 @ C_7 ) ) )
=> ( P_10 @ X_14 ) ) ).
thf(fact_31_prod__induct3,axiom,
! [X_14: produc652964533on_val,P_10: produc652964533on_val > $o] :
( ! [A_2: produc1746408499on_val,B_4: produc1282892786on_val,C_7: produc1282892786on_val] : ( P_10 @ ( produc345758123on_val @ A_2 @ ( produc833389609on_val @ B_4 @ C_7 ) ) )
=> ( P_10 @ X_14 ) ) ).
thf(fact_32_prod__induct3,axiom,
! [X_14: produc1581780743on_val,P_10: produc1581780743on_val > $o] :
( ! [A_2: produc2090907612on_val,B_4: nat > option1728594148on_val,C_7: list_char > option_val] : ( P_10 @ ( produc259392253on_val @ A_2 @ ( produc755559506on_val @ B_4 @ C_7 ) ) )
=> ( P_10 @ X_14 ) ) ).
thf(fact_33_prod__induct3,axiom,
! [X_14: produc1250491293on_val,P_10: produc1250491293on_val > $o] :
( ! [A_2: produc618524391on_val,B_4: produc1180562163on_val,C_7: produc1180562163on_val] : ( P_10 @ ( produc1347028499on_val @ A_2 @ ( produc747700183on_val @ B_4 @ C_7 ) ) )
=> ( P_10 @ X_14 ) ) ).
thf(fact_34_prod__induct3,axiom,
! [X_14: produc349695911t_char,P_10: produc349695911t_char > $o] :
( ! [A_2: produc1285161482t_char,B_4: list_list_char,C_7: produc220283002t_char] : ( P_10 @ ( produc24551831t_char @ A_2 @ ( produc921874948t_char @ B_4 @ C_7 ) ) )
=> ( P_10 @ X_14 ) ) ).
thf(fact_35_prod__induct3,axiom,
! [X_14: produc1406897475t_char,P_10: produc1406897475t_char > $o] :
( ! [A_2: produc220283002t_char,B_4: list_ty,C_7: produc662261637t_char] : ( P_10 @ ( produc57279289t_char @ A_2 @ ( produc1909267824t_char @ B_4 @ C_7 ) ) )
=> ( P_10 @ X_14 ) ) ).
thf(fact_36_prod__induct3,axiom,
! [X_14: produc1826280281t_char,P_10: produc1826280281t_char > $o] :
( ! [A_2: produc662261637t_char,B_4: list_val,C_7: exp_list_char] : ( P_10 @ ( produc1299387215t_char @ A_2 @ ( produc1916172923t_char @ B_4 @ C_7 ) ) )
=> ( P_10 @ X_14 ) ) ).
thf(fact_37_prod__induct3,axiom,
! [X_14: produc630464863al_val,P_10: produc630464863al_val > $o] :
( ! [A_2: produc1645268488al_val,B_4: bop,C_7: product_prod_val_val] : ( P_10 @ ( produc1924279125al_val @ A_2 @ ( produc621191550al_val @ B_4 @ C_7 ) ) )
=> ( P_10 @ X_14 ) ) ).
thf(fact_38_prod__induct3,axiom,
! [X_14: produc800118557al_val,P_10: produc800118557al_val > $o] :
( ! [A_2: product_prod_val_val,B_4: val,C_7: val] : ( P_10 @ ( produc1244920211al_val @ A_2 @ ( product_Pair_val_val @ B_4 @ C_7 ) ) )
=> ( P_10 @ X_14 ) ) ).
thf(fact_39_prod__induct3,axiom,
! [X_14: produc1368416213on_val,P_10: produc1368416213on_val > $o] :
( ! [A_2: produc2088785539on_val,B_4: list_char,C_7: produc1278157519t_char > option_val] : ( P_10 @ ( produc1773146955on_val @ A_2 @ ( produc926070009on_val @ B_4 @ C_7 ) ) )
=> ( P_10 @ X_14 ) ) ).
thf(fact_40_prod__induct3,axiom,
! [X_14: produc1350825965t_char,P_10: produc1350825965t_char > $o] :
( ! [A_2: produc1278157519t_char,B_4: list_char,C_7: list_char] : ( P_10 @ ( produc2080520419t_char @ A_2 @ ( produc5062597t_char @ B_4 @ C_7 ) ) )
=> ( P_10 @ X_14 ) ) ).
thf(fact_41_prod__induct3,axiom,
! [X_14: produc1534059751t_char,P_10: produc1534059751t_char > $o] :
( ! [A_2: produc809539159t_char,B_4: list_list_char,C_7: exp_list_char] : ( P_10 @ ( produc1897818327t_char @ A_2 @ ( produc1147572817t_char @ B_4 @ C_7 ) ) )
=> ( P_10 @ X_14 ) ) ).
thf(fact_42_prod__cases3,axiom,
! [Y_6: produc469582463har_ty] :
~ ! [A_2: list_char,B_4: list_char,C_7: ty] :
( Y_6
!= ( produc1002914035har_ty @ A_2 @ ( produc251930284har_ty @ B_4 @ C_7 ) ) ) ).
thf(fact_43_prod__cases3,axiom,
! [Y_6: produc1746408499on_val] :
~ ! [A_2: produc1282892786on_val,B_4: exp_list_char,C_7: produc2090907612on_val] :
( Y_6
!= ( produc833389609on_val @ A_2 @ ( produc235638504on_val @ B_4 @ C_7 ) ) ) ).
thf(fact_44_prod__cases3,axiom,
! [Y_6: produc1282892786on_val] :
~ ! [A_2: exp_list_char,B_4: nat > option1728594148on_val,C_7: list_char > option_val] :
( Y_6
!= ( produc235638504on_val @ A_2 @ ( produc755559506on_val @ B_4 @ C_7 ) ) ) ).
thf(fact_45_prod__cases3,axiom,
! [Y_6: produc618524391on_val] :
~ ! [A_2: produc1180562163on_val,B_4: list_exp_list_char,C_7: produc2090907612on_val] :
( Y_6
!= ( produc747700183on_val @ A_2 @ ( produc1302104557on_val @ B_4 @ C_7 ) ) ) ).
thf(fact_46_prod__cases3,axiom,
! [Y_6: produc1180562163on_val] :
~ ! [A_2: list_exp_list_char,B_4: nat > option1728594148on_val,C_7: list_char > option_val] :
( Y_6
!= ( produc1302104557on_val @ A_2 @ ( produc755559506on_val @ B_4 @ C_7 ) ) ) ).
thf(fact_47_prod__cases3,axiom,
! [Y_6: produc1285161482t_char] :
~ ! [A_2: list_list_char,B_4: list_ty,C_7: produc662261637t_char] :
( Y_6
!= ( produc921874948t_char @ A_2 @ ( produc1909267824t_char @ B_4 @ C_7 ) ) ) ).
thf(fact_48_prod__cases3,axiom,
! [Y_6: produc220283002t_char] :
~ ! [A_2: list_ty,B_4: list_val,C_7: exp_list_char] :
( Y_6
!= ( produc1909267824t_char @ A_2 @ ( produc1916172923t_char @ B_4 @ C_7 ) ) ) ).
thf(fact_49_prod__cases3,axiom,
! [Y_6: produc1645268488al_val] :
~ ! [A_2: bop,B_4: val,C_7: val] :
( Y_6
!= ( produc621191550al_val @ A_2 @ ( product_Pair_val_val @ B_4 @ C_7 ) ) ) ).
thf(fact_50_prod__cases3,axiom,
! [Y_6: produc652964533on_val] :
~ ! [A_2: produc1746408499on_val,B_4: produc1282892786on_val,C_7: produc1282892786on_val] :
( Y_6
!= ( produc345758123on_val @ A_2 @ ( produc833389609on_val @ B_4 @ C_7 ) ) ) ).
thf(fact_51_prod__cases3,axiom,
! [Y_6: produc1581780743on_val] :
~ ! [A_2: produc2090907612on_val,B_4: nat > option1728594148on_val,C_7: list_char > option_val] :
( Y_6
!= ( produc259392253on_val @ A_2 @ ( produc755559506on_val @ B_4 @ C_7 ) ) ) ).
thf(fact_52_prod__cases3,axiom,
! [Y_6: produc1250491293on_val] :
~ ! [A_2: produc618524391on_val,B_4: produc1180562163on_val,C_7: produc1180562163on_val] :
( Y_6
!= ( produc1347028499on_val @ A_2 @ ( produc747700183on_val @ B_4 @ C_7 ) ) ) ).
thf(fact_53_prod__cases3,axiom,
! [Y_6: produc349695911t_char] :
~ ! [A_2: produc1285161482t_char,B_4: list_list_char,C_7: produc220283002t_char] :
( Y_6
!= ( produc24551831t_char @ A_2 @ ( produc921874948t_char @ B_4 @ C_7 ) ) ) ).
thf(fact_54_prod__cases3,axiom,
! [Y_6: produc1406897475t_char] :
~ ! [A_2: produc220283002t_char,B_4: list_ty,C_7: produc662261637t_char] :
( Y_6
!= ( produc57279289t_char @ A_2 @ ( produc1909267824t_char @ B_4 @ C_7 ) ) ) ).
thf(fact_55_prod__cases3,axiom,
! [Y_6: produc1826280281t_char] :
~ ! [A_2: produc662261637t_char,B_4: list_val,C_7: exp_list_char] :
( Y_6
!= ( produc1299387215t_char @ A_2 @ ( produc1916172923t_char @ B_4 @ C_7 ) ) ) ).
thf(fact_56_prod__cases3,axiom,
! [Y_6: produc630464863al_val] :
~ ! [A_2: produc1645268488al_val,B_4: bop,C_7: product_prod_val_val] :
( Y_6
!= ( produc1924279125al_val @ A_2 @ ( produc621191550al_val @ B_4 @ C_7 ) ) ) ).
thf(fact_57_prod__cases3,axiom,
! [Y_6: produc800118557al_val] :
~ ! [A_2: product_prod_val_val,B_4: val,C_7: val] :
( Y_6
!= ( produc1244920211al_val @ A_2 @ ( product_Pair_val_val @ B_4 @ C_7 ) ) ) ).
thf(fact_58_prod__cases3,axiom,
! [Y_6: produc1368416213on_val] :
~ ! [A_2: produc2088785539on_val,B_4: list_char,C_7: produc1278157519t_char > option_val] :
( Y_6
!= ( produc1773146955on_val @ A_2 @ ( produc926070009on_val @ B_4 @ C_7 ) ) ) ).
thf(fact_59_prod__cases3,axiom,
! [Y_6: produc1350825965t_char] :
~ ! [A_2: produc1278157519t_char,B_4: list_char,C_7: list_char] :
( Y_6
!= ( produc2080520419t_char @ A_2 @ ( produc5062597t_char @ B_4 @ C_7 ) ) ) ).
thf(fact_60_prod__cases3,axiom,
! [Y_6: produc1534059751t_char] :
~ ! [A_2: produc809539159t_char,B_4: list_list_char,C_7: exp_list_char] :
( Y_6
!= ( produc1897818327t_char @ A_2 @ ( produc1147572817t_char @ B_4 @ C_7 ) ) ) ).
thf(fact_61_split__paired__All,axiom,
! [P_9: produc469582463har_ty > $o] :
( ( !! @ produc469582463har_ty @ P_9 )
<=> ! [A_2: list_char,B_4: produc917948472har_ty] : ( P_9 @ ( produc1002914035har_ty @ A_2 @ B_4 ) ) ) ).
thf(fact_62_split__paired__All,axiom,
! [P_9: produc245756905har_ty > $o] :
( ( !! @ produc245756905har_ty @ P_9 )
<=> ! [A_2: produc1278157519t_char,B_4: ty] : ( P_9 @ ( produc1265154397har_ty @ A_2 @ B_4 ) ) ) ).
thf(fact_63_split__paired__All,axiom,
! [P_9: produc917948472har_ty > $o] :
( ( !! @ produc917948472har_ty @ P_9 )
<=> ! [A_2: list_char,B_4: ty] : ( P_9 @ ( produc251930284har_ty @ A_2 @ B_4 ) ) ) ).
thf(fact_64_split__paired__All,axiom,
! [P_9: produc1534059751t_char > $o] :
( ( !! @ produc1534059751t_char @ P_9 )
<=> ! [A_2: produc809539159t_char,B_4: produc809539159t_char] : ( P_9 @ ( produc1897818327t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_65_split__paired__All,axiom,
! [P_9: produc1350825965t_char > $o] :
( ( !! @ produc1350825965t_char @ P_9 )
<=> ! [A_2: produc1278157519t_char,B_4: produc1278157519t_char] : ( P_9 @ ( produc2080520419t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_66_split__paired__All,axiom,
! [P_9: produc1368416213on_val > $o] :
( ( !! @ produc1368416213on_val @ P_9 )
<=> ! [A_2: produc2088785539on_val,B_4: produc2088785539on_val] : ( P_9 @ ( produc1773146955on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_67_split__paired__All,axiom,
! [P_9: produc800118557al_val > $o] :
( ( !! @ produc800118557al_val @ P_9 )
<=> ! [A_2: product_prod_val_val,B_4: product_prod_val_val] : ( P_9 @ ( produc1244920211al_val @ A_2 @ B_4 ) ) ) ).
thf(fact_68_split__paired__All,axiom,
! [P_9: produc630464863al_val > $o] :
( ( !! @ produc630464863al_val @ P_9 )
<=> ! [A_2: produc1645268488al_val,B_4: produc1645268488al_val] : ( P_9 @ ( produc1924279125al_val @ A_2 @ B_4 ) ) ) ).
thf(fact_69_split__paired__All,axiom,
! [P_9: produc1826280281t_char > $o] :
( ( !! @ produc1826280281t_char @ P_9 )
<=> ! [A_2: produc662261637t_char,B_4: produc662261637t_char] : ( P_9 @ ( produc1299387215t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_70_split__paired__All,axiom,
! [P_9: produc1406897475t_char > $o] :
( ( !! @ produc1406897475t_char @ P_9 )
<=> ! [A_2: produc220283002t_char,B_4: produc220283002t_char] : ( P_9 @ ( produc57279289t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_71_split__paired__All,axiom,
! [P_9: produc349695911t_char > $o] :
( ( !! @ produc349695911t_char @ P_9 )
<=> ! [A_2: produc1285161482t_char,B_4: produc1285161482t_char] : ( P_9 @ ( produc24551831t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_72_split__paired__All,axiom,
! [P_9: produc1250491293on_val > $o] :
( ( !! @ produc1250491293on_val @ P_9 )
<=> ! [A_2: produc618524391on_val,B_4: produc618524391on_val] : ( P_9 @ ( produc1347028499on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_73_split__paired__All,axiom,
! [P_9: produc1581780743on_val > $o] :
( ( !! @ produc1581780743on_val @ P_9 )
<=> ! [A_2: produc2090907612on_val,B_4: produc2090907612on_val] : ( P_9 @ ( produc259392253on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_74_split__paired__All,axiom,
! [P_9: produc652964533on_val > $o] :
( ( !! @ produc652964533on_val @ P_9 )
<=> ! [A_2: produc1746408499on_val,B_4: produc1746408499on_val] : ( P_9 @ ( produc345758123on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_75_split__paired__All,axiom,
! [P_9: produc1746408499on_val > $o] :
( ( !! @ produc1746408499on_val @ P_9 )
<=> ! [A_2: produc1282892786on_val,B_4: produc1282892786on_val] : ( P_9 @ ( produc833389609on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_76_split__paired__All,axiom,
! [P_9: produc1282892786on_val > $o] :
( ( !! @ produc1282892786on_val @ P_9 )
<=> ! [A_2: exp_list_char,B_4: produc2090907612on_val] : ( P_9 @ ( produc235638504on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_77_split__paired__All,axiom,
! [P_9: produc2090907612on_val > $o] :
( ( !! @ produc2090907612on_val @ P_9 )
<=> ! [A_2: nat > option1728594148on_val,B_4: list_char > option_val] : ( P_9 @ ( produc755559506on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_78_split__paired__All,axiom,
! [P_9: produc618524391on_val > $o] :
( ( !! @ produc618524391on_val @ P_9 )
<=> ! [A_2: produc1180562163on_val,B_4: produc1180562163on_val] : ( P_9 @ ( produc747700183on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_79_split__paired__All,axiom,
! [P_9: produc1180562163on_val > $o] :
( ( !! @ produc1180562163on_val @ P_9 )
<=> ! [A_2: list_exp_list_char,B_4: produc2090907612on_val] : ( P_9 @ ( produc1302104557on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_80_split__paired__All,axiom,
! [P_9: produc1285161482t_char > $o] :
( ( !! @ produc1285161482t_char @ P_9 )
<=> ! [A_2: list_list_char,B_4: produc220283002t_char] : ( P_9 @ ( produc921874948t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_81_split__paired__All,axiom,
! [P_9: produc220283002t_char > $o] :
( ( !! @ produc220283002t_char @ P_9 )
<=> ! [A_2: list_ty,B_4: produc662261637t_char] : ( P_9 @ ( produc1909267824t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_82_split__paired__All,axiom,
! [P_9: produc662261637t_char > $o] :
( ( !! @ produc662261637t_char @ P_9 )
<=> ! [A_2: list_val,B_4: exp_list_char] : ( P_9 @ ( produc1916172923t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_83_split__paired__All,axiom,
! [P_9: produc1645268488al_val > $o] :
( ( !! @ produc1645268488al_val @ P_9 )
<=> ! [A_2: bop,B_4: product_prod_val_val] : ( P_9 @ ( produc621191550al_val @ A_2 @ B_4 ) ) ) ).
thf(fact_84_split__paired__All,axiom,
! [P_9: product_prod_val_val > $o] :
( ( !! @ product_prod_val_val @ P_9 )
<=> ! [A_2: val,B_4: val] : ( P_9 @ ( product_Pair_val_val @ A_2 @ B_4 ) ) ) ).
thf(fact_85_split__paired__All,axiom,
! [P_9: produc2088785539on_val > $o] :
( ( !! @ produc2088785539on_val @ P_9 )
<=> ! [A_2: list_char,B_4: produc1278157519t_char > option_val] : ( P_9 @ ( produc926070009on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_86_split__paired__All,axiom,
! [P_9: produc1278157519t_char > $o] :
( ( !! @ produc1278157519t_char @ P_9 )
<=> ! [A_2: list_char,B_4: list_char] : ( P_9 @ ( produc5062597t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_87_split__paired__All,axiom,
! [P_9: produc809539159t_char > $o] :
( ( !! @ produc809539159t_char @ P_9 )
<=> ! [A_2: list_list_char,B_4: exp_list_char] : ( P_9 @ ( produc1147572817t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_88_Pair__eq,axiom,
! [A_99: list_char,B_15: produc917948472har_ty,A_98: list_char,B_14: produc917948472har_ty] :
( ( ( produc1002914035har_ty @ A_99 @ B_15 )
= ( produc1002914035har_ty @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_89_Pair__eq,axiom,
! [A_99: produc1278157519t_char,B_15: ty,A_98: produc1278157519t_char,B_14: ty] :
( ( ( produc1265154397har_ty @ A_99 @ B_15 )
= ( produc1265154397har_ty @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_90_Pair__eq,axiom,
! [A_99: list_char,B_15: ty,A_98: list_char,B_14: ty] :
( ( ( produc251930284har_ty @ A_99 @ B_15 )
= ( produc251930284har_ty @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_91_Pair__eq,axiom,
! [A_99: produc809539159t_char,B_15: produc809539159t_char,A_98: produc809539159t_char,B_14: produc809539159t_char] :
( ( ( produc1897818327t_char @ A_99 @ B_15 )
= ( produc1897818327t_char @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_92_Pair__eq,axiom,
! [A_99: produc1278157519t_char,B_15: produc1278157519t_char,A_98: produc1278157519t_char,B_14: produc1278157519t_char] :
( ( ( produc2080520419t_char @ A_99 @ B_15 )
= ( produc2080520419t_char @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_93_Pair__eq,axiom,
! [A_99: produc2088785539on_val,B_15: produc2088785539on_val,A_98: produc2088785539on_val,B_14: produc2088785539on_val] :
( ( ( produc1773146955on_val @ A_99 @ B_15 )
= ( produc1773146955on_val @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_94_Pair__eq,axiom,
! [A_99: product_prod_val_val,B_15: product_prod_val_val,A_98: product_prod_val_val,B_14: product_prod_val_val] :
( ( ( produc1244920211al_val @ A_99 @ B_15 )
= ( produc1244920211al_val @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_95_Pair__eq,axiom,
! [A_99: produc1645268488al_val,B_15: produc1645268488al_val,A_98: produc1645268488al_val,B_14: produc1645268488al_val] :
( ( ( produc1924279125al_val @ A_99 @ B_15 )
= ( produc1924279125al_val @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_96_Pair__eq,axiom,
! [A_99: produc662261637t_char,B_15: produc662261637t_char,A_98: produc662261637t_char,B_14: produc662261637t_char] :
( ( ( produc1299387215t_char @ A_99 @ B_15 )
= ( produc1299387215t_char @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_97_Pair__eq,axiom,
! [A_99: produc220283002t_char,B_15: produc220283002t_char,A_98: produc220283002t_char,B_14: produc220283002t_char] :
( ( ( produc57279289t_char @ A_99 @ B_15 )
= ( produc57279289t_char @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_98_Pair__eq,axiom,
! [A_99: produc1285161482t_char,B_15: produc1285161482t_char,A_98: produc1285161482t_char,B_14: produc1285161482t_char] :
( ( ( produc24551831t_char @ A_99 @ B_15 )
= ( produc24551831t_char @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_99_Pair__eq,axiom,
! [A_99: produc618524391on_val,B_15: produc618524391on_val,A_98: produc618524391on_val,B_14: produc618524391on_val] :
( ( ( produc1347028499on_val @ A_99 @ B_15 )
= ( produc1347028499on_val @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_100_Pair__eq,axiom,
! [A_99: produc2090907612on_val,B_15: produc2090907612on_val,A_98: produc2090907612on_val,B_14: produc2090907612on_val] :
( ( ( produc259392253on_val @ A_99 @ B_15 )
= ( produc259392253on_val @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_101_Pair__eq,axiom,
! [A_99: produc1746408499on_val,B_15: produc1746408499on_val,A_98: produc1746408499on_val,B_14: produc1746408499on_val] :
( ( ( produc345758123on_val @ A_99 @ B_15 )
= ( produc345758123on_val @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_102_Pair__eq,axiom,
! [A_99: produc1282892786on_val,B_15: produc1282892786on_val,A_98: produc1282892786on_val,B_14: produc1282892786on_val] :
( ( ( produc833389609on_val @ A_99 @ B_15 )
= ( produc833389609on_val @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_103_Pair__eq,axiom,
! [A_99: exp_list_char,B_15: produc2090907612on_val,A_98: exp_list_char,B_14: produc2090907612on_val] :
( ( ( produc235638504on_val @ A_99 @ B_15 )
= ( produc235638504on_val @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_104_Pair__eq,axiom,
! [A_99: nat > option1728594148on_val,B_15: list_char > option_val,A_98: nat > option1728594148on_val,B_14: list_char > option_val] :
( ( ( produc755559506on_val @ A_99 @ B_15 )
= ( produc755559506on_val @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_105_Pair__eq,axiom,
! [A_99: produc1180562163on_val,B_15: produc1180562163on_val,A_98: produc1180562163on_val,B_14: produc1180562163on_val] :
( ( ( produc747700183on_val @ A_99 @ B_15 )
= ( produc747700183on_val @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_106_Pair__eq,axiom,
! [A_99: list_exp_list_char,B_15: produc2090907612on_val,A_98: list_exp_list_char,B_14: produc2090907612on_val] :
( ( ( produc1302104557on_val @ A_99 @ B_15 )
= ( produc1302104557on_val @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_107_Pair__eq,axiom,
! [A_99: list_list_char,B_15: produc220283002t_char,A_98: list_list_char,B_14: produc220283002t_char] :
( ( ( produc921874948t_char @ A_99 @ B_15 )
= ( produc921874948t_char @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_108_Pair__eq,axiom,
! [A_99: list_ty,B_15: produc662261637t_char,A_98: list_ty,B_14: produc662261637t_char] :
( ( ( produc1909267824t_char @ A_99 @ B_15 )
= ( produc1909267824t_char @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_109_Pair__eq,axiom,
! [A_99: list_val,B_15: exp_list_char,A_98: list_val,B_14: exp_list_char] :
( ( ( produc1916172923t_char @ A_99 @ B_15 )
= ( produc1916172923t_char @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_110_Pair__eq,axiom,
! [A_99: bop,B_15: product_prod_val_val,A_98: bop,B_14: product_prod_val_val] :
( ( ( produc621191550al_val @ A_99 @ B_15 )
= ( produc621191550al_val @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_111_Pair__eq,axiom,
! [A_99: val,B_15: val,A_98: val,B_14: val] :
( ( ( product_Pair_val_val @ A_99 @ B_15 )
= ( product_Pair_val_val @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_112_Pair__eq,axiom,
! [A_99: list_char,B_15: produc1278157519t_char > option_val,A_98: list_char,B_14: produc1278157519t_char > option_val] :
( ( ( produc926070009on_val @ A_99 @ B_15 )
= ( produc926070009on_val @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_113_Pair__eq,axiom,
! [A_99: list_char,B_15: list_char,A_98: list_char,B_14: list_char] :
( ( ( produc5062597t_char @ A_99 @ B_15 )
= ( produc5062597t_char @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_114_Pair__eq,axiom,
! [A_99: list_list_char,B_15: exp_list_char,A_98: list_list_char,B_14: exp_list_char] :
( ( ( produc1147572817t_char @ A_99 @ B_15 )
= ( produc1147572817t_char @ A_98 @ B_14 ) )
<=> ( ( A_99 = A_98 )
& ( B_15 = B_14 ) ) ) ).
thf(fact_115_Pair__inject,axiom,
! [A_97: list_char,B_13: produc917948472har_ty,A_96: list_char,B_12: produc917948472har_ty] :
( ( ( produc1002914035har_ty @ A_97 @ B_13 )
= ( produc1002914035har_ty @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_116_Pair__inject,axiom,
! [A_97: produc1278157519t_char,B_13: ty,A_96: produc1278157519t_char,B_12: ty] :
( ( ( produc1265154397har_ty @ A_97 @ B_13 )
= ( produc1265154397har_ty @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_117_Pair__inject,axiom,
! [A_97: list_char,B_13: ty,A_96: list_char,B_12: ty] :
( ( ( produc251930284har_ty @ A_97 @ B_13 )
= ( produc251930284har_ty @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_118_Pair__inject,axiom,
! [A_97: produc809539159t_char,B_13: produc809539159t_char,A_96: produc809539159t_char,B_12: produc809539159t_char] :
( ( ( produc1897818327t_char @ A_97 @ B_13 )
= ( produc1897818327t_char @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_119_Pair__inject,axiom,
! [A_97: produc1278157519t_char,B_13: produc1278157519t_char,A_96: produc1278157519t_char,B_12: produc1278157519t_char] :
( ( ( produc2080520419t_char @ A_97 @ B_13 )
= ( produc2080520419t_char @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_120_Pair__inject,axiom,
! [A_97: produc2088785539on_val,B_13: produc2088785539on_val,A_96: produc2088785539on_val,B_12: produc2088785539on_val] :
( ( ( produc1773146955on_val @ A_97 @ B_13 )
= ( produc1773146955on_val @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_121_Pair__inject,axiom,
! [A_97: product_prod_val_val,B_13: product_prod_val_val,A_96: product_prod_val_val,B_12: product_prod_val_val] :
( ( ( produc1244920211al_val @ A_97 @ B_13 )
= ( produc1244920211al_val @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_122_Pair__inject,axiom,
! [A_97: produc1645268488al_val,B_13: produc1645268488al_val,A_96: produc1645268488al_val,B_12: produc1645268488al_val] :
( ( ( produc1924279125al_val @ A_97 @ B_13 )
= ( produc1924279125al_val @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_123_Pair__inject,axiom,
! [A_97: produc662261637t_char,B_13: produc662261637t_char,A_96: produc662261637t_char,B_12: produc662261637t_char] :
( ( ( produc1299387215t_char @ A_97 @ B_13 )
= ( produc1299387215t_char @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_124_Pair__inject,axiom,
! [A_97: produc220283002t_char,B_13: produc220283002t_char,A_96: produc220283002t_char,B_12: produc220283002t_char] :
( ( ( produc57279289t_char @ A_97 @ B_13 )
= ( produc57279289t_char @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_125_Pair__inject,axiom,
! [A_97: produc1285161482t_char,B_13: produc1285161482t_char,A_96: produc1285161482t_char,B_12: produc1285161482t_char] :
( ( ( produc24551831t_char @ A_97 @ B_13 )
= ( produc24551831t_char @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_126_Pair__inject,axiom,
! [A_97: produc618524391on_val,B_13: produc618524391on_val,A_96: produc618524391on_val,B_12: produc618524391on_val] :
( ( ( produc1347028499on_val @ A_97 @ B_13 )
= ( produc1347028499on_val @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_127_Pair__inject,axiom,
! [A_97: produc2090907612on_val,B_13: produc2090907612on_val,A_96: produc2090907612on_val,B_12: produc2090907612on_val] :
( ( ( produc259392253on_val @ A_97 @ B_13 )
= ( produc259392253on_val @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_128_Pair__inject,axiom,
! [A_97: produc1746408499on_val,B_13: produc1746408499on_val,A_96: produc1746408499on_val,B_12: produc1746408499on_val] :
( ( ( produc345758123on_val @ A_97 @ B_13 )
= ( produc345758123on_val @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_129_Pair__inject,axiom,
! [A_97: produc1282892786on_val,B_13: produc1282892786on_val,A_96: produc1282892786on_val,B_12: produc1282892786on_val] :
( ( ( produc833389609on_val @ A_97 @ B_13 )
= ( produc833389609on_val @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_130_Pair__inject,axiom,
! [A_97: exp_list_char,B_13: produc2090907612on_val,A_96: exp_list_char,B_12: produc2090907612on_val] :
( ( ( produc235638504on_val @ A_97 @ B_13 )
= ( produc235638504on_val @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_131_Pair__inject,axiom,
! [A_97: nat > option1728594148on_val,B_13: list_char > option_val,A_96: nat > option1728594148on_val,B_12: list_char > option_val] :
( ( ( produc755559506on_val @ A_97 @ B_13 )
= ( produc755559506on_val @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_132_Pair__inject,axiom,
! [A_97: produc1180562163on_val,B_13: produc1180562163on_val,A_96: produc1180562163on_val,B_12: produc1180562163on_val] :
( ( ( produc747700183on_val @ A_97 @ B_13 )
= ( produc747700183on_val @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_133_Pair__inject,axiom,
! [A_97: list_exp_list_char,B_13: produc2090907612on_val,A_96: list_exp_list_char,B_12: produc2090907612on_val] :
( ( ( produc1302104557on_val @ A_97 @ B_13 )
= ( produc1302104557on_val @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_134_Pair__inject,axiom,
! [A_97: list_list_char,B_13: produc220283002t_char,A_96: list_list_char,B_12: produc220283002t_char] :
( ( ( produc921874948t_char @ A_97 @ B_13 )
= ( produc921874948t_char @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_135_Pair__inject,axiom,
! [A_97: list_ty,B_13: produc662261637t_char,A_96: list_ty,B_12: produc662261637t_char] :
( ( ( produc1909267824t_char @ A_97 @ B_13 )
= ( produc1909267824t_char @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_136_Pair__inject,axiom,
! [A_97: list_val,B_13: exp_list_char,A_96: list_val,B_12: exp_list_char] :
( ( ( produc1916172923t_char @ A_97 @ B_13 )
= ( produc1916172923t_char @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_137_Pair__inject,axiom,
! [A_97: bop,B_13: product_prod_val_val,A_96: bop,B_12: product_prod_val_val] :
( ( ( produc621191550al_val @ A_97 @ B_13 )
= ( produc621191550al_val @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_138_Pair__inject,axiom,
! [A_97: val,B_13: val,A_96: val,B_12: val] :
( ( ( product_Pair_val_val @ A_97 @ B_13 )
= ( product_Pair_val_val @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_139_Pair__inject,axiom,
! [A_97: list_char,B_13: produc1278157519t_char > option_val,A_96: list_char,B_12: produc1278157519t_char > option_val] :
( ( ( produc926070009on_val @ A_97 @ B_13 )
= ( produc926070009on_val @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_140_Pair__inject,axiom,
! [A_97: list_char,B_13: list_char,A_96: list_char,B_12: list_char] :
( ( ( produc5062597t_char @ A_97 @ B_13 )
= ( produc5062597t_char @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_141_Pair__inject,axiom,
! [A_97: list_list_char,B_13: exp_list_char,A_96: list_list_char,B_12: exp_list_char] :
( ( ( produc1147572817t_char @ A_97 @ B_13 )
= ( produc1147572817t_char @ A_96 @ B_12 ) )
=> ~ ( ( A_97 = A_96 )
=> ( B_13 != B_12 ) ) ) ).
thf(fact_142_hext__refl,axiom,
! [H_1: nat > option1728594148on_val] : ( hext @ H_1 @ H_1 ) ).
thf(fact_143_WTrt__hext__mono,axiom,
! [H: nat > option1728594148on_val,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,T_3: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ T_3 )
=> ( ( hext @ H_1 @ H )
=> ( wTrt @ P @ H @ E_3 @ E_1 @ T_3 ) ) ) ).
thf(fact_144_red__lcl__add,axiom,
! [L_0: list_char > option_val,E_1: exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,E: exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ ( produc755559506on_val @ H_1 @ L_1 ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ H @ L ) ) ) @ ( red @ P ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ ( produc755559506on_val @ H_1 @ ( map_ad325961431ar_val @ L_0 @ L_1 ) ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ H @ ( map_ad325961431ar_val @ L_0 @ L ) ) ) ) @ ( red @ P ) ) ) ).
thf(fact_145_prod_Oexhaust,axiom,
! [Y_5: produc469582463har_ty] :
~ ! [A_2: list_char,B_4: produc917948472har_ty] :
( Y_5
!= ( produc1002914035har_ty @ A_2 @ B_4 ) ) ).
thf(fact_146_prod_Oexhaust,axiom,
! [Y_5: produc245756905har_ty] :
~ ! [A_2: produc1278157519t_char,B_4: ty] :
( Y_5
!= ( produc1265154397har_ty @ A_2 @ B_4 ) ) ).
thf(fact_147_prod_Oexhaust,axiom,
! [Y_5: produc917948472har_ty] :
~ ! [A_2: list_char,B_4: ty] :
( Y_5
!= ( produc251930284har_ty @ A_2 @ B_4 ) ) ).
thf(fact_148_prod_Oexhaust,axiom,
! [Y_5: produc1534059751t_char] :
~ ! [A_2: produc809539159t_char,B_4: produc809539159t_char] :
( Y_5
!= ( produc1897818327t_char @ A_2 @ B_4 ) ) ).
thf(fact_149_prod_Oexhaust,axiom,
! [Y_5: produc1350825965t_char] :
~ ! [A_2: produc1278157519t_char,B_4: produc1278157519t_char] :
( Y_5
!= ( produc2080520419t_char @ A_2 @ B_4 ) ) ).
thf(fact_150_prod_Oexhaust,axiom,
! [Y_5: produc1368416213on_val] :
~ ! [A_2: produc2088785539on_val,B_4: produc2088785539on_val] :
( Y_5
!= ( produc1773146955on_val @ A_2 @ B_4 ) ) ).
thf(fact_151_prod_Oexhaust,axiom,
! [Y_5: produc800118557al_val] :
~ ! [A_2: product_prod_val_val,B_4: product_prod_val_val] :
( Y_5
!= ( produc1244920211al_val @ A_2 @ B_4 ) ) ).
thf(fact_152_prod_Oexhaust,axiom,
! [Y_5: produc630464863al_val] :
~ ! [A_2: produc1645268488al_val,B_4: produc1645268488al_val] :
( Y_5
!= ( produc1924279125al_val @ A_2 @ B_4 ) ) ).
thf(fact_153_prod_Oexhaust,axiom,
! [Y_5: produc1826280281t_char] :
~ ! [A_2: produc662261637t_char,B_4: produc662261637t_char] :
( Y_5
!= ( produc1299387215t_char @ A_2 @ B_4 ) ) ).
thf(fact_154_prod_Oexhaust,axiom,
! [Y_5: produc1406897475t_char] :
~ ! [A_2: produc220283002t_char,B_4: produc220283002t_char] :
( Y_5
!= ( produc57279289t_char @ A_2 @ B_4 ) ) ).
thf(fact_155_prod_Oexhaust,axiom,
! [Y_5: produc349695911t_char] :
~ ! [A_2: produc1285161482t_char,B_4: produc1285161482t_char] :
( Y_5
!= ( produc24551831t_char @ A_2 @ B_4 ) ) ).
thf(fact_156_prod_Oexhaust,axiom,
! [Y_5: produc1250491293on_val] :
~ ! [A_2: produc618524391on_val,B_4: produc618524391on_val] :
( Y_5
!= ( produc1347028499on_val @ A_2 @ B_4 ) ) ).
thf(fact_157_prod_Oexhaust,axiom,
! [Y_5: produc1581780743on_val] :
~ ! [A_2: produc2090907612on_val,B_4: produc2090907612on_val] :
( Y_5
!= ( produc259392253on_val @ A_2 @ B_4 ) ) ).
thf(fact_158_prod_Oexhaust,axiom,
! [Y_5: produc652964533on_val] :
~ ! [A_2: produc1746408499on_val,B_4: produc1746408499on_val] :
( Y_5
!= ( produc345758123on_val @ A_2 @ B_4 ) ) ).
thf(fact_159_prod_Oexhaust,axiom,
! [Y_5: produc1746408499on_val] :
~ ! [A_2: produc1282892786on_val,B_4: produc1282892786on_val] :
( Y_5
!= ( produc833389609on_val @ A_2 @ B_4 ) ) ).
thf(fact_160_prod_Oexhaust,axiom,
! [Y_5: produc1282892786on_val] :
~ ! [A_2: exp_list_char,B_4: produc2090907612on_val] :
( Y_5
!= ( produc235638504on_val @ A_2 @ B_4 ) ) ).
thf(fact_161_prod_Oexhaust,axiom,
! [Y_5: produc2090907612on_val] :
~ ! [A_2: nat > option1728594148on_val,B_4: list_char > option_val] :
( Y_5
!= ( produc755559506on_val @ A_2 @ B_4 ) ) ).
thf(fact_162_prod_Oexhaust,axiom,
! [Y_5: produc618524391on_val] :
~ ! [A_2: produc1180562163on_val,B_4: produc1180562163on_val] :
( Y_5
!= ( produc747700183on_val @ A_2 @ B_4 ) ) ).
thf(fact_163_prod_Oexhaust,axiom,
! [Y_5: produc1180562163on_val] :
~ ! [A_2: list_exp_list_char,B_4: produc2090907612on_val] :
( Y_5
!= ( produc1302104557on_val @ A_2 @ B_4 ) ) ).
thf(fact_164_prod_Oexhaust,axiom,
! [Y_5: produc1285161482t_char] :
~ ! [A_2: list_list_char,B_4: produc220283002t_char] :
( Y_5
!= ( produc921874948t_char @ A_2 @ B_4 ) ) ).
thf(fact_165_prod_Oexhaust,axiom,
! [Y_5: produc220283002t_char] :
~ ! [A_2: list_ty,B_4: produc662261637t_char] :
( Y_5
!= ( produc1909267824t_char @ A_2 @ B_4 ) ) ).
thf(fact_166_prod_Oexhaust,axiom,
! [Y_5: produc662261637t_char] :
~ ! [A_2: list_val,B_4: exp_list_char] :
( Y_5
!= ( produc1916172923t_char @ A_2 @ B_4 ) ) ).
thf(fact_167_prod_Oexhaust,axiom,
! [Y_5: produc1645268488al_val] :
~ ! [A_2: bop,B_4: product_prod_val_val] :
( Y_5
!= ( produc621191550al_val @ A_2 @ B_4 ) ) ).
thf(fact_168_prod_Oexhaust,axiom,
! [Y_5: product_prod_val_val] :
~ ! [A_2: val,B_4: val] :
( Y_5
!= ( product_Pair_val_val @ A_2 @ B_4 ) ) ).
thf(fact_169_prod_Oexhaust,axiom,
! [Y_5: produc2088785539on_val] :
~ ! [A_2: list_char,B_4: produc1278157519t_char > option_val] :
( Y_5
!= ( produc926070009on_val @ A_2 @ B_4 ) ) ).
thf(fact_170_prod_Oexhaust,axiom,
! [Y_5: produc1278157519t_char] :
~ ! [A_2: list_char,B_4: list_char] :
( Y_5
!= ( produc5062597t_char @ A_2 @ B_4 ) ) ).
thf(fact_171_prod_Oexhaust,axiom,
! [Y_5: produc809539159t_char] :
~ ! [A_2: list_list_char,B_4: exp_list_char] :
( Y_5
!= ( produc1147572817t_char @ A_2 @ B_4 ) ) ).
thf(fact_172_PairE,axiom,
! [P_8: produc469582463har_ty] :
~ ! [X: list_char,Y_4: produc917948472har_ty] :
( P_8
!= ( produc1002914035har_ty @ X @ Y_4 ) ) ).
thf(fact_173_PairE,axiom,
! [P_8: produc245756905har_ty] :
~ ! [X: produc1278157519t_char,Y_4: ty] :
( P_8
!= ( produc1265154397har_ty @ X @ Y_4 ) ) ).
thf(fact_174_PairE,axiom,
! [P_8: produc917948472har_ty] :
~ ! [X: list_char,Y_4: ty] :
( P_8
!= ( produc251930284har_ty @ X @ Y_4 ) ) ).
thf(fact_175_PairE,axiom,
! [P_8: produc1534059751t_char] :
~ ! [X: produc809539159t_char,Y_4: produc809539159t_char] :
( P_8
!= ( produc1897818327t_char @ X @ Y_4 ) ) ).
thf(fact_176_PairE,axiom,
! [P_8: produc1350825965t_char] :
~ ! [X: produc1278157519t_char,Y_4: produc1278157519t_char] :
( P_8
!= ( produc2080520419t_char @ X @ Y_4 ) ) ).
thf(fact_177_PairE,axiom,
! [P_8: produc1368416213on_val] :
~ ! [X: produc2088785539on_val,Y_4: produc2088785539on_val] :
( P_8
!= ( produc1773146955on_val @ X @ Y_4 ) ) ).
thf(fact_178_PairE,axiom,
! [P_8: produc800118557al_val] :
~ ! [X: product_prod_val_val,Y_4: product_prod_val_val] :
( P_8
!= ( produc1244920211al_val @ X @ Y_4 ) ) ).
thf(fact_179_PairE,axiom,
! [P_8: produc630464863al_val] :
~ ! [X: produc1645268488al_val,Y_4: produc1645268488al_val] :
( P_8
!= ( produc1924279125al_val @ X @ Y_4 ) ) ).
thf(fact_180_PairE,axiom,
! [P_8: produc1826280281t_char] :
~ ! [X: produc662261637t_char,Y_4: produc662261637t_char] :
( P_8
!= ( produc1299387215t_char @ X @ Y_4 ) ) ).
thf(fact_181_PairE,axiom,
! [P_8: produc1406897475t_char] :
~ ! [X: produc220283002t_char,Y_4: produc220283002t_char] :
( P_8
!= ( produc57279289t_char @ X @ Y_4 ) ) ).
thf(fact_182_PairE,axiom,
! [P_8: produc349695911t_char] :
~ ! [X: produc1285161482t_char,Y_4: produc1285161482t_char] :
( P_8
!= ( produc24551831t_char @ X @ Y_4 ) ) ).
thf(fact_183_PairE,axiom,
! [P_8: produc1250491293on_val] :
~ ! [X: produc618524391on_val,Y_4: produc618524391on_val] :
( P_8
!= ( produc1347028499on_val @ X @ Y_4 ) ) ).
thf(fact_184_PairE,axiom,
! [P_8: produc1581780743on_val] :
~ ! [X: produc2090907612on_val,Y_4: produc2090907612on_val] :
( P_8
!= ( produc259392253on_val @ X @ Y_4 ) ) ).
thf(fact_185_PairE,axiom,
! [P_8: produc652964533on_val] :
~ ! [X: produc1746408499on_val,Y_4: produc1746408499on_val] :
( P_8
!= ( produc345758123on_val @ X @ Y_4 ) ) ).
thf(fact_186_PairE,axiom,
! [P_8: produc1746408499on_val] :
~ ! [X: produc1282892786on_val,Y_4: produc1282892786on_val] :
( P_8
!= ( produc833389609on_val @ X @ Y_4 ) ) ).
thf(fact_187_PairE,axiom,
! [P_8: produc1282892786on_val] :
~ ! [X: exp_list_char,Y_4: produc2090907612on_val] :
( P_8
!= ( produc235638504on_val @ X @ Y_4 ) ) ).
thf(fact_188_PairE,axiom,
! [P_8: produc2090907612on_val] :
~ ! [X: nat > option1728594148on_val,Y_4: list_char > option_val] :
( P_8
!= ( produc755559506on_val @ X @ Y_4 ) ) ).
thf(fact_189_PairE,axiom,
! [P_8: produc618524391on_val] :
~ ! [X: produc1180562163on_val,Y_4: produc1180562163on_val] :
( P_8
!= ( produc747700183on_val @ X @ Y_4 ) ) ).
thf(fact_190_PairE,axiom,
! [P_8: produc1180562163on_val] :
~ ! [X: list_exp_list_char,Y_4: produc2090907612on_val] :
( P_8
!= ( produc1302104557on_val @ X @ Y_4 ) ) ).
thf(fact_191_PairE,axiom,
! [P_8: produc1285161482t_char] :
~ ! [X: list_list_char,Y_4: produc220283002t_char] :
( P_8
!= ( produc921874948t_char @ X @ Y_4 ) ) ).
thf(fact_192_PairE,axiom,
! [P_8: produc220283002t_char] :
~ ! [X: list_ty,Y_4: produc662261637t_char] :
( P_8
!= ( produc1909267824t_char @ X @ Y_4 ) ) ).
thf(fact_193_PairE,axiom,
! [P_8: produc662261637t_char] :
~ ! [X: list_val,Y_4: exp_list_char] :
( P_8
!= ( produc1916172923t_char @ X @ Y_4 ) ) ).
thf(fact_194_PairE,axiom,
! [P_8: produc1645268488al_val] :
~ ! [X: bop,Y_4: product_prod_val_val] :
( P_8
!= ( produc621191550al_val @ X @ Y_4 ) ) ).
thf(fact_195_PairE,axiom,
! [P_8: product_prod_val_val] :
~ ! [X: val,Y_4: val] :
( P_8
!= ( product_Pair_val_val @ X @ Y_4 ) ) ).
thf(fact_196_PairE,axiom,
! [P_8: produc2088785539on_val] :
~ ! [X: list_char,Y_4: produc1278157519t_char > option_val] :
( P_8
!= ( produc926070009on_val @ X @ Y_4 ) ) ).
thf(fact_197_PairE,axiom,
! [P_8: produc1278157519t_char] :
~ ! [X: list_char,Y_4: list_char] :
( P_8
!= ( produc5062597t_char @ X @ Y_4 ) ) ).
thf(fact_198_PairE,axiom,
! [P_8: produc809539159t_char] :
~ ! [X: list_list_char,Y_4: exp_list_char] :
( P_8
!= ( produc1147572817t_char @ X @ Y_4 ) ) ).
thf(fact_199_split__paired__Ex,axiom,
! [P_7: produc469582463har_ty > $o] :
( ( ?? @ produc469582463har_ty @ P_7 )
<=> ? [A_2: list_char,B_4: produc917948472har_ty] : ( P_7 @ ( produc1002914035har_ty @ A_2 @ B_4 ) ) ) ).
thf(fact_200_split__paired__Ex,axiom,
! [P_7: produc245756905har_ty > $o] :
( ( ?? @ produc245756905har_ty @ P_7 )
<=> ? [A_2: produc1278157519t_char,B_4: ty] : ( P_7 @ ( produc1265154397har_ty @ A_2 @ B_4 ) ) ) ).
thf(fact_201_split__paired__Ex,axiom,
! [P_7: produc917948472har_ty > $o] :
( ( ?? @ produc917948472har_ty @ P_7 )
<=> ? [A_2: list_char,B_4: ty] : ( P_7 @ ( produc251930284har_ty @ A_2 @ B_4 ) ) ) ).
thf(fact_202_split__paired__Ex,axiom,
! [P_7: produc1534059751t_char > $o] :
( ( ?? @ produc1534059751t_char @ P_7 )
<=> ? [A_2: produc809539159t_char,B_4: produc809539159t_char] : ( P_7 @ ( produc1897818327t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_203_split__paired__Ex,axiom,
! [P_7: produc1350825965t_char > $o] :
( ( ?? @ produc1350825965t_char @ P_7 )
<=> ? [A_2: produc1278157519t_char,B_4: produc1278157519t_char] : ( P_7 @ ( produc2080520419t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_204_split__paired__Ex,axiom,
! [P_7: produc1368416213on_val > $o] :
( ( ?? @ produc1368416213on_val @ P_7 )
<=> ? [A_2: produc2088785539on_val,B_4: produc2088785539on_val] : ( P_7 @ ( produc1773146955on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_205_split__paired__Ex,axiom,
! [P_7: produc800118557al_val > $o] :
( ( ?? @ produc800118557al_val @ P_7 )
<=> ? [A_2: product_prod_val_val,B_4: product_prod_val_val] : ( P_7 @ ( produc1244920211al_val @ A_2 @ B_4 ) ) ) ).
thf(fact_206_split__paired__Ex,axiom,
! [P_7: produc630464863al_val > $o] :
( ( ?? @ produc630464863al_val @ P_7 )
<=> ? [A_2: produc1645268488al_val,B_4: produc1645268488al_val] : ( P_7 @ ( produc1924279125al_val @ A_2 @ B_4 ) ) ) ).
thf(fact_207_split__paired__Ex,axiom,
! [P_7: produc1826280281t_char > $o] :
( ( ?? @ produc1826280281t_char @ P_7 )
<=> ? [A_2: produc662261637t_char,B_4: produc662261637t_char] : ( P_7 @ ( produc1299387215t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_208_split__paired__Ex,axiom,
! [P_7: produc1406897475t_char > $o] :
( ( ?? @ produc1406897475t_char @ P_7 )
<=> ? [A_2: produc220283002t_char,B_4: produc220283002t_char] : ( P_7 @ ( produc57279289t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_209_split__paired__Ex,axiom,
! [P_7: produc349695911t_char > $o] :
( ( ?? @ produc349695911t_char @ P_7 )
<=> ? [A_2: produc1285161482t_char,B_4: produc1285161482t_char] : ( P_7 @ ( produc24551831t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_210_split__paired__Ex,axiom,
! [P_7: produc1250491293on_val > $o] :
( ( ?? @ produc1250491293on_val @ P_7 )
<=> ? [A_2: produc618524391on_val,B_4: produc618524391on_val] : ( P_7 @ ( produc1347028499on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_211_split__paired__Ex,axiom,
! [P_7: produc1581780743on_val > $o] :
( ( ?? @ produc1581780743on_val @ P_7 )
<=> ? [A_2: produc2090907612on_val,B_4: produc2090907612on_val] : ( P_7 @ ( produc259392253on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_212_split__paired__Ex,axiom,
! [P_7: produc652964533on_val > $o] :
( ( ?? @ produc652964533on_val @ P_7 )
<=> ? [A_2: produc1746408499on_val,B_4: produc1746408499on_val] : ( P_7 @ ( produc345758123on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_213_split__paired__Ex,axiom,
! [P_7: produc1746408499on_val > $o] :
( ( ?? @ produc1746408499on_val @ P_7 )
<=> ? [A_2: produc1282892786on_val,B_4: produc1282892786on_val] : ( P_7 @ ( produc833389609on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_214_split__paired__Ex,axiom,
! [P_7: produc1282892786on_val > $o] :
( ( ?? @ produc1282892786on_val @ P_7 )
<=> ? [A_2: exp_list_char,B_4: produc2090907612on_val] : ( P_7 @ ( produc235638504on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_215_split__paired__Ex,axiom,
! [P_7: produc2090907612on_val > $o] :
( ( ?? @ produc2090907612on_val @ P_7 )
<=> ? [A_2: nat > option1728594148on_val,B_4: list_char > option_val] : ( P_7 @ ( produc755559506on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_216_split__paired__Ex,axiom,
! [P_7: produc618524391on_val > $o] :
( ( ?? @ produc618524391on_val @ P_7 )
<=> ? [A_2: produc1180562163on_val,B_4: produc1180562163on_val] : ( P_7 @ ( produc747700183on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_217_split__paired__Ex,axiom,
! [P_7: produc1180562163on_val > $o] :
( ( ?? @ produc1180562163on_val @ P_7 )
<=> ? [A_2: list_exp_list_char,B_4: produc2090907612on_val] : ( P_7 @ ( produc1302104557on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_218_split__paired__Ex,axiom,
! [P_7: produc1285161482t_char > $o] :
( ( ?? @ produc1285161482t_char @ P_7 )
<=> ? [A_2: list_list_char,B_4: produc220283002t_char] : ( P_7 @ ( produc921874948t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_219_split__paired__Ex,axiom,
! [P_7: produc220283002t_char > $o] :
( ( ?? @ produc220283002t_char @ P_7 )
<=> ? [A_2: list_ty,B_4: produc662261637t_char] : ( P_7 @ ( produc1909267824t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_220_split__paired__Ex,axiom,
! [P_7: produc662261637t_char > $o] :
( ( ?? @ produc662261637t_char @ P_7 )
<=> ? [A_2: list_val,B_4: exp_list_char] : ( P_7 @ ( produc1916172923t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_221_split__paired__Ex,axiom,
! [P_7: produc1645268488al_val > $o] :
( ( ?? @ produc1645268488al_val @ P_7 )
<=> ? [A_2: bop,B_4: product_prod_val_val] : ( P_7 @ ( produc621191550al_val @ A_2 @ B_4 ) ) ) ).
thf(fact_222_split__paired__Ex,axiom,
! [P_7: product_prod_val_val > $o] :
( ( ?? @ product_prod_val_val @ P_7 )
<=> ? [A_2: val,B_4: val] : ( P_7 @ ( product_Pair_val_val @ A_2 @ B_4 ) ) ) ).
thf(fact_223_split__paired__Ex,axiom,
! [P_7: produc2088785539on_val > $o] :
( ( ?? @ produc2088785539on_val @ P_7 )
<=> ? [A_2: list_char,B_4: produc1278157519t_char > option_val] : ( P_7 @ ( produc926070009on_val @ A_2 @ B_4 ) ) ) ).
thf(fact_224_split__paired__Ex,axiom,
! [P_7: produc1278157519t_char > $o] :
( ( ?? @ produc1278157519t_char @ P_7 )
<=> ? [A_2: list_char,B_4: list_char] : ( P_7 @ ( produc5062597t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_225_split__paired__Ex,axiom,
! [P_7: produc809539159t_char > $o] :
( ( ?? @ produc809539159t_char @ P_7 )
<=> ? [A_2: list_list_char,B_4: exp_list_char] : ( P_7 @ ( produc1147572817t_char @ A_2 @ B_4 ) ) ) ).
thf(fact_226_hext__trans,axiom,
! [H_5: nat > option1728594148on_val,H_1: nat > option1728594148on_val,H: nat > option1728594148on_val] :
( ( hext @ H_1 @ H )
=> ( ( hext @ H @ H_5 )
=> ( hext @ H_1 @ H_5 ) ) ) ).
thf(fact_227_curryI,axiom,
! [F_9: produc469582463har_ty > $o,A_95: list_char,B_11: produc917948472har_ty] :
( ( F_9 @ ( produc1002914035har_ty @ A_95 @ B_11 ) )
=> ( produc287192r_ty_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_228_curryI,axiom,
! [F_9: produc245756905har_ty > $o,A_95: produc1278157519t_char,B_11: ty] :
( ( F_9 @ ( produc1265154397har_ty @ A_95 @ B_11 ) )
=> ( produc1254654702r_ty_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_229_curryI,axiom,
! [F_9: produc917948472har_ty > $o,A_95: list_char,B_11: ty] :
( ( F_9 @ ( produc251930284har_ty @ A_95 @ B_11 ) )
=> ( produc1348431199r_ty_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_230_curryI,axiom,
! [F_9: produc1534059751t_char > $o,A_95: produc809539159t_char,B_11: produc809539159t_char] :
( ( F_9 @ ( produc1897818327t_char @ A_95 @ B_11 ) )
=> ( produc810272782char_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_231_curryI,axiom,
! [F_9: produc1350825965t_char > $o,A_95: produc1278157519t_char,B_11: produc1278157519t_char] :
( ( F_9 @ ( produc2080520419t_char @ A_95 @ B_11 ) )
=> ( produc1255505282char_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_232_curryI,axiom,
! [F_9: produc1368416213on_val > $o,A_95: produc2088785539on_val,B_11: produc2088785539on_val] :
( ( F_9 @ ( produc1773146955on_val @ A_95 @ B_11 ) )
=> ( produc1333173274_val_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_233_curryI,axiom,
! [F_9: produc800118557al_val > $o,A_95: product_prod_val_val,B_11: product_prod_val_val] :
( ( F_9 @ ( produc1244920211al_val @ A_95 @ B_11 ) )
=> ( produc1669808594_val_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_234_curryI,axiom,
! [F_9: produc630464863al_val > $o,A_95: produc1645268488al_val,B_11: produc1645268488al_val] :
( ( F_9 @ ( produc1924279125al_val @ A_95 @ B_11 ) )
=> ( produc1498697104_val_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_235_curryI,axiom,
! [F_9: produc1826280281t_char > $o,A_95: produc662261637t_char,B_11: produc662261637t_char] :
( ( F_9 @ ( produc1299387215t_char @ A_95 @ B_11 ) )
=> ( produc1625470998char_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_236_curryI,axiom,
! [F_9: produc1406897475t_char > $o,A_95: produc220283002t_char,B_11: produc220283002t_char] :
( ( F_9 @ ( produc57279289t_char @ A_95 @ B_11 ) )
=> ( produc1560057516char_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_237_curryI,axiom,
! [F_9: produc349695911t_char > $o,A_95: produc1285161482t_char,B_11: produc1285161482t_char] :
( ( F_9 @ ( produc24551831t_char @ A_95 @ B_11 ) )
=> ( produc261176398char_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_238_curryI,axiom,
! [F_9: produc1250491293on_val > $o,A_95: produc618524391on_val,B_11: produc618524391on_val] :
( ( F_9 @ ( produc1347028499on_val @ A_95 @ B_11 ) )
=> ( produc317637970_val_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_239_curryI,axiom,
! [F_9: produc1581780743on_val > $o,A_95: produc2090907612on_val,B_11: produc2090907612on_val] :
( ( F_9 @ ( produc259392253on_val @ A_95 @ B_11 ) )
=> ( produc1959713768_val_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_240_curryI,axiom,
! [F_9: produc652964533on_val > $o,A_95: produc1746408499on_val,B_11: produc1746408499on_val] :
( ( F_9 @ ( produc345758123on_val @ A_95 @ B_11 ) )
=> ( produc1882616506_val_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_241_curryI,axiom,
! [F_9: produc1746408499on_val > $o,A_95: produc1282892786on_val,B_11: produc1282892786on_val] :
( ( F_9 @ ( produc833389609on_val @ A_95 @ B_11 ) )
=> ( produc803302844_val_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_242_curryI,axiom,
! [F_9: produc1282892786on_val > $o,A_95: exp_list_char,B_11: produc2090907612on_val] :
( ( F_9 @ ( produc235638504on_val @ A_95 @ B_11 ) )
=> ( produc1287763389_val_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_243_curryI,axiom,
! [F_9: produc2090907612on_val > $o,A_95: nat > option1728594148on_val,B_11: list_char > option_val] :
( ( F_9 @ ( produc755559506on_val @ A_95 @ B_11 ) )
=> ( produc1402621651_val_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_244_curryI,axiom,
! [F_9: produc618524391on_val > $o,A_95: produc1180562163on_val,B_11: produc1180562163on_val] :
( ( F_9 @ ( produc747700183on_val @ A_95 @ B_11 ) )
=> ( produc551782158_val_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_245_curryI,axiom,
! [F_9: produc1180562163on_val > $o,A_95: list_exp_list_char,B_11: produc2090907612on_val] :
( ( F_9 @ ( produc1302104557on_val @ A_95 @ B_11 ) )
=> ( produc618849246_val_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_246_curryI,axiom,
! [F_9: produc1285161482t_char > $o,A_95: list_list_char,B_11: produc220283002t_char] :
( ( F_9 @ ( produc921874948t_char @ A_95 @ B_11 ) )
=> ( produc193646727char_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_247_curryI,axiom,
! [F_9: produc220283002t_char > $o,A_95: list_ty,B_11: produc662261637t_char] :
( ( F_9 @ ( produc1909267824t_char @ A_95 @ B_11 ) )
=> ( produc786676533char_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_248_curryI,axiom,
! [F_9: produc662261637t_char > $o,A_95: list_val,B_11: exp_list_char] :
( ( F_9 @ ( produc1916172923t_char @ A_95 @ B_11 ) )
=> ( produc1072551658char_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_249_curryI,axiom,
! [F_9: produc1645268488al_val > $o,A_95: bop,B_11: product_prod_val_val] :
( ( F_9 @ ( produc621191550al_val @ A_95 @ B_11 ) )
=> ( produc275195559_val_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_250_curryI,axiom,
! [F_9: product_prod_val_val > $o,A_95: val,B_11: val] :
( ( F_9 @ ( product_Pair_val_val @ A_95 @ B_11 ) )
=> ( produc575837646_val_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_251_curryI,axiom,
! [F_9: produc2088785539on_val > $o,A_95: list_char,B_11: produc1278157519t_char > option_val] :
( ( F_9 @ ( produc926070009on_val @ A_95 @ B_11 ) )
=> ( produc1177570924_val_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_252_curryI,axiom,
! [F_9: produc1278157519t_char > $o,A_95: list_char,B_11: list_char] :
( ( F_9 @ ( produc5062597t_char @ A_95 @ B_11 ) )
=> ( produc1709467424char_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_253_curryI,axiom,
! [F_9: produc809539159t_char > $o,A_95: list_list_char,B_11: exp_list_char] :
( ( F_9 @ ( produc1147572817t_char @ A_95 @ B_11 ) )
=> ( produc1404278138char_o @ F_9 @ A_95 @ B_11 ) ) ).
thf(fact_254_reds__hext__incr,axiom,
! [Es_1: list_exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,Es: list_exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val,P: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ Es_1 @ ( produc755559506on_val @ H_1 @ L_1 ) ) @ ( produc1302104557on_val @ Es @ ( produc755559506on_val @ H @ L ) ) ) @ ( reds @ P ) )
=> ( hext @ H_1 @ H ) ) ).
thf(fact_255_red__reds_OTryRed,axiom,
! [C: list_char,V: list_char,E_2_1: exp_list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( red @ P ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ E_1 @ C @ V @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( tryCatch_list_char @ E @ C @ V @ E_2_1 ) @ S ) ) @ ( red @ P ) ) ) ).
thf(fact_256_curryD,axiom,
! [F_8: produc469582463har_ty > $o,A_94: list_char,B_10: produc917948472har_ty] :
( ( produc287192r_ty_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc1002914035har_ty @ A_94 @ B_10 ) ) ) ).
thf(fact_257_curryD,axiom,
! [F_8: produc245756905har_ty > $o,A_94: produc1278157519t_char,B_10: ty] :
( ( produc1254654702r_ty_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc1265154397har_ty @ A_94 @ B_10 ) ) ) ).
thf(fact_258_curryD,axiom,
! [F_8: produc917948472har_ty > $o,A_94: list_char,B_10: ty] :
( ( produc1348431199r_ty_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc251930284har_ty @ A_94 @ B_10 ) ) ) ).
thf(fact_259_curryD,axiom,
! [F_8: produc1534059751t_char > $o,A_94: produc809539159t_char,B_10: produc809539159t_char] :
( ( produc810272782char_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc1897818327t_char @ A_94 @ B_10 ) ) ) ).
thf(fact_260_curryD,axiom,
! [F_8: produc1350825965t_char > $o,A_94: produc1278157519t_char,B_10: produc1278157519t_char] :
( ( produc1255505282char_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc2080520419t_char @ A_94 @ B_10 ) ) ) ).
thf(fact_261_curryD,axiom,
! [F_8: produc1368416213on_val > $o,A_94: produc2088785539on_val,B_10: produc2088785539on_val] :
( ( produc1333173274_val_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc1773146955on_val @ A_94 @ B_10 ) ) ) ).
thf(fact_262_curryD,axiom,
! [F_8: produc800118557al_val > $o,A_94: product_prod_val_val,B_10: product_prod_val_val] :
( ( produc1669808594_val_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc1244920211al_val @ A_94 @ B_10 ) ) ) ).
