% TIMEFORMAT='%3R'; { time (exec 2>&1; /home/martin/bin/satallax -E /home/martin/.isabelle/contrib/e-2.5-1/x86_64-linux/eprover -p tstp -t 5 /home/martin/judgement-day/tptp-thf/tptp/TypeSafe/prob_236__5336744_1 ) ; }
% This file was generated by Isabelle (most likely Sledgehammer)
% 2020-12-16 14:20:11.180

% Could-be-implicit typings (21)
thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_Mt__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_Mt__Product____Type__Oprod_It__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_Mt__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_J_J, type,
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thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J, type,
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thf(ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J, type,
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    produc1259892823t_char : $tType).
thf(ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J, type,
    option2118145160on_val : $tType).
thf(ty_n_t__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J, type,
    exp_list_char : $tType).
thf(ty_n_t__Option__Ooption_It__Value__Oval_J, type,
    option_val : $tType).
thf(ty_n_t__Option__Ooption_It__Type__Oty_J, type,
    option_ty : $tType).
thf(ty_n_t__Option__Ooption_It__Nat__Onat_J, type,
    option_nat : $tType).
thf(ty_n_t__List__Olist_It__String__Ochar_J, type,
    list_char : $tType).
thf(ty_n_t__Value__Oval, type,
    val : $tType).
thf(ty_n_t__Type__Oty, type,
    ty : $tType).
thf(ty_n_t__Nat__Onat, type,
    nat : $tType).

% Explicit typings (51)
thf(sy_c_BigStep_Oeval, type,
    eval : list_P1234162913t_char > exp_list_char > produc515445032on_val > exp_list_char > produc515445032on_val > $o).
thf(sy_c_BigStep_Ofinal_001t__List__Olist_It__String__Ochar_J, type,
    final_list_char : exp_list_char > $o).
thf(sy_c_Conform_Ohconf_001t__Product____Type__Oprod_It__List__Olist_It__List__Olist_It__String__Ochar_J_J_Mt__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_J, type,
    hconf_1244167010t_char : list_P1234162913t_char > (nat > option2118145160on_val) > $o).
thf(sy_c_Conform_Olconf_001t__Product____Type__Oprod_It__List__Olist_It__List__Olist_It__String__Ochar_J_J_Mt__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_J, type,
    lconf_485928294t_char : list_P1234162913t_char > (nat > option2118145160on_val) > (list_char > option_val) > (list_char > option_ty) > $o).
thf(sy_c_Exceptions_ONullPointer, type,
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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_Expr_Oexp_OBlock_001t__List__Olist_It__String__Ochar_J, type,
    block_list_char : list_char > ty > exp_list_char > exp_list_char).
thf(sy_c_Expr_Oexp_OCast_001t__List__Olist_It__String__Ochar_J, type,
    cast_list_char : list_char > exp_list_char > exp_list_char).
thf(sy_c_Expr_Oexp_OFAcc_001t__List__Olist_It__String__Ochar_J, type,
    fAcc_list_char : exp_list_char > list_char > list_char > exp_list_char).
thf(sy_c_Expr_Oexp_OFAss_001t__List__Olist_It__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_OVal_001t__List__Olist_It__String__Ochar_J, type,
    val_list_char : val > exp_list_char).
thf(sy_c_Expr_Oexp_Onew_001t__List__Olist_It__String__Ochar_J, type,
    new_list_char : list_char > exp_list_char).
thf(sy_c_Expr_Oexp_Othrow_001t__List__Olist_It__String__Ochar_J, type,
    throw_list_char : exp_list_char > exp_list_char).
thf(sy_c_Fun_Ofun__upd_001t__List__Olist_It__String__Ochar_J_001t__Option__Ooption_It__Value__Oval_J, type,
    fun_up1252458416on_val : (list_char > option_val) > list_char > option_val > list_char > option_val).
thf(sy_c_JWellForm_Owf__J__mdecl, type,
    wf_J_mdecl : list_P1234162913t_char > list_char > produc1259892823t_char > $o).
thf(sy_c_Objects_Onew__Addr, type,
    new_Addr : (nat > option2118145160on_val) > option_nat).
thf(sy_c_Option_Ooption_ONone_001t__Nat__Onat, type,
    none_nat : option_nat).
thf(sy_c_Option_Ooption_ONone_001t__Value__Oval, type,
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thf(sy_c_Product__Type_OPair_001_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_001_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J, type,
    produc52622304on_val : (nat > option2118145160on_val) > (list_char > option_val) > produc515445032on_val).
thf(sy_c_Product__Type_OPair_001t__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_001t__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J, type,
    produc2023458740on_val : exp_list_char > produc515445032on_val > produc1097884484on_val).
thf(sy_c_Product__Type_OPair_001t__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_001t__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J, type,
    produc2106877847on_val : produc515445032on_val > produc515445032on_val > produc744932519on_val).
thf(sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_001t__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J, type,
    produc1069526295on_val : produc1097884484on_val > produc1097884484on_val > produc1172664615on_val).
thf(sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_Mt__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_Mt__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J, type,
    produc564964183on_val : produc1172664615on_val > produc1172664615on_val > produc1161703655on_val).
thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_Mt__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J, type,
    collec2055896722on_val : (produc1172664615on_val > $o) > set_Pr1189492743on_val).
thf(sy_c_SmallStep_Ored, type,
    red : list_P1234162913t_char > set_Pr1189492743on_val).
thf(sy_c_SmallStep_Oredp, type,
    redp : list_P1234162913t_char > exp_list_char > produc515445032on_val > exp_list_char > produc515445032on_val > $o).
thf(sy_c_State_Ohp, type,
    hp : produc515445032on_val > nat > option2118145160on_val).
thf(sy_c_Transitive__Closure_Ortrancl_001t__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J, type,
    transi432893227on_val : set_Pr148564103on_val > set_Pr148564103on_val).
thf(sy_c_Transitive__Closure_Ortrancl_001t__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J, type,
    transi111096263on_val : set_Pr1189492743on_val > set_Pr1189492743on_val).
thf(sy_c_Transitive__Closure_Ortrancl_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_Mt__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J, type,
    transi100378922on_val : set_Pr1368603847on_val > set_Pr1368603847on_val).
thf(sy_c_TypeRel_Owiden_001t__Product____Type__Oprod_It__List__Olist_It__List__Olist_It__String__Ochar_J_J_Mt__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_J, type,
    widen_917054840t_char : list_P1234162913t_char > ty > ty > $o).
thf(sy_c_TypeSafe__Mirabelle__osrwgqrerx_Osconf, type,
    typeSa1777264139_sconf : list_P1234162913t_char > (list_char > option_ty) > produc515445032on_val > $o).
thf(sy_c_Type_Ois__refT, type,
    is_refT : ty > $o).
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_ONull, type,
    null : val).
thf(sy_c_WWellForm_Owwf__J__mdecl, type,
    wwf_J_mdecl : list_P1234162913t_char > list_char > produc1259892823t_char > $o).
thf(sy_c_WellForm_Owf__prog_001t__Product____Type__Oprod_It__List__Olist_It__List__Olist_It__String__Ochar_J_J_Mt__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_J, type,
    wf_pro1229751607t_char : (list_P1234162913t_char > list_char > produc1259892823t_char > $o) > list_P1234162913t_char > $o).
thf(sy_c_WellTypeRT_OWTrt, type,
    wTrt : list_P1234162913t_char > (nat > option2118145160on_val) > (list_char > option_ty) > exp_list_char > ty > $o).
thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J, type,
    member652041809on_val : produc515445032on_val > set_Pr723149704on_val > $o).
thf(sy_c_member_001t__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J, type,
    member1888679917on_val : produc1097884484on_val > set_Pr556513572on_val > $o).
thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J, type,
    member2027247312on_val : produc744932519on_val > set_Pr148564103on_val > $o).
thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_Mt__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J, type,
    member354538064on_val : produc1172664615on_val > set_Pr1189492743on_val > $o).
thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_Mt__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_Mt__Product____Type__Oprod_It__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_Mt__Product____Type__Oprod_It__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J_Mt__Product____Type__Oprod_I_062_It__Nat__Onat_Mt__Option__Ooption_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_M_062_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__List__Olist_It__String__Ochar_J_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Option__Ooption_It__Value__Oval_J_J_J_J_J_J, type,
    member208988944on_val : produc1161703655on_val > set_Pr1368603847on_val > $o).
thf(sy_v_C______, type,
    c : list_char).
thf(sy_v_E____, type,
    e : list_char > option_ty).
thf(sy_v_P, type,
    p : list_P1234162913t_char).
thf(sy_v_T____, type,
    t : ty).
thf(sy_v_ha______, type,
    ha : nat > option2118145160on_val).
thf(sy_v_la______, type,
    la : list_char > option_val).

