% 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_392__5338576_1 ) ; }
% This file was generated by Isabelle (most likely Sledgehammer)
% 2020-12-16 14:21:24.677

% Could-be-implicit typings (15)
thf(ty_n_t__Set__Oset_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_J, type,
    set_Pr1189492743on_val : $tType).
thf(ty_n_t__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,
    produc1172664615on_val : $tType).
thf(ty_n_t__List__Olist_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__Product____Type__Oprod_It__List__Olist_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__Type__Oty_J_J_Mt__List__Olist_It__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__Product____Type__Oprod_It__List__Olist_It__Type__Oty_J_Mt__Product____Type__Oprod_It__Type__Oty_Mt__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_J_J_J_J_J_J_J_J, type,
    list_P1234162913t_char : $tType).
thf(ty_n_t__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,
    produc1097884484on_val : $tType).
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,
    produc515445032on_val : $tType).
thf(ty_n_t__Product____Type__Oprod_It__List__Olist_It__String__Ochar_J_Mt__Product____Type__Oprod_It__List__Olist_It__Type__Oty_J_Mt__Product____Type__Oprod_It__Type__Oty_Mt__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_J_J_J, type,
    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__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).
thf(ty_n_t__Int__Oint, type,
    int : $tType).

% Explicit typings (55)
thf(sy_c_BigStep_Ofinal_001t__List__Olist_It__String__Ochar_J, type,
    final_list_char : exp_list_char > $o).
thf(sy_c_Conform_Oconf_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,
    conf_P93989998t_char : list_P1234162913t_char > (nat > option2118145160on_val) > val > ty > $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,
    nullPointer : 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_OCond_001t__List__Olist_It__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_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_Othrow_001t__List__Olist_It__String__Ochar_J, type,
    throw_list_char : exp_list_char > exp_list_char).
thf(sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat, type,
    zero_zero_nat : nat).
thf(sy_c_JWellForm_Owf__J__mdecl, type,
    wf_J_mdecl : list_P1234162913t_char > list_char > produc1259892823t_char > $o).
thf(sy_c_Nat_Osize__class_Osize_001t__Type__Oty, type,
    size_size_ty : ty > nat).
thf(sy_c_Nat_Osize__class_Osize_001t__Value__Oval, type,
    size_size_val : val > nat).
thf(sy_c_Objects_Ohext, type,
    hext : (nat > option2118145160on_val) > (nat > option2118145160on_val) > $o).
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_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_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_State_Ohp, type,
    hp : produc515445032on_val > nat > option2118145160on_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_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_Oty_ONT, type,
    nt : ty).
thf(sy_c_Type_Oty_OVoid, type,
    void : ty).
thf(sy_c_Type_Oty_Osize__ty, type,
    size_ty : ty > nat).
thf(sy_c_Value_Odefault__val, type,
    default_val : ty > val).
thf(sy_c_Value_Othe__Addr, type,
    the_Addr : val > nat).
thf(sy_c_Value_Othe__Intg, type,
    the_Intg : val > int).
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_OIntg, type,
    intg : int > val).
thf(sy_c_Value_Oval_ONull, type,
    null : val).
thf(sy_c_Value_Oval_OUnit, type,
    unit : val).
thf(sy_c_Value_Oval_Osize__val, type,
    size_val : val > nat).
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_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_v_D____, type,
    d : list_char).
thf(sy_v_E____, type,
    e : list_char > option_ty).
thf(sy_v_F____, type,
    f : list_char).
thf(sy_v_P, type,
    p : list_P1234162913t_char).
thf(sy_v_T_092_060_094sub_0622____, type,
    t_2 : ty).
thf(sy_v_T____, type,
    t : ty).
thf(sy_v_e_092_060_094sub_0622_H____, type,
    e_2 : exp_list_char).
thf(sy_v_e_092_060_094sub_0622____, type,
    e_22 : exp_list_char).
thf(sy_v_h_Ha____, type,
    h_a : nat > option2118145160on_val).
thf(sy_v_ha____, type,
    ha : nat > option2118145160on_val).
thf(sy_v_l_Ha____, type,
    l_a : list_char > option_val).
thf(sy_v_la____, type,
    la : list_char > option_val).
thf(sy_v_v____, type,
    v : val).