thf(fact_263_curryD,axiom,
! [F_8: produc630464863al_val > $o,A_94: produc1645268488al_val,B_10: produc1645268488al_val] :
( ( produc1498697104_val_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc1924279125al_val @ A_94 @ B_10 ) ) ) ).
thf(fact_264_curryD,axiom,
! [F_8: produc1826280281t_char > $o,A_94: produc662261637t_char,B_10: produc662261637t_char] :
( ( produc1625470998char_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc1299387215t_char @ A_94 @ B_10 ) ) ) ).
thf(fact_265_curryD,axiom,
! [F_8: produc1406897475t_char > $o,A_94: produc220283002t_char,B_10: produc220283002t_char] :
( ( produc1560057516char_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc57279289t_char @ A_94 @ B_10 ) ) ) ).
thf(fact_266_curryD,axiom,
! [F_8: produc349695911t_char > $o,A_94: produc1285161482t_char,B_10: produc1285161482t_char] :
( ( produc261176398char_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc24551831t_char @ A_94 @ B_10 ) ) ) ).
thf(fact_267_curryD,axiom,
! [F_8: produc1250491293on_val > $o,A_94: produc618524391on_val,B_10: produc618524391on_val] :
( ( produc317637970_val_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc1347028499on_val @ A_94 @ B_10 ) ) ) ).
thf(fact_268_curryD,axiom,
! [F_8: produc1581780743on_val > $o,A_94: produc2090907612on_val,B_10: produc2090907612on_val] :
( ( produc1959713768_val_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc259392253on_val @ A_94 @ B_10 ) ) ) ).
thf(fact_269_curryD,axiom,
! [F_8: produc652964533on_val > $o,A_94: produc1746408499on_val,B_10: produc1746408499on_val] :
( ( produc1882616506_val_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc345758123on_val @ A_94 @ B_10 ) ) ) ).
thf(fact_270_curryD,axiom,
! [F_8: produc1746408499on_val > $o,A_94: produc1282892786on_val,B_10: produc1282892786on_val] :
( ( produc803302844_val_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc833389609on_val @ A_94 @ B_10 ) ) ) ).
thf(fact_271_curryD,axiom,
! [F_8: produc1282892786on_val > $o,A_94: exp_list_char,B_10: produc2090907612on_val] :
( ( produc1287763389_val_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc235638504on_val @ A_94 @ B_10 ) ) ) ).
thf(fact_272_curryD,axiom,
! [F_8: produc2090907612on_val > $o,A_94: nat > option1728594148on_val,B_10: list_char > option_val] :
( ( produc1402621651_val_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc755559506on_val @ A_94 @ B_10 ) ) ) ).
thf(fact_273_curryD,axiom,
! [F_8: produc618524391on_val > $o,A_94: produc1180562163on_val,B_10: produc1180562163on_val] :
( ( produc551782158_val_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc747700183on_val @ A_94 @ B_10 ) ) ) ).
thf(fact_274_curryD,axiom,
! [F_8: produc1180562163on_val > $o,A_94: list_exp_list_char,B_10: produc2090907612on_val] :
( ( produc618849246_val_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc1302104557on_val @ A_94 @ B_10 ) ) ) ).
thf(fact_275_curryD,axiom,
! [F_8: produc1285161482t_char > $o,A_94: list_list_char,B_10: produc220283002t_char] :
( ( produc193646727char_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc921874948t_char @ A_94 @ B_10 ) ) ) ).
thf(fact_276_curryD,axiom,
! [F_8: produc220283002t_char > $o,A_94: list_ty,B_10: produc662261637t_char] :
( ( produc786676533char_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc1909267824t_char @ A_94 @ B_10 ) ) ) ).
thf(fact_277_curryD,axiom,
! [F_8: produc662261637t_char > $o,A_94: list_val,B_10: exp_list_char] :
( ( produc1072551658char_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc1916172923t_char @ A_94 @ B_10 ) ) ) ).
thf(fact_278_curryD,axiom,
! [F_8: produc1645268488al_val > $o,A_94: bop,B_10: product_prod_val_val] :
( ( produc275195559_val_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc621191550al_val @ A_94 @ B_10 ) ) ) ).
thf(fact_279_curryD,axiom,
! [F_8: product_prod_val_val > $o,A_94: val,B_10: val] :
( ( produc575837646_val_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( product_Pair_val_val @ A_94 @ B_10 ) ) ) ).
thf(fact_280_curryD,axiom,
! [F_8: produc2088785539on_val > $o,A_94: list_char,B_10: produc1278157519t_char > option_val] :
( ( produc1177570924_val_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc926070009on_val @ A_94 @ B_10 ) ) ) ).
thf(fact_281_curryD,axiom,
! [F_8: produc1278157519t_char > $o,A_94: list_char,B_10: list_char] :
( ( produc1709467424char_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc5062597t_char @ A_94 @ B_10 ) ) ) ).
thf(fact_282_curryD,axiom,
! [F_8: produc809539159t_char > $o,A_94: list_list_char,B_10: exp_list_char] :
( ( produc1404278138char_o @ F_8 @ A_94 @ B_10 )
=> ( F_8 @ ( produc1147572817t_char @ A_94 @ B_10 ) ) ) ).
thf(fact_283_curryE,axiom,
! [F_7: produc469582463har_ty > $o,A_93: list_char,B_9: produc917948472har_ty] :
( ( produc287192r_ty_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc1002914035har_ty @ A_93 @ B_9 ) ) ) ).
thf(fact_284_curryE,axiom,
! [F_7: produc245756905har_ty > $o,A_93: produc1278157519t_char,B_9: ty] :
( ( produc1254654702r_ty_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc1265154397har_ty @ A_93 @ B_9 ) ) ) ).
thf(fact_285_curryE,axiom,
! [F_7: produc917948472har_ty > $o,A_93: list_char,B_9: ty] :
( ( produc1348431199r_ty_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc251930284har_ty @ A_93 @ B_9 ) ) ) ).
thf(fact_286_curryE,axiom,
! [F_7: produc1534059751t_char > $o,A_93: produc809539159t_char,B_9: produc809539159t_char] :
( ( produc810272782char_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc1897818327t_char @ A_93 @ B_9 ) ) ) ).
thf(fact_287_curryE,axiom,
! [F_7: produc1350825965t_char > $o,A_93: produc1278157519t_char,B_9: produc1278157519t_char] :
( ( produc1255505282char_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc2080520419t_char @ A_93 @ B_9 ) ) ) ).
thf(fact_288_curryE,axiom,
! [F_7: produc1368416213on_val > $o,A_93: produc2088785539on_val,B_9: produc2088785539on_val] :
( ( produc1333173274_val_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc1773146955on_val @ A_93 @ B_9 ) ) ) ).
thf(fact_289_curryE,axiom,
! [F_7: produc800118557al_val > $o,A_93: product_prod_val_val,B_9: product_prod_val_val] :
( ( produc1669808594_val_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc1244920211al_val @ A_93 @ B_9 ) ) ) ).
thf(fact_290_curryE,axiom,
! [F_7: produc630464863al_val > $o,A_93: produc1645268488al_val,B_9: produc1645268488al_val] :
( ( produc1498697104_val_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc1924279125al_val @ A_93 @ B_9 ) ) ) ).
thf(fact_291_curryE,axiom,
! [F_7: produc1826280281t_char > $o,A_93: produc662261637t_char,B_9: produc662261637t_char] :
( ( produc1625470998char_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc1299387215t_char @ A_93 @ B_9 ) ) ) ).
thf(fact_292_curryE,axiom,
! [F_7: produc1406897475t_char > $o,A_93: produc220283002t_char,B_9: produc220283002t_char] :
( ( produc1560057516char_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc57279289t_char @ A_93 @ B_9 ) ) ) ).
thf(fact_293_curryE,axiom,
! [F_7: produc349695911t_char > $o,A_93: produc1285161482t_char,B_9: produc1285161482t_char] :
( ( produc261176398char_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc24551831t_char @ A_93 @ B_9 ) ) ) ).
thf(fact_294_curryE,axiom,
! [F_7: produc1250491293on_val > $o,A_93: produc618524391on_val,B_9: produc618524391on_val] :
( ( produc317637970_val_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc1347028499on_val @ A_93 @ B_9 ) ) ) ).
thf(fact_295_curryE,axiom,
! [F_7: produc1581780743on_val > $o,A_93: produc2090907612on_val,B_9: produc2090907612on_val] :
( ( produc1959713768_val_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc259392253on_val @ A_93 @ B_9 ) ) ) ).
thf(fact_296_curryE,axiom,
! [F_7: produc652964533on_val > $o,A_93: produc1746408499on_val,B_9: produc1746408499on_val] :
( ( produc1882616506_val_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc345758123on_val @ A_93 @ B_9 ) ) ) ).
thf(fact_297_curryE,axiom,
! [F_7: produc1746408499on_val > $o,A_93: produc1282892786on_val,B_9: produc1282892786on_val] :
( ( produc803302844_val_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc833389609on_val @ A_93 @ B_9 ) ) ) ).
thf(fact_298_curryE,axiom,
! [F_7: produc1282892786on_val > $o,A_93: exp_list_char,B_9: produc2090907612on_val] :
( ( produc1287763389_val_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc235638504on_val @ A_93 @ B_9 ) ) ) ).
thf(fact_299_curryE,axiom,
! [F_7: produc2090907612on_val > $o,A_93: nat > option1728594148on_val,B_9: list_char > option_val] :
( ( produc1402621651_val_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc755559506on_val @ A_93 @ B_9 ) ) ) ).
thf(fact_300_curryE,axiom,
! [F_7: produc618524391on_val > $o,A_93: produc1180562163on_val,B_9: produc1180562163on_val] :
( ( produc551782158_val_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc747700183on_val @ A_93 @ B_9 ) ) ) ).
thf(fact_301_curryE,axiom,
! [F_7: produc1180562163on_val > $o,A_93: list_exp_list_char,B_9: produc2090907612on_val] :
( ( produc618849246_val_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc1302104557on_val @ A_93 @ B_9 ) ) ) ).
thf(fact_302_curryE,axiom,
! [F_7: produc1285161482t_char > $o,A_93: list_list_char,B_9: produc220283002t_char] :
( ( produc193646727char_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc921874948t_char @ A_93 @ B_9 ) ) ) ).
thf(fact_303_curryE,axiom,
! [F_7: produc220283002t_char > $o,A_93: list_ty,B_9: produc662261637t_char] :
( ( produc786676533char_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc1909267824t_char @ A_93 @ B_9 ) ) ) ).
thf(fact_304_curryE,axiom,
! [F_7: produc662261637t_char > $o,A_93: list_val,B_9: exp_list_char] :
( ( produc1072551658char_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc1916172923t_char @ A_93 @ B_9 ) ) ) ).
thf(fact_305_curryE,axiom,
! [F_7: produc1645268488al_val > $o,A_93: bop,B_9: product_prod_val_val] :
( ( produc275195559_val_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc621191550al_val @ A_93 @ B_9 ) ) ) ).
thf(fact_306_curryE,axiom,
! [F_7: product_prod_val_val > $o,A_93: val,B_9: val] :
( ( produc575837646_val_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( product_Pair_val_val @ A_93 @ B_9 ) ) ) ).
thf(fact_307_curryE,axiom,
! [F_7: produc2088785539on_val > $o,A_93: list_char,B_9: produc1278157519t_char > option_val] :
( ( produc1177570924_val_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc926070009on_val @ A_93 @ B_9 ) ) ) ).
thf(fact_308_curryE,axiom,
! [F_7: produc1278157519t_char > $o,A_93: list_char,B_9: list_char] :
( ( produc1709467424char_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc5062597t_char @ A_93 @ B_9 ) ) ) ).
thf(fact_309_curryE,axiom,
! [F_7: produc809539159t_char > $o,A_93: list_list_char,B_9: exp_list_char] :
( ( produc1404278138char_o @ F_7 @ A_93 @ B_9 )
=> ( F_7 @ ( produc1147572817t_char @ A_93 @ B_9 ) ) ) ).
thf(fact_310_curry__conv,axiom,
! [F_6: produc1746408499on_val > $o,A_92: produc1282892786on_val,B_8: produc1282892786on_val] :
( ( produc803302844_val_o @ F_6 @ A_92 @ B_8 )
<=> ( F_6 @ ( produc833389609on_val @ A_92 @ B_8 ) ) ) ).
thf(fact_311_curry__conv,axiom,
! [F_6: produc1282892786on_val > $o,A_92: exp_list_char,B_8: produc2090907612on_val] :
( ( produc1287763389_val_o @ F_6 @ A_92 @ B_8 )
<=> ( F_6 @ ( produc235638504on_val @ A_92 @ B_8 ) ) ) ).
thf(fact_312_curry__conv,axiom,
! [F_6: produc2090907612on_val > $o,A_92: nat > option1728594148on_val,B_8: list_char > option_val] :
( ( produc1402621651_val_o @ F_6 @ A_92 @ B_8 )
<=> ( F_6 @ ( produc755559506on_val @ A_92 @ B_8 ) ) ) ).
thf(fact_313_curry__conv,axiom,
! [F_6: produc618524391on_val > $o,A_92: produc1180562163on_val,B_8: produc1180562163on_val] :
( ( produc551782158_val_o @ F_6 @ A_92 @ B_8 )
<=> ( F_6 @ ( produc747700183on_val @ A_92 @ B_8 ) ) ) ).
thf(fact_314_curry__conv,axiom,
! [F_6: produc1180562163on_val > $o,A_92: list_exp_list_char,B_8: produc2090907612on_val] :
( ( produc618849246_val_o @ F_6 @ A_92 @ B_8 )
<=> ( F_6 @ ( produc1302104557on_val @ A_92 @ B_8 ) ) ) ).
thf(fact_315_curry__conv,axiom,
! [F_6: produc1285161482t_char > $o,A_92: list_list_char,B_8: produc220283002t_char] :
( ( produc193646727char_o @ F_6 @ A_92 @ B_8 )
<=> ( F_6 @ ( produc921874948t_char @ A_92 @ B_8 ) ) ) ).
thf(fact_316_curry__conv,axiom,
! [F_6: produc220283002t_char > $o,A_92: list_ty,B_8: produc662261637t_char] :
( ( produc786676533char_o @ F_6 @ A_92 @ B_8 )
<=> ( F_6 @ ( produc1909267824t_char @ A_92 @ B_8 ) ) ) ).
thf(fact_317_curry__conv,axiom,
! [F_6: produc662261637t_char > $o,A_92: list_val,B_8: exp_list_char] :
( ( produc1072551658char_o @ F_6 @ A_92 @ B_8 )
<=> ( F_6 @ ( produc1916172923t_char @ A_92 @ B_8 ) ) ) ).
thf(fact_318_curry__conv,axiom,
! [F_6: produc1645268488al_val > $o,A_92: bop,B_8: product_prod_val_val] :
( ( produc275195559_val_o @ F_6 @ A_92 @ B_8 )
<=> ( F_6 @ ( produc621191550al_val @ A_92 @ B_8 ) ) ) ).
thf(fact_319_curry__conv,axiom,
! [F_6: product_prod_val_val > $o,A_92: val,B_8: val] :
( ( produc575837646_val_o @ F_6 @ A_92 @ B_8 )
<=> ( F_6 @ ( product_Pair_val_val @ A_92 @ B_8 ) ) ) ).
thf(fact_320_curry__conv,axiom,
! [F_6: produc2088785539on_val > $o,A_92: list_char,B_8: produc1278157519t_char > option_val] :
( ( produc1177570924_val_o @ F_6 @ A_92 @ B_8 )
<=> ( F_6 @ ( produc926070009on_val @ A_92 @ B_8 ) ) ) ).
thf(fact_321_curry__conv,axiom,
! [F_6: produc1278157519t_char > $o,A_92: list_char,B_8: list_char] :
( ( produc1709467424char_o @ F_6 @ A_92 @ B_8 )
<=> ( F_6 @ ( produc5062597t_char @ A_92 @ B_8 ) ) ) ).
thf(fact_322_curry__conv,axiom,
! [F_6: produc809539159t_char > $o,A_92: list_list_char,B_8: exp_list_char] :
( ( produc1404278138char_o @ F_6 @ A_92 @ B_8 )
<=> ( F_6 @ ( produc1147572817t_char @ A_92 @ B_8 ) ) ) ).
thf(fact_323_red__reds_OListRed1,axiom,
! [Es_1: list_exp_list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( red @ P ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ ( cons_exp_list_char @ E_1 @ Es_1 ) @ S_1 ) @ ( produc1302104557on_val @ ( cons_exp_list_char @ E @ Es_1 ) @ S ) ) @ ( reds @ P ) ) ) ).
thf(fact_324_Red__lcl__add,axiom,
! [L_0: list_char > option_val,E_1: exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,E: exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ ( produc755559506on_val @ H_1 @ L_1 ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ H @ L ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ ( produc755559506on_val @ H_1 @ ( map_ad325961431ar_val @ L_0 @ L_1 ) ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ H @ ( map_ad325961431ar_val @ L_0 @ L ) ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_325_red__reds_ORedTry,axiom,
! [V_1: val,C: list_char,V: list_char,E_2_1: exp_list_char,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ ( val_list_char @ V_1 ) @ C @ V @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ V_1 ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_326_map__add__assoc,axiom,
! [M1: list_char > option_val,M2: list_char > option_val,M3: list_char > option_val] :
( ( map_ad325961431ar_val @ M1 @ ( map_ad325961431ar_val @ M2 @ M3 ) )
= ( map_ad325961431ar_val @ ( map_ad325961431ar_val @ M1 @ M2 ) @ M3 ) ) ).
thf(fact_327_exp_Osimps_I15_J,axiom,
! [Exp1_155: exp_list_char,List_56: list_char,A_91: list_char,Exp2_155: exp_list_char,Exp1_154: exp_list_char,List_55: list_char,A_90: list_char,Exp2_154: exp_list_char] :
( ( ( tryCatch_list_char @ Exp1_155 @ List_56 @ A_91 @ Exp2_155 )
= ( tryCatch_list_char @ Exp1_154 @ List_55 @ A_90 @ Exp2_154 ) )
<=> ( ( Exp1_155 = Exp1_154 )
& ( List_56 = List_55 )
& ( A_91 = A_90 )
& ( Exp2_155 = Exp2_154 ) ) ) ).
thf(fact_328_red__reds_OFAccRed,axiom,
! [F: list_char,D: list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( red @ P ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ E_1 @ F @ D ) @ S_1 ) @ ( produc235638504on_val @ ( fAcc_list_char @ E @ F @ D ) @ S ) ) @ ( red @ P ) ) ) ).
thf(fact_329_red__reds_OCastRed,axiom,
! [C: list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( red @ P ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ C @ E_1 ) @ S_1 ) @ ( produc235638504on_val @ ( cast_list_char @ C @ E ) @ S ) ) @ ( red @ P ) ) ) ).
thf(fact_330_red__reds_OCondRed,axiom,
! [E_1_1: exp_list_char,E_2_1: exp_list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( red @ P ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ E_1 @ E_1_1 @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( cond_list_char @ E @ E_1_1 @ E_2_1 ) @ S ) ) @ ( red @ P ) ) ) ).
thf(fact_331_red__reds_OCallParams,axiom,
! [V_1: val,M: list_char,Es_1: list_exp_list_char,S_1: produc2090907612on_val,Es: list_exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ Es_1 @ S_1 ) @ ( produc1302104557on_val @ Es @ S ) ) @ ( reds @ P ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ V_1 ) @ M @ Es_1 ) @ S_1 ) @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ V_1 ) @ M @ Es ) @ S ) ) @ ( red @ P ) ) ) ).
thf(fact_332_red__reds_OBinOpRed1,axiom,
! [Bop: bop,E_2_1: exp_list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( red @ P ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ E_1 @ Bop @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( binOp_list_char @ E @ Bop @ E_2_1 ) @ S ) ) @ ( red @ P ) ) ) ).
thf(fact_333_red__reds_OCallObj,axiom,
! [M: list_char,Es_1: list_exp_list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( red @ P ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ E_1 @ M @ Es_1 ) @ S_1 ) @ ( produc235638504on_val @ ( call_list_char @ E @ M @ Es_1 ) @ S ) ) @ ( red @ P ) ) ) ).
thf(fact_334_exp_Osimps_I45_J,axiom,
! [Val_25: val,List_54: list_char,Exp_155: exp_list_char] :
( ( val_list_char @ Val_25 )
!= ( cast_list_char @ List_54 @ Exp_155 ) ) ).
thf(fact_335_exp_Osimps_I80_J,axiom,
! [Val_24: val,Exp_154: exp_list_char,List1_77: list_char,List2_77: list_exp_list_char] :
( ( val_list_char @ Val_24 )
!= ( call_list_char @ Exp_154 @ List1_77 @ List2_77 ) ) ).
thf(fact_336_exp_Osimps_I86_J,axiom,
! [Val_23: val,Exp1_153: exp_list_char,Exp2_153: exp_list_char,Exp3_25: exp_list_char] :
( ( val_list_char @ Val_23 )
!= ( cond_list_char @ Exp1_153 @ Exp2_153 @ Exp3_25 ) ) ).
thf(fact_337_exp_Osimps_I76_J,axiom,
! [Val_22: val,Exp_153: exp_list_char,List1_76: list_char,List2_76: list_char] :
( ( val_list_char @ Val_22 )
!= ( fAcc_list_char @ Exp_153 @ List1_76 @ List2_76 ) ) ).
thf(fact_338_exp_Osimps_I70_J,axiom,
! [Val_21: val,Exp1_152: exp_list_char,Bop_26: bop,Exp2_152: exp_list_char] :
( ( val_list_char @ Val_21 )
!= ( binOp_list_char @ Exp1_152 @ Bop_26 @ Exp2_152 ) ) ).
thf(fact_339_exp_Osimps_I44_J,axiom,
! [List_53: list_char,Exp_152: exp_list_char,Val_20: val] :
( ( cast_list_char @ List_53 @ Exp_152 )
!= ( val_list_char @ Val_20 ) ) ).
thf(fact_340_exp_Osimps_I56_J,axiom,
! [List_52: list_char,Exp_151: exp_list_char,Exp_150: exp_list_char,List1_75: list_char,List2_75: list_exp_list_char] :
( ( cast_list_char @ List_52 @ Exp_151 )
!= ( call_list_char @ Exp_150 @ List1_75 @ List2_75 ) ) ).
thf(fact_341_exp_Osimps_I62_J,axiom,
! [List_51: list_char,Exp_149: exp_list_char,Exp1_151: exp_list_char,Exp2_151: exp_list_char,Exp3_24: exp_list_char] :
( ( cast_list_char @ List_51 @ Exp_149 )
!= ( cond_list_char @ Exp1_151 @ Exp2_151 @ Exp3_24 ) ) ).
thf(fact_342_exp_Osimps_I52_J,axiom,
! [List_50: list_char,Exp_148: exp_list_char,Exp_147: exp_list_char,List1_74: list_char,List2_74: list_char] :
( ( cast_list_char @ List_50 @ Exp_148 )
!= ( fAcc_list_char @ Exp_147 @ List1_74 @ List2_74 ) ) ).
thf(fact_343_exp_Osimps_I46_J,axiom,
! [List_49: list_char,Exp_146: exp_list_char,Exp1_150: exp_list_char,Bop_25: bop,Exp2_150: exp_list_char] :
( ( cast_list_char @ List_49 @ Exp_146 )
!= ( binOp_list_char @ Exp1_150 @ Bop_25 @ Exp2_150 ) ) ).
thf(fact_344_exp_Osimps_I81_J,axiom,
! [Exp_145: exp_list_char,List1_73: list_char,List2_73: list_exp_list_char,Val_19: val] :
( ( call_list_char @ Exp_145 @ List1_73 @ List2_73 )
!= ( val_list_char @ Val_19 ) ) ).
thf(fact_345_exp_Osimps_I87_J,axiom,
! [Exp1_149: exp_list_char,Exp2_149: exp_list_char,Exp3_23: exp_list_char,Val_18: val] :
( ( cond_list_char @ Exp1_149 @ Exp2_149 @ Exp3_23 )
!= ( val_list_char @ Val_18 ) ) ).
thf(fact_346_exp_Osimps_I77_J,axiom,
! [Exp_144: exp_list_char,List1_72: list_char,List2_72: list_char,Val_17: val] :
( ( fAcc_list_char @ Exp_144 @ List1_72 @ List2_72 )
!= ( val_list_char @ Val_17 ) ) ).
thf(fact_347_exp_Osimps_I71_J,axiom,
! [Exp1_148: exp_list_char,Bop_24: bop,Exp2_148: exp_list_char,Val_16: val] :
( ( binOp_list_char @ Exp1_148 @ Bop_24 @ Exp2_148 )
!= ( val_list_char @ Val_16 ) ) ).
thf(fact_348_exp_Osimps_I57_J,axiom,
! [Exp_143: exp_list_char,List1_71: list_char,List2_71: list_exp_list_char,List_48: list_char,Exp_142: exp_list_char] :
( ( call_list_char @ Exp_143 @ List1_71 @ List2_71 )
!= ( cast_list_char @ List_48 @ Exp_142 ) ) ).
thf(fact_349_exp_Osimps_I63_J,axiom,
! [Exp1_147: exp_list_char,Exp2_147: exp_list_char,Exp3_22: exp_list_char,List_47: list_char,Exp_141: exp_list_char] :
( ( cond_list_char @ Exp1_147 @ Exp2_147 @ Exp3_22 )
!= ( cast_list_char @ List_47 @ Exp_141 ) ) ).
thf(fact_350_exp_Osimps_I53_J,axiom,
! [Exp_140: exp_list_char,List1_70: list_char,List2_70: list_char,List_46: list_char,Exp_139: exp_list_char] :
( ( fAcc_list_char @ Exp_140 @ List1_70 @ List2_70 )
!= ( cast_list_char @ List_46 @ Exp_139 ) ) ).
thf(fact_351_exp_Osimps_I47_J,axiom,
! [Exp1_146: exp_list_char,Bop_23: bop,Exp2_146: exp_list_char,List_45: list_char,Exp_138: exp_list_char] :
( ( binOp_list_char @ Exp1_146 @ Bop_23 @ Exp2_146 )
!= ( cast_list_char @ List_45 @ Exp_138 ) ) ).
thf(fact_352_exp_Osimps_I188_J,axiom,
! [Exp_137: exp_list_char,List1_69: list_char,List2_69: list_exp_list_char,Exp1_145: exp_list_char,Exp2_145: exp_list_char,Exp3_21: exp_list_char] :
( ( call_list_char @ Exp_137 @ List1_69 @ List2_69 )
!= ( cond_list_char @ Exp1_145 @ Exp2_145 @ Exp3_21 ) ) ).
thf(fact_353_exp_Osimps_I157_J,axiom,
! [Exp_136: exp_list_char,List1_68: list_char,List2_68: list_exp_list_char,Exp_135: exp_list_char,List1_67: list_char,List2_67: list_char] :
( ( call_list_char @ Exp_136 @ List1_68 @ List2_68 )
!= ( fAcc_list_char @ Exp_135 @ List1_67 @ List2_67 ) ) ).
thf(fact_354_exp_Osimps_I103_J,axiom,
! [Exp_134: exp_list_char,List1_66: list_char,List2_66: list_exp_list_char,Exp1_144: exp_list_char,Bop_22: bop,Exp2_144: exp_list_char] :
( ( call_list_char @ Exp_134 @ List1_66 @ List2_66 )
!= ( binOp_list_char @ Exp1_144 @ Bop_22 @ Exp2_144 ) ) ).
thf(fact_355_exp_Osimps_I189_J,axiom,
! [Exp1_143: exp_list_char,Exp2_143: exp_list_char,Exp3_20: exp_list_char,Exp_133: exp_list_char,List1_65: list_char,List2_65: list_exp_list_char] :
( ( cond_list_char @ Exp1_143 @ Exp2_143 @ Exp3_20 )
!= ( call_list_char @ Exp_133 @ List1_65 @ List2_65 ) ) ).
thf(fact_356_exp_Osimps_I163_J,axiom,
! [Exp1_142: exp_list_char,Exp2_142: exp_list_char,Exp3_19: exp_list_char,Exp_132: exp_list_char,List1_64: list_char,List2_64: list_char] :
( ( cond_list_char @ Exp1_142 @ Exp2_142 @ Exp3_19 )
!= ( fAcc_list_char @ Exp_132 @ List1_64 @ List2_64 ) ) ).
thf(fact_357_exp_Osimps_I109_J,axiom,
! [Exp1_141: exp_list_char,Exp2_141: exp_list_char,Exp3_18: exp_list_char,Exp1_140: exp_list_char,Bop_21: bop,Exp2_140: exp_list_char] :
( ( cond_list_char @ Exp1_141 @ Exp2_141 @ Exp3_18 )
!= ( binOp_list_char @ Exp1_140 @ Bop_21 @ Exp2_140 ) ) ).
thf(fact_358_exp_Osimps_I156_J,axiom,
! [Exp_131: exp_list_char,List1_63: list_char,List2_63: list_char,Exp_130: exp_list_char,List1_62: list_char,List2_62: list_exp_list_char] :
( ( fAcc_list_char @ Exp_131 @ List1_63 @ List2_63 )
!= ( call_list_char @ Exp_130 @ List1_62 @ List2_62 ) ) ).
thf(fact_359_exp_Osimps_I162_J,axiom,
! [Exp_129: exp_list_char,List1_61: list_char,List2_61: list_char,Exp1_139: exp_list_char,Exp2_139: exp_list_char,Exp3_17: exp_list_char] :
( ( fAcc_list_char @ Exp_129 @ List1_61 @ List2_61 )
!= ( cond_list_char @ Exp1_139 @ Exp2_139 @ Exp3_17 ) ) ).
thf(fact_360_exp_Osimps_I99_J,axiom,
! [Exp_128: exp_list_char,List1_60: list_char,List2_60: list_char,Exp1_138: exp_list_char,Bop_20: bop,Exp2_138: exp_list_char] :
( ( fAcc_list_char @ Exp_128 @ List1_60 @ List2_60 )
!= ( binOp_list_char @ Exp1_138 @ Bop_20 @ Exp2_138 ) ) ).
thf(fact_361_exp_Osimps_I102_J,axiom,
! [Exp1_137: exp_list_char,Bop_19: bop,Exp2_137: exp_list_char,Exp_127: exp_list_char,List1_59: list_char,List2_59: list_exp_list_char] :
( ( binOp_list_char @ Exp1_137 @ Bop_19 @ Exp2_137 )
!= ( call_list_char @ Exp_127 @ List1_59 @ List2_59 ) ) ).
thf(fact_362_exp_Osimps_I108_J,axiom,
! [Exp1_136: exp_list_char,Bop_18: bop,Exp2_136: exp_list_char,Exp1_135: exp_list_char,Exp2_135: exp_list_char,Exp3_16: exp_list_char] :
( ( binOp_list_char @ Exp1_136 @ Bop_18 @ Exp2_136 )
!= ( cond_list_char @ Exp1_135 @ Exp2_135 @ Exp3_16 ) ) ).
thf(fact_363_exp_Osimps_I98_J,axiom,
! [Exp1_134: exp_list_char,Bop_17: bop,Exp2_134: exp_list_char,Exp_126: exp_list_char,List1_58: list_char,List2_58: list_char] :
( ( binOp_list_char @ Exp1_134 @ Bop_17 @ Exp2_134 )
!= ( fAcc_list_char @ Exp_126 @ List1_58 @ List2_58 ) ) ).
thf(fact_364_exp_Osimps_I3_J,axiom,
! [Val_15: val,Val_14: val] :
( ( ( val_list_char @ Val_15 )
= ( val_list_char @ Val_14 ) )
<=> ( Val_15 = Val_14 ) ) ).
thf(fact_365_exp_Osimps_I2_J,axiom,
! [List_44: list_char,Exp_125: exp_list_char,List_43: list_char,Exp_124: exp_list_char] :
( ( ( cast_list_char @ List_44 @ Exp_125 )
= ( cast_list_char @ List_43 @ Exp_124 ) )
<=> ( ( List_44 = List_43 )
& ( Exp_125 = Exp_124 ) ) ) ).
thf(fact_366_exp_Osimps_I9_J,axiom,
! [Exp_123: exp_list_char,List1_57: list_char,List2_57: list_exp_list_char,Exp_122: exp_list_char,List1_56: list_char,List2_56: list_exp_list_char] :
( ( ( call_list_char @ Exp_123 @ List1_57 @ List2_57 )
= ( call_list_char @ Exp_122 @ List1_56 @ List2_56 ) )
<=> ( ( Exp_123 = Exp_122 )
& ( List1_57 = List1_56 )
& ( List2_57 = List2_56 ) ) ) ).
thf(fact_367_exp_Osimps_I12_J,axiom,
! [Exp1_133: exp_list_char,Exp2_133: exp_list_char,Exp3_15: exp_list_char,Exp1_132: exp_list_char,Exp2_132: exp_list_char,Exp3_14: exp_list_char] :
( ( ( cond_list_char @ Exp1_133 @ Exp2_133 @ Exp3_15 )
= ( cond_list_char @ Exp1_132 @ Exp2_132 @ Exp3_14 ) )
<=> ( ( Exp1_133 = Exp1_132 )
& ( Exp2_133 = Exp2_132 )
& ( Exp3_15 = Exp3_14 ) ) ) ).
thf(fact_368_exp_Osimps_I7_J,axiom,
! [Exp_121: exp_list_char,List1_55: list_char,List2_55: list_char,Exp_120: exp_list_char,List1_54: list_char,List2_54: list_char] :
( ( ( fAcc_list_char @ Exp_121 @ List1_55 @ List2_55 )
= ( fAcc_list_char @ Exp_120 @ List1_54 @ List2_54 ) )
<=> ( ( Exp_121 = Exp_120 )
& ( List1_55 = List1_54 )
& ( List2_55 = List2_54 ) ) ) ).
thf(fact_369_exp_Osimps_I4_J,axiom,
! [Exp1_131: exp_list_char,Bop_16: bop,Exp2_131: exp_list_char,Exp1_130: exp_list_char,Bop_15: bop,Exp2_130: exp_list_char] :
( ( ( binOp_list_char @ Exp1_131 @ Bop_16 @ Exp2_131 )
= ( binOp_list_char @ Exp1_130 @ Bop_15 @ Exp2_130 ) )
<=> ( ( Exp1_131 = Exp1_130 )
& ( Bop_16 = Bop_15 )
& ( Exp2_131 = Exp2_130 ) ) ) ).
thf(fact_370_exp_Osimps_I92_J,axiom,
! [Val_13: val,Exp1_129: exp_list_char,List_42: list_char,A_89: list_char,Exp2_129: exp_list_char] :
( ( val_list_char @ Val_13 )
!= ( tryCatch_list_char @ Exp1_129 @ List_42 @ A_89 @ Exp2_129 ) ) ).
thf(fact_371_mem__def,axiom,
! [X_13: produc917948472har_ty,A_88: produc917948472har_ty > $o] :
( ( member503779467har_ty @ X_13 @ A_88 )
<=> ( A_88 @ X_13 ) ) ).
thf(fact_372_mem__def,axiom,
! [X_13: produc245756905har_ty,A_88: produc245756905har_ty > $o] :
( ( member1783291580har_ty @ X_13 @ A_88 )
<=> ( A_88 @ X_13 ) ) ).
thf(fact_373_mem__def,axiom,
! [X_13: product_prod_val_val,A_88: product_prod_val_val > $o] :
( ( member649088532al_val @ X_13 @ A_88 )
<=> ( A_88 @ X_13 ) ) ).
thf(fact_374_mem__def,axiom,
! [X_13: produc1534059751t_char,A_88: produc1534059751t_char > $o] :
( ( member1999287380t_char @ X_13 @ A_88 )
<=> ( A_88 @ X_13 ) ) ).
thf(fact_375_mem__def,axiom,
! [X_13: produc1350825965t_char,A_88: produc1350825965t_char > $o] :
( ( member794220506t_char @ X_13 @ A_88 )
<=> ( A_88 @ X_13 ) ) ).
thf(fact_376_mem__def,axiom,
! [X_13: produc1368416213on_val,A_88: produc1368416213on_val > $o] :
( ( member1235075778on_val @ X_13 @ A_88 )
<=> ( A_88 @ X_13 ) ) ).
thf(fact_377_mem__def,axiom,
! [X_13: produc800118557al_val,A_88: produc800118557al_val > $o] :
( ( member837208074al_val @ X_13 @ A_88 )
<=> ( A_88 @ X_13 ) ) ).
thf(fact_378_mem__def,axiom,
! [X_13: produc630464863al_val,A_88: produc630464863al_val > $o] :
( ( member1732271180al_val @ X_13 @ A_88 )
<=> ( A_88 @ X_13 ) ) ).
thf(fact_379_mem__def,axiom,
! [X_13: produc1826280281t_char,A_88: produc1826280281t_char > $o] :
( ( member1161907014t_char @ X_13 @ A_88 )
<=> ( A_88 @ X_13 ) ) ).
thf(fact_380_mem__def,axiom,
! [X_13: produc1406897475t_char,A_88: produc1406897475t_char > $o] :
( ( member125098544t_char @ X_13 @ A_88 )
<=> ( A_88 @ X_13 ) ) ).
thf(fact_381_mem__def,axiom,
! [X_13: produc349695911t_char,A_88: produc349695911t_char > $o] :
( ( member1420286996t_char @ X_13 @ A_88 )
<=> ( A_88 @ X_13 ) ) ).
thf(fact_382_mem__def,axiom,
! [X_13: produc1250491293on_val,A_88: produc1250491293on_val > $o] :
( ( member1145216138on_val @ X_13 @ A_88 )
<=> ( A_88 @ X_13 ) ) ).
thf(fact_383_mem__def,axiom,
! [X_13: produc1581780743on_val,A_88: produc1581780743on_val > $o] :
( ( member565037556on_val @ X_13 @ A_88 )
<=> ( A_88 @ X_13 ) ) ).
thf(fact_384_mem__def,axiom,
! [X_13: produc652964533on_val,A_88: produc652964533on_val > $o] :
( ( member1714424482on_val @ X_13 @ A_88 )
<=> ( A_88 @ X_13 ) ) ).
thf(fact_385_mem__def,axiom,
! [X_13: produc1746408499on_val,A_88: produc1746408499on_val > $o] :
( ( member1913460000on_val @ X_13 @ A_88 )
<=> ( A_88 @ X_13 ) ) ).
thf(fact_386_mem__def,axiom,
! [X_13: produc618524391on_val,A_88: produc618524391on_val > $o] :
( ( member2042188884on_val @ X_13 @ A_88 )
<=> ( A_88 @ X_13 ) ) ).
thf(fact_387_mem__def,axiom,
! [X_13: produc1278157519t_char,A_88: produc1278157519t_char > $o] :
( ( member1251428284t_char @ X_13 @ A_88 )
<=> ( A_88 @ X_13 ) ) ).
thf(fact_388_mem__def,axiom,
! [X_13: list_char,A_88: list_char > $o] :
( ( member_list_char @ X_13 @ A_88 )
<=> ( A_88 @ X_13 ) ) ).
thf(fact_389_mem__def,axiom,
! [X_13: nat,A_88: nat > $o] :
( ( member_nat @ X_13 @ A_88 )
<=> ( A_88 @ X_13 ) ) ).
thf(fact_390_Collect__def,axiom,
! [P_6: ty > $o] :
( ( collect_ty @ P_6 )
= P_6 ) ).
thf(fact_391_exp_Osimps_I93_J,axiom,
! [Exp1_128: exp_list_char,List_41: list_char,A_87: list_char,Exp2_128: exp_list_char,Val_12: val] :
( ( tryCatch_list_char @ Exp1_128 @ List_41 @ A_87 @ Exp2_128 )
!= ( val_list_char @ Val_12 ) ) ).
thf(fact_392_exp_Osimps_I68_J,axiom,
! [List_40: list_char,Exp_119: exp_list_char,Exp1_127: exp_list_char,List_39: list_char,A_86: list_char,Exp2_127: exp_list_char] :
( ( cast_list_char @ List_40 @ Exp_119 )
!= ( tryCatch_list_char @ Exp1_127 @ List_39 @ A_86 @ Exp2_127 ) ) ).
thf(fact_393_exp_Osimps_I194_J,axiom,
! [Exp_118: exp_list_char,List1_53: list_char,List2_53: list_exp_list_char,Exp1_126: exp_list_char,List_38: list_char,A_85: list_char,Exp2_126: exp_list_char] :
( ( call_list_char @ Exp_118 @ List1_53 @ List2_53 )
!= ( tryCatch_list_char @ Exp1_126 @ List_38 @ A_85 @ Exp2_126 ) ) ).
thf(fact_394_exp_Osimps_I218_J,axiom,
! [Exp1_125: exp_list_char,Exp2_125: exp_list_char,Exp3_13: exp_list_char,Exp1_124: exp_list_char,List_37: list_char,A_84: list_char,Exp2_124: exp_list_char] :
( ( cond_list_char @ Exp1_125 @ Exp2_125 @ Exp3_13 )
!= ( tryCatch_list_char @ Exp1_124 @ List_37 @ A_84 @ Exp2_124 ) ) ).
thf(fact_395_exp_Osimps_I168_J,axiom,
! [Exp_117: exp_list_char,List1_52: list_char,List2_52: list_char,Exp1_123: exp_list_char,List_36: list_char,A_83: list_char,Exp2_123: exp_list_char] :
( ( fAcc_list_char @ Exp_117 @ List1_52 @ List2_52 )
!= ( tryCatch_list_char @ Exp1_123 @ List_36 @ A_83 @ Exp2_123 ) ) ).
thf(fact_396_exp_Osimps_I114_J,axiom,
! [Exp1_122: exp_list_char,Bop_14: bop,Exp2_122: exp_list_char,Exp1_121: exp_list_char,List_35: list_char,A_82: list_char,Exp2_121: exp_list_char] :
( ( binOp_list_char @ Exp1_122 @ Bop_14 @ Exp2_122 )
!= ( tryCatch_list_char @ Exp1_121 @ List_35 @ A_82 @ Exp2_121 ) ) ).
thf(fact_397_exp_Osimps_I69_J,axiom,
! [Exp1_120: exp_list_char,List_34: list_char,A_81: list_char,Exp2_120: exp_list_char,List_33: list_char,Exp_116: exp_list_char] :
( ( tryCatch_list_char @ Exp1_120 @ List_34 @ A_81 @ Exp2_120 )
!= ( cast_list_char @ List_33 @ Exp_116 ) ) ).
thf(fact_398_exp_Osimps_I195_J,axiom,
! [Exp1_119: exp_list_char,List_32: list_char,A_80: list_char,Exp2_119: exp_list_char,Exp_115: exp_list_char,List1_51: list_char,List2_51: list_exp_list_char] :
( ( tryCatch_list_char @ Exp1_119 @ List_32 @ A_80 @ Exp2_119 )
!= ( call_list_char @ Exp_115 @ List1_51 @ List2_51 ) ) ).
thf(fact_399_exp_Osimps_I219_J,axiom,
! [Exp1_118: exp_list_char,List_31: list_char,A_79: list_char,Exp2_118: exp_list_char,Exp1_117: exp_list_char,Exp2_117: exp_list_char,Exp3_12: exp_list_char] :
( ( tryCatch_list_char @ Exp1_118 @ List_31 @ A_79 @ Exp2_118 )
!= ( cond_list_char @ Exp1_117 @ Exp2_117 @ Exp3_12 ) ) ).
thf(fact_400_exp_Osimps_I169_J,axiom,
! [Exp1_116: exp_list_char,List_30: list_char,A_78: list_char,Exp2_116: exp_list_char,Exp_114: exp_list_char,List1_50: list_char,List2_50: list_char] :
( ( tryCatch_list_char @ Exp1_116 @ List_30 @ A_78 @ Exp2_116 )
!= ( fAcc_list_char @ Exp_114 @ List1_50 @ List2_50 ) ) ).
thf(fact_401_exp_Osimps_I115_J,axiom,
! [Exp1_115: exp_list_char,List_29: list_char,A_77: list_char,Exp2_115: exp_list_char,Exp1_114: exp_list_char,Bop_13: bop,Exp2_114: exp_list_char] :
( ( tryCatch_list_char @ Exp1_115 @ List_29 @ A_77 @ Exp2_115 )
!= ( binOp_list_char @ Exp1_114 @ Bop_13 @ Exp2_114 ) ) ).
thf(fact_402_red__reds_OBinOpRed2,axiom,
! [V_1_1: val,Bop: bop,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( red @ P ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ ( val_list_char @ V_1_1 ) @ Bop @ E_1 ) @ S_1 ) @ ( produc235638504on_val @ ( binOp_list_char @ ( val_list_char @ V_1_1 ) @ Bop @ E ) @ S ) ) @ ( red @ P ) ) ) ).
thf(fact_403_red__reds_OListRed2,axiom,
! [V_1: val,Es_1: list_exp_list_char,S_1: produc2090907612on_val,Es: list_exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ Es_1 @ S_1 ) @ ( produc1302104557on_val @ Es @ S ) ) @ ( reds @ P ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ ( cons_exp_list_char @ ( val_list_char @ V_1 ) @ Es_1 ) @ S_1 ) @ ( produc1302104557on_val @ ( cons_exp_list_char @ ( val_list_char @ V_1 ) @ Es ) @ S ) ) @ ( reds @ P ) ) ) ).
thf(fact_404_TryRedsVal,axiom,
! [C: list_char,V: list_char,E_2_1: exp_list_char,E_1: exp_list_char,S_1: produc2090907612on_val,V_1: val,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ V_1 ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ E_1 @ C @ V @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ V_1 ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_405_BinOp2Reds,axiom,
! [V_1: val,Bop: bop,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ ( val_list_char @ V_1 ) @ Bop @ E_1 ) @ S_1 ) @ ( produc235638504on_val @ ( binOp_list_char @ ( val_list_char @ V_1 ) @ Bop @ E ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_406_TryReds,axiom,
! [C: list_char,V: list_char,E_2_1: exp_list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ E_1 @ C @ V @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( tryCatch_list_char @ E @ C @ V @ E_2_1 ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_407_FAccReds,axiom,
! [F: list_char,D: list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ E_1 @ F @ D ) @ S_1 ) @ ( produc235638504on_val @ ( fAcc_list_char @ E @ F @ D ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_408_CondReds,axiom,
! [E_1_1: exp_list_char,E_2_1: exp_list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ E_1 @ E_1_1 @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( cond_list_char @ E @ E_1_1 @ E_2_1 ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_409_CastReds,axiom,
! [C: list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ C @ E_1 ) @ S_1 ) @ ( produc235638504on_val @ ( cast_list_char @ C @ E ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_410_BinOp1Reds,axiom,
! [Bop: bop,E_2_1: exp_list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ E_1 @ Bop @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( binOp_list_char @ E @ Bop @ E_2_1 ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_411_CallRedsObj,axiom,
! [M: list_char,Es_1: list_exp_list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ E_1 @ M @ Es_1 ) @ S_1 ) @ ( produc235638504on_val @ ( call_list_char @ E @ M @ Es_1 ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_412_rtrancl_Ortrancl__refl,axiom,
! [A_76: produc809539159t_char,R_12: produc1534059751t_char > $o] : ( member1999287380t_char @ ( produc1897818327t_char @ A_76 @ A_76 ) @ ( transi198989188t_char @ R_12 ) ) ).
thf(fact_413_rtrancl_Ortrancl__refl,axiom,
! [A_76: produc1278157519t_char,R_12: produc1350825965t_char > $o] : ( member794220506t_char @ ( produc2080520419t_char @ A_76 @ A_76 ) @ ( transi1095029602t_char @ R_12 ) ) ).
thf(fact_414_rtrancl_Ortrancl__refl,axiom,
! [A_76: produc2088785539on_val,R_12: produc1368416213on_val > $o] : ( member1235075778on_val @ ( produc1773146955on_val @ A_76 @ A_76 ) @ ( transi1669211542on_val @ R_12 ) ) ).
thf(fact_415_rtrancl_Ortrancl__refl,axiom,
! [A_76: product_prod_val_val,R_12: produc800118557al_val > $o] : ( member837208074al_val @ ( produc1244920211al_val @ A_76 @ A_76 ) @ ( transi1423755450al_val @ R_12 ) ) ).
thf(fact_416_rtrancl_Ortrancl__refl,axiom,
! [A_76: produc1645268488al_val,R_12: produc630464863al_val > $o] : ( member1732271180al_val @ ( produc1924279125al_val @ A_76 @ A_76 ) @ ( transi1906258203al_val @ R_12 ) ) ).
thf(fact_417_rtrancl_Ortrancl__refl,axiom,
! [A_76: produc662261637t_char,R_12: produc1826280281t_char > $o] : ( member1161907014t_char @ ( produc1299387215t_char @ A_76 @ A_76 ) @ ( transi1789604888t_char @ R_12 ) ) ).
thf(fact_418_rtrancl_Ortrancl__refl,axiom,
! [A_76: produc220283002t_char,R_12: produc1406897475t_char > $o] : ( member125098544t_char @ ( produc57279289t_char @ A_76 @ A_76 ) @ ( transi1257872013t_char @ R_12 ) ) ).
thf(fact_419_rtrancl_Ortrancl__refl,axiom,
! [A_76: produc1285161482t_char,R_12: produc349695911t_char > $o] : ( member1420286996t_char @ ( produc24551831t_char @ A_76 @ A_76 ) @ ( transi122195895t_char @ R_12 ) ) ).
thf(fact_420_rtrancl_Ortrancl__refl,axiom,
! [A_76: produc618524391on_val,R_12: produc1250491293on_val > $o] : ( member1145216138on_val @ ( produc1347028499on_val @ A_76 @ A_76 ) @ ( transi1457397498on_val @ R_12 ) ) ).
thf(fact_421_rtrancl_Ortrancl__refl,axiom,
! [A_76: produc2090907612on_val,R_12: produc1581780743on_val > $o] : ( member565037556on_val @ ( produc259392253on_val @ A_76 @ A_76 ) @ ( transi466770671on_val @ R_12 ) ) ).
thf(fact_422_rtrancl_Ortrancl__refl,axiom,
! [A_76: produc1746408499on_val,R_12: produc652964533on_val > $o] : ( member1714424482on_val @ ( produc345758123on_val @ A_76 @ A_76 ) @ ( transi130214086on_val @ R_12 ) ) ).
thf(fact_423_rtrancl_Ortrancl__refl,axiom,
! [A_76: val,R_12: product_prod_val_val > $o] : ( member649088532al_val @ ( product_Pair_val_val @ A_76 @ A_76 ) @ ( transi935034983cl_val @ R_12 ) ) ).
thf(fact_424_rtrancl_Ortrancl__refl,axiom,
! [A_76: produc1282892786on_val,R_12: produc1746408499on_val > $o] : ( member1913460000on_val @ ( produc833389609on_val @ A_76 @ A_76 ) @ ( transi2118771717on_val @ R_12 ) ) ).
thf(fact_425_rtrancl_Ortrancl__refl,axiom,
! [A_76: produc1180562163on_val,R_12: produc618524391on_val > $o] : ( member2042188884on_val @ ( produc747700183on_val @ A_76 @ A_76 ) @ ( transi808828192on_val @ R_12 ) ) ).
thf(fact_426_rtrancl_Ortrancl__refl,axiom,
! [A_76: list_char,R_12: produc1278157519t_char > $o] : ( member1251428284t_char @ ( produc5062597t_char @ A_76 @ A_76 ) @ ( transi1395422419t_char @ R_12 ) ) ).
thf(fact_427_r__into__rtrancl,axiom,
! [P_5: product_prod_val_val,R_11: product_prod_val_val > $o] :
( ( member649088532al_val @ P_5 @ R_11 )
=> ( member649088532al_val @ P_5 @ ( transi935034983cl_val @ R_11 ) ) ) ).
thf(fact_428_r__into__rtrancl,axiom,
! [P_5: produc1534059751t_char,R_11: produc1534059751t_char > $o] :
( ( member1999287380t_char @ P_5 @ R_11 )
=> ( member1999287380t_char @ P_5 @ ( transi198989188t_char @ R_11 ) ) ) ).
thf(fact_429_r__into__rtrancl,axiom,
! [P_5: produc1350825965t_char,R_11: produc1350825965t_char > $o] :
( ( member794220506t_char @ P_5 @ R_11 )
=> ( member794220506t_char @ P_5 @ ( transi1095029602t_char @ R_11 ) ) ) ).
thf(fact_430_r__into__rtrancl,axiom,
! [P_5: produc1368416213on_val,R_11: produc1368416213on_val > $o] :
( ( member1235075778on_val @ P_5 @ R_11 )
=> ( member1235075778on_val @ P_5 @ ( transi1669211542on_val @ R_11 ) ) ) ).
thf(fact_431_r__into__rtrancl,axiom,
! [P_5: produc800118557al_val,R_11: produc800118557al_val > $o] :
( ( member837208074al_val @ P_5 @ R_11 )
=> ( member837208074al_val @ P_5 @ ( transi1423755450al_val @ R_11 ) ) ) ).
thf(fact_432_r__into__rtrancl,axiom,
! [P_5: produc630464863al_val,R_11: produc630464863al_val > $o] :
( ( member1732271180al_val @ P_5 @ R_11 )
=> ( member1732271180al_val @ P_5 @ ( transi1906258203al_val @ R_11 ) ) ) ).
thf(fact_433_r__into__rtrancl,axiom,
! [P_5: produc1826280281t_char,R_11: produc1826280281t_char > $o] :
( ( member1161907014t_char @ P_5 @ R_11 )
=> ( member1161907014t_char @ P_5 @ ( transi1789604888t_char @ R_11 ) ) ) ).
thf(fact_434_r__into__rtrancl,axiom,
! [P_5: produc1406897475t_char,R_11: produc1406897475t_char > $o] :
( ( member125098544t_char @ P_5 @ R_11 )
=> ( member125098544t_char @ P_5 @ ( transi1257872013t_char @ R_11 ) ) ) ).
thf(fact_435_r__into__rtrancl,axiom,
! [P_5: produc349695911t_char,R_11: produc349695911t_char > $o] :
( ( member1420286996t_char @ P_5 @ R_11 )
=> ( member1420286996t_char @ P_5 @ ( transi122195895t_char @ R_11 ) ) ) ).
thf(fact_436_r__into__rtrancl,axiom,
! [P_5: produc1250491293on_val,R_11: produc1250491293on_val > $o] :
( ( member1145216138on_val @ P_5 @ R_11 )
=> ( member1145216138on_val @ P_5 @ ( transi1457397498on_val @ R_11 ) ) ) ).
thf(fact_437_r__into__rtrancl,axiom,
! [P_5: produc1581780743on_val,R_11: produc1581780743on_val > $o] :
( ( member565037556on_val @ P_5 @ R_11 )
=> ( member565037556on_val @ P_5 @ ( transi466770671on_val @ R_11 ) ) ) ).
thf(fact_438_r__into__rtrancl,axiom,
! [P_5: produc652964533on_val,R_11: produc652964533on_val > $o] :
( ( member1714424482on_val @ P_5 @ R_11 )
=> ( member1714424482on_val @ P_5 @ ( transi130214086on_val @ R_11 ) ) ) ).
thf(fact_439_r__into__rtrancl,axiom,
! [P_5: produc1746408499on_val,R_11: produc1746408499on_val > $o] :
( ( member1913460000on_val @ P_5 @ R_11 )
=> ( member1913460000on_val @ P_5 @ ( transi2118771717on_val @ R_11 ) ) ) ).
thf(fact_440_r__into__rtrancl,axiom,
! [P_5: produc618524391on_val,R_11: produc618524391on_val > $o] :
( ( member2042188884on_val @ P_5 @ R_11 )
=> ( member2042188884on_val @ P_5 @ ( transi808828192on_val @ R_11 ) ) ) ).
thf(fact_441_r__into__rtrancl,axiom,
! [P_5: produc1278157519t_char,R_11: produc1278157519t_char > $o] :
( ( member1251428284t_char @ P_5 @ R_11 )
=> ( member1251428284t_char @ P_5 @ ( transi1395422419t_char @ R_11 ) ) ) ).
thf(fact_442_rtrancl__trans,axiom,
! [C_6: produc809539159t_char,A_75: produc809539159t_char,B_7: produc809539159t_char,R_10: produc1534059751t_char > $o] :
( ( member1999287380t_char @ ( produc1897818327t_char @ A_75 @ B_7 ) @ ( transi198989188t_char @ R_10 ) )
=> ( ( member1999287380t_char @ ( produc1897818327t_char @ B_7 @ C_6 ) @ ( transi198989188t_char @ R_10 ) )
=> ( member1999287380t_char @ ( produc1897818327t_char @ A_75 @ C_6 ) @ ( transi198989188t_char @ R_10 ) ) ) ) ).
thf(fact_443_rtrancl__trans,axiom,
! [C_6: produc1278157519t_char,A_75: produc1278157519t_char,B_7: produc1278157519t_char,R_10: produc1350825965t_char > $o] :
( ( member794220506t_char @ ( produc2080520419t_char @ A_75 @ B_7 ) @ ( transi1095029602t_char @ R_10 ) )
=> ( ( member794220506t_char @ ( produc2080520419t_char @ B_7 @ C_6 ) @ ( transi1095029602t_char @ R_10 ) )
=> ( member794220506t_char @ ( produc2080520419t_char @ A_75 @ C_6 ) @ ( transi1095029602t_char @ R_10 ) ) ) ) ).
thf(fact_444_rtrancl__trans,axiom,
! [C_6: produc2088785539on_val,A_75: produc2088785539on_val,B_7: produc2088785539on_val,R_10: produc1368416213on_val > $o] :
( ( member1235075778on_val @ ( produc1773146955on_val @ A_75 @ B_7 ) @ ( transi1669211542on_val @ R_10 ) )
=> ( ( member1235075778on_val @ ( produc1773146955on_val @ B_7 @ C_6 ) @ ( transi1669211542on_val @ R_10 ) )
=> ( member1235075778on_val @ ( produc1773146955on_val @ A_75 @ C_6 ) @ ( transi1669211542on_val @ R_10 ) ) ) ) ).
thf(fact_445_rtrancl__trans,axiom,
! [C_6: product_prod_val_val,A_75: product_prod_val_val,B_7: product_prod_val_val,R_10: produc800118557al_val > $o] :
( ( member837208074al_val @ ( produc1244920211al_val @ A_75 @ B_7 ) @ ( transi1423755450al_val @ R_10 ) )
=> ( ( member837208074al_val @ ( produc1244920211al_val @ B_7 @ C_6 ) @ ( transi1423755450al_val @ R_10 ) )
=> ( member837208074al_val @ ( produc1244920211al_val @ A_75 @ C_6 ) @ ( transi1423755450al_val @ R_10 ) ) ) ) ).
thf(fact_446_rtrancl__trans,axiom,
! [C_6: produc1645268488al_val,A_75: produc1645268488al_val,B_7: produc1645268488al_val,R_10: produc630464863al_val > $o] :
( ( member1732271180al_val @ ( produc1924279125al_val @ A_75 @ B_7 ) @ ( transi1906258203al_val @ R_10 ) )
=> ( ( member1732271180al_val @ ( produc1924279125al_val @ B_7 @ C_6 ) @ ( transi1906258203al_val @ R_10 ) )
=> ( member1732271180al_val @ ( produc1924279125al_val @ A_75 @ C_6 ) @ ( transi1906258203al_val @ R_10 ) ) ) ) ).
thf(fact_447_rtrancl__trans,axiom,
! [C_6: produc662261637t_char,A_75: produc662261637t_char,B_7: produc662261637t_char,R_10: produc1826280281t_char > $o] :
( ( member1161907014t_char @ ( produc1299387215t_char @ A_75 @ B_7 ) @ ( transi1789604888t_char @ R_10 ) )
=> ( ( member1161907014t_char @ ( produc1299387215t_char @ B_7 @ C_6 ) @ ( transi1789604888t_char @ R_10 ) )
=> ( member1161907014t_char @ ( produc1299387215t_char @ A_75 @ C_6 ) @ ( transi1789604888t_char @ R_10 ) ) ) ) ).
thf(fact_448_rtrancl__trans,axiom,
! [C_6: produc220283002t_char,A_75: produc220283002t_char,B_7: produc220283002t_char,R_10: produc1406897475t_char > $o] :
( ( member125098544t_char @ ( produc57279289t_char @ A_75 @ B_7 ) @ ( transi1257872013t_char @ R_10 ) )
=> ( ( member125098544t_char @ ( produc57279289t_char @ B_7 @ C_6 ) @ ( transi1257872013t_char @ R_10 ) )
=> ( member125098544t_char @ ( produc57279289t_char @ A_75 @ C_6 ) @ ( transi1257872013t_char @ R_10 ) ) ) ) ).
thf(fact_449_rtrancl__trans,axiom,
! [C_6: produc1285161482t_char,A_75: produc1285161482t_char,B_7: produc1285161482t_char,R_10: produc349695911t_char > $o] :
( ( member1420286996t_char @ ( produc24551831t_char @ A_75 @ B_7 ) @ ( transi122195895t_char @ R_10 ) )
=> ( ( member1420286996t_char @ ( produc24551831t_char @ B_7 @ C_6 ) @ ( transi122195895t_char @ R_10 ) )
=> ( member1420286996t_char @ ( produc24551831t_char @ A_75 @ C_6 ) @ ( transi122195895t_char @ R_10 ) ) ) ) ).
thf(fact_450_rtrancl__trans,axiom,
! [C_6: produc618524391on_val,A_75: produc618524391on_val,B_7: produc618524391on_val,R_10: produc1250491293on_val > $o] :
( ( member1145216138on_val @ ( produc1347028499on_val @ A_75 @ B_7 ) @ ( transi1457397498on_val @ R_10 ) )
=> ( ( member1145216138on_val @ ( produc1347028499on_val @ B_7 @ C_6 ) @ ( transi1457397498on_val @ R_10 ) )
=> ( member1145216138on_val @ ( produc1347028499on_val @ A_75 @ C_6 ) @ ( transi1457397498on_val @ R_10 ) ) ) ) ).
thf(fact_451_rtrancl__trans,axiom,
! [C_6: produc2090907612on_val,A_75: produc2090907612on_val,B_7: produc2090907612on_val,R_10: produc1581780743on_val > $o] :
( ( member565037556on_val @ ( produc259392253on_val @ A_75 @ B_7 ) @ ( transi466770671on_val @ R_10 ) )
=> ( ( member565037556on_val @ ( produc259392253on_val @ B_7 @ C_6 ) @ ( transi466770671on_val @ R_10 ) )
=> ( member565037556on_val @ ( produc259392253on_val @ A_75 @ C_6 ) @ ( transi466770671on_val @ R_10 ) ) ) ) ).
thf(fact_452_rtrancl__trans,axiom,
! [C_6: produc1746408499on_val,A_75: produc1746408499on_val,B_7: produc1746408499on_val,R_10: produc652964533on_val > $o] :
( ( member1714424482on_val @ ( produc345758123on_val @ A_75 @ B_7 ) @ ( transi130214086on_val @ R_10 ) )
=> ( ( member1714424482on_val @ ( produc345758123on_val @ B_7 @ C_6 ) @ ( transi130214086on_val @ R_10 ) )
=> ( member1714424482on_val @ ( produc345758123on_val @ A_75 @ C_6 ) @ ( transi130214086on_val @ R_10 ) ) ) ) ).
thf(fact_453_rtrancl__trans,axiom,
! [C_6: val,A_75: val,B_7: val,R_10: product_prod_val_val > $o] :
( ( member649088532al_val @ ( product_Pair_val_val @ A_75 @ B_7 ) @ ( transi935034983cl_val @ R_10 ) )
=> ( ( member649088532al_val @ ( product_Pair_val_val @ B_7 @ C_6 ) @ ( transi935034983cl_val @ R_10 ) )
=> ( member649088532al_val @ ( product_Pair_val_val @ A_75 @ C_6 ) @ ( transi935034983cl_val @ R_10 ) ) ) ) ).
thf(fact_454_rtrancl__trans,axiom,
! [C_6: produc1282892786on_val,A_75: produc1282892786on_val,B_7: produc1282892786on_val,R_10: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ A_75 @ B_7 ) @ ( transi2118771717on_val @ R_10 ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ B_7 @ C_6 ) @ ( transi2118771717on_val @ R_10 ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ A_75 @ C_6 ) @ ( transi2118771717on_val @ R_10 ) ) ) ) ).
thf(fact_455_rtrancl__trans,axiom,
! [C_6: produc1180562163on_val,A_75: produc1180562163on_val,B_7: produc1180562163on_val,R_10: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ A_75 @ B_7 ) @ ( transi808828192on_val @ R_10 ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ B_7 @ C_6 ) @ ( transi808828192on_val @ R_10 ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ A_75 @ C_6 ) @ ( transi808828192on_val @ R_10 ) ) ) ) ).
thf(fact_456_rtrancl__trans,axiom,
! [C_6: list_char,A_75: list_char,B_7: list_char,R_10: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ A_75 @ B_7 ) @ ( transi1395422419t_char @ R_10 ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ B_7 @ C_6 ) @ ( transi1395422419t_char @ R_10 ) )
=> ( member1251428284t_char @ ( produc5062597t_char @ A_75 @ C_6 ) @ ( transi1395422419t_char @ R_10 ) ) ) ) ).