% Relevant facts (164)
thf(fact_0_RedNewFail_Ohyps, axiom,
    (((new_Addr @ ha) = none_nat))). % RedNewFail.hyps
thf(fact_1_RedNewFail_Oprems_I1_J, axiom,
    ((typeSa1777264139_sconf @ p @ e @ (produc52622304on_val @ ha @ la)))). % RedNewFail.prems(1)
thf(fact_2_RedNewFail_Oprems_I2_J, axiom,
    ((wTrt @ p @ ha @ e @ (new_list_char @ c) @ t))). % RedNewFail.prems(2)
thf(fact_3_local_Owf, axiom,
    ((wf_pro1229751607t_char @ wf_J_mdecl @ p))). % local.wf
thf(fact_4_val_Oinject_I3_J, axiom,
    ((![X5 : nat, Y5 : nat]: (((addr @ X5) = (addr @ Y5)) = (X5 = Y5))))). % val.inject(3)
thf(fact_5_exp_Oinject_I14_J, axiom,
    ((![X14 : exp_list_char, Y14 : exp_list_char]: (((throw_list_char @ X14) = (throw_list_char @ Y14)) = (X14 = Y14))))). % exp.inject(14)
thf(fact_6_exp_Oinject_I3_J, axiom,
    ((![X3 : val, Y3 : val]: (((val_list_char @ X3) = (val_list_char @ Y3)) = (X3 = Y3))))). % exp.inject(3)
thf(fact_7_exp_Odistinct_I75_J, axiom,
    ((![X3 : val, X14 : exp_list_char]: (~ (((val_list_char @ X3) = (throw_list_char @ X14))))))). % exp.distinct(75)
thf(fact_8_finalE, axiom,
    ((![E : exp_list_char]: ((final_list_char @ E) => ((![V : val]: (~ ((E = (val_list_char @ V))))) => (~ ((![A : nat]: (~ ((E = (throw_list_char @ (val_list_char @ (addr @ A)))))))))))))). % finalE
thf(fact_9_final__def, axiom,
    ((final_list_char = (^[E2 : exp_list_char]: (((?[V2 : val]: (E2 = (val_list_char @ V2)))) | ((?[A2 : nat]: (E2 = (throw_list_char @ (val_list_char @ (addr @ A2))))))))))). % final_def
thf(fact_10_widen__trans, axiom,
    ((![P : list_P1234162913t_char, S : ty, U : ty, T : ty]: ((widen_917054840t_char @ P @ S @ U) => ((widen_917054840t_char @ P @ U @ T) => (widen_917054840t_char @ P @ S @ T)))))). % widen_trans
thf(fact_11_widen__refl, axiom,
    ((![P : list_P1234162913t_char, T : ty]: (widen_917054840t_char @ P @ T @ T)))). % widen_refl
thf(fact_12_WTrt__elim__cases_I4_J, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E3 : list_char > option_ty, E : exp_list_char, T : ty]: ((wTrt @ P @ H @ E3 @ (throw_list_char @ E) @ T) => (~ ((![T_r : ty]: ((wTrt @ P @ H @ E3 @ E @ T_r) => (~ ((is_refT @ T_r))))))))))). % WTrt_elim_cases(4)
thf(fact_13_WTrtThrow, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E3 : list_char > option_ty, E : exp_list_char, T_r2 : ty, T : ty]: ((wTrt @ P @ H @ E3 @ E @ T_r2) => ((is_refT @ T_r2) => (wTrt @ P @ H @ E3 @ (throw_list_char @ E) @ T)))))). % WTrtThrow
thf(fact_14_redp__redsp_ORedNewFail, axiom,
    ((![H : nat > option2118145160on_val, P : list_P1234162913t_char, C : list_char, L : list_char > option_val]: (((new_Addr @ H) = none_nat) => (redp @ P @ (new_list_char @ C) @ (produc52622304on_val @ H @ L) @ (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ outOfMemory)))) @ (produc52622304on_val @ H @ L)))))). % redp_redsp.RedNewFail
thf(fact_15_exp_Oinject_I1_J, axiom,
    ((![X1 : list_char, Y1 : list_char]: (((new_list_char @ X1) = (new_list_char @ Y1)) = (X1 = Y1))))). % exp.inject(1)
thf(fact_16_redp__redsp_OThrowThrow, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, S2 : produc515445032on_val]: (redp @ P @ (throw_list_char @ (throw_list_char @ E)) @ S2 @ (throw_list_char @ E) @ S2)))). % redp_redsp.ThrowThrow
thf(fact_17_redp__redsp_OThrowRed, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val]: ((redp @ P @ E @ S2 @ E4 @ S3) => (redp @ P @ (throw_list_char @ E) @ S2 @ (throw_list_char @ E4) @ S3))))). % redp_redsp.ThrowRed
thf(fact_18_exp_Odistinct_I3_J, axiom,
    ((![X1 : list_char, X3 : val]: (~ (((new_list_char @ X1) = (val_list_char @ X3))))))). % exp.distinct(3)
thf(fact_19_exp_Odistinct_I25_J, axiom,
    ((![X1 : list_char, X14 : exp_list_char]: (~ (((new_list_char @ X1) = (throw_list_char @ X14))))))). % exp.distinct(25)
thf(fact_20_NewFail, axiom,
    ((![H : nat > option2118145160on_val, P : list_P1234162913t_char, C : list_char, L : list_char > option_val]: (((new_Addr @ H) = none_nat) => (eval @ P @ (new_list_char @ C) @ (produc52622304on_val @ H @ L) @ (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ outOfMemory)))) @ (produc52622304on_val @ H @ L)))))). % NewFail
thf(fact_21_prod_Oinject, axiom,
    ((![X1 : nat > option2118145160on_val, X2 : list_char > option_val, Y1 : nat > option2118145160on_val, Y2 : list_char > option_val]: (((produc52622304on_val @ X1 @ X2) = (produc52622304on_val @ Y1 @ Y2)) = (((X1 = Y1)) & ((X2 = Y2))))))). % prod.inject
thf(fact_22_prod_Oinject, axiom,
    ((![X1 : produc1097884484on_val, X2 : produc1097884484on_val, Y1 : produc1097884484on_val, Y2 : produc1097884484on_val]: (((produc1069526295on_val @ X1 @ X2) = (produc1069526295on_val @ Y1 @ Y2)) = (((X1 = Y1)) & ((X2 = Y2))))))). % prod.inject
thf(fact_23_prod_Oinject, axiom,
    ((![X1 : exp_list_char, X2 : produc515445032on_val, Y1 : exp_list_char, Y2 : produc515445032on_val]: (((produc2023458740on_val @ X1 @ X2) = (produc2023458740on_val @ Y1 @ Y2)) = (((X1 = Y1)) & ((X2 = Y2))))))). % prod.inject
thf(fact_24_old_Oprod_Oinject, axiom,
    ((![A3 : nat > option2118145160on_val, B : list_char > option_val, A4 : nat > option2118145160on_val, B2 : list_char > option_val]: (((produc52622304on_val @ A3 @ B) = (produc52622304on_val @ A4 @ B2)) = (((A3 = A4)) & ((B = B2))))))). % old.prod.inject
thf(fact_25_old_Oprod_Oinject, axiom,
    ((![A3 : produc1097884484on_val, B : produc1097884484on_val, A4 : produc1097884484on_val, B2 : produc1097884484on_val]: (((produc1069526295on_val @ A3 @ B) = (produc1069526295on_val @ A4 @ B2)) = (((A3 = A4)) & ((B = B2))))))). % old.prod.inject
thf(fact_26_old_Oprod_Oinject, axiom,
    ((![A3 : exp_list_char, B : produc515445032on_val, A4 : exp_list_char, B2 : produc515445032on_val]: (((produc2023458740on_val @ A3 @ B) = (produc2023458740on_val @ A4 @ B2)) = (((A3 = A4)) & ((B = B2))))))). % old.prod.inject
thf(fact_27_the__Addr_Osimps, axiom,
    ((![A3 : nat]: ((the_Addr @ (addr @ A3)) = A3)))). % the_Addr.simps
thf(fact_28_pred__equals__eq2, axiom,
    ((![R : set_Pr723149704on_val, S : set_Pr723149704on_val]: (((^[X : nat > option2118145160on_val]: (^[Y : list_char > option_val]: (member652041809on_val @ (produc52622304on_val @ X @ Y) @ R))) = (^[X : nat > option2118145160on_val]: (^[Y : list_char > option_val]: (member652041809on_val @ (produc52622304on_val @ X @ Y) @ S)))) = (R = S))))). % pred_equals_eq2
thf(fact_29_pred__equals__eq2, axiom,
    ((![R : set_Pr1189492743on_val, S : set_Pr1189492743on_val]: (((^[X : produc1097884484on_val]: (^[Y : produc1097884484on_val]: (member354538064on_val @ (produc1069526295on_val @ X @ Y) @ R))) = (^[X : produc1097884484on_val]: (^[Y : produc1097884484on_val]: (member354538064on_val @ (produc1069526295on_val @ X @ Y) @ S)))) = (R = S))))). % pred_equals_eq2
thf(fact_30_pred__equals__eq2, axiom,
    ((![R : set_Pr556513572on_val, S : set_Pr556513572on_val]: (((^[X : exp_list_char]: (^[Y : produc515445032on_val]: (member1888679917on_val @ (produc2023458740on_val @ X @ Y) @ R))) = (^[X : exp_list_char]: (^[Y : produc515445032on_val]: (member1888679917on_val @ (produc2023458740on_val @ X @ Y) @ S)))) = (R = S))))). % pred_equals_eq2
thf(fact_31_redp__redsp_OBlockThrow, axiom,
    ((![P : list_P1234162913t_char, V3 : list_char, T : ty, A3 : nat, S2 : produc515445032on_val]: (redp @ P @ (block_list_char @ V3 @ T @ (throw_list_char @ (val_list_char @ (addr @ A3)))) @ S2 @ (throw_list_char @ (val_list_char @ (addr @ A3))) @ S2)))). % redp_redsp.BlockThrow
thf(fact_32_red__reds_ORedNewFail, axiom,
    ((![H : nat > option2118145160on_val, C : list_char, L : list_char > option_val, P : list_P1234162913t_char]: (((new_Addr @ H) = none_nat) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (new_list_char @ C) @ (produc52622304on_val @ H @ L)) @ (produc2023458740on_val @ (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ outOfMemory)))) @ (produc52622304on_val @ H @ L))) @ (red @ P)))))). % red_reds.RedNewFail
thf(fact_33_redp__redsp_ORedThrowNull, axiom,
    ((![P : list_P1234162913t_char, S2 : produc515445032on_val]: (redp @ P @ (throw_list_char @ (val_list_char @ null)) @ S2 @ (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ nullPointer)))) @ S2)))). % redp_redsp.RedThrowNull
thf(fact_34_surj__pair, axiom,