% Relevant facts (143)
thf(fact_0_null, axiom,
    ((wTrt @ p @ ha @ e @ (val_list_char @ v) @ nt))). % null
thf(fact_1_default__val_Osimps_I4_J, axiom,
    (((default_val @ nt) = null))). % default_val.simps(4)
thf(fact_2_val_Odistinct_I11_J, axiom,
    ((![X4 : int]: (~ ((null = (intg @ X4))))))). % val.distinct(11)
thf(fact_3_val_Odistinct_I1_J, axiom,
    ((~ ((unit = null))))). % val.distinct(1)
thf(fact_4_val_Odistinct_I9_J, axiom,
    ((![X3 : $o]: (~ ((null = (bool @ X3))))))). % val.distinct(9)
thf(fact_5_wt, axiom,
    ((wTrt @ p @ ha @ e @ (fAss_list_char @ (val_list_char @ v) @ f @ d @ e_22) @ t))). % wt
thf(fact_6_val_Odistinct_I13_J, axiom,
    ((![X5 : nat]: (~ ((null = (addr @ X5))))))). % val.distinct(13)
thf(fact_7_val_Osize__gen_I2_J, axiom,
    (((size_val @ null) = zero_zero_nat))). % val.size_gen(2)
thf(fact_8_local_Owf, axiom,
    ((wf_pro1229751607t_char @ wf_J_mdecl @ p))). % local.wf
thf(fact_9_val_Osize_I7_J, axiom,
    (((size_size_val @ null) = zero_zero_nat))). % val.size(7)
thf(fact_10_val_Oinject_I3_J, axiom,
    ((![X5 : nat, Y5 : nat]: (((addr @ X5) = (addr @ Y5)) = (X5 = Y5))))). % val.inject(3)
thf(fact_11_val_Oinject_I1_J, axiom,
    ((![X3 : $o, Y3 : $o]: (((bool @ X3) = (bool @ Y3)) = (X3 = Y3))))). % val.inject(1)
thf(fact_12_val_Oinject_I2_J, axiom,
    ((![X4 : int, Y4 : int]: (((intg @ X4) = (intg @ Y4)) = (X4 = Y4))))). % val.inject(2)
thf(fact_13_wt_092_060_094sub_0622, axiom,
    ((wTrt @ p @ ha @ e @ e_22 @ t_2))). % wt\<^sub>2
thf(fact_14_val_Osize_I10_J, axiom,
    ((![X5 : nat]: ((size_size_val @ (addr @ X5)) = zero_zero_nat)))). % val.size(10)
thf(fact_15_val_Osize_I9_J, axiom,
    ((![X4 : int]: ((size_size_val @ (intg @ X4)) = zero_zero_nat)))). % val.size(9)
thf(fact_16_val_Osize_I8_J, axiom,
    ((![X3 : $o]: ((size_size_val @ (bool @ X3)) = zero_zero_nat)))). % val.size(8)
thf(fact_17_val_Osize_I6_J, axiom,
    (((size_size_val @ unit) = zero_zero_nat))). % val.size(6)
thf(fact_18_val_Odistinct_I19_J, axiom,
    ((![X4 : int, X5 : nat]: (~ (((intg @ X4) = (addr @ X5))))))). % val.distinct(19)
thf(fact_19_val_Odistinct_I17_J, axiom,
    ((![X3 : $o, X5 : nat]: (~ (((bool @ X3) = (addr @ X5))))))). % val.distinct(17)
thf(fact_20_val_Odistinct_I15_J, axiom,
    ((![X3 : $o, X4 : int]: (~ (((bool @ X3) = (intg @ X4))))))). % val.distinct(15)
thf(fact_21_val_Odistinct_I7_J, axiom,
    ((![X5 : nat]: (~ ((unit = (addr @ X5))))))). % val.distinct(7)
thf(fact_22_val_Odistinct_I5_J, axiom,
    ((![X4 : int]: (~ ((unit = (intg @ X4))))))). % val.distinct(5)
thf(fact_23_val_Odistinct_I3_J, axiom,
    ((![X3 : $o]: (~ ((unit = (bool @ X3))))))). % val.distinct(3)
thf(fact_24_val_Osize__gen_I5_J, axiom,
    ((![X5 : nat]: ((size_val @ (addr @ X5)) = zero_zero_nat)))). % val.size_gen(5)
thf(fact_25_val_Osize__gen_I4_J, axiom,
    ((![X4 : int]: ((size_val @ (intg @ X4)) = zero_zero_nat)))). % val.size_gen(4)
thf(fact_26_val_Osize__gen_I3_J, axiom,
    ((![X3 : $o]: ((size_val @ (bool @ X3)) = zero_zero_nat)))). % val.size_gen(3)
thf(fact_27_val_Osize__gen_I1_J, axiom,
    (((size_val @ unit) = zero_zero_nat))). % val.size_gen(1)
thf(fact_28_val_Oinduct, axiom,