thf(fact_457_rtrancl__idemp,axiom,
! [R_9: product_prod_val_val > $o] :
( ( transi935034983cl_val @ ( transi935034983cl_val @ R_9 ) )
= ( transi935034983cl_val @ R_9 ) ) ).
thf(fact_458_rtrancl__idemp,axiom,
! [R_9: produc1534059751t_char > $o] :
( ( transi198989188t_char @ ( transi198989188t_char @ R_9 ) )
= ( transi198989188t_char @ R_9 ) ) ).
thf(fact_459_rtrancl__idemp,axiom,
! [R_9: produc1350825965t_char > $o] :
( ( transi1095029602t_char @ ( transi1095029602t_char @ R_9 ) )
= ( transi1095029602t_char @ R_9 ) ) ).
thf(fact_460_rtrancl__idemp,axiom,
! [R_9: produc1368416213on_val > $o] :
( ( transi1669211542on_val @ ( transi1669211542on_val @ R_9 ) )
= ( transi1669211542on_val @ R_9 ) ) ).
thf(fact_461_rtrancl__idemp,axiom,
! [R_9: produc800118557al_val > $o] :
( ( transi1423755450al_val @ ( transi1423755450al_val @ R_9 ) )
= ( transi1423755450al_val @ R_9 ) ) ).
thf(fact_462_rtrancl__idemp,axiom,
! [R_9: produc630464863al_val > $o] :
( ( transi1906258203al_val @ ( transi1906258203al_val @ R_9 ) )
= ( transi1906258203al_val @ R_9 ) ) ).
thf(fact_463_rtrancl__idemp,axiom,
! [R_9: produc1826280281t_char > $o] :
( ( transi1789604888t_char @ ( transi1789604888t_char @ R_9 ) )
= ( transi1789604888t_char @ R_9 ) ) ).
thf(fact_464_rtrancl__idemp,axiom,
! [R_9: produc1406897475t_char > $o] :
( ( transi1257872013t_char @ ( transi1257872013t_char @ R_9 ) )
= ( transi1257872013t_char @ R_9 ) ) ).
thf(fact_465_rtrancl__idemp,axiom,
! [R_9: produc349695911t_char > $o] :
( ( transi122195895t_char @ ( transi122195895t_char @ R_9 ) )
= ( transi122195895t_char @ R_9 ) ) ).
thf(fact_466_rtrancl__idemp,axiom,
! [R_9: produc1250491293on_val > $o] :
( ( transi1457397498on_val @ ( transi1457397498on_val @ R_9 ) )
= ( transi1457397498on_val @ R_9 ) ) ).
thf(fact_467_rtrancl__idemp,axiom,
! [R_9: produc1581780743on_val > $o] :
( ( transi466770671on_val @ ( transi466770671on_val @ R_9 ) )
= ( transi466770671on_val @ R_9 ) ) ).
thf(fact_468_rtrancl__idemp,axiom,
! [R_9: produc652964533on_val > $o] :
( ( transi130214086on_val @ ( transi130214086on_val @ R_9 ) )
= ( transi130214086on_val @ R_9 ) ) ).
thf(fact_469_rtrancl__idemp,axiom,
! [R_9: produc1746408499on_val > $o] :
( ( transi2118771717on_val @ ( transi2118771717on_val @ R_9 ) )
= ( transi2118771717on_val @ R_9 ) ) ).
thf(fact_470_rtrancl__idemp,axiom,
! [R_9: produc618524391on_val > $o] :
( ( transi808828192on_val @ ( transi808828192on_val @ R_9 ) )
= ( transi808828192on_val @ R_9 ) ) ).
thf(fact_471_rtrancl__idemp,axiom,
! [R_9: produc1278157519t_char > $o] :
( ( transi1395422419t_char @ ( transi1395422419t_char @ R_9 ) )
= ( transi1395422419t_char @ R_9 ) ) ).
thf(fact_472_ListReds2,axiom,
! [V_1: val,Es_1: list_exp_list_char,S_1: produc2090907612on_val,Es: list_exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ Es_1 @ S_1 ) @ ( produc1302104557on_val @ Es @ S ) ) @ ( transi808828192on_val @ ( reds @ P ) ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ ( cons_exp_list_char @ ( val_list_char @ V_1 ) @ Es_1 ) @ S_1 ) @ ( produc1302104557on_val @ ( cons_exp_list_char @ ( val_list_char @ V_1 ) @ Es ) @ S ) ) @ ( transi808828192on_val @ ( reds @ P ) ) ) ) ).
thf(fact_473_ListReds1,axiom,
! [Es_1: list_exp_list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ ( cons_exp_list_char @ E_1 @ Es_1 ) @ S_1 ) @ ( produc1302104557on_val @ ( cons_exp_list_char @ E @ Es_1 ) @ S ) ) @ ( transi808828192on_val @ ( reds @ P ) ) ) ) ).
thf(fact_474_ListRedsVal,axiom,
! [Es_1: list_exp_list_char,Es: list_exp_list_char,S_2_1: produc2090907612on_val,E_1: exp_list_char,S_0: produc2090907612on_val,V_1: val,S_1_1: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_0 ) @ ( produc235638504on_val @ ( val_list_char @ V_1 ) @ S_1_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ Es_1 @ S_1_1 ) @ ( produc1302104557on_val @ Es @ S_2_1 ) ) @ ( transi808828192on_val @ ( reds @ P ) ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ ( cons_exp_list_char @ E_1 @ Es_1 ) @ S_0 ) @ ( produc1302104557on_val @ ( cons_exp_list_char @ ( val_list_char @ V_1 ) @ Es ) @ S_2_1 ) ) @ ( transi808828192on_val @ ( reds @ P ) ) ) ) ) ).
thf(fact_475_CallRedsParams,axiom,
! [V_1: val,M: list_char,Es_1: list_exp_list_char,S_1: produc2090907612on_val,Es: list_exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ Es_1 @ S_1 ) @ ( produc1302104557on_val @ Es @ S ) ) @ ( transi808828192on_val @ ( reds @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ V_1 ) @ M @ Es_1 ) @ S_1 ) @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ V_1 ) @ M @ Es ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_476_converse__rtrancl__into__rtrancl,axiom,
! [C_5: produc809539159t_char,A_74: produc809539159t_char,B_6: produc809539159t_char,R_8: produc1534059751t_char > $o] :
( ( member1999287380t_char @ ( produc1897818327t_char @ A_74 @ B_6 ) @ R_8 )
=> ( ( member1999287380t_char @ ( produc1897818327t_char @ B_6 @ C_5 ) @ ( transi198989188t_char @ R_8 ) )
=> ( member1999287380t_char @ ( produc1897818327t_char @ A_74 @ C_5 ) @ ( transi198989188t_char @ R_8 ) ) ) ) ).
thf(fact_477_converse__rtrancl__into__rtrancl,axiom,
! [C_5: produc1278157519t_char,A_74: produc1278157519t_char,B_6: produc1278157519t_char,R_8: produc1350825965t_char > $o] :
( ( member794220506t_char @ ( produc2080520419t_char @ A_74 @ B_6 ) @ R_8 )
=> ( ( member794220506t_char @ ( produc2080520419t_char @ B_6 @ C_5 ) @ ( transi1095029602t_char @ R_8 ) )
=> ( member794220506t_char @ ( produc2080520419t_char @ A_74 @ C_5 ) @ ( transi1095029602t_char @ R_8 ) ) ) ) ).
thf(fact_478_converse__rtrancl__into__rtrancl,axiom,
! [C_5: produc2088785539on_val,A_74: produc2088785539on_val,B_6: produc2088785539on_val,R_8: produc1368416213on_val > $o] :
( ( member1235075778on_val @ ( produc1773146955on_val @ A_74 @ B_6 ) @ R_8 )
=> ( ( member1235075778on_val @ ( produc1773146955on_val @ B_6 @ C_5 ) @ ( transi1669211542on_val @ R_8 ) )
=> ( member1235075778on_val @ ( produc1773146955on_val @ A_74 @ C_5 ) @ ( transi1669211542on_val @ R_8 ) ) ) ) ).
thf(fact_479_converse__rtrancl__into__rtrancl,axiom,
! [C_5: product_prod_val_val,A_74: product_prod_val_val,B_6: product_prod_val_val,R_8: produc800118557al_val > $o] :
( ( member837208074al_val @ ( produc1244920211al_val @ A_74 @ B_6 ) @ R_8 )
=> ( ( member837208074al_val @ ( produc1244920211al_val @ B_6 @ C_5 ) @ ( transi1423755450al_val @ R_8 ) )
=> ( member837208074al_val @ ( produc1244920211al_val @ A_74 @ C_5 ) @ ( transi1423755450al_val @ R_8 ) ) ) ) ).
thf(fact_480_converse__rtrancl__into__rtrancl,axiom,
! [C_5: produc1645268488al_val,A_74: produc1645268488al_val,B_6: produc1645268488al_val,R_8: produc630464863al_val > $o] :
( ( member1732271180al_val @ ( produc1924279125al_val @ A_74 @ B_6 ) @ R_8 )
=> ( ( member1732271180al_val @ ( produc1924279125al_val @ B_6 @ C_5 ) @ ( transi1906258203al_val @ R_8 ) )
=> ( member1732271180al_val @ ( produc1924279125al_val @ A_74 @ C_5 ) @ ( transi1906258203al_val @ R_8 ) ) ) ) ).
thf(fact_481_converse__rtrancl__into__rtrancl,axiom,
! [C_5: produc662261637t_char,A_74: produc662261637t_char,B_6: produc662261637t_char,R_8: produc1826280281t_char > $o] :
( ( member1161907014t_char @ ( produc1299387215t_char @ A_74 @ B_6 ) @ R_8 )
=> ( ( member1161907014t_char @ ( produc1299387215t_char @ B_6 @ C_5 ) @ ( transi1789604888t_char @ R_8 ) )
=> ( member1161907014t_char @ ( produc1299387215t_char @ A_74 @ C_5 ) @ ( transi1789604888t_char @ R_8 ) ) ) ) ).
thf(fact_482_converse__rtrancl__into__rtrancl,axiom,
! [C_5: produc220283002t_char,A_74: produc220283002t_char,B_6: produc220283002t_char,R_8: produc1406897475t_char > $o] :
( ( member125098544t_char @ ( produc57279289t_char @ A_74 @ B_6 ) @ R_8 )
=> ( ( member125098544t_char @ ( produc57279289t_char @ B_6 @ C_5 ) @ ( transi1257872013t_char @ R_8 ) )
=> ( member125098544t_char @ ( produc57279289t_char @ A_74 @ C_5 ) @ ( transi1257872013t_char @ R_8 ) ) ) ) ).
thf(fact_483_converse__rtrancl__into__rtrancl,axiom,
! [C_5: produc1285161482t_char,A_74: produc1285161482t_char,B_6: produc1285161482t_char,R_8: produc349695911t_char > $o] :
( ( member1420286996t_char @ ( produc24551831t_char @ A_74 @ B_6 ) @ R_8 )
=> ( ( member1420286996t_char @ ( produc24551831t_char @ B_6 @ C_5 ) @ ( transi122195895t_char @ R_8 ) )
=> ( member1420286996t_char @ ( produc24551831t_char @ A_74 @ C_5 ) @ ( transi122195895t_char @ R_8 ) ) ) ) ).
thf(fact_484_converse__rtrancl__into__rtrancl,axiom,
! [C_5: produc618524391on_val,A_74: produc618524391on_val,B_6: produc618524391on_val,R_8: produc1250491293on_val > $o] :
( ( member1145216138on_val @ ( produc1347028499on_val @ A_74 @ B_6 ) @ R_8 )
=> ( ( member1145216138on_val @ ( produc1347028499on_val @ B_6 @ C_5 ) @ ( transi1457397498on_val @ R_8 ) )
=> ( member1145216138on_val @ ( produc1347028499on_val @ A_74 @ C_5 ) @ ( transi1457397498on_val @ R_8 ) ) ) ) ).
thf(fact_485_converse__rtrancl__into__rtrancl,axiom,
! [C_5: produc2090907612on_val,A_74: produc2090907612on_val,B_6: produc2090907612on_val,R_8: produc1581780743on_val > $o] :
( ( member565037556on_val @ ( produc259392253on_val @ A_74 @ B_6 ) @ R_8 )
=> ( ( member565037556on_val @ ( produc259392253on_val @ B_6 @ C_5 ) @ ( transi466770671on_val @ R_8 ) )
=> ( member565037556on_val @ ( produc259392253on_val @ A_74 @ C_5 ) @ ( transi466770671on_val @ R_8 ) ) ) ) ).
thf(fact_486_converse__rtrancl__into__rtrancl,axiom,
! [C_5: produc1746408499on_val,A_74: produc1746408499on_val,B_6: produc1746408499on_val,R_8: produc652964533on_val > $o] :
( ( member1714424482on_val @ ( produc345758123on_val @ A_74 @ B_6 ) @ R_8 )
=> ( ( member1714424482on_val @ ( produc345758123on_val @ B_6 @ C_5 ) @ ( transi130214086on_val @ R_8 ) )
=> ( member1714424482on_val @ ( produc345758123on_val @ A_74 @ C_5 ) @ ( transi130214086on_val @ R_8 ) ) ) ) ).
thf(fact_487_converse__rtrancl__into__rtrancl,axiom,
! [C_5: val,A_74: val,B_6: val,R_8: product_prod_val_val > $o] :
( ( member649088532al_val @ ( product_Pair_val_val @ A_74 @ B_6 ) @ R_8 )
=> ( ( member649088532al_val @ ( product_Pair_val_val @ B_6 @ C_5 ) @ ( transi935034983cl_val @ R_8 ) )
=> ( member649088532al_val @ ( product_Pair_val_val @ A_74 @ C_5 ) @ ( transi935034983cl_val @ R_8 ) ) ) ) ).
thf(fact_488_converse__rtrancl__into__rtrancl,axiom,
! [C_5: produc1282892786on_val,A_74: produc1282892786on_val,B_6: produc1282892786on_val,R_8: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ A_74 @ B_6 ) @ R_8 )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ B_6 @ C_5 ) @ ( transi2118771717on_val @ R_8 ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ A_74 @ C_5 ) @ ( transi2118771717on_val @ R_8 ) ) ) ) ).
thf(fact_489_converse__rtrancl__into__rtrancl,axiom,
! [C_5: produc1180562163on_val,A_74: produc1180562163on_val,B_6: produc1180562163on_val,R_8: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ A_74 @ B_6 ) @ R_8 )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ B_6 @ C_5 ) @ ( transi808828192on_val @ R_8 ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ A_74 @ C_5 ) @ ( transi808828192on_val @ R_8 ) ) ) ) ).
thf(fact_490_converse__rtrancl__into__rtrancl,axiom,
! [C_5: list_char,A_74: list_char,B_6: list_char,R_8: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ A_74 @ B_6 ) @ R_8 )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ B_6 @ C_5 ) @ ( transi1395422419t_char @ R_8 ) )
=> ( member1251428284t_char @ ( produc5062597t_char @ A_74 @ C_5 ) @ ( transi1395422419t_char @ R_8 ) ) ) ) ).
thf(fact_491_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_4: produc809539159t_char,A_73: produc809539159t_char,B_5: produc809539159t_char,R_7: produc1534059751t_char > $o] :
( ( member1999287380t_char @ ( produc1897818327t_char @ A_73 @ B_5 ) @ ( transi198989188t_char @ R_7 ) )
=> ( ( member1999287380t_char @ ( produc1897818327t_char @ B_5 @ C_4 ) @ R_7 )
=> ( member1999287380t_char @ ( produc1897818327t_char @ A_73 @ C_4 ) @ ( transi198989188t_char @ R_7 ) ) ) ) ).
thf(fact_492_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_4: produc1278157519t_char,A_73: produc1278157519t_char,B_5: produc1278157519t_char,R_7: produc1350825965t_char > $o] :
( ( member794220506t_char @ ( produc2080520419t_char @ A_73 @ B_5 ) @ ( transi1095029602t_char @ R_7 ) )
=> ( ( member794220506t_char @ ( produc2080520419t_char @ B_5 @ C_4 ) @ R_7 )
=> ( member794220506t_char @ ( produc2080520419t_char @ A_73 @ C_4 ) @ ( transi1095029602t_char @ R_7 ) ) ) ) ).
thf(fact_493_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_4: produc2088785539on_val,A_73: produc2088785539on_val,B_5: produc2088785539on_val,R_7: produc1368416213on_val > $o] :
( ( member1235075778on_val @ ( produc1773146955on_val @ A_73 @ B_5 ) @ ( transi1669211542on_val @ R_7 ) )
=> ( ( member1235075778on_val @ ( produc1773146955on_val @ B_5 @ C_4 ) @ R_7 )
=> ( member1235075778on_val @ ( produc1773146955on_val @ A_73 @ C_4 ) @ ( transi1669211542on_val @ R_7 ) ) ) ) ).
thf(fact_494_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_4: product_prod_val_val,A_73: product_prod_val_val,B_5: product_prod_val_val,R_7: produc800118557al_val > $o] :
( ( member837208074al_val @ ( produc1244920211al_val @ A_73 @ B_5 ) @ ( transi1423755450al_val @ R_7 ) )
=> ( ( member837208074al_val @ ( produc1244920211al_val @ B_5 @ C_4 ) @ R_7 )
=> ( member837208074al_val @ ( produc1244920211al_val @ A_73 @ C_4 ) @ ( transi1423755450al_val @ R_7 ) ) ) ) ).
thf(fact_495_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_4: produc1645268488al_val,A_73: produc1645268488al_val,B_5: produc1645268488al_val,R_7: produc630464863al_val > $o] :
( ( member1732271180al_val @ ( produc1924279125al_val @ A_73 @ B_5 ) @ ( transi1906258203al_val @ R_7 ) )
=> ( ( member1732271180al_val @ ( produc1924279125al_val @ B_5 @ C_4 ) @ R_7 )
=> ( member1732271180al_val @ ( produc1924279125al_val @ A_73 @ C_4 ) @ ( transi1906258203al_val @ R_7 ) ) ) ) ).
thf(fact_496_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_4: produc662261637t_char,A_73: produc662261637t_char,B_5: produc662261637t_char,R_7: produc1826280281t_char > $o] :
( ( member1161907014t_char @ ( produc1299387215t_char @ A_73 @ B_5 ) @ ( transi1789604888t_char @ R_7 ) )
=> ( ( member1161907014t_char @ ( produc1299387215t_char @ B_5 @ C_4 ) @ R_7 )
=> ( member1161907014t_char @ ( produc1299387215t_char @ A_73 @ C_4 ) @ ( transi1789604888t_char @ R_7 ) ) ) ) ).
thf(fact_497_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_4: produc220283002t_char,A_73: produc220283002t_char,B_5: produc220283002t_char,R_7: produc1406897475t_char > $o] :
( ( member125098544t_char @ ( produc57279289t_char @ A_73 @ B_5 ) @ ( transi1257872013t_char @ R_7 ) )
=> ( ( member125098544t_char @ ( produc57279289t_char @ B_5 @ C_4 ) @ R_7 )
=> ( member125098544t_char @ ( produc57279289t_char @ A_73 @ C_4 ) @ ( transi1257872013t_char @ R_7 ) ) ) ) ).
thf(fact_498_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_4: produc1285161482t_char,A_73: produc1285161482t_char,B_5: produc1285161482t_char,R_7: produc349695911t_char > $o] :
( ( member1420286996t_char @ ( produc24551831t_char @ A_73 @ B_5 ) @ ( transi122195895t_char @ R_7 ) )
=> ( ( member1420286996t_char @ ( produc24551831t_char @ B_5 @ C_4 ) @ R_7 )
=> ( member1420286996t_char @ ( produc24551831t_char @ A_73 @ C_4 ) @ ( transi122195895t_char @ R_7 ) ) ) ) ).
thf(fact_499_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_4: produc618524391on_val,A_73: produc618524391on_val,B_5: produc618524391on_val,R_7: produc1250491293on_val > $o] :
( ( member1145216138on_val @ ( produc1347028499on_val @ A_73 @ B_5 ) @ ( transi1457397498on_val @ R_7 ) )
=> ( ( member1145216138on_val @ ( produc1347028499on_val @ B_5 @ C_4 ) @ R_7 )
=> ( member1145216138on_val @ ( produc1347028499on_val @ A_73 @ C_4 ) @ ( transi1457397498on_val @ R_7 ) ) ) ) ).
thf(fact_500_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_4: produc2090907612on_val,A_73: produc2090907612on_val,B_5: produc2090907612on_val,R_7: produc1581780743on_val > $o] :
( ( member565037556on_val @ ( produc259392253on_val @ A_73 @ B_5 ) @ ( transi466770671on_val @ R_7 ) )
=> ( ( member565037556on_val @ ( produc259392253on_val @ B_5 @ C_4 ) @ R_7 )
=> ( member565037556on_val @ ( produc259392253on_val @ A_73 @ C_4 ) @ ( transi466770671on_val @ R_7 ) ) ) ) ).
thf(fact_501_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_4: produc1746408499on_val,A_73: produc1746408499on_val,B_5: produc1746408499on_val,R_7: produc652964533on_val > $o] :
( ( member1714424482on_val @ ( produc345758123on_val @ A_73 @ B_5 ) @ ( transi130214086on_val @ R_7 ) )
=> ( ( member1714424482on_val @ ( produc345758123on_val @ B_5 @ C_4 ) @ R_7 )
=> ( member1714424482on_val @ ( produc345758123on_val @ A_73 @ C_4 ) @ ( transi130214086on_val @ R_7 ) ) ) ) ).
thf(fact_502_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_4: val,A_73: val,B_5: val,R_7: product_prod_val_val > $o] :
( ( member649088532al_val @ ( product_Pair_val_val @ A_73 @ B_5 ) @ ( transi935034983cl_val @ R_7 ) )
=> ( ( member649088532al_val @ ( product_Pair_val_val @ B_5 @ C_4 ) @ R_7 )
=> ( member649088532al_val @ ( product_Pair_val_val @ A_73 @ C_4 ) @ ( transi935034983cl_val @ R_7 ) ) ) ) ).
thf(fact_503_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_4: produc1282892786on_val,A_73: produc1282892786on_val,B_5: produc1282892786on_val,R_7: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ A_73 @ B_5 ) @ ( transi2118771717on_val @ R_7 ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ B_5 @ C_4 ) @ R_7 )
=> ( member1913460000on_val @ ( produc833389609on_val @ A_73 @ C_4 ) @ ( transi2118771717on_val @ R_7 ) ) ) ) ).
thf(fact_504_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_4: produc1180562163on_val,A_73: produc1180562163on_val,B_5: produc1180562163on_val,R_7: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ A_73 @ B_5 ) @ ( transi808828192on_val @ R_7 ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ B_5 @ C_4 ) @ R_7 )
=> ( member2042188884on_val @ ( produc747700183on_val @ A_73 @ C_4 ) @ ( transi808828192on_val @ R_7 ) ) ) ) ).
thf(fact_505_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_4: list_char,A_73: list_char,B_5: list_char,R_7: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ A_73 @ B_5 ) @ ( transi1395422419t_char @ R_7 ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ B_5 @ C_4 ) @ R_7 )
=> ( member1251428284t_char @ ( produc5062597t_char @ A_73 @ C_4 ) @ ( transi1395422419t_char @ R_7 ) ) ) ) ).
thf(fact_506_rtrancl__induct2,axiom,
! [P_4: list_char > produc917948472har_ty > $o,Ax_1: list_char,Ay_1: produc917948472har_ty,Bx_1: list_char,By_1: produc917948472har_ty,R_6: produc463632231har_ty > $o] :
( ( member1664419796har_ty @ ( produc2038128087har_ty @ ( produc1002914035har_ty @ Ax_1 @ Ay_1 ) @ ( produc1002914035har_ty @ Bx_1 @ By_1 ) ) @ ( transi1158914604har_ty @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: list_char,B_4: produc917948472har_ty,Aa: list_char,Ba: produc917948472har_ty] :
( ( member1664419796har_ty @ ( produc2038128087har_ty @ ( produc1002914035har_ty @ Ax_1 @ Ay_1 ) @ ( produc1002914035har_ty @ A_2 @ B_4 ) ) @ ( transi1158914604har_ty @ R_6 ) )
=> ( ( member1664419796har_ty @ ( produc2038128087har_ty @ ( produc1002914035har_ty @ A_2 @ B_4 ) @ ( produc1002914035har_ty @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_507_rtrancl__induct2,axiom,
! [P_4: produc1278157519t_char > ty > $o,Ax_1: produc1278157519t_char,Ay_1: ty,Bx_1: produc1278157519t_char,By_1: ty,R_6: produc785809127har_ty > $o] :
( ( member1986596692har_ty @ ( produc63273559har_ty @ ( produc1265154397har_ty @ Ax_1 @ Ay_1 ) @ ( produc1265154397har_ty @ Bx_1 @ By_1 ) ) @ ( transi935089046har_ty @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: produc1278157519t_char,B_4: ty,Aa: produc1278157519t_char,Ba: ty] :
( ( member1986596692har_ty @ ( produc63273559har_ty @ ( produc1265154397har_ty @ Ax_1 @ Ay_1 ) @ ( produc1265154397har_ty @ A_2 @ B_4 ) ) @ ( transi935089046har_ty @ R_6 ) )
=> ( ( member1986596692har_ty @ ( produc63273559har_ty @ ( produc1265154397har_ty @ A_2 @ B_4 ) @ ( produc1265154397har_ty @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_508_rtrancl__induct2,axiom,
! [P_4: list_char > ty > $o,Ax_1: list_char,Ay_1: ty,Bx_1: list_char,By_1: ty,R_6: produc300386343har_ty > $o] :
( ( member119266708har_ty @ ( produc1414300567har_ty @ ( produc251930284har_ty @ Ax_1 @ Ay_1 ) @ ( produc251930284har_ty @ Bx_1 @ By_1 ) ) @ ( transi1325206117har_ty @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: list_char,B_4: ty,Aa: list_char,Ba: ty] :
( ( member119266708har_ty @ ( produc1414300567har_ty @ ( produc251930284har_ty @ Ax_1 @ Ay_1 ) @ ( produc251930284har_ty @ A_2 @ B_4 ) ) @ ( transi1325206117har_ty @ R_6 ) )
=> ( ( member119266708har_ty @ ( produc1414300567har_ty @ ( produc251930284har_ty @ A_2 @ B_4 ) @ ( produc251930284har_ty @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_509_rtrancl__induct2,axiom,
! [P_4: produc809539159t_char > produc809539159t_char > $o,Ax_1: produc809539159t_char,Ay_1: produc809539159t_char,Bx_1: produc809539159t_char,By_1: produc809539159t_char,R_6: produc633474461t_char > $o] :
( ( member902595210t_char @ ( produc253822483t_char @ ( produc1897818327t_char @ Ax_1 @ Ay_1 ) @ ( produc1897818327t_char @ Bx_1 @ By_1 ) ) @ ( transi1630776058t_char @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: produc809539159t_char,B_4: produc809539159t_char,Aa: produc809539159t_char,Ba: produc809539159t_char] :
( ( member902595210t_char @ ( produc253822483t_char @ ( produc1897818327t_char @ Ax_1 @ Ay_1 ) @ ( produc1897818327t_char @ A_2 @ B_4 ) ) @ ( transi1630776058t_char @ R_6 ) )
=> ( ( member902595210t_char @ ( produc253822483t_char @ ( produc1897818327t_char @ A_2 @ B_4 ) @ ( produc1897818327t_char @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_510_rtrancl__induct2,axiom,
! [P_4: produc1278157519t_char > produc1278157519t_char > $o,Ax_1: produc1278157519t_char,Ay_1: produc1278157519t_char,Bx_1: produc1278157519t_char,By_1: produc1278157519t_char,R_6: produc997054249t_char > $o] :
( ( member1689070870t_char @ ( produc354099231t_char @ ( produc2080520419t_char @ Ax_1 @ Ay_1 ) @ ( produc2080520419t_char @ Bx_1 @ By_1 ) ) @ ( transi15035776t_char @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: produc1278157519t_char,B_4: produc1278157519t_char,Aa: produc1278157519t_char,Ba: produc1278157519t_char] :
( ( member1689070870t_char @ ( produc354099231t_char @ ( produc2080520419t_char @ Ax_1 @ Ay_1 ) @ ( produc2080520419t_char @ A_2 @ B_4 ) ) @ ( transi15035776t_char @ R_6 ) )
=> ( ( member1689070870t_char @ ( produc354099231t_char @ ( produc2080520419t_char @ A_2 @ B_4 ) @ ( produc2080520419t_char @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_511_rtrancl__induct2,axiom,
! [P_4: produc2088785539on_val > produc2088785539on_val > $o,Ax_1: produc2088785539on_val,Ay_1: produc2088785539on_val,Bx_1: produc2088785539on_val,By_1: produc2088785539on_val,R_6: produc2036485625on_val > $o] :
( ( member1719118310on_val @ ( produc1846311919on_val @ ( produc1773146955on_val @ Ax_1 @ Ay_1 ) @ ( produc1773146955on_val @ Bx_1 @ By_1 ) ) @ ( transi2104087144on_val @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: produc2088785539on_val,B_4: produc2088785539on_val,Aa: produc2088785539on_val,Ba: produc2088785539on_val] :
( ( member1719118310on_val @ ( produc1846311919on_val @ ( produc1773146955on_val @ Ax_1 @ Ay_1 ) @ ( produc1773146955on_val @ A_2 @ B_4 ) ) @ ( transi2104087144on_val @ R_6 ) )
=> ( ( member1719118310on_val @ ( produc1846311919on_val @ ( produc1773146955on_val @ A_2 @ B_4 ) @ ( produc1773146955on_val @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_512_rtrancl__induct2,axiom,
! [P_4: product_prod_val_val > product_prod_val_val > $o,Ax_1: product_prod_val_val,Ay_1: product_prod_val_val,Bx_1: product_prod_val_val,By_1: product_prod_val_val,R_6: produc1049221769al_val > $o] :
( ( member384848502al_val @ ( produc94135935al_val @ ( produc1244920211al_val @ Ax_1 @ Ay_1 ) @ ( produc1244920211al_val @ Bx_1 @ By_1 ) ) @ ( transi1927461808al_val @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: product_prod_val_val,B_4: product_prod_val_val,Aa: product_prod_val_val,Ba: product_prod_val_val] :
( ( member384848502al_val @ ( produc94135935al_val @ ( produc1244920211al_val @ Ax_1 @ Ay_1 ) @ ( produc1244920211al_val @ A_2 @ B_4 ) ) @ ( transi1927461808al_val @ R_6 ) )
=> ( ( member384848502al_val @ ( produc94135935al_val @ ( produc1244920211al_val @ A_2 @ B_4 ) @ ( produc1244920211al_val @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_513_rtrancl__induct2,axiom,
! [P_4: produc1645268488al_val > produc1645268488al_val > $o,Ax_1: produc1645268488al_val,Ay_1: produc1645268488al_val,Bx_1: produc1645268488al_val,By_1: produc1645268488al_val,R_6: produc2128539405al_val > $o] :
( ( member23198458al_val @ ( produc370870787al_val @ ( produc1924279125al_val @ Ax_1 @ Ay_1 ) @ ( produc1924279125al_val @ Bx_1 @ By_1 ) ) @ ( transi486718450al_val @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: produc1645268488al_val,B_4: produc1645268488al_val,Aa: produc1645268488al_val,Ba: produc1645268488al_val] :
( ( member23198458al_val @ ( produc370870787al_val @ ( produc1924279125al_val @ Ax_1 @ Ay_1 ) @ ( produc1924279125al_val @ A_2 @ B_4 ) ) @ ( transi486718450al_val @ R_6 ) )
=> ( ( member23198458al_val @ ( produc370870787al_val @ ( produc1924279125al_val @ A_2 @ B_4 ) @ ( produc1924279125al_val @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_514_rtrancl__induct2,axiom,
! [P_4: produc662261637t_char > produc662261637t_char > $o,Ax_1: produc662261637t_char,Ay_1: produc662261637t_char,Bx_1: produc662261637t_char,By_1: produc662261637t_char,R_6: produc228386305t_char > $o] :
( ( member1105423342t_char @ ( produc627518711t_char @ ( produc1299387215t_char @ Ax_1 @ Ay_1 ) @ ( produc1299387215t_char @ Bx_1 @ By_1 ) ) @ ( transi1803333868t_char @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: produc662261637t_char,B_4: produc662261637t_char,Aa: produc662261637t_char,Ba: produc662261637t_char] :
( ( member1105423342t_char @ ( produc627518711t_char @ ( produc1299387215t_char @ Ax_1 @ Ay_1 ) @ ( produc1299387215t_char @ A_2 @ B_4 ) ) @ ( transi1803333868t_char @ R_6 ) )
=> ( ( member1105423342t_char @ ( produc627518711t_char @ ( produc1299387215t_char @ A_2 @ B_4 ) @ ( produc1299387215t_char @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_515_rtrancl__induct2,axiom,
! [P_4: produc220283002t_char > produc220283002t_char > $o,Ax_1: produc220283002t_char,Ay_1: produc220283002t_char,Bx_1: produc220283002t_char,By_1: produc220283002t_char,R_6: produc1367398613t_char > $o] :
( ( member371591362t_char @ ( produc913263563t_char @ ( produc57279289t_char @ Ax_1 @ Ay_1 ) @ ( produc57279289t_char @ Bx_1 @ By_1 ) ) @ ( transi1452021206t_char @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: produc220283002t_char,B_4: produc220283002t_char,Aa: produc220283002t_char,Ba: produc220283002t_char] :
( ( member371591362t_char @ ( produc913263563t_char @ ( produc57279289t_char @ Ax_1 @ Ay_1 ) @ ( produc57279289t_char @ A_2 @ B_4 ) ) @ ( transi1452021206t_char @ R_6 ) )
=> ( ( member371591362t_char @ ( produc913263563t_char @ ( produc57279289t_char @ A_2 @ B_4 ) @ ( produc57279289t_char @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_516_rtrancl__induct2,axiom,
! [P_4: produc1285161482t_char > produc1285161482t_char > $o,Ax_1: produc1285161482t_char,Ay_1: produc1285161482t_char,Bx_1: produc1285161482t_char,By_1: produc1285161482t_char,R_6: produc1404366365t_char > $o] :
( ( member1934728458t_char @ ( produc1288549779t_char @ ( produc24551831t_char @ Ax_1 @ Ay_1 ) @ ( produc24551831t_char @ Bx_1 @ By_1 ) ) @ ( transi2072254650t_char @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: produc1285161482t_char,B_4: produc1285161482t_char,Aa: produc1285161482t_char,Ba: produc1285161482t_char] :
( ( member1934728458t_char @ ( produc1288549779t_char @ ( produc24551831t_char @ Ax_1 @ Ay_1 ) @ ( produc24551831t_char @ A_2 @ B_4 ) ) @ ( transi2072254650t_char @ R_6 ) )
=> ( ( member1934728458t_char @ ( produc1288549779t_char @ ( produc24551831t_char @ A_2 @ B_4 ) @ ( produc24551831t_char @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_517_rtrancl__induct2,axiom,
! [P_4: produc618524391on_val > produc618524391on_val > $o,Ax_1: produc618524391on_val,Ay_1: produc618524391on_val,Bx_1: produc618524391on_val,By_1: produc618524391on_val,R_6: produc533730185on_val > $o] :
( ( member1650322294on_val @ ( produc1782214527on_val @ ( produc1347028499on_val @ Ax_1 @ Ay_1 ) @ ( produc1347028499on_val @ Bx_1 @ By_1 ) ) @ ( transi94318640on_val @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: produc618524391on_val,B_4: produc618524391on_val,Aa: produc618524391on_val,Ba: produc618524391on_val] :
( ( member1650322294on_val @ ( produc1782214527on_val @ ( produc1347028499on_val @ Ax_1 @ Ay_1 ) @ ( produc1347028499on_val @ A_2 @ B_4 ) ) @ ( transi94318640on_val @ R_6 ) )
=> ( ( member1650322294on_val @ ( produc1782214527on_val @ ( produc1347028499on_val @ A_2 @ B_4 ) @ ( produc1347028499on_val @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_518_rtrancl__induct2,axiom,
! [P_4: produc2090907612on_val > produc2090907612on_val > $o,Ax_1: produc2090907612on_val,Ay_1: produc2090907612on_val,Bx_1: produc2090907612on_val,By_1: produc2090907612on_val,R_6: produc93741661on_val > $o] :
( ( member1519152714on_val @ ( produc60772691on_val @ ( produc259392253on_val @ Ax_1 @ Ay_1 ) @ ( produc259392253on_val @ Bx_1 @ By_1 ) ) @ ( transi289221018on_val @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: produc2090907612on_val,B_4: produc2090907612on_val,Aa: produc2090907612on_val,Ba: produc2090907612on_val] :
( ( member1519152714on_val @ ( produc60772691on_val @ ( produc259392253on_val @ Ax_1 @ Ay_1 ) @ ( produc259392253on_val @ A_2 @ B_4 ) ) @ ( transi289221018on_val @ R_6 ) )
=> ( ( member1519152714on_val @ ( produc60772691on_val @ ( produc259392253on_val @ A_2 @ B_4 ) @ ( produc259392253on_val @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_519_rtrancl__induct2,axiom,
! [P_4: produc1746408499on_val > produc1746408499on_val > $o,Ax_1: produc1746408499on_val,Ay_1: produc1746408499on_val,Bx_1: produc1746408499on_val,By_1: produc1746408499on_val,R_6: produc1206428857on_val > $o] :
( ( member1735092902on_val @ ( produc900610479on_val @ ( produc345758123on_val @ Ax_1 @ Ay_1 ) @ ( produc345758123on_val @ Bx_1 @ By_1 ) ) @ ( transi1461661768on_val @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: produc1746408499on_val,B_4: produc1746408499on_val,Aa: produc1746408499on_val,Ba: produc1746408499on_val] :
( ( member1735092902on_val @ ( produc900610479on_val @ ( produc345758123on_val @ Ax_1 @ Ay_1 ) @ ( produc345758123on_val @ A_2 @ B_4 ) ) @ ( transi1461661768on_val @ R_6 ) )
=> ( ( member1735092902on_val @ ( produc900610479on_val @ ( produc345758123on_val @ A_2 @ B_4 ) @ ( produc345758123on_val @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_520_rtrancl__induct2,axiom,
! [P_4: produc1282892786on_val > produc1282892786on_val > $o,Ax_1: produc1282892786on_val,Ay_1: produc1282892786on_val,Bx_1: produc1282892786on_val,By_1: produc1282892786on_val,R_6: produc652964533on_val > $o] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ Ax_1 @ Ay_1 ) @ ( produc833389609on_val @ Bx_1 @ By_1 ) ) @ ( transi130214086on_val @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: produc1282892786on_val,B_4: produc1282892786on_val,Aa: produc1282892786on_val,Ba: produc1282892786on_val] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ Ax_1 @ Ay_1 ) @ ( produc833389609on_val @ A_2 @ B_4 ) ) @ ( transi130214086on_val @ R_6 ) )
=> ( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ A_2 @ B_4 ) @ ( produc833389609on_val @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_521_rtrancl__induct2,axiom,
! [P_4: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,Ax_1: nat > option1728594148on_val,Ay_1: list_char > option_val,Bx_1: nat > option1728594148on_val,By_1: list_char > option_val,R_6: produc1581780743on_val > $o] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ Ax_1 @ Ay_1 ) @ ( produc755559506on_val @ Bx_1 @ By_1 ) ) @ ( transi466770671on_val @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: nat > option1728594148on_val,B_4: list_char > option_val,Aa: nat > option1728594148on_val,Ba: list_char > option_val] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ Ax_1 @ Ay_1 ) @ ( produc755559506on_val @ A_2 @ B_4 ) ) @ ( transi466770671on_val @ R_6 ) )
=> ( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ A_2 @ B_4 ) @ ( produc755559506on_val @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_522_rtrancl__induct2,axiom,
! [P_4: produc1180562163on_val > produc1180562163on_val > $o,Ax_1: produc1180562163on_val,Ay_1: produc1180562163on_val,Bx_1: produc1180562163on_val,By_1: produc1180562163on_val,R_6: produc1250491293on_val > $o] :
( ( member1145216138on_val @ ( produc1347028499on_val @ ( produc747700183on_val @ Ax_1 @ Ay_1 ) @ ( produc747700183on_val @ Bx_1 @ By_1 ) ) @ ( transi1457397498on_val @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: produc1180562163on_val,B_4: produc1180562163on_val,Aa: produc1180562163on_val,Ba: produc1180562163on_val] :
( ( member1145216138on_val @ ( produc1347028499on_val @ ( produc747700183on_val @ Ax_1 @ Ay_1 ) @ ( produc747700183on_val @ A_2 @ B_4 ) ) @ ( transi1457397498on_val @ R_6 ) )
=> ( ( member1145216138on_val @ ( produc1347028499on_val @ ( produc747700183on_val @ A_2 @ B_4 ) @ ( produc747700183on_val @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_523_rtrancl__induct2,axiom,
! [P_4: list_list_char > produc220283002t_char > $o,Ax_1: list_list_char,Ay_1: produc220283002t_char,Bx_1: list_list_char,By_1: produc220283002t_char,R_6: produc349695911t_char > $o] :
( ( member1420286996t_char @ ( produc24551831t_char @ ( produc921874948t_char @ Ax_1 @ Ay_1 ) @ ( produc921874948t_char @ Bx_1 @ By_1 ) ) @ ( transi122195895t_char @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: list_list_char,B_4: produc220283002t_char,Aa: list_list_char,Ba: produc220283002t_char] :
( ( member1420286996t_char @ ( produc24551831t_char @ ( produc921874948t_char @ Ax_1 @ Ay_1 ) @ ( produc921874948t_char @ A_2 @ B_4 ) ) @ ( transi122195895t_char @ R_6 ) )
=> ( ( member1420286996t_char @ ( produc24551831t_char @ ( produc921874948t_char @ A_2 @ B_4 ) @ ( produc921874948t_char @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_524_rtrancl__induct2,axiom,
! [P_4: list_ty > produc662261637t_char > $o,Ax_1: list_ty,Ay_1: produc662261637t_char,Bx_1: list_ty,By_1: produc662261637t_char,R_6: produc1406897475t_char > $o] :
( ( member125098544t_char @ ( produc57279289t_char @ ( produc1909267824t_char @ Ax_1 @ Ay_1 ) @ ( produc1909267824t_char @ Bx_1 @ By_1 ) ) @ ( transi1257872013t_char @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: list_ty,B_4: produc662261637t_char,Aa: list_ty,Ba: produc662261637t_char] :
( ( member125098544t_char @ ( produc57279289t_char @ ( produc1909267824t_char @ Ax_1 @ Ay_1 ) @ ( produc1909267824t_char @ A_2 @ B_4 ) ) @ ( transi1257872013t_char @ R_6 ) )
=> ( ( member125098544t_char @ ( produc57279289t_char @ ( produc1909267824t_char @ A_2 @ B_4 ) @ ( produc1909267824t_char @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_525_rtrancl__induct2,axiom,
! [P_4: list_val > exp_list_char > $o,Ax_1: list_val,Ay_1: exp_list_char,Bx_1: list_val,By_1: exp_list_char,R_6: produc1826280281t_char > $o] :
( ( member1161907014t_char @ ( produc1299387215t_char @ ( produc1916172923t_char @ Ax_1 @ Ay_1 ) @ ( produc1916172923t_char @ Bx_1 @ By_1 ) ) @ ( transi1789604888t_char @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: list_val,B_4: exp_list_char,Aa: list_val,Ba: exp_list_char] :
( ( member1161907014t_char @ ( produc1299387215t_char @ ( produc1916172923t_char @ Ax_1 @ Ay_1 ) @ ( produc1916172923t_char @ A_2 @ B_4 ) ) @ ( transi1789604888t_char @ R_6 ) )
=> ( ( member1161907014t_char @ ( produc1299387215t_char @ ( produc1916172923t_char @ A_2 @ B_4 ) @ ( produc1916172923t_char @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_526_rtrancl__induct2,axiom,
! [P_4: bop > product_prod_val_val > $o,Ax_1: bop,Ay_1: product_prod_val_val,Bx_1: bop,By_1: product_prod_val_val,R_6: produc630464863al_val > $o] :
( ( member1732271180al_val @ ( produc1924279125al_val @ ( produc621191550al_val @ Ax_1 @ Ay_1 ) @ ( produc621191550al_val @ Bx_1 @ By_1 ) ) @ ( transi1906258203al_val @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: bop,B_4: product_prod_val_val,Aa: bop,Ba: product_prod_val_val] :
( ( member1732271180al_val @ ( produc1924279125al_val @ ( produc621191550al_val @ Ax_1 @ Ay_1 ) @ ( produc621191550al_val @ A_2 @ B_4 ) ) @ ( transi1906258203al_val @ R_6 ) )
=> ( ( member1732271180al_val @ ( produc1924279125al_val @ ( produc621191550al_val @ A_2 @ B_4 ) @ ( produc621191550al_val @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_527_rtrancl__induct2,axiom,
! [P_4: val > val > $o,Ax_1: val,Ay_1: val,Bx_1: val,By_1: val,R_6: produc800118557al_val > $o] :
( ( member837208074al_val @ ( produc1244920211al_val @ ( product_Pair_val_val @ Ax_1 @ Ay_1 ) @ ( product_Pair_val_val @ Bx_1 @ By_1 ) ) @ ( transi1423755450al_val @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: val,B_4: val,Aa: val,Ba: val] :
( ( member837208074al_val @ ( produc1244920211al_val @ ( product_Pair_val_val @ Ax_1 @ Ay_1 ) @ ( product_Pair_val_val @ A_2 @ B_4 ) ) @ ( transi1423755450al_val @ R_6 ) )
=> ( ( member837208074al_val @ ( produc1244920211al_val @ ( product_Pair_val_val @ A_2 @ B_4 ) @ ( product_Pair_val_val @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_528_rtrancl__induct2,axiom,
! [P_4: list_char > ( produc1278157519t_char > option_val ) > $o,Ax_1: list_char,Ay_1: produc1278157519t_char > option_val,Bx_1: list_char,By_1: produc1278157519t_char > option_val,R_6: produc1368416213on_val > $o] :
( ( member1235075778on_val @ ( produc1773146955on_val @ ( produc926070009on_val @ Ax_1 @ Ay_1 ) @ ( produc926070009on_val @ Bx_1 @ By_1 ) ) @ ( transi1669211542on_val @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: list_char,B_4: produc1278157519t_char > option_val,Aa: list_char,Ba: produc1278157519t_char > option_val] :
( ( member1235075778on_val @ ( produc1773146955on_val @ ( produc926070009on_val @ Ax_1 @ Ay_1 ) @ ( produc926070009on_val @ A_2 @ B_4 ) ) @ ( transi1669211542on_val @ R_6 ) )
=> ( ( member1235075778on_val @ ( produc1773146955on_val @ ( produc926070009on_val @ A_2 @ B_4 ) @ ( produc926070009on_val @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_529_rtrancl__induct2,axiom,
! [P_4: list_char > list_char > $o,Ax_1: list_char,Ay_1: list_char,Bx_1: list_char,By_1: list_char,R_6: produc1350825965t_char > $o] :
( ( member794220506t_char @ ( produc2080520419t_char @ ( produc5062597t_char @ Ax_1 @ Ay_1 ) @ ( produc5062597t_char @ Bx_1 @ By_1 ) ) @ ( transi1095029602t_char @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: list_char,B_4: list_char,Aa: list_char,Ba: list_char] :
( ( member794220506t_char @ ( produc2080520419t_char @ ( produc5062597t_char @ Ax_1 @ Ay_1 ) @ ( produc5062597t_char @ A_2 @ B_4 ) ) @ ( transi1095029602t_char @ R_6 ) )
=> ( ( member794220506t_char @ ( produc2080520419t_char @ ( produc5062597t_char @ A_2 @ B_4 ) @ ( produc5062597t_char @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_530_rtrancl__induct2,axiom,
! [P_4: list_list_char > exp_list_char > $o,Ax_1: list_list_char,Ay_1: exp_list_char,Bx_1: list_list_char,By_1: exp_list_char,R_6: produc1534059751t_char > $o] :
( ( member1999287380t_char @ ( produc1897818327t_char @ ( produc1147572817t_char @ Ax_1 @ Ay_1 ) @ ( produc1147572817t_char @ Bx_1 @ By_1 ) ) @ ( transi198989188t_char @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: list_list_char,B_4: exp_list_char,Aa: list_list_char,Ba: exp_list_char] :
( ( member1999287380t_char @ ( produc1897818327t_char @ ( produc1147572817t_char @ Ax_1 @ Ay_1 ) @ ( produc1147572817t_char @ A_2 @ B_4 ) ) @ ( transi198989188t_char @ R_6 ) )
=> ( ( member1999287380t_char @ ( produc1897818327t_char @ ( produc1147572817t_char @ A_2 @ B_4 ) @ ( produc1147572817t_char @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_531_rtrancl__induct2,axiom,
! [P_4: exp_list_char > produc2090907612on_val > $o,Ax_1: exp_list_char,Ay_1: produc2090907612on_val,Bx_1: exp_list_char,By_1: produc2090907612on_val,R_6: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ Ax_1 @ Ay_1 ) @ ( produc235638504on_val @ Bx_1 @ By_1 ) ) @ ( transi2118771717on_val @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: exp_list_char,B_4: produc2090907612on_val,Aa: exp_list_char,Ba: produc2090907612on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ Ax_1 @ Ay_1 ) @ ( produc235638504on_val @ A_2 @ B_4 ) ) @ ( transi2118771717on_val @ R_6 ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A_2 @ B_4 ) @ ( produc235638504on_val @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_532_rtrancl__induct2,axiom,
! [P_4: list_exp_list_char > produc2090907612on_val > $o,Ax_1: list_exp_list_char,Ay_1: produc2090907612on_val,Bx_1: list_exp_list_char,By_1: produc2090907612on_val,R_6: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ Ax_1 @ Ay_1 ) @ ( produc1302104557on_val @ Bx_1 @ By_1 ) ) @ ( transi808828192on_val @ R_6 ) )
=> ( ( P_4 @ Ax_1 @ Ay_1 )
=> ( ! [A_2: list_exp_list_char,B_4: produc2090907612on_val,Aa: list_exp_list_char,Ba: produc2090907612on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ Ax_1 @ Ay_1 ) @ ( produc1302104557on_val @ A_2 @ B_4 ) ) @ ( transi808828192on_val @ R_6 ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ A_2 @ B_4 ) @ ( produc1302104557on_val @ Aa @ Ba ) ) @ R_6 )
=> ( ( P_4 @ A_2 @ B_4 )
=> ( P_4 @ Aa @ Ba ) ) ) )
=> ( P_4 @ Bx_1 @ By_1 ) ) ) ) ).
thf(fact_533_converse__rtrancl__induct2,axiom,
! [P_3: list_char > produc917948472har_ty > $o,Ax: list_char,Ay: produc917948472har_ty,Bx: list_char,By: produc917948472har_ty,R_5: produc463632231har_ty > $o] :
( ( member1664419796har_ty @ ( produc2038128087har_ty @ ( produc1002914035har_ty @ Ax @ Ay ) @ ( produc1002914035har_ty @ Bx @ By ) ) @ ( transi1158914604har_ty @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: list_char,B_4: produc917948472har_ty,Aa: list_char,Ba: produc917948472har_ty] :
( ( member1664419796har_ty @ ( produc2038128087har_ty @ ( produc1002914035har_ty @ A_2 @ B_4 ) @ ( produc1002914035har_ty @ Aa @ Ba ) ) @ R_5 )
=> ( ( member1664419796har_ty @ ( produc2038128087har_ty @ ( produc1002914035har_ty @ Aa @ Ba ) @ ( produc1002914035har_ty @ Bx @ By ) ) @ ( transi1158914604har_ty @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_534_converse__rtrancl__induct2,axiom,
! [P_3: produc1278157519t_char > ty > $o,Ax: produc1278157519t_char,Ay: ty,Bx: produc1278157519t_char,By: ty,R_5: produc785809127har_ty > $o] :
( ( member1986596692har_ty @ ( produc63273559har_ty @ ( produc1265154397har_ty @ Ax @ Ay ) @ ( produc1265154397har_ty @ Bx @ By ) ) @ ( transi935089046har_ty @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: produc1278157519t_char,B_4: ty,Aa: produc1278157519t_char,Ba: ty] :
( ( member1986596692har_ty @ ( produc63273559har_ty @ ( produc1265154397har_ty @ A_2 @ B_4 ) @ ( produc1265154397har_ty @ Aa @ Ba ) ) @ R_5 )
=> ( ( member1986596692har_ty @ ( produc63273559har_ty @ ( produc1265154397har_ty @ Aa @ Ba ) @ ( produc1265154397har_ty @ Bx @ By ) ) @ ( transi935089046har_ty @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_535_converse__rtrancl__induct2,axiom,
! [P_3: list_char > ty > $o,Ax: list_char,Ay: ty,Bx: list_char,By: ty,R_5: produc300386343har_ty > $o] :
( ( member119266708har_ty @ ( produc1414300567har_ty @ ( produc251930284har_ty @ Ax @ Ay ) @ ( produc251930284har_ty @ Bx @ By ) ) @ ( transi1325206117har_ty @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: list_char,B_4: ty,Aa: list_char,Ba: ty] :
( ( member119266708har_ty @ ( produc1414300567har_ty @ ( produc251930284har_ty @ A_2 @ B_4 ) @ ( produc251930284har_ty @ Aa @ Ba ) ) @ R_5 )
=> ( ( member119266708har_ty @ ( produc1414300567har_ty @ ( produc251930284har_ty @ Aa @ Ba ) @ ( produc251930284har_ty @ Bx @ By ) ) @ ( transi1325206117har_ty @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_536_converse__rtrancl__induct2,axiom,
! [P_3: produc809539159t_char > produc809539159t_char > $o,Ax: produc809539159t_char,Ay: produc809539159t_char,Bx: produc809539159t_char,By: produc809539159t_char,R_5: produc633474461t_char > $o] :
( ( member902595210t_char @ ( produc253822483t_char @ ( produc1897818327t_char @ Ax @ Ay ) @ ( produc1897818327t_char @ Bx @ By ) ) @ ( transi1630776058t_char @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: produc809539159t_char,B_4: produc809539159t_char,Aa: produc809539159t_char,Ba: produc809539159t_char] :
( ( member902595210t_char @ ( produc253822483t_char @ ( produc1897818327t_char @ A_2 @ B_4 ) @ ( produc1897818327t_char @ Aa @ Ba ) ) @ R_5 )
=> ( ( member902595210t_char @ ( produc253822483t_char @ ( produc1897818327t_char @ Aa @ Ba ) @ ( produc1897818327t_char @ Bx @ By ) ) @ ( transi1630776058t_char @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_537_converse__rtrancl__induct2,axiom,
! [P_3: produc1278157519t_char > produc1278157519t_char > $o,Ax: produc1278157519t_char,Ay: produc1278157519t_char,Bx: produc1278157519t_char,By: produc1278157519t_char,R_5: produc997054249t_char > $o] :
( ( member1689070870t_char @ ( produc354099231t_char @ ( produc2080520419t_char @ Ax @ Ay ) @ ( produc2080520419t_char @ Bx @ By ) ) @ ( transi15035776t_char @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: produc1278157519t_char,B_4: produc1278157519t_char,Aa: produc1278157519t_char,Ba: produc1278157519t_char] :
( ( member1689070870t_char @ ( produc354099231t_char @ ( produc2080520419t_char @ A_2 @ B_4 ) @ ( produc2080520419t_char @ Aa @ Ba ) ) @ R_5 )
=> ( ( member1689070870t_char @ ( produc354099231t_char @ ( produc2080520419t_char @ Aa @ Ba ) @ ( produc2080520419t_char @ Bx @ By ) ) @ ( transi15035776t_char @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_538_converse__rtrancl__induct2,axiom,
! [P_3: produc2088785539on_val > produc2088785539on_val > $o,Ax: produc2088785539on_val,Ay: produc2088785539on_val,Bx: produc2088785539on_val,By: produc2088785539on_val,R_5: produc2036485625on_val > $o] :
( ( member1719118310on_val @ ( produc1846311919on_val @ ( produc1773146955on_val @ Ax @ Ay ) @ ( produc1773146955on_val @ Bx @ By ) ) @ ( transi2104087144on_val @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: produc2088785539on_val,B_4: produc2088785539on_val,Aa: produc2088785539on_val,Ba: produc2088785539on_val] :
( ( member1719118310on_val @ ( produc1846311919on_val @ ( produc1773146955on_val @ A_2 @ B_4 ) @ ( produc1773146955on_val @ Aa @ Ba ) ) @ R_5 )
=> ( ( member1719118310on_val @ ( produc1846311919on_val @ ( produc1773146955on_val @ Aa @ Ba ) @ ( produc1773146955on_val @ Bx @ By ) ) @ ( transi2104087144on_val @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_539_converse__rtrancl__induct2,axiom,
! [P_3: product_prod_val_val > product_prod_val_val > $o,Ax: product_prod_val_val,Ay: product_prod_val_val,Bx: product_prod_val_val,By: product_prod_val_val,R_5: produc1049221769al_val > $o] :
( ( member384848502al_val @ ( produc94135935al_val @ ( produc1244920211al_val @ Ax @ Ay ) @ ( produc1244920211al_val @ Bx @ By ) ) @ ( transi1927461808al_val @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: product_prod_val_val,B_4: product_prod_val_val,Aa: product_prod_val_val,Ba: product_prod_val_val] :
( ( member384848502al_val @ ( produc94135935al_val @ ( produc1244920211al_val @ A_2 @ B_4 ) @ ( produc1244920211al_val @ Aa @ Ba ) ) @ R_5 )
=> ( ( member384848502al_val @ ( produc94135935al_val @ ( produc1244920211al_val @ Aa @ Ba ) @ ( produc1244920211al_val @ Bx @ By ) ) @ ( transi1927461808al_val @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_540_converse__rtrancl__induct2,axiom,
! [P_3: produc1645268488al_val > produc1645268488al_val > $o,Ax: produc1645268488al_val,Ay: produc1645268488al_val,Bx: produc1645268488al_val,By: produc1645268488al_val,R_5: produc2128539405al_val > $o] :
( ( member23198458al_val @ ( produc370870787al_val @ ( produc1924279125al_val @ Ax @ Ay ) @ ( produc1924279125al_val @ Bx @ By ) ) @ ( transi486718450al_val @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: produc1645268488al_val,B_4: produc1645268488al_val,Aa: produc1645268488al_val,Ba: produc1645268488al_val] :
( ( member23198458al_val @ ( produc370870787al_val @ ( produc1924279125al_val @ A_2 @ B_4 ) @ ( produc1924279125al_val @ Aa @ Ba ) ) @ R_5 )
=> ( ( member23198458al_val @ ( produc370870787al_val @ ( produc1924279125al_val @ Aa @ Ba ) @ ( produc1924279125al_val @ Bx @ By ) ) @ ( transi486718450al_val @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_541_converse__rtrancl__induct2,axiom,
! [P_3: produc662261637t_char > produc662261637t_char > $o,Ax: produc662261637t_char,Ay: produc662261637t_char,Bx: produc662261637t_char,By: produc662261637t_char,R_5: produc228386305t_char > $o] :
( ( member1105423342t_char @ ( produc627518711t_char @ ( produc1299387215t_char @ Ax @ Ay ) @ ( produc1299387215t_char @ Bx @ By ) ) @ ( transi1803333868t_char @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: produc662261637t_char,B_4: produc662261637t_char,Aa: produc662261637t_char,Ba: produc662261637t_char] :
( ( member1105423342t_char @ ( produc627518711t_char @ ( produc1299387215t_char @ A_2 @ B_4 ) @ ( produc1299387215t_char @ Aa @ Ba ) ) @ R_5 )
=> ( ( member1105423342t_char @ ( produc627518711t_char @ ( produc1299387215t_char @ Aa @ Ba ) @ ( produc1299387215t_char @ Bx @ By ) ) @ ( transi1803333868t_char @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_542_converse__rtrancl__induct2,axiom,
! [P_3: produc220283002t_char > produc220283002t_char > $o,Ax: produc220283002t_char,Ay: produc220283002t_char,Bx: produc220283002t_char,By: produc220283002t_char,R_5: produc1367398613t_char > $o] :
( ( member371591362t_char @ ( produc913263563t_char @ ( produc57279289t_char @ Ax @ Ay ) @ ( produc57279289t_char @ Bx @ By ) ) @ ( transi1452021206t_char @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: produc220283002t_char,B_4: produc220283002t_char,Aa: produc220283002t_char,Ba: produc220283002t_char] :
( ( member371591362t_char @ ( produc913263563t_char @ ( produc57279289t_char @ A_2 @ B_4 ) @ ( produc57279289t_char @ Aa @ Ba ) ) @ R_5 )
=> ( ( member371591362t_char @ ( produc913263563t_char @ ( produc57279289t_char @ Aa @ Ba ) @ ( produc57279289t_char @ Bx @ By ) ) @ ( transi1452021206t_char @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_543_converse__rtrancl__induct2,axiom,
! [P_3: produc1285161482t_char > produc1285161482t_char > $o,Ax: produc1285161482t_char,Ay: produc1285161482t_char,Bx: produc1285161482t_char,By: produc1285161482t_char,R_5: produc1404366365t_char > $o] :
( ( member1934728458t_char @ ( produc1288549779t_char @ ( produc24551831t_char @ Ax @ Ay ) @ ( produc24551831t_char @ Bx @ By ) ) @ ( transi2072254650t_char @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: produc1285161482t_char,B_4: produc1285161482t_char,Aa: produc1285161482t_char,Ba: produc1285161482t_char] :
( ( member1934728458t_char @ ( produc1288549779t_char @ ( produc24551831t_char @ A_2 @ B_4 ) @ ( produc24551831t_char @ Aa @ Ba ) ) @ R_5 )
=> ( ( member1934728458t_char @ ( produc1288549779t_char @ ( produc24551831t_char @ Aa @ Ba ) @ ( produc24551831t_char @ Bx @ By ) ) @ ( transi2072254650t_char @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_544_converse__rtrancl__induct2,axiom,
! [P_3: produc618524391on_val > produc618524391on_val > $o,Ax: produc618524391on_val,Ay: produc618524391on_val,Bx: produc618524391on_val,By: produc618524391on_val,R_5: produc533730185on_val > $o] :
( ( member1650322294on_val @ ( produc1782214527on_val @ ( produc1347028499on_val @ Ax @ Ay ) @ ( produc1347028499on_val @ Bx @ By ) ) @ ( transi94318640on_val @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: produc618524391on_val,B_4: produc618524391on_val,Aa: produc618524391on_val,Ba: produc618524391on_val] :
( ( member1650322294on_val @ ( produc1782214527on_val @ ( produc1347028499on_val @ A_2 @ B_4 ) @ ( produc1347028499on_val @ Aa @ Ba ) ) @ R_5 )
=> ( ( member1650322294on_val @ ( produc1782214527on_val @ ( produc1347028499on_val @ Aa @ Ba ) @ ( produc1347028499on_val @ Bx @ By ) ) @ ( transi94318640on_val @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_545_converse__rtrancl__induct2,axiom,
! [P_3: produc2090907612on_val > produc2090907612on_val > $o,Ax: produc2090907612on_val,Ay: produc2090907612on_val,Bx: produc2090907612on_val,By: produc2090907612on_val,R_5: produc93741661on_val > $o] :
( ( member1519152714on_val @ ( produc60772691on_val @ ( produc259392253on_val @ Ax @ Ay ) @ ( produc259392253on_val @ Bx @ By ) ) @ ( transi289221018on_val @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: produc2090907612on_val,B_4: produc2090907612on_val,Aa: produc2090907612on_val,Ba: produc2090907612on_val] :
( ( member1519152714on_val @ ( produc60772691on_val @ ( produc259392253on_val @ A_2 @ B_4 ) @ ( produc259392253on_val @ Aa @ Ba ) ) @ R_5 )
=> ( ( member1519152714on_val @ ( produc60772691on_val @ ( produc259392253on_val @ Aa @ Ba ) @ ( produc259392253on_val @ Bx @ By ) ) @ ( transi289221018on_val @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_546_converse__rtrancl__induct2,axiom,
! [P_3: produc1746408499on_val > produc1746408499on_val > $o,Ax: produc1746408499on_val,Ay: produc1746408499on_val,Bx: produc1746408499on_val,By: produc1746408499on_val,R_5: produc1206428857on_val > $o] :
( ( member1735092902on_val @ ( produc900610479on_val @ ( produc345758123on_val @ Ax @ Ay ) @ ( produc345758123on_val @ Bx @ By ) ) @ ( transi1461661768on_val @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: produc1746408499on_val,B_4: produc1746408499on_val,Aa: produc1746408499on_val,Ba: produc1746408499on_val] :
( ( member1735092902on_val @ ( produc900610479on_val @ ( produc345758123on_val @ A_2 @ B_4 ) @ ( produc345758123on_val @ Aa @ Ba ) ) @ R_5 )
=> ( ( member1735092902on_val @ ( produc900610479on_val @ ( produc345758123on_val @ Aa @ Ba ) @ ( produc345758123on_val @ Bx @ By ) ) @ ( transi1461661768on_val @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_547_converse__rtrancl__induct2,axiom,
! [P_3: produc1282892786on_val > produc1282892786on_val > $o,Ax: produc1282892786on_val,Ay: produc1282892786on_val,Bx: produc1282892786on_val,By: produc1282892786on_val,R_5: produc652964533on_val > $o] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ Ax @ Ay ) @ ( produc833389609on_val @ Bx @ By ) ) @ ( transi130214086on_val @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: produc1282892786on_val,B_4: produc1282892786on_val,Aa: produc1282892786on_val,Ba: produc1282892786on_val] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ A_2 @ B_4 ) @ ( produc833389609on_val @ Aa @ Ba ) ) @ R_5 )
=> ( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ Aa @ Ba ) @ ( produc833389609on_val @ Bx @ By ) ) @ ( transi130214086on_val @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_548_converse__rtrancl__induct2,axiom,
! [P_3: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,Ax: nat > option1728594148on_val,Ay: list_char > option_val,Bx: nat > option1728594148on_val,By: list_char > option_val,R_5: produc1581780743on_val > $o] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ Ax @ Ay ) @ ( produc755559506on_val @ Bx @ By ) ) @ ( transi466770671on_val @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: nat > option1728594148on_val,B_4: list_char > option_val,Aa: nat > option1728594148on_val,Ba: list_char > option_val] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ A_2 @ B_4 ) @ ( produc755559506on_val @ Aa @ Ba ) ) @ R_5 )
=> ( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ Aa @ Ba ) @ ( produc755559506on_val @ Bx @ By ) ) @ ( transi466770671on_val @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_549_converse__rtrancl__induct2,axiom,
! [P_3: produc1180562163on_val > produc1180562163on_val > $o,Ax: produc1180562163on_val,Ay: produc1180562163on_val,Bx: produc1180562163on_val,By: produc1180562163on_val,R_5: produc1250491293on_val > $o] :
( ( member1145216138on_val @ ( produc1347028499on_val @ ( produc747700183on_val @ Ax @ Ay ) @ ( produc747700183on_val @ Bx @ By ) ) @ ( transi1457397498on_val @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: produc1180562163on_val,B_4: produc1180562163on_val,Aa: produc1180562163on_val,Ba: produc1180562163on_val] :
( ( member1145216138on_val @ ( produc1347028499on_val @ ( produc747700183on_val @ A_2 @ B_4 ) @ ( produc747700183on_val @ Aa @ Ba ) ) @ R_5 )
=> ( ( member1145216138on_val @ ( produc1347028499on_val @ ( produc747700183on_val @ Aa @ Ba ) @ ( produc747700183on_val @ Bx @ By ) ) @ ( transi1457397498on_val @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_550_converse__rtrancl__induct2,axiom,
! [P_3: list_list_char > produc220283002t_char > $o,Ax: list_list_char,Ay: produc220283002t_char,Bx: list_list_char,By: produc220283002t_char,R_5: produc349695911t_char > $o] :
( ( member1420286996t_char @ ( produc24551831t_char @ ( produc921874948t_char @ Ax @ Ay ) @ ( produc921874948t_char @ Bx @ By ) ) @ ( transi122195895t_char @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: list_list_char,B_4: produc220283002t_char,Aa: list_list_char,Ba: produc220283002t_char] :
( ( member1420286996t_char @ ( produc24551831t_char @ ( produc921874948t_char @ A_2 @ B_4 ) @ ( produc921874948t_char @ Aa @ Ba ) ) @ R_5 )
=> ( ( member1420286996t_char @ ( produc24551831t_char @ ( produc921874948t_char @ Aa @ Ba ) @ ( produc921874948t_char @ Bx @ By ) ) @ ( transi122195895t_char @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_551_converse__rtrancl__induct2,axiom,
! [P_3: list_ty > produc662261637t_char > $o,Ax: list_ty,Ay: produc662261637t_char,Bx: list_ty,By: produc662261637t_char,R_5: produc1406897475t_char > $o] :
( ( member125098544t_char @ ( produc57279289t_char @ ( produc1909267824t_char @ Ax @ Ay ) @ ( produc1909267824t_char @ Bx @ By ) ) @ ( transi1257872013t_char @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: list_ty,B_4: produc662261637t_char,Aa: list_ty,Ba: produc662261637t_char] :
( ( member125098544t_char @ ( produc57279289t_char @ ( produc1909267824t_char @ A_2 @ B_4 ) @ ( produc1909267824t_char @ Aa @ Ba ) ) @ R_5 )
=> ( ( member125098544t_char @ ( produc57279289t_char @ ( produc1909267824t_char @ Aa @ Ba ) @ ( produc1909267824t_char @ Bx @ By ) ) @ ( transi1257872013t_char @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_552_converse__rtrancl__induct2,axiom,
! [P_3: list_val > exp_list_char > $o,Ax: list_val,Ay: exp_list_char,Bx: list_val,By: exp_list_char,R_5: produc1826280281t_char > $o] :
( ( member1161907014t_char @ ( produc1299387215t_char @ ( produc1916172923t_char @ Ax @ Ay ) @ ( produc1916172923t_char @ Bx @ By ) ) @ ( transi1789604888t_char @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: list_val,B_4: exp_list_char,Aa: list_val,Ba: exp_list_char] :
( ( member1161907014t_char @ ( produc1299387215t_char @ ( produc1916172923t_char @ A_2 @ B_4 ) @ ( produc1916172923t_char @ Aa @ Ba ) ) @ R_5 )
=> ( ( member1161907014t_char @ ( produc1299387215t_char @ ( produc1916172923t_char @ Aa @ Ba ) @ ( produc1916172923t_char @ Bx @ By ) ) @ ( transi1789604888t_char @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_553_converse__rtrancl__induct2,axiom,
! [P_3: bop > product_prod_val_val > $o,Ax: bop,Ay: product_prod_val_val,Bx: bop,By: product_prod_val_val,R_5: produc630464863al_val > $o] :
( ( member1732271180al_val @ ( produc1924279125al_val @ ( produc621191550al_val @ Ax @ Ay ) @ ( produc621191550al_val @ Bx @ By ) ) @ ( transi1906258203al_val @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: bop,B_4: product_prod_val_val,Aa: bop,Ba: product_prod_val_val] :
( ( member1732271180al_val @ ( produc1924279125al_val @ ( produc621191550al_val @ A_2 @ B_4 ) @ ( produc621191550al_val @ Aa @ Ba ) ) @ R_5 )
=> ( ( member1732271180al_val @ ( produc1924279125al_val @ ( produc621191550al_val @ Aa @ Ba ) @ ( produc621191550al_val @ Bx @ By ) ) @ ( transi1906258203al_val @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_554_converse__rtrancl__induct2,axiom,
! [P_3: val > val > $o,Ax: val,Ay: val,Bx: val,By: val,R_5: produc800118557al_val > $o] :
( ( member837208074al_val @ ( produc1244920211al_val @ ( product_Pair_val_val @ Ax @ Ay ) @ ( product_Pair_val_val @ Bx @ By ) ) @ ( transi1423755450al_val @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: val,B_4: val,Aa: val,Ba: val] :
( ( member837208074al_val @ ( produc1244920211al_val @ ( product_Pair_val_val @ A_2 @ B_4 ) @ ( product_Pair_val_val @ Aa @ Ba ) ) @ R_5 )
=> ( ( member837208074al_val @ ( produc1244920211al_val @ ( product_Pair_val_val @ Aa @ Ba ) @ ( product_Pair_val_val @ Bx @ By ) ) @ ( transi1423755450al_val @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_555_converse__rtrancl__induct2,axiom,
! [P_3: list_char > ( produc1278157519t_char > option_val ) > $o,Ax: list_char,Ay: produc1278157519t_char > option_val,Bx: list_char,By: produc1278157519t_char > option_val,R_5: produc1368416213on_val > $o] :
( ( member1235075778on_val @ ( produc1773146955on_val @ ( produc926070009on_val @ Ax @ Ay ) @ ( produc926070009on_val @ Bx @ By ) ) @ ( transi1669211542on_val @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: list_char,B_4: produc1278157519t_char > option_val,Aa: list_char,Ba: produc1278157519t_char > option_val] :
( ( member1235075778on_val @ ( produc1773146955on_val @ ( produc926070009on_val @ A_2 @ B_4 ) @ ( produc926070009on_val @ Aa @ Ba ) ) @ R_5 )
=> ( ( member1235075778on_val @ ( produc1773146955on_val @ ( produc926070009on_val @ Aa @ Ba ) @ ( produc926070009on_val @ Bx @ By ) ) @ ( transi1669211542on_val @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_556_converse__rtrancl__induct2,axiom,
! [P_3: list_char > list_char > $o,Ax: list_char,Ay: list_char,Bx: list_char,By: list_char,R_5: produc1350825965t_char > $o] :
( ( member794220506t_char @ ( produc2080520419t_char @ ( produc5062597t_char @ Ax @ Ay ) @ ( produc5062597t_char @ Bx @ By ) ) @ ( transi1095029602t_char @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: list_char,B_4: list_char,Aa: list_char,Ba: list_char] :
( ( member794220506t_char @ ( produc2080520419t_char @ ( produc5062597t_char @ A_2 @ B_4 ) @ ( produc5062597t_char @ Aa @ Ba ) ) @ R_5 )
=> ( ( member794220506t_char @ ( produc2080520419t_char @ ( produc5062597t_char @ Aa @ Ba ) @ ( produc5062597t_char @ Bx @ By ) ) @ ( transi1095029602t_char @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_557_converse__rtrancl__induct2,axiom,
! [P_3: list_list_char > exp_list_char > $o,Ax: list_list_char,Ay: exp_list_char,Bx: list_list_char,By: exp_list_char,R_5: produc1534059751t_char > $o] :
( ( member1999287380t_char @ ( produc1897818327t_char @ ( produc1147572817t_char @ Ax @ Ay ) @ ( produc1147572817t_char @ Bx @ By ) ) @ ( transi198989188t_char @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: list_list_char,B_4: exp_list_char,Aa: list_list_char,Ba: exp_list_char] :
( ( member1999287380t_char @ ( produc1897818327t_char @ ( produc1147572817t_char @ A_2 @ B_4 ) @ ( produc1147572817t_char @ Aa @ Ba ) ) @ R_5 )
=> ( ( member1999287380t_char @ ( produc1897818327t_char @ ( produc1147572817t_char @ Aa @ Ba ) @ ( produc1147572817t_char @ Bx @ By ) ) @ ( transi198989188t_char @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_558_converse__rtrancl__induct2,axiom,
! [P_3: exp_list_char > produc2090907612on_val > $o,Ax: exp_list_char,Ay: produc2090907612on_val,Bx: exp_list_char,By: produc2090907612on_val,R_5: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ Ax @ Ay ) @ ( produc235638504on_val @ Bx @ By ) ) @ ( transi2118771717on_val @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: exp_list_char,B_4: produc2090907612on_val,Aa: exp_list_char,Ba: produc2090907612on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A_2 @ B_4 ) @ ( produc235638504on_val @ Aa @ Ba ) ) @ R_5 )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ Aa @ Ba ) @ ( produc235638504on_val @ Bx @ By ) ) @ ( transi2118771717on_val @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_559_converse__rtrancl__induct2,axiom,
! [P_3: list_exp_list_char > produc2090907612on_val > $o,Ax: list_exp_list_char,Ay: produc2090907612on_val,Bx: list_exp_list_char,By: produc2090907612on_val,R_5: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ Ax @ Ay ) @ ( produc1302104557on_val @ Bx @ By ) ) @ ( transi808828192on_val @ R_5 ) )
=> ( ( P_3 @ Bx @ By )
=> ( ! [A_2: list_exp_list_char,B_4: produc2090907612on_val,Aa: list_exp_list_char,Ba: produc2090907612on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ A_2 @ B_4 ) @ ( produc1302104557on_val @ Aa @ Ba ) ) @ R_5 )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ Aa @ Ba ) @ ( produc1302104557on_val @ Bx @ By ) ) @ ( transi808828192on_val @ R_5 ) )
=> ( ( P_3 @ Aa @ Ba )
=> ( P_3 @ A_2 @ B_4 ) ) ) )
=> ( P_3 @ Ax @ Ay ) ) ) ) ).