    ((![P2 : produc515445032on_val]: (?[X4 : nat > option2118145160on_val, Y4 : list_char > option_val]: (P2 = (produc52622304on_val @ X4 @ Y4)))))). % surj_pair
thf(fact_35_surj__pair, axiom,
    ((![P2 : produc1172664615on_val]: (?[X4 : produc1097884484on_val, Y4 : produc1097884484on_val]: (P2 = (produc1069526295on_val @ X4 @ Y4)))))). % surj_pair
thf(fact_36_surj__pair, axiom,
    ((![P2 : produc1097884484on_val]: (?[X4 : exp_list_char, Y4 : produc515445032on_val]: (P2 = (produc2023458740on_val @ X4 @ Y4)))))). % surj_pair
thf(fact_37_exp_Oinject_I10_J, axiom,
    ((![X101 : list_char, X102 : ty, X103 : exp_list_char, Y101 : list_char, Y102 : ty, Y103 : exp_list_char]: (((block_list_char @ X101 @ X102 @ X103) = (block_list_char @ Y101 @ Y102 @ Y103)) = (((X101 = Y101)) & ((((X102 = Y102)) & ((X103 = Y103))))))))). % exp.inject(10)
thf(fact_38_eval__final, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val]: ((eval @ P @ E @ S2 @ E4 @ S3) => (final_list_char @ E4))))). % eval_final
thf(fact_39_eval__finalId, axiom,
    ((![E : exp_list_char, P : list_P1234162913t_char, S2 : produc515445032on_val]: ((final_list_char @ E) => (eval @ P @ E @ S2 @ E @ S2))))). % eval_finalId
thf(fact_40_redp__red__eq, axiom,
    ((redp = (^[P3 : list_P1234162913t_char]: (^[X : exp_list_char]: (^[Y : produc515445032on_val]: (^[Z : exp_list_char]: (^[Aa : produc515445032on_val]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ X @ Y) @ (produc2023458740on_val @ Z @ Aa)) @ (red @ P3)))))))))). % redp_red_eq
thf(fact_41_red__reds_ORedBlock, axiom,
    ((![V3 : list_char, T : ty, U2 : val, S2 : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (block_list_char @ V3 @ T @ (val_list_char @ U2)) @ S2) @ (produc2023458740on_val @ (val_list_char @ U2) @ S2)) @ (red @ P))))). % red_reds.RedBlock
thf(fact_42_red__reds_OThrowRed, axiom,
    ((![E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ E4 @ S3)) @ (red @ P)) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (throw_list_char @ E) @ S2) @ (produc2023458740on_val @ (throw_list_char @ E4) @ S3)) @ (red @ P)))))). % red_reds.ThrowRed
thf(fact_43_red__reds_OThrowThrow, axiom,
    ((![E : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (throw_list_char @ (throw_list_char @ E)) @ S2) @ (produc2023458740on_val @ (throw_list_char @ E) @ S2)) @ (red @ P))))). % red_reds.ThrowThrow
thf(fact_44_red__reds_OBlockThrow, axiom,
    ((![V3 : list_char, T : ty, A3 : nat, S2 : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (block_list_char @ V3 @ T @ (throw_list_char @ (val_list_char @ (addr @ A3)))) @ S2) @ (produc2023458740on_val @ (throw_list_char @ (val_list_char @ (addr @ A3))) @ S2)) @ (red @ P))))). % red_reds.BlockThrow
thf(fact_45_red__reds_ORedThrowNull, axiom,
    ((![S2 : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (throw_list_char @ (val_list_char @ null)) @ S2) @ (produc2023458740on_val @ (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ nullPointer)))) @ S2)) @ (red @ P))))). % red_reds.RedThrowNull
thf(fact_46_eval__cases_I2_J, axiom,
    ((![P : list_P1234162913t_char, V4 : val, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val]: ((eval @ P @ (val_list_char @ V4) @ S2 @ E4 @ S3) => (~ (((E4 = (val_list_char @ V4)) => (~ ((S3 = S2)))))))))). % eval_cases(2)
thf(fact_47_Val, axiom,
    ((![P : list_P1234162913t_char, V4 : val, S2 : produc515445032on_val]: (eval @ P @ (val_list_char @ V4) @ S2 @ (val_list_char @ V4) @ S2)))). % Val
thf(fact_48_eval__evals_OThrowThrow, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, S_0 : produc515445032on_val, E4 : exp_list_char, S_1 : produc515445032on_val]: ((eval @ P @ E @ S_0 @ (throw_list_char @ E4) @ S_1) => (eval @ P @ (throw_list_char @ E) @ S_0 @ (throw_list_char @ E4) @ S_1))))). % eval_evals.ThrowThrow
thf(fact_49_exp_Odistinct_I67_J, axiom,
    ((![X3 : val, X101 : list_char, X102 : ty, X103 : exp_list_char]: (~ (((val_list_char @ X3) = (block_list_char @ X101 @ X102 @ X103))))))). % exp.distinct(67)
thf(fact_50_exp_Odistinct_I187_J, axiom,
    ((![X101 : list_char, X102 : ty, X103 : exp_list_char, X14 : exp_list_char]: (~ (((block_list_char @ X101 @ X102 @ X103) = (throw_list_char @ X14))))))). % exp.distinct(187)
thf(fact_51_exp_Odistinct_I17_J, axiom,
    ((![X1 : list_char, X101 : list_char, X102 : ty, X103 : exp_list_char]: (~ (((new_list_char @ X1) = (block_list_char @ X101 @ X102 @ X103))))))). % exp.distinct(17)
thf(fact_52_mem__Collect__eq, axiom,
    ((![A3 : produc1172664615on_val, P : produc1172664615on_val > $o]: ((member354538064on_val @ A3 @ (collec2055896722on_val @ P)) = (P @ A3))))). % mem_Collect_eq
thf(fact_53_Collect__mem__eq, axiom,
    ((![A5 : set_Pr1189492743on_val]: ((collec2055896722on_val @ (^[X : produc1172664615on_val]: (member354538064on_val @ X @ A5))) = A5)))). % Collect_mem_eq
thf(fact_54_val_Odistinct_I13_J, axiom,
    ((![X5 : nat]: (~ ((null = (addr @ X5))))))). % val.distinct(13)
thf(fact_55_eval__cases_I12_J, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val]: ((eval @ P @ (throw_list_char @ E) @ S2 @ E4 @ S3) => ((![A : nat]: ((E4 = (throw_list_char @ (val_list_char @ (addr @ A)))) => (~ ((eval @ P @ E @ S2 @ (val_list_char @ (addr @ A)) @ S3))))) => (((E4 = (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ nullPointer))))) => (~ ((eval @ P @ E @ S2 @ (val_list_char @ null) @ S3)))) => (~ ((![E5 : exp_list_char]: ((E4 = (throw_list_char @ E5)) => (~ ((eval @ P @ E @ S2 @ (throw_list_char @ E5) @ S3))))))))))))). % eval_cases(12)
thf(fact_56_ThrowNull, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, S_0 : produc515445032on_val, S_1 : produc515445032on_val]: ((eval @ P @ E @ S_0 @ (val_list_char @ null) @ S_1) => (eval @ P @ (throw_list_char @ E) @ S_0 @ (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ nullPointer)))) @ S_1))))). % ThrowNull
thf(fact_57_redp__redsp_ORedBlock, axiom,
    ((![P : list_P1234162913t_char, V3 : list_char, T : ty, U2 : val, S2 : produc515445032on_val]: (redp @ P @ (block_list_char @ V3 @ T @ (val_list_char @ U2)) @ S2 @ (val_list_char @ U2) @ S2)))). % redp_redsp.RedBlock
thf(fact_58_Throw, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, S_0 : produc515445032on_val, A3 : nat, S_1 : produc515445032on_val]: ((eval @ P @ E @ S_0 @ (val_list_char @ (addr @ A3)) @ S_1) => (eval @ P @ (throw_list_char @ E) @ S_0 @ (throw_list_char @ (val_list_char @ (addr @ A3))) @ S_1))))). % Throw
thf(fact_59_old_Oprod_Oinducts, axiom,
    ((![P : produc515445032on_val > $o, Prod : produc515445032on_val]: ((![A : nat > option2118145160on_val, B3 : list_char > option_val]: (P @ (produc52622304on_val @ A @ B3))) => (P @ Prod))))). % old.prod.inducts
thf(fact_60_old_Oprod_Oinducts, axiom,
    ((![P : produc1172664615on_val > $o, Prod : produc1172664615on_val]: ((![A : produc1097884484on_val, B3 : produc1097884484on_val]: (P @ (produc1069526295on_val @ A @ B3))) => (P @ Prod))))). % old.prod.inducts
thf(fact_61_old_Oprod_Oinducts, axiom,
    ((![P : produc1097884484on_val > $o, Prod : produc1097884484on_val]: ((![A : exp_list_char, B3 : produc515445032on_val]: (P @ (produc2023458740on_val @ A @ B3))) => (P @ Prod))))). % old.prod.inducts
thf(fact_62_old_Oprod_Oexhaust, axiom,
    ((![Y6 : produc515445032on_val]: (~ ((![A : nat > option2118145160on_val, B3 : list_char > option_val]: (~ ((Y6 = (produc52622304on_val @ A @ B3)))))))))). % old.prod.exhaust
thf(fact_63_old_Oprod_Oexhaust, axiom,
    ((![Y6 : produc1172664615on_val]: (~ ((![A : produc1097884484on_val, B3 : produc1097884484on_val]: (~ ((Y6 = (produc1069526295on_val @ A @ B3)))))))))). % old.prod.exhaust
thf(fact_64_old_Oprod_Oexhaust, axiom,
    ((![Y6 : produc1097884484on_val]: (~ ((![A : exp_list_char, B3 : produc515445032on_val]: (~ ((Y6 = (produc2023458740on_val @ A @ B3)))))))))). % old.prod.exhaust
thf(fact_65_prod__induct4, axiom,
    ((![P : produc1172664615on_val > $o, X6 : produc1172664615on_val]: ((![A : produc1097884484on_val, B3 : exp_list_char, C2 : nat > option2118145160on_val, D : list_char > option_val]: (P @ (produc1069526295on_val @ A @ (produc2023458740on_val @ B3 @ (produc52622304on_val @ C2 @ D))))) => (P @ X6))))). % prod_induct4
thf(fact_66_prod__induct3, axiom,