    ((![P : val > $o, Val : val]: ((P @ unit) => ((P @ null) => ((![X : $o]: (P @ (bool @ X))) => ((![X : int]: (P @ (intg @ X))) => ((![X : nat]: (P @ (addr @ X))) => (P @ Val))))))))). % val.induct
thf(fact_29_val_Oexhaust, axiom,
    ((![Y : val]: ((~ ((Y = unit))) => ((~ ((Y = null))) => ((![X32 : $o]: (~ ((Y = (bool @ X32))))) => ((![X42 : int]: (~ ((Y = (intg @ X42))))) => (~ ((![X52 : nat]: (~ ((Y = (addr @ X52)))))))))))))). % val.exhaust
thf(fact_30_FAssRed2_Oprems_I2_J, axiom,
    ((wTrt @ p @ ha @ e @ (fAss_list_char @ (val_list_char @ v) @ f @ d @ e_22) @ t))). % FAssRed2.prems(2)
thf(fact_31_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_32_the__Intg_Osimps, axiom,
    ((![I : int]: ((the_Intg @ (intg @ I)) = I)))). % the_Intg.simps
thf(fact_33_mem__Collect__eq, axiom,
    ((![A : produc1172664615on_val, P : produc1172664615on_val > $o]: ((member354538064on_val @ A @ (collec2055896722on_val @ P)) = (P @ A))))). % mem_Collect_eq
thf(fact_34_Collect__mem__eq, axiom,
    ((![A2 : set_Pr1189492743on_val]: ((collec2055896722on_val @ (^[X2 : produc1172664615on_val]: (member354538064on_val @ X2 @ A2))) = A2)))). % Collect_mem_eq
thf(fact_35_exp_Oinject_I3_J, axiom,
    ((![X3 : val, Y3 : val]: (((val_list_char @ X3) = (val_list_char @ Y3)) = (X3 = Y3))))). % exp.inject(3)
thf(fact_36_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_37_conf__Null, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, T : ty]: ((conf_P93989998t_char @ P @ H @ null @ T) = (widen_917054840t_char @ P @ nt @ T))))). % conf_Null
thf(fact_38_the__Addr_Osimps, axiom,
    ((![A : nat]: ((the_Addr @ (addr @ A)) = A)))). % the_Addr.simps
thf(fact_39__092_060open_062T_A_061_AVoid_092_060close_062, axiom,
    ((t = void))). % \<open>T = Void\<close>
thf(fact_40_conf, axiom,
    ((typeSa1777264139_sconf @ p @ e @ (produc52622304on_val @ ha @ la)))). % conf
thf(fact_41_FAssRed2_Oprems_I1_J, axiom,
    ((typeSa1777264139_sconf @ p @ e @ (produc52622304on_val @ ha @ la)))). % FAssRed2.prems(1)
thf(fact_42_conf__widen, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, V : val, T : ty, T2 : ty]: ((conf_P93989998t_char @ P @ H @ V @ T) => ((widen_917054840t_char @ P @ T @ T2) => (conf_P93989998t_char @ P @ H @ V @ T2)))))). % conf_widen
thf(fact_43_zero__reorient, axiom,
    ((![X6 : nat]: ((zero_zero_nat = X6) = (X6 = zero_zero_nat))))). % zero_reorient
thf(fact_44_default__val_Osimps_I1_J, axiom,
    (((default_val @ void) = unit))). % default_val.simps(1)
thf(fact_45_FAssRed2_Ohyps_I2_J, axiom,
    ((![E : list_char > option_ty, T : ty]: ((typeSa1777264139_sconf @ p @ E @ (produc52622304on_val @ ha @ la)) => ((wTrt @ p @ ha @ E @ e_22 @ T) => (?[T3 : ty]: ((wTrt @ p @ h_a @ E @ e_2 @ T3) & (widen_917054840t_char @ p @ T3 @ T)))))))). % FAssRed2.hyps(2)
thf(fact_46_IH, axiom,
    ((![E : list_char > option_ty, T : ty]: ((typeSa1777264139_sconf @ p @ E @ (produc52622304on_val @ ha @ la)) => ((wTrt @ p @ ha @ E @ e_22 @ T) => (?[U : ty]: ((wTrt @ p @ h_a @ E @ e_2 @ U) & (widen_917054840t_char @ p @ U @ T)))))))). % IH
thf(fact_47_WTrtFAssNT, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E_1 : exp_list_char, E_2 : exp_list_char, T_2 : ty, F : list_char, D : list_char]: ((wTrt @ P @ H @ E @ E_1 @ nt) => ((wTrt @ P @ H @ E @ E_2 @ T_2) => (wTrt @ P @ H @ E @ (fAss_list_char @ E_1 @ F @ D @ E_2) @ void)))))). % WTrtFAssNT