thf(fact_560_converse__rtranclE2,axiom,
! [Xa_1: list_char,Xb_1: produc917948472har_ty,Za: list_char,Zb: produc917948472har_ty,R_4: produc463632231har_ty > $o] :
( ( member1664419796har_ty @ ( produc2038128087har_ty @ ( produc1002914035har_ty @ Xa_1 @ Xb_1 ) @ ( produc1002914035har_ty @ Za @ Zb ) ) @ ( transi1158914604har_ty @ R_4 ) )
=> ( ( ( produc1002914035har_ty @ Xa_1 @ Xb_1 )
!= ( produc1002914035har_ty @ Za @ Zb ) )
=> ~ ! [A_2: list_char,B_4: produc917948472har_ty] :
( ( member1664419796har_ty @ ( produc2038128087har_ty @ ( produc1002914035har_ty @ Xa_1 @ Xb_1 ) @ ( produc1002914035har_ty @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member1664419796har_ty @ ( produc2038128087har_ty @ ( produc1002914035har_ty @ A_2 @ B_4 ) @ ( produc1002914035har_ty @ Za @ Zb ) ) @ ( transi1158914604har_ty @ R_4 ) ) ) ) ) ).
thf(fact_561_converse__rtranclE2,axiom,
! [Xa_1: produc1278157519t_char,Xb_1: ty,Za: produc1278157519t_char,Zb: ty,R_4: produc785809127har_ty > $o] :
( ( member1986596692har_ty @ ( produc63273559har_ty @ ( produc1265154397har_ty @ Xa_1 @ Xb_1 ) @ ( produc1265154397har_ty @ Za @ Zb ) ) @ ( transi935089046har_ty @ R_4 ) )
=> ( ( ( produc1265154397har_ty @ Xa_1 @ Xb_1 )
!= ( produc1265154397har_ty @ Za @ Zb ) )
=> ~ ! [A_2: produc1278157519t_char,B_4: ty] :
( ( member1986596692har_ty @ ( produc63273559har_ty @ ( produc1265154397har_ty @ Xa_1 @ Xb_1 ) @ ( produc1265154397har_ty @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member1986596692har_ty @ ( produc63273559har_ty @ ( produc1265154397har_ty @ A_2 @ B_4 ) @ ( produc1265154397har_ty @ Za @ Zb ) ) @ ( transi935089046har_ty @ R_4 ) ) ) ) ) ).
thf(fact_562_converse__rtranclE2,axiom,
! [Xa_1: list_char,Xb_1: ty,Za: list_char,Zb: ty,R_4: produc300386343har_ty > $o] :
( ( member119266708har_ty @ ( produc1414300567har_ty @ ( produc251930284har_ty @ Xa_1 @ Xb_1 ) @ ( produc251930284har_ty @ Za @ Zb ) ) @ ( transi1325206117har_ty @ R_4 ) )
=> ( ( ( produc251930284har_ty @ Xa_1 @ Xb_1 )
!= ( produc251930284har_ty @ Za @ Zb ) )
=> ~ ! [A_2: list_char,B_4: ty] :
( ( member119266708har_ty @ ( produc1414300567har_ty @ ( produc251930284har_ty @ Xa_1 @ Xb_1 ) @ ( produc251930284har_ty @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member119266708har_ty @ ( produc1414300567har_ty @ ( produc251930284har_ty @ A_2 @ B_4 ) @ ( produc251930284har_ty @ Za @ Zb ) ) @ ( transi1325206117har_ty @ R_4 ) ) ) ) ) ).
thf(fact_563_converse__rtranclE2,axiom,
! [Xa_1: produc809539159t_char,Xb_1: produc809539159t_char,Za: produc809539159t_char,Zb: produc809539159t_char,R_4: produc633474461t_char > $o] :
( ( member902595210t_char @ ( produc253822483t_char @ ( produc1897818327t_char @ Xa_1 @ Xb_1 ) @ ( produc1897818327t_char @ Za @ Zb ) ) @ ( transi1630776058t_char @ R_4 ) )
=> ( ( ( produc1897818327t_char @ Xa_1 @ Xb_1 )
!= ( produc1897818327t_char @ Za @ Zb ) )
=> ~ ! [A_2: produc809539159t_char,B_4: produc809539159t_char] :
( ( member902595210t_char @ ( produc253822483t_char @ ( produc1897818327t_char @ Xa_1 @ Xb_1 ) @ ( produc1897818327t_char @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member902595210t_char @ ( produc253822483t_char @ ( produc1897818327t_char @ A_2 @ B_4 ) @ ( produc1897818327t_char @ Za @ Zb ) ) @ ( transi1630776058t_char @ R_4 ) ) ) ) ) ).
thf(fact_564_converse__rtranclE2,axiom,
! [Xa_1: produc1278157519t_char,Xb_1: produc1278157519t_char,Za: produc1278157519t_char,Zb: produc1278157519t_char,R_4: produc997054249t_char > $o] :
( ( member1689070870t_char @ ( produc354099231t_char @ ( produc2080520419t_char @ Xa_1 @ Xb_1 ) @ ( produc2080520419t_char @ Za @ Zb ) ) @ ( transi15035776t_char @ R_4 ) )
=> ( ( ( produc2080520419t_char @ Xa_1 @ Xb_1 )
!= ( produc2080520419t_char @ Za @ Zb ) )
=> ~ ! [A_2: produc1278157519t_char,B_4: produc1278157519t_char] :
( ( member1689070870t_char @ ( produc354099231t_char @ ( produc2080520419t_char @ Xa_1 @ Xb_1 ) @ ( produc2080520419t_char @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member1689070870t_char @ ( produc354099231t_char @ ( produc2080520419t_char @ A_2 @ B_4 ) @ ( produc2080520419t_char @ Za @ Zb ) ) @ ( transi15035776t_char @ R_4 ) ) ) ) ) ).
thf(fact_565_converse__rtranclE2,axiom,
! [Xa_1: produc2088785539on_val,Xb_1: produc2088785539on_val,Za: produc2088785539on_val,Zb: produc2088785539on_val,R_4: produc2036485625on_val > $o] :
( ( member1719118310on_val @ ( produc1846311919on_val @ ( produc1773146955on_val @ Xa_1 @ Xb_1 ) @ ( produc1773146955on_val @ Za @ Zb ) ) @ ( transi2104087144on_val @ R_4 ) )
=> ( ( ( produc1773146955on_val @ Xa_1 @ Xb_1 )
!= ( produc1773146955on_val @ Za @ Zb ) )
=> ~ ! [A_2: produc2088785539on_val,B_4: produc2088785539on_val] :
( ( member1719118310on_val @ ( produc1846311919on_val @ ( produc1773146955on_val @ Xa_1 @ Xb_1 ) @ ( produc1773146955on_val @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member1719118310on_val @ ( produc1846311919on_val @ ( produc1773146955on_val @ A_2 @ B_4 ) @ ( produc1773146955on_val @ Za @ Zb ) ) @ ( transi2104087144on_val @ R_4 ) ) ) ) ) ).
thf(fact_566_converse__rtranclE2,axiom,
! [Xa_1: product_prod_val_val,Xb_1: product_prod_val_val,Za: product_prod_val_val,Zb: product_prod_val_val,R_4: produc1049221769al_val > $o] :
( ( member384848502al_val @ ( produc94135935al_val @ ( produc1244920211al_val @ Xa_1 @ Xb_1 ) @ ( produc1244920211al_val @ Za @ Zb ) ) @ ( transi1927461808al_val @ R_4 ) )
=> ( ( ( produc1244920211al_val @ Xa_1 @ Xb_1 )
!= ( produc1244920211al_val @ Za @ Zb ) )
=> ~ ! [A_2: product_prod_val_val,B_4: product_prod_val_val] :
( ( member384848502al_val @ ( produc94135935al_val @ ( produc1244920211al_val @ Xa_1 @ Xb_1 ) @ ( produc1244920211al_val @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member384848502al_val @ ( produc94135935al_val @ ( produc1244920211al_val @ A_2 @ B_4 ) @ ( produc1244920211al_val @ Za @ Zb ) ) @ ( transi1927461808al_val @ R_4 ) ) ) ) ) ).
thf(fact_567_converse__rtranclE2,axiom,
! [Xa_1: produc1645268488al_val,Xb_1: produc1645268488al_val,Za: produc1645268488al_val,Zb: produc1645268488al_val,R_4: produc2128539405al_val > $o] :
( ( member23198458al_val @ ( produc370870787al_val @ ( produc1924279125al_val @ Xa_1 @ Xb_1 ) @ ( produc1924279125al_val @ Za @ Zb ) ) @ ( transi486718450al_val @ R_4 ) )
=> ( ( ( produc1924279125al_val @ Xa_1 @ Xb_1 )
!= ( produc1924279125al_val @ Za @ Zb ) )
=> ~ ! [A_2: produc1645268488al_val,B_4: produc1645268488al_val] :
( ( member23198458al_val @ ( produc370870787al_val @ ( produc1924279125al_val @ Xa_1 @ Xb_1 ) @ ( produc1924279125al_val @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member23198458al_val @ ( produc370870787al_val @ ( produc1924279125al_val @ A_2 @ B_4 ) @ ( produc1924279125al_val @ Za @ Zb ) ) @ ( transi486718450al_val @ R_4 ) ) ) ) ) ).
thf(fact_568_converse__rtranclE2,axiom,
! [Xa_1: produc662261637t_char,Xb_1: produc662261637t_char,Za: produc662261637t_char,Zb: produc662261637t_char,R_4: produc228386305t_char > $o] :
( ( member1105423342t_char @ ( produc627518711t_char @ ( produc1299387215t_char @ Xa_1 @ Xb_1 ) @ ( produc1299387215t_char @ Za @ Zb ) ) @ ( transi1803333868t_char @ R_4 ) )
=> ( ( ( produc1299387215t_char @ Xa_1 @ Xb_1 )
!= ( produc1299387215t_char @ Za @ Zb ) )
=> ~ ! [A_2: produc662261637t_char,B_4: produc662261637t_char] :
( ( member1105423342t_char @ ( produc627518711t_char @ ( produc1299387215t_char @ Xa_1 @ Xb_1 ) @ ( produc1299387215t_char @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member1105423342t_char @ ( produc627518711t_char @ ( produc1299387215t_char @ A_2 @ B_4 ) @ ( produc1299387215t_char @ Za @ Zb ) ) @ ( transi1803333868t_char @ R_4 ) ) ) ) ) ).
thf(fact_569_converse__rtranclE2,axiom,
! [Xa_1: produc220283002t_char,Xb_1: produc220283002t_char,Za: produc220283002t_char,Zb: produc220283002t_char,R_4: produc1367398613t_char > $o] :
( ( member371591362t_char @ ( produc913263563t_char @ ( produc57279289t_char @ Xa_1 @ Xb_1 ) @ ( produc57279289t_char @ Za @ Zb ) ) @ ( transi1452021206t_char @ R_4 ) )
=> ( ( ( produc57279289t_char @ Xa_1 @ Xb_1 )
!= ( produc57279289t_char @ Za @ Zb ) )
=> ~ ! [A_2: produc220283002t_char,B_4: produc220283002t_char] :
( ( member371591362t_char @ ( produc913263563t_char @ ( produc57279289t_char @ Xa_1 @ Xb_1 ) @ ( produc57279289t_char @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member371591362t_char @ ( produc913263563t_char @ ( produc57279289t_char @ A_2 @ B_4 ) @ ( produc57279289t_char @ Za @ Zb ) ) @ ( transi1452021206t_char @ R_4 ) ) ) ) ) ).
thf(fact_570_converse__rtranclE2,axiom,
! [Xa_1: produc1285161482t_char,Xb_1: produc1285161482t_char,Za: produc1285161482t_char,Zb: produc1285161482t_char,R_4: produc1404366365t_char > $o] :
( ( member1934728458t_char @ ( produc1288549779t_char @ ( produc24551831t_char @ Xa_1 @ Xb_1 ) @ ( produc24551831t_char @ Za @ Zb ) ) @ ( transi2072254650t_char @ R_4 ) )
=> ( ( ( produc24551831t_char @ Xa_1 @ Xb_1 )
!= ( produc24551831t_char @ Za @ Zb ) )
=> ~ ! [A_2: produc1285161482t_char,B_4: produc1285161482t_char] :
( ( member1934728458t_char @ ( produc1288549779t_char @ ( produc24551831t_char @ Xa_1 @ Xb_1 ) @ ( produc24551831t_char @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member1934728458t_char @ ( produc1288549779t_char @ ( produc24551831t_char @ A_2 @ B_4 ) @ ( produc24551831t_char @ Za @ Zb ) ) @ ( transi2072254650t_char @ R_4 ) ) ) ) ) ).
thf(fact_571_converse__rtranclE2,axiom,
! [Xa_1: produc618524391on_val,Xb_1: produc618524391on_val,Za: produc618524391on_val,Zb: produc618524391on_val,R_4: produc533730185on_val > $o] :
( ( member1650322294on_val @ ( produc1782214527on_val @ ( produc1347028499on_val @ Xa_1 @ Xb_1 ) @ ( produc1347028499on_val @ Za @ Zb ) ) @ ( transi94318640on_val @ R_4 ) )
=> ( ( ( produc1347028499on_val @ Xa_1 @ Xb_1 )
!= ( produc1347028499on_val @ Za @ Zb ) )
=> ~ ! [A_2: produc618524391on_val,B_4: produc618524391on_val] :
( ( member1650322294on_val @ ( produc1782214527on_val @ ( produc1347028499on_val @ Xa_1 @ Xb_1 ) @ ( produc1347028499on_val @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member1650322294on_val @ ( produc1782214527on_val @ ( produc1347028499on_val @ A_2 @ B_4 ) @ ( produc1347028499on_val @ Za @ Zb ) ) @ ( transi94318640on_val @ R_4 ) ) ) ) ) ).
thf(fact_572_converse__rtranclE2,axiom,
! [Xa_1: produc2090907612on_val,Xb_1: produc2090907612on_val,Za: produc2090907612on_val,Zb: produc2090907612on_val,R_4: produc93741661on_val > $o] :
( ( member1519152714on_val @ ( produc60772691on_val @ ( produc259392253on_val @ Xa_1 @ Xb_1 ) @ ( produc259392253on_val @ Za @ Zb ) ) @ ( transi289221018on_val @ R_4 ) )
=> ( ( ( produc259392253on_val @ Xa_1 @ Xb_1 )
!= ( produc259392253on_val @ Za @ Zb ) )
=> ~ ! [A_2: produc2090907612on_val,B_4: produc2090907612on_val] :
( ( member1519152714on_val @ ( produc60772691on_val @ ( produc259392253on_val @ Xa_1 @ Xb_1 ) @ ( produc259392253on_val @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member1519152714on_val @ ( produc60772691on_val @ ( produc259392253on_val @ A_2 @ B_4 ) @ ( produc259392253on_val @ Za @ Zb ) ) @ ( transi289221018on_val @ R_4 ) ) ) ) ) ).
thf(fact_573_converse__rtranclE2,axiom,
! [Xa_1: produc1746408499on_val,Xb_1: produc1746408499on_val,Za: produc1746408499on_val,Zb: produc1746408499on_val,R_4: produc1206428857on_val > $o] :
( ( member1735092902on_val @ ( produc900610479on_val @ ( produc345758123on_val @ Xa_1 @ Xb_1 ) @ ( produc345758123on_val @ Za @ Zb ) ) @ ( transi1461661768on_val @ R_4 ) )
=> ( ( ( produc345758123on_val @ Xa_1 @ Xb_1 )
!= ( produc345758123on_val @ Za @ Zb ) )
=> ~ ! [A_2: produc1746408499on_val,B_4: produc1746408499on_val] :
( ( member1735092902on_val @ ( produc900610479on_val @ ( produc345758123on_val @ Xa_1 @ Xb_1 ) @ ( produc345758123on_val @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member1735092902on_val @ ( produc900610479on_val @ ( produc345758123on_val @ A_2 @ B_4 ) @ ( produc345758123on_val @ Za @ Zb ) ) @ ( transi1461661768on_val @ R_4 ) ) ) ) ) ).
thf(fact_574_converse__rtranclE2,axiom,
! [Xa_1: produc1282892786on_val,Xb_1: produc1282892786on_val,Za: produc1282892786on_val,Zb: produc1282892786on_val,R_4: produc652964533on_val > $o] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ Xa_1 @ Xb_1 ) @ ( produc833389609on_val @ Za @ Zb ) ) @ ( transi130214086on_val @ R_4 ) )
=> ( ( ( produc833389609on_val @ Xa_1 @ Xb_1 )
!= ( produc833389609on_val @ Za @ Zb ) )
=> ~ ! [A_2: produc1282892786on_val,B_4: produc1282892786on_val] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ Xa_1 @ Xb_1 ) @ ( produc833389609on_val @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ A_2 @ B_4 ) @ ( produc833389609on_val @ Za @ Zb ) ) @ ( transi130214086on_val @ R_4 ) ) ) ) ) ).
thf(fact_575_converse__rtranclE2,axiom,
! [Xa_1: nat > option1728594148on_val,Xb_1: list_char > option_val,Za: nat > option1728594148on_val,Zb: list_char > option_val,R_4: produc1581780743on_val > $o] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ Xa_1 @ Xb_1 ) @ ( produc755559506on_val @ Za @ Zb ) ) @ ( transi466770671on_val @ R_4 ) )
=> ( ( ( produc755559506on_val @ Xa_1 @ Xb_1 )
!= ( produc755559506on_val @ Za @ Zb ) )
=> ~ ! [A_2: nat > option1728594148on_val,B_4: list_char > option_val] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ Xa_1 @ Xb_1 ) @ ( produc755559506on_val @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ A_2 @ B_4 ) @ ( produc755559506on_val @ Za @ Zb ) ) @ ( transi466770671on_val @ R_4 ) ) ) ) ) ).
thf(fact_576_converse__rtranclE2,axiom,
! [Xa_1: produc1180562163on_val,Xb_1: produc1180562163on_val,Za: produc1180562163on_val,Zb: produc1180562163on_val,R_4: produc1250491293on_val > $o] :
( ( member1145216138on_val @ ( produc1347028499on_val @ ( produc747700183on_val @ Xa_1 @ Xb_1 ) @ ( produc747700183on_val @ Za @ Zb ) ) @ ( transi1457397498on_val @ R_4 ) )
=> ( ( ( produc747700183on_val @ Xa_1 @ Xb_1 )
!= ( produc747700183on_val @ Za @ Zb ) )
=> ~ ! [A_2: produc1180562163on_val,B_4: produc1180562163on_val] :
( ( member1145216138on_val @ ( produc1347028499on_val @ ( produc747700183on_val @ Xa_1 @ Xb_1 ) @ ( produc747700183on_val @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member1145216138on_val @ ( produc1347028499on_val @ ( produc747700183on_val @ A_2 @ B_4 ) @ ( produc747700183on_val @ Za @ Zb ) ) @ ( transi1457397498on_val @ R_4 ) ) ) ) ) ).
thf(fact_577_converse__rtranclE2,axiom,
! [Xa_1: list_list_char,Xb_1: produc220283002t_char,Za: list_list_char,Zb: produc220283002t_char,R_4: produc349695911t_char > $o] :
( ( member1420286996t_char @ ( produc24551831t_char @ ( produc921874948t_char @ Xa_1 @ Xb_1 ) @ ( produc921874948t_char @ Za @ Zb ) ) @ ( transi122195895t_char @ R_4 ) )
=> ( ( ( produc921874948t_char @ Xa_1 @ Xb_1 )
!= ( produc921874948t_char @ Za @ Zb ) )
=> ~ ! [A_2: list_list_char,B_4: produc220283002t_char] :
( ( member1420286996t_char @ ( produc24551831t_char @ ( produc921874948t_char @ Xa_1 @ Xb_1 ) @ ( produc921874948t_char @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member1420286996t_char @ ( produc24551831t_char @ ( produc921874948t_char @ A_2 @ B_4 ) @ ( produc921874948t_char @ Za @ Zb ) ) @ ( transi122195895t_char @ R_4 ) ) ) ) ) ).
thf(fact_578_converse__rtranclE2,axiom,
! [Xa_1: list_ty,Xb_1: produc662261637t_char,Za: list_ty,Zb: produc662261637t_char,R_4: produc1406897475t_char > $o] :
( ( member125098544t_char @ ( produc57279289t_char @ ( produc1909267824t_char @ Xa_1 @ Xb_1 ) @ ( produc1909267824t_char @ Za @ Zb ) ) @ ( transi1257872013t_char @ R_4 ) )
=> ( ( ( produc1909267824t_char @ Xa_1 @ Xb_1 )
!= ( produc1909267824t_char @ Za @ Zb ) )
=> ~ ! [A_2: list_ty,B_4: produc662261637t_char] :
( ( member125098544t_char @ ( produc57279289t_char @ ( produc1909267824t_char @ Xa_1 @ Xb_1 ) @ ( produc1909267824t_char @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member125098544t_char @ ( produc57279289t_char @ ( produc1909267824t_char @ A_2 @ B_4 ) @ ( produc1909267824t_char @ Za @ Zb ) ) @ ( transi1257872013t_char @ R_4 ) ) ) ) ) ).
thf(fact_579_converse__rtranclE2,axiom,
! [Xa_1: list_val,Xb_1: exp_list_char,Za: list_val,Zb: exp_list_char,R_4: produc1826280281t_char > $o] :
( ( member1161907014t_char @ ( produc1299387215t_char @ ( produc1916172923t_char @ Xa_1 @ Xb_1 ) @ ( produc1916172923t_char @ Za @ Zb ) ) @ ( transi1789604888t_char @ R_4 ) )
=> ( ( ( produc1916172923t_char @ Xa_1 @ Xb_1 )
!= ( produc1916172923t_char @ Za @ Zb ) )
=> ~ ! [A_2: list_val,B_4: exp_list_char] :
( ( member1161907014t_char @ ( produc1299387215t_char @ ( produc1916172923t_char @ Xa_1 @ Xb_1 ) @ ( produc1916172923t_char @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member1161907014t_char @ ( produc1299387215t_char @ ( produc1916172923t_char @ A_2 @ B_4 ) @ ( produc1916172923t_char @ Za @ Zb ) ) @ ( transi1789604888t_char @ R_4 ) ) ) ) ) ).
thf(fact_580_converse__rtranclE2,axiom,
! [Xa_1: bop,Xb_1: product_prod_val_val,Za: bop,Zb: product_prod_val_val,R_4: produc630464863al_val > $o] :
( ( member1732271180al_val @ ( produc1924279125al_val @ ( produc621191550al_val @ Xa_1 @ Xb_1 ) @ ( produc621191550al_val @ Za @ Zb ) ) @ ( transi1906258203al_val @ R_4 ) )
=> ( ( ( produc621191550al_val @ Xa_1 @ Xb_1 )
!= ( produc621191550al_val @ Za @ Zb ) )
=> ~ ! [A_2: bop,B_4: product_prod_val_val] :
( ( member1732271180al_val @ ( produc1924279125al_val @ ( produc621191550al_val @ Xa_1 @ Xb_1 ) @ ( produc621191550al_val @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member1732271180al_val @ ( produc1924279125al_val @ ( produc621191550al_val @ A_2 @ B_4 ) @ ( produc621191550al_val @ Za @ Zb ) ) @ ( transi1906258203al_val @ R_4 ) ) ) ) ) ).
thf(fact_581_converse__rtranclE2,axiom,
! [Xa_1: val,Xb_1: val,Za: val,Zb: val,R_4: produc800118557al_val > $o] :
( ( member837208074al_val @ ( produc1244920211al_val @ ( product_Pair_val_val @ Xa_1 @ Xb_1 ) @ ( product_Pair_val_val @ Za @ Zb ) ) @ ( transi1423755450al_val @ R_4 ) )
=> ( ( ( product_Pair_val_val @ Xa_1 @ Xb_1 )
!= ( product_Pair_val_val @ Za @ Zb ) )
=> ~ ! [A_2: val,B_4: val] :
( ( member837208074al_val @ ( produc1244920211al_val @ ( product_Pair_val_val @ Xa_1 @ Xb_1 ) @ ( product_Pair_val_val @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member837208074al_val @ ( produc1244920211al_val @ ( product_Pair_val_val @ A_2 @ B_4 ) @ ( product_Pair_val_val @ Za @ Zb ) ) @ ( transi1423755450al_val @ R_4 ) ) ) ) ) ).
thf(fact_582_converse__rtranclE2,axiom,
! [Xa_1: list_char,Xb_1: produc1278157519t_char > option_val,Za: list_char,Zb: produc1278157519t_char > option_val,R_4: produc1368416213on_val > $o] :
( ( member1235075778on_val @ ( produc1773146955on_val @ ( produc926070009on_val @ Xa_1 @ Xb_1 ) @ ( produc926070009on_val @ Za @ Zb ) ) @ ( transi1669211542on_val @ R_4 ) )
=> ( ( ( produc926070009on_val @ Xa_1 @ Xb_1 )
!= ( produc926070009on_val @ Za @ Zb ) )
=> ~ ! [A_2: list_char,B_4: produc1278157519t_char > option_val] :
( ( member1235075778on_val @ ( produc1773146955on_val @ ( produc926070009on_val @ Xa_1 @ Xb_1 ) @ ( produc926070009on_val @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member1235075778on_val @ ( produc1773146955on_val @ ( produc926070009on_val @ A_2 @ B_4 ) @ ( produc926070009on_val @ Za @ Zb ) ) @ ( transi1669211542on_val @ R_4 ) ) ) ) ) ).
thf(fact_583_converse__rtranclE2,axiom,
! [Xa_1: list_char,Xb_1: list_char,Za: list_char,Zb: list_char,R_4: produc1350825965t_char > $o] :
( ( member794220506t_char @ ( produc2080520419t_char @ ( produc5062597t_char @ Xa_1 @ Xb_1 ) @ ( produc5062597t_char @ Za @ Zb ) ) @ ( transi1095029602t_char @ R_4 ) )
=> ( ( ( produc5062597t_char @ Xa_1 @ Xb_1 )
!= ( produc5062597t_char @ Za @ Zb ) )
=> ~ ! [A_2: list_char,B_4: list_char] :
( ( member794220506t_char @ ( produc2080520419t_char @ ( produc5062597t_char @ Xa_1 @ Xb_1 ) @ ( produc5062597t_char @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member794220506t_char @ ( produc2080520419t_char @ ( produc5062597t_char @ A_2 @ B_4 ) @ ( produc5062597t_char @ Za @ Zb ) ) @ ( transi1095029602t_char @ R_4 ) ) ) ) ) ).
thf(fact_584_converse__rtranclE2,axiom,
! [Xa_1: list_list_char,Xb_1: exp_list_char,Za: list_list_char,Zb: exp_list_char,R_4: produc1534059751t_char > $o] :
( ( member1999287380t_char @ ( produc1897818327t_char @ ( produc1147572817t_char @ Xa_1 @ Xb_1 ) @ ( produc1147572817t_char @ Za @ Zb ) ) @ ( transi198989188t_char @ R_4 ) )
=> ( ( ( produc1147572817t_char @ Xa_1 @ Xb_1 )
!= ( produc1147572817t_char @ Za @ Zb ) )
=> ~ ! [A_2: list_list_char,B_4: exp_list_char] :
( ( member1999287380t_char @ ( produc1897818327t_char @ ( produc1147572817t_char @ Xa_1 @ Xb_1 ) @ ( produc1147572817t_char @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member1999287380t_char @ ( produc1897818327t_char @ ( produc1147572817t_char @ A_2 @ B_4 ) @ ( produc1147572817t_char @ Za @ Zb ) ) @ ( transi198989188t_char @ R_4 ) ) ) ) ) ).
thf(fact_585_converse__rtranclE2,axiom,
! [Xa_1: exp_list_char,Xb_1: produc2090907612on_val,Za: exp_list_char,Zb: produc2090907612on_val,R_4: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ Xa_1 @ Xb_1 ) @ ( produc235638504on_val @ Za @ Zb ) ) @ ( transi2118771717on_val @ R_4 ) )
=> ( ( ( produc235638504on_val @ Xa_1 @ Xb_1 )
!= ( produc235638504on_val @ Za @ Zb ) )
=> ~ ! [A_2: exp_list_char,B_4: produc2090907612on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ Xa_1 @ Xb_1 ) @ ( produc235638504on_val @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A_2 @ B_4 ) @ ( produc235638504on_val @ Za @ Zb ) ) @ ( transi2118771717on_val @ R_4 ) ) ) ) ) ).
thf(fact_586_converse__rtranclE2,axiom,
! [Xa_1: list_exp_list_char,Xb_1: produc2090907612on_val,Za: list_exp_list_char,Zb: produc2090907612on_val,R_4: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ Xa_1 @ Xb_1 ) @ ( produc1302104557on_val @ Za @ Zb ) ) @ ( transi808828192on_val @ R_4 ) )
=> ( ( ( produc1302104557on_val @ Xa_1 @ Xb_1 )
!= ( produc1302104557on_val @ Za @ Zb ) )
=> ~ ! [A_2: list_exp_list_char,B_4: produc2090907612on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ Xa_1 @ Xb_1 ) @ ( produc1302104557on_val @ A_2 @ B_4 ) ) @ R_4 )
=> ~ ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ A_2 @ B_4 ) @ ( produc1302104557on_val @ Za @ Zb ) ) @ ( transi808828192on_val @ R_4 ) ) ) ) ) ).
thf(fact_587_rtrancl__induct,axiom,
! [P_2: produc809539159t_char > $o,A_72: produc809539159t_char,B_3: produc809539159t_char,R_3: produc1534059751t_char > $o] :
( ( member1999287380t_char @ ( produc1897818327t_char @ A_72 @ B_3 ) @ ( transi198989188t_char @ R_3 ) )
=> ( ( P_2 @ A_72 )
=> ( ! [Y_4: produc809539159t_char,Z: produc809539159t_char] :
( ( member1999287380t_char @ ( produc1897818327t_char @ A_72 @ Y_4 ) @ ( transi198989188t_char @ R_3 ) )
=> ( ( member1999287380t_char @ ( produc1897818327t_char @ Y_4 @ Z ) @ R_3 )
=> ( ( P_2 @ Y_4 )
=> ( P_2 @ Z ) ) ) )
=> ( P_2 @ B_3 ) ) ) ) ).
thf(fact_588_rtrancl__induct,axiom,
! [P_2: produc1278157519t_char > $o,A_72: produc1278157519t_char,B_3: produc1278157519t_char,R_3: produc1350825965t_char > $o] :
( ( member794220506t_char @ ( produc2080520419t_char @ A_72 @ B_3 ) @ ( transi1095029602t_char @ R_3 ) )
=> ( ( P_2 @ A_72 )
=> ( ! [Y_4: produc1278157519t_char,Z: produc1278157519t_char] :
( ( member794220506t_char @ ( produc2080520419t_char @ A_72 @ Y_4 ) @ ( transi1095029602t_char @ R_3 ) )
=> ( ( member794220506t_char @ ( produc2080520419t_char @ Y_4 @ Z ) @ R_3 )
=> ( ( P_2 @ Y_4 )
=> ( P_2 @ Z ) ) ) )
=> ( P_2 @ B_3 ) ) ) ) ).
thf(fact_589_rtrancl__induct,axiom,
! [P_2: produc2088785539on_val > $o,A_72: produc2088785539on_val,B_3: produc2088785539on_val,R_3: produc1368416213on_val > $o] :
( ( member1235075778on_val @ ( produc1773146955on_val @ A_72 @ B_3 ) @ ( transi1669211542on_val @ R_3 ) )
=> ( ( P_2 @ A_72 )
=> ( ! [Y_4: produc2088785539on_val,Z: produc2088785539on_val] :
( ( member1235075778on_val @ ( produc1773146955on_val @ A_72 @ Y_4 ) @ ( transi1669211542on_val @ R_3 ) )
=> ( ( member1235075778on_val @ ( produc1773146955on_val @ Y_4 @ Z ) @ R_3 )
=> ( ( P_2 @ Y_4 )
=> ( P_2 @ Z ) ) ) )
=> ( P_2 @ B_3 ) ) ) ) ).
thf(fact_590_rtrancl__induct,axiom,
! [P_2: product_prod_val_val > $o,A_72: product_prod_val_val,B_3: product_prod_val_val,R_3: produc800118557al_val > $o] :
( ( member837208074al_val @ ( produc1244920211al_val @ A_72 @ B_3 ) @ ( transi1423755450al_val @ R_3 ) )
=> ( ( P_2 @ A_72 )
=> ( ! [Y_4: product_prod_val_val,Z: product_prod_val_val] :
( ( member837208074al_val @ ( produc1244920211al_val @ A_72 @ Y_4 ) @ ( transi1423755450al_val @ R_3 ) )
=> ( ( member837208074al_val @ ( produc1244920211al_val @ Y_4 @ Z ) @ R_3 )
=> ( ( P_2 @ Y_4 )
=> ( P_2 @ Z ) ) ) )
=> ( P_2 @ B_3 ) ) ) ) ).
thf(fact_591_rtrancl__induct,axiom,
! [P_2: produc1645268488al_val > $o,A_72: produc1645268488al_val,B_3: produc1645268488al_val,R_3: produc630464863al_val > $o] :
( ( member1732271180al_val @ ( produc1924279125al_val @ A_72 @ B_3 ) @ ( transi1906258203al_val @ R_3 ) )
=> ( ( P_2 @ A_72 )
=> ( ! [Y_4: produc1645268488al_val,Z: produc1645268488al_val] :
( ( member1732271180al_val @ ( produc1924279125al_val @ A_72 @ Y_4 ) @ ( transi1906258203al_val @ R_3 ) )
=> ( ( member1732271180al_val @ ( produc1924279125al_val @ Y_4 @ Z ) @ R_3 )
=> ( ( P_2 @ Y_4 )
=> ( P_2 @ Z ) ) ) )
=> ( P_2 @ B_3 ) ) ) ) ).
thf(fact_592_rtrancl__induct,axiom,
! [P_2: produc662261637t_char > $o,A_72: produc662261637t_char,B_3: produc662261637t_char,R_3: produc1826280281t_char > $o] :
( ( member1161907014t_char @ ( produc1299387215t_char @ A_72 @ B_3 ) @ ( transi1789604888t_char @ R_3 ) )
=> ( ( P_2 @ A_72 )
=> ( ! [Y_4: produc662261637t_char,Z: produc662261637t_char] :
( ( member1161907014t_char @ ( produc1299387215t_char @ A_72 @ Y_4 ) @ ( transi1789604888t_char @ R_3 ) )
=> ( ( member1161907014t_char @ ( produc1299387215t_char @ Y_4 @ Z ) @ R_3 )
=> ( ( P_2 @ Y_4 )
=> ( P_2 @ Z ) ) ) )
=> ( P_2 @ B_3 ) ) ) ) ).
thf(fact_593_rtrancl__induct,axiom,
! [P_2: produc220283002t_char > $o,A_72: produc220283002t_char,B_3: produc220283002t_char,R_3: produc1406897475t_char > $o] :
( ( member125098544t_char @ ( produc57279289t_char @ A_72 @ B_3 ) @ ( transi1257872013t_char @ R_3 ) )
=> ( ( P_2 @ A_72 )
=> ( ! [Y_4: produc220283002t_char,Z: produc220283002t_char] :
( ( member125098544t_char @ ( produc57279289t_char @ A_72 @ Y_4 ) @ ( transi1257872013t_char @ R_3 ) )
=> ( ( member125098544t_char @ ( produc57279289t_char @ Y_4 @ Z ) @ R_3 )
=> ( ( P_2 @ Y_4 )
=> ( P_2 @ Z ) ) ) )
=> ( P_2 @ B_3 ) ) ) ) ).
thf(fact_594_rtrancl__induct,axiom,
! [P_2: produc1285161482t_char > $o,A_72: produc1285161482t_char,B_3: produc1285161482t_char,R_3: produc349695911t_char > $o] :
( ( member1420286996t_char @ ( produc24551831t_char @ A_72 @ B_3 ) @ ( transi122195895t_char @ R_3 ) )
=> ( ( P_2 @ A_72 )
=> ( ! [Y_4: produc1285161482t_char,Z: produc1285161482t_char] :
( ( member1420286996t_char @ ( produc24551831t_char @ A_72 @ Y_4 ) @ ( transi122195895t_char @ R_3 ) )
=> ( ( member1420286996t_char @ ( produc24551831t_char @ Y_4 @ Z ) @ R_3 )
=> ( ( P_2 @ Y_4 )
=> ( P_2 @ Z ) ) ) )
=> ( P_2 @ B_3 ) ) ) ) ).
thf(fact_595_rtrancl__induct,axiom,
! [P_2: produc618524391on_val > $o,A_72: produc618524391on_val,B_3: produc618524391on_val,R_3: produc1250491293on_val > $o] :
( ( member1145216138on_val @ ( produc1347028499on_val @ A_72 @ B_3 ) @ ( transi1457397498on_val @ R_3 ) )
=> ( ( P_2 @ A_72 )
=> ( ! [Y_4: produc618524391on_val,Z: produc618524391on_val] :
( ( member1145216138on_val @ ( produc1347028499on_val @ A_72 @ Y_4 ) @ ( transi1457397498on_val @ R_3 ) )
=> ( ( member1145216138on_val @ ( produc1347028499on_val @ Y_4 @ Z ) @ R_3 )
=> ( ( P_2 @ Y_4 )
=> ( P_2 @ Z ) ) ) )
=> ( P_2 @ B_3 ) ) ) ) ).
thf(fact_596_rtrancl__induct,axiom,
! [P_2: produc2090907612on_val > $o,A_72: produc2090907612on_val,B_3: produc2090907612on_val,R_3: produc1581780743on_val > $o] :
( ( member565037556on_val @ ( produc259392253on_val @ A_72 @ B_3 ) @ ( transi466770671on_val @ R_3 ) )
=> ( ( P_2 @ A_72 )
=> ( ! [Y_4: produc2090907612on_val,Z: produc2090907612on_val] :
( ( member565037556on_val @ ( produc259392253on_val @ A_72 @ Y_4 ) @ ( transi466770671on_val @ R_3 ) )
=> ( ( member565037556on_val @ ( produc259392253on_val @ Y_4 @ Z ) @ R_3 )
=> ( ( P_2 @ Y_4 )
=> ( P_2 @ Z ) ) ) )
=> ( P_2 @ B_3 ) ) ) ) ).
thf(fact_597_rtrancl__induct,axiom,
! [P_2: produc1746408499on_val > $o,A_72: produc1746408499on_val,B_3: produc1746408499on_val,R_3: produc652964533on_val > $o] :
( ( member1714424482on_val @ ( produc345758123on_val @ A_72 @ B_3 ) @ ( transi130214086on_val @ R_3 ) )
=> ( ( P_2 @ A_72 )
=> ( ! [Y_4: produc1746408499on_val,Z: produc1746408499on_val] :
( ( member1714424482on_val @ ( produc345758123on_val @ A_72 @ Y_4 ) @ ( transi130214086on_val @ R_3 ) )
=> ( ( member1714424482on_val @ ( produc345758123on_val @ Y_4 @ Z ) @ R_3 )
=> ( ( P_2 @ Y_4 )
=> ( P_2 @ Z ) ) ) )
=> ( P_2 @ B_3 ) ) ) ) ).
thf(fact_598_rtrancl__induct,axiom,
! [P_2: val > $o,A_72: val,B_3: val,R_3: product_prod_val_val > $o] :
( ( member649088532al_val @ ( product_Pair_val_val @ A_72 @ B_3 ) @ ( transi935034983cl_val @ R_3 ) )
=> ( ( P_2 @ A_72 )
=> ( ! [Y_4: val,Z: val] :
( ( member649088532al_val @ ( product_Pair_val_val @ A_72 @ Y_4 ) @ ( transi935034983cl_val @ R_3 ) )
=> ( ( member649088532al_val @ ( product_Pair_val_val @ Y_4 @ Z ) @ R_3 )
=> ( ( P_2 @ Y_4 )
=> ( P_2 @ Z ) ) ) )
=> ( P_2 @ B_3 ) ) ) ) ).
thf(fact_599_rtrancl__induct,axiom,
! [P_2: produc1282892786on_val > $o,A_72: produc1282892786on_val,B_3: produc1282892786on_val,R_3: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ A_72 @ B_3 ) @ ( transi2118771717on_val @ R_3 ) )
=> ( ( P_2 @ A_72 )
=> ( ! [Y_4: produc1282892786on_val,Z: produc1282892786on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ A_72 @ Y_4 ) @ ( transi2118771717on_val @ R_3 ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ Y_4 @ Z ) @ R_3 )
=> ( ( P_2 @ Y_4 )
=> ( P_2 @ Z ) ) ) )
=> ( P_2 @ B_3 ) ) ) ) ).
thf(fact_600_rtrancl__induct,axiom,
! [P_2: produc1180562163on_val > $o,A_72: produc1180562163on_val,B_3: produc1180562163on_val,R_3: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ A_72 @ B_3 ) @ ( transi808828192on_val @ R_3 ) )
=> ( ( P_2 @ A_72 )
=> ( ! [Y_4: produc1180562163on_val,Z: produc1180562163on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ A_72 @ Y_4 ) @ ( transi808828192on_val @ R_3 ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ Y_4 @ Z ) @ R_3 )
=> ( ( P_2 @ Y_4 )
=> ( P_2 @ Z ) ) ) )
=> ( P_2 @ B_3 ) ) ) ) ).
thf(fact_601_rtrancl__induct,axiom,
! [P_2: list_char > $o,A_72: list_char,B_3: list_char,R_3: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ A_72 @ B_3 ) @ ( transi1395422419t_char @ R_3 ) )
=> ( ( P_2 @ A_72 )
=> ( ! [Y_4: list_char,Z: list_char] :
( ( member1251428284t_char @ ( produc5062597t_char @ A_72 @ Y_4 ) @ ( transi1395422419t_char @ R_3 ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ Y_4 @ Z ) @ R_3 )
=> ( ( P_2 @ Y_4 )
=> ( P_2 @ Z ) ) ) )
=> ( P_2 @ B_3 ) ) ) ) ).
thf(fact_602_converse__rtrancl__induct,axiom,
! [P_1: produc809539159t_char > $o,A_71: produc809539159t_char,B_2: produc809539159t_char,R_2: produc1534059751t_char > $o] :
( ( member1999287380t_char @ ( produc1897818327t_char @ A_71 @ B_2 ) @ ( transi198989188t_char @ R_2 ) )
=> ( ( P_1 @ B_2 )
=> ( ! [Y_4: produc809539159t_char,Z: produc809539159t_char] :
( ( member1999287380t_char @ ( produc1897818327t_char @ Y_4 @ Z ) @ R_2 )
=> ( ( member1999287380t_char @ ( produc1897818327t_char @ Z @ B_2 ) @ ( transi198989188t_char @ R_2 ) )
=> ( ( P_1 @ Z )
=> ( P_1 @ Y_4 ) ) ) )
=> ( P_1 @ A_71 ) ) ) ) ).
thf(fact_603_converse__rtrancl__induct,axiom,
! [P_1: produc1278157519t_char > $o,A_71: produc1278157519t_char,B_2: produc1278157519t_char,R_2: produc1350825965t_char > $o] :
( ( member794220506t_char @ ( produc2080520419t_char @ A_71 @ B_2 ) @ ( transi1095029602t_char @ R_2 ) )
=> ( ( P_1 @ B_2 )
=> ( ! [Y_4: produc1278157519t_char,Z: produc1278157519t_char] :
( ( member794220506t_char @ ( produc2080520419t_char @ Y_4 @ Z ) @ R_2 )
=> ( ( member794220506t_char @ ( produc2080520419t_char @ Z @ B_2 ) @ ( transi1095029602t_char @ R_2 ) )
=> ( ( P_1 @ Z )
=> ( P_1 @ Y_4 ) ) ) )
=> ( P_1 @ A_71 ) ) ) ) ).
thf(fact_604_converse__rtrancl__induct,axiom,
! [P_1: produc2088785539on_val > $o,A_71: produc2088785539on_val,B_2: produc2088785539on_val,R_2: produc1368416213on_val > $o] :
( ( member1235075778on_val @ ( produc1773146955on_val @ A_71 @ B_2 ) @ ( transi1669211542on_val @ R_2 ) )
=> ( ( P_1 @ B_2 )
=> ( ! [Y_4: produc2088785539on_val,Z: produc2088785539on_val] :
( ( member1235075778on_val @ ( produc1773146955on_val @ Y_4 @ Z ) @ R_2 )
=> ( ( member1235075778on_val @ ( produc1773146955on_val @ Z @ B_2 ) @ ( transi1669211542on_val @ R_2 ) )
=> ( ( P_1 @ Z )
=> ( P_1 @ Y_4 ) ) ) )
=> ( P_1 @ A_71 ) ) ) ) ).
thf(fact_605_converse__rtrancl__induct,axiom,
! [P_1: product_prod_val_val > $o,A_71: product_prod_val_val,B_2: product_prod_val_val,R_2: produc800118557al_val > $o] :
( ( member837208074al_val @ ( produc1244920211al_val @ A_71 @ B_2 ) @ ( transi1423755450al_val @ R_2 ) )
=> ( ( P_1 @ B_2 )
=> ( ! [Y_4: product_prod_val_val,Z: product_prod_val_val] :
( ( member837208074al_val @ ( produc1244920211al_val @ Y_4 @ Z ) @ R_2 )
=> ( ( member837208074al_val @ ( produc1244920211al_val @ Z @ B_2 ) @ ( transi1423755450al_val @ R_2 ) )
=> ( ( P_1 @ Z )
=> ( P_1 @ Y_4 ) ) ) )
=> ( P_1 @ A_71 ) ) ) ) ).
thf(fact_606_converse__rtrancl__induct,axiom,
! [P_1: produc1645268488al_val > $o,A_71: produc1645268488al_val,B_2: produc1645268488al_val,R_2: produc630464863al_val > $o] :
( ( member1732271180al_val @ ( produc1924279125al_val @ A_71 @ B_2 ) @ ( transi1906258203al_val @ R_2 ) )
=> ( ( P_1 @ B_2 )
=> ( ! [Y_4: produc1645268488al_val,Z: produc1645268488al_val] :
( ( member1732271180al_val @ ( produc1924279125al_val @ Y_4 @ Z ) @ R_2 )
=> ( ( member1732271180al_val @ ( produc1924279125al_val @ Z @ B_2 ) @ ( transi1906258203al_val @ R_2 ) )
=> ( ( P_1 @ Z )
=> ( P_1 @ Y_4 ) ) ) )
=> ( P_1 @ A_71 ) ) ) ) ).
thf(fact_607_converse__rtrancl__induct,axiom,
! [P_1: produc662261637t_char > $o,A_71: produc662261637t_char,B_2: produc662261637t_char,R_2: produc1826280281t_char > $o] :
( ( member1161907014t_char @ ( produc1299387215t_char @ A_71 @ B_2 ) @ ( transi1789604888t_char @ R_2 ) )
=> ( ( P_1 @ B_2 )
=> ( ! [Y_4: produc662261637t_char,Z: produc662261637t_char] :
( ( member1161907014t_char @ ( produc1299387215t_char @ Y_4 @ Z ) @ R_2 )
=> ( ( member1161907014t_char @ ( produc1299387215t_char @ Z @ B_2 ) @ ( transi1789604888t_char @ R_2 ) )
=> ( ( P_1 @ Z )
=> ( P_1 @ Y_4 ) ) ) )
=> ( P_1 @ A_71 ) ) ) ) ).
thf(fact_608_converse__rtrancl__induct,axiom,
! [P_1: produc220283002t_char > $o,A_71: produc220283002t_char,B_2: produc220283002t_char,R_2: produc1406897475t_char > $o] :
( ( member125098544t_char @ ( produc57279289t_char @ A_71 @ B_2 ) @ ( transi1257872013t_char @ R_2 ) )
=> ( ( P_1 @ B_2 )
=> ( ! [Y_4: produc220283002t_char,Z: produc220283002t_char] :
( ( member125098544t_char @ ( produc57279289t_char @ Y_4 @ Z ) @ R_2 )
=> ( ( member125098544t_char @ ( produc57279289t_char @ Z @ B_2 ) @ ( transi1257872013t_char @ R_2 ) )
=> ( ( P_1 @ Z )
=> ( P_1 @ Y_4 ) ) ) )
=> ( P_1 @ A_71 ) ) ) ) ).
thf(fact_609_converse__rtrancl__induct,axiom,
! [P_1: produc1285161482t_char > $o,A_71: produc1285161482t_char,B_2: produc1285161482t_char,R_2: produc349695911t_char > $o] :
( ( member1420286996t_char @ ( produc24551831t_char @ A_71 @ B_2 ) @ ( transi122195895t_char @ R_2 ) )
=> ( ( P_1 @ B_2 )
=> ( ! [Y_4: produc1285161482t_char,Z: produc1285161482t_char] :
( ( member1420286996t_char @ ( produc24551831t_char @ Y_4 @ Z ) @ R_2 )
=> ( ( member1420286996t_char @ ( produc24551831t_char @ Z @ B_2 ) @ ( transi122195895t_char @ R_2 ) )
=> ( ( P_1 @ Z )
=> ( P_1 @ Y_4 ) ) ) )
=> ( P_1 @ A_71 ) ) ) ) ).
thf(fact_610_converse__rtrancl__induct,axiom,
! [P_1: produc618524391on_val > $o,A_71: produc618524391on_val,B_2: produc618524391on_val,R_2: produc1250491293on_val > $o] :
( ( member1145216138on_val @ ( produc1347028499on_val @ A_71 @ B_2 ) @ ( transi1457397498on_val @ R_2 ) )
=> ( ( P_1 @ B_2 )
=> ( ! [Y_4: produc618524391on_val,Z: produc618524391on_val] :
( ( member1145216138on_val @ ( produc1347028499on_val @ Y_4 @ Z ) @ R_2 )
=> ( ( member1145216138on_val @ ( produc1347028499on_val @ Z @ B_2 ) @ ( transi1457397498on_val @ R_2 ) )
=> ( ( P_1 @ Z )
=> ( P_1 @ Y_4 ) ) ) )
=> ( P_1 @ A_71 ) ) ) ) ).
thf(fact_611_converse__rtrancl__induct,axiom,
! [P_1: produc2090907612on_val > $o,A_71: produc2090907612on_val,B_2: produc2090907612on_val,R_2: produc1581780743on_val > $o] :
( ( member565037556on_val @ ( produc259392253on_val @ A_71 @ B_2 ) @ ( transi466770671on_val @ R_2 ) )
=> ( ( P_1 @ B_2 )
=> ( ! [Y_4: produc2090907612on_val,Z: produc2090907612on_val] :
( ( member565037556on_val @ ( produc259392253on_val @ Y_4 @ Z ) @ R_2 )
=> ( ( member565037556on_val @ ( produc259392253on_val @ Z @ B_2 ) @ ( transi466770671on_val @ R_2 ) )
=> ( ( P_1 @ Z )
=> ( P_1 @ Y_4 ) ) ) )
=> ( P_1 @ A_71 ) ) ) ) ).
thf(fact_612_converse__rtrancl__induct,axiom,
! [P_1: produc1746408499on_val > $o,A_71: produc1746408499on_val,B_2: produc1746408499on_val,R_2: produc652964533on_val > $o] :
( ( member1714424482on_val @ ( produc345758123on_val @ A_71 @ B_2 ) @ ( transi130214086on_val @ R_2 ) )
=> ( ( P_1 @ B_2 )
=> ( ! [Y_4: produc1746408499on_val,Z: produc1746408499on_val] :
( ( member1714424482on_val @ ( produc345758123on_val @ Y_4 @ Z ) @ R_2 )
=> ( ( member1714424482on_val @ ( produc345758123on_val @ Z @ B_2 ) @ ( transi130214086on_val @ R_2 ) )
=> ( ( P_1 @ Z )
=> ( P_1 @ Y_4 ) ) ) )
=> ( P_1 @ A_71 ) ) ) ) ).
thf(fact_613_converse__rtrancl__induct,axiom,
! [P_1: val > $o,A_71: val,B_2: val,R_2: product_prod_val_val > $o] :
( ( member649088532al_val @ ( product_Pair_val_val @ A_71 @ B_2 ) @ ( transi935034983cl_val @ R_2 ) )
=> ( ( P_1 @ B_2 )
=> ( ! [Y_4: val,Z: val] :
( ( member649088532al_val @ ( product_Pair_val_val @ Y_4 @ Z ) @ R_2 )
=> ( ( member649088532al_val @ ( product_Pair_val_val @ Z @ B_2 ) @ ( transi935034983cl_val @ R_2 ) )
=> ( ( P_1 @ Z )
=> ( P_1 @ Y_4 ) ) ) )
=> ( P_1 @ A_71 ) ) ) ) ).
thf(fact_614_converse__rtrancl__induct,axiom,
! [P_1: produc1282892786on_val > $o,A_71: produc1282892786on_val,B_2: produc1282892786on_val,R_2: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ A_71 @ B_2 ) @ ( transi2118771717on_val @ R_2 ) )
=> ( ( P_1 @ B_2 )
=> ( ! [Y_4: produc1282892786on_val,Z: produc1282892786on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ Y_4 @ Z ) @ R_2 )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ Z @ B_2 ) @ ( transi2118771717on_val @ R_2 ) )
=> ( ( P_1 @ Z )
=> ( P_1 @ Y_4 ) ) ) )
=> ( P_1 @ A_71 ) ) ) ) ).