    ((![P : produc1172664615on_val > $o, X6 : produc1172664615on_val]: ((![A : produc1097884484on_val, B3 : exp_list_char, C2 : produc515445032on_val]: (P @ (produc1069526295on_val @ A @ (produc2023458740on_val @ B3 @ C2)))) => (P @ X6))))). % prod_induct3
thf(fact_67_prod__induct3, axiom,
    ((![P : produc1097884484on_val > $o, X6 : produc1097884484on_val]: ((![A : exp_list_char, B3 : nat > option2118145160on_val, C2 : list_char > option_val]: (P @ (produc2023458740on_val @ A @ (produc52622304on_val @ B3 @ C2)))) => (P @ X6))))). % prod_induct3
thf(fact_68_prod__cases4, axiom,
    ((![Y6 : produc1172664615on_val]: (~ ((![A : produc1097884484on_val, B3 : exp_list_char, C2 : nat > option2118145160on_val, D : list_char > option_val]: (~ ((Y6 = (produc1069526295on_val @ A @ (produc2023458740on_val @ B3 @ (produc52622304on_val @ C2 @ D)))))))))))). % prod_cases4
thf(fact_69_prod__cases3, axiom,
    ((![Y6 : produc1172664615on_val]: (~ ((![A : produc1097884484on_val, B3 : exp_list_char, C2 : produc515445032on_val]: (~ ((Y6 = (produc1069526295on_val @ A @ (produc2023458740on_val @ B3 @ C2))))))))))). % prod_cases3
thf(fact_70_prod__cases3, axiom,
    ((![Y6 : produc1097884484on_val]: (~ ((![A : exp_list_char, B3 : nat > option2118145160on_val, C2 : list_char > option_val]: (~ ((Y6 = (produc2023458740on_val @ A @ (produc52622304on_val @ B3 @ C2))))))))))). % prod_cases3
thf(fact_71_Pair__inject, axiom,
    ((![A3 : nat > option2118145160on_val, B : list_char > option_val, A4 : nat > option2118145160on_val, B2 : list_char > option_val]: (((produc52622304on_val @ A3 @ B) = (produc52622304on_val @ A4 @ B2)) => (~ (((A3 = A4) => (~ ((B = B2)))))))))). % Pair_inject
thf(fact_72_Pair__inject, axiom,
    ((![A3 : produc1097884484on_val, B : produc1097884484on_val, A4 : produc1097884484on_val, B2 : produc1097884484on_val]: (((produc1069526295on_val @ A3 @ B) = (produc1069526295on_val @ A4 @ B2)) => (~ (((A3 = A4) => (~ ((B = B2)))))))))). % Pair_inject
thf(fact_73_Pair__inject, axiom,
    ((![A3 : exp_list_char, B : produc515445032on_val, A4 : exp_list_char, B2 : produc515445032on_val]: (((produc2023458740on_val @ A3 @ B) = (produc2023458740on_val @ A4 @ B2)) => (~ (((A3 = A4) => (~ ((B = B2)))))))))). % Pair_inject
thf(fact_74_prod__cases, axiom,
    ((![P : produc515445032on_val > $o, P2 : produc515445032on_val]: ((![A : nat > option2118145160on_val, B3 : list_char > option_val]: (P @ (produc52622304on_val @ A @ B3))) => (P @ P2))))). % prod_cases
thf(fact_75_prod__cases, axiom,
    ((![P : produc1172664615on_val > $o, P2 : produc1172664615on_val]: ((![A : produc1097884484on_val, B3 : produc1097884484on_val]: (P @ (produc1069526295on_val @ A @ B3))) => (P @ P2))))). % prod_cases
thf(fact_76_prod__cases, axiom,
    ((![P : produc1097884484on_val > $o, P2 : produc1097884484on_val]: ((![A : exp_list_char, B3 : produc515445032on_val]: (P @ (produc2023458740on_val @ A @ B3))) => (P @ P2))))). % prod_cases
thf(fact_77_red__reds_ORedFAccNull, axiom,
    ((![F : list_char, D2 : list_char, S2 : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAcc_list_char @ (val_list_char @ null) @ F @ D2) @ S2) @ (produc2023458740on_val @ (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ nullPointer)))) @ S2)) @ (red @ P))))). % red_reds.RedFAccNull
thf(fact_78_red__reds_ORedFAssNull, axiom,
    ((![F : list_char, D2 : list_char, V4 : val, S2 : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ (val_list_char @ null) @ F @ D2 @ (val_list_char @ V4)) @ S2) @ (produc2023458740on_val @ (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ nullPointer)))) @ S2)) @ (red @ P))))). % red_reds.RedFAssNull
thf(fact_79_red__preserves__hconf, axiom,
    ((![E : exp_list_char, H : nat > option2118145160on_val, L : list_char > option_val, E4 : exp_list_char, H2 : nat > option2118145160on_val, L2 : list_char > option_val, P : list_P1234162913t_char, E3 : list_char > option_ty, T : ty]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ (produc52622304on_val @ H @ L)) @ (produc2023458740on_val @ E4 @ (produc52622304on_val @ H2 @ L2))) @ (red @ P)) => ((wTrt @ P @ H @ E3 @ E @ T) => ((hconf_1244167010t_char @ P @ H) => (hconf_1244167010t_char @ P @ H2))))))). % red_preserves_hconf
thf(fact_80_red__preserves__lconf, axiom,
    ((![E : exp_list_char, H : nat > option2118145160on_val, L : list_char > option_val, E4 : exp_list_char, H2 : nat > option2118145160on_val, L2 : list_char > option_val, P : list_P1234162913t_char, E3 : list_char > option_ty, T : ty]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ (produc52622304on_val @ H @ L)) @ (produc2023458740on_val @ E4 @ (produc52622304on_val @ H2 @ L2))) @ (red @ P)) => ((wTrt @ P @ H @ E3 @ E @ T) => ((lconf_485928294t_char @ P @ H @ L @ E3) => (lconf_485928294t_char @ P @ H2 @ L2 @ E3))))))). % red_preserves_lconf
thf(fact_81_red__preserves__sconf, axiom,
    ((![E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char, E3 : list_char > option_ty, T : ty]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ E4 @ S3)) @ (red @ P)) => ((wTrt @ P @ (hp @ S2) @ E3 @ E @ T) => ((typeSa1777264139_sconf @ P @ E3 @ S2) => (typeSa1777264139_sconf @ P @ E3 @ S3))))))). % red_preserves_sconf
thf(fact_82_redp__redsp_ORedFAccNull, axiom,
    ((![P : list_P1234162913t_char, F : list_char, D2 : list_char, S2 : produc515445032on_val]: (redp @ P @ (fAcc_list_char @ (val_list_char @ null) @ F @ D2) @ S2 @ (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ nullPointer)))) @ S2)))). % redp_redsp.RedFAccNull
thf(fact_83_FAccNull, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, S_0 : produc515445032on_val, S_1 : produc515445032on_val, F : list_char, D2 : list_char]: ((eval @ P @ E @ S_0 @ (val_list_char @ null) @ S_1) => (eval @ P @ (fAcc_list_char @ E @ F @ D2) @ S_0 @ (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ nullPointer)))) @ S_1))))). % FAccNull
thf(fact_84_exp_Oinject_I8_J, axiom,
    ((![X81 : exp_list_char, X82 : list_char, X83 : list_char, X84 : exp_list_char, Y81 : exp_list_char, Y82 : list_char, Y83 : list_char, Y84 : exp_list_char]: (((fAss_list_char @ X81 @ X82 @ X83 @ X84) = (fAss_list_char @ Y81 @ Y82 @ Y83 @ Y84)) = (((X81 = Y81)) & ((((X82 = Y82)) & ((((X83 = Y83)) & ((X84 = Y84))))))))))). % exp.inject(8)
thf(fact_85_exp_Oinject_I7_J, axiom,
    ((![X71 : exp_list_char, X72 : list_char, X73 : list_char, Y71 : exp_list_char, Y72 : list_char, Y73 : list_char]: (((fAcc_list_char @ X71 @ X72 @ X73) = (fAcc_list_char @ Y71 @ Y72 @ Y73)) = (((X71 = Y71)) & ((((X72 = Y72)) & ((X73 = Y73))))))))). % exp.inject(7)
thf(fact_86_exp_Odistinct_I139_J, axiom,
    ((![X71 : exp_list_char, X72 : list_char, X73 : list_char, X81 : exp_list_char, X82 : list_char, X83 : list_char, X84 : exp_list_char]: (~ (((fAcc_list_char @ X71 @ X72 @ X73) = (fAss_list_char @ X81 @ X82 @ X83 @ X84))))))). % exp.distinct(139)
thf(fact_87_redp__redsp_OFAssRed1, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val, F : list_char, D2 : list_char, E_2 : exp_list_char]: ((redp @ P @ E @ S2 @ E4 @ S3) => (redp @ P @ (fAss_list_char @ E @ F @ D2 @ E_2) @ S2 @ (fAss_list_char @ E4 @ F @ D2 @ E_2) @ S3))))). % redp_redsp.FAssRed1
thf(fact_88_redp__redsp_OFAccRed, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val, F : list_char, D2 : list_char]: ((redp @ P @ E @ S2 @ E4 @ S3) => (redp @ P @ (fAcc_list_char @ E @ F @ D2) @ S2 @ (fAcc_list_char @ E4 @ F @ D2) @ S3))))). % redp_redsp.FAccRed
thf(fact_89_exp_Odistinct_I63_J, axiom,
    ((![X3 : val, X81 : exp_list_char, X82 : list_char, X83 : list_char, X84 : exp_list_char]: (~ (((val_list_char @ X3) = (fAss_list_char @ X81 @ X82 @ X83 @ X84))))))). % exp.distinct(63)
thf(fact_90_exp_Odistinct_I61_J, axiom,
    ((![X3 : val, X71 : exp_list_char, X72 : list_char, X73 : list_char]: (~ (((val_list_char @ X3) = (fAcc_list_char @ X71 @ X72 @ X73))))))). % exp.distinct(61)
thf(fact_91_exp_Odistinct_I165_J, axiom,
    ((![X81 : exp_list_char, X82 : list_char, X83 : list_char, X84 : exp_list_char, X14 : exp_list_char]: (~ (((fAss_list_char @ X81 @ X82 @ X83 @ X84) = (throw_list_char @ X14))))))). % exp.distinct(165)
thf(fact_92_exp_Odistinct_I151_J, axiom,
    ((![X71 : exp_list_char, X72 : list_char, X73 : list_char, X14 : exp_list_char]: (~ (((fAcc_list_char @ X71 @ X72 @ X73) = (throw_list_char @ X14))))))). % exp.distinct(151)