thf(fact_48_ty_Odistinct_I5_J, axiom,
    ((~ ((void = nt))))). % ty.distinct(5)
thf(fact_49_old_Oprod_Oinject, axiom,
    ((![A : nat > option2118145160on_val, B : list_char > option_val, A3 : nat > option2118145160on_val, B2 : list_char > option_val]: (((produc52622304on_val @ A @ B) = (produc52622304on_val @ A3 @ B2)) = (((A = A3)) & ((B = B2))))))). % old.prod.inject
thf(fact_50_old_Oprod_Oinject, axiom,
    ((![A : produc1097884484on_val, B : produc1097884484on_val, A3 : produc1097884484on_val, B2 : produc1097884484on_val]: (((produc1069526295on_val @ A @ B) = (produc1069526295on_val @ A3 @ B2)) = (((A = A3)) & ((B = B2))))))). % old.prod.inject
thf(fact_51_old_Oprod_Oinject, axiom,
    ((![A : exp_list_char, B : produc515445032on_val, A3 : exp_list_char, B2 : produc515445032on_val]: (((produc2023458740on_val @ A @ B) = (produc2023458740on_val @ A3 @ B2)) = (((A = A3)) & ((B = B2))))))). % old.prod.inject
thf(fact_52_prod_Oinject, axiom,
    ((![X1 : nat > option2118145160on_val, X22 : list_char > option_val, Y1 : nat > option2118145160on_val, Y2 : list_char > option_val]: (((produc52622304on_val @ X1 @ X22) = (produc52622304on_val @ Y1 @ Y2)) = (((X1 = Y1)) & ((X22 = Y2))))))). % prod.inject
thf(fact_53_prod_Oinject, axiom,
    ((![X1 : produc1097884484on_val, X22 : produc1097884484on_val, Y1 : produc1097884484on_val, Y2 : produc1097884484on_val]: (((produc1069526295on_val @ X1 @ X22) = (produc1069526295on_val @ Y1 @ Y2)) = (((X1 = Y1)) & ((X22 = Y2))))))). % prod.inject
thf(fact_54_prod_Oinject, axiom,
    ((![X1 : exp_list_char, X22 : produc515445032on_val, Y1 : exp_list_char, Y2 : produc515445032on_val]: (((produc2023458740on_val @ X1 @ X22) = (produc2023458740on_val @ Y1 @ Y2)) = (((X1 = Y1)) & ((X22 = Y2))))))). % prod.inject
thf(fact_55_surj__pair, axiom,
    ((![P2 : produc515445032on_val]: (?[X : nat > option2118145160on_val, Y6 : list_char > option_val]: (P2 = (produc52622304on_val @ X @ Y6)))))). % surj_pair
thf(fact_56_surj__pair, axiom,
    ((![P2 : produc1172664615on_val]: (?[X : produc1097884484on_val, Y6 : produc1097884484on_val]: (P2 = (produc1069526295on_val @ X @ Y6)))))). % surj_pair
thf(fact_57_surj__pair, axiom,
    ((![P2 : produc1097884484on_val]: (?[X : exp_list_char, Y6 : produc515445032on_val]: (P2 = (produc2023458740on_val @ X @ Y6)))))). % surj_pair
thf(fact_58_prod__cases, axiom,
    ((![P : produc515445032on_val > $o, P2 : produc515445032on_val]: ((![A4 : nat > option2118145160on_val, B3 : list_char > option_val]: (P @ (produc52622304on_val @ A4 @ B3))) => (P @ P2))))). % prod_cases
thf(fact_59_prod__cases, axiom,
    ((![P : produc1172664615on_val > $o, P2 : produc1172664615on_val]: ((![A4 : produc1097884484on_val, B3 : produc1097884484on_val]: (P @ (produc1069526295on_val @ A4 @ B3))) => (P @ P2))))). % prod_cases
thf(fact_60_prod__cases, axiom,
    ((![P : produc1097884484on_val > $o, P2 : produc1097884484on_val]: ((![A4 : exp_list_char, B3 : produc515445032on_val]: (P @ (produc2023458740on_val @ A4 @ B3))) => (P @ P2))))). % prod_cases
thf(fact_61_Pair__inject, axiom,