thf(fact_615_converse__rtrancl__induct,axiom,
! [P_1: produc1180562163on_val > $o,A_71: produc1180562163on_val,B_2: produc1180562163on_val,R_2: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ A_71 @ B_2 ) @ ( transi808828192on_val @ R_2 ) )
=> ( ( P_1 @ B_2 )
=> ( ! [Y_4: produc1180562163on_val,Z: produc1180562163on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ Y_4 @ Z ) @ R_2 )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ Z @ B_2 ) @ ( transi808828192on_val @ R_2 ) )
=> ( ( P_1 @ Z )
=> ( P_1 @ Y_4 ) ) ) )
=> ( P_1 @ A_71 ) ) ) ) ).
thf(fact_616_converse__rtrancl__induct,axiom,
! [P_1: list_char > $o,A_71: list_char,B_2: list_char,R_2: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ A_71 @ B_2 ) @ ( transi1395422419t_char @ R_2 ) )
=> ( ( P_1 @ B_2 )
=> ( ! [Y_4: list_char,Z: list_char] :
( ( member1251428284t_char @ ( produc5062597t_char @ Y_4 @ Z ) @ R_2 )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ Z @ B_2 ) @ ( transi1395422419t_char @ R_2 ) )
=> ( ( P_1 @ Z )
=> ( P_1 @ Y_4 ) ) ) )
=> ( P_1 @ A_71 ) ) ) ) ).
thf(fact_617_converse__rtranclE,axiom,
! [X_12: produc809539159t_char,Z_1: produc809539159t_char,R_1: produc1534059751t_char > $o] :
( ( member1999287380t_char @ ( produc1897818327t_char @ X_12 @ Z_1 ) @ ( transi198989188t_char @ R_1 ) )
=> ( ( X_12 != Z_1 )
=> ~ ! [Y_4: produc809539159t_char] :
( ( member1999287380t_char @ ( produc1897818327t_char @ X_12 @ Y_4 ) @ R_1 )
=> ~ ( member1999287380t_char @ ( produc1897818327t_char @ Y_4 @ Z_1 ) @ ( transi198989188t_char @ R_1 ) ) ) ) ) ).
thf(fact_618_converse__rtranclE,axiom,
! [X_12: produc1278157519t_char,Z_1: produc1278157519t_char,R_1: produc1350825965t_char > $o] :
( ( member794220506t_char @ ( produc2080520419t_char @ X_12 @ Z_1 ) @ ( transi1095029602t_char @ R_1 ) )
=> ( ( X_12 != Z_1 )
=> ~ ! [Y_4: produc1278157519t_char] :
( ( member794220506t_char @ ( produc2080520419t_char @ X_12 @ Y_4 ) @ R_1 )
=> ~ ( member794220506t_char @ ( produc2080520419t_char @ Y_4 @ Z_1 ) @ ( transi1095029602t_char @ R_1 ) ) ) ) ) ).
thf(fact_619_converse__rtranclE,axiom,
! [X_12: produc2088785539on_val,Z_1: produc2088785539on_val,R_1: produc1368416213on_val > $o] :
( ( member1235075778on_val @ ( produc1773146955on_val @ X_12 @ Z_1 ) @ ( transi1669211542on_val @ R_1 ) )
=> ( ( X_12 != Z_1 )
=> ~ ! [Y_4: produc2088785539on_val] :
( ( member1235075778on_val @ ( produc1773146955on_val @ X_12 @ Y_4 ) @ R_1 )
=> ~ ( member1235075778on_val @ ( produc1773146955on_val @ Y_4 @ Z_1 ) @ ( transi1669211542on_val @ R_1 ) ) ) ) ) ).
thf(fact_620_converse__rtranclE,axiom,
! [X_12: product_prod_val_val,Z_1: product_prod_val_val,R_1: produc800118557al_val > $o] :
( ( member837208074al_val @ ( produc1244920211al_val @ X_12 @ Z_1 ) @ ( transi1423755450al_val @ R_1 ) )
=> ( ( X_12 != Z_1 )
=> ~ ! [Y_4: product_prod_val_val] :
( ( member837208074al_val @ ( produc1244920211al_val @ X_12 @ Y_4 ) @ R_1 )
=> ~ ( member837208074al_val @ ( produc1244920211al_val @ Y_4 @ Z_1 ) @ ( transi1423755450al_val @ R_1 ) ) ) ) ) ).
thf(fact_621_converse__rtranclE,axiom,
! [X_12: produc1645268488al_val,Z_1: produc1645268488al_val,R_1: produc630464863al_val > $o] :
( ( member1732271180al_val @ ( produc1924279125al_val @ X_12 @ Z_1 ) @ ( transi1906258203al_val @ R_1 ) )
=> ( ( X_12 != Z_1 )
=> ~ ! [Y_4: produc1645268488al_val] :
( ( member1732271180al_val @ ( produc1924279125al_val @ X_12 @ Y_4 ) @ R_1 )
=> ~ ( member1732271180al_val @ ( produc1924279125al_val @ Y_4 @ Z_1 ) @ ( transi1906258203al_val @ R_1 ) ) ) ) ) ).
thf(fact_622_converse__rtranclE,axiom,
! [X_12: produc662261637t_char,Z_1: produc662261637t_char,R_1: produc1826280281t_char > $o] :
( ( member1161907014t_char @ ( produc1299387215t_char @ X_12 @ Z_1 ) @ ( transi1789604888t_char @ R_1 ) )
=> ( ( X_12 != Z_1 )
=> ~ ! [Y_4: produc662261637t_char] :
( ( member1161907014t_char @ ( produc1299387215t_char @ X_12 @ Y_4 ) @ R_1 )
=> ~ ( member1161907014t_char @ ( produc1299387215t_char @ Y_4 @ Z_1 ) @ ( transi1789604888t_char @ R_1 ) ) ) ) ) ).
thf(fact_623_converse__rtranclE,axiom,
! [X_12: produc220283002t_char,Z_1: produc220283002t_char,R_1: produc1406897475t_char > $o] :
( ( member125098544t_char @ ( produc57279289t_char @ X_12 @ Z_1 ) @ ( transi1257872013t_char @ R_1 ) )
=> ( ( X_12 != Z_1 )
=> ~ ! [Y_4: produc220283002t_char] :
( ( member125098544t_char @ ( produc57279289t_char @ X_12 @ Y_4 ) @ R_1 )
=> ~ ( member125098544t_char @ ( produc57279289t_char @ Y_4 @ Z_1 ) @ ( transi1257872013t_char @ R_1 ) ) ) ) ) ).
thf(fact_624_converse__rtranclE,axiom,
! [X_12: produc1285161482t_char,Z_1: produc1285161482t_char,R_1: produc349695911t_char > $o] :
( ( member1420286996t_char @ ( produc24551831t_char @ X_12 @ Z_1 ) @ ( transi122195895t_char @ R_1 ) )
=> ( ( X_12 != Z_1 )
=> ~ ! [Y_4: produc1285161482t_char] :
( ( member1420286996t_char @ ( produc24551831t_char @ X_12 @ Y_4 ) @ R_1 )
=> ~ ( member1420286996t_char @ ( produc24551831t_char @ Y_4 @ Z_1 ) @ ( transi122195895t_char @ R_1 ) ) ) ) ) ).
thf(fact_625_converse__rtranclE,axiom,
! [X_12: produc618524391on_val,Z_1: produc618524391on_val,R_1: produc1250491293on_val > $o] :
( ( member1145216138on_val @ ( produc1347028499on_val @ X_12 @ Z_1 ) @ ( transi1457397498on_val @ R_1 ) )
=> ( ( X_12 != Z_1 )
=> ~ ! [Y_4: produc618524391on_val] :
( ( member1145216138on_val @ ( produc1347028499on_val @ X_12 @ Y_4 ) @ R_1 )
=> ~ ( member1145216138on_val @ ( produc1347028499on_val @ Y_4 @ Z_1 ) @ ( transi1457397498on_val @ R_1 ) ) ) ) ) ).
thf(fact_626_converse__rtranclE,axiom,
! [X_12: produc2090907612on_val,Z_1: produc2090907612on_val,R_1: produc1581780743on_val > $o] :
( ( member565037556on_val @ ( produc259392253on_val @ X_12 @ Z_1 ) @ ( transi466770671on_val @ R_1 ) )
=> ( ( X_12 != Z_1 )
=> ~ ! [Y_4: produc2090907612on_val] :
( ( member565037556on_val @ ( produc259392253on_val @ X_12 @ Y_4 ) @ R_1 )
=> ~ ( member565037556on_val @ ( produc259392253on_val @ Y_4 @ Z_1 ) @ ( transi466770671on_val @ R_1 ) ) ) ) ) ).
thf(fact_627_converse__rtranclE,axiom,
! [X_12: produc1746408499on_val,Z_1: produc1746408499on_val,R_1: produc652964533on_val > $o] :
( ( member1714424482on_val @ ( produc345758123on_val @ X_12 @ Z_1 ) @ ( transi130214086on_val @ R_1 ) )
=> ( ( X_12 != Z_1 )
=> ~ ! [Y_4: produc1746408499on_val] :
( ( member1714424482on_val @ ( produc345758123on_val @ X_12 @ Y_4 ) @ R_1 )
=> ~ ( member1714424482on_val @ ( produc345758123on_val @ Y_4 @ Z_1 ) @ ( transi130214086on_val @ R_1 ) ) ) ) ) ).
thf(fact_628_converse__rtranclE,axiom,
! [X_12: val,Z_1: val,R_1: product_prod_val_val > $o] :
( ( member649088532al_val @ ( product_Pair_val_val @ X_12 @ Z_1 ) @ ( transi935034983cl_val @ R_1 ) )
=> ( ( X_12 != Z_1 )
=> ~ ! [Y_4: val] :
( ( member649088532al_val @ ( product_Pair_val_val @ X_12 @ Y_4 ) @ R_1 )
=> ~ ( member649088532al_val @ ( product_Pair_val_val @ Y_4 @ Z_1 ) @ ( transi935034983cl_val @ R_1 ) ) ) ) ) ).
thf(fact_629_converse__rtranclE,axiom,
! [X_12: produc1282892786on_val,Z_1: produc1282892786on_val,R_1: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ X_12 @ Z_1 ) @ ( transi2118771717on_val @ R_1 ) )
=> ( ( X_12 != Z_1 )
=> ~ ! [Y_4: produc1282892786on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ X_12 @ Y_4 ) @ R_1 )
=> ~ ( member1913460000on_val @ ( produc833389609on_val @ Y_4 @ Z_1 ) @ ( transi2118771717on_val @ R_1 ) ) ) ) ) ).
thf(fact_630_converse__rtranclE,axiom,
! [X_12: produc1180562163on_val,Z_1: produc1180562163on_val,R_1: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ X_12 @ Z_1 ) @ ( transi808828192on_val @ R_1 ) )
=> ( ( X_12 != Z_1 )
=> ~ ! [Y_4: produc1180562163on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ X_12 @ Y_4 ) @ R_1 )
=> ~ ( member2042188884on_val @ ( produc747700183on_val @ Y_4 @ Z_1 ) @ ( transi808828192on_val @ R_1 ) ) ) ) ) ).
thf(fact_631_converse__rtranclE,axiom,
! [X_12: list_char,Z_1: list_char,R_1: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ X_12 @ Z_1 ) @ ( transi1395422419t_char @ R_1 ) )
=> ( ( X_12 != Z_1 )
=> ~ ! [Y_4: list_char] :
( ( member1251428284t_char @ ( produc5062597t_char @ X_12 @ Y_4 ) @ R_1 )
=> ~ ( member1251428284t_char @ ( produc5062597t_char @ Y_4 @ Z_1 ) @ ( transi1395422419t_char @ R_1 ) ) ) ) ) ).
thf(fact_632_rtranclE,axiom,
! [A_70: produc809539159t_char,B_1: produc809539159t_char,R: produc1534059751t_char > $o] :
( ( member1999287380t_char @ ( produc1897818327t_char @ A_70 @ B_1 ) @ ( transi198989188t_char @ R ) )
=> ( ( A_70 != B_1 )
=> ~ ! [Y_4: produc809539159t_char] :
( ( member1999287380t_char @ ( produc1897818327t_char @ A_70 @ Y_4 ) @ ( transi198989188t_char @ R ) )
=> ~ ( member1999287380t_char @ ( produc1897818327t_char @ Y_4 @ B_1 ) @ R ) ) ) ) ).
thf(fact_633_rtranclE,axiom,
! [A_70: produc1278157519t_char,B_1: produc1278157519t_char,R: produc1350825965t_char > $o] :
( ( member794220506t_char @ ( produc2080520419t_char @ A_70 @ B_1 ) @ ( transi1095029602t_char @ R ) )
=> ( ( A_70 != B_1 )
=> ~ ! [Y_4: produc1278157519t_char] :
( ( member794220506t_char @ ( produc2080520419t_char @ A_70 @ Y_4 ) @ ( transi1095029602t_char @ R ) )
=> ~ ( member794220506t_char @ ( produc2080520419t_char @ Y_4 @ B_1 ) @ R ) ) ) ) ).
thf(fact_634_rtranclE,axiom,
! [A_70: produc2088785539on_val,B_1: produc2088785539on_val,R: produc1368416213on_val > $o] :
( ( member1235075778on_val @ ( produc1773146955on_val @ A_70 @ B_1 ) @ ( transi1669211542on_val @ R ) )
=> ( ( A_70 != B_1 )
=> ~ ! [Y_4: produc2088785539on_val] :
( ( member1235075778on_val @ ( produc1773146955on_val @ A_70 @ Y_4 ) @ ( transi1669211542on_val @ R ) )
=> ~ ( member1235075778on_val @ ( produc1773146955on_val @ Y_4 @ B_1 ) @ R ) ) ) ) ).
thf(fact_635_rtranclE,axiom,
! [A_70: product_prod_val_val,B_1: product_prod_val_val,R: produc800118557al_val > $o] :
( ( member837208074al_val @ ( produc1244920211al_val @ A_70 @ B_1 ) @ ( transi1423755450al_val @ R ) )
=> ( ( A_70 != B_1 )
=> ~ ! [Y_4: product_prod_val_val] :
( ( member837208074al_val @ ( produc1244920211al_val @ A_70 @ Y_4 ) @ ( transi1423755450al_val @ R ) )
=> ~ ( member837208074al_val @ ( produc1244920211al_val @ Y_4 @ B_1 ) @ R ) ) ) ) ).
thf(fact_636_rtranclE,axiom,
! [A_70: produc1645268488al_val,B_1: produc1645268488al_val,R: produc630464863al_val > $o] :
( ( member1732271180al_val @ ( produc1924279125al_val @ A_70 @ B_1 ) @ ( transi1906258203al_val @ R ) )
=> ( ( A_70 != B_1 )
=> ~ ! [Y_4: produc1645268488al_val] :
( ( member1732271180al_val @ ( produc1924279125al_val @ A_70 @ Y_4 ) @ ( transi1906258203al_val @ R ) )
=> ~ ( member1732271180al_val @ ( produc1924279125al_val @ Y_4 @ B_1 ) @ R ) ) ) ) ).
thf(fact_637_rtranclE,axiom,
! [A_70: produc662261637t_char,B_1: produc662261637t_char,R: produc1826280281t_char > $o] :
( ( member1161907014t_char @ ( produc1299387215t_char @ A_70 @ B_1 ) @ ( transi1789604888t_char @ R ) )
=> ( ( A_70 != B_1 )
=> ~ ! [Y_4: produc662261637t_char] :
( ( member1161907014t_char @ ( produc1299387215t_char @ A_70 @ Y_4 ) @ ( transi1789604888t_char @ R ) )
=> ~ ( member1161907014t_char @ ( produc1299387215t_char @ Y_4 @ B_1 ) @ R ) ) ) ) ).
thf(fact_638_rtranclE,axiom,
! [A_70: produc220283002t_char,B_1: produc220283002t_char,R: produc1406897475t_char > $o] :
( ( member125098544t_char @ ( produc57279289t_char @ A_70 @ B_1 ) @ ( transi1257872013t_char @ R ) )
=> ( ( A_70 != B_1 )
=> ~ ! [Y_4: produc220283002t_char] :
( ( member125098544t_char @ ( produc57279289t_char @ A_70 @ Y_4 ) @ ( transi1257872013t_char @ R ) )
=> ~ ( member125098544t_char @ ( produc57279289t_char @ Y_4 @ B_1 ) @ R ) ) ) ) ).
thf(fact_639_rtranclE,axiom,
! [A_70: produc1285161482t_char,B_1: produc1285161482t_char,R: produc349695911t_char > $o] :
( ( member1420286996t_char @ ( produc24551831t_char @ A_70 @ B_1 ) @ ( transi122195895t_char @ R ) )
=> ( ( A_70 != B_1 )
=> ~ ! [Y_4: produc1285161482t_char] :
( ( member1420286996t_char @ ( produc24551831t_char @ A_70 @ Y_4 ) @ ( transi122195895t_char @ R ) )
=> ~ ( member1420286996t_char @ ( produc24551831t_char @ Y_4 @ B_1 ) @ R ) ) ) ) ).
thf(fact_640_rtranclE,axiom,
! [A_70: produc618524391on_val,B_1: produc618524391on_val,R: produc1250491293on_val > $o] :
( ( member1145216138on_val @ ( produc1347028499on_val @ A_70 @ B_1 ) @ ( transi1457397498on_val @ R ) )
=> ( ( A_70 != B_1 )
=> ~ ! [Y_4: produc618524391on_val] :
( ( member1145216138on_val @ ( produc1347028499on_val @ A_70 @ Y_4 ) @ ( transi1457397498on_val @ R ) )
=> ~ ( member1145216138on_val @ ( produc1347028499on_val @ Y_4 @ B_1 ) @ R ) ) ) ) ).
thf(fact_641_rtranclE,axiom,
! [A_70: produc2090907612on_val,B_1: produc2090907612on_val,R: produc1581780743on_val > $o] :
( ( member565037556on_val @ ( produc259392253on_val @ A_70 @ B_1 ) @ ( transi466770671on_val @ R ) )
=> ( ( A_70 != B_1 )
=> ~ ! [Y_4: produc2090907612on_val] :
( ( member565037556on_val @ ( produc259392253on_val @ A_70 @ Y_4 ) @ ( transi466770671on_val @ R ) )
=> ~ ( member565037556on_val @ ( produc259392253on_val @ Y_4 @ B_1 ) @ R ) ) ) ) ).
thf(fact_642_rtranclE,axiom,
! [A_70: produc1746408499on_val,B_1: produc1746408499on_val,R: produc652964533on_val > $o] :
( ( member1714424482on_val @ ( produc345758123on_val @ A_70 @ B_1 ) @ ( transi130214086on_val @ R ) )
=> ( ( A_70 != B_1 )
=> ~ ! [Y_4: produc1746408499on_val] :
( ( member1714424482on_val @ ( produc345758123on_val @ A_70 @ Y_4 ) @ ( transi130214086on_val @ R ) )
=> ~ ( member1714424482on_val @ ( produc345758123on_val @ Y_4 @ B_1 ) @ R ) ) ) ) ).
thf(fact_643_rtranclE,axiom,
! [A_70: val,B_1: val,R: product_prod_val_val > $o] :
( ( member649088532al_val @ ( product_Pair_val_val @ A_70 @ B_1 ) @ ( transi935034983cl_val @ R ) )
=> ( ( A_70 != B_1 )
=> ~ ! [Y_4: val] :
( ( member649088532al_val @ ( product_Pair_val_val @ A_70 @ Y_4 ) @ ( transi935034983cl_val @ R ) )
=> ~ ( member649088532al_val @ ( product_Pair_val_val @ Y_4 @ B_1 ) @ R ) ) ) ) ).
thf(fact_644_rtranclE,axiom,
! [A_70: produc1282892786on_val,B_1: produc1282892786on_val,R: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ A_70 @ B_1 ) @ ( transi2118771717on_val @ R ) )
=> ( ( A_70 != B_1 )
=> ~ ! [Y_4: produc1282892786on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ A_70 @ Y_4 ) @ ( transi2118771717on_val @ R ) )
=> ~ ( member1913460000on_val @ ( produc833389609on_val @ Y_4 @ B_1 ) @ R ) ) ) ) ).
thf(fact_645_rtranclE,axiom,
! [A_70: produc1180562163on_val,B_1: produc1180562163on_val,R: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ A_70 @ B_1 ) @ ( transi808828192on_val @ R ) )
=> ( ( A_70 != B_1 )
=> ~ ! [Y_4: produc1180562163on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ A_70 @ Y_4 ) @ ( transi808828192on_val @ R ) )
=> ~ ( member2042188884on_val @ ( produc747700183on_val @ Y_4 @ B_1 ) @ R ) ) ) ) ).
thf(fact_646_rtranclE,axiom,
! [A_70: list_char,B_1: list_char,R: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ A_70 @ B_1 ) @ ( transi1395422419t_char @ R ) )
=> ( ( A_70 != B_1 )
=> ~ ! [Y_4: list_char] :
( ( member1251428284t_char @ ( produc5062597t_char @ A_70 @ Y_4 ) @ ( transi1395422419t_char @ R ) )
=> ~ ( member1251428284t_char @ ( produc5062597t_char @ Y_4 @ B_1 ) @ R ) ) ) ) ).
thf(fact_647_CondReds2T,axiom,
! [E_2_1: exp_list_char,E_1_1: exp_list_char,E: exp_list_char,S_2_1: produc2090907612on_val,E_1: exp_list_char,S_0: produc2090907612on_val,S_1_1: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_0 ) @ ( produc235638504on_val @ ( val_list_char @ ( bool @ $true ) ) @ S_1_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1_1 @ S_1_1 ) @ ( produc235638504on_val @ E @ S_2_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ E_1 @ E_1_1 @ E_2_1 ) @ S_0 ) @ ( produc235638504on_val @ E @ S_2_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ).
thf(fact_648_CondReds2F,axiom,
! [E_1_1: exp_list_char,E_2_1: exp_list_char,E: exp_list_char,S_2_1: produc2090907612on_val,E_1: exp_list_char,S_0: produc2090907612on_val,S_1_1: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_0 ) @ ( produc235638504on_val @ ( val_list_char @ ( bool @ $false ) ) @ S_1_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_2_1 @ S_1_1 ) @ ( produc235638504on_val @ E @ S_2_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ E_1 @ E_1_1 @ E_2_1 ) @ S_0 ) @ ( produc235638504on_val @ E @ S_2_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ).
thf(fact_649_CastRedsNull,axiom,
! [C: list_char,E_1: exp_list_char,S_1: produc2090907612on_val,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ C @ E_1 ) @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_650_red__reds_ORedCastNull,axiom,
! [C: list_char,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ C @ ( val_list_char @ null ) ) @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_651_red__reds_ORedCondF,axiom,
! [E_1_1: exp_list_char,E_2_1: exp_list_char,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ ( val_list_char @ ( bool @ $false ) ) @ E_1_1 @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ E_2_1 @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_652_red__reds_ORedCondT,axiom,
! [E_1_1: exp_list_char,E_2_1: exp_list_char,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ ( val_list_char @ ( bool @ $true ) ) @ E_1_1 @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ E_1_1 @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_653_val_Osimps_I12_J,axiom,
! [Bool_1: $o] :
( null
!= ( bool @ Bool_1 ) ) ).
thf(fact_654_val_Osimps_I13_J,axiom,
! [Bool_1: $o] :
( ( bool @ Bool_1 )
!= null ) ).
thf(fact_655_WhileTReds,axiom,
! [E_1: exp_list_char,S_3: produc2090907612on_val,C_2: exp_list_char,V_1_1: val,S_2_1: produc2090907612on_val,B: exp_list_char,S_0: produc2090907612on_val,S_1_1: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ S_0 ) @ ( produc235638504on_val @ ( val_list_char @ ( bool @ $true ) ) @ S_1_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C_2 @ S_1_1 ) @ ( produc235638504on_val @ ( val_list_char @ V_1_1 ) @ S_2_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( while_list_char @ B @ C_2 ) @ S_2_1 ) @ ( produc235638504on_val @ E_1 @ S_3 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( while_list_char @ B @ C_2 ) @ S_0 ) @ ( produc235638504on_val @ E_1 @ S_3 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ) ).
thf(fact_656_BinOpRedsThrow2,axiom,
! [Bop: bop,E_2_1: exp_list_char,E_1: exp_list_char,S_2_1: produc2090907612on_val,E_1_1: exp_list_char,S_0: produc2090907612on_val,V_1_1: val,S_1_1: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1_1 @ S_0 ) @ ( produc235638504on_val @ ( val_list_char @ V_1_1 ) @ S_1_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_2_1 @ S_1_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_2_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ E_1_1 @ Bop @ E_2_1 ) @ S_0 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_2_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ).
thf(fact_657_FAccRedsThrow,axiom,
! [F: list_char,D: list_char,E_1: exp_list_char,S_1: produc2090907612on_val,A: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ E_1 @ F @ D ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_658_CondRedsThrow,axiom,
! [E_1_1: exp_list_char,E_2_1: exp_list_char,E_1: exp_list_char,S_1: produc2090907612on_val,A: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ E_1 @ E_1_1 @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_659_CastRedsThrow,axiom,
! [C: list_char,E_1: exp_list_char,S_1: produc2090907612on_val,A: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ C @ E_1 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_660_BinOpRedsThrow1,axiom,
! [Bop: bop,E_2_1: exp_list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ E_1 @ Bop @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_661_CallRedsThrowObj,axiom,
! [M: list_char,Es_1: list_exp_list_char,E_1: exp_list_char,S0: produc2090907612on_val,A: exp_list_char,S_1_1: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S0 ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ S_1_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ E_1 @ M @ Es_1 ) @ S0 ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ S_1_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_662_exp_Osimps_I221_J,axiom,
! [Exp_113: exp_list_char,Exp1_113: exp_list_char,Exp2_113: exp_list_char] :
( ( throw_list_char @ Exp_113 )
!= ( while_list_char @ Exp1_113 @ Exp2_113 ) ) ).
thf(fact_663_exp_Osimps_I220_J,axiom,
! [Exp1_112: exp_list_char,Exp2_112: exp_list_char,Exp_112: exp_list_char] :
( ( while_list_char @ Exp1_112 @ Exp2_112 )
!= ( throw_list_char @ Exp_112 ) ) ).
thf(fact_664_exp_Osimps_I14_J,axiom,
! [Exp_111: exp_list_char,Exp_110: exp_list_char] :
( ( ( throw_list_char @ Exp_111 )
= ( throw_list_char @ Exp_110 ) )
<=> ( Exp_111 = Exp_110 ) ) ).
thf(fact_665_exp_Osimps_I13_J,axiom,
! [Exp1_111: exp_list_char,Exp2_111: exp_list_char,Exp1_110: exp_list_char,Exp2_110: exp_list_char] :
( ( ( while_list_char @ Exp1_111 @ Exp2_111 )
= ( while_list_char @ Exp1_110 @ Exp2_110 ) )
<=> ( ( Exp1_111 = Exp1_110 )
& ( Exp2_111 = Exp2_110 ) ) ) ).
thf(fact_666_exp_Osimps_I91_J,axiom,
! [Exp_109: exp_list_char,Val_11: val] :
( ( throw_list_char @ Exp_109 )
!= ( val_list_char @ Val_11 ) ) ).
thf(fact_667_exp_Osimps_I90_J,axiom,
! [Val_10: val,Exp_108: exp_list_char] :
( ( val_list_char @ Val_10 )
!= ( throw_list_char @ Exp_108 ) ) ).
thf(fact_668_exp_Osimps_I89_J,axiom,
! [Exp1_109: exp_list_char,Exp2_109: exp_list_char,Val_9: val] :
( ( while_list_char @ Exp1_109 @ Exp2_109 )
!= ( val_list_char @ Val_9 ) ) ).
thf(fact_669_exp_Osimps_I88_J,axiom,
! [Val_8: val,Exp1_108: exp_list_char,Exp2_108: exp_list_char] :
( ( val_list_char @ Val_8 )
!= ( while_list_char @ Exp1_108 @ Exp2_108 ) ) ).
thf(fact_670_exp_Osimps_I192_J,axiom,
! [Exp_107: exp_list_char,List1_49: list_char,List2_49: list_exp_list_char,Exp_106: exp_list_char] :
( ( call_list_char @ Exp_107 @ List1_49 @ List2_49 )
!= ( throw_list_char @ Exp_106 ) ) ).
thf(fact_671_exp_Osimps_I193_J,axiom,
! [Exp_105: exp_list_char,Exp_104: exp_list_char,List1_48: list_char,List2_48: list_exp_list_char] :
( ( throw_list_char @ Exp_105 )
!= ( call_list_char @ Exp_104 @ List1_48 @ List2_48 ) ) ).
thf(fact_672_exp_Osimps_I112_J,axiom,
! [Exp1_107: exp_list_char,Bop_12: bop,Exp2_107: exp_list_char,Exp_103: exp_list_char] :
( ( binOp_list_char @ Exp1_107 @ Bop_12 @ Exp2_107 )
!= ( throw_list_char @ Exp_103 ) ) ).
thf(fact_673_exp_Osimps_I113_J,axiom,
! [Exp_102: exp_list_char,Exp1_106: exp_list_char,Bop_11: bop,Exp2_106: exp_list_char] :
( ( throw_list_char @ Exp_102 )
!= ( binOp_list_char @ Exp1_106 @ Bop_11 @ Exp2_106 ) ) ).
thf(fact_674_exp_Osimps_I216_J,axiom,
! [Exp1_105: exp_list_char,Exp2_105: exp_list_char,Exp3_11: exp_list_char,Exp_101: exp_list_char] :
( ( cond_list_char @ Exp1_105 @ Exp2_105 @ Exp3_11 )
!= ( throw_list_char @ Exp_101 ) ) ).
thf(fact_675_exp_Osimps_I66_J,axiom,
! [List_28: list_char,Exp_100: exp_list_char,Exp_99: exp_list_char] :
( ( cast_list_char @ List_28 @ Exp_100 )
!= ( throw_list_char @ Exp_99 ) ) ).
thf(fact_676_exp_Osimps_I217_J,axiom,
! [Exp_98: exp_list_char,Exp1_104: exp_list_char,Exp2_104: exp_list_char,Exp3_10: exp_list_char] :
( ( throw_list_char @ Exp_98 )
!= ( cond_list_char @ Exp1_104 @ Exp2_104 @ Exp3_10 ) ) ).
thf(fact_677_exp_Osimps_I67_J,axiom,
! [Exp_97: exp_list_char,List_27: list_char,Exp_96: exp_list_char] :
( ( throw_list_char @ Exp_97 )
!= ( cast_list_char @ List_27 @ Exp_96 ) ) ).
thf(fact_678_exp_Osimps_I166_J,axiom,
! [Exp_95: exp_list_char,List1_47: list_char,List2_47: list_char,Exp_94: exp_list_char] :
( ( fAcc_list_char @ Exp_95 @ List1_47 @ List2_47 )
!= ( throw_list_char @ Exp_94 ) ) ).
thf(fact_679_exp_Osimps_I167_J,axiom,
! [Exp_93: exp_list_char,Exp_92: exp_list_char,List1_46: list_char,List2_46: list_char] :
( ( throw_list_char @ Exp_93 )
!= ( fAcc_list_char @ Exp_92 @ List1_46 @ List2_46 ) ) ).
thf(fact_680_exp_Osimps_I225_J,axiom,
! [Exp1_103: exp_list_char,List_26: list_char,A_69: list_char,Exp2_103: exp_list_char,Exp_91: exp_list_char] :
( ( tryCatch_list_char @ Exp1_103 @ List_26 @ A_69 @ Exp2_103 )
!= ( throw_list_char @ Exp_91 ) ) ).
thf(fact_681_exp_Osimps_I224_J,axiom,
! [Exp_90: exp_list_char,Exp1_102: exp_list_char,List_25: list_char,A_68: list_char,Exp2_102: exp_list_char] :
( ( throw_list_char @ Exp_90 )
!= ( tryCatch_list_char @ Exp1_102 @ List_25 @ A_68 @ Exp2_102 ) ) ).
thf(fact_682_exp_Osimps_I190_J,axiom,
! [Exp_89: exp_list_char,List1_45: list_char,List2_45: list_exp_list_char,Exp1_101: exp_list_char,Exp2_101: exp_list_char] :
( ( call_list_char @ Exp_89 @ List1_45 @ List2_45 )
!= ( while_list_char @ Exp1_101 @ Exp2_101 ) ) ).
thf(fact_683_exp_Osimps_I191_J,axiom,
! [Exp1_100: exp_list_char,Exp2_100: exp_list_char,Exp_88: exp_list_char,List1_44: list_char,List2_44: list_exp_list_char] :
( ( while_list_char @ Exp1_100 @ Exp2_100 )
!= ( call_list_char @ Exp_88 @ List1_44 @ List2_44 ) ) ).
thf(fact_684_exp_Osimps_I110_J,axiom,
! [Exp1_99: exp_list_char,Bop_10: bop,Exp2_99: exp_list_char,Exp1_98: exp_list_char,Exp2_98: exp_list_char] :
( ( binOp_list_char @ Exp1_99 @ Bop_10 @ Exp2_99 )
!= ( while_list_char @ Exp1_98 @ Exp2_98 ) ) ).
thf(fact_685_exp_Osimps_I111_J,axiom,
! [Exp1_97: exp_list_char,Exp2_97: exp_list_char,Exp1_96: exp_list_char,Bop_9: bop,Exp2_96: exp_list_char] :
( ( while_list_char @ Exp1_97 @ Exp2_97 )
!= ( binOp_list_char @ Exp1_96 @ Bop_9 @ Exp2_96 ) ) ).
thf(fact_686_exp_Osimps_I214_J,axiom,
! [Exp1_95: exp_list_char,Exp2_95: exp_list_char,Exp3_9: exp_list_char,Exp1_94: exp_list_char,Exp2_94: exp_list_char] :
( ( cond_list_char @ Exp1_95 @ Exp2_95 @ Exp3_9 )
!= ( while_list_char @ Exp1_94 @ Exp2_94 ) ) ).
thf(fact_687_exp_Osimps_I215_J,axiom,
! [Exp1_93: exp_list_char,Exp2_93: exp_list_char,Exp1_92: exp_list_char,Exp2_92: exp_list_char,Exp3_8: exp_list_char] :
( ( while_list_char @ Exp1_93 @ Exp2_93 )
!= ( cond_list_char @ Exp1_92 @ Exp2_92 @ Exp3_8 ) ) ).
thf(fact_688_exp_Osimps_I65_J,axiom,
! [Exp1_91: exp_list_char,Exp2_91: exp_list_char,List_24: list_char,Exp_87: exp_list_char] :
( ( while_list_char @ Exp1_91 @ Exp2_91 )
!= ( cast_list_char @ List_24 @ Exp_87 ) ) ).
thf(fact_689_exp_Osimps_I64_J,axiom,
! [List_23: list_char,Exp_86: exp_list_char,Exp1_90: exp_list_char,Exp2_90: exp_list_char] :
( ( cast_list_char @ List_23 @ Exp_86 )
!= ( while_list_char @ Exp1_90 @ Exp2_90 ) ) ).
thf(fact_690_exp_Osimps_I164_J,axiom,
! [Exp_85: exp_list_char,List1_43: list_char,List2_43: list_char,Exp1_89: exp_list_char,Exp2_89: exp_list_char] :
( ( fAcc_list_char @ Exp_85 @ List1_43 @ List2_43 )
!= ( while_list_char @ Exp1_89 @ Exp2_89 ) ) ).
thf(fact_691_exp_Osimps_I165_J,axiom,
! [Exp1_88: exp_list_char,Exp2_88: exp_list_char,Exp_84: exp_list_char,List1_42: list_char,List2_42: list_char] :
( ( while_list_char @ Exp1_88 @ Exp2_88 )
!= ( fAcc_list_char @ Exp_84 @ List1_42 @ List2_42 ) ) ).
thf(fact_692_exp_Osimps_I223_J,axiom,
! [Exp1_87: exp_list_char,List_22: list_char,A_67: list_char,Exp2_87: exp_list_char,Exp1_86: exp_list_char,Exp2_86: exp_list_char] :
( ( tryCatch_list_char @ Exp1_87 @ List_22 @ A_67 @ Exp2_87 )
!= ( while_list_char @ Exp1_86 @ Exp2_86 ) ) ).
thf(fact_693_exp_Osimps_I222_J,axiom,
! [Exp1_85: exp_list_char,Exp2_85: exp_list_char,Exp1_84: exp_list_char,List_21: list_char,A_66: list_char,Exp2_84: exp_list_char] :
( ( while_list_char @ Exp1_85 @ Exp2_85 )
!= ( tryCatch_list_char @ Exp1_84 @ List_21 @ A_66 @ Exp2_84 ) ) ).
thf(fact_694_WhileRedsThrow,axiom,
! [C_2: exp_list_char,B: exp_list_char,S_1: produc2090907612on_val,E_1: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( while_list_char @ B @ C_2 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_695_red__reds_OThrowThrow,axiom,
! [E_1: exp_list_char,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( throw_list_char @ ( throw_list_char @ E_1 ) ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_696_red__reds_OThrowRed,axiom,
! [E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( red @ P ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ S ) ) @ ( red @ P ) ) ) ).
thf(fact_697_WhileTRedsThrow,axiom,
! [C_2: exp_list_char,E_1: exp_list_char,S_2_1: produc2090907612on_val,B: exp_list_char,S_0: produc2090907612on_val,S_1_1: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ S_0 ) @ ( produc235638504on_val @ ( val_list_char @ ( bool @ $true ) ) @ S_1_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C_2 @ S_1_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_2_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( while_list_char @ B @ C_2 ) @ S_0 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_2_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ).
thf(fact_698_val_Osimps_I1_J,axiom,
! [Bool: $o,Bool_1: $o] :
( ( ( bool @ Bool )
= ( bool @ Bool_1 ) )
<=> ( Bool
<=> Bool_1 ) ) ).
thf(fact_699_ThrowReds,axiom,
! [E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_700_ThrowRedsThrow,axiom,
! [E_1: exp_list_char,S_1: produc2090907612on_val,A: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_701_red__reds_OCallThrowObj,axiom,
! [E_1: exp_list_char,M: list_char,Es_1: list_exp_list_char,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ ( throw_list_char @ E_1 ) @ M @ Es_1 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_702_red__reds_OBinOpThrow1,axiom,
! [E_1: exp_list_char,Bop: bop,E_2_1: exp_list_char,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ ( throw_list_char @ E_1 ) @ Bop @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_703_red__reds_OCastThrow,axiom,
! [C: list_char,E_1: exp_list_char,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ C @ ( throw_list_char @ E_1 ) ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_704_red__reds_OCondThrow,axiom,
! [E_1: exp_list_char,E_1_1: exp_list_char,E_2_1: exp_list_char,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ ( throw_list_char @ E_1 ) @ E_1_1 @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_705_red__reds_OFAccThrow,axiom,
! [E_1: exp_list_char,F: list_char,D: list_char,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ ( throw_list_char @ E_1 ) @ F @ D ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_706_red__reds_OBinOpThrow2,axiom,
! [V_1_1: val,Bop: bop,E_1: exp_list_char,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ ( val_list_char @ V_1_1 ) @ Bop @ ( throw_list_char @ E_1 ) ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_707_WhileFReds,axiom,
! [C_2: exp_list_char,B: exp_list_char,S_1: produc2090907612on_val,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ ( bool @ $false ) ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( while_list_char @ B @ C_2 ) @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ unit ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_708_WTrtThrow,axiom,
! [T_3: ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,T_r: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ T_r )
=> ( ( is_refT @ T_r )
=> ( wTrt @ P @ H_1 @ E_3 @ ( throw_list_char @ E_1 ) @ T_3 ) ) ) ).
thf(fact_709_FAssRedsThrow2,axiom,
! [F: list_char,D: list_char,E_2_1: exp_list_char,E_1: exp_list_char,S_2_1: produc2090907612on_val,E_1_1: exp_list_char,S_0: produc2090907612on_val,V_1: val,S_1_1: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1_1 @ S_0 ) @ ( produc235638504on_val @ ( val_list_char @ V_1 ) @ S_1_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_2_1 @ S_1_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_2_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ E_1_1 @ F @ D @ E_2_1 ) @ S_0 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_2_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ).
thf(fact_710_CallRedsThrowParams,axiom,
! [M: list_char,Es_1: list_exp_list_char,Vs_1_1: list_val,A: exp_list_char,Es_2_1: list_exp_list_char,S_2_1: produc2090907612on_val,E_1: exp_list_char,S0: produc2090907612on_val,V_1: val,S_1_1: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S0 ) @ ( produc235638504on_val @ ( val_list_char @ V_1 ) @ S_1_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ Es_1 @ S_1_1 ) @ ( produc1302104557on_val @ ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ Vs_1_1 ) @ ( cons_exp_list_char @ ( throw_list_char @ A ) @ Es_2_1 ) ) @ S_2_1 ) ) @ ( transi808828192on_val @ ( reds @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ E_1 @ M @ Es_1 ) @ S0 ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ S_2_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ).
thf(fact_711_FAssRedsThrow1,axiom,
! [F: list_char,D: list_char,E_2_1: exp_list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ E_1 @ F @ D @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_712_FAssReds2,axiom,
! [V_1: val,F: list_char,D: list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ V_1 ) @ F @ D @ E_1 ) @ S_1 ) @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ V_1 ) @ F @ D @ E ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_713_red__reds_OFAssThrow2,axiom,
! [V_1: val,F: list_char,D: list_char,E_1: exp_list_char,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ V_1 ) @ F @ D @ ( throw_list_char @ E_1 ) ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_714_LAssRedsThrow,axiom,
! [V: list_char,E_1: exp_list_char,S_1: produc2090907612on_val,A: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( lAss_list_char @ V @ E_1 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_715_SeqRedsThrow,axiom,
! [E_2_1: exp_list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( seq_list_char @ E_1 @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_716_WTrtSeq,axiom,
! [E_2_1: exp_list_char,T_2_2: ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1_1: exp_list_char,T_1_2: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1_1 @ T_1_2 )
=> ( ( wTrt @ P @ H_1 @ E_3 @ E_2_1 @ T_2_2 )
=> ( wTrt @ P @ H_1 @ E_3 @ ( seq_list_char @ E_1_1 @ E_2_1 ) @ T_2_2 ) ) ) ).
thf(fact_717_exp_Osimps_I8_J,axiom,
! [Exp1_83: exp_list_char,List1_41: list_char,List2_41: list_char,Exp2_83: exp_list_char,Exp1_82: exp_list_char,List1_40: list_char,List2_40: list_char,Exp2_82: exp_list_char] :
( ( ( fAss_list_char @ Exp1_83 @ List1_41 @ List2_41 @ Exp2_83 )
= ( fAss_list_char @ Exp1_82 @ List1_40 @ List2_40 @ Exp2_82 ) )
<=> ( ( Exp1_83 = Exp1_82 )
& ( List1_41 = List1_40 )
& ( List2_41 = List2_40 )
& ( Exp2_83 = Exp2_82 ) ) ) ).
thf(fact_718_exp_Osimps_I6_J,axiom,
! [A_65: list_char,Exp_83: exp_list_char,A_64: list_char,Exp_82: exp_list_char] :
( ( ( lAss_list_char @ A_65 @ Exp_83 )
= ( lAss_list_char @ A_64 @ Exp_82 ) )
<=> ( ( A_65 = A_64 )
& ( Exp_83 = Exp_82 ) ) ) ).
thf(fact_719_exp_Osimps_I11_J,axiom,
! [Exp1_81: exp_list_char,Exp2_81: exp_list_char,Exp1_80: exp_list_char,Exp2_80: exp_list_char] :
( ( ( seq_list_char @ Exp1_81 @ Exp2_81 )
= ( seq_list_char @ Exp1_80 @ Exp2_80 ) )
<=> ( ( Exp1_81 = Exp1_80 )
& ( Exp2_81 = Exp2_80 ) ) ) ).
thf(fact_720_exp_Osimps_I139_J,axiom,
! [Exp1_79: exp_list_char,List1_39: list_char,List2_39: list_char,Exp2_79: exp_list_char,A_63: list_char,Exp_81: exp_list_char] :
( ( fAss_list_char @ Exp1_79 @ List1_39 @ List2_39 @ Exp2_79 )
!= ( lAss_list_char @ A_63 @ Exp_81 ) ) ).
thf(fact_721_exp_Osimps_I174_J,axiom,
! [Exp1_78: exp_list_char,List1_38: list_char,List2_38: list_char,Exp2_78: exp_list_char,Exp1_77: exp_list_char,Exp2_77: exp_list_char] :
( ( fAss_list_char @ Exp1_78 @ List1_38 @ List2_38 @ Exp2_78 )
!= ( seq_list_char @ Exp1_77 @ Exp2_77 ) ) ).
thf(fact_722_exp_Osimps_I138_J,axiom,
! [A_62: list_char,Exp_80: exp_list_char,Exp1_76: exp_list_char,List1_37: list_char,List2_37: list_char,Exp2_76: exp_list_char] :
( ( lAss_list_char @ A_62 @ Exp_80 )
!= ( fAss_list_char @ Exp1_76 @ List1_37 @ List2_37 @ Exp2_76 ) ) ).
thf(fact_723_exp_Osimps_I175_J,axiom,
! [Exp1_75: exp_list_char,Exp2_75: exp_list_char,Exp1_74: exp_list_char,List1_36: list_char,List2_36: list_char,Exp2_74: exp_list_char] :
( ( seq_list_char @ Exp1_75 @ Exp2_75 )
!= ( fAss_list_char @ Exp1_74 @ List1_36 @ List2_36 @ Exp2_74 ) ) ).
thf(fact_724_exp_Osimps_I144_J,axiom,
! [A_61: list_char,Exp_79: exp_list_char,Exp1_73: exp_list_char,Exp2_73: exp_list_char] :
( ( lAss_list_char @ A_61 @ Exp_79 )
!= ( seq_list_char @ Exp1_73 @ Exp2_73 ) ) ).
thf(fact_725_exp_Osimps_I145_J,axiom,
! [Exp1_72: exp_list_char,Exp2_72: exp_list_char,A_60: list_char,Exp_78: exp_list_char] :
( ( seq_list_char @ Exp1_72 @ Exp2_72 )
!= ( lAss_list_char @ A_60 @ Exp_78 ) ) ).
thf(fact_726_exp_Osimps_I84_J,axiom,
! [Val_7: val,Exp1_71: exp_list_char,Exp2_71: exp_list_char] :
( ( val_list_char @ Val_7 )
!= ( seq_list_char @ Exp1_71 @ Exp2_71 ) ) ).
thf(fact_727_exp_Osimps_I74_J,axiom,
! [Val_6: val,A_59: list_char,Exp_77: exp_list_char] :
( ( val_list_char @ Val_6 )
!= ( lAss_list_char @ A_59 @ Exp_77 ) ) ).
thf(fact_728_exp_Osimps_I78_J,axiom,
! [Val_5: val,Exp1_70: exp_list_char,List1_35: list_char,List2_35: list_char,Exp2_70: exp_list_char] :
( ( val_list_char @ Val_5 )
!= ( fAss_list_char @ Exp1_70 @ List1_35 @ List2_35 @ Exp2_70 ) ) ).
thf(fact_729_exp_Osimps_I85_J,axiom,
! [Exp1_69: exp_list_char,Exp2_69: exp_list_char,Val_4: val] :
( ( seq_list_char @ Exp1_69 @ Exp2_69 )
!= ( val_list_char @ Val_4 ) ) ).
thf(fact_730_exp_Osimps_I75_J,axiom,
! [A_58: list_char,Exp_76: exp_list_char,Val_3: val] :
( ( lAss_list_char @ A_58 @ Exp_76 )
!= ( val_list_char @ Val_3 ) ) ).
thf(fact_731_exp_Osimps_I79_J,axiom,
! [Exp1_68: exp_list_char,List1_34: list_char,List2_34: list_char,Exp2_68: exp_list_char,Val_2: val] :
( ( fAss_list_char @ Exp1_68 @ List1_34 @ List2_34 @ Exp2_68 )
!= ( val_list_char @ Val_2 ) ) ).
thf(fact_732_exp_Osimps_I180_J,axiom,
! [Exp1_67: exp_list_char,List1_33: list_char,List2_33: list_char,Exp2_67: exp_list_char,Exp_75: exp_list_char] :
( ( fAss_list_char @ Exp1_67 @ List1_33 @ List2_33 @ Exp2_67 )
!= ( throw_list_char @ Exp_75 ) ) ).
thf(fact_733_exp_Osimps_I150_J,axiom,
! [A_57: list_char,Exp_74: exp_list_char,Exp_73: exp_list_char] :
( ( lAss_list_char @ A_57 @ Exp_74 )
!= ( throw_list_char @ Exp_73 ) ) ).
thf(fact_734_exp_Osimps_I210_J,axiom,
! [Exp1_66: exp_list_char,Exp2_66: exp_list_char,Exp_72: exp_list_char] :
( ( seq_list_char @ Exp1_66 @ Exp2_66 )
!= ( throw_list_char @ Exp_72 ) ) ).
thf(fact_735_exp_Osimps_I181_J,axiom,
! [Exp_71: exp_list_char,Exp1_65: exp_list_char,List1_32: list_char,List2_32: list_char,Exp2_65: exp_list_char] :
( ( throw_list_char @ Exp_71 )
!= ( fAss_list_char @ Exp1_65 @ List1_32 @ List2_32 @ Exp2_65 ) ) ).
thf(fact_736_exp_Osimps_I151_J,axiom,
! [Exp_70: exp_list_char,A_56: list_char,Exp_69: exp_list_char] :
( ( throw_list_char @ Exp_70 )
!= ( lAss_list_char @ A_56 @ Exp_69 ) ) ).
thf(fact_737_exp_Osimps_I211_J,axiom,
! [Exp_68: exp_list_char,Exp1_64: exp_list_char,Exp2_64: exp_list_char] :
( ( throw_list_char @ Exp_68 )
!= ( seq_list_char @ Exp1_64 @ Exp2_64 ) ) ).
thf(fact_738_exp_Osimps_I187_J,axiom,
! [Exp1_63: exp_list_char,Exp2_63: exp_list_char,Exp_67: exp_list_char,List1_31: list_char,List2_31: list_exp_list_char] :
( ( seq_list_char @ Exp1_63 @ Exp2_63 )
!= ( call_list_char @ Exp_67 @ List1_31 @ List2_31 ) ) ).
thf(fact_739_exp_Osimps_I140_J,axiom,
! [A_55: list_char,Exp_66: exp_list_char,Exp_65: exp_list_char,List1_30: list_char,List2_30: list_exp_list_char] :
( ( lAss_list_char @ A_55 @ Exp_66 )
!= ( call_list_char @ Exp_65 @ List1_30 @ List2_30 ) ) ).
thf(fact_740_exp_Osimps_I186_J,axiom,
! [Exp_64: exp_list_char,List1_29: list_char,List2_29: list_exp_list_char,Exp1_62: exp_list_char,Exp2_62: exp_list_char] :
( ( call_list_char @ Exp_64 @ List1_29 @ List2_29 )
!= ( seq_list_char @ Exp1_62 @ Exp2_62 ) ) ).
thf(fact_741_exp_Osimps_I141_J,axiom,
! [Exp_63: exp_list_char,List1_28: list_char,List2_28: list_exp_list_char,A_54: list_char,Exp_62: exp_list_char] :
( ( call_list_char @ Exp_63 @ List1_28 @ List2_28 )
!= ( lAss_list_char @ A_54 @ Exp_62 ) ) ).
thf(fact_742_exp_Osimps_I171_J,axiom,
! [Exp_61: exp_list_char,List1_27: list_char,List2_27: list_exp_list_char,Exp1_61: exp_list_char,List1_26: list_char,List2_26: list_char,Exp2_61: exp_list_char] :
( ( call_list_char @ Exp_61 @ List1_27 @ List2_27 )
!= ( fAss_list_char @ Exp1_61 @ List1_26 @ List2_26 @ Exp2_61 ) ) ).
thf(fact_743_exp_Osimps_I170_J,axiom,
! [Exp1_60: exp_list_char,List1_25: list_char,List2_25: list_char,Exp2_60: exp_list_char,Exp_60: exp_list_char,List1_24: list_char,List2_24: list_exp_list_char] :
( ( fAss_list_char @ Exp1_60 @ List1_25 @ List2_25 @ Exp2_60 )
!= ( call_list_char @ Exp_60 @ List1_24 @ List2_24 ) ) ).
thf(fact_744_exp_Osimps_I107_J,axiom,
! [Exp1_59: exp_list_char,Exp2_59: exp_list_char,Exp1_58: exp_list_char,Bop_8: bop,Exp2_58: exp_list_char] :
( ( seq_list_char @ Exp1_59 @ Exp2_59 )
!= ( binOp_list_char @ Exp1_58 @ Bop_8 @ Exp2_58 ) ) ).
thf(fact_745_exp_Osimps_I97_J,axiom,
! [A_53: list_char,Exp_59: exp_list_char,Exp1_57: exp_list_char,Bop_7: bop,Exp2_57: exp_list_char] :
( ( lAss_list_char @ A_53 @ Exp_59 )
!= ( binOp_list_char @ Exp1_57 @ Bop_7 @ Exp2_57 ) ) ).
thf(fact_746_exp_Osimps_I106_J,axiom,
! [Exp1_56: exp_list_char,Bop_6: bop,Exp2_56: exp_list_char,Exp1_55: exp_list_char,Exp2_55: exp_list_char] :
( ( binOp_list_char @ Exp1_56 @ Bop_6 @ Exp2_56 )
!= ( seq_list_char @ Exp1_55 @ Exp2_55 ) ) ).
thf(fact_747_exp_Osimps_I96_J,axiom,
! [Exp1_54: exp_list_char,Bop_5: bop,Exp2_54: exp_list_char,A_52: list_char,Exp_58: exp_list_char] :
( ( binOp_list_char @ Exp1_54 @ Bop_5 @ Exp2_54 )
!= ( lAss_list_char @ A_52 @ Exp_58 ) ) ).
thf(fact_748_exp_Osimps_I100_J,axiom,
! [Exp1_53: exp_list_char,Bop_4: bop,Exp2_53: exp_list_char,Exp1_52: exp_list_char,List1_23: list_char,List2_23: list_char,Exp2_52: exp_list_char] :
( ( binOp_list_char @ Exp1_53 @ Bop_4 @ Exp2_53 )
!= ( fAss_list_char @ Exp1_52 @ List1_23 @ List2_23 @ Exp2_52 ) ) ).
thf(fact_749_exp_Osimps_I101_J,axiom,
! [Exp1_51: exp_list_char,List1_22: list_char,List2_22: list_char,Exp2_51: exp_list_char,Exp1_50: exp_list_char,Bop_3: bop,Exp2_50: exp_list_char] :
( ( fAss_list_char @ Exp1_51 @ List1_22 @ List2_22 @ Exp2_51 )
!= ( binOp_list_char @ Exp1_50 @ Bop_3 @ Exp2_50 ) ) ).
thf(fact_750_exp_Osimps_I61_J,axiom,
! [Exp1_49: exp_list_char,Exp2_49: exp_list_char,List_20: list_char,Exp_57: exp_list_char] :
( ( seq_list_char @ Exp1_49 @ Exp2_49 )
!= ( cast_list_char @ List_20 @ Exp_57 ) ) ).
thf(fact_751_exp_Osimps_I60_J,axiom,
! [List_19: list_char,Exp_56: exp_list_char,Exp1_48: exp_list_char,Exp2_48: exp_list_char] :
( ( cast_list_char @ List_19 @ Exp_56 )
!= ( seq_list_char @ Exp1_48 @ Exp2_48 ) ) ).
thf(fact_752_exp_Osimps_I50_J,axiom,
! [List_18: list_char,Exp_55: exp_list_char,A_51: list_char,Exp_54: exp_list_char] :
( ( cast_list_char @ List_18 @ Exp_55 )
!= ( lAss_list_char @ A_51 @ Exp_54 ) ) ).
thf(fact_753_exp_Osimps_I51_J,axiom,
! [A_50: list_char,Exp_53: exp_list_char,List_17: list_char,Exp_52: exp_list_char] :
( ( lAss_list_char @ A_50 @ Exp_53 )
!= ( cast_list_char @ List_17 @ Exp_52 ) ) ).
thf(fact_754_exp_Osimps_I206_J,axiom,
! [Exp1_47: exp_list_char,Exp2_47: exp_list_char,Exp1_46: exp_list_char,Exp2_46: exp_list_char,Exp3_7: exp_list_char] :
( ( seq_list_char @ Exp1_47 @ Exp2_47 )
!= ( cond_list_char @ Exp1_46 @ Exp2_46 @ Exp3_7 ) ) ).
thf(fact_755_exp_Osimps_I146_J,axiom,
! [A_49: list_char,Exp_51: exp_list_char,Exp1_45: exp_list_char,Exp2_45: exp_list_char,Exp3_6: exp_list_char] :
( ( lAss_list_char @ A_49 @ Exp_51 )
!= ( cond_list_char @ Exp1_45 @ Exp2_45 @ Exp3_6 ) ) ).
thf(fact_756_exp_Osimps_I54_J,axiom,
! [List_16: list_char,Exp_50: exp_list_char,Exp1_44: exp_list_char,List1_21: list_char,List2_21: list_char,Exp2_44: exp_list_char] :
( ( cast_list_char @ List_16 @ Exp_50 )
!= ( fAss_list_char @ Exp1_44 @ List1_21 @ List2_21 @ Exp2_44 ) ) ).
thf(fact_757_exp_Osimps_I207_J,axiom,
! [Exp1_43: exp_list_char,Exp2_43: exp_list_char,Exp3_5: exp_list_char,Exp1_42: exp_list_char,Exp2_42: exp_list_char] :
( ( cond_list_char @ Exp1_43 @ Exp2_43 @ Exp3_5 )
!= ( seq_list_char @ Exp1_42 @ Exp2_42 ) ) ).
thf(fact_758_exp_Osimps_I147_J,axiom,
! [Exp1_41: exp_list_char,Exp2_41: exp_list_char,Exp3_4: exp_list_char,A_48: list_char,Exp_49: exp_list_char] :
( ( cond_list_char @ Exp1_41 @ Exp2_41 @ Exp3_4 )
!= ( lAss_list_char @ A_48 @ Exp_49 ) ) ).
thf(fact_759_exp_Osimps_I177_J,axiom,
! [Exp1_40: exp_list_char,Exp2_40: exp_list_char,Exp3_3: exp_list_char,Exp1_39: exp_list_char,List1_20: list_char,List2_20: list_char,Exp2_39: exp_list_char] :
( ( cond_list_char @ Exp1_40 @ Exp2_40 @ Exp3_3 )
!= ( fAss_list_char @ Exp1_39 @ List1_20 @ List2_20 @ Exp2_39 ) ) ).
thf(fact_760_exp_Osimps_I55_J,axiom,
! [Exp1_38: exp_list_char,List1_19: list_char,List2_19: list_char,Exp2_38: exp_list_char,List_15: list_char,Exp_48: exp_list_char] :
( ( fAss_list_char @ Exp1_38 @ List1_19 @ List2_19 @ Exp2_38 )
!= ( cast_list_char @ List_15 @ Exp_48 ) ) ).
thf(fact_761_exp_Osimps_I176_J,axiom,
! [Exp1_37: exp_list_char,List1_18: list_char,List2_18: list_char,Exp2_37: exp_list_char,Exp1_36: exp_list_char,Exp2_36: exp_list_char,Exp3_2: exp_list_char] :
( ( fAss_list_char @ Exp1_37 @ List1_18 @ List2_18 @ Exp2_37 )
!= ( cond_list_char @ Exp1_36 @ Exp2_36 @ Exp3_2 ) ) ).
thf(fact_762_exp_Osimps_I161_J,axiom,
! [Exp1_35: exp_list_char,Exp2_35: exp_list_char,Exp_47: exp_list_char,List1_17: list_char,List2_17: list_char] :
( ( seq_list_char @ Exp1_35 @ Exp2_35 )
!= ( fAcc_list_char @ Exp_47 @ List1_17 @ List2_17 ) ) ).
thf(fact_763_exp_Osimps_I136_J,axiom,
! [A_47: list_char,Exp_46: exp_list_char,Exp_45: exp_list_char,List1_16: list_char,List2_16: list_char] :
( ( lAss_list_char @ A_47 @ Exp_46 )
!= ( fAcc_list_char @ Exp_45 @ List1_16 @ List2_16 ) ) ).
thf(fact_764_exp_Osimps_I160_J,axiom,
! [Exp_44: exp_list_char,List1_15: list_char,List2_15: list_char,Exp1_34: exp_list_char,Exp2_34: exp_list_char] :
( ( fAcc_list_char @ Exp_44 @ List1_15 @ List2_15 )
!= ( seq_list_char @ Exp1_34 @ Exp2_34 ) ) ).
thf(fact_765_exp_Osimps_I137_J,axiom,
! [Exp_43: exp_list_char,List1_14: list_char,List2_14: list_char,A_46: list_char,Exp_42: exp_list_char] :
( ( fAcc_list_char @ Exp_43 @ List1_14 @ List2_14 )
!= ( lAss_list_char @ A_46 @ Exp_42 ) ) ).
thf(fact_766_exp_Osimps_I154_J,axiom,
! [Exp_41: exp_list_char,List1_13: list_char,List2_13: list_char,Exp1_33: exp_list_char,List1_12: list_char,List2_12: list_char,Exp2_33: exp_list_char] :
( ( fAcc_list_char @ Exp_41 @ List1_13 @ List2_13 )
!= ( fAss_list_char @ Exp1_33 @ List1_12 @ List2_12 @ Exp2_33 ) ) ).
thf(fact_767_exp_Osimps_I155_J,axiom,
! [Exp1_32: exp_list_char,List1_11: list_char,List2_11: list_char,Exp2_32: exp_list_char,Exp_40: exp_list_char,List1_10: list_char,List2_10: list_char] :
( ( fAss_list_char @ Exp1_32 @ List1_11 @ List2_11 @ Exp2_32 )
!= ( fAcc_list_char @ Exp_40 @ List1_10 @ List2_10 ) ) ).
thf(fact_768_exp_Osimps_I212_J,axiom,
! [Exp1_31: exp_list_char,Exp2_31: exp_list_char,Exp1_30: exp_list_char,List_14: list_char,A_45: list_char,Exp2_30: exp_list_char] :
( ( seq_list_char @ Exp1_31 @ Exp2_31 )
!= ( tryCatch_list_char @ Exp1_30 @ List_14 @ A_45 @ Exp2_30 ) ) ).
thf(fact_769_exp_Osimps_I152_J,axiom,
! [A_44: list_char,Exp_39: exp_list_char,Exp1_29: exp_list_char,List_13: list_char,A_43: list_char,Exp2_29: exp_list_char] :
( ( lAss_list_char @ A_44 @ Exp_39 )
!= ( tryCatch_list_char @ Exp1_29 @ List_13 @ A_43 @ Exp2_29 ) ) ).
thf(fact_770_exp_Osimps_I213_J,axiom,
! [Exp1_28: exp_list_char,List_12: list_char,A_42: list_char,Exp2_28: exp_list_char,Exp1_27: exp_list_char,Exp2_27: exp_list_char] :
( ( tryCatch_list_char @ Exp1_28 @ List_12 @ A_42 @ Exp2_28 )
!= ( seq_list_char @ Exp1_27 @ Exp2_27 ) ) ).
thf(fact_771_exp_Osimps_I153_J,axiom,
! [Exp1_26: exp_list_char,List_11: list_char,A_41: list_char,Exp2_26: exp_list_char,A_40: list_char,Exp_38: exp_list_char] :
( ( tryCatch_list_char @ Exp1_26 @ List_11 @ A_41 @ Exp2_26 )
!= ( lAss_list_char @ A_40 @ Exp_38 ) ) ).
thf(fact_772_exp_Osimps_I182_J,axiom,
! [Exp1_25: exp_list_char,List1_9: list_char,List2_9: list_char,Exp2_25: exp_list_char,Exp1_24: exp_list_char,List_10: list_char,A_39: list_char,Exp2_24: exp_list_char] :
( ( fAss_list_char @ Exp1_25 @ List1_9 @ List2_9 @ Exp2_25 )
!= ( tryCatch_list_char @ Exp1_24 @ List_10 @ A_39 @ Exp2_24 ) ) ).
thf(fact_773_exp_Osimps_I183_J,axiom,
! [Exp1_23: exp_list_char,List_9: list_char,A_38: list_char,Exp2_23: exp_list_char,Exp1_22: exp_list_char,List1_8: list_char,List2_8: list_char,Exp2_22: exp_list_char] :
( ( tryCatch_list_char @ Exp1_23 @ List_9 @ A_38 @ Exp2_23 )
!= ( fAss_list_char @ Exp1_22 @ List1_8 @ List2_8 @ Exp2_22 ) ) ).