thf(fact_93_exp_Odistinct_I157_J, axiom,
    ((![X81 : exp_list_char, X82 : list_char, X83 : list_char, X84 : exp_list_char, X101 : list_char, X102 : ty, X103 : exp_list_char]: (~ (((fAss_list_char @ X81 @ X82 @ X83 @ X84) = (block_list_char @ X101 @ X102 @ X103))))))). % exp.distinct(157)
thf(fact_94_exp_Odistinct_I143_J, axiom,
    ((![X71 : exp_list_char, X72 : list_char, X73 : list_char, X101 : list_char, X102 : ty, X103 : exp_list_char]: (~ (((fAcc_list_char @ X71 @ X72 @ X73) = (block_list_char @ X101 @ X102 @ X103))))))). % exp.distinct(143)
thf(fact_95_exp_Odistinct_I13_J, axiom,
    ((![X1 : list_char, X81 : exp_list_char, X82 : list_char, X83 : list_char, X84 : exp_list_char]: (~ (((new_list_char @ X1) = (fAss_list_char @ X81 @ X82 @ X83 @ X84))))))). % exp.distinct(13)
thf(fact_96_exp_Odistinct_I11_J, axiom,
    ((![X1 : list_char, X71 : exp_list_char, X72 : list_char, X73 : list_char]: (~ (((new_list_char @ X1) = (fAcc_list_char @ X71 @ X72 @ X73))))))). % exp.distinct(11)
thf(fact_97_eval__evals_OFAssThrow1, axiom,
    ((![P : list_P1234162913t_char, E_1 : exp_list_char, S_0 : produc515445032on_val, E4 : exp_list_char, S_1 : produc515445032on_val, F : list_char, D2 : list_char, E_2 : exp_list_char]: ((eval @ P @ E_1 @ S_0 @ (throw_list_char @ E4) @ S_1) => (eval @ P @ (fAss_list_char @ E_1 @ F @ D2 @ E_2) @ S_0 @ (throw_list_char @ E4) @ S_1))))). % eval_evals.FAssThrow1
thf(fact_98_redp__redsp_OFAssRed2, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val, V4 : val, F : list_char, D2 : list_char]: ((redp @ P @ E @ S2 @ E4 @ S3) => (redp @ P @ (fAss_list_char @ (val_list_char @ V4) @ F @ D2 @ E) @ S2 @ (fAss_list_char @ (val_list_char @ V4) @ F @ D2 @ E4) @ S3))))). % redp_redsp.FAssRed2
thf(fact_99_redp__redsp_OFAssThrow1, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, F : list_char, D2 : list_char, E_2 : exp_list_char, S2 : produc515445032on_val]: (redp @ P @ (fAss_list_char @ (throw_list_char @ E) @ F @ D2 @ E_2) @ S2 @ (throw_list_char @ E) @ S2)))). % redp_redsp.FAssThrow1
thf(fact_100_eval__evals_OFAccThrow, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, S_0 : produc515445032on_val, E4 : exp_list_char, S_1 : produc515445032on_val, F : list_char, D2 : list_char]: ((eval @ P @ E @ S_0 @ (throw_list_char @ E4) @ S_1) => (eval @ P @ (fAcc_list_char @ E @ F @ D2) @ S_0 @ (throw_list_char @ E4) @ S_1))))). % eval_evals.FAccThrow
thf(fact_101_redp__redsp_OFAccThrow, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, F : list_char, D2 : list_char, S2 : produc515445032on_val]: (redp @ P @ (fAcc_list_char @ (throw_list_char @ E) @ F @ D2) @ S2 @ (throw_list_char @ E) @ S2)))). % redp_redsp.FAccThrow
thf(fact_102_red__reds_OFAssRed1, axiom,
    ((![E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char, F : list_char, D2 : list_char, E_2 : exp_list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ E4 @ S3)) @ (red @ P)) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ E @ F @ D2 @ E_2) @ S2) @ (produc2023458740on_val @ (fAss_list_char @ E4 @ F @ D2 @ E_2) @ S3)) @ (red @ P)))))). % red_reds.FAssRed1
thf(fact_103_eval__evals_OFAssThrow2, axiom,
    ((![P : list_P1234162913t_char, E_1 : exp_list_char, S_0 : produc515445032on_val, V4 : val, S_1 : produc515445032on_val, E_2 : exp_list_char, E4 : exp_list_char, S_2 : produc515445032on_val, F : list_char, D2 : list_char]: ((eval @ P @ E_1 @ S_0 @ (val_list_char @ V4) @ S_1) => ((eval @ P @ E_2 @ S_1 @ (throw_list_char @ E4) @ S_2) => (eval @ P @ (fAss_list_char @ E_1 @ F @ D2 @ E_2) @ S_0 @ (throw_list_char @ E4) @ S_2)))))). % eval_evals.FAssThrow2
thf(fact_104_red__reds_OFAccRed, axiom,
    ((![E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char, F : list_char, D2 : list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ E4 @ S3)) @ (red @ P)) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAcc_list_char @ E @ F @ D2) @ S2) @ (produc2023458740on_val @ (fAcc_list_char @ E4 @ F @ D2) @ S3)) @ (red @ P)))))). % red_reds.FAccRed
thf(fact_105_redp__redsp_OFAssThrow2, axiom,
    ((![P : list_P1234162913t_char, V4 : val, F : list_char, D2 : list_char, E : exp_list_char, S2 : produc515445032on_val]: (redp @ P @ (fAss_list_char @ (val_list_char @ V4) @ F @ D2 @ (throw_list_char @ E)) @ S2 @ (throw_list_char @ E) @ S2)))). % redp_redsp.FAssThrow2
thf(fact_106_red__reds_OFAssRed2, axiom,
    ((![E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char, V4 : val, F : list_char, D2 : list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ E4 @ S3)) @ (red @ P)) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ (val_list_char @ V4) @ F @ D2 @ E) @ S2) @ (produc2023458740on_val @ (fAss_list_char @ (val_list_char @ V4) @ F @ D2 @ E4) @ S3)) @ (red @ P)))))). % red_reds.FAssRed2
thf(fact_107_red__reds_OFAssThrow1, axiom,
    ((![E : exp_list_char, F : list_char, D2 : list_char, E_2 : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ (throw_list_char @ E) @ F @ D2 @ E_2) @ S2) @ (produc2023458740on_val @ (throw_list_char @ E) @ S2)) @ (red @ P))))). % red_reds.FAssThrow1
thf(fact_108_red__reds_OFAccThrow, axiom,
    ((![E : exp_list_char, F : list_char, D2 : list_char, S2 : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAcc_list_char @ (throw_list_char @ E) @ F @ D2) @ S2) @ (produc2023458740on_val @ (throw_list_char @ E) @ S2)) @ (red @ P))))). % red_reds.FAccThrow
thf(fact_109_red__reds_OFAssThrow2, axiom,
    ((![V4 : val, F : list_char, D2 : list_char, E : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ (val_list_char @ V4) @ F @ D2 @ (throw_list_char @ E)) @ S2) @ (produc2023458740on_val @ (throw_list_char @ E) @ S2)) @ (red @ P))))). % red_reds.FAssThrow2
thf(fact_110_FAssNull, axiom,
    ((![P : list_P1234162913t_char, E_1 : exp_list_char, S_0 : produc515445032on_val, S_1 : produc515445032on_val, E_2 : exp_list_char, V4 : val, S_2 : produc515445032on_val, F : list_char, D2 : list_char]: ((eval @ P @ E_1 @ S_0 @ (val_list_char @ null) @ S_1) => ((eval @ P @ E_2 @ S_1 @ (val_list_char @ V4) @ S_2) => (eval @ P @ (fAss_list_char @ E_1 @ F @ D2 @ E_2) @ S_0 @ (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ nullPointer)))) @ S_2)))))). % FAssNull
thf(fact_111_redp__redsp_ORedFAssNull, axiom,
    ((![P : list_P1234162913t_char, F : list_char, D2 : list_char, V4 : val, S2 : produc515445032on_val]: (redp @ P @ (fAss_list_char @ (val_list_char @ null) @ F @ D2 @ (val_list_char @ V4)) @ S2 @ (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ nullPointer)))) @ S2)))). % redp_redsp.RedFAssNull
thf(fact_112_lconf__empty, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E3 : list_char > option_ty]: (lconf_485928294t_char @ P @ H @ (^[X : list_char]: none_val) @ E3)))). % lconf_empty
thf(fact_113_FAccRedsNull, axiom,
    ((![E : exp_list_char, S2 : produc515445032on_val, S3 : produc515445032on_val, P : list_P1234162913t_char, F : list_char, D2 : list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ (val_list_char @ null) @ S3)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAcc_list_char @ E @ F @ D2) @ S2) @ (produc2023458740on_val @ (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ nullPointer)))) @ S3)) @ (transi111096263on_val @ (red @ P))))))). % FAccRedsNull
thf(fact_114_FAssRedsNull, axiom,
    ((![E_1 : exp_list_char, S_0 : produc515445032on_val, S_1 : produc515445032on_val, P : list_P1234162913t_char, E_2 : exp_list_char, V4 : val, S_2 : produc515445032on_val, F : list_char, D2 : list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E_1 @ S_0) @ (produc2023458740on_val @ (val_list_char @ null) @ S_1)) @ (transi111096263on_val @ (red @ P))) => ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E_2 @ S_1) @ (produc2023458740on_val @ (val_list_char @ V4) @ S_2)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ E_1 @ F @ D2 @ E_2) @ S_0) @ (produc2023458740on_val @ (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ nullPointer)))) @ S_2)) @ (transi111096263on_val @ (red @ P)))))))). % FAssRedsNull
thf(fact_115_ThrowRedsNull, axiom,
    ((![E : exp_list_char, S2 : produc515445032on_val, S3 : produc515445032on_val, P : list_P1234162913t_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ (val_list_char @ null) @ S3)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (throw_list_char @ E) @ S2) @ (produc2023458740on_val @ (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ nullPointer)))) @ S3)) @ (transi111096263on_val @ (red @ P))))))). % ThrowRedsNull