    ((![A : nat > option2118145160on_val, B : list_char > option_val, A3 : nat > option2118145160on_val, B2 : list_char > option_val]: (((produc52622304on_val @ A @ B) = (produc52622304on_val @ A3 @ B2)) => (~ (((A = A3) => (~ ((B = B2)))))))))). % Pair_inject
thf(fact_62_Pair__inject, axiom,
    ((![A : produc1097884484on_val, B : produc1097884484on_val, A3 : produc1097884484on_val, B2 : produc1097884484on_val]: (((produc1069526295on_val @ A @ B) = (produc1069526295on_val @ A3 @ B2)) => (~ (((A = A3) => (~ ((B = B2)))))))))). % Pair_inject
thf(fact_63_Pair__inject, axiom,
    ((![A : exp_list_char, B : produc515445032on_val, A3 : exp_list_char, B2 : produc515445032on_val]: (((produc2023458740on_val @ A @ B) = (produc2023458740on_val @ A3 @ B2)) => (~ (((A = A3) => (~ ((B = B2)))))))))). % Pair_inject
thf(fact_64_prod__cases3, axiom,
    ((![Y : produc1172664615on_val]: (~ ((![A4 : produc1097884484on_val, B3 : exp_list_char, C : produc515445032on_val]: (~ ((Y = (produc1069526295on_val @ A4 @ (produc2023458740on_val @ B3 @ C))))))))))). % prod_cases3
thf(fact_65_prod__cases3, axiom,
    ((![Y : produc1097884484on_val]: (~ ((![A4 : exp_list_char, B3 : nat > option2118145160on_val, C : list_char > option_val]: (~ ((Y = (produc2023458740on_val @ A4 @ (produc52622304on_val @ B3 @ C))))))))))). % prod_cases3
thf(fact_66_prod__cases4, axiom,
    ((![Y : produc1172664615on_val]: (~ ((![A4 : produc1097884484on_val, B3 : exp_list_char, C : nat > option2118145160on_val, D2 : list_char > option_val]: (~ ((Y = (produc1069526295on_val @ A4 @ (produc2023458740on_val @ B3 @ (produc52622304on_val @ C @ D2)))))))))))). % prod_cases4
thf(fact_67_prod__induct3, axiom,
    ((![P : produc1172664615on_val > $o, X6 : produc1172664615on_val]: ((![A4 : produc1097884484on_val, B3 : exp_list_char, C : produc515445032on_val]: (P @ (produc1069526295on_val @ A4 @ (produc2023458740on_val @ B3 @ C)))) => (P @ X6))))). % prod_induct3
thf(fact_68_prod__induct3, axiom,
    ((![P : produc1097884484on_val > $o, X6 : produc1097884484on_val]: ((![A4 : exp_list_char, B3 : nat > option2118145160on_val, C : list_char > option_val]: (P @ (produc2023458740on_val @ A4 @ (produc52622304on_val @ B3 @ C)))) => (P @ X6))))). % prod_induct3
thf(fact_69_prod__induct4, axiom,
    ((![P : produc1172664615on_val > $o, X6 : produc1172664615on_val]: ((![A4 : produc1097884484on_val, B3 : exp_list_char, C : nat > option2118145160on_val, D2 : list_char > option_val]: (P @ (produc1069526295on_val @ A4 @ (produc2023458740on_val @ B3 @ (produc52622304on_val @ C @ D2))))) => (P @ X6))))). % prod_induct4
thf(fact_70_old_Oprod_Oexhaust, axiom,
    ((![Y : produc515445032on_val]: (~ ((![A4 : nat > option2118145160on_val, B3 : list_char > option_val]: (~ ((Y = (produc52622304on_val @ A4 @ B3)))))))))). % old.prod.exhaust
thf(fact_71_old_Oprod_Oexhaust, axiom,
    ((![Y : produc1172664615on_val]: (~ ((![A4 : produc1097884484on_val, B3 : produc1097884484on_val]: (~ ((Y = (produc1069526295on_val @ A4 @ B3)))))))))). % old.prod.exhaust
thf(fact_72_old_Oprod_Oexhaust, axiom,
    ((![Y : produc1097884484on_val]: (~ ((![A4 : exp_list_char, B3 : produc515445032on_val]: (~ ((Y = (produc2023458740on_val @ A4 @ B3)))))))))). % old.prod.exhaust