thf(fact_774_exp_Osimps_I178_J,axiom,
! [Exp1_21: exp_list_char,List1_7: list_char,List2_7: list_char,Exp2_21: exp_list_char,Exp1_20: exp_list_char,Exp2_20: exp_list_char] :
( ( fAss_list_char @ Exp1_21 @ List1_7 @ List2_7 @ Exp2_21 )
!= ( while_list_char @ Exp1_20 @ Exp2_20 ) ) ).
thf(fact_775_exp_Osimps_I179_J,axiom,
! [Exp1_19: exp_list_char,Exp2_19: exp_list_char,Exp1_18: exp_list_char,List1_6: list_char,List2_6: list_char,Exp2_18: exp_list_char] :
( ( while_list_char @ Exp1_19 @ Exp2_19 )
!= ( fAss_list_char @ Exp1_18 @ List1_6 @ List2_6 @ Exp2_18 ) ) ).
thf(fact_776_exp_Osimps_I149_J,axiom,
! [Exp1_17: exp_list_char,Exp2_17: exp_list_char,A_37: list_char,Exp_37: exp_list_char] :
( ( while_list_char @ Exp1_17 @ Exp2_17 )
!= ( lAss_list_char @ A_37 @ Exp_37 ) ) ).
thf(fact_777_exp_Osimps_I209_J,axiom,
! [Exp1_16: exp_list_char,Exp2_16: exp_list_char,Exp1_15: exp_list_char,Exp2_15: exp_list_char] :
( ( while_list_char @ Exp1_16 @ Exp2_16 )
!= ( seq_list_char @ Exp1_15 @ Exp2_15 ) ) ).
thf(fact_778_exp_Osimps_I148_J,axiom,
! [A_36: list_char,Exp_36: exp_list_char,Exp1_14: exp_list_char,Exp2_14: exp_list_char] :
( ( lAss_list_char @ A_36 @ Exp_36 )
!= ( while_list_char @ Exp1_14 @ Exp2_14 ) ) ).
thf(fact_779_exp_Osimps_I208_J,axiom,
! [Exp1_13: exp_list_char,Exp2_13: exp_list_char,Exp1_12: exp_list_char,Exp2_12: exp_list_char] :
( ( seq_list_char @ Exp1_13 @ Exp2_13 )
!= ( while_list_char @ Exp1_12 @ Exp2_12 ) ) ).
thf(fact_780_val_Osimps_I5_J,axiom,
null != unit ).
thf(fact_781_val_Osimps_I4_J,axiom,
unit != null ).
thf(fact_782_val_Osimps_I6_J,axiom,
! [Bool_1: $o] :
( unit
!= ( bool @ Bool_1 ) ) ).
thf(fact_783_val_Osimps_I7_J,axiom,
! [Bool_1: $o] :
( ( bool @ Bool_1 )
!= unit ) ).
thf(fact_784_red__reds_OLAssRed,axiom,
! [V: list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( red @ P ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( lAss_list_char @ V @ E_1 ) @ S_1 ) @ ( produc235638504on_val @ ( lAss_list_char @ V @ E ) @ S ) ) @ ( red @ P ) ) ) ).
thf(fact_785_red__reds_OSeqRed,axiom,
! [E_2_1: exp_list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( red @ P ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( seq_list_char @ E_1 @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( seq_list_char @ E @ E_2_1 ) @ S ) ) @ ( red @ P ) ) ) ).
thf(fact_786_red__reds_OFAssRed1,axiom,
! [F: list_char,D: list_char,E_2_1: exp_list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( red @ P ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ E_1 @ F @ D @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( fAss_list_char @ E @ F @ D @ E_2_1 ) @ S ) ) @ ( red @ P ) ) ) ).
thf(fact_787_red__reds_OCallThrowParams,axiom,
! [V_1: val,M: list_char,S_1: produc2090907612on_val,P: list_P1999446415t_char,Es_1: list_exp_list_char,Vs_1: list_val,E_1: exp_list_char,Es: list_exp_list_char] :
( ( Es_1
= ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ Vs_1 ) @ ( cons_exp_list_char @ ( throw_list_char @ E_1 ) @ Es ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ V_1 ) @ M @ Es_1 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_1 ) ) @ ( red @ P ) ) ) ).
thf(fact_788_red__reds_ORedWhile,axiom,
! [B: exp_list_char,C_2: exp_list_char,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( while_list_char @ B @ C_2 ) @ S_1 ) @ ( produc235638504on_val @ ( cond_list_char @ B @ ( seq_list_char @ C_2 @ ( while_list_char @ B @ C_2 ) ) @ ( val_list_char @ unit ) ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_789_red__reds_ORedSeq,axiom,
! [V_1: val,E_2_1: exp_list_char,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( seq_list_char @ ( val_list_char @ V_1 ) @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ E_2_1 @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_790_red__reds_OSeqThrow,axiom,
! [E_1: exp_list_char,E_2_1: exp_list_char,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( seq_list_char @ ( throw_list_char @ E_1 ) @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_791_red__reds_OLAssThrow,axiom,
! [V: list_char,E_1: exp_list_char,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( lAss_list_char @ V @ ( throw_list_char @ E_1 ) ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_792_LAssReds,axiom,
! [V: list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( lAss_list_char @ V @ E_1 ) @ S_1 ) @ ( produc235638504on_val @ ( lAss_list_char @ V @ E ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_793_SeqReds,axiom,
! [E_2_1: exp_list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( seq_list_char @ E_1 @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( seq_list_char @ E @ E_2_1 ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_794_red__reds_OFAssRed2,axiom,
! [V_1: val,F: list_char,D: list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( red @ P ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ V_1 ) @ F @ D @ E_1 ) @ S_1 ) @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ V_1 ) @ F @ D @ E ) @ S ) ) @ ( red @ P ) ) ) ).
thf(fact_795_red__reds_OFAssThrow1,axiom,
! [E_1: exp_list_char,F: list_char,D: list_char,E_2_1: exp_list_char,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ ( throw_list_char @ E_1 ) @ F @ D @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_796_FAssReds1,axiom,
! [F: list_char,D: list_char,E_2_1: exp_list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ E_1 @ F @ D @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( fAss_list_char @ E @ F @ D @ E_2_1 ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_797_SeqReds2,axiom,
! [E_2_1: exp_list_char,E_2_2: exp_list_char,S_2_1: produc2090907612on_val,E_1_1: exp_list_char,S_0: produc2090907612on_val,V_1_1: val,S_1_1: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1_1 @ S_0 ) @ ( produc235638504on_val @ ( val_list_char @ V_1_1 ) @ S_1_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_2_1 @ S_1_1 ) @ ( produc235638504on_val @ E_2_2 @ S_2_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( seq_list_char @ E_1_1 @ E_2_1 ) @ S_0 ) @ ( produc235638504on_val @ E_2_2 @ S_2_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ).
thf(fact_798_WTrt__elim__cases_I4_J,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,T_3: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ ( throw_list_char @ E_1 ) @ T_3 )
=> ~ ! [T_r_1: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ T_r_1 )
=> ~ ( is_refT @ T_r_1 ) ) ) ).
thf(fact_799_map__append,axiom,
! [F_5: produc245756905har_ty > produc469582463har_ty,Xs_12: list_P2023964830har_ty,Ys_9: list_P2023964830har_ty] :
( ( map_Pr1267419400har_ty @ F_5 @ ( append590652462har_ty @ Xs_12 @ Ys_9 ) )
= ( append814478020har_ty @ ( map_Pr1267419400har_ty @ F_5 @ Xs_12 ) @ ( map_Pr1267419400har_ty @ F_5 @ Ys_9 ) ) ) ).
thf(fact_800_map__append,axiom,
! [F_5: produc917948472har_ty > produc245756905har_ty,Xs_12: list_P1940453997har_ty,Ys_9: list_P1940453997har_ty] :
( ( map_Pr1471044963har_ty @ F_5 @ ( append1373980413har_ty @ Xs_12 @ Ys_9 ) )
= ( append590652462har_ty @ ( map_Pr1471044963har_ty @ F_5 @ Xs_12 ) @ ( map_Pr1471044963har_ty @ F_5 @ Ys_9 ) ) ) ).
thf(fact_801_map__append,axiom,
! [F_5: list_char > val,Xs_12: list_list_char,Ys_9: list_list_char] :
( ( map_list_char_val @ F_5 @ ( append_list_char @ Xs_12 @ Ys_9 ) )
= ( append_val @ ( map_list_char_val @ F_5 @ Xs_12 ) @ ( map_list_char_val @ F_5 @ Ys_9 ) ) ) ).
thf(fact_802_map__append,axiom,
! [F_5: ty > option_ty,Xs_12: list_ty,Ys_9: list_ty] :
( ( map_ty_option_ty @ F_5 @ ( append_ty @ Xs_12 @ Ys_9 ) )
= ( append_option_ty @ ( map_ty_option_ty @ F_5 @ Xs_12 ) @ ( map_ty_option_ty @ F_5 @ Ys_9 ) ) ) ).
thf(fact_803_map__append,axiom,
! [F_5: val > option_ty,Xs_12: list_val,Ys_9: list_val] :
( ( map_val_option_ty @ F_5 @ ( append_val @ Xs_12 @ Ys_9 ) )
= ( append_option_ty @ ( map_val_option_ty @ F_5 @ Xs_12 ) @ ( map_val_option_ty @ F_5 @ Ys_9 ) ) ) ).
thf(fact_804_map__append,axiom,
! [F_5: val > exp_list_char,Xs_12: list_val,Ys_9: list_val] :
( ( map_va1934808527t_char @ F_5 @ ( append_val @ Xs_12 @ Ys_9 ) )
= ( append_exp_list_char @ ( map_va1934808527t_char @ F_5 @ Xs_12 ) @ ( map_va1934808527t_char @ F_5 @ Ys_9 ) ) ) ).
thf(fact_805_Cons__eq__appendI,axiom,
! [Xs_11: list_P2023964830har_ty,Zs_6: list_P2023964830har_ty,X_11: produc245756905har_ty,Xs1_1: list_P2023964830har_ty,Ys_8: list_P2023964830har_ty] :
( ( ( cons_P796333129har_ty @ X_11 @ Xs1_1 )
= Ys_8 )
=> ( ( Xs_11
= ( append590652462har_ty @ Xs1_1 @ Zs_6 ) )
=> ( ( cons_P796333129har_ty @ X_11 @ Xs_11 )
= ( append590652462har_ty @ Ys_8 @ Zs_6 ) ) ) ) ).
thf(fact_806_Cons__eq__appendI,axiom,
! [Xs_11: list_exp_list_char,Zs_6: list_exp_list_char,X_11: exp_list_char,Xs1_1: list_exp_list_char,Ys_8: list_exp_list_char] :
( ( ( cons_exp_list_char @ X_11 @ Xs1_1 )
= Ys_8 )
=> ( ( Xs_11
= ( append_exp_list_char @ Xs1_1 @ Zs_6 ) )
=> ( ( cons_exp_list_char @ X_11 @ Xs_11 )
= ( append_exp_list_char @ Ys_8 @ Zs_6 ) ) ) ) ).
thf(fact_807_Cons__eq__appendI,axiom,
! [Xs_11: list_val,Zs_6: list_val,X_11: val,Xs1_1: list_val,Ys_8: list_val] :
( ( ( cons_val @ X_11 @ Xs1_1 )
= Ys_8 )
=> ( ( Xs_11
= ( append_val @ Xs1_1 @ Zs_6 ) )
=> ( ( cons_val @ X_11 @ Xs_11 )
= ( append_val @ Ys_8 @ Zs_6 ) ) ) ) ).
thf(fact_808_Cons__eq__appendI,axiom,
! [Xs_11: list_ty,Zs_6: list_ty,X_11: ty,Xs1_1: list_ty,Ys_8: list_ty] :
( ( ( cons_ty @ X_11 @ Xs1_1 )
= Ys_8 )
=> ( ( Xs_11
= ( append_ty @ Xs1_1 @ Zs_6 ) )
=> ( ( cons_ty @ X_11 @ Xs_11 )
= ( append_ty @ Ys_8 @ Zs_6 ) ) ) ) ).
thf(fact_809_Cons__eq__appendI,axiom,
! [Xs_11: list_list_char,Zs_6: list_list_char,X_11: list_char,Xs1_1: list_list_char,Ys_8: list_list_char] :
( ( ( cons_list_char @ X_11 @ Xs1_1 )
= Ys_8 )
=> ( ( Xs_11
= ( append_list_char @ Xs1_1 @ Zs_6 ) )
=> ( ( cons_list_char @ X_11 @ Xs_11 )
= ( append_list_char @ Ys_8 @ Zs_6 ) ) ) ) ).
thf(fact_810_append__Cons,axiom,
! [X_10: produc245756905har_ty,Xs_10: list_P2023964830har_ty,Ys_7: list_P2023964830har_ty] :
( ( append590652462har_ty @ ( cons_P796333129har_ty @ X_10 @ Xs_10 ) @ Ys_7 )
= ( cons_P796333129har_ty @ X_10 @ ( append590652462har_ty @ Xs_10 @ Ys_7 ) ) ) ).
thf(fact_811_append__Cons,axiom,
! [X_10: exp_list_char,Xs_10: list_exp_list_char,Ys_7: list_exp_list_char] :
( ( append_exp_list_char @ ( cons_exp_list_char @ X_10 @ Xs_10 ) @ Ys_7 )
= ( cons_exp_list_char @ X_10 @ ( append_exp_list_char @ Xs_10 @ Ys_7 ) ) ) ).
thf(fact_812_append__Cons,axiom,
! [X_10: val,Xs_10: list_val,Ys_7: list_val] :
( ( append_val @ ( cons_val @ X_10 @ Xs_10 ) @ Ys_7 )
= ( cons_val @ X_10 @ ( append_val @ Xs_10 @ Ys_7 ) ) ) ).
thf(fact_813_append__Cons,axiom,
! [X_10: ty,Xs_10: list_ty,Ys_7: list_ty] :
( ( append_ty @ ( cons_ty @ X_10 @ Xs_10 ) @ Ys_7 )
= ( cons_ty @ X_10 @ ( append_ty @ Xs_10 @ Ys_7 ) ) ) ).
thf(fact_814_append__Cons,axiom,
! [X_10: list_char,Xs_10: list_list_char,Ys_7: list_list_char] :
( ( append_list_char @ ( cons_list_char @ X_10 @ Xs_10 ) @ Ys_7 )
= ( cons_list_char @ X_10 @ ( append_list_char @ Xs_10 @ Ys_7 ) ) ) ).
thf(fact_815_map_Osimps_I2_J,axiom,
! [F_4: produc245756905har_ty > produc469582463har_ty,X_9: produc245756905har_ty,Xs_9: list_P2023964830har_ty] :
( ( map_Pr1267419400har_ty @ F_4 @ ( cons_P796333129har_ty @ X_9 @ Xs_9 ) )
= ( cons_P1020158687har_ty @ ( F_4 @ X_9 ) @ ( map_Pr1267419400har_ty @ F_4 @ Xs_9 ) ) ) ).
thf(fact_816_map_Osimps_I2_J,axiom,
! [F_4: produc917948472har_ty > produc245756905har_ty,X_9: produc917948472har_ty,Xs_9: list_P1940453997har_ty] :
( ( map_Pr1471044963har_ty @ F_4 @ ( cons_P306092184har_ty @ X_9 @ Xs_9 ) )
= ( cons_P796333129har_ty @ ( F_4 @ X_9 ) @ ( map_Pr1471044963har_ty @ F_4 @ Xs_9 ) ) ) ).
thf(fact_817_map_Osimps_I2_J,axiom,
! [F_4: list_char > val,X_9: list_char,Xs_9: list_list_char] :
( ( map_list_char_val @ F_4 @ ( cons_list_char @ X_9 @ Xs_9 ) )
= ( cons_val @ ( F_4 @ X_9 ) @ ( map_list_char_val @ F_4 @ Xs_9 ) ) ) ).
thf(fact_818_map_Osimps_I2_J,axiom,
! [F_4: ty > option_ty,X_9: ty,Xs_9: list_ty] :
( ( map_ty_option_ty @ F_4 @ ( cons_ty @ X_9 @ Xs_9 ) )
= ( cons_option_ty @ ( F_4 @ X_9 ) @ ( map_ty_option_ty @ F_4 @ Xs_9 ) ) ) ).
thf(fact_819_map_Osimps_I2_J,axiom,
! [F_4: val > option_ty,X_9: val,Xs_9: list_val] :
( ( map_val_option_ty @ F_4 @ ( cons_val @ X_9 @ Xs_9 ) )
= ( cons_option_ty @ ( F_4 @ X_9 ) @ ( map_val_option_ty @ F_4 @ Xs_9 ) ) ) ).
thf(fact_820_map_Osimps_I2_J,axiom,
! [F_4: val > exp_list_char,X_9: val,Xs_9: list_val] :
( ( map_va1934808527t_char @ F_4 @ ( cons_val @ X_9 @ Xs_9 ) )
= ( cons_exp_list_char @ ( F_4 @ X_9 ) @ ( map_va1934808527t_char @ F_4 @ Xs_9 ) ) ) ).
thf(fact_821_redp__redsp_OCallThrowParams,axiom,
! [P: list_P1999446415t_char,V_1: val,M: list_char,S_1: produc2090907612on_val,Es_1: list_exp_list_char,Vs_1: list_val,E_1: exp_list_char,Es: list_exp_list_char] :
( ( Es_1
= ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ Vs_1 ) @ ( cons_exp_list_char @ ( throw_list_char @ E_1 ) @ Es ) ) )
=> ( redp @ P @ ( call_list_char @ ( val_list_char @ V_1 ) @ M @ Es_1 ) @ S_1 @ ( throw_list_char @ E_1 ) @ S_1 ) ) ).
thf(fact_822_red__reds_ORedInitBlock,axiom,
! [V: list_char,T_3: ty,V_1: val,U: val,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ V @ T_3 @ ( seq_list_char @ ( lAss_list_char @ V @ ( val_list_char @ V_1 ) ) @ ( val_list_char @ U ) ) ) @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ U ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_823_finals__app__map,axiom,
! [Vs_3: list_val,Es_6: list_exp_list_char] :
( ( finals_list_char @ ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ Vs_3 ) @ Es_6 ) )
<=> ( finals_list_char @ Es_6 ) ) ).
thf(fact_824_exp_Osimps_I10_J,axiom,
! [A_35: list_char,Ty_25: ty,Exp_35: exp_list_char,A_34: list_char,Ty_24: ty,Exp_34: exp_list_char] :
( ( ( block_list_char @ A_35 @ Ty_25 @ Exp_35 )
= ( block_list_char @ A_34 @ Ty_24 @ Exp_34 ) )
<=> ( ( A_35 = A_34 )
& ( Ty_25 = Ty_24 )
& ( Exp_35 = Exp_34 ) ) ) ).
thf(fact_825_redp__redsp_ORedBlock,axiom,
! [P: list_P1999446415t_char,V: list_char,T_3: ty,U: val,S_1: produc2090907612on_val] : ( redp @ P @ ( block_list_char @ V @ T_3 @ ( val_list_char @ U ) ) @ S_1 @ ( val_list_char @ U ) @ S_1 ) ).
thf(fact_826_redp__redsp_OThrowThrow,axiom,
! [P: list_P1999446415t_char,E_1: exp_list_char,S_1: produc2090907612on_val] : ( redp @ P @ ( throw_list_char @ ( throw_list_char @ E_1 ) ) @ S_1 @ ( throw_list_char @ E_1 ) @ S_1 ) ).
thf(fact_827_redp__redsp_OThrowRed,axiom,
! [P: list_P1999446415t_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( redp @ P @ E_1 @ S_1 @ E @ S )
=> ( redp @ P @ ( throw_list_char @ E_1 ) @ S_1 @ ( throw_list_char @ E ) @ S ) ) ).
thf(fact_828_redp__redsp_OSeqRed,axiom,
! [E_2_1: exp_list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( redp @ P @ E_1 @ S_1 @ E @ S )
=> ( redp @ P @ ( seq_list_char @ E_1 @ E_2_1 ) @ S_1 @ ( seq_list_char @ E @ E_2_1 ) @ S ) ) ).
thf(fact_829_redp__redsp_OLAssRed,axiom,
! [V: list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( redp @ P @ E_1 @ S_1 @ E @ S )
=> ( redp @ P @ ( lAss_list_char @ V @ E_1 ) @ S_1 @ ( lAss_list_char @ V @ E ) @ S ) ) ).
thf(fact_830_redp__redsp_OCallObj,axiom,
! [M: list_char,Es_1: list_exp_list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( redp @ P @ E_1 @ S_1 @ E @ S )
=> ( redp @ P @ ( call_list_char @ E_1 @ M @ Es_1 ) @ S_1 @ ( call_list_char @ E @ M @ Es_1 ) @ S ) ) ).
thf(fact_831_redp__redsp_OFAssRed1,axiom,
! [F: list_char,D: list_char,E_2_1: exp_list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( redp @ P @ E_1 @ S_1 @ E @ S )
=> ( redp @ P @ ( fAss_list_char @ E_1 @ F @ D @ E_2_1 ) @ S_1 @ ( fAss_list_char @ E @ F @ D @ E_2_1 ) @ S ) ) ).
thf(fact_832_redp__redsp_OBinOpRed1,axiom,
! [Bop: bop,E_2_1: exp_list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( redp @ P @ E_1 @ S_1 @ E @ S )
=> ( redp @ P @ ( binOp_list_char @ E_1 @ Bop @ E_2_1 ) @ S_1 @ ( binOp_list_char @ E @ Bop @ E_2_1 ) @ S ) ) ).
thf(fact_833_redp__redsp_OCastRed,axiom,
! [C: list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( redp @ P @ E_1 @ S_1 @ E @ S )
=> ( redp @ P @ ( cast_list_char @ C @ E_1 ) @ S_1 @ ( cast_list_char @ C @ E ) @ S ) ) ).
thf(fact_834_redp__redsp_OCondRed,axiom,
! [E_1_1: exp_list_char,E_2_1: exp_list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( redp @ P @ E_1 @ S_1 @ E @ S )
=> ( redp @ P @ ( cond_list_char @ E_1 @ E_1_1 @ E_2_1 ) @ S_1 @ ( cond_list_char @ E @ E_1_1 @ E_2_1 ) @ S ) ) ).
thf(fact_835_redp__redsp_OFAccRed,axiom,
! [F: list_char,D: list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( redp @ P @ E_1 @ S_1 @ E @ S )
=> ( redp @ P @ ( fAcc_list_char @ E_1 @ F @ D ) @ S_1 @ ( fAcc_list_char @ E @ F @ D ) @ S ) ) ).
thf(fact_836_redp__redsp_OTryRed,axiom,
! [C: list_char,V: list_char,E_2_1: exp_list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( redp @ P @ E_1 @ S_1 @ E @ S )
=> ( redp @ P @ ( tryCatch_list_char @ E_1 @ C @ V @ E_2_1 ) @ S_1 @ ( tryCatch_list_char @ E @ C @ V @ E_2_1 ) @ S ) ) ).
thf(fact_837_exp_Osimps_I83_J,axiom,
! [A_33: list_char,Ty_23: ty,Exp_33: exp_list_char,Val_1: val] :
( ( block_list_char @ A_33 @ Ty_23 @ Exp_33 )
!= ( val_list_char @ Val_1 ) ) ).
thf(fact_838_exp_Osimps_I82_J,axiom,
! [Val: val,A_32: list_char,Ty_22: ty,Exp_32: exp_list_char] :
( ( val_list_char @ Val )
!= ( block_list_char @ A_32 @ Ty_22 @ Exp_32 ) ) ).
thf(fact_839_exp_Osimps_I203_J,axiom,
! [Exp_31: exp_list_char,A_31: list_char,Ty_21: ty,Exp_30: exp_list_char] :
( ( throw_list_char @ Exp_31 )
!= ( block_list_char @ A_31 @ Ty_21 @ Exp_30 ) ) ).
thf(fact_840_exp_Osimps_I202_J,axiom,
! [A_30: list_char,Ty_20: ty,Exp_29: exp_list_char,Exp_28: exp_list_char] :
( ( block_list_char @ A_30 @ Ty_20 @ Exp_29 )
!= ( throw_list_char @ Exp_28 ) ) ).
thf(fact_841_exp_Osimps_I197_J,axiom,
! [Exp1_11: exp_list_char,Exp2_11: exp_list_char,A_29: list_char,Ty_19: ty,Exp_27: exp_list_char] :
( ( seq_list_char @ Exp1_11 @ Exp2_11 )
!= ( block_list_char @ A_29 @ Ty_19 @ Exp_27 ) ) ).
thf(fact_842_exp_Osimps_I142_J,axiom,
! [A_28: list_char,Exp_26: exp_list_char,A_27: list_char,Ty_18: ty,Exp_25: exp_list_char] :
( ( lAss_list_char @ A_28 @ Exp_26 )
!= ( block_list_char @ A_27 @ Ty_18 @ Exp_25 ) ) ).
thf(fact_843_exp_Osimps_I196_J,axiom,
! [A_26: list_char,Ty_17: ty,Exp_24: exp_list_char,Exp1_10: exp_list_char,Exp2_10: exp_list_char] :
( ( block_list_char @ A_26 @ Ty_17 @ Exp_24 )
!= ( seq_list_char @ Exp1_10 @ Exp2_10 ) ) ).
thf(fact_844_exp_Osimps_I143_J,axiom,
! [A_25: list_char,Ty_16: ty,Exp_23: exp_list_char,A_24: list_char,Exp_22: exp_list_char] :
( ( block_list_char @ A_25 @ Ty_16 @ Exp_23 )
!= ( lAss_list_char @ A_24 @ Exp_22 ) ) ).
thf(fact_845_exp_Osimps_I185_J,axiom,
! [A_23: list_char,Ty_15: ty,Exp_21: exp_list_char,Exp_20: exp_list_char,List1_5: list_char,List2_5: list_exp_list_char] :
( ( block_list_char @ A_23 @ Ty_15 @ Exp_21 )
!= ( call_list_char @ Exp_20 @ List1_5 @ List2_5 ) ) ).
thf(fact_846_exp_Osimps_I184_J,axiom,
! [Exp_19: exp_list_char,List1_4: list_char,List2_4: list_exp_list_char,A_22: list_char,Ty_14: ty,Exp_18: exp_list_char] :
( ( call_list_char @ Exp_19 @ List1_4 @ List2_4 )
!= ( block_list_char @ A_22 @ Ty_14 @ Exp_18 ) ) ).
thf(fact_847_exp_Osimps_I173_J,axiom,
! [A_21: list_char,Ty_13: ty,Exp_17: exp_list_char,Exp1_9: exp_list_char,List1_3: list_char,List2_3: list_char,Exp2_9: exp_list_char] :
( ( block_list_char @ A_21 @ Ty_13 @ Exp_17 )
!= ( fAss_list_char @ Exp1_9 @ List1_3 @ List2_3 @ Exp2_9 ) ) ).
thf(fact_848_exp_Osimps_I172_J,axiom,
! [Exp1_8: exp_list_char,List1_2: list_char,List2_2: list_char,Exp2_8: exp_list_char,A_20: list_char,Ty_12: ty,Exp_16: exp_list_char] :
( ( fAss_list_char @ Exp1_8 @ List1_2 @ List2_2 @ Exp2_8 )
!= ( block_list_char @ A_20 @ Ty_12 @ Exp_16 ) ) ).
thf(fact_849_exp_Osimps_I105_J,axiom,
! [A_19: list_char,Ty_11: ty,Exp_15: exp_list_char,Exp1_7: exp_list_char,Bop_2: bop,Exp2_7: exp_list_char] :
( ( block_list_char @ A_19 @ Ty_11 @ Exp_15 )
!= ( binOp_list_char @ Exp1_7 @ Bop_2 @ Exp2_7 ) ) ).
thf(fact_850_exp_Osimps_I104_J,axiom,
! [Exp1_6: exp_list_char,Bop_1: bop,Exp2_6: exp_list_char,A_18: list_char,Ty_10: ty,Exp_14: exp_list_char] :
( ( binOp_list_char @ Exp1_6 @ Bop_1 @ Exp2_6 )
!= ( block_list_char @ A_18 @ Ty_10 @ Exp_14 ) ) ).
thf(fact_851_exp_Osimps_I198_J,axiom,
! [A_17: list_char,Ty_9: ty,Exp_13: exp_list_char,Exp1_5: exp_list_char,Exp2_5: exp_list_char,Exp3_1: exp_list_char] :
( ( block_list_char @ A_17 @ Ty_9 @ Exp_13 )
!= ( cond_list_char @ Exp1_5 @ Exp2_5 @ Exp3_1 ) ) ).
thf(fact_852_exp_Osimps_I199_J,axiom,
! [Exp1_4: exp_list_char,Exp2_4: exp_list_char,Exp3: exp_list_char,A_16: list_char,Ty_8: ty,Exp_12: exp_list_char] :
( ( cond_list_char @ Exp1_4 @ Exp2_4 @ Exp3 )
!= ( block_list_char @ A_16 @ Ty_8 @ Exp_12 ) ) ).
thf(fact_853_exp_Osimps_I59_J,axiom,
! [A_15: list_char,Ty_7: ty,Exp_11: exp_list_char,List_8: list_char,Exp_10: exp_list_char] :
( ( block_list_char @ A_15 @ Ty_7 @ Exp_11 )
!= ( cast_list_char @ List_8 @ Exp_10 ) ) ).
thf(fact_854_exp_Osimps_I58_J,axiom,
! [List_7: list_char,Exp_9: exp_list_char,A_14: list_char,Ty_6: ty,Exp_8: exp_list_char] :
( ( cast_list_char @ List_7 @ Exp_9 )
!= ( block_list_char @ A_14 @ Ty_6 @ Exp_8 ) ) ).
thf(fact_855_exp_Osimps_I159_J,axiom,
! [A_13: list_char,Ty_5: ty,Exp_7: exp_list_char,Exp_6: exp_list_char,List1_1: list_char,List2_1: list_char] :
( ( block_list_char @ A_13 @ Ty_5 @ Exp_7 )
!= ( fAcc_list_char @ Exp_6 @ List1_1 @ List2_1 ) ) ).
thf(fact_856_exp_Osimps_I158_J,axiom,
! [Exp_5: exp_list_char,List1: list_char,List2: list_char,A_12: list_char,Ty_4: ty,Exp_4: exp_list_char] :
( ( fAcc_list_char @ Exp_5 @ List1 @ List2 )
!= ( block_list_char @ A_12 @ Ty_4 @ Exp_4 ) ) ).
thf(fact_857_exp_Osimps_I201_J,axiom,
! [Exp1_3: exp_list_char,Exp2_3: exp_list_char,A_11: list_char,Ty_3: ty,Exp_3: exp_list_char] :
( ( while_list_char @ Exp1_3 @ Exp2_3 )
!= ( block_list_char @ A_11 @ Ty_3 @ Exp_3 ) ) ).
thf(fact_858_exp_Osimps_I200_J,axiom,
! [A_10: list_char,Ty_2: ty,Exp_2: exp_list_char,Exp1_2: exp_list_char,Exp2_2: exp_list_char] :
( ( block_list_char @ A_10 @ Ty_2 @ Exp_2 )
!= ( while_list_char @ Exp1_2 @ Exp2_2 ) ) ).
thf(fact_859_exp_Osimps_I205_J,axiom,
! [Exp1_1: exp_list_char,List_6: list_char,A_9: list_char,Exp2_1: exp_list_char,A_8: list_char,Ty_1: ty,Exp_1: exp_list_char] :
( ( tryCatch_list_char @ Exp1_1 @ List_6 @ A_9 @ Exp2_1 )
!= ( block_list_char @ A_8 @ Ty_1 @ Exp_1 ) ) ).
thf(fact_860_exp_Osimps_I204_J,axiom,
! [A_7: list_char,Ty: ty,Exp: exp_list_char,Exp1: exp_list_char,List_5: list_char,A_6: list_char,Exp2: exp_list_char] :
( ( block_list_char @ A_7 @ Ty @ Exp )
!= ( tryCatch_list_char @ Exp1 @ List_5 @ A_6 @ Exp2 ) ) ).
thf(fact_861_redp__redsp_ORedInitBlock,axiom,
! [P: list_P1999446415t_char,V: list_char,T_3: ty,V_1: val,U: val,S_1: produc2090907612on_val] : ( redp @ P @ ( block_list_char @ V @ T_3 @ ( seq_list_char @ ( lAss_list_char @ V @ ( val_list_char @ V_1 ) ) @ ( val_list_char @ U ) ) ) @ S_1 @ ( val_list_char @ U ) @ S_1 ) ).
thf(fact_862_redp__redsp_ORedSeq,axiom,
! [P: list_P1999446415t_char,V_1: val,E_2_1: exp_list_char,S_1: produc2090907612on_val] : ( redp @ P @ ( seq_list_char @ ( val_list_char @ V_1 ) @ E_2_1 ) @ S_1 @ E_2_1 @ S_1 ) ).
thf(fact_863_redp__redsp_OFAssRed2,axiom,
! [V_1: val,F: list_char,D: list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( redp @ P @ E_1 @ S_1 @ E @ S )
=> ( redp @ P @ ( fAss_list_char @ ( val_list_char @ V_1 ) @ F @ D @ E_1 ) @ S_1 @ ( fAss_list_char @ ( val_list_char @ V_1 ) @ F @ D @ E ) @ S ) ) ).
thf(fact_864_redp__redsp_OBinOpRed2,axiom,
! [V_1_1: val,Bop: bop,P: list_P1999446415t_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( redp @ P @ E_1 @ S_1 @ E @ S )
=> ( redp @ P @ ( binOp_list_char @ ( val_list_char @ V_1_1 ) @ Bop @ E_1 ) @ S_1 @ ( binOp_list_char @ ( val_list_char @ V_1_1 ) @ Bop @ E ) @ S ) ) ).
thf(fact_865_redp__redsp_OSeqThrow,axiom,
! [P: list_P1999446415t_char,E_1: exp_list_char,E_2_1: exp_list_char,S_1: produc2090907612on_val] : ( redp @ P @ ( seq_list_char @ ( throw_list_char @ E_1 ) @ E_2_1 ) @ S_1 @ ( throw_list_char @ E_1 ) @ S_1 ) ).
thf(fact_866_redp__redsp_OLAssThrow,axiom,
! [P: list_P1999446415t_char,V: list_char,E_1: exp_list_char,S_1: produc2090907612on_val] : ( redp @ P @ ( lAss_list_char @ V @ ( throw_list_char @ E_1 ) ) @ S_1 @ ( throw_list_char @ E_1 ) @ S_1 ) ).
thf(fact_867_redp__redsp_OCallThrowObj,axiom,
! [P: list_P1999446415t_char,E_1: exp_list_char,M: list_char,Es_1: list_exp_list_char,S_1: produc2090907612on_val] : ( redp @ P @ ( call_list_char @ ( throw_list_char @ E_1 ) @ M @ Es_1 ) @ S_1 @ ( throw_list_char @ E_1 ) @ S_1 ) ).
thf(fact_868_redp__redsp_OFAssThrow1,axiom,
! [P: list_P1999446415t_char,E_1: exp_list_char,F: list_char,D: list_char,E_2_1: exp_list_char,S_1: produc2090907612on_val] : ( redp @ P @ ( fAss_list_char @ ( throw_list_char @ E_1 ) @ F @ D @ E_2_1 ) @ S_1 @ ( throw_list_char @ E_1 ) @ S_1 ) ).
thf(fact_869_redp__redsp_OBinOpThrow1,axiom,
! [P: list_P1999446415t_char,E_1: exp_list_char,Bop: bop,E_2_1: exp_list_char,S_1: produc2090907612on_val] : ( redp @ P @ ( binOp_list_char @ ( throw_list_char @ E_1 ) @ Bop @ E_2_1 ) @ S_1 @ ( throw_list_char @ E_1 ) @ S_1 ) ).
thf(fact_870_redp__redsp_OCondThrow,axiom,
! [P: list_P1999446415t_char,E_1: exp_list_char,E_1_1: exp_list_char,E_2_1: exp_list_char,S_1: produc2090907612on_val] : ( redp @ P @ ( cond_list_char @ ( throw_list_char @ E_1 ) @ E_1_1 @ E_2_1 ) @ S_1 @ ( throw_list_char @ E_1 ) @ S_1 ) ).
thf(fact_871_redp__redsp_OCastThrow,axiom,
! [P: list_P1999446415t_char,C: list_char,E_1: exp_list_char,S_1: produc2090907612on_val] : ( redp @ P @ ( cast_list_char @ C @ ( throw_list_char @ E_1 ) ) @ S_1 @ ( throw_list_char @ E_1 ) @ S_1 ) ).
thf(fact_872_redp__redsp_ORedTry,axiom,
! [P: list_P1999446415t_char,V_1: val,C: list_char,V: list_char,E_2_1: exp_list_char,S_1: produc2090907612on_val] : ( redp @ P @ ( tryCatch_list_char @ ( val_list_char @ V_1 ) @ C @ V @ E_2_1 ) @ S_1 @ ( val_list_char @ V_1 ) @ S_1 ) ).
thf(fact_873_redp__redsp_OFAccThrow,axiom,
! [P: list_P1999446415t_char,E_1: exp_list_char,F: list_char,D: list_char,S_1: produc2090907612on_val] : ( redp @ P @ ( fAcc_list_char @ ( throw_list_char @ E_1 ) @ F @ D ) @ S_1 @ ( throw_list_char @ E_1 ) @ S_1 ) ).
thf(fact_874_redp__redsp_OFAssThrow2,axiom,
! [P: list_P1999446415t_char,V_1: val,F: list_char,D: list_char,E_1: exp_list_char,S_1: produc2090907612on_val] : ( redp @ P @ ( fAss_list_char @ ( val_list_char @ V_1 ) @ F @ D @ ( throw_list_char @ E_1 ) ) @ S_1 @ ( throw_list_char @ E_1 ) @ S_1 ) ).
thf(fact_875_redp__redsp_OBinOpThrow2,axiom,
! [P: list_P1999446415t_char,V_1_1: val,Bop: bop,E_1: exp_list_char,S_1: produc2090907612on_val] : ( redp @ P @ ( binOp_list_char @ ( val_list_char @ V_1_1 ) @ Bop @ ( throw_list_char @ E_1 ) ) @ S_1 @ ( throw_list_char @ E_1 ) @ S_1 ) ).
thf(fact_876_redp__redsp_ORedCastNull,axiom,
! [P: list_P1999446415t_char,C: list_char,S_1: produc2090907612on_val] : ( redp @ P @ ( cast_list_char @ C @ ( val_list_char @ null ) ) @ S_1 @ ( val_list_char @ null ) @ S_1 ) ).
thf(fact_877_redp__redsp_ORedCondT,axiom,
! [P: list_P1999446415t_char,E_1_1: exp_list_char,E_2_1: exp_list_char,S_1: produc2090907612on_val] : ( redp @ P @ ( cond_list_char @ ( val_list_char @ ( bool @ $true ) ) @ E_1_1 @ E_2_1 ) @ S_1 @ E_1_1 @ S_1 ) ).
thf(fact_878_redp__redsp_ORedCondF,axiom,
! [P: list_P1999446415t_char,E_1_1: exp_list_char,E_2_1: exp_list_char,S_1: produc2090907612on_val] : ( redp @ P @ ( cond_list_char @ ( val_list_char @ ( bool @ $false ) ) @ E_1_1 @ E_2_1 ) @ S_1 @ E_2_1 @ S_1 ) ).
thf(fact_879_list_Oinject,axiom,
! [A_5: val,List_4: list_val,A_4: val,List_3: list_val] :
( ( ( cons_val @ A_5 @ List_4 )
= ( cons_val @ A_4 @ List_3 ) )
<=> ( ( A_5 = A_4 )
& ( List_4 = List_3 ) ) ) ).
thf(fact_880_list_Oinject,axiom,
! [A_5: ty,List_4: list_ty,A_4: ty,List_3: list_ty] :
( ( ( cons_ty @ A_5 @ List_4 )
= ( cons_ty @ A_4 @ List_3 ) )
<=> ( ( A_5 = A_4 )
& ( List_4 = List_3 ) ) ) ).
thf(fact_881_list_Oinject,axiom,
! [A_5: list_char,List_4: list_list_char,A_4: list_char,List_3: list_list_char] :
( ( ( cons_list_char @ A_5 @ List_4 )
= ( cons_list_char @ A_4 @ List_3 ) )
<=> ( ( A_5 = A_4 )
& ( List_4 = List_3 ) ) ) ).
thf(fact_882_list_Oinject,axiom,
! [A_5: exp_list_char,List_4: list_exp_list_char,A_4: exp_list_char,List_3: list_exp_list_char] :
( ( ( cons_exp_list_char @ A_5 @ List_4 )
= ( cons_exp_list_char @ A_4 @ List_3 ) )
<=> ( ( A_5 = A_4 )
& ( List_4 = List_3 ) ) ) ).
thf(fact_883_not__Cons__self2,axiom,
! [X_8: val,Xs_8: list_val] :
( ( cons_val @ X_8 @ Xs_8 )
!= Xs_8 ) ).
thf(fact_884_not__Cons__self2,axiom,
! [X_8: ty,Xs_8: list_ty] :
( ( cons_ty @ X_8 @ Xs_8 )
!= Xs_8 ) ).
thf(fact_885_not__Cons__self2,axiom,
! [X_8: list_char,Xs_8: list_list_char] :
( ( cons_list_char @ X_8 @ Xs_8 )
!= Xs_8 ) ).
thf(fact_886_not__Cons__self2,axiom,
! [X_8: exp_list_char,Xs_8: list_exp_list_char] :
( ( cons_exp_list_char @ X_8 @ Xs_8 )
!= Xs_8 ) ).
thf(fact_887_not__Cons__self,axiom,
! [Xs_7: list_val,X_7: val] :
( Xs_7
!= ( cons_val @ X_7 @ Xs_7 ) ) ).
thf(fact_888_not__Cons__self,axiom,
! [Xs_7: list_ty,X_7: ty] :
( Xs_7
!= ( cons_ty @ X_7 @ Xs_7 ) ) ).
thf(fact_889_not__Cons__self,axiom,
! [Xs_7: list_list_char,X_7: list_char] :
( Xs_7
!= ( cons_list_char @ X_7 @ Xs_7 ) ) ).
thf(fact_890_not__Cons__self,axiom,
! [Xs_7: list_exp_list_char,X_7: exp_list_char] :
( Xs_7
!= ( cons_exp_list_char @ X_7 @ Xs_7 ) ) ).
thf(fact_891_append__eq__appendI,axiom,
! [Ys_6: list_P2023964830har_ty,Us_1: list_P2023964830har_ty,Xs_6: list_P2023964830har_ty,Xs1: list_P2023964830har_ty,Zs_5: list_P2023964830har_ty] :
( ( ( append590652462har_ty @ Xs_6 @ Xs1 )
= Zs_5 )
=> ( ( Ys_6
= ( append590652462har_ty @ Xs1 @ Us_1 ) )
=> ( ( append590652462har_ty @ Xs_6 @ Ys_6 )
= ( append590652462har_ty @ Zs_5 @ Us_1 ) ) ) ) ).
thf(fact_892_append__eq__appendI,axiom,
! [Ys_6: list_exp_list_char,Us_1: list_exp_list_char,Xs_6: list_exp_list_char,Xs1: list_exp_list_char,Zs_5: list_exp_list_char] :
( ( ( append_exp_list_char @ Xs_6 @ Xs1 )
= Zs_5 )
=> ( ( Ys_6
= ( append_exp_list_char @ Xs1 @ Us_1 ) )
=> ( ( append_exp_list_char @ Xs_6 @ Ys_6 )
= ( append_exp_list_char @ Zs_5 @ Us_1 ) ) ) ) ).
thf(fact_893_append__same__eq,axiom,
! [Ys_5: list_P2023964830har_ty,Xs_5: list_P2023964830har_ty,Zs_4: list_P2023964830har_ty] :
( ( ( append590652462har_ty @ Ys_5 @ Xs_5 )
= ( append590652462har_ty @ Zs_4 @ Xs_5 ) )
<=> ( Ys_5 = Zs_4 ) ) ).
thf(fact_894_append__same__eq,axiom,
! [Ys_5: list_exp_list_char,Xs_5: list_exp_list_char,Zs_4: list_exp_list_char] :
( ( ( append_exp_list_char @ Ys_5 @ Xs_5 )
= ( append_exp_list_char @ Zs_4 @ Xs_5 ) )
<=> ( Ys_5 = Zs_4 ) ) ).
thf(fact_895_same__append__eq,axiom,
! [Xs_4: list_P2023964830har_ty,Ys_4: list_P2023964830har_ty,Zs_3: list_P2023964830har_ty] :
( ( ( append590652462har_ty @ Xs_4 @ Ys_4 )
= ( append590652462har_ty @ Xs_4 @ Zs_3 ) )
<=> ( Ys_4 = Zs_3 ) ) ).
thf(fact_896_same__append__eq,axiom,
! [Xs_4: list_exp_list_char,Ys_4: list_exp_list_char,Zs_3: list_exp_list_char] :
( ( ( append_exp_list_char @ Xs_4 @ Ys_4 )
= ( append_exp_list_char @ Xs_4 @ Zs_3 ) )
<=> ( Ys_4 = Zs_3 ) ) ).
thf(fact_897_append__eq__append__conv2,axiom,
! [Xs_3: list_P2023964830har_ty,Ys_3: list_P2023964830har_ty,Zs_2: list_P2023964830har_ty,Ts_2: list_P2023964830har_ty] :
( ( ( append590652462har_ty @ Xs_3 @ Ys_3 )
= ( append590652462har_ty @ Zs_2 @ Ts_2 ) )
<=> ? [Us: list_P2023964830har_ty] :
( ( ( Xs_3
= ( append590652462har_ty @ Zs_2 @ Us ) )
& ( ( append590652462har_ty @ Us @ Ys_3 )
= Ts_2 ) )
| ( ( ( append590652462har_ty @ Xs_3 @ Us )
= Zs_2 )
& ( Ys_3
= ( append590652462har_ty @ Us @ Ts_2 ) ) ) ) ) ).
thf(fact_898_append__eq__append__conv2,axiom,
! [Xs_3: list_exp_list_char,Ys_3: list_exp_list_char,Zs_2: list_exp_list_char,Ts_2: list_exp_list_char] :
( ( ( append_exp_list_char @ Xs_3 @ Ys_3 )
= ( append_exp_list_char @ Zs_2 @ Ts_2 ) )
<=> ? [Us: list_exp_list_char] :
( ( ( Xs_3
= ( append_exp_list_char @ Zs_2 @ Us ) )
& ( ( append_exp_list_char @ Us @ Ys_3 )
= Ts_2 ) )
| ( ( ( append_exp_list_char @ Xs_3 @ Us )
= Zs_2 )
& ( Ys_3
= ( append_exp_list_char @ Us @ Ts_2 ) ) ) ) ) ).
thf(fact_899_append__assoc,axiom,
! [Xs_2: list_P2023964830har_ty,Ys_2: list_P2023964830har_ty,Zs_1: list_P2023964830har_ty] :
( ( append590652462har_ty @ ( append590652462har_ty @ Xs_2 @ Ys_2 ) @ Zs_1 )
= ( append590652462har_ty @ Xs_2 @ ( append590652462har_ty @ Ys_2 @ Zs_1 ) ) ) ).
thf(fact_900_append__assoc,axiom,
! [Xs_2: list_exp_list_char,Ys_2: list_exp_list_char,Zs_1: list_exp_list_char] :
( ( append_exp_list_char @ ( append_exp_list_char @ Xs_2 @ Ys_2 ) @ Zs_1 )
= ( append_exp_list_char @ Xs_2 @ ( append_exp_list_char @ Ys_2 @ Zs_1 ) ) ) ).
thf(fact_901_red__reds_ORedBlock,axiom,
! [V: list_char,T_3: ty,U: val,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ V @ T_3 @ ( val_list_char @ U ) ) @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ U ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_902_redp__redsp_ORedWhile,axiom,
! [P: list_P1999446415t_char,B: exp_list_char,C_2: exp_list_char,S_1: produc2090907612on_val] : ( redp @ P @ ( while_list_char @ B @ C_2 ) @ S_1 @ ( cond_list_char @ B @ ( seq_list_char @ C_2 @ ( while_list_char @ B @ C_2 ) ) @ ( val_list_char @ unit ) ) @ S_1 ) ).
thf(fact_903_not__finals__ConsI,axiom,
! [Es_5: list_exp_list_char,E_8: exp_list_char] :
( ~ ( final_list_char @ E_8 )
=> ~ ( finals_list_char @ ( cons_exp_list_char @ E_8 @ Es_5 ) ) ) ).
thf(fact_904_Cons__eq__map__conv,axiom,
! [X_6: produc469582463har_ty,Xs_1: list_P2098242612har_ty,F_3: produc245756905har_ty > produc469582463har_ty,Ys_1: list_P2023964830har_ty] :
( ( ( cons_P1020158687har_ty @ X_6 @ Xs_1 )
= ( map_Pr1267419400har_ty @ F_3 @ Ys_1 ) )
<=> ? [Z: produc245756905har_ty,Zs: list_P2023964830har_ty] :
( ( Ys_1
= ( cons_P796333129har_ty @ Z @ Zs ) )
& ( X_6
= ( F_3 @ Z ) )
& ( Xs_1
= ( map_Pr1267419400har_ty @ F_3 @ Zs ) ) ) ) ).
thf(fact_905_Cons__eq__map__conv,axiom,
! [X_6: produc245756905har_ty,Xs_1: list_P2023964830har_ty,F_3: produc917948472har_ty > produc245756905har_ty,Ys_1: list_P1940453997har_ty] :
( ( ( cons_P796333129har_ty @ X_6 @ Xs_1 )
= ( map_Pr1471044963har_ty @ F_3 @ Ys_1 ) )
<=> ? [Z: produc917948472har_ty,Zs: list_P1940453997har_ty] :
( ( Ys_1
= ( cons_P306092184har_ty @ Z @ Zs ) )
& ( X_6
= ( F_3 @ Z ) )
& ( Xs_1
= ( map_Pr1471044963har_ty @ F_3 @ Zs ) ) ) ) ).
thf(fact_906_Cons__eq__map__conv,axiom,
! [X_6: val,Xs_1: list_val,F_3: list_char > val,Ys_1: list_list_char] :
( ( ( cons_val @ X_6 @ Xs_1 )
= ( map_list_char_val @ F_3 @ Ys_1 ) )
<=> ? [Z: list_char,Zs: list_list_char] :
( ( Ys_1
= ( cons_list_char @ Z @ Zs ) )
& ( X_6
= ( F_3 @ Z ) )
& ( Xs_1
= ( map_list_char_val @ F_3 @ Zs ) ) ) ) ).
thf(fact_907_Cons__eq__map__conv,axiom,
! [X_6: option_ty,Xs_1: list_option_ty,F_3: ty > option_ty,Ys_1: list_ty] :
( ( ( cons_option_ty @ X_6 @ Xs_1 )
= ( map_ty_option_ty @ F_3 @ Ys_1 ) )
<=> ? [Z: ty,Zs: list_ty] :
( ( Ys_1
= ( cons_ty @ Z @ Zs ) )
& ( X_6
= ( F_3 @ Z ) )
& ( Xs_1
= ( map_ty_option_ty @ F_3 @ Zs ) ) ) ) ).
thf(fact_908_Cons__eq__map__conv,axiom,
! [X_6: option_ty,Xs_1: list_option_ty,F_3: val > option_ty,Ys_1: list_val] :
( ( ( cons_option_ty @ X_6 @ Xs_1 )
= ( map_val_option_ty @ F_3 @ Ys_1 ) )
<=> ? [Z: val,Zs: list_val] :
( ( Ys_1
= ( cons_val @ Z @ Zs ) )
& ( X_6
= ( F_3 @ Z ) )
& ( Xs_1
= ( map_val_option_ty @ F_3 @ Zs ) ) ) ) ).
thf(fact_909_Cons__eq__map__conv,axiom,
! [X_6: exp_list_char,Xs_1: list_exp_list_char,F_3: val > exp_list_char,Ys_1: list_val] :
( ( ( cons_exp_list_char @ X_6 @ Xs_1 )
= ( map_va1934808527t_char @ F_3 @ Ys_1 ) )
<=> ? [Z: val,Zs: list_val] :
( ( Ys_1
= ( cons_val @ Z @ Zs ) )
& ( X_6
= ( F_3 @ Z ) )
& ( Xs_1
= ( map_va1934808527t_char @ F_3 @ Zs ) ) ) ) ).
thf(fact_910_map__eq__Cons__conv,axiom,
! [F_2: produc245756905har_ty > produc469582463har_ty,Xs: list_P2023964830har_ty,Y_3: produc469582463har_ty,Ys: list_P2098242612har_ty] :
( ( ( map_Pr1267419400har_ty @ F_2 @ Xs )
= ( cons_P1020158687har_ty @ Y_3 @ Ys ) )
<=> ? [Z: produc245756905har_ty,Zs: list_P2023964830har_ty] :
( ( Xs
= ( cons_P796333129har_ty @ Z @ Zs ) )
& ( ( F_2 @ Z )
= Y_3 )
& ( ( map_Pr1267419400har_ty @ F_2 @ Zs )
= Ys ) ) ) ).
thf(fact_911_map__eq__Cons__conv,axiom,
! [F_2: produc917948472har_ty > produc245756905har_ty,Xs: list_P1940453997har_ty,Y_3: produc245756905har_ty,Ys: list_P2023964830har_ty] :
( ( ( map_Pr1471044963har_ty @ F_2 @ Xs )
= ( cons_P796333129har_ty @ Y_3 @ Ys ) )
<=> ? [Z: produc917948472har_ty,Zs: list_P1940453997har_ty] :
( ( Xs
= ( cons_P306092184har_ty @ Z @ Zs ) )
& ( ( F_2 @ Z )
= Y_3 )
& ( ( map_Pr1471044963har_ty @ F_2 @ Zs )
= Ys ) ) ) ).
thf(fact_912_map__eq__Cons__conv,axiom,
! [F_2: list_char > val,Xs: list_list_char,Y_3: val,Ys: list_val] :
( ( ( map_list_char_val @ F_2 @ Xs )
= ( cons_val @ Y_3 @ Ys ) )
<=> ? [Z: list_char,Zs: list_list_char] :
( ( Xs
= ( cons_list_char @ Z @ Zs ) )
& ( ( F_2 @ Z )
= Y_3 )
& ( ( map_list_char_val @ F_2 @ Zs )
= Ys ) ) ) ).
thf(fact_913_map__eq__Cons__conv,axiom,
! [F_2: ty > option_ty,Xs: list_ty,Y_3: option_ty,Ys: list_option_ty] :
( ( ( map_ty_option_ty @ F_2 @ Xs )
= ( cons_option_ty @ Y_3 @ Ys ) )
<=> ? [Z: ty,Zs: list_ty] :
( ( Xs
= ( cons_ty @ Z @ Zs ) )
& ( ( F_2 @ Z )
= Y_3 )
& ( ( map_ty_option_ty @ F_2 @ Zs )
= Ys ) ) ) ).
thf(fact_914_map__eq__Cons__conv,axiom,
! [F_2: val > option_ty,Xs: list_val,Y_3: option_ty,Ys: list_option_ty] :
( ( ( map_val_option_ty @ F_2 @ Xs )
= ( cons_option_ty @ Y_3 @ Ys ) )
<=> ? [Z: val,Zs: list_val] :
( ( Xs
= ( cons_val @ Z @ Zs ) )
& ( ( F_2 @ Z )
= Y_3 )
& ( ( map_val_option_ty @ F_2 @ Zs )
= Ys ) ) ) ).
thf(fact_915_map__eq__Cons__conv,axiom,
! [F_2: val > exp_list_char,Xs: list_val,Y_3: exp_list_char,Ys: list_exp_list_char] :
( ( ( map_va1934808527t_char @ F_2 @ Xs )
= ( cons_exp_list_char @ Y_3 @ Ys ) )
<=> ? [Z: val,Zs: list_val] :
( ( Xs
= ( cons_val @ Z @ Zs ) )
& ( ( F_2 @ Z )
= Y_3 )
& ( ( map_va1934808527t_char @ F_2 @ Zs )
= Ys ) ) ) ).
thf(fact_916_blocks_Osimps_I1_J,axiom,
! [V: list_char,Vs: list_list_char,T_3: ty,Ts: list_ty,V_1: val,Vs_1: list_val,E_1: exp_list_char] :
( ( blocks @ ( produc921874948t_char @ ( cons_list_char @ V @ Vs ) @ ( produc1909267824t_char @ ( cons_ty @ T_3 @ Ts ) @ ( produc1916172923t_char @ ( cons_val @ V_1 @ Vs_1 ) @ E_1 ) ) ) )
= ( block_list_char @ V @ T_3 @ ( seq_list_char @ ( lAss_list_char @ V @ ( val_list_char @ V_1 ) ) @ ( blocks @ ( produc921874948t_char @ Vs @ ( produc1909267824t_char @ Ts @ ( produc1916172923t_char @ Vs_1 @ E_1 ) ) ) ) ) ) ) ).
thf(fact_917_red__reds_OInitBlockThrow,axiom,
! [V: list_char,T_3: ty,V_1: val,A: nat,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ V @ T_3 @ ( seq_list_char @ ( lAss_list_char @ V @ ( val_list_char @ V_1 ) ) @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) ) ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_918_redp__redsp_OCallParams,axiom,
! [V_1: val,M: list_char,P: list_P1999446415t_char,Es_1: list_exp_list_char,S_1: produc2090907612on_val,Es: list_exp_list_char,S: produc2090907612on_val] :
( ( redsp @ P @ Es_1 @ S_1 @ Es @ S )
=> ( redp @ P @ ( call_list_char @ ( val_list_char @ V_1 ) @ M @ Es_1 ) @ S_1 @ ( call_list_char @ ( val_list_char @ V_1 ) @ M @ Es ) @ S ) ) ).
thf(fact_919_val_Osimps_I3_J,axiom,
! [Nat_1: nat,Nat: nat] :
( ( ( addr @ Nat_1 )
= ( addr @ Nat ) )
<=> ( Nat_1 = Nat ) ) ).
thf(fact_920_val_Osimps_I16_J,axiom,
! [Nat: nat] :
( null
!= ( addr @ Nat ) ) ).
thf(fact_921_val_Osimps_I17_J,axiom,
! [Nat: nat] :
( ( addr @ Nat )
!= null ) ).
thf(fact_922_val_Osimps_I21_J,axiom,
! [Nat: nat,Bool: $o] :
( ( addr @ Nat )
!= ( bool @ Bool ) ) ).
thf(fact_923_val_Osimps_I20_J,axiom,
! [Bool: $o,Nat: nat] :
( ( bool @ Bool )
!= ( addr @ Nat ) ) ).
thf(fact_924_val_Osimps_I11_J,axiom,
! [Nat: nat] :
( ( addr @ Nat )
!= unit ) ).
thf(fact_925_val_Osimps_I10_J,axiom,
! [Nat: nat] :
( unit
!= ( addr @ Nat ) ) ).
thf(fact_926_final__def,axiom,
! [E_7: exp_list_char] :
( ( final_list_char @ E_7 )
<=> ( ? [V_3: val] :
( E_7
= ( val_list_char @ V_3 ) )
| ? [A_2: nat] :
( E_7
= ( throw_list_char @ ( val_list_char @ ( addr @ A_2 ) ) ) ) ) ) ).
thf(fact_927_redp__redsp_OBlockThrow,axiom,
! [P: list_P1999446415t_char,V: list_char,T_3: ty,A: nat,S_1: produc2090907612on_val] : ( redp @ P @ ( block_list_char @ V @ T_3 @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) ) @ S_1 @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) @ S_1 ) ).
thf(fact_928_redp__redsp_OListRed2,axiom,
! [V_1: val,P: list_P1999446415t_char,Es_1: list_exp_list_char,S_1: produc2090907612on_val,Es: list_exp_list_char,S: produc2090907612on_val] :
( ( redsp @ P @ Es_1 @ S_1 @ Es @ S )
=> ( redsp @ P @ ( cons_exp_list_char @ ( val_list_char @ V_1 ) @ Es_1 ) @ S_1 @ ( cons_exp_list_char @ ( val_list_char @ V_1 ) @ Es ) @ S ) ) ).
thf(fact_929_redp__redsp_OListRed1,axiom,
! [Es_1: list_exp_list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( redp @ P @ E_1 @ S_1 @ E @ S )
=> ( redsp @ P @ ( cons_exp_list_char @ E_1 @ Es_1 ) @ S_1 @ ( cons_exp_list_char @ E @ Es_1 ) @ S ) ) ).
thf(fact_930_red__reds_OBlockThrow,axiom,
! [V: list_char,T_3: ty,A: nat,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ V @ T_3 @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_931_redp__redsp_OInitBlockThrow,axiom,
! [P: list_P1999446415t_char,V: list_char,T_3: ty,V_1: val,A: nat,S_1: produc2090907612on_val] : ( redp @ P @ ( block_list_char @ V @ T_3 @ ( seq_list_char @ ( lAss_list_char @ V @ ( val_list_char @ V_1 ) ) @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) ) ) @ S_1 @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) @ S_1 ) ).
thf(fact_932_finals__def,axiom,
! [Es_4: list_exp_list_char] :
( ( finals_list_char @ Es_4 )
<=> ( ? [Vs_2: list_val] :
( Es_4
= ( map_va1934808527t_char @ val_list_char @ Vs_2 ) )
| ? [Vs_2: list_val,A_2: nat,Es_3: list_exp_list_char] :
( Es_4
= ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ Vs_2 ) @ ( cons_exp_list_char @ ( throw_list_char @ ( val_list_char @ ( addr @ A_2 ) ) ) @ Es_3 ) ) ) ) ) ).
thf(fact_933_CallRedsNull,axiom,
! [M: list_char,Es_1: list_exp_list_char,Vs_1: list_val,S_2_1: produc2090907612on_val,E_1: exp_list_char,S_0: produc2090907612on_val,S_1_1: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_0 ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ S_1_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ Es_1 @ S_1_1 ) @ ( produc1302104557on_val @ ( map_va1934808527t_char @ val_list_char @ Vs_1 ) @ S_2_1 ) ) @ ( transi808828192on_val @ ( reds @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ E_1 @ M @ Es_1 ) @ S_0 ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ S_2_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ).
thf(fact_934_finalE,axiom,
! [E_6: exp_list_char] :
( ( final_list_char @ E_6 )
=> ( ! [V_3: val] :
( E_6
!= ( val_list_char @ V_3 ) )
=> ~ ! [A_2: nat] :
( E_6
!= ( throw_list_char @ ( val_list_char @ ( addr @ A_2 ) ) ) ) ) ) ).
thf(fact_935_WTrtCons,axiom,
! [Es_1: list_exp_list_char,Ts: list_ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,T_3: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ T_3 )
=> ( ( wTrts @ P @ H_1 @ E_3 @ Es_1 @ Ts )
=> ( wTrts @ P @ H_1 @ E_3 @ ( cons_exp_list_char @ E_1 @ Es_1 ) @ ( cons_ty @ T_3 @ Ts ) ) ) ) ).
thf(fact_936_red__reds_ORedCallNull,axiom,
! [M: list_char,Vs_1: list_val,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ null ) @ M @ ( map_va1934808527t_char @ val_list_char @ Vs_1 ) ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_937_WTrts__hext__mono,axiom,
! [H: nat > option1728594148on_val,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,Es_1: list_exp_list_char,Ts: list_ty] :
( ( wTrts @ P @ H_1 @ E_3 @ Es_1 @ Ts )
=> ( ( hext @ H_1 @ H )
=> ( wTrts @ P @ H @ E_3 @ Es_1 @ Ts ) ) ) ).
thf(fact_938_redp__redsp_ORedThrowNull,axiom,
! [P: list_P1999446415t_char,S_1: produc2090907612on_val] : ( redp @ P @ ( throw_list_char @ ( val_list_char @ null ) ) @ S_1 @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ S_1 ) ).
thf(fact_939_redp__redsp_ORedFAssNull,axiom,
! [P: list_P1999446415t_char,F: list_char,D: list_char,V_1: val,S_1: produc2090907612on_val] : ( redp @ P @ ( fAss_list_char @ ( val_list_char @ null ) @ F @ D @ ( val_list_char @ V_1 ) ) @ S_1 @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ S_1 ) ).
thf(fact_940_redp__redsp_ORedFAccNull,axiom,
! [P: list_P1999446415t_char,F: list_char,D: list_char,S_1: produc2090907612on_val] : ( redp @ P @ ( fAcc_list_char @ ( val_list_char @ null ) @ F @ D ) @ S_1 @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ S_1 ) ).
thf(fact_941_red__reds_ORedThrowNull,axiom,
! [S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ null ) ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_942_redp__redsp_ORedCallNull,axiom,
! [P: list_P1999446415t_char,M: list_char,Vs_1: list_val,S_1: produc2090907612on_val] : ( redp @ P @ ( call_list_char @ ( val_list_char @ null ) @ M @ ( map_va1934808527t_char @ val_list_char @ Vs_1 ) ) @ S_1 @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ S_1 ) ).