thf(fact_116_ThrowReds, axiom,
    ((![E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ E4 @ S3)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (throw_list_char @ E) @ S2) @ (produc2023458740on_val @ (throw_list_char @ E4) @ S3)) @ (transi111096263on_val @ (red @ P))))))). % ThrowReds
thf(fact_117_ThrowRedsThrow, axiom,
    ((![E : exp_list_char, S2 : produc515445032on_val, A3 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ (throw_list_char @ A3) @ S3)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (throw_list_char @ E) @ S2) @ (produc2023458740on_val @ (throw_list_char @ A3) @ S3)) @ (transi111096263on_val @ (red @ P))))))). % ThrowRedsThrow
thf(fact_118_FAssReds1, axiom,
    ((![E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char, F : list_char, D2 : list_char, E_2 : exp_list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ E4 @ S3)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ E @ F @ D2 @ E_2) @ S2) @ (produc2023458740on_val @ (fAss_list_char @ E4 @ F @ D2 @ E_2) @ S3)) @ (transi111096263on_val @ (red @ P))))))). % FAssReds1
thf(fact_119_FAccReds, axiom,
    ((![E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char, F : list_char, D2 : list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ E4 @ S3)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAcc_list_char @ E @ F @ D2) @ S2) @ (produc2023458740on_val @ (fAcc_list_char @ E4 @ F @ D2) @ S3)) @ (transi111096263on_val @ (red @ P))))))). % FAccReds
thf(fact_120_FAssReds2, axiom,
    ((![E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char, V4 : val, F : list_char, D2 : list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ E4 @ S3)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ (val_list_char @ V4) @ F @ D2 @ E) @ S2) @ (produc2023458740on_val @ (fAss_list_char @ (val_list_char @ V4) @ F @ D2 @ E4) @ S3)) @ (transi111096263on_val @ (red @ P))))))). % FAssReds2
thf(fact_121_FAssRedsThrow1, axiom,
    ((![E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char, F : list_char, D2 : list_char, E_2 : exp_list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ (throw_list_char @ E4) @ S3)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ E @ F @ D2 @ E_2) @ S2) @ (produc2023458740on_val @ (throw_list_char @ E4) @ S3)) @ (transi111096263on_val @ (red @ P))))))). % FAssRedsThrow1
thf(fact_122_FAccRedsThrow, axiom,
    ((![E : exp_list_char, S2 : produc515445032on_val, A3 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char, F : list_char, D2 : list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ (throw_list_char @ A3) @ S3)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAcc_list_char @ E @ F @ D2) @ S2) @ (produc2023458740on_val @ (throw_list_char @ A3) @ S3)) @ (transi111096263on_val @ (red @ P))))))). % FAccRedsThrow
thf(fact_123_converse__rtrancl__induct__red, axiom,
    ((![E : exp_list_char, H : nat > option2118145160on_val, L : list_char > option_val, E4 : exp_list_char, H2 : nat > option2118145160on_val, L2 : list_char > option_val, P : list_P1234162913t_char, R : exp_list_char > (nat > option2118145160on_val) > (list_char > option_val) > exp_list_char > (nat > option2118145160on_val) > (list_char > option_val) > $o]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ (produc52622304on_val @ H @ L)) @ (produc2023458740on_val @ E4 @ (produc52622304on_val @ H2 @ L2))) @ (transi111096263on_val @ (red @ P))) => ((![E6 : exp_list_char, H3 : nat > option2118145160on_val, L3 : list_char > option_val]: (R @ E6 @ H3 @ L3 @ E6 @ H3 @ L3)) => ((![E_0 : exp_list_char, H_0 : nat > option2118145160on_val, L_0 : list_char > option_val, E_12 : exp_list_char, H_1 : nat > option2118145160on_val, L_1 : list_char > option_val, E5 : exp_list_char, H4 : nat > option2118145160on_val, L4 : list_char > option_val]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E_0 @ (produc52622304on_val @ H_0 @ L_0)) @ (produc2023458740on_val @ E_12 @ (produc52622304on_val @ H_1 @ L_1))) @ (red @ P)) => ((R @ E_12 @ H_1 @ L_1 @ E5 @ H4 @ L4) => (R @ E_0 @ H_0 @ L_0 @ E5 @ H4 @ L4)))) => (R @ E @ H @ L @ E4 @ H2 @ L2))))))). % converse_rtrancl_induct_red
thf(fact_124_FAssRedsThrow2, axiom,
    ((![E_1 : exp_list_char, S_0 : produc515445032on_val, V4 : val, S_1 : produc515445032on_val, P : list_P1234162913t_char, E_2 : exp_list_char, E : exp_list_char, S_2 : produc515445032on_val, F : list_char, D2 : list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E_1 @ S_0) @ (produc2023458740on_val @ (val_list_char @ V4) @ S_1)) @ (transi111096263on_val @ (red @ P))) => ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E_2 @ S_1) @ (produc2023458740on_val @ (throw_list_char @ E) @ S_2)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ E_1 @ F @ D2 @ E_2) @ S_0) @ (produc2023458740on_val @ (throw_list_char @ E) @ S_2)) @ (transi111096263on_val @ (red @ P)))))))). % FAssRedsThrow2
thf(fact_125_small__by__big, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val]: ((wf_pro1229751607t_char @ wwf_J_mdecl @ P) => ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ E4 @ S3)) @ (transi111096263on_val @ (red @ P))) => ((final_list_char @ E4) => (eval @ P @ E @ S2 @ E4 @ S3))))))). % small_by_big
thf(fact_126_big__iff__small, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val]: ((wf_pro1229751607t_char @ wwf_J_mdecl @ P) => ((eval @ P @ E @ S2 @ E4 @ S3) = (((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ E4 @ S3)) @ (transi111096263on_val @ (red @ P)))) & ((final_list_char @ E4)))))))). % big_iff_small
thf(fact_127_converse__rtrancl__induct2, axiom,
    ((![Ax : nat > option2118145160on_val, Ay : list_char > option_val, Bx : nat > option2118145160on_val, By : list_char > option_val, R2 : set_Pr148564103on_val, P : (nat > option2118145160on_val) > (list_char > option_val) > $o]: ((member2027247312on_val @ (produc2106877847on_val @ (produc52622304on_val @ Ax @ Ay) @ (produc52622304on_val @ Bx @ By)) @ (transi432893227on_val @ R2)) => ((P @ Bx @ By) => ((![A : nat > option2118145160on_val, B3 : list_char > option_val, Aa2 : nat > option2118145160on_val, Ba : list_char > option_val]: ((member2027247312on_val @ (produc2106877847on_val @ (produc52622304on_val @ A @ B3) @ (produc52622304on_val @ Aa2 @ Ba)) @ R2) => ((member2027247312on_val @ (produc2106877847on_val @ (produc52622304on_val @ Aa2 @ Ba) @ (produc52622304on_val @ Bx @ By)) @ (transi432893227on_val @ R2)) => ((P @ Aa2 @ Ba) => (P @ A @ B3))))) => (P @ Ax @ Ay))))))). % converse_rtrancl_induct2
thf(fact_128_converse__rtrancl__induct2, axiom,
    ((![Ax : produc1097884484on_val, Ay : produc1097884484on_val, Bx : produc1097884484on_val, By : produc1097884484on_val, R2 : set_Pr1368603847on_val, P : produc1097884484on_val > produc1097884484on_val > $o]: ((member208988944on_val @ (produc564964183on_val @ (produc1069526295on_val @ Ax @ Ay) @ (produc1069526295on_val @ Bx @ By)) @ (transi100378922on_val @ R2)) => ((P @ Bx @ By) => ((![A : produc1097884484on_val, B3 : produc1097884484on_val, Aa2 : produc1097884484on_val, Ba : produc1097884484on_val]: ((member208988944on_val @ (produc564964183on_val @ (produc1069526295on_val @ A @ B3) @ (produc1069526295on_val @ Aa2 @ Ba)) @ R2) => ((member208988944on_val @ (produc564964183on_val @ (produc1069526295on_val @ Aa2 @ Ba) @ (produc1069526295on_val @ Bx @ By)) @ (transi100378922on_val @ R2)) => ((P @ Aa2 @ Ba) => (P @ A @ B3))))) => (P @ Ax @ Ay))))))). % converse_rtrancl_induct2
thf(fact_129_converse__rtrancl__induct2, axiom,
    ((![Ax : exp_list_char, Ay : produc515445032on_val, Bx : exp_list_char, By : produc515445032on_val, R2 : set_Pr1189492743on_val, P : exp_list_char > produc515445032on_val > $o]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ Ax @ Ay) @ (produc2023458740on_val @ Bx @ By)) @ (transi111096263on_val @ R2)) => ((P @ Bx @ By) => ((![A : exp_list_char, B3 : produc515445032on_val, Aa2 : exp_list_char, Ba : produc515445032on_val]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ A @ B3) @ (produc2023458740on_val @ Aa2 @ Ba)) @ R2) => ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ Aa2 @ Ba) @ (produc2023458740on_val @ Bx @ By)) @ (transi111096263on_val @ R2)) => ((P @ Aa2 @ Ba) => (P @ A @ B3))))) => (P @ Ax @ Ay))))))). % converse_rtrancl_induct2