thf(fact_73_old_Oprod_Oinducts, axiom,
    ((![P : produc515445032on_val > $o, Prod : produc515445032on_val]: ((![A4 : nat > option2118145160on_val, B3 : list_char > option_val]: (P @ (produc52622304on_val @ A4 @ B3))) => (P @ Prod))))). % old.prod.inducts
thf(fact_74_old_Oprod_Oinducts, axiom,
    ((![P : produc1172664615on_val > $o, Prod : produc1172664615on_val]: ((![A4 : produc1097884484on_val, B3 : produc1097884484on_val]: (P @ (produc1069526295on_val @ A4 @ B3))) => (P @ Prod))))). % old.prod.inducts
thf(fact_75_old_Oprod_Oinducts, axiom,
    ((![P : produc1097884484on_val > $o, Prod : produc1097884484on_val]: ((![A4 : exp_list_char, B3 : produc515445032on_val]: (P @ (produc2023458740on_val @ A4 @ B3))) => (P @ Prod))))). % old.prod.inducts
thf(fact_76_red, axiom,
    ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ e_22 @ (produc52622304on_val @ ha @ la)) @ (produc2023458740on_val @ e_2 @ (produc52622304on_val @ h_a @ l_a))) @ (red @ p)))). % red
thf(fact_77_ty_Osize__gen_I4_J, axiom,
    (((size_ty @ nt) = zero_zero_nat))). % ty.size_gen(4)
thf(fact_78_ty_Osize__gen_I1_J, axiom,
    (((size_ty @ void) = zero_zero_nat))). % ty.size_gen(1)
thf(fact_79_ty_Osize_I9_J, axiom,
    (((size_size_ty @ nt) = zero_zero_nat))). % ty.size(9)
thf(fact_80_ty_Osize_I6_J, axiom,
    (((size_size_ty @ void) = zero_zero_nat))). % ty.size(6)
thf(fact_81_red__reds_OFAssRed2, axiom,
    ((![E2 : exp_list_char, S : produc515445032on_val, E3 : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char, V : val, F : list_char, D : list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S) @ (produc2023458740on_val @ E3 @ S2)) @ (red @ P)) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ (val_list_char @ V) @ F @ D @ E2) @ S) @ (produc2023458740on_val @ (fAss_list_char @ (val_list_char @ V) @ F @ D @ E3) @ S2)) @ (red @ P)))))). % red_reds.FAssRed2
thf(fact_82_red__reds_OFAssRed1, axiom,
    ((![E2 : exp_list_char, S : produc515445032on_val, E3 : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char, F : list_char, D : list_char, E_2 : exp_list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S) @ (produc2023458740on_val @ E3 @ S2)) @ (red @ P)) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ E2 @ F @ D @ E_2) @ S) @ (produc2023458740on_val @ (fAss_list_char @ E3 @ F @ D @ E_2) @ S2)) @ (red @ P)))))). % red_reds.FAssRed1
thf(fact_83_red__preserves__hconf, axiom,
    ((![E2 : exp_list_char, H : nat > option2118145160on_val, L : list_char > option_val, E3 : exp_list_char, H2 : nat > option2118145160on_val, L2 : list_char > option_val, P : list_P1234162913t_char, E : list_char > option_ty, T : ty]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ (produc52622304on_val @ H @ L)) @ (produc2023458740on_val @ E3 @ (produc52622304on_val @ H2 @ L2))) @ (red @ P)) => ((wTrt @ P @ H @ E @ E2 @ T) => ((hconf_1244167010t_char @ P @ H) => (hconf_1244167010t_char @ P @ H2))))))). % red_preserves_hconf
thf(fact_84_red__preserves__lconf, axiom,