thf(fact_943_ThrowRedsNull,axiom,
! [E_1: exp_list_char,S_1: produc2090907612on_val,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( throw_list_char @ E_1 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_944_red__reds_ORedFAssNull,axiom,
! [F: list_char,D: list_char,V_1: val,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ null ) @ F @ D @ ( val_list_char @ V_1 ) ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_945_red__reds_ORedFAccNull,axiom,
! [F: list_char,D: list_char,S_1: produc2090907612on_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ ( val_list_char @ null ) @ F @ D ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ S_1 ) ) @ ( red @ P ) ) ).
thf(fact_946_FAssRedsNull,axiom,
! [F: list_char,D: list_char,E_2_1: exp_list_char,V_1: val,S_2_1: produc2090907612on_val,E_1_1: exp_list_char,S_0: produc2090907612on_val,S_1_1: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1_1 @ S_0 ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ S_1_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_2_1 @ S_1_1 ) @ ( produc235638504on_val @ ( val_list_char @ V_1 ) @ S_2_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ E_1_1 @ F @ D @ E_2_1 ) @ S_0 ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ S_2_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ).
thf(fact_947_FAccRedsNull,axiom,
! [F: list_char,D: list_char,E_1: exp_list_char,S_1: produc2090907612on_val,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ E_1 @ F @ D ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_948_FAccNull,axiom,
! [F: list_char,D: list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( val_list_char @ null ) @ S_1_1 )
=> ( eval @ P @ ( fAcc_list_char @ E_1 @ F @ D ) @ S_0 @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ S_1_1 ) ) ).
thf(fact_949_FAssNull,axiom,
! [F: list_char,D: list_char,E_2_1: exp_list_char,V_1: val,S_2_1: produc2090907612on_val,P: list_P1999446415t_char,E_1_1: exp_list_char,S_0: produc2090907612on_val,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1_1 @ S_0 @ ( val_list_char @ null ) @ S_1_1 )
=> ( ( eval @ P @ E_2_1 @ S_1_1 @ ( val_list_char @ V_1 ) @ S_2_1 )
=> ( eval @ P @ ( fAss_list_char @ E_1_1 @ F @ D @ E_2_1 ) @ S_0 @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ S_2_1 ) ) ) ).
thf(fact_950_ThrowNull,axiom,
! [P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( val_list_char @ null ) @ S_1_1 )
=> ( eval @ P @ ( throw_list_char @ E_1 ) @ S_0 @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ S_1_1 ) ) ).
thf(fact_951_the__Addr_Osimps,axiom,
! [A: nat] :
( ( the_Addr @ ( addr @ A ) )
= A ) ).
thf(fact_952_unfold__while,axiom,
! [P: list_P1999446415t_char,B: exp_list_char,C_2: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( eval @ P @ ( while_list_char @ B @ C_2 ) @ S_1 @ E @ S )
<=> ( eval @ P @ ( cond_list_char @ B @ ( seq_list_char @ C_2 @ ( while_list_char @ B @ C_2 ) ) @ ( val_list_char @ unit ) ) @ S_1 @ E @ S ) ) ).
thf(fact_953_eval__evals_OThrowThrow,axiom,
! [P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,E: exp_list_char,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( throw_list_char @ E ) @ S_1_1 )
=> ( eval @ P @ ( throw_list_char @ E_1 ) @ S_0 @ ( throw_list_char @ E ) @ S_1_1 ) ) ).
thf(fact_954_Val,axiom,
! [P: list_P1999446415t_char,V_1: val,S_1: produc2090907612on_val] : ( eval @ P @ ( val_list_char @ V_1 ) @ S_1 @ ( val_list_char @ V_1 ) @ S_1 ) ).
thf(fact_955_eval__cases_I2_J,axiom,
! [P: list_P1999446415t_char,V_1: val,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( eval @ P @ ( val_list_char @ V_1 ) @ S_1 @ E @ S )
=> ~ ( ( E
= ( val_list_char @ V_1 ) )
=> ( S != S_1 ) ) ) ).
thf(fact_956_eval__finalId,axiom,
! [P: list_P1999446415t_char,S_1: produc2090907612on_val,E_1: exp_list_char] :
( ( final_list_char @ E_1 )
=> ( eval @ P @ E_1 @ S_1 @ E_1 @ S_1 ) ) ).
thf(fact_957_eval__final,axiom,
! [P: list_P1999446415t_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_1 @ E @ S )
=> ( final_list_char @ E ) ) ).
thf(fact_958_Seq,axiom,
! [E_1_1: exp_list_char,E_2_1: exp_list_char,S_2_1: produc2090907612on_val,P: list_P1999446415t_char,E_0: exp_list_char,S_0: produc2090907612on_val,V_1: val,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_0 @ S_0 @ ( val_list_char @ V_1 ) @ S_1_1 )
=> ( ( eval @ P @ E_1_1 @ S_1_1 @ E_2_1 @ S_2_1 )
=> ( eval @ P @ ( seq_list_char @ E_0 @ E_1_1 ) @ S_0 @ E_2_1 @ S_2_1 ) ) ) ).
thf(fact_959_eval__evals_OSeqThrow,axiom,
! [E_1_1: exp_list_char,P: list_P1999446415t_char,E_0: exp_list_char,S_0: produc2090907612on_val,E_1: exp_list_char,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_0 @ S_0 @ ( throw_list_char @ E_1 ) @ S_1_1 )
=> ( eval @ P @ ( seq_list_char @ E_0 @ E_1_1 ) @ S_0 @ ( throw_list_char @ E_1 ) @ S_1_1 ) ) ).
thf(fact_960_eval__evals_OLAssThrow,axiom,
! [V: list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,E: exp_list_char,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( throw_list_char @ E ) @ S_1_1 )
=> ( eval @ P @ ( lAss_list_char @ V @ E_1 ) @ S_0 @ ( throw_list_char @ E ) @ S_1_1 ) ) ).
thf(fact_961_eval__evals_OFAssThrow1,axiom,
! [F: list_char,D: list_char,E_2_1: exp_list_char,P: list_P1999446415t_char,E_1_1: exp_list_char,S_0: produc2090907612on_val,E: exp_list_char,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1_1 @ S_0 @ ( throw_list_char @ E ) @ S_1_1 )
=> ( eval @ P @ ( fAss_list_char @ E_1_1 @ F @ D @ E_2_1 ) @ S_0 @ ( throw_list_char @ E ) @ S_1_1 ) ) ).
thf(fact_962_CallObjThrow,axiom,
! [M: list_char,Ps: list_exp_list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,E: exp_list_char,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( throw_list_char @ E ) @ S_1_1 )
=> ( eval @ P @ ( call_list_char @ E_1 @ M @ Ps ) @ S_0 @ ( throw_list_char @ E ) @ S_1_1 ) ) ).
thf(fact_963_eval__evals_OBinOpThrow1,axiom,
! [Bop: bop,E_2_1: exp_list_char,P: list_P1999446415t_char,E_1_1: exp_list_char,S_0: produc2090907612on_val,E_1: exp_list_char,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1_1 @ S_0 @ ( throw_list_char @ E_1 ) @ S_1_1 )
=> ( eval @ P @ ( binOp_list_char @ E_1_1 @ Bop @ E_2_1 ) @ S_0 @ ( throw_list_char @ E_1 ) @ S_1_1 ) ) ).
thf(fact_964_eval__evals_OCastThrow,axiom,
! [C: list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,E: exp_list_char,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( throw_list_char @ E ) @ S_1_1 )
=> ( eval @ P @ ( cast_list_char @ C @ E_1 ) @ S_0 @ ( throw_list_char @ E ) @ S_1_1 ) ) ).
thf(fact_965_eval__evals_OCondThrow,axiom,
! [E_1_1: exp_list_char,E_2_1: exp_list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,E: exp_list_char,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( throw_list_char @ E ) @ S_1_1 )
=> ( eval @ P @ ( cond_list_char @ E_1 @ E_1_1 @ E_2_1 ) @ S_0 @ ( throw_list_char @ E ) @ S_1_1 ) ) ).
thf(fact_966_Try,axiom,
! [C: list_char,V: list_char,E_2_1: exp_list_char,P: list_P1999446415t_char,E_1_1: exp_list_char,S_0: produc2090907612on_val,V_1_1: val,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1_1 @ S_0 @ ( val_list_char @ V_1_1 ) @ S_1_1 )
=> ( eval @ P @ ( tryCatch_list_char @ E_1_1 @ C @ V @ E_2_1 ) @ S_0 @ ( val_list_char @ V_1_1 ) @ S_1_1 ) ) ).
thf(fact_967_eval__evals_OFAccThrow,axiom,
! [F: list_char,D: list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,E: exp_list_char,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( throw_list_char @ E ) @ S_1_1 )
=> ( eval @ P @ ( fAcc_list_char @ E_1 @ F @ D ) @ S_0 @ ( throw_list_char @ E ) @ S_1_1 ) ) ).
thf(fact_968_WhileCondThrow,axiom,
! [C_2: exp_list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,E: exp_list_char,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( throw_list_char @ E ) @ S_1_1 )
=> ( eval @ P @ ( while_list_char @ E_1 @ C_2 ) @ S_0 @ ( throw_list_char @ E ) @ S_1_1 ) ) ).
thf(fact_969_eval__hext,axiom,
! [P: list_P1999446415t_char,E_1: exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,E: exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val] :
( ( eval @ P @ E_1 @ ( produc755559506on_val @ H_1 @ L_1 ) @ E @ ( produc755559506on_val @ H @ L ) )
=> ( hext @ H_1 @ H ) ) ).
thf(fact_970_Throw,axiom,
! [P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,A: nat,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( val_list_char @ ( addr @ A ) ) @ S_1_1 )
=> ( eval @ P @ ( throw_list_char @ E_1 ) @ S_0 @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) @ S_1_1 ) ) ).
thf(fact_971_eval__evals_OFAssThrow2,axiom,
! [F: list_char,D: list_char,E_2_1: exp_list_char,E: exp_list_char,S_2_1: produc2090907612on_val,P: list_P1999446415t_char,E_1_1: exp_list_char,S_0: produc2090907612on_val,V_1: val,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1_1 @ S_0 @ ( val_list_char @ V_1 ) @ S_1_1 )
=> ( ( eval @ P @ E_2_1 @ S_1_1 @ ( throw_list_char @ E ) @ S_2_1 )
=> ( eval @ P @ ( fAss_list_char @ E_1_1 @ F @ D @ E_2_1 ) @ S_0 @ ( throw_list_char @ E ) @ S_2_1 ) ) ) ).
thf(fact_972_eval__evals_OBinOpThrow2,axiom,
! [Bop: bop,E_2_1: exp_list_char,E_1: exp_list_char,S_2_1: produc2090907612on_val,P: list_P1999446415t_char,E_1_1: exp_list_char,S_0: produc2090907612on_val,V_1_1: val,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1_1 @ S_0 @ ( val_list_char @ V_1_1 ) @ S_1_1 )
=> ( ( eval @ P @ E_2_1 @ S_1_1 @ ( throw_list_char @ E_1 ) @ S_2_1 )
=> ( eval @ P @ ( binOp_list_char @ E_1_1 @ Bop @ E_2_1 ) @ S_0 @ ( throw_list_char @ E_1 ) @ S_2_1 ) ) ) ).
thf(fact_973_CastNull,axiom,
! [C: list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( val_list_char @ null ) @ S_1_1 )
=> ( eval @ P @ ( cast_list_char @ C @ E_1 ) @ S_0 @ ( val_list_char @ null ) @ S_1_1 ) ) ).
thf(fact_974_CondT,axiom,
! [E_2_1: exp_list_char,E_1_1: exp_list_char,E: exp_list_char,S_2_1: produc2090907612on_val,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( val_list_char @ ( bool @ $true ) ) @ S_1_1 )
=> ( ( eval @ P @ E_1_1 @ S_1_1 @ E @ S_2_1 )
=> ( eval @ P @ ( cond_list_char @ E_1 @ E_1_1 @ E_2_1 ) @ S_0 @ E @ S_2_1 ) ) ) ).
thf(fact_975_CondF,axiom,
! [E_1_1: exp_list_char,E_2_1: exp_list_char,E: exp_list_char,S_2_1: produc2090907612on_val,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( val_list_char @ ( bool @ $false ) ) @ S_1_1 )
=> ( ( eval @ P @ E_2_1 @ S_1_1 @ E @ S_2_1 )
=> ( eval @ P @ ( cond_list_char @ E_1 @ E_1_1 @ E_2_1 ) @ S_0 @ E @ S_2_1 ) ) ) ).
thf(fact_976_WhileT,axiom,
! [E_3_1: exp_list_char,S_3: produc2090907612on_val,C_2: exp_list_char,V_1_1: val,S_2_1: produc2090907612on_val,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( val_list_char @ ( bool @ $true ) ) @ S_1_1 )
=> ( ( eval @ P @ C_2 @ S_1_1 @ ( val_list_char @ V_1_1 ) @ S_2_1 )
=> ( ( eval @ P @ ( while_list_char @ E_1 @ C_2 ) @ S_2_1 @ E_3_1 @ S_3 )
=> ( eval @ P @ ( while_list_char @ E_1 @ C_2 ) @ S_0 @ E_3_1 @ S_3 ) ) ) ) ).
thf(fact_977_WhileBodyThrow,axiom,
! [C_2: exp_list_char,E: exp_list_char,S_2_1: produc2090907612on_val,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( val_list_char @ ( bool @ $true ) ) @ S_1_1 )
=> ( ( eval @ P @ C_2 @ S_1_1 @ ( throw_list_char @ E ) @ S_2_1 )
=> ( eval @ P @ ( while_list_char @ E_1 @ C_2 ) @ S_0 @ ( throw_list_char @ E ) @ S_2_1 ) ) ) ).
thf(fact_978_WhileF,axiom,
! [C_2: exp_list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( val_list_char @ ( bool @ $false ) ) @ S_1_1 )
=> ( eval @ P @ ( while_list_char @ E_1 @ C_2 ) @ S_0 @ ( val_list_char @ unit ) @ S_1_1 ) ) ).
thf(fact_979_eval__cases_I12_J,axiom,
! [P: list_P1999446415t_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( eval @ P @ ( throw_list_char @ E_1 ) @ S_1 @ E @ S )
=> ( ! [A_2: nat] :
( ( E
= ( throw_list_char @ ( val_list_char @ ( addr @ A_2 ) ) ) )
=> ~ ( eval @ P @ E_1 @ S_1 @ ( val_list_char @ ( addr @ A_2 ) ) @ S ) )
=> ( ( ( E
= ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) )
=> ~ ( eval @ P @ E_1 @ S_1 @ ( val_list_char @ null ) @ S ) )
=> ~ ! [E_4: exp_list_char] :
( ( E
= ( throw_list_char @ E_4 ) )
=> ~ ( eval @ P @ E_1 @ S_1 @ ( throw_list_char @ E_4 ) @ S ) ) ) ) ) ).
thf(fact_980_CallNull,axiom,
! [M: list_char,Ps: list_exp_list_char,Vs_1: list_val,S_2_1: produc2090907612on_val,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( val_list_char @ null ) @ S_1_1 )
=> ( ( evals @ P @ Ps @ S_1_1 @ ( map_va1934808527t_char @ val_list_char @ Vs_1 ) @ S_2_1 )
=> ( eval @ P @ ( call_list_char @ E_1 @ M @ Ps ) @ S_0 @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ S_2_1 ) ) ) ).
thf(fact_981_CallParamsThrow,axiom,
! [M: list_char,Es_1: list_exp_list_char,Vs_1: list_val,Ex: exp_list_char,Es: list_exp_list_char,S_2_1: produc2090907612on_val,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,V_1: val,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( val_list_char @ V_1 ) @ S_1_1 )
=> ( ( evals @ P @ Es_1 @ S_1_1 @ ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ Vs_1 ) @ ( cons_exp_list_char @ ( throw_list_char @ Ex ) @ Es ) ) @ S_2_1 )
=> ( eval @ P @ ( call_list_char @ E_1 @ M @ Es_1 ) @ S_0 @ ( throw_list_char @ Ex ) @ S_2_1 ) ) ) ).
thf(fact_982_list__eval__Throw,axiom,
! [Vs_1: list_val,Es: list_exp_list_char,P: list_P1999446415t_char,X_2: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( eval @ P @ ( throw_list_char @ X_2 ) @ S_1 @ E @ S )
=> ( evals @ P @ ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ Vs_1 ) @ ( cons_exp_list_char @ ( throw_list_char @ X_2 ) @ Es ) ) @ S_1 @ ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ Vs_1 ) @ ( cons_exp_list_char @ E @ Es ) ) @ S ) ) ).
thf(fact_983_eval__cases_I11_J,axiom,
! [P: list_P1999446415t_char,B: exp_list_char,C_2: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( eval @ P @ ( while_list_char @ B @ C_2 ) @ S_1 @ E @ S )
=> ( ( ( E
= ( val_list_char @ unit ) )
=> ~ ( eval @ P @ B @ S_1 @ ( val_list_char @ ( bool @ $false ) ) @ S ) )
=> ( ! [S_1_2: produc2090907612on_val] :
( ( eval @ P @ B @ S_1 @ ( val_list_char @ ( bool @ $true ) ) @ S_1_2 )
=> ! [V_1_2: val,S_2_2: produc2090907612on_val] :
( ( eval @ P @ C_2 @ S_1_2 @ ( val_list_char @ V_1_2 ) @ S_2_2 )
=> ~ ( eval @ P @ ( while_list_char @ B @ C_2 ) @ S_2_2 @ E @ S ) ) )
=> ( ! [E_4: exp_list_char] :
( ( E
= ( throw_list_char @ E_4 ) )
=> ~ ( eval @ P @ B @ S_1 @ ( throw_list_char @ E_4 ) @ S ) )
=> ~ ! [S_1_2: produc2090907612on_val,E_4: exp_list_char] :
( ( E
= ( throw_list_char @ E_4 ) )
=> ( ( eval @ P @ B @ S_1 @ ( val_list_char @ ( bool @ $true ) ) @ S_1_2 )
=> ~ ( eval @ P @ C_2 @ S_1_2 @ ( throw_list_char @ E_4 ) @ S ) ) ) ) ) ) ) ).
thf(fact_984_eval__finalsId,axiom,
! [P: list_P1999446415t_char,S_1: produc2090907612on_val,Es_1: list_exp_list_char] :
( ( finals_list_char @ Es_1 )
=> ( evals @ P @ Es_1 @ S_1 @ Es_1 @ S_1 ) ) ).
thf(fact_985_evals__final,axiom,
! [P: list_P1999446415t_char,Es_1: list_exp_list_char,S_1: produc2090907612on_val,Es: list_exp_list_char,S: produc2090907612on_val] :
( ( evals @ P @ Es_1 @ S_1 @ Es @ S )
=> ( finals_list_char @ Es ) ) ).
thf(fact_986_evals__hext,axiom,
! [P: list_P1999446415t_char,Es_1: list_exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,Es: list_exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val] :
( ( evals @ P @ Es_1 @ ( produc755559506on_val @ H_1 @ L_1 ) @ Es @ ( produc755559506on_val @ H @ L ) )
=> ( hext @ H_1 @ H ) ) ).
thf(fact_987_eval__evals_OCons,axiom,
! [Es_1: list_exp_list_char,Es: list_exp_list_char,S_2_1: produc2090907612on_val,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,V_1: val,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( val_list_char @ V_1 ) @ S_1_1 )
=> ( ( evals @ P @ Es_1 @ S_1_1 @ Es @ S_2_1 )
=> ( evals @ P @ ( cons_exp_list_char @ E_1 @ Es_1 ) @ S_0 @ ( cons_exp_list_char @ ( val_list_char @ V_1 ) @ Es ) @ S_2_1 ) ) ) ).
thf(fact_988_ConsThrow,axiom,
! [Es_1: list_exp_list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,E: exp_list_char,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( throw_list_char @ E ) @ S_1_1 )
=> ( evals @ P @ ( cons_exp_list_char @ E_1 @ Es_1 ) @ S_0 @ ( cons_exp_list_char @ ( throw_list_char @ E ) @ Es_1 ) @ S_1_1 ) ) ).
thf(fact_989_evals__cases_I2_J,axiom,
! [P: list_P1999446415t_char,E_1: exp_list_char,Es_1: list_exp_list_char,S_1: produc2090907612on_val,E: list_exp_list_char,S: produc2090907612on_val] :
( ( evals @ P @ ( cons_exp_list_char @ E_1 @ Es_1 ) @ S_1 @ E @ S )
=> ( ! [V_3: val,S_1_2: produc2090907612on_val,Es_3: list_exp_list_char] :
( ( E
= ( cons_exp_list_char @ ( val_list_char @ V_3 ) @ Es_3 ) )
=> ( ( eval @ P @ E_1 @ S_1 @ ( val_list_char @ V_3 ) @ S_1_2 )
=> ~ ( evals @ P @ Es_1 @ S_1_2 @ Es_3 @ S ) ) )
=> ~ ! [E_4: exp_list_char] :
( ( E
= ( cons_exp_list_char @ ( throw_list_char @ E_4 ) @ Es_1 ) )
=> ~ ( eval @ P @ E_1 @ S_1 @ ( throw_list_char @ E_4 ) @ S ) ) ) ) ).
thf(fact_990_eval__cases_I9_J,axiom,
! [P: list_P1999446415t_char,E_1_1: exp_list_char,E_2_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( eval @ P @ ( seq_list_char @ E_1_1 @ E_2_1 ) @ S_1 @ E @ S )
=> ( ! [V_3: val,S_1_2: produc2090907612on_val] :
( ( eval @ P @ E_1_1 @ S_1 @ ( val_list_char @ V_3 ) @ S_1_2 )
=> ~ ( eval @ P @ E_2_1 @ S_1_2 @ E @ S ) )
=> ~ ! [E_5: exp_list_char] :
( ( E
= ( throw_list_char @ E_5 ) )
=> ~ ( eval @ P @ E_1_1 @ S_1 @ ( throw_list_char @ E_5 ) @ S ) ) ) ) ).
thf(fact_991_eval__cases_I10_J,axiom,
! [P: list_P1999446415t_char,E_1: exp_list_char,E_1_1: exp_list_char,E_2_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( eval @ P @ ( cond_list_char @ E_1 @ E_1_1 @ E_2_1 ) @ S_1 @ E @ S )
=> ( ! [S_1_2: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_1 @ ( val_list_char @ ( bool @ $true ) ) @ S_1_2 )
=> ~ ( eval @ P @ E_1_1 @ S_1_2 @ E @ S ) )
=> ( ! [S_1_2: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_1 @ ( val_list_char @ ( bool @ $false ) ) @ S_1_2 )
=> ~ ( eval @ P @ E_2_1 @ S_1_2 @ E @ S ) )
=> ~ ! [E_4: exp_list_char] :
( ( E
= ( throw_list_char @ E_4 ) )
=> ~ ( eval @ P @ E_1 @ S_1 @ ( throw_list_char @ E_4 ) @ S ) ) ) ) ) ).
thf(fact_992_InitBlockRedsFinal,axiom,
! [T_3: ty,E_1: exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,V: list_char,V_1: val,E: exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ ( produc755559506on_val @ H_1 @ ( fun_up1149430426on_val @ L_1 @ V @ ( some_val @ V_1 ) ) ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ H @ L ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( final_list_char @ E )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ V @ T_3 @ ( seq_list_char @ ( lAss_list_char @ V @ ( val_list_char @ V_1 ) ) @ E_1 ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ L @ V @ ( L_1 @ V ) ) ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ).
thf(fact_993_map__add__find__right,axiom,
! [M_2: list_char > option_val,N_1: list_char > option_val,K_1: list_char,Xx: val] :
( ( ( N_1 @ K_1 )
= ( some_val @ Xx ) )
=> ( ( map_ad325961431ar_val @ M_2 @ N_1 @ K_1 )
= ( some_val @ Xx ) ) ) ).
thf(fact_994_map__add__upd,axiom,
! [F_1: produc1278157519t_char > option_val,G: produc1278157519t_char > option_val,X_5: produc1278157519t_char,Y_2: val] :
( ( map_ad1185064968ar_val @ F_1 @ ( fun_up204312361on_val @ G @ X_5 @ ( some_val @ Y_2 ) ) )
= ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ F_1 @ G ) @ X_5 @ ( some_val @ Y_2 ) ) ) ).
thf(fact_995_map__add__upd,axiom,
! [F_1: nat > option1728594148on_val,G: nat > option1728594148on_val,X_5: nat,Y_2: produc2088785539on_val] :
( ( map_ad1851375512on_val @ F_1 @ ( fun_up1472480727on_val @ G @ X_5 @ ( some_P451527732on_val @ Y_2 ) ) )
= ( fun_up1472480727on_val @ ( map_ad1851375512on_val @ F_1 @ G ) @ X_5 @ ( some_P451527732on_val @ Y_2 ) ) ) ).
thf(fact_996_map__add__upd,axiom,
! [F_1: list_char > option_ty,G: list_char > option_ty,X_5: list_char,Y_2: ty] :
( ( map_add_list_char_ty @ F_1 @ ( fun_up424764369ion_ty @ G @ X_5 @ ( some_ty @ Y_2 ) ) )
= ( fun_up424764369ion_ty @ ( map_add_list_char_ty @ F_1 @ G ) @ X_5 @ ( some_ty @ Y_2 ) ) ) ).
thf(fact_997_map__add__upd,axiom,
! [F_1: list_char > option_val,G: list_char > option_val,X_5: list_char,Y_2: val] :
( ( map_ad325961431ar_val @ F_1 @ ( fun_up1149430426on_val @ G @ X_5 @ ( some_val @ Y_2 ) ) )
= ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ F_1 @ G ) @ X_5 @ ( some_val @ Y_2 ) ) ) ).
thf(fact_998_map__upd__eqD1,axiom,
! [M_1: produc1278157519t_char > option_val,A_3: produc1278157519t_char,X_4: val,N: produc1278157519t_char > option_val,Y_1: val] :
( ( ( fun_up204312361on_val @ M_1 @ A_3 @ ( some_val @ X_4 ) )
= ( fun_up204312361on_val @ N @ A_3 @ ( some_val @ Y_1 ) ) )
=> ( X_4 = Y_1 ) ) ).
thf(fact_999_map__upd__eqD1,axiom,
! [M_1: nat > option1728594148on_val,A_3: nat,X_4: produc2088785539on_val,N: nat > option1728594148on_val,Y_1: produc2088785539on_val] :
( ( ( fun_up1472480727on_val @ M_1 @ A_3 @ ( some_P451527732on_val @ X_4 ) )
= ( fun_up1472480727on_val @ N @ A_3 @ ( some_P451527732on_val @ Y_1 ) ) )
=> ( X_4 = Y_1 ) ) ).
thf(fact_1000_map__upd__eqD1,axiom,
! [M_1: list_char > option_ty,A_3: list_char,X_4: ty,N: list_char > option_ty,Y_1: ty] :
( ( ( fun_up424764369ion_ty @ M_1 @ A_3 @ ( some_ty @ X_4 ) )
= ( fun_up424764369ion_ty @ N @ A_3 @ ( some_ty @ Y_1 ) ) )
=> ( X_4 = Y_1 ) ) ).
thf(fact_1001_map__upd__eqD1,axiom,
! [M_1: list_char > option_val,A_3: list_char,X_4: val,N: list_char > option_val,Y_1: val] :
( ( ( fun_up1149430426on_val @ M_1 @ A_3 @ ( some_val @ X_4 ) )
= ( fun_up1149430426on_val @ N @ A_3 @ ( some_val @ Y_1 ) ) )
=> ( X_4 = Y_1 ) ) ).
thf(fact_1002_map__upd__triv,axiom,
! [T_7: list_char > option_ty,K: list_char,X_3: ty] :
( ( ( T_7 @ K )
= ( some_ty @ X_3 ) )
=> ( ( fun_up424764369ion_ty @ T_7 @ K @ ( some_ty @ X_3 ) )
= T_7 ) ) ).
thf(fact_1003_map__upd__triv,axiom,
! [T_7: list_char > option_val,K: list_char,X_3: val] :
( ( ( T_7 @ K )
= ( some_val @ X_3 ) )
=> ( ( fun_up1149430426on_val @ T_7 @ K @ ( some_val @ X_3 ) )
= T_7 ) ) ).
thf(fact_1004_LAss,axiom,
! [L: list_char > option_val,V: list_char,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,V_1: val,H_1: nat > option1728594148on_val,L_1: list_char > option_val] :
( ( eval @ P @ E_1 @ S_0 @ ( val_list_char @ V_1 ) @ ( produc755559506on_val @ H_1 @ L_1 ) )
=> ( ( L
= ( fun_up1149430426on_val @ L_1 @ V @ ( some_val @ V_1 ) ) )
=> ( eval @ P @ ( lAss_list_char @ V @ E_1 ) @ S_0 @ ( val_list_char @ unit ) @ ( produc755559506on_val @ H_1 @ L ) ) ) ) ).
thf(fact_1005_redp__redsp_ORedLAss,axiom,
! [P: list_P1999446415t_char,V: list_char,V_1: val,H_1: nat > option1728594148on_val,L_1: list_char > option_val] : ( redp @ P @ ( lAss_list_char @ V @ ( val_list_char @ V_1 ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) @ ( val_list_char @ unit ) @ ( produc755559506on_val @ H_1 @ ( fun_up1149430426on_val @ L_1 @ V @ ( some_val @ V_1 ) ) ) ) ).
thf(fact_1006_redp__redsp_OInitBlockRed,axiom,
! [T_3: ty,V_4: val,P: list_P1999446415t_char,E_1: exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,V: list_char,V_1: val,E: exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val] :
( ( redp @ P @ E_1 @ ( produc755559506on_val @ H_1 @ ( fun_up1149430426on_val @ L_1 @ V @ ( some_val @ V_1 ) ) ) @ E @ ( produc755559506on_val @ H @ L ) )
=> ( ( ( L @ V )
= ( some_val @ V_4 ) )
=> ( redp @ P @ ( block_list_char @ V @ T_3 @ ( seq_list_char @ ( lAss_list_char @ V @ ( val_list_char @ V_1 ) ) @ E_1 ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) @ ( block_list_char @ V @ T_3 @ ( seq_list_char @ ( lAss_list_char @ V @ ( val_list_char @ V_4 ) ) @ E ) ) @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ L @ V @ ( L_1 @ V ) ) ) ) ) ) ).
thf(fact_1007_red__reds_ORedLAss,axiom,
! [V: list_char,V_1: val,H_1: nat > option1728594148on_val,L_1: list_char > option_val,P: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( lAss_list_char @ V @ ( val_list_char @ V_1 ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) @ ( produc235638504on_val @ ( val_list_char @ unit ) @ ( produc755559506on_val @ H_1 @ ( fun_up1149430426on_val @ L_1 @ V @ ( some_val @ V_1 ) ) ) ) ) @ ( red @ P ) ) ).
thf(fact_1008_LAssRedsVal,axiom,
! [V: list_char,E_1: exp_list_char,S_1: produc2090907612on_val,V_1: val,H: nat > option1728594148on_val,L: list_char > option_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ V_1 ) @ ( produc755559506on_val @ H @ L ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( lAss_list_char @ V @ E_1 ) @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ unit ) @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ L @ V @ ( some_val @ V_1 ) ) ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_1009_red__reds_OInitBlockRed,axiom,
! [T_3: ty,V_4: val,E_1: exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,V: list_char,V_1: val,E: exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ ( produc755559506on_val @ H_1 @ ( fun_up1149430426on_val @ L_1 @ V @ ( some_val @ V_1 ) ) ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ H @ L ) ) ) @ ( red @ P ) )
=> ( ( ( L @ V )
= ( some_val @ V_4 ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ V @ T_3 @ ( seq_list_char @ ( lAss_list_char @ V @ ( val_list_char @ V_1 ) ) @ E_1 ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) @ ( produc235638504on_val @ ( block_list_char @ V @ T_3 @ ( seq_list_char @ ( lAss_list_char @ V @ ( val_list_char @ V_4 ) ) @ E ) ) @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ L @ V @ ( L_1 @ V ) ) ) ) ) @ ( red @ P ) ) ) ) ).
thf(fact_1010_InitBlockReds,axiom,
! [T_3: ty,E_1: exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,V: list_char,V_1: val,E: exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ ( produc755559506on_val @ H_1 @ ( fun_up1149430426on_val @ L_1 @ V @ ( some_val @ V_1 ) ) ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ H @ L ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ V @ T_3 @ ( seq_list_char @ ( lAss_list_char @ V @ ( val_list_char @ V_1 ) ) @ E_1 ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) @ ( produc235638504on_val @ ( block_list_char @ V @ T_3 @ ( seq_list_char @ ( lAss_list_char @ V @ ( val_list_char @ ( the_val @ ( L @ V ) ) ) ) @ E ) ) @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ L @ V @ ( L_1 @ V ) ) ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ).
thf(fact_1011_eval__cases_I4_J,axiom,
! [P: list_P1999446415t_char,V: list_char,E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( eval @ P @ ( lAss_list_char @ V @ E_1 ) @ S_1 @ E @ S )
=> ( ( ( E
= ( val_list_char @ unit ) )
=> ! [V_3: val,H_4: nat > option1728594148on_val,L_5: list_char > option_val] :
( ( S
= ( produc755559506on_val @ H_4 @ ( fun_up1149430426on_val @ L_5 @ V @ ( some_val @ V_3 ) ) ) )
=> ~ ( eval @ P @ E_1 @ S_1 @ ( val_list_char @ V_3 ) @ ( produc755559506on_val @ H_4 @ L_5 ) ) ) )
=> ~ ! [E_4: exp_list_char] :
( ( E
= ( throw_list_char @ E_4 ) )
=> ~ ( eval @ P @ E_1 @ S_1 @ ( throw_list_char @ E_4 ) @ S ) ) ) ) ).
thf(fact_1012_BinOpRedsVal,axiom,
! [Bop: bop,V_1: val,E_2_1: exp_list_char,V_2: val,S_2_1: produc2090907612on_val,E_1_1: exp_list_char,S_0: produc2090907612on_val,V_1_1: val,S_1_1: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1_1 @ S_0 ) @ ( produc235638504on_val @ ( val_list_char @ V_1_1 ) @ S_1_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_2_1 @ S_1_1 ) @ ( produc235638504on_val @ ( val_list_char @ V_2 ) @ S_2_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( ( binop @ ( produc621191550al_val @ Bop @ ( product_Pair_val_val @ V_1_1 @ V_2 ) ) )
= ( some_val @ V_1 ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ E_1_1 @ Bop @ E_2_1 ) @ S_0 ) @ ( produc235638504on_val @ ( val_list_char @ V_1 ) @ S_2_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ) ).
thf(fact_1013_red__reds_ORedBinOp,axiom,
! [S_1: produc2090907612on_val,P: list_P1999446415t_char,Bop: bop,V_1_1: val,V_2: val,V_1: val] :
( ( ( binop @ ( produc621191550al_val @ Bop @ ( product_Pair_val_val @ V_1_1 @ V_2 ) ) )
= ( some_val @ V_1 ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ ( val_list_char @ V_1_1 ) @ Bop @ ( val_list_char @ V_2 ) ) @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ V_1 ) @ S_1 ) ) @ ( red @ P ) ) ) ).
thf(fact_1014_WTrtBlock,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,V: list_char,T_3: ty,E_1: exp_list_char,T_6: ty] :
( ( wTrt @ P @ H_1 @ ( fun_up424764369ion_ty @ E_3 @ V @ ( some_ty @ T_3 ) ) @ E_1 @ T_6 )
=> ( wTrt @ P @ H_1 @ E_3 @ ( block_list_char @ V @ T_3 @ E_1 ) @ T_6 ) ) ).
thf(fact_1015_hext__upd__obj,axiom,
! [Fs_5: produc1278157519t_char > option_val,H_1: nat > option1728594148on_val,A: nat,C: list_char,Fs_1: produc1278157519t_char > option_val] :
( ( ( H_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ Fs_1 ) ) )
=> ( hext @ H_1 @ ( fun_up1472480727on_val @ H_1 @ A @ ( some_P451527732on_val @ ( produc926070009on_val @ C @ Fs_5 ) ) ) ) ) ).
thf(fact_1016_FAss,axiom,
! [H_2_1: nat > option1728594148on_val,Fs_5: produc1278157519t_char > option_val,F: list_char,D: list_char,C: list_char,Fs_1: produc1278157519t_char > option_val,E_2_1: exp_list_char,V_1: val,H_2: nat > option1728594148on_val,L_2_1: list_char > option_val,P: list_P1999446415t_char,E_1_1: exp_list_char,S_0: produc2090907612on_val,A: nat,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1_1 @ S_0 @ ( val_list_char @ ( addr @ A ) ) @ S_1_1 )
=> ( ( eval @ P @ E_2_1 @ S_1_1 @ ( val_list_char @ V_1 ) @ ( produc755559506on_val @ H_2 @ L_2_1 ) )
=> ( ( ( H_2 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ Fs_1 ) ) )
=> ( ( Fs_5
= ( fun_up204312361on_val @ Fs_1 @ ( produc5062597t_char @ F @ D ) @ ( some_val @ V_1 ) ) )
=> ( ( H_2_1
= ( fun_up1472480727on_val @ H_2 @ A @ ( some_P451527732on_val @ ( produc926070009on_val @ C @ Fs_5 ) ) ) )
=> ( eval @ P @ ( fAss_list_char @ E_1_1 @ F @ D @ E_2_1 ) @ S_0 @ ( val_list_char @ unit ) @ ( produc755559506on_val @ H_2_1 @ L_2_1 ) ) ) ) ) ) ) ).
thf(fact_1017_redp__redsp_ORedFAss,axiom,
! [P: list_P1999446415t_char,F: list_char,D: list_char,V_1: val,L_1: list_char > option_val,H_1: nat > option1728594148on_val,A: nat,C: list_char,Fs_1: produc1278157519t_char > option_val] :
( ( ( H_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ Fs_1 ) ) )
=> ( redp @ P @ ( fAss_list_char @ ( val_list_char @ ( addr @ A ) ) @ F @ D @ ( val_list_char @ V_1 ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) @ ( val_list_char @ unit ) @ ( produc755559506on_val @ ( fun_up1472480727on_val @ H_1 @ A @ ( some_P451527732on_val @ ( produc926070009on_val @ C @ ( fun_up204312361on_val @ Fs_1 @ ( produc5062597t_char @ F @ D ) @ ( some_val @ V_1 ) ) ) ) ) @ L_1 ) ) ) ).
thf(fact_1018_red__reds_ORedFAss,axiom,
! [F: list_char,D: list_char,V_1: val,L_1: list_char > option_val,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,A: nat,C: list_char,Fs_1: produc1278157519t_char > option_val] :
( ( ( H_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ Fs_1 ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ ( addr @ A ) ) @ F @ D @ ( val_list_char @ V_1 ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) @ ( produc235638504on_val @ ( val_list_char @ unit ) @ ( produc755559506on_val @ ( fun_up1472480727on_val @ H_1 @ A @ ( some_P451527732on_val @ ( produc926070009on_val @ C @ ( fun_up204312361on_val @ Fs_1 @ ( produc5062597t_char @ F @ D ) @ ( some_val @ V_1 ) ) ) ) ) @ L_1 ) ) ) @ ( red @ P ) ) ) ).
thf(fact_1019_FAssRedsVal,axiom,
! [F: list_char,D: list_char,C: list_char,Fs_1: produc1278157519t_char > option_val,E_2_1: exp_list_char,V_1: val,H_2: nat > option1728594148on_val,L_2_1: list_char > option_val,E_1_1: exp_list_char,S_0: produc2090907612on_val,A: nat,S_1_1: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1_1 @ S_0 ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ A ) ) @ S_1_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_2_1 @ S_1_1 ) @ ( produc235638504on_val @ ( val_list_char @ V_1 ) @ ( produc755559506on_val @ H_2 @ L_2_1 ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( ( some_P451527732on_val @ ( produc926070009on_val @ C @ Fs_1 ) )
= ( H_2 @ A ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ E_1_1 @ F @ D @ E_2_1 ) @ S_0 ) @ ( produc235638504on_val @ ( val_list_char @ unit ) @ ( produc755559506on_val @ ( fun_up1472480727on_val @ H_2 @ A @ ( some_P451527732on_val @ ( produc926070009on_val @ C @ ( fun_up204312361on_val @ Fs_1 @ ( produc5062597t_char @ F @ D ) @ ( some_val @ V_1 ) ) ) ) ) @ L_2_1 ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ) ).
thf(fact_1020_FAcc,axiom,
! [F: list_char,D: list_char,V_1: val,C: list_char,Fs_1: produc1278157519t_char > option_val,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,A: nat,H_1: nat > option1728594148on_val,L_1: list_char > option_val] :
( ( eval @ P @ E_1 @ S_0 @ ( val_list_char @ ( addr @ A ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) )
=> ( ( ( H_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ Fs_1 ) ) )
=> ( ( ( Fs_1 @ ( produc5062597t_char @ F @ D ) )
= ( some_val @ V_1 ) )
=> ( eval @ P @ ( fAcc_list_char @ E_1 @ F @ D ) @ S_0 @ ( val_list_char @ V_1 ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) ) ) ) ).
thf(fact_1021_BinOp,axiom,
! [Bop: bop,V_1: val,E_2_1: exp_list_char,V_2: val,S_2_1: produc2090907612on_val,P: list_P1999446415t_char,E_1_1: exp_list_char,S_0: produc2090907612on_val,V_1_1: val,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1_1 @ S_0 @ ( val_list_char @ V_1_1 ) @ S_1_1 )
=> ( ( eval @ P @ E_2_1 @ S_1_1 @ ( val_list_char @ V_2 ) @ S_2_1 )
=> ( ( ( binop @ ( produc621191550al_val @ Bop @ ( product_Pair_val_val @ V_1_1 @ V_2 ) ) )
= ( some_val @ V_1 ) )
=> ( eval @ P @ ( binOp_list_char @ E_1_1 @ Bop @ E_2_1 ) @ S_0 @ ( val_list_char @ V_1 ) @ S_2_1 ) ) ) ) ).
thf(fact_1022_redp__redsp_ORedBinOp,axiom,
! [P: list_P1999446415t_char,S_1: produc2090907612on_val,Bop: bop,V_1_1: val,V_2: val,V_1: val] :
( ( ( binop @ ( produc621191550al_val @ Bop @ ( product_Pair_val_val @ V_1_1 @ V_2 ) ) )
= ( some_val @ V_1 ) )
=> ( redp @ P @ ( binOp_list_char @ ( val_list_char @ V_1_1 ) @ Bop @ ( val_list_char @ V_2 ) ) @ S_1 @ ( val_list_char @ V_1 ) @ S_1 ) ) ).
thf(fact_1023_TryCatchRedsFinal,axiom,
! [E_2_1: exp_list_char,V: list_char,E_2_2: exp_list_char,H_2: nat > option1728594148on_val,L_2_1: list_char > option_val,C: list_char,D: list_char,Fs_1: produc1278157519t_char > option_val,E_1_1: exp_list_char,S_0: produc2090907612on_val,A: nat,H_1_1: nat > option1728594148on_val,L_1_1: list_char > option_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1_1 @ S_0 ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) @ ( produc755559506on_val @ H_1_1 @ L_1_1 ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( ( H_1_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ Fs_1 ) ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ D @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ P ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_2_1 @ ( produc755559506on_val @ H_1_1 @ ( fun_up1149430426on_val @ L_1_1 @ V @ ( some_val @ ( addr @ A ) ) ) ) ) @ ( produc235638504on_val @ E_2_2 @ ( produc755559506on_val @ H_2 @ L_2_1 ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( final_list_char @ E_2_2 )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ E_1_1 @ C @ V @ E_2_1 ) @ S_0 ) @ ( produc235638504on_val @ E_2_2 @ ( produc755559506on_val @ H_2 @ ( fun_up1149430426on_val @ L_2_1 @ V @ ( L_1_1 @ V ) ) ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ) ) ) ).
thf(fact_1024_FAccRedsVal,axiom,
! [F: list_char,D: list_char,V_1: val,C: list_char,Fs_1: produc1278157519t_char > option_val,E_1: exp_list_char,S_1: produc2090907612on_val,A: nat,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ A ) ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( ( hp @ S @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ Fs_1 ) ) )
=> ( ( ( Fs_1 @ ( produc5062597t_char @ F @ D ) )
= ( some_val @ V_1 ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ E_1 @ F @ D ) @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ V_1 ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ) ).
thf(fact_1025_eval__cases_I3_J,axiom,
! [P: list_P1999446415t_char,E_1_1: exp_list_char,Bop: bop,E_2_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( eval @ P @ ( binOp_list_char @ E_1_1 @ Bop @ E_2_1 ) @ S_1 @ E @ S )
=> ( ! [V_1_2: val,S_1_2: produc2090907612on_val,V_2_1: val,V_3: val] :
( ( E
= ( val_list_char @ V_3 ) )
=> ( ( eval @ P @ E_1_1 @ S_1 @ ( val_list_char @ V_1_2 ) @ S_1_2 )
=> ( ( eval @ P @ E_2_1 @ S_1_2 @ ( val_list_char @ V_2_1 ) @ S )
=> ( ( binop @ ( produc621191550al_val @ Bop @ ( product_Pair_val_val @ V_1_2 @ V_2_1 ) ) )
!= ( some_val @ V_3 ) ) ) ) )
=> ( ! [E_5: exp_list_char] :
( ( E
= ( throw_list_char @ E_5 ) )
=> ~ ( eval @ P @ E_1_1 @ S_1 @ ( throw_list_char @ E_5 ) @ S ) )
=> ~ ! [V_1_2: val,S_1_2: produc2090907612on_val,E_5: exp_list_char] :
( ( E
= ( throw_list_char @ E_5 ) )
=> ( ( eval @ P @ E_1_1 @ S_1 @ ( val_list_char @ V_1_2 ) @ S_1_2 )
=> ~ ( eval @ P @ E_2_1 @ S_1_2 @ ( throw_list_char @ E_5 ) @ S ) ) ) ) ) ) ).
thf(fact_1026_red__reds_ORedFAcc,axiom,
! [P: list_P1999446415t_char,F: list_char,D: list_char,V_1: val,S_1: produc2090907612on_val,A: nat,C: list_char,Fs_1: produc1278157519t_char > option_val] :
( ( ( hp @ S_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ Fs_1 ) ) )
=> ( ( ( Fs_1 @ ( produc5062597t_char @ F @ D ) )
= ( some_val @ V_1 ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ ( val_list_char @ ( addr @ A ) ) @ F @ D ) @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ V_1 ) @ S_1 ) ) @ ( red @ P ) ) ) ) ).
thf(fact_1027_red__reds_ORedCast,axiom,
! [C: list_char,P: list_P1999446415t_char,S_1: produc2090907612on_val,A: nat,D: list_char,Fs_1: produc1278157519t_char > option_val] :
( ( ( hp @ S_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ Fs_1 ) ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ D @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ C @ ( val_list_char @ ( addr @ A ) ) ) @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ A ) ) @ S_1 ) ) @ ( red @ P ) ) ) ) ).
thf(fact_1028_red__reds_ORedTryFail,axiom,
! [V: list_char,E_2_1: exp_list_char,C: list_char,P: list_P1999446415t_char,S_1: produc2090907612on_val,A: nat,D: list_char,Fs_1: produc1278157519t_char > option_val] :
( ( ( hp @ S_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ Fs_1 ) ) )
=> ( ~ ( member1251428284t_char @ ( produc5062597t_char @ D @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) @ C @ V @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) @ S_1 ) ) @ ( red @ P ) ) ) ) ).
thf(fact_1029_CastRedsAddr,axiom,
! [C: list_char,D: list_char,Fs_1: produc1278157519t_char > option_val,E_1: exp_list_char,S_1: produc2090907612on_val,A: nat,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ A ) ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( ( hp @ S @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ Fs_1 ) ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ D @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ C @ E_1 ) @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ A ) ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ) ).
thf(fact_1030_Cast,axiom,
! [C: list_char,D: list_char,Fs_1: produc1278157519t_char > option_val,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,A: nat,H_1: nat > option1728594148on_val,L_1: list_char > option_val] :
( ( eval @ P @ E_1 @ S_0 @ ( val_list_char @ ( addr @ A ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) )
=> ( ( ( H_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ Fs_1 ) ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ D @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ P ) ) )
=> ( eval @ P @ ( cast_list_char @ C @ E_1 ) @ S_0 @ ( val_list_char @ ( addr @ A ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) ) ) ) ).
thf(fact_1031_TryThrow,axiom,
! [V: list_char,E_2_1: exp_list_char,C: list_char,D: list_char,Fs_1: produc1278157519t_char > option_val,P: list_P1999446415t_char,E_1_1: exp_list_char,S_0: produc2090907612on_val,A: nat,H_1_1: nat > option1728594148on_val,L_1_1: list_char > option_val] :
( ( eval @ P @ E_1_1 @ S_0 @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) @ ( produc755559506on_val @ H_1_1 @ L_1_1 ) )
=> ( ( ( H_1_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ Fs_1 ) ) )
=> ( ~ ( member1251428284t_char @ ( produc5062597t_char @ D @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ P ) ) )
=> ( eval @ P @ ( tryCatch_list_char @ E_1_1 @ C @ V @ E_2_1 ) @ S_0 @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) @ ( produc755559506on_val @ H_1_1 @ L_1_1 ) ) ) ) ) ).
thf(fact_1032_redp__redsp_ORedFAcc,axiom,
! [P: list_P1999446415t_char,F: list_char,D: list_char,V_1: val,S_1: produc2090907612on_val,A: nat,C: list_char,Fs_1: produc1278157519t_char > option_val] :
( ( ( hp @ S_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ Fs_1 ) ) )
=> ( ( ( Fs_1 @ ( produc5062597t_char @ F @ D ) )
= ( some_val @ V_1 ) )
=> ( redp @ P @ ( fAcc_list_char @ ( val_list_char @ ( addr @ A ) ) @ F @ D ) @ S_1 @ ( val_list_char @ V_1 ) @ S_1 ) ) ) ).
thf(fact_1033_TryCatch,axiom,
! [E_2_1: exp_list_char,V: list_char,E_2_2: exp_list_char,H_2: nat > option1728594148on_val,L_2_1: list_char > option_val,C: list_char,D: list_char,Fs_1: produc1278157519t_char > option_val,P: list_P1999446415t_char,E_1_1: exp_list_char,S_0: produc2090907612on_val,A: nat,H_1_1: nat > option1728594148on_val,L_1_1: list_char > option_val] :
( ( eval @ P @ E_1_1 @ S_0 @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) @ ( produc755559506on_val @ H_1_1 @ L_1_1 ) )
=> ( ( ( H_1_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ Fs_1 ) ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ D @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ P ) ) )
=> ( ( eval @ P @ E_2_1 @ ( produc755559506on_val @ H_1_1 @ ( fun_up1149430426on_val @ L_1_1 @ V @ ( some_val @ ( addr @ A ) ) ) ) @ E_2_2 @ ( produc755559506on_val @ H_2 @ L_2_1 ) )
=> ( eval @ P @ ( tryCatch_list_char @ E_1_1 @ C @ V @ E_2_1 ) @ S_0 @ E_2_2 @ ( produc755559506on_val @ H_2 @ ( fun_up1149430426on_val @ L_2_1 @ V @ ( L_1_1 @ V ) ) ) ) ) ) ) ) ).
thf(fact_1034_TryRedsFail,axiom,
! [V: list_char,E_2_1: exp_list_char,C: list_char,D: list_char,Fs_1: produc1278157519t_char > option_val,E_1_1: exp_list_char,S_1: produc2090907612on_val,A: nat,H_1: nat > option1728594148on_val,L_1: list_char > option_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1_1 @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( ( H_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ Fs_1 ) ) )
=> ( ~ ( member1251428284t_char @ ( produc5062597t_char @ D @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ E_1_1 @ C @ V @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ) ).
thf(fact_1035_CastRedsFail,axiom,
! [C: list_char,D: list_char,Fs_1: produc1278157519t_char > option_val,E_1: exp_list_char,S_1: produc2090907612on_val,A: nat,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ A ) ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( ( hp @ S @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ Fs_1 ) ) )
=> ( ~ ( member1251428284t_char @ ( produc5062597t_char @ D @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ C @ E_1 ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ classCast ) ) ) ) @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ) ).
thf(fact_1036_red__reds_ORedCastFail,axiom,
! [C: list_char,P: list_P1999446415t_char,S_1: produc2090907612on_val,A: nat,D: list_char,Fs_1: produc1278157519t_char > option_val] :
( ( ( hp @ S_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ Fs_1 ) ) )
=> ( ~ ( member1251428284t_char @ ( produc5062597t_char @ D @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ C @ ( val_list_char @ ( addr @ A ) ) ) @ S_1 ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ classCast ) ) ) ) @ S_1 ) ) @ ( red @ P ) ) ) ) ).
thf(fact_1037_CastFail,axiom,
! [C: list_char,D: list_char,Fs_1: produc1278157519t_char > option_val,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,A: nat,H_1: nat > option1728594148on_val,L_1: list_char > option_val] :
( ( eval @ P @ E_1 @ S_0 @ ( val_list_char @ ( addr @ A ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) )
=> ( ( ( H_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ Fs_1 ) ) )
=> ( ~ ( member1251428284t_char @ ( produc5062597t_char @ D @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ P ) ) )
=> ( eval @ P @ ( cast_list_char @ C @ E_1 ) @ S_0 @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ classCast ) ) ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) ) ) ) ).
thf(fact_1038_red__reds_ORedTryCatch,axiom,
! [V: list_char,E_2_1: exp_list_char,C: list_char,P: list_P1999446415t_char,S_1: produc2090907612on_val,A: nat,D: list_char,Fs_1: produc1278157519t_char > option_val] :
( ( ( hp @ S_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ Fs_1 ) ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ D @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) @ C @ V @ E_2_1 ) @ S_1 ) @ ( produc235638504on_val @ ( block_list_char @ V @ ( class @ C ) @ ( seq_list_char @ ( lAss_list_char @ V @ ( val_list_char @ ( addr @ A ) ) ) @ E_2_1 ) ) @ S_1 ) ) @ ( red @ P ) ) ) ) ).
thf(fact_1039_hext__def,axiom,
! [H_1: nat > option1728594148on_val,H: nat > option1728594148on_val] :
( ( hext @ H_1 @ H )
<=> ! [A_2: nat,C_1: list_char,Fs: produc1278157519t_char > option_val] :
( ( ( H_1 @ A_2 )
= ( some_P451527732on_val @ ( produc926070009on_val @ C_1 @ Fs ) ) )
=> ? [Fs_4: produc1278157519t_char > option_val] :
( ( H @ A_2 )
= ( some_P451527732on_val @ ( produc926070009on_val @ C_1 @ Fs_4 ) ) ) ) ) ).
thf(fact_1040_hext__objD,axiom,
! [A: nat,C: list_char,Fs_1: produc1278157519t_char > option_val,H_1: nat > option1728594148on_val,H: nat > option1728594148on_val] :
( ( hext @ H_1 @ H )
=> ( ( ( H_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ Fs_1 ) ) )
=> ? [Fs_4: produc1278157519t_char > option_val] :
( ( H @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ Fs_4 ) ) ) ) ) ).
thf(fact_1041_finalRefE,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,T_3: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ T_3 )
=> ( ( is_refT @ T_3 )
=> ( ( final_list_char @ E_1 )
=> ( ( E_1
!= ( val_list_char @ null ) )
=> ( ( ? [A_2: nat] :
( E_1
= ( val_list_char @ ( addr @ A_2 ) ) )
=> ! [C_1: list_char] :
( T_3
!= ( class @ C_1 ) ) )
=> ~ ! [A_2: nat] :
( E_1
!= ( throw_list_char @ ( val_list_char @ ( addr @ A_2 ) ) ) ) ) ) ) ) ) ).
thf(fact_1042_binop_Osimps_I1_J,axiom,
! [V_1_1: val,V_2: val] :
( ( binop @ ( produc621191550al_val @ c_Expr_Obop_OEq @ ( product_Pair_val_val @ V_1_1 @ V_2 ) ) )
= ( some_val @ ( bool @ ( V_1_1 = V_2 ) ) ) ) ).
thf(fact_1043_final__addrE,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,C: list_char] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ ( class @ C ) )
=> ( ( final_list_char @ E_1 )
=> ( ! [A_2: nat] :
( E_1
!= ( val_list_char @ ( addr @ A_2 ) ) )
=> ~ ! [A_2: nat] :
( E_1
!= ( throw_list_char @ ( val_list_char @ ( addr @ A_2 ) ) ) ) ) ) ) ).
thf(fact_1044_redp__redsp_ORedTryCatch,axiom,
! [V: list_char,E_2_1: exp_list_char,P: list_P1999446415t_char,C: list_char,S_1: produc2090907612on_val,A: nat,D: list_char,Fs_1: produc1278157519t_char > option_val] :
( ( ( hp @ S_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ Fs_1 ) ) )
=> ( ( transi1065307915t_char @ ( subcls744239332t_char @ P ) @ D @ C )
=> ( redp @ P @ ( tryCatch_list_char @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) @ C @ V @ E_2_1 ) @ S_1 @ ( block_list_char @ V @ ( class @ C ) @ ( seq_list_char @ ( lAss_list_char @ V @ ( val_list_char @ ( addr @ A ) ) ) @ E_2_1 ) ) @ S_1 ) ) ) ).
thf(fact_1045_BlockRedsFinal,axiom,
! [T_3: ty,H_0: nat > option1728594148on_val,L_0: list_char > option_val,V: list_char,E_0: exp_list_char,S_0: produc2090907612on_val,E_2_1: exp_list_char,H_2: nat > option1728594148on_val,L_2_1: list_char > option_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_0 @ S_0 ) @ ( produc235638504on_val @ E_2_1 @ ( produc755559506on_val @ H_2 @ L_2_1 ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( final_list_char @ E_2_1 )
=> ( ( S_0
= ( produc755559506on_val @ H_0 @ ( fun_up1149430426on_val @ L_0 @ V @ none_val ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ V @ T_3 @ E_0 ) @ ( produc755559506on_val @ H_0 @ L_0 ) ) @ ( produc235638504on_val @ E_2_1 @ ( produc755559506on_val @ H_2 @ ( fun_up1149430426on_val @ L_2_1 @ V @ ( L_0 @ V ) ) ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ) ).
thf(fact_1046_WTrtCast,axiom,
! [C: list_char,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,T_3: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ T_3 )
=> ( ( is_refT @ T_3 )
=> ( ( is_cla570604648t_char @ P @ C )
=> ( wTrt @ P @ H_1 @ E_3 @ ( cast_list_char @ C @ E_1 ) @ ( class @ C ) ) ) ) ) ).
thf(fact_1047_Block,axiom,
! [T_3: ty,P: list_P1999446415t_char,E_0: exp_list_char,H_0: nat > option1728594148on_val,L_0: list_char > option_val,V: list_char,E_1_1: exp_list_char,H_1_1: nat > option1728594148on_val,L_1_1: list_char > option_val] :
( ( eval @ P @ E_0 @ ( produc755559506on_val @ H_0 @ ( fun_up1149430426on_val @ L_0 @ V @ none_val ) ) @ E_1_1 @ ( produc755559506on_val @ H_1_1 @ L_1_1 ) )
=> ( eval @ P @ ( block_list_char @ V @ T_3 @ E_0 ) @ ( produc755559506on_val @ H_0 @ L_0 ) @ E_1_1 @ ( produc755559506on_val @ H_1_1 @ ( fun_up1149430426on_val @ L_1_1 @ V @ ( L_0 @ V ) ) ) ) ) ).
thf(fact_1048_redp__redsp_ORedCast,axiom,
! [P: list_P1999446415t_char,C: list_char,S_1: produc2090907612on_val,A: nat,D: list_char,Fs_1: produc1278157519t_char > option_val] :
( ( ( hp @ S_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ Fs_1 ) ) )
=> ( ( transi1065307915t_char @ ( subcls744239332t_char @ P ) @ D @ C )
=> ( redp @ P @ ( cast_list_char @ C @ ( val_list_char @ ( addr @ A ) ) ) @ S_1 @ ( val_list_char @ ( addr @ A ) ) @ S_1 ) ) ) ).
thf(fact_1049_redp__redsp_ORedTryFail,axiom,
! [V: list_char,E_2_1: exp_list_char,P: list_P1999446415t_char,C: list_char,S_1: produc2090907612on_val,A: nat,D: list_char,Fs_1: produc1278157519t_char > option_val] :
( ( ( hp @ S_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ Fs_1 ) ) )
=> ( ~ ( transi1065307915t_char @ ( subcls744239332t_char @ P ) @ D @ C )
=> ( redp @ P @ ( tryCatch_list_char @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) @ C @ V @ E_2_1 ) @ S_1 @ ( throw_list_char @ ( val_list_char @ ( addr @ A ) ) ) @ S_1 ) ) ) ).
thf(fact_1050_redp__redsp_ORedCastFail,axiom,
! [P: list_P1999446415t_char,C: list_char,S_1: produc2090907612on_val,A: nat,D: list_char,Fs_1: produc1278157519t_char > option_val] :
( ( ( hp @ S_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ Fs_1 ) ) )
=> ( ~ ( transi1065307915t_char @ ( subcls744239332t_char @ P ) @ D @ C )
=> ( redp @ P @ ( cast_list_char @ C @ ( val_list_char @ ( addr @ A ) ) ) @ S_1 @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ classCast ) ) ) ) @ S_1 ) ) ) ).
thf(fact_1051_WTrt__elim__cases_I6_J,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,D: list_char,E_1: exp_list_char,T_3: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ ( cast_list_char @ D @ E_1 ) @ T_3 )
=> ~ ( ( T_3
= ( class @ D ) )
=> ! [T_4: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ T_4 )
=> ( ( is_refT @ T_4 )
=> ~ ( is_cla570604648t_char @ P @ D ) ) ) ) ) ).
thf(fact_1052_red__reds_OBlockRedSome,axiom,
! [T_3: ty,V_1: val,E_1: exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,V: list_char,E: exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ ( produc755559506on_val @ H_1 @ ( fun_up1149430426on_val @ L_1 @ V @ none_val ) ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ H @ L ) ) ) @ ( red @ P ) )
=> ( ( ( L @ V )
= ( some_val @ V_1 ) )
=> ( ~ ( assigned @ V @ E_1 )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ V @ T_3 @ E_1 ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) @ ( produc235638504on_val @ ( block_list_char @ V @ T_3 @ ( seq_list_char @ ( lAss_list_char @ V @ ( val_list_char @ V_1 ) ) @ E ) ) @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ L @ V @ ( L_1 @ V ) ) ) ) ) @ ( red @ P ) ) ) ) ) ).
thf(fact_1053_redp__redsp_OBlockRedSome,axiom,
! [T_3: ty,V_1: val,P: list_P1999446415t_char,E_1: exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,V: list_char,E: exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val] :
( ( redp @ P @ E_1 @ ( produc755559506on_val @ H_1 @ ( fun_up1149430426on_val @ L_1 @ V @ none_val ) ) @ E @ ( produc755559506on_val @ H @ L ) )
=> ( ( ( L @ V )
= ( some_val @ V_1 ) )
=> ( ~ ( assigned @ V @ E_1 )
=> ( redp @ P @ ( block_list_char @ V @ T_3 @ E_1 ) @ ( produc755559506on_val @ H_1 @ L_1 ) @ ( block_list_char @ V @ T_3 @ ( seq_list_char @ ( lAss_list_char @ V @ ( val_list_char @ V_1 ) ) @ E ) ) @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ L @ V @ ( L_1 @ V ) ) ) ) ) ) ) ).
thf(fact_1054_eval__cases_I8_J,axiom,
! [P: list_P1999446415t_char,V: list_char,T_3: ty,E_1_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val] :
( ( eval @ P @ ( block_list_char @ V @ T_3 @ E_1_1 ) @ S_1 @ E @ S )
=> ~ ! [H_0_1: nat > option1728594148on_val,L_0_1: list_char > option_val] :
( ( S_1
= ( produc755559506on_val @ H_0_1 @ L_0_1 ) )
=> ! [H_1_2: nat > option1728594148on_val,L_1_2: list_char > option_val] :
( ( S
= ( produc755559506on_val @ H_1_2 @ ( fun_up1149430426on_val @ L_1_2 @ V @ ( L_0_1 @ V ) ) ) )
=> ~ ( eval @ P @ E_1_1 @ ( produc755559506on_val @ H_0_1 @ ( fun_up1149430426on_val @ L_0_1 @ V @ none_val ) ) @ E @ ( produc755559506on_val @ H_1_2 @ L_1_2 ) ) ) ) ) ).
thf(fact_1055_hext__new,axiom,
! [X_2: produc2088785539on_val,H_1: nat > option1728594148on_val,A: nat] :
( ( ( H_1 @ A )
= none_P1260844216on_val )
=> ( hext @ H_1 @ ( fun_up1472480727on_val @ H_1 @ A @ ( some_P451527732on_val @ X_2 ) ) ) ) ).