thf(fact_130_rtrancl__idemp, axiom,
    ((![R2 : set_Pr1189492743on_val]: ((transi111096263on_val @ (transi111096263on_val @ R2)) = (transi111096263on_val @ R2))))). % rtrancl_idemp
thf(fact_131_r__into__rtrancl, axiom,
    ((![P2 : produc1172664615on_val, R2 : set_Pr1189492743on_val]: ((member354538064on_val @ P2 @ R2) => (member354538064on_val @ P2 @ (transi111096263on_val @ R2)))))). % r_into_rtrancl
thf(fact_132_converse__rtrancl__into__rtrancl, axiom,
    ((![A3 : produc1097884484on_val, B : produc1097884484on_val, R2 : set_Pr1189492743on_val, C3 : produc1097884484on_val]: ((member354538064on_val @ (produc1069526295on_val @ A3 @ B) @ R2) => ((member354538064on_val @ (produc1069526295on_val @ B @ C3) @ (transi111096263on_val @ R2)) => (member354538064on_val @ (produc1069526295on_val @ A3 @ C3) @ (transi111096263on_val @ R2))))))). % converse_rtrancl_into_rtrancl
thf(fact_133_rtrancl_Ortrancl__into__rtrancl, axiom,
    ((![A3 : produc1097884484on_val, B : produc1097884484on_val, R2 : set_Pr1189492743on_val, C3 : produc1097884484on_val]: ((member354538064on_val @ (produc1069526295on_val @ A3 @ B) @ (transi111096263on_val @ R2)) => ((member354538064on_val @ (produc1069526295on_val @ B @ C3) @ R2) => (member354538064on_val @ (produc1069526295on_val @ A3 @ C3) @ (transi111096263on_val @ R2))))))). % rtrancl.rtrancl_into_rtrancl
thf(fact_134_converse__rtrancl__induct, axiom,
    ((![A3 : produc1097884484on_val, B : produc1097884484on_val, R2 : set_Pr1189492743on_val, P : produc1097884484on_val > $o]: ((member354538064on_val @ (produc1069526295on_val @ A3 @ B) @ (transi111096263on_val @ R2)) => ((P @ B) => ((![Y4 : produc1097884484on_val, Z2 : produc1097884484on_val]: ((member354538064on_val @ (produc1069526295on_val @ Y4 @ Z2) @ R2) => ((member354538064on_val @ (produc1069526295on_val @ Z2 @ B) @ (transi111096263on_val @ R2)) => ((P @ Z2) => (P @ Y4))))) => (P @ A3))))))). % converse_rtrancl_induct
thf(fact_135_rtrancl_Ortrancl__refl, axiom,
    ((![A3 : produc1097884484on_val, R2 : set_Pr1189492743on_val]: (member354538064on_val @ (produc1069526295on_val @ A3 @ A3) @ (transi111096263on_val @ R2))))). % rtrancl.rtrancl_refl
thf(fact_136_converse__rtranclE, axiom,
    ((![X6 : produc1097884484on_val, Z3 : produc1097884484on_val, R2 : set_Pr1189492743on_val]: ((member354538064on_val @ (produc1069526295on_val @ X6 @ Z3) @ (transi111096263on_val @ R2)) => ((~ ((X6 = Z3))) => (~ ((![Y4 : produc1097884484on_val]: ((member354538064on_val @ (produc1069526295on_val @ X6 @ Y4) @ R2) => (~ ((member354538064on_val @ (produc1069526295on_val @ Y4 @ Z3) @ (transi111096263on_val @ R2))))))))))))). % converse_rtranclE
thf(fact_137_rtrancl_Oinducts, axiom,
    ((![X1 : produc1097884484on_val, X2 : produc1097884484on_val, R2 : set_Pr1189492743on_val, P : produc1097884484on_val > produc1097884484on_val > $o]: ((member354538064on_val @ (produc1069526295on_val @ X1 @ X2) @ (transi111096263on_val @ R2)) => ((![A : produc1097884484on_val]: (P @ A @ A)) => ((![A : produc1097884484on_val, B3 : produc1097884484on_val, C2 : produc1097884484on_val]: ((member354538064on_val @ (produc1069526295on_val @ A @ B3) @ (transi111096263on_val @ R2)) => ((P @ A @ B3) => ((member354538064on_val @ (produc1069526295on_val @ B3 @ C2) @ R2) => (P @ A @ C2))))) => (P @ X1 @ X2))))))). % rtrancl.inducts
thf(fact_138_rtrancl__induct, axiom,
    ((![A3 : produc1097884484on_val, B : produc1097884484on_val, R2 : set_Pr1189492743on_val, P : produc1097884484on_val > $o]: ((member354538064on_val @ (produc1069526295on_val @ A3 @ B) @ (transi111096263on_val @ R2)) => ((P @ A3) => ((![Y4 : produc1097884484on_val, Z2 : produc1097884484on_val]: ((member354538064on_val @ (produc1069526295on_val @ A3 @ Y4) @ (transi111096263on_val @ R2)) => ((member354538064on_val @ (produc1069526295on_val @ Y4 @ Z2) @ R2) => ((P @ Y4) => (P @ Z2))))) => (P @ B))))))). % rtrancl_induct
thf(fact_139_rtrancl__trans, axiom,
    ((![X6 : produc1097884484on_val, Y6 : produc1097884484on_val, R2 : set_Pr1189492743on_val, Z3 : produc1097884484on_val]: ((member354538064on_val @ (produc1069526295on_val @ X6 @ Y6) @ (transi111096263on_val @ R2)) => ((member354538064on_val @ (produc1069526295on_val @ Y6 @ Z3) @ (transi111096263on_val @ R2)) => (member354538064on_val @ (produc1069526295on_val @ X6 @ Z3) @ (transi111096263on_val @ R2))))))). % rtrancl_trans
thf(fact_140_rtrancl_Osimps, axiom,
    ((![A1 : produc1097884484on_val, A22 : produc1097884484on_val, R2 : set_Pr1189492743on_val]: ((member354538064on_val @ (produc1069526295on_val @ A1 @ A22) @ (transi111096263on_val @ R2)) = (((?[A2 : produc1097884484on_val]: (((A1 = A2)) & ((A22 = A2))))) | ((?[A2 : produc1097884484on_val]: (?[B4 : produc1097884484on_val]: (?[C4 : produc1097884484on_val]: (((A1 = A2)) & ((((A22 = C4)) & ((((member354538064on_val @ (produc1069526295on_val @ A2 @ B4) @ (transi111096263on_val @ R2))) & ((member354538064on_val @ (produc1069526295on_val @ B4 @ C4) @ R2)))))))))))))))). % rtrancl.simps
thf(fact_141_rtrancl_Ocases, axiom,
    ((![A1 : produc1097884484on_val, A22 : produc1097884484on_val, R2 : set_Pr1189492743on_val]: ((member354538064on_val @ (produc1069526295on_val @ A1 @ A22) @ (transi111096263on_val @ R2)) => ((~ ((A22 = A1))) => (~ ((![B3 : produc1097884484on_val]: ((member354538064on_val @ (produc1069526295on_val @ A1 @ B3) @ (transi111096263on_val @ R2)) => (~ ((member354538064on_val @ (produc1069526295on_val @ B3 @ A22) @ R2)))))))))))). % rtrancl.cases
thf(fact_142_rtranclE, axiom,
    ((![A3 : produc1097884484on_val, B : produc1097884484on_val, R2 : set_Pr1189492743on_val]: ((member354538064on_val @ (produc1069526295on_val @ A3 @ B) @ (transi111096263on_val @ R2)) => ((~ ((A3 = B))) => (~ ((![Y4 : produc1097884484on_val]: ((member354538064on_val @ (produc1069526295on_val @ A3 @ Y4) @ (transi111096263on_val @ R2)) => (~ ((member354538064on_val @ (produc1069526295on_val @ Y4 @ B) @ R2)))))))))))). % rtranclE
thf(fact_143_extend__1__eval, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, S2 : produc515445032on_val, E7 : exp_list_char, S4 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val]: ((wf_pro1229751607t_char @ wwf_J_mdecl @ P) => ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ E7 @ S4)) @ (red @ P)) => ((eval @ P @ E7 @ S4 @ E4 @ S3) => (eval @ P @ E @ S2 @ E4 @ S3))))))). % extend_1_eval
thf(fact_144_big__by__small, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val]: ((wf_pro1229751607t_char @ wwf_J_mdecl @ P) => ((eval @ P @ E @ S2 @ E4 @ S3) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ E4 @ S3)) @ (transi111096263on_val @ (red @ P)))))))). % big_by_small
thf(fact_145_extend__eval, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, S2 : produc515445032on_val, E7 : exp_list_char, S4 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val]: ((wf_pro1229751607t_char @ wwf_J_mdecl @ P) => ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ E7 @ S4)) @ (transi111096263on_val @ (red @ P))) => ((eval @ P @ E7 @ S4 @ E4 @ S3) => (eval @ P @ E @ S2 @ E4 @ S3))))))). % extend_eval
thf(fact_146_rtrancl__induct2, axiom,
    ((![Ax : nat > option2118145160on_val, Ay : list_char > option_val, Bx : nat > option2118145160on_val, By : list_char > option_val, R2 : set_Pr148564103on_val, P : (nat > option2118145160on_val) > (list_char > option_val) > $o]: ((member2027247312on_val @ (produc2106877847on_val @ (produc52622304on_val @ Ax @ Ay) @ (produc52622304on_val @ Bx @ By)) @ (transi432893227on_val @ R2)) => ((P @ Ax @ Ay) => ((![A : nat > option2118145160on_val, B3 : list_char > option_val, Aa2 : nat > option2118145160on_val, Ba : list_char > option_val]: ((member2027247312on_val @ (produc2106877847on_val @ (produc52622304on_val @ Ax @ Ay) @ (produc52622304on_val @ A @ B3)) @ (transi432893227on_val @ R2)) => ((member2027247312on_val @ (produc2106877847on_val @ (produc52622304on_val @ A @ B3) @ (produc52622304on_val @ Aa2 @ Ba)) @ R2) => ((P @ A @ B3) => (P @ Aa2 @ Ba))))) => (P @ Bx @ By))))))). % rtrancl_induct2
thf(fact_147_rtrancl__induct2, axiom,