    ((![E2 : exp_list_char, H : nat > option2118145160on_val, L : list_char > option_val, E3 : exp_list_char, H2 : nat > option2118145160on_val, L2 : list_char > option_val, P : list_P1234162913t_char, E : list_char > option_ty, T : ty]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ (produc52622304on_val @ H @ L)) @ (produc2023458740on_val @ E3 @ (produc52622304on_val @ H2 @ L2))) @ (red @ P)) => ((wTrt @ P @ H @ E @ E2 @ T) => ((lconf_485928294t_char @ P @ H @ L @ E) => (lconf_485928294t_char @ P @ H2 @ L2 @ E))))))). % red_preserves_lconf
thf(fact_85_red__preserves__sconf, axiom,
    ((![E2 : exp_list_char, S : produc515445032on_val, E3 : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char, E : list_char > option_ty, T : ty]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S) @ (produc2023458740on_val @ E3 @ S2)) @ (red @ P)) => ((wTrt @ P @ (hp @ S) @ E @ E2 @ T) => ((typeSa1777264139_sconf @ P @ E @ S) => (typeSa1777264139_sconf @ P @ E @ S2))))))). % red_preserves_sconf
thf(fact_86_red__hext__incr, axiom,
    ((![E2 : exp_list_char, H : nat > option2118145160on_val, L : list_char > option_val, E3 : exp_list_char, H2 : nat > option2118145160on_val, L2 : list_char > option_val, P : list_P1234162913t_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ (produc52622304on_val @ H @ L)) @ (produc2023458740on_val @ E3 @ (produc52622304on_val @ H2 @ L2))) @ (red @ P)) => (hext @ H @ H2))))). % red_hext_incr
thf(fact_87_WTrt__hext__mono, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E2 : exp_list_char, T : ty, H2 : nat > option2118145160on_val]: ((wTrt @ P @ H @ E @ E2 @ T) => ((hext @ H @ H2) => (wTrt @ P @ H2 @ E @ E2 @ T)))))). % WTrt_hext_mono
thf(fact_88_lconf__hext, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, L : list_char > option_val, E : list_char > option_ty, H2 : nat > option2118145160on_val]: ((lconf_485928294t_char @ P @ H @ L @ E) => ((hext @ H @ H2) => (lconf_485928294t_char @ P @ H2 @ L @ E)))))). % lconf_hext
thf(fact_89_red__reds_OFAssThrow2, axiom,
    ((![V : val, F : list_char, D : list_char, E2 : exp_list_char, S : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ (val_list_char @ V) @ F @ D @ (throw_list_char @ E2)) @ S) @ (produc2023458740on_val @ (throw_list_char @ E2) @ S)) @ (red @ P))))). % red_reds.FAssThrow2
thf(fact_90_red__reds_ORedCastNull, axiom,
    ((![C2 : list_char, S : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (cast_list_char @ C2 @ (val_list_char @ null)) @ S) @ (produc2023458740on_val @ (val_list_char @ null) @ S)) @ (red @ P))))). % red_reds.RedCastNull
thf(fact_91_red__reds_ORedCondF, axiom,
    ((![E_1 : exp_list_char, E_2 : exp_list_char, S : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (cond_list_char @ (val_list_char @ (bool @ $false)) @ E_1 @ E_2) @ S) @ (produc2023458740on_val @ E_2 @ S)) @ (red @ P))))). % red_reds.RedCondF
thf(fact_92_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_93_exp_Oinject_I12_J, axiom,
    ((![X121 : exp_list_char, X122 : exp_list_char, X123 : exp_list_char, Y121 : exp_list_char, Y122 : exp_list_char, Y123 : exp_list_char]: (((cond_list_char @ X121 @ X122 @ X123) = (cond_list_char @ Y121 @ Y122 @ Y123)) = (((X121 = Y121)) & ((((X122 = Y122)) & ((X123 = Y123))))))))). % exp.inject(12)
thf(fact_94_exp_Oinject_I2_J, axiom,