thf(fact_1056_redp__redsp_OBlockRedNone,axiom,
! [T_3: ty,P: list_P1999446415t_char,E_1: exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,V: list_char,E: exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val] :
( ( redp @ P @ E_1 @ ( produc755559506on_val @ H_1 @ ( fun_up1149430426on_val @ L_1 @ V @ none_val ) ) @ E @ ( produc755559506on_val @ H @ L ) )
=> ( ( ( L @ V )
= none_val )
=> ( ~ ( assigned @ V @ E_1 )
=> ( redp @ P @ ( block_list_char @ V @ T_3 @ E_1 ) @ ( produc755559506on_val @ H_1 @ L_1 ) @ ( block_list_char @ V @ T_3 @ E ) @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ L @ V @ ( L_1 @ V ) ) ) ) ) ) ) ).
thf(fact_1057_red__reds_OBlockRedNone,axiom,
! [T_3: ty,E_1: exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,V: list_char,E: exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ ( produc755559506on_val @ H_1 @ ( fun_up1149430426on_val @ L_1 @ V @ none_val ) ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ H @ L ) ) ) @ ( red @ P ) )
=> ( ( ( L @ V )
= none_val )
=> ( ~ ( assigned @ V @ E_1 )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ V @ T_3 @ E_1 ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) @ ( produc235638504on_val @ ( block_list_char @ V @ T_3 @ E ) @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ L @ V @ ( L_1 @ V ) ) ) ) ) @ ( red @ P ) ) ) ) ) ).
thf(fact_1058_assigned__def,axiom,
! [V: list_char,E_1: exp_list_char] :
( ( assigned @ V @ E_1 )
<=> ? [V_3: val,E_4: exp_list_char] :
( E_1
= ( seq_list_char @ ( lAss_list_char @ V @ ( val_list_char @ V_3 ) ) @ E_4 ) ) ) ).
thf(fact_1059_binop_Osimps_I3_J,axiom,
! [V_2: val] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ unit @ V_2 ) ) )
= none_val ) ).
thf(fact_1060_binop_Osimps_I7_J,axiom,
! [V_1_1: val] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ V_1_1 @ unit ) ) )
= none_val ) ).
thf(fact_1061_binop_Osimps_I5_J,axiom,
! [V_1: $o,V_2: val] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ ( bool @ V_1 ) @ V_2 ) ) )
= none_val ) ).
thf(fact_1062_bop_Osimps_I1_J,axiom,
c_Expr_Obop_OEq != add ).
thf(fact_1063_bop_Osimps_I2_J,axiom,
add != c_Expr_Obop_OEq ).
thf(fact_1064_bop_Oexhaust,axiom,
! [Y: bop] :
( ( Y != c_Expr_Obop_OEq )
=> ( Y = add ) ) ).
thf(fact_1065_binop_Osimps_I10_J,axiom,
! [V_1_1: val,V_1: nat] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ V_1_1 @ ( addr @ V_1 ) ) ) )
= none_val ) ).
thf(fact_1066_binop_Osimps_I6_J,axiom,
! [V_1: nat,V_2: val] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ ( addr @ V_1 ) @ V_2 ) ) )
= none_val ) ).
thf(fact_1067_binop_Osimps_I4_J,axiom,
! [V_2: val] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ null @ V_2 ) ) )
= none_val ) ).
thf(fact_1068_binop_Osimps_I8_J,axiom,
! [V_1_1: val] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ V_1_1 @ null ) ) )
= none_val ) ).
thf(fact_1069_binop_Osimps_I9_J,axiom,
! [V_1_1: val,V_1: $o] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ V_1_1 @ ( bool @ V_1 ) ) ) )
= none_val ) ).
thf(fact_1070_WTrtTry,axiom,
! [V: list_char,C: list_char,E_2_1: exp_list_char,T_2_2: ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1_1: exp_list_char,T_1_2: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1_1 @ T_1_2 )
=> ( ( wTrt @ P @ H_1 @ ( fun_up424764369ion_ty @ E_3 @ V @ ( some_ty @ ( class @ C ) ) ) @ E_2_1 @ T_2_2 )
=> ( ( widen_2090681816t_char @ P @ T_1_2 @ T_2_2 )
=> ( wTrt @ P @ H_1 @ E_3 @ ( tryCatch_list_char @ E_1_1 @ C @ V @ E_2_1 ) @ T_2_2 ) ) ) ) ).
thf(fact_1071_hextI,axiom,
! [H: nat > option1728594148on_val,H_1: nat > option1728594148on_val] :
( ! [A_2: nat,C_1: list_char,Fs: produc1278157519t_char > option_val] :
( ( ( H_1 @ A_2 )
= ( some_P451527732on_val @ ( produc926070009on_val @ C_1 @ Fs ) ) )
=> ? [Fs_4: produc1278157519t_char > option_val] :
( ( H @ A_2 )
= ( some_P451527732on_val @ ( produc926070009on_val @ C_1 @ Fs_4 ) ) ) )
=> ( hext @ H_1 @ H ) ) ).
thf(fact_1072_WTrts__Val,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,Vs_1: list_val,Ts: list_ty] :
( ( wTrts @ P @ H_1 @ E_3 @ ( map_va1934808527t_char @ val_list_char @ Vs_1 ) @ Ts )
<=> ( ( map_val_option_ty @ ( typeof_h @ H_1 ) @ Vs_1 )
= ( map_ty_option_ty @ some_ty @ Ts ) ) ) ).
thf(fact_1073_WTrtVal,axiom,
! [P: list_P1999446415t_char,E_3: list_char > option_ty,H_1: nat > option1728594148on_val,V_1: val,T_3: ty] :
( ( ( typeof_h @ H_1 @ V_1 )
= ( some_ty @ T_3 ) )
=> ( wTrt @ P @ H_1 @ E_3 @ ( val_list_char @ V_1 ) @ T_3 ) ) ).
thf(fact_1074_hext__typeof__mono,axiom,
! [V_1: val,T_3: ty,H_1: nat > option1728594148on_val,H: nat > option1728594148on_val] :
( ( hext @ H_1 @ H )
=> ( ( ( typeof_h @ H_1 @ V_1 )
= ( some_ty @ T_3 ) )
=> ( ( typeof_h @ H @ V_1 )
= ( some_ty @ T_3 ) ) ) ) ).
thf(fact_1075_WTrt__elim__cases_I5_J,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1_1: exp_list_char,C: list_char,V: list_char,E_2_1: exp_list_char,T_3: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ ( tryCatch_list_char @ E_1_1 @ C @ V @ E_2_1 ) @ T_3 )
=> ~ ! [T_1_1: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1_1 @ T_1_1 )
=> ( ( wTrt @ P @ H_1 @ ( fun_up424764369ion_ty @ E_3 @ V @ ( some_ty @ ( class @ C ) ) ) @ E_2_1 @ T_3 )
=> ~ ( widen_2090681816t_char @ P @ T_1_1 @ T_3 ) ) ) ) ).
thf(fact_1076_WTrt_H__WTrts_H_Ointros_I16_J,axiom,
! [E_3: list_char > option_ty,V: list_char,E_2_1: exp_list_char,T_2_2: ty,P: list_P1999446415t_char,T_3: ty,H_1: nat > option1728594148on_val,V_1: val,T_1_2: ty] :
( ( ( typeof_h @ H_1 @ V_1 )
= ( some_ty @ T_1_2 ) )
=> ( ( widen_2090681816t_char @ P @ T_1_2 @ T_3 )
=> ( ( wTrt_1 @ P @ H_1 @ ( fun_up424764369ion_ty @ E_3 @ V @ ( some_ty @ T_3 ) ) @ E_2_1 @ T_2_2 )
=> ( wTrt_1 @ P @ H_1 @ E_3 @ ( block_list_char @ V @ T_3 @ ( seq_list_char @ ( lAss_list_char @ V @ ( val_list_char @ V_1 ) ) @ E_2_1 ) ) @ T_2_2 ) ) ) ) ).
thf(fact_1077_WTrt_H__WTrts_H_Ointros_I3_J,axiom,
! [P: list_P1999446415t_char,E_3: list_char > option_ty,H_1: nat > option1728594148on_val,V_1: val,T_3: ty] :
( ( ( typeof_h @ H_1 @ V_1 )
= ( some_ty @ T_3 ) )
=> ( wTrt_1 @ P @ H_1 @ E_3 @ ( val_list_char @ V_1 ) @ T_3 ) ) ).
thf(fact_1078_WTrt_H__WTrts_H_Ointros_I8_J,axiom,
! [F: list_char,T_3: ty,D: list_char,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,C: list_char] :
( ( wTrt_1 @ P @ H_1 @ E_3 @ E_1 @ ( class @ C ) )
=> ( ( has_fi1183600461t_char @ P @ C @ F @ T_3 @ D )
=> ( wTrt_1 @ P @ H_1 @ E_3 @ ( fAcc_list_char @ E_1 @ F @ D ) @ T_3 ) ) ) ).
thf(fact_1079_WTrt_H__WTrts_H_Ointros_I18_J,axiom,
! [E_2_1: exp_list_char,T_2_2: ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1_1: exp_list_char,T_1_2: ty] :
( ( wTrt_1 @ P @ H_1 @ E_3 @ E_1_1 @ T_1_2 )
=> ( ( wTrt_1 @ P @ H_1 @ E_3 @ E_2_1 @ T_2_2 )
=> ( wTrt_1 @ P @ H_1 @ E_3 @ ( seq_list_char @ E_1_1 @ E_2_1 ) @ T_2_2 ) ) ) ).
thf(fact_1080_WTrt_H__WTrts_H_Ointros_I9_J,axiom,
! [F: list_char,D: list_char,T_3: ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char] :
( ( wTrt_1 @ P @ H_1 @ E_3 @ E_1 @ nt )
=> ( wTrt_1 @ P @ H_1 @ E_3 @ ( fAcc_list_char @ E_1 @ F @ D ) @ T_3 ) ) ).
thf(fact_1081_wt_H__iff__wt,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,T_3: ty] :
( ( wTrt_1 @ P @ H_1 @ E_3 @ E_1 @ T_3 )
<=> ( wTrt @ P @ H_1 @ E_3 @ E_1 @ T_3 ) ) ).
thf(fact_1082_wt_H__wt,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,T_3: ty] :
( ( wTrt_1 @ P @ H_1 @ E_3 @ E_1 @ T_3 )
=> ( wTrt @ P @ H_1 @ E_3 @ E_1 @ T_3 ) ) ).
thf(fact_1083_wt__wt_H,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,T_3: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ T_3 )
=> ( wTrt_1 @ P @ H_1 @ E_3 @ E_1 @ T_3 ) ) ).
thf(fact_1084_WTrt_H__WTrts_H_Ointros_I21_J,axiom,
! [T_3: ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,T_r: ty] :
( ( wTrt_1 @ P @ H_1 @ E_3 @ E_1 @ T_r )
=> ( ( is_refT @ T_r )
=> ( wTrt_1 @ P @ H_1 @ E_3 @ ( throw_list_char @ E_1 ) @ T_3 ) ) ) ).
thf(fact_1085_WTrtFAccNT,axiom,
! [F: list_char,D: list_char,T_3: ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ nt )
=> ( wTrt @ P @ H_1 @ E_3 @ ( fAcc_list_char @ E_1 @ F @ D ) @ T_3 ) ) ).
thf(fact_1086_WTrtCallNT,axiom,
! [M: list_char,T_3: ty,Es_1: list_exp_list_char,Ts: list_ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ nt )
=> ( ( wTrts @ P @ H_1 @ E_3 @ Es_1 @ Ts )
=> ( wTrt @ P @ H_1 @ E_3 @ ( call_list_char @ E_1 @ M @ Es_1 ) @ T_3 ) ) ) ).
thf(fact_1087_typeof__h_Osimps_I2_J,axiom,
! [H_1: nat > option1728594148on_val] :
( ( typeof_h @ H_1 @ null )
= ( some_ty @ nt ) ) ).
thf(fact_1088_WTrt_H__WTrts_H_Ointros_I2_J,axiom,
! [C: list_char,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,T_3: ty] :
( ( wTrt_1 @ P @ H_1 @ E_3 @ E_1 @ T_3 )
=> ( ( is_refT @ T_3 )
=> ( ( is_cla570604648t_char @ P @ C )
=> ( wTrt_1 @ P @ H_1 @ E_3 @ ( cast_list_char @ C @ E_1 ) @ ( class @ C ) ) ) ) ) ).
thf(fact_1089_WTrt_H__WTrts_H_Ointros_I17_J,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,V: list_char,T_3: ty,E_1: exp_list_char,T_6: ty] :
( ( wTrt_1 @ P @ H_1 @ ( fun_up424764369ion_ty @ E_3 @ V @ ( some_ty @ T_3 ) ) @ E_1 @ T_6 )
=> ( ~ ( assigned @ V @ E_1 )
=> ( wTrt_1 @ P @ H_1 @ E_3 @ ( block_list_char @ V @ T_3 @ E_1 ) @ T_6 ) ) ) ).
thf(fact_1090_WTrt_H__WTrts_H_Ointros_I22_J,axiom,
! [V: list_char,C: list_char,E_2_1: exp_list_char,T_2_2: ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1_1: exp_list_char,T_1_2: ty] :
( ( wTrt_1 @ P @ H_1 @ E_3 @ E_1_1 @ T_1_2 )
=> ( ( wTrt_1 @ P @ H_1 @ ( fun_up424764369ion_ty @ E_3 @ V @ ( some_ty @ ( class @ C ) ) ) @ E_2_1 @ T_2_2 )
=> ( ( widen_2090681816t_char @ P @ T_1_2 @ T_2_2 )
=> ( wTrt_1 @ P @ H_1 @ E_3 @ ( tryCatch_list_char @ E_1_1 @ C @ V @ E_2_1 ) @ T_2_2 ) ) ) ) ).
thf(fact_1091_WTrtFAcc,axiom,
! [F: list_char,T_3: ty,D: list_char,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,C: list_char] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ ( class @ C ) )
=> ( ( has_fi1183600461t_char @ P @ C @ F @ T_3 @ D )
=> ( wTrt @ P @ H_1 @ E_3 @ ( fAcc_list_char @ E_1 @ F @ D ) @ T_3 ) ) ) ).
thf(fact_1092_WTrt__elim__cases_I7_J,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,F: list_char,D: list_char,T_3: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ ( fAcc_list_char @ E_1 @ F @ D ) @ T_3 )
=> ( ! [C_1: list_char] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ ( class @ C_1 ) )
=> ~ ( has_fi1183600461t_char @ P @ C_1 @ F @ T_3 @ D ) )
=> ( wTrt @ P @ H_1 @ E_3 @ E_1 @ nt ) ) ) ).
thf(fact_1093_is__refT__def,axiom,
! [T_3: ty] :
( ( is_refT @ T_3 )
<=> ( ( T_3 = nt )
| ? [C_1: list_char] :
( T_3
= ( class @ C_1 ) ) ) ) ).
thf(fact_1094_ty_Osimps_I20_J,axiom,
! [List_1: list_char] :
( nt
!= ( class @ List_1 ) ) ).
thf(fact_1095_ty_Oinject,axiom,
! [List_2: list_char,List_1: list_char] :
( ( ( class @ List_2 )
= ( class @ List_1 ) )
<=> ( List_2 = List_1 ) ) ).
thf(fact_1096_ty_Osimps_I21_J,axiom,
! [List_1: list_char] :
( ( class @ List_1 )
!= nt ) ).
thf(fact_1097_refTE,axiom,
! [T_3: ty] :
( ( is_refT @ T_3 )
=> ( ( T_3 != nt )
=> ~ ! [C_1: list_char] :
( T_3
!= ( class @ C_1 ) ) ) ) ).
thf(fact_1098_WTrt_H__WTrts_H_Ointros_I10_J,axiom,
! [E_2_1: exp_list_char,T_2_2: ty,F: list_char,T_3: ty,D: list_char,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1_1: exp_list_char,C: list_char] :
( ( wTrt_1 @ P @ H_1 @ E_3 @ E_1_1 @ ( class @ C ) )
=> ( ( has_fi1183600461t_char @ P @ C @ F @ T_3 @ D )
=> ( ( wTrt_1 @ P @ H_1 @ E_3 @ E_2_1 @ T_2_2 )
=> ( ( widen_2090681816t_char @ P @ T_2_2 @ T_3 )
=> ( wTrt_1 @ P @ H_1 @ E_3 @ ( fAss_list_char @ E_1_1 @ F @ D @ E_2_1 ) @ void ) ) ) ) ) ).
thf(fact_1099_WTrtFAss,axiom,
! [E_2_1: exp_list_char,T_2_2: ty,F: list_char,T_3: ty,D: list_char,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1_1: exp_list_char,C: list_char] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1_1 @ ( class @ C ) )
=> ( ( has_fi1183600461t_char @ P @ C @ F @ T_3 @ D )
=> ( ( wTrt @ P @ H_1 @ E_3 @ E_2_1 @ T_2_2 )
=> ( ( widen_2090681816t_char @ P @ T_2_2 @ T_3 )
=> ( wTrt @ P @ H_1 @ E_3 @ ( fAss_list_char @ E_1_1 @ F @ D @ E_2_1 ) @ void ) ) ) ) ) ).
thf(fact_1100_typeof__ClassCast,axiom,
! [H_1: nat > option1728594148on_val] :
( ( preallocated @ H_1 )
=> ( ( typeof_h @ H_1 @ ( addr @ ( addr_of_sys_xcpt @ classCast ) ) )
= ( some_ty @ ( class @ classCast ) ) ) ) ).
thf(fact_1101_WTrtLAss,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_1: exp_list_char,T_6: ty,E_3: list_char > option_ty,V: list_char,T_3: ty] :
( ( ( E_3 @ V )
= ( some_ty @ T_3 ) )
=> ( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ T_6 )
=> ( ( widen_2090681816t_char @ P @ T_6 @ T_3 )
=> ( wTrt @ P @ H_1 @ E_3 @ ( lAss_list_char @ V @ E_1 ) @ void ) ) ) ) ).
thf(fact_1102_ty_Osimps_I9_J,axiom,
! [List_1: list_char] :
( ( class @ List_1 )
!= void ) ).
thf(fact_1103_ty_Osimps_I8_J,axiom,
! [List_1: list_char] :
( void
!= ( class @ List_1 ) ) ).
thf(fact_1104_preallocated__hext,axiom,
! [H: nat > option1728594148on_val,H_1: nat > option1728594148on_val] :
( ( preallocated @ H_1 )
=> ( ( hext @ H_1 @ H )
=> ( preallocated @ H ) ) ) ).
thf(fact_1105_ty_Osimps_I7_J,axiom,
nt != void ).
thf(fact_1106_ty_Osimps_I6_J,axiom,
void != nt ).
thf(fact_1107_preallocated__upd__obj,axiom,
! [Fs_3: produc1278157519t_char > option_val,A_1: nat,C_3: list_char,Fs_2: produc1278157519t_char > option_val,H_1: nat > option1728594148on_val] :
( ( preallocated @ H_1 )
=> ( ( ( H_1 @ A_1 )
= ( some_P451527732on_val @ ( produc926070009on_val @ C_3 @ Fs_2 ) ) )
=> ( preallocated @ ( fun_up1472480727on_val @ H_1 @ A_1 @ ( some_P451527732on_val @ ( produc926070009on_val @ C_3 @ Fs_3 ) ) ) ) ) ) ).
thf(fact_1108_preallocated__new,axiom,
! [X_1: produc2088785539on_val,A_1: nat,H_1: nat > option1728594148on_val] :
( ( preallocated @ H_1 )
=> ( ( ( H_1 @ A_1 )
= none_P1260844216on_val )
=> ( preallocated @ ( fun_up1472480727on_val @ H_1 @ A_1 @ ( some_P451527732on_val @ X_1 ) ) ) ) ) ).
thf(fact_1109_WTrtFAssNT,axiom,
! [F: list_char,D: list_char,E_2_1: exp_list_char,T_2_2: ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1_1: exp_list_char] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1_1 @ nt )
=> ( ( wTrt @ P @ H_1 @ E_3 @ E_2_1 @ T_2_2 )
=> ( wTrt @ P @ H_1 @ E_3 @ ( fAss_list_char @ E_1_1 @ F @ D @ E_2_1 ) @ void ) ) ) ).
thf(fact_1110_WTrt_H__WTrts_H_Ointros_I11_J,axiom,
! [F: list_char,D: list_char,E_2_1: exp_list_char,T_2_2: ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1_1: exp_list_char] :
( ( wTrt_1 @ P @ H_1 @ E_3 @ E_1_1 @ nt )
=> ( ( wTrt_1 @ P @ H_1 @ E_3 @ E_2_1 @ T_2_2 )
=> ( wTrt_1 @ P @ H_1 @ E_3 @ ( fAss_list_char @ E_1_1 @ F @ D @ E_2_1 ) @ void ) ) ) ).
thf(fact_1111_typeof__h_Osimps_I1_J,axiom,
! [H_1: nat > option1728594148on_val] :
( ( typeof_h @ H_1 @ unit )
= ( some_ty @ void ) ) ).
thf(fact_1112_typeof__NullPointer,axiom,
! [H_1: nat > option1728594148on_val] :
( ( preallocated @ H_1 )
=> ( ( typeof_h @ H_1 @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) )
= ( some_ty @ ( class @ nullPointer ) ) ) ) ).
thf(fact_1113_WTrt__elim__cases_I1_J,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,V_1: list_char,E_1: exp_list_char,T_3: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ ( lAss_list_char @ V_1 @ E_1 ) @ T_3 )
=> ~ ( ( T_3 = void )
=> ! [T_4: ty] :
( ( ( E_3 @ V_1 )
= ( some_ty @ T_4 ) )
=> ! [T_5: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ T_5 )
=> ~ ( widen_2090681816t_char @ P @ T_5 @ T_4 ) ) ) ) ) ).
thf(fact_1114_WTrt__elim__cases_I8_J,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,F: list_char,D: list_char,V_1: exp_list_char,T_3: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ ( fAss_list_char @ E_1 @ F @ D @ V_1 ) @ T_3 )
=> ( ( ( T_3 = void )
=> ! [C_1: list_char] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ ( class @ C_1 ) )
=> ! [T_4: ty] :
( ( has_fi1183600461t_char @ P @ C_1 @ F @ T_4 @ D )
=> ! [T_2_1: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ V_1 @ T_2_1 )
=> ~ ( widen_2090681816t_char @ P @ T_2_1 @ T_4 ) ) ) ) )
=> ~ ( ( T_3 = void )
=> ( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ nt )
=> ! [T_2_1: ty] :
~ ( wTrt @ P @ H_1 @ E_3 @ V_1 @ T_2_1 ) ) ) ) ) ).
thf(fact_1115_typeof__OutOfMemory,axiom,
! [H_1: nat > option1728594148on_val] :
( ( preallocated @ H_1 )
=> ( ( typeof_h @ H_1 @ ( addr @ ( addr_of_sys_xcpt @ outOfMemory ) ) )
= ( some_ty @ ( class @ outOfMemory ) ) ) ) ).
thf(fact_1116_sys__xcpts__cases,axiom,
! [P: list_char > $o,C: list_char] :
( ( member_list_char @ C @ sys_xcpts )
=> ( ( P @ nullPointer )
=> ( ( P @ outOfMemory )
=> ( ( P @ classCast )
=> ( P @ C ) ) ) ) ) ).
thf(fact_1117_red__reds_ORedNewFail,axiom,
! [C: list_char,L_1: list_char > option_val,P: list_P1999446415t_char,H_1: nat > option1728594148on_val] :
( ( ( new_Addr @ H_1 )
= none_nat )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( new_list_char @ C ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ outOfMemory ) ) ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) ) @ ( red @ P ) ) ) ).
thf(fact_1118_WTrtNew,axiom,
! [H_1: nat > option1728594148on_val,E_3: list_char > option_ty,P: list_P1999446415t_char,C: list_char] :
( ( is_cla570604648t_char @ P @ C )
=> ( wTrt @ P @ H_1 @ E_3 @ ( new_list_char @ C ) @ ( class @ C ) ) ) ).
thf(fact_1119_WTrt__elim__cases_I10_J,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,C: list_char,T_3: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ ( new_list_char @ C ) @ T_3 )
=> ~ ( ( T_3
= ( class @ C ) )
=> ~ ( is_cla570604648t_char @ P @ C ) ) ) ).
thf(fact_1120_new__Addr__SomeD,axiom,
! [H_1: nat > option1728594148on_val,A: nat] :
( ( ( new_Addr @ H_1 )
= ( some_nat @ A ) )
=> ( ( H_1 @ A )
= none_P1260844216on_val ) ) ).
thf(fact_1121_WTrt_H__WTrts_H_Ointros_I1_J,axiom,
! [H_1: nat > option1728594148on_val,E_3: list_char > option_ty,P: list_P1999446415t_char,C: list_char] :
( ( is_cla570604648t_char @ P @ C )
=> ( wTrt_1 @ P @ H_1 @ E_3 @ ( new_list_char @ C ) @ ( class @ C ) ) ) ).
thf(fact_1122_NewFail,axiom,
! [P: list_P1999446415t_char,C: list_char,L_1: list_char > option_val,H_1: nat > option1728594148on_val] :
( ( ( new_Addr @ H_1 )
= none_nat )
=> ( eval @ P @ ( new_list_char @ C ) @ ( produc755559506on_val @ H_1 @ L_1 ) @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ outOfMemory ) ) ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) ) ).
thf(fact_1123_redp__redsp_ORedNewFail,axiom,
! [P: list_P1999446415t_char,C: list_char,L_1: list_char > option_val,H_1: nat > option1728594148on_val] :
( ( ( new_Addr @ H_1 )
= none_nat )
=> ( redp @ P @ ( new_list_char @ C ) @ ( produc755559506on_val @ H_1 @ L_1 ) @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ outOfMemory ) ) ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) ) ).
thf(fact_1124_preallocated__def,axiom,
! [H_1: nat > option1728594148on_val] :
( ( preallocated @ H_1 )
<=> ! [X: list_char] :
( ( member_list_char @ X @ sys_xcpts )
=> ? [Fs: produc1278157519t_char > option_val] :
( ( H_1 @ ( addr_of_sys_xcpt @ X ) )
= ( some_P451527732on_val @ ( produc926070009on_val @ X @ Fs ) ) ) ) ) ).
thf(fact_1125_preallocatedD,axiom,
! [C: list_char,H_1: nat > option1728594148on_val] :
( ( preallocated @ H_1 )
=> ( ( member_list_char @ C @ sys_xcpts )
=> ? [Fs: produc1278157519t_char > option_val] :
( ( H_1 @ ( addr_of_sys_xcpt @ C ) )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ Fs ) ) ) ) ) ).
thf(fact_1126_preallocatedE,axiom,
! [P: ( nat > option1728594148on_val ) > list_char > $o,C: list_char,H_1: nat > option1728594148on_val] :
( ( preallocated @ H_1 )
=> ( ( member_list_char @ C @ sys_xcpts )
=> ( ! [Fs: produc1278157519t_char > option_val] :
( ( ( H_1 @ ( addr_of_sys_xcpt @ C ) )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ Fs ) ) )
=> ( P @ H_1 @ C ) )
=> ( P @ H_1 @ C ) ) ) ) ).
thf(fact_1127_red__reds_ORedNew,axiom,
! [L_1: list_char > option_val,H: nat > option1728594148on_val,P: list_P1999446415t_char,C: list_char,FDTs: list_P2023964830har_ty,H_1: nat > option1728594148on_val,A: nat] :
( ( ( new_Addr @ H_1 )
= ( some_nat @ A ) )
=> ( ( fields1147507508t_char @ P @ C @ FDTs )
=> ( ( H
= ( fun_up1472480727on_val @ H_1 @ A @ ( some_P451527732on_val @ ( produc926070009on_val @ C @ ( init_fields @ FDTs ) ) ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( new_list_char @ C ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ A ) ) @ ( produc755559506on_val @ H @ L_1 ) ) ) @ ( red @ P ) ) ) ) ) ).
thf(fact_1128_redp__redsp_ORedNew,axiom,
! [L_1: list_char > option_val,H: nat > option1728594148on_val,P: list_P1999446415t_char,C: list_char,FDTs: list_P2023964830har_ty,H_1: nat > option1728594148on_val,A: nat] :
( ( ( new_Addr @ H_1 )
= ( some_nat @ A ) )
=> ( ( fields1147507508t_char @ P @ C @ FDTs )
=> ( ( H
= ( fun_up1472480727on_val @ H_1 @ A @ ( some_P451527732on_val @ ( produc926070009on_val @ C @ ( init_fields @ FDTs ) ) ) ) )
=> ( redp @ P @ ( new_list_char @ C ) @ ( produc755559506on_val @ H_1 @ L_1 ) @ ( val_list_char @ ( addr @ A ) ) @ ( produc755559506on_val @ H @ L_1 ) ) ) ) ) ).
thf(fact_1129_New,axiom,
! [L_1: list_char > option_val,H: nat > option1728594148on_val,P: list_P1999446415t_char,C: list_char,FDTs: list_P2023964830har_ty,H_1: nat > option1728594148on_val,A: nat] :
( ( ( new_Addr @ H_1 )
= ( some_nat @ A ) )
=> ( ( fields1147507508t_char @ P @ C @ FDTs )
=> ( ( H
= ( fun_up1472480727on_val @ H_1 @ A @ ( some_P451527732on_val @ ( produc926070009on_val @ C @ ( init_fields @ FDTs ) ) ) ) )
=> ( eval @ P @ ( new_list_char @ C ) @ ( produc755559506on_val @ H_1 @ L_1 ) @ ( val_list_char @ ( addr @ A ) ) @ ( produc755559506on_val @ H @ L_1 ) ) ) ) ) ).
thf(fact_1130_WTrt_H__WTrts_H_Ointros_I15_J,axiom,
! [Es_1: list_exp_list_char,Ts: list_ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,T_3: ty] :
( ( wTrt_1 @ P @ H_1 @ E_3 @ E_1 @ T_3 )
=> ( ( wTrts_1 @ P @ H_1 @ E_3 @ Es_1 @ Ts )
=> ( wTrts_1 @ P @ H_1 @ E_3 @ ( cons_exp_list_char @ E_1 @ Es_1 ) @ ( cons_ty @ T_3 @ Ts ) ) ) ) ).
thf(fact_1131_WTrtBinOpEq,axiom,
! [E_2_1: exp_list_char,T_2_2: ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1_1: exp_list_char,T_1_2: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1_1 @ T_1_2 )
=> ( ( wTrt @ P @ H_1 @ E_3 @ E_2_1 @ T_2_2 )
=> ( wTrt @ P @ H_1 @ E_3 @ ( binOp_list_char @ E_1_1 @ c_Expr_Obop_OEq @ E_2_1 ) @ boolean ) ) ) ).
thf(fact_1132_WTrtCond,axiom,
! [T_3: ty,E_2_1: exp_list_char,T_2_2: ty,E_1_1: exp_list_char,T_1_2: ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ boolean )
=> ( ( wTrt @ P @ H_1 @ E_3 @ E_1_1 @ T_1_2 )
=> ( ( wTrt @ P @ H_1 @ E_3 @ E_2_1 @ T_2_2 )
=> ( ( ( widen_2090681816t_char @ P @ T_1_2 @ T_2_2 )
| ( widen_2090681816t_char @ P @ T_2_2 @ T_1_2 ) )
=> ( ( ( widen_2090681816t_char @ P @ T_1_2 @ T_2_2 )
=> ( T_3 = T_2_2 ) )
=> ( ( ( widen_2090681816t_char @ P @ T_2_2 @ T_1_2 )
=> ( T_3 = T_1_2 ) )
=> ( wTrt @ P @ H_1 @ E_3 @ ( cond_list_char @ E_1 @ E_1_1 @ E_2_1 ) @ T_3 ) ) ) ) ) ) ) ).
thf(fact_1133_WTrtWhile,axiom,
! [C_2: exp_list_char,T_3: ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ boolean )
=> ( ( wTrt @ P @ H_1 @ E_3 @ C_2 @ T_3 )
=> ( wTrt @ P @ H_1 @ E_3 @ ( while_list_char @ E_1 @ C_2 ) @ void ) ) ) ).
thf(fact_1134_ty_Osimps_I3_J,axiom,
boolean != void ).
thf(fact_1135_ty_Osimps_I2_J,axiom,
void != boolean ).
thf(fact_1136_ty_Osimps_I12_J,axiom,
boolean != nt ).
thf(fact_1137_ty_Osimps_I13_J,axiom,
nt != boolean ).
thf(fact_1138_ty_Osimps_I15_J,axiom,
! [List_1: list_char] :
( ( class @ List_1 )
!= boolean ) ).
thf(fact_1139_ty_Osimps_I14_J,axiom,
! [List_1: list_char] :
( boolean
!= ( class @ List_1 ) ) ).
thf(fact_1140_wts_H__iff__wts,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,Es_1: list_exp_list_char,Ts: list_ty] :
( ( wTrts_1 @ P @ H_1 @ E_3 @ Es_1 @ Ts )
<=> ( wTrts @ P @ H_1 @ E_3 @ Es_1 @ Ts ) ) ).
thf(fact_1141_wts_H__wts,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,Es_1: list_exp_list_char,Ts: list_ty] :
( ( wTrts_1 @ P @ H_1 @ E_3 @ Es_1 @ Ts )
=> ( wTrts @ P @ H_1 @ E_3 @ Es_1 @ Ts ) ) ).
thf(fact_1142_wts__wts_H,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,Es_1: list_exp_list_char,Ts: list_ty] :
( ( wTrts @ P @ H_1 @ E_3 @ Es_1 @ Ts )
=> ( wTrts_1 @ P @ H_1 @ E_3 @ Es_1 @ Ts ) ) ).
thf(fact_1143_WTrt_H__WTrts_H_Ointros_I19_J,axiom,
! [T_3: ty,E_2_1: exp_list_char,T_2_2: ty,E_1_1: exp_list_char,T_1_2: ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char] :
( ( wTrt_1 @ P @ H_1 @ E_3 @ E_1 @ boolean )
=> ( ( wTrt_1 @ P @ H_1 @ E_3 @ E_1_1 @ T_1_2 )
=> ( ( wTrt_1 @ P @ H_1 @ E_3 @ E_2_1 @ T_2_2 )
=> ( ( ( widen_2090681816t_char @ P @ T_1_2 @ T_2_2 )
| ( widen_2090681816t_char @ P @ T_2_2 @ T_1_2 ) )
=> ( ( ( widen_2090681816t_char @ P @ T_1_2 @ T_2_2 )
=> ( T_3 = T_2_2 ) )
=> ( ( ( widen_2090681816t_char @ P @ T_2_2 @ T_1_2 )
=> ( T_3 = T_1_2 ) )
=> ( wTrt_1 @ P @ H_1 @ E_3 @ ( cond_list_char @ E_1 @ E_1_1 @ E_2_1 ) @ T_3 ) ) ) ) ) ) ) ).
thf(fact_1144_WTrt_H__WTrts_H_Ointros_I20_J,axiom,
! [C_2: exp_list_char,T_3: ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char] :
( ( wTrt_1 @ P @ H_1 @ E_3 @ E_1 @ boolean )
=> ( ( wTrt_1 @ P @ H_1 @ E_3 @ C_2 @ T_3 )
=> ( wTrt_1 @ P @ H_1 @ E_3 @ ( while_list_char @ E_1 @ C_2 ) @ void ) ) ) ).
thf(fact_1145_typeof__h_Osimps_I3_J,axiom,
! [H_1: nat > option1728594148on_val,B: $o] :
( ( typeof_h @ H_1 @ ( bool @ B ) )
= ( some_ty @ boolean ) ) ).
thf(fact_1146_WTrt_H__WTrts_H_Ointros_I5_J,axiom,
! [E_2_1: exp_list_char,T_2_2: ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1_1: exp_list_char,T_1_2: ty] :
( ( wTrt_1 @ P @ H_1 @ E_3 @ E_1_1 @ T_1_2 )
=> ( ( wTrt_1 @ P @ H_1 @ E_3 @ E_2_1 @ T_2_2 )
=> ( wTrt_1 @ P @ H_1 @ E_3 @ ( binOp_list_char @ E_1_1 @ c_Expr_Obop_OEq @ E_2_1 ) @ boolean ) ) ) ).
thf(fact_1147_WTrt_H__WTrts_H_Ointros_I13_J,axiom,
! [M: list_char,T_3: ty,Es_1: list_exp_list_char,Ts: list_ty,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char] :
( ( wTrt_1 @ P @ H_1 @ E_3 @ E_1 @ nt )
=> ( ( wTrts_1 @ P @ H_1 @ E_3 @ Es_1 @ Ts )
=> ( wTrt_1 @ P @ H_1 @ E_3 @ ( call_list_char @ E_1 @ M @ Es_1 ) @ T_3 ) ) ) ).
thf(fact_1148_WTrt__elim__cases_I3_J,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,C_2: exp_list_char,T_3: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ ( while_list_char @ E_1 @ C_2 ) @ T_3 )
=> ~ ( ( T_3 = void )
=> ( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ boolean )
=> ! [T_4: ty] :
~ ( wTrt @ P @ H_1 @ E_3 @ C_2 @ T_4 ) ) ) ) ).
thf(fact_1149_WTrt__elim__cases_I2_J,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,E_1_1: exp_list_char,E_2_1: exp_list_char,T_3: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ ( cond_list_char @ E_1 @ E_1_1 @ E_2_1 ) @ T_3 )
=> ~ ( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ boolean )
=> ! [T_1_1: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1_1 @ T_1_1 )
=> ! [T_2_1: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ E_2_1 @ T_2_1 )
=> ( ( ( widen_2090681816t_char @ P @ T_1_1 @ T_2_1 )
| ( widen_2090681816t_char @ P @ T_2_1 @ T_1_1 ) )
=> ( ( ( widen_2090681816t_char @ P @ T_1_1 @ T_2_1 )
=> ( T_3 = T_2_1 ) )
=> ~ ( ( widen_2090681816t_char @ P @ T_2_1 @ T_1_1 )
=> ( T_3 = T_1_1 ) ) ) ) ) ) ) ) ).
thf(fact_1150_WTrt__elim__cases_I9_J,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1_1: exp_list_char,Bop: bop,E_2_1: exp_list_char,T_3: ty] :
( ( wTrt @ P @ H_1 @ E_3 @ ( binOp_list_char @ E_1_1 @ Bop @ E_2_1 ) @ T_3 )
=> ( ( ( T_3 = boolean )
=> ( ( ?? @ ty @ ( wTrt @ P @ H_1 @ E_3 @ E_1_1 ) )
=> ( ( ?? @ ty @ ( wTrt @ P @ H_1 @ E_3 @ E_2_1 ) )
=> ( Bop != c_Expr_Obop_OEq ) ) ) )
=> ~ ( ( T_3 = integer )
=> ( ( wTrt @ P @ H_1 @ E_3 @ E_1_1 @ integer )
=> ( ( wTrt @ P @ H_1 @ E_3 @ E_2_1 @ integer )
=> ( Bop != add ) ) ) ) ) ) ).
thf(fact_1151_WTrtBinOpAdd,axiom,
! [E_2_1: exp_list_char,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1_1: exp_list_char] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1_1 @ integer )
=> ( ( wTrt @ P @ H_1 @ E_3 @ E_2_1 @ integer )
=> ( wTrt @ P @ H_1 @ E_3 @ ( binOp_list_char @ E_1_1 @ add @ E_2_1 ) @ integer ) ) ) ).
thf(fact_1152_ty_Osimps_I10_J,axiom,
boolean != integer ).
thf(fact_1153_ty_Osimps_I11_J,axiom,
integer != boolean ).
thf(fact_1154_ty_Osimps_I18_J,axiom,
! [List_1: list_char] :
( integer
!= ( class @ List_1 ) ) ).
thf(fact_1155_ty_Osimps_I19_J,axiom,
! [List_1: list_char] :
( ( class @ List_1 )
!= integer ) ).
thf(fact_1156_ty_Osimps_I17_J,axiom,
nt != integer ).
thf(fact_1157_ty_Osimps_I16_J,axiom,
integer != nt ).
thf(fact_1158_ty_Osimps_I4_J,axiom,
void != integer ).
thf(fact_1159_ty_Osimps_I5_J,axiom,
integer != void ).
thf(fact_1160_WTrt_H__WTrts_H_Ointros_I6_J,axiom,
! [E_2_1: exp_list_char,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1_1: exp_list_char] :
( ( wTrt_1 @ P @ H_1 @ E_3 @ E_1_1 @ integer )
=> ( ( wTrt_1 @ P @ H_1 @ E_3 @ E_2_1 @ integer )
=> ( wTrt_1 @ P @ H_1 @ E_3 @ ( binOp_list_char @ E_1_1 @ add @ E_2_1 ) @ integer ) ) ) ).
thf(fact_1161_not__refTE,axiom,
! [T_3: ty] :
( ~ ( is_refT @ T_3 )
=> ( ( T_3 = void )
| ( T_3 = boolean )
| ( T_3 = integer ) ) ) ).
thf(fact_1162_ty_Oexhaust,axiom,
! [Y: ty] :
( ( Y != void )
=> ( ( Y != boolean )
=> ( ( Y != integer )
=> ( ( Y != nt )
=> ~ ! [List: list_char] :
( Y
!= ( class @ List ) ) ) ) ) ) ).
thf(fact_1163_red__reds_ORedCall,axiom,
! [Vs_1: list_val,P: list_P1999446415t_char,M: list_char,Ts: list_ty,T_3: ty,Pns: list_list_char,Body: exp_list_char,D: list_char,S_1: produc2090907612on_val,A: nat,C: list_char,Fs_1: produc1278157519t_char > option_val] :
( ( ( hp @ S_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ Fs_1 ) ) )
=> ( ( method1809630380t_char @ P @ C @ M @ Ts @ T_3 @ ( produc1147572817t_char @ Pns @ Body ) @ D )
=> ( ( ( size_size_list_val @ Vs_1 )
= ( size_s2113983095t_char @ Pns ) )
=> ( ( ( size_size_list_ty @ Ts )
= ( size_s2113983095t_char @ Pns ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ ( addr @ A ) ) @ M @ ( map_va1934808527t_char @ val_list_char @ Vs_1 ) ) @ S_1 ) @ ( produc235638504on_val @ ( blocks @ ( produc921874948t_char @ ( cons_list_char @ this @ Pns ) @ ( produc1909267824t_char @ ( cons_ty @ ( class @ D ) @ Ts ) @ ( produc1916172923t_char @ ( cons_val @ ( addr @ A ) @ Vs_1 ) @ Body ) ) ) ) @ S_1 ) ) @ ( red @ P ) ) ) ) ) ) ).
thf(fact_1164_blocksFinal,axiom,
! [H_1: nat > option1728594148on_val,L_1: list_char > option_val,P: list_P1999446415t_char,E_1: exp_list_char,Vs_1: list_val,Vs: list_list_char,Ts: list_ty] :
( ( ( size_s2113983095t_char @ Vs )
= ( size_size_list_ty @ Ts ) )
=> ( ( ( size_size_list_val @ Vs_1 )
= ( size_size_list_ty @ Ts ) )
=> ( ( final_list_char @ E_1 )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( blocks @ ( produc921874948t_char @ Vs @ ( produc1909267824t_char @ Ts @ ( produc1916172923t_char @ Vs_1 @ E_1 ) ) ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) @ ( produc235638504on_val @ E_1 @ ( produc755559506on_val @ H_1 @ L_1 ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ) ).
thf(fact_1165_redp__redsp_ORedCall,axiom,
! [Vs_1: list_val,P: list_P1999446415t_char,M: list_char,Ts: list_ty,T_3: ty,Pns: list_list_char,Body: exp_list_char,D: list_char,S_1: produc2090907612on_val,A: nat,C: list_char,Fs_1: produc1278157519t_char > option_val] :
( ( ( hp @ S_1 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ Fs_1 ) ) )
=> ( ( method1809630380t_char @ P @ C @ M @ Ts @ T_3 @ ( produc1147572817t_char @ Pns @ Body ) @ D )
=> ( ( ( size_size_list_val @ Vs_1 )
= ( size_s2113983095t_char @ Pns ) )
=> ( ( ( size_size_list_ty @ Ts )
= ( size_s2113983095t_char @ Pns ) )
=> ( redp @ P @ ( call_list_char @ ( val_list_char @ ( addr @ A ) ) @ M @ ( map_va1934808527t_char @ val_list_char @ Vs_1 ) ) @ S_1 @ ( blocks @ ( produc921874948t_char @ ( cons_list_char @ this @ Pns ) @ ( produc1909267824t_char @ ( cons_ty @ ( class @ D ) @ Ts ) @ ( produc1916172923t_char @ ( cons_val @ ( addr @ A ) @ Vs_1 ) @ Body ) ) ) ) @ S_1 ) ) ) ) ) ).
thf(fact_1166_WTrts__same__length,axiom,
! [P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,Es_1: list_exp_list_char,Ts: list_ty] :
( ( wTrts @ P @ H_1 @ E_3 @ Es_1 @ Ts )
=> ( ( size_s1143674878t_char @ Es_1 )
= ( size_size_list_ty @ Ts ) ) ) ).
thf(fact_1167_blocksEval,axiom,
! [P: list_P1999446415t_char,E_1: exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,E: exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val,Vs_1: list_val,Ps: list_list_char,Ts: list_ty] :
( ( ( size_s2113983095t_char @ Ps )
= ( size_size_list_ty @ Ts ) )
=> ( ( ( size_s2113983095t_char @ Ps )
= ( size_size_list_val @ Vs_1 ) )
=> ( ( eval @ P @ ( blocks @ ( produc921874948t_char @ Ps @ ( produc1909267824t_char @ Ts @ ( produc1916172923t_char @ Vs_1 @ E_1 ) ) ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) @ E @ ( produc755559506on_val @ H @ L ) )
=> ? [L_4: list_char > option_val] : ( eval @ P @ E_1 @ ( produc755559506on_val @ H_1 @ ( map_up1085636310ar_val @ L_1 @ Ps @ Vs_1 ) ) @ E @ ( produc755559506on_val @ H @ L_4 ) ) ) ) ) ).
thf(fact_1168_WTrt_H__WTrts_H_Ointros_I12_J,axiom,
! [Es_1: list_exp_list_char,Ts_1: list_ty,M: list_char,Ts: list_ty,T_3: ty,Pns: list_list_char,Body: exp_list_char,D: list_char,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,C: list_char] :
( ( wTrt_1 @ P @ H_1 @ E_3 @ E_1 @ ( class @ C ) )
=> ( ( method1809630380t_char @ P @ C @ M @ Ts @ T_3 @ ( produc1147572817t_char @ Pns @ Body ) @ D )
=> ( ( wTrts_1 @ P @ H_1 @ E_3 @ Es_1 @ Ts_1 )
=> ( ( list_all2_ty_ty @ ( widen_2090681816t_char @ P ) @ Ts_1 @ Ts )
=> ( wTrt_1 @ P @ H_1 @ E_3 @ ( call_list_char @ E_1 @ M @ Es_1 ) @ T_3 ) ) ) ) ) ).
thf(fact_1169_WTrtCall,axiom,
! [Es_1: list_exp_list_char,Ts_1: list_ty,M: list_char,Ts: list_ty,T_3: ty,Pns: list_list_char,Body: exp_list_char,D: list_char,P: list_P1999446415t_char,H_1: nat > option1728594148on_val,E_3: list_char > option_ty,E_1: exp_list_char,C: list_char] :
( ( wTrt @ P @ H_1 @ E_3 @ E_1 @ ( class @ C ) )
=> ( ( method1809630380t_char @ P @ C @ M @ Ts @ T_3 @ ( produc1147572817t_char @ Pns @ Body ) @ D )
=> ( ( wTrts @ P @ H_1 @ E_3 @ Es_1 @ Ts_1 )
=> ( ( list_all2_ty_ty @ ( widen_2090681816t_char @ P ) @ Ts_1 @ Ts )
=> ( wTrt @ P @ H_1 @ E_3 @ ( call_list_char @ E_1 @ M @ Es_1 ) @ T_3 ) ) ) ) ) ).
thf(fact_1170_Call,axiom,
! [E: exp_list_char,H_3: nat > option1728594148on_val,L_3: list_char > option_val,L_2_2: list_char > option_val,M: list_char,Ts: list_ty,T_3: ty,Pns: list_list_char,Body: exp_list_char,D: list_char,C: list_char,Fs_1: produc1278157519t_char > option_val,Ps: list_exp_list_char,Vs_1: list_val,H_2: nat > option1728594148on_val,L_2_1: list_char > option_val,P: list_P1999446415t_char,E_1: exp_list_char,S_0: produc2090907612on_val,A: nat,S_1_1: produc2090907612on_val] :
( ( eval @ P @ E_1 @ S_0 @ ( val_list_char @ ( addr @ A ) ) @ S_1_1 )
=> ( ( evals @ P @ Ps @ S_1_1 @ ( map_va1934808527t_char @ val_list_char @ Vs_1 ) @ ( produc755559506on_val @ H_2 @ L_2_1 ) )
=> ( ( ( H_2 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ Fs_1 ) ) )
=> ( ( method1809630380t_char @ P @ C @ M @ Ts @ T_3 @ ( produc1147572817t_char @ Pns @ Body ) @ D )
=> ( ( ( size_size_list_val @ Vs_1 )
= ( size_s2113983095t_char @ Pns ) )
=> ( ( L_2_2
= ( map_up1085636310ar_val
@ ( fun_up1149430426on_val
@ ^ [X: list_char] : none_val
@ this
@ ( some_val @ ( addr @ A ) ) )
@ Pns
@ Vs_1 ) )
=> ( ( eval @ P @ Body @ ( produc755559506on_val @ H_2 @ L_2_2 ) @ E @ ( produc755559506on_val @ H_3 @ L_3 ) )
=> ( eval @ P @ ( call_list_char @ E_1 @ M @ Ps ) @ S_0 @ E @ ( produc755559506on_val @ H_3 @ L_2_1 ) ) ) ) ) ) ) ) ) ).
thf(fact_1171_typeof__lit__typeof,axiom,
! [H_1: nat > option1728594148on_val,V_1: val,T_3: ty] :
( ( ( typeof_h
@ ^ [X: nat] : none_P1260844216on_val
@ V_1 )
= ( some_ty @ T_3 ) )
=> ( ( typeof_h @ H_1 @ V_1 )
= ( some_ty @ T_3 ) ) ) ).
thf(fact_1172_redp__red__eq,axiom,
! [P: list_P1999446415t_char,X: exp_list_char,Xa: produc2090907612on_val,Xb: exp_list_char,Xc: produc2090907612on_val] :
( ( redp @ P @ X @ Xa @ Xb @ Xc )
<=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ X @ Xa ) @ ( produc235638504on_val @ Xb @ Xc ) ) @ ( red @ P ) ) ) ).
thf(fact_1173_redsp__reds__eq,axiom,
! [P: list_P1999446415t_char,X: list_exp_list_char,Xa: produc2090907612on_val,Xb: list_exp_list_char,Xc: produc2090907612on_val] :
( ( redsp @ P @ X @ Xa @ Xb @ Xc )
<=> ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ X @ Xa ) @ ( produc1302104557on_val @ Xb @ Xc ) ) @ ( reds @ P ) ) ) ).
thf(fact_1174_CallRedsFinal,axiom,
! [Ef: exp_list_char,H_3: nat > option1728594148on_val,L_3: list_char > option_val,L_2_2: list_char > option_val,M: list_char,Ts: list_ty,T_3: ty,Pns: list_list_char,Body: exp_list_char,D: list_char,C: list_char,Fs_1: produc1278157519t_char > option_val,Es_1: list_exp_list_char,Vs_1: list_val,H_2: nat > option1728594148on_val,L_2_1: list_char > option_val,E_1: exp_list_char,S_0: produc2090907612on_val,A: nat,S_1_1: produc2090907612on_val,P: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ P )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_0 ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ A ) ) @ S_1_1 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ Es_1 @ S_1_1 ) @ ( produc1302104557on_val @ ( map_va1934808527t_char @ val_list_char @ Vs_1 ) @ ( produc755559506on_val @ H_2 @ L_2_1 ) ) ) @ ( transi808828192on_val @ ( reds @ P ) ) )
=> ( ( ( H_2 @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ Fs_1 ) ) )
=> ( ( method1809630380t_char @ P @ C @ M @ Ts @ T_3 @ ( produc1147572817t_char @ Pns @ Body ) @ D )
=> ( ( ( size_size_list_val @ Vs_1 )
= ( size_s2113983095t_char @ Pns ) )
=> ( ( L_2_2
= ( map_up1085636310ar_val
@ ( fun_up1149430426on_val
@ ^ [X: list_char] : none_val
@ this
@ ( some_val @ ( addr @ A ) ) )
@ Pns
@ Vs_1 ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ Body @ ( produc755559506on_val @ H_2 @ L_2_2 ) ) @ ( produc235638504on_val @ Ef @ ( produc755559506on_val @ H_3 @ L_3 ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( final_list_char @ Ef )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ E_1 @ M @ Es_1 ) @ S_0 ) @ ( produc235638504on_val @ Ef @ ( produc755559506on_val @ H_3 @ L_2_1 ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(fact_1175_extend__1__eval,axiom,
! [E: exp_list_char,S: produc2090907612on_val,E_1: exp_list_char,S_1: produc2090907612on_val,E_2: exp_list_char,S_2: produc2090907612on_val,P: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ P )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E_2 @ S_2 ) ) @ ( red @ P ) )
=> ( ( eval @ P @ E_2 @ S_2 @ E @ S )
=> ( eval @ P @ E_1 @ S_1 @ E @ S ) ) ) ) ).
thf(fact_1176_extend__1__evals,axiom,
! [Es: list_exp_list_char,T_2: produc2090907612on_val,Es_1: list_exp_list_char,T_1: produc2090907612on_val,Es_2: list_exp_list_char,T: produc2090907612on_val,P: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ P )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ Es_1 @ T_1 ) @ ( produc1302104557on_val @ Es_2 @ T ) ) @ ( reds @ P ) )
=> ( ( evals @ P @ Es_2 @ T @ Es @ T_2 )
=> ( evals @ P @ Es_1 @ T_1 @ Es @ T_2 ) ) ) ) ).
thf(fact_1177_big__by__small,axiom,
! [E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ P )
=> ( ( eval @ P @ E_1 @ S_1 @ E @ S )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ).
thf(fact_1178_extend__eval,axiom,
! [E: exp_list_char,S: produc2090907612on_val,E_1: exp_list_char,S_1: produc2090907612on_val,E_2: exp_list_char,S_2: produc2090907612on_val,P: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ P )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E_2 @ S_2 ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( eval @ P @ E_2 @ S_2 @ E @ S )
=> ( eval @ P @ E_1 @ S_1 @ E @ S ) ) ) ) ).
thf(fact_1179_bigs__by__smalls,axiom,
! [Es_1: list_exp_list_char,S_1: produc2090907612on_val,Es: list_exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ P )
=> ( ( evals @ P @ Es_1 @ S_1 @ Es @ S )
=> ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ Es_1 @ S_1 ) @ ( produc1302104557on_val @ Es @ S ) ) @ ( transi808828192on_val @ ( reds @ P ) ) ) ) ) ).
thf(fact_1180_extend__evals,axiom,
! [Es: list_exp_list_char,S: produc2090907612on_val,Es_1: list_exp_list_char,S_1: produc2090907612on_val,Es_2: list_exp_list_char,S_2: produc2090907612on_val,P: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ P )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ Es_1 @ S_1 ) @ ( produc1302104557on_val @ Es_2 @ S_2 ) ) @ ( transi808828192on_val @ ( reds @ P ) ) )
=> ( ( evals @ P @ Es_2 @ S_2 @ Es @ S )
=> ( evals @ P @ Es_1 @ S_1 @ Es @ S ) ) ) ) ).
thf(fact_1181_small__by__big,axiom,
! [E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ P )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( final_list_char @ E )
=> ( eval @ P @ E_1 @ S_1 @ E @ S ) ) ) ) ).
thf(fact_1182_big__iff__small,axiom,
! [E_1: exp_list_char,S_1: produc2090907612on_val,E: exp_list_char,S: produc2090907612on_val,P: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ P )
=> ( ( eval @ P @ E_1 @ S_1 @ E @ S )
<=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ S_1 ) @ ( produc235638504on_val @ E @ S ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
& ( final_list_char @ E ) ) ) ) ).
thf(fact_1183_typeof__h_Osimps_I5_J,axiom,
! [H_1: nat > option1728594148on_val,A: nat] :
( ( typeof_h @ H_1 @ ( addr @ A ) )
= ( option857204770on_val @ none_ty
@ ( produc863160906ion_ty
@ ^ [C_1: list_char,Fs: produc1278157519t_char > option_val] : ( some_ty @ ( class @ C_1 ) ) )
@ ( H_1 @ A ) ) ) ).
thf(fact_1184_blocksRedsFinal,axiom,
! [L_2: list_char > option_val,E_1: exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,E: exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val,P: list_P1999446415t_char,Vs_1: list_val,Vs: list_list_char,Ts: list_ty] :
( ( ( size_s2113983095t_char @ Vs )
= ( size_size_list_ty @ Ts ) )
=> ( ( ( size_size_list_val @ Vs_1 )
= ( size_size_list_ty @ Ts ) )
=> ( ( distinct_list_char @ Vs )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ ( produc755559506on_val @ H_1 @ ( map_up1085636310ar_val @ L_1 @ Vs @ Vs_1 ) ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ H @ L ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ( final_list_char @ E )
=> ( ( L_2
= ( overri2012515291on_val @ L @ L_1 @ ( set_list_char @ Vs ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( blocks @ ( produc921874948t_char @ Vs @ ( produc1909267824t_char @ Ts @ ( produc1916172923t_char @ Vs_1 @ E_1 ) ) ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ H @ L_2 ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ) ) ) ) ).
thf(fact_1185_blocksReds,axiom,
! [E_1: exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,E: exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val,P: list_P1999446415t_char,Vs_1: list_val,Vs: list_list_char,Ts: list_ty] :
( ( ( size_s2113983095t_char @ Vs )
= ( size_size_list_ty @ Ts ) )
=> ( ( ( size_size_list_val @ Vs_1 )
= ( size_size_list_ty @ Ts ) )
=> ( ( distinct_list_char @ Vs )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ ( produc755559506on_val @ H_1 @ ( map_up1085636310ar_val @ L_1 @ Vs @ Vs_1 ) ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ H @ L ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( blocks @ ( produc921874948t_char @ Vs @ ( produc1909267824t_char @ Ts @ ( produc1916172923t_char @ Vs_1 @ E_1 ) ) ) ) @ ( produc755559506on_val @ H_1 @ L_1 ) ) @ ( produc235638504on_val @ ( blocks @ ( produc921874948t_char @ Vs @ ( produc1909267824t_char @ Ts @ ( produc1916172923t_char @ ( map_list_char_val @ ( comp_o1129292306t_char @ the_val @ L ) @ Vs ) @ E ) ) ) ) @ ( produc755559506on_val @ H @ ( overri2012515291on_val @ L @ L_1 @ ( set_list_char @ Vs ) ) ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) ) ) ) ) ) ).
thf(fact_1186_Red__fv,axiom,
! [E_1: exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,E: exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val,P: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ P )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ ( produc755559506on_val @ H_1 @ L_1 ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ H @ L ) ) ) @ ( red @ P ) )
=> ( ord_le1777678169char_o @ ( fv @ E ) @ ( fv @ E_1 ) ) ) ) ).
thf(fact_1187_fv__fvs_Osimps_I7_J,axiom,
! [E_1: exp_list_char,F: list_char,D: list_char] :
( ( fv @ ( fAcc_list_char @ E_1 @ F @ D ) )
= ( fv @ E_1 ) ) ).
thf(fact_1188_fv__fvs_Osimps_I14_J,axiom,
! [E_1: exp_list_char] :
( ( fv @ ( throw_list_char @ E_1 ) )
= ( fv @ E_1 ) ) ).
thf(fact_1189_fv__fvs_Osimps_I2_J,axiom,
! [C: list_char,E_1: exp_list_char] :
( ( fv @ ( cast_list_char @ C @ E_1 ) )
= ( fv @ E_1 ) ) ).
thf(fact_1190_eval__notfree__unchanged,axiom,
! [V: list_char,P: list_P1999446415t_char,E_1: exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,E: exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val] :
( ( eval @ P @ E_1 @ ( produc755559506on_val @ H_1 @ L_1 ) @ E @ ( produc755559506on_val @ H @ L ) )
=> ( ~ ( member_list_char @ V @ ( fv @ E_1 ) )
=> ( ( L @ V )
= ( L_1 @ V ) ) ) ) ).
thf(fact_1191_eval__restrict__lcl,axiom,
! [W: list_char > $o,E_1: exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,E: exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val,P: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ P )
=> ( ( eval @ P @ E_1 @ ( produc755559506on_val @ H_1 @ L_1 ) @ E @ ( produc755559506on_val @ H @ L ) )
=> ( ( ord_le1777678169char_o @ ( fv @ E_1 ) @ W )
=> ( eval @ P @ E_1 @ ( produc755559506on_val @ H_1 @ ( restri761823004ar_val @ L_1 @ W ) ) @ E @ ( produc755559506on_val @ H @ ( restri761823004ar_val @ L @ W ) ) ) ) ) ) ).
thf(fact_1192_cname__of__xcp,axiom,
! [C: list_char,H_1: nat > option1728594148on_val] :
( ( preallocated @ H_1 )
=> ( ( member_list_char @ C @ sys_xcpts )
=> ( ( produc63700364on_val @ ( the_Pr1885945130on_val @ ( H_1 @ ( addr_of_sys_xcpt @ C ) ) ) )
= C ) ) ) ).
thf(fact_1193_obj__ty__def,axiom,
! [Obj: produc2088785539on_val] :
( ( obj_ty @ Obj )
= ( class @ ( produc63700364on_val @ Obj ) ) ) ).
thf(fact_1194_hp__def,axiom,
hp = produc1174407397on_val ).
thf(fact_1195_eval__lcl__incr,axiom,
! [P: list_P1999446415t_char,E_1: exp_list_char,H_0: nat > option1728594148on_val,L_0: list_char > option_val,E: exp_list_char,H_1_1: nat > option1728594148on_val,L_1_1: list_char > option_val] :
( ( eval @ P @ E_1 @ ( produc755559506on_val @ H_0 @ L_0 ) @ E @ ( produc755559506on_val @ H_1_1 @ L_1_1 ) )
=> ( ord_le1777678169char_o @ ( dom_list_char_val @ L_0 ) @ ( dom_list_char_val @ L_1_1 ) ) ) ).
thf(fact_1196_evals__lcl__incr,axiom,
! [P: list_P1999446415t_char,Es_1: list_exp_list_char,H_0: nat > option1728594148on_val,L_0: list_char > option_val,Es: list_exp_list_char,H_1_1: nat > option1728594148on_val,L_1_1: list_char > option_val] :
( ( evals @ P @ Es_1 @ ( produc755559506on_val @ H_0 @ L_0 ) @ Es @ ( produc755559506on_val @ H_1_1 @ L_1_1 ) )
=> ( ord_le1777678169char_o @ ( dom_list_char_val @ L_0 ) @ ( dom_list_char_val @ L_1_1 ) ) ) ).
thf(fact_1197_preallocated__dom,axiom,
! [C: list_char,H_1: nat > option1728594148on_val] :
( ( preallocated @ H_1 )
=> ( ( member_list_char @ C @ sys_xcpts )
=> ( member_nat @ ( addr_of_sys_xcpt @ C ) @ ( dom_na2045926843on_val @ H_1 ) ) ) ) ).
thf(fact_1198_red__lcl__incr,axiom,
! [E_1: exp_list_char,H_0: nat > option1728594148on_val,L_0: list_char > option_val,E: exp_list_char,H_1_1: nat > option1728594148on_val,L_1_1: list_char > option_val,P: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ ( produc755559506on_val @ H_0 @ L_0 ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ H_1_1 @ L_1_1 ) ) ) @ ( red @ P ) )
=> ( ord_le1777678169char_o @ ( dom_list_char_val @ L_0 ) @ ( dom_list_char_val @ L_1_1 ) ) ) ).
thf(fact_1199_Reds__dom__lcl,axiom,
! [E_1: exp_list_char,H_1: nat > option1728594148on_val,L_1: list_char > option_val,E: exp_list_char,H: nat > option1728594148on_val,L: list_char > option_val,P: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ P )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E_1 @ ( produc755559506on_val @ H_1 @ L_1 ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ H @ L ) ) ) @ ( transi2118771717on_val @ ( red @ P ) ) )
=> ( ord_le1777678169char_o @ ( dom_list_char_val @ L ) @ ( semila2134664963char_o @ ( dom_list_char_val @ L_1 ) @ ( fv @ E_1 ) ) ) ) ) ).
%----Conjectures (4)
thf(conj_0,hypothesis,
member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ e @ ( produc755559506on_val @ h_1 @ l_1 ) ) @ ( produc235638504on_val @ e_2 @ ( produc755559506on_val @ h @ l ) ) ) @ ( red @ p ) ).
thf(conj_1,hypothesis,
wTrt @ p @ h_1 @ e_1 @ e @ t ).
thf(conj_2,hypothesis,
hconf_97414254t_char @ p @ h_1 ).
thf(conj_3,conjecture,
hconf_97414254t_char @ p @ h ).
%------------------------------------------------------------------------------