    ((![Ax : produc1097884484on_val, Ay : produc1097884484on_val, Bx : produc1097884484on_val, By : produc1097884484on_val, R2 : set_Pr1368603847on_val, P : produc1097884484on_val > produc1097884484on_val > $o]: ((member208988944on_val @ (produc564964183on_val @ (produc1069526295on_val @ Ax @ Ay) @ (produc1069526295on_val @ Bx @ By)) @ (transi100378922on_val @ R2)) => ((P @ Ax @ Ay) => ((![A : produc1097884484on_val, B3 : produc1097884484on_val, Aa2 : produc1097884484on_val, Ba : produc1097884484on_val]: ((member208988944on_val @ (produc564964183on_val @ (produc1069526295on_val @ Ax @ Ay) @ (produc1069526295on_val @ A @ B3)) @ (transi100378922on_val @ R2)) => ((member208988944on_val @ (produc564964183on_val @ (produc1069526295on_val @ A @ B3) @ (produc1069526295on_val @ Aa2 @ Ba)) @ R2) => ((P @ A @ B3) => (P @ Aa2 @ Ba))))) => (P @ Bx @ By))))))). % rtrancl_induct2
thf(fact_148_rtrancl__induct2, axiom,
    ((![Ax : exp_list_char, Ay : produc515445032on_val, Bx : exp_list_char, By : produc515445032on_val, R2 : set_Pr1189492743on_val, P : exp_list_char > produc515445032on_val > $o]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ Ax @ Ay) @ (produc2023458740on_val @ Bx @ By)) @ (transi111096263on_val @ R2)) => ((P @ Ax @ Ay) => ((![A : exp_list_char, B3 : produc515445032on_val, Aa2 : exp_list_char, Ba : produc515445032on_val]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ Ax @ Ay) @ (produc2023458740on_val @ A @ B3)) @ (transi111096263on_val @ R2)) => ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ A @ B3) @ (produc2023458740on_val @ Aa2 @ Ba)) @ R2) => ((P @ A @ B3) => (P @ Aa2 @ Ba))))) => (P @ Bx @ By))))))). % rtrancl_induct2
thf(fact_149_converse__rtranclE2, axiom,
    ((![Xa : nat > option2118145160on_val, Xb : list_char > option_val, Za : nat > option2118145160on_val, Zb : list_char > option_val, R2 : set_Pr148564103on_val]: ((member2027247312on_val @ (produc2106877847on_val @ (produc52622304on_val @ Xa @ Xb) @ (produc52622304on_val @ Za @ Zb)) @ (transi432893227on_val @ R2)) => ((~ (((produc52622304on_val @ Xa @ Xb) = (produc52622304on_val @ Za @ Zb)))) => (~ ((![A : nat > option2118145160on_val, B3 : list_char > option_val]: ((member2027247312on_val @ (produc2106877847on_val @ (produc52622304on_val @ Xa @ Xb) @ (produc52622304on_val @ A @ B3)) @ R2) => (~ ((member2027247312on_val @ (produc2106877847on_val @ (produc52622304on_val @ A @ B3) @ (produc52622304on_val @ Za @ Zb)) @ (transi432893227on_val @ R2))))))))))))). % converse_rtranclE2
thf(fact_150_converse__rtranclE2, axiom,
    ((![Xa : produc1097884484on_val, Xb : produc1097884484on_val, Za : produc1097884484on_val, Zb : produc1097884484on_val, R2 : set_Pr1368603847on_val]: ((member208988944on_val @ (produc564964183on_val @ (produc1069526295on_val @ Xa @ Xb) @ (produc1069526295on_val @ Za @ Zb)) @ (transi100378922on_val @ R2)) => ((~ (((produc1069526295on_val @ Xa @ Xb) = (produc1069526295on_val @ Za @ Zb)))) => (~ ((![A : produc1097884484on_val, B3 : produc1097884484on_val]: ((member208988944on_val @ (produc564964183on_val @ (produc1069526295on_val @ Xa @ Xb) @ (produc1069526295on_val @ A @ B3)) @ R2) => (~ ((member208988944on_val @ (produc564964183on_val @ (produc1069526295on_val @ A @ B3) @ (produc1069526295on_val @ Za @ Zb)) @ (transi100378922on_val @ R2))))))))))))). % converse_rtranclE2
thf(fact_151_converse__rtranclE2, axiom,
    ((![Xa : exp_list_char, Xb : produc515445032on_val, Za : exp_list_char, Zb : produc515445032on_val, R2 : set_Pr1189492743on_val]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ Xa @ Xb) @ (produc2023458740on_val @ Za @ Zb)) @ (transi111096263on_val @ R2)) => ((~ (((produc2023458740on_val @ Xa @ Xb) = (produc2023458740on_val @ Za @ Zb)))) => (~ ((![A : exp_list_char, B3 : produc515445032on_val]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ Xa @ Xb) @ (produc2023458740on_val @ A @ B3)) @ R2) => (~ ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ A @ B3) @ (produc2023458740on_val @ Za @ Zb)) @ (transi111096263on_val @ R2))))))))))))). % converse_rtranclE2
thf(fact_152_wf__prog__wwf__prog, axiom,
    ((![P : list_P1234162913t_char]: ((wf_pro1229751607t_char @ wf_J_mdecl @ P) => (wf_pro1229751607t_char @ wwf_J_mdecl @ P))))). % wf_prog_wwf_prog
thf(fact_153_wf__mdecl__wwf__mdecl, axiom,
    ((![P : list_P1234162913t_char, C : list_char, Md : produc1259892823t_char]: ((wf_J_mdecl @ P @ C @ Md) => (wwf_J_mdecl @ P @ C @ Md))))). % wf_mdecl_wwf_mdecl
thf(fact_154_BlockRedsFinal, axiom,
    ((![E_02 : exp_list_char, S_0 : produc515445032on_val, E_2 : exp_list_char, H_2 : nat > option2118145160on_val, L_2 : list_char > option_val, P : list_P1234162913t_char, H_02 : nat > option2118145160on_val, L_02 : list_char > option_val, V3 : list_char, T : ty]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E_02 @ S_0) @ (produc2023458740on_val @ E_2 @ (produc52622304on_val @ H_2 @ L_2))) @ (transi111096263on_val @ (red @ P))) => ((final_list_char @ E_2) => ((S_0 = (produc52622304on_val @ H_02 @ (fun_up1252458416on_val @ L_02 @ V3 @ none_val))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (block_list_char @ V3 @ T @ E_02) @ (produc52622304on_val @ H_02 @ L_02)) @ (produc2023458740on_val @ E_2 @ (produc52622304on_val @ H_2 @ (fun_up1252458416on_val @ L_2 @ V3 @ (L_02 @ V3))))) @ (transi111096263on_val @ (red @ P))))))))). % BlockRedsFinal
thf(fact_155_CastRedsNull, axiom,
    ((![E : exp_list_char, S2 : produc515445032on_val, S3 : produc515445032on_val, P : list_P1234162913t_char, C : list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ (val_list_char @ null) @ S3)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (cast_list_char @ C @ E) @ S2) @ (produc2023458740on_val @ (val_list_char @ null) @ S3)) @ (transi111096263on_val @ (red @ P))))))). % CastRedsNull
thf(fact_156_exp_Oinject_I2_J, axiom,
    ((![X21 : list_char, X22 : exp_list_char, Y21 : list_char, Y22 : exp_list_char]: (((cast_list_char @ X21 @ X22) = (cast_list_char @ Y21 @ Y22)) = (((X21 = Y21)) & ((X22 = Y22))))))). % exp.inject(2)
thf(fact_157_red__reds_OCastRed, axiom,
    ((![E : exp_list_char, S2 : produc515445032on_val, E4 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char, C : list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ S2) @ (produc2023458740on_val @ E4 @ S3)) @ (red @ P)) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (cast_list_char @ C @ E) @ S2) @ (produc2023458740on_val @ (cast_list_char @ C @ E4) @ S3)) @ (red @ P)))))). % red_reds.CastRed
thf(fact_158_exp_Odistinct_I37_J, axiom,
    ((![X21 : list_char, X22 : exp_list_char, X71 : exp_list_char, X72 : list_char, X73 : list_char]: (~ (((cast_list_char @ X21 @ X22) = (fAcc_list_char @ X71 @ X72 @ X73))))))). % exp.distinct(37)
thf(fact_159_exp_Odistinct_I39_J, axiom,
    ((![X21 : list_char, X22 : exp_list_char, X81 : exp_list_char, X82 : list_char, X83 : list_char, X84 : exp_list_char]: (~ (((cast_list_char @ X21 @ X22) = (fAss_list_char @ X81 @ X82 @ X83 @ X84))))))). % exp.distinct(39)
thf(fact_160_eval__evals_OCastThrow, axiom,
    ((![P : list_P1234162913t_char, E : exp_list_char, S_0 : produc515445032on_val, E4 : exp_list_char, S_1 : produc515445032on_val, C : list_char]: ((eval @ P @ E @ S_0 @ (throw_list_char @ E4) @ S_1) => (eval @ P @ (cast_list_char @ C @ E) @ S_0 @ (throw_list_char @ E4) @ S_1))))). % eval_evals.CastThrow
thf(fact_161_redp__redsp_OCastThrow, axiom,
    ((![P : list_P1234162913t_char, C : list_char, E : exp_list_char, S2 : produc515445032on_val]: (redp @ P @ (cast_list_char @ C @ (throw_list_char @ E)) @ S2 @ (throw_list_char @ E) @ S2)))). % redp_redsp.CastThrow
thf(fact_162_exp_Odistinct_I1_J, axiom,
    ((![X1 : list_char, X21 : list_char, X22 : exp_list_char]: (~ (((new_list_char @ X1) = (cast_list_char @ X21 @ X22))))))). % exp.distinct(1)
thf(fact_163_exp_Odistinct_I43_J, axiom,
    ((![X21 : list_char, X22 : exp_list_char, X101 : list_char, X102 : ty, X103 : exp_list_char]: (~ (((cast_list_char @ X21 @ X22) = (block_list_char @ X101 @ X102 @ X103))))))). % exp.distinct(43)

% Conjectures (1)
thf(conj_0, conjecture,
    ((?[T2 : ty]: ((wTrt @ p @ ha @ e @ (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ outOfMemory)))) @ T2) & (widen_917054840t_char @ p @ T2 @ t))))).