    ((![X21 : list_char, X222 : exp_list_char, Y21 : list_char, Y22 : exp_list_char]: (((cast_list_char @ X21 @ X222) = (cast_list_char @ Y21 @ Y22)) = (((X21 = Y21)) & ((X222 = Y22))))))). % exp.inject(2)
thf(fact_95_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_96_exp_Odistinct_I161_J, axiom,
    ((![X81 : exp_list_char, X82 : list_char, X83 : list_char, X84 : exp_list_char, X121 : exp_list_char, X122 : exp_list_char, X123 : exp_list_char]: (~ (((fAss_list_char @ X81 @ X82 @ X83 @ X84) = (cond_list_char @ X121 @ X122 @ X123))))))). % exp.distinct(161)
thf(fact_97_exp_Odistinct_I39_J, axiom,
    ((![X21 : list_char, X222 : exp_list_char, X81 : exp_list_char, X82 : list_char, X83 : list_char, X84 : exp_list_char]: (~ (((cast_list_char @ X21 @ X222) = (fAss_list_char @ X81 @ X82 @ X83 @ X84))))))). % exp.distinct(39)
thf(fact_98_exp_Odistinct_I47_J, axiom,
    ((![X21 : list_char, X222 : exp_list_char, X121 : exp_list_char, X122 : exp_list_char, X123 : exp_list_char]: (~ (((cast_list_char @ X21 @ X222) = (cond_list_char @ X121 @ X122 @ X123))))))). % exp.distinct(47)
thf(fact_99_exp_Odistinct_I51_J, axiom,
    ((![X21 : list_char, X222 : exp_list_char, X14 : exp_list_char]: (~ (((cast_list_char @ X21 @ X222) = (throw_list_char @ X14))))))). % exp.distinct(51)
thf(fact_100_exp_Odistinct_I201_J, axiom,
    ((![X121 : exp_list_char, X122 : exp_list_char, X123 : exp_list_char, X14 : exp_list_char]: (~ (((cond_list_char @ X121 @ X122 @ X123) = (throw_list_char @ X14))))))). % exp.distinct(201)
thf(fact_101_exp_Odistinct_I29_J, axiom,
    ((![X21 : list_char, X222 : exp_list_char, X3 : val]: (~ (((cast_list_char @ X21 @ X222) = (val_list_char @ X3))))))). % exp.distinct(29)
thf(fact_102_exp_Odistinct_I71_J, axiom,
    ((![X3 : val, X121 : exp_list_char, X122 : exp_list_char, X123 : exp_list_char]: (~ (((val_list_char @ X3) = (cond_list_char @ X121 @ X122 @ X123))))))). % exp.distinct(71)
thf(fact_103_exp_Odistinct_I75_J, axiom,
    ((![X3 : val, X14 : exp_list_char]: (~ (((val_list_char @ X3) = (throw_list_char @ X14))))))). % exp.distinct(75)
thf(fact_104_red__reds_OCastThrow, axiom,
    ((![C2 : list_char, E2 : exp_list_char, S : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (cast_list_char @ C2 @ (throw_list_char @ E2)) @ S) @ (produc2023458740on_val @ (throw_list_char @ E2) @ S)) @ (red @ P))))). % red_reds.CastThrow
thf(fact_105_red__reds_OCondThrow, axiom,
    ((![E2 : exp_list_char, E_1 : exp_list_char, E_2 : exp_list_char, S : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (cond_list_char @ (throw_list_char @ E2) @ E_1 @ E_2) @ S) @ (produc2023458740on_val @ (throw_list_char @ E2) @ S)) @ (red @ P))))). % red_reds.CondThrow
thf(fact_106_red__reds_OCondRed, axiom,
    ((![E2 : exp_list_char, S : produc515445032on_val, E3 : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char, E_1 : exp_list_char, E_2 : exp_list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S) @ (produc2023458740on_val @ E3 @ S2)) @ (red @ P)) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (cond_list_char @ E2 @ E_1 @ E_2) @ S) @ (produc2023458740on_val @ (cond_list_char @ E3 @ E_1 @ E_2) @ S2)) @ (red @ P)))))). % red_reds.CondRed
thf(fact_107_red__reds_OCastRed, axiom,
    ((![E2 : exp_list_char, S : produc515445032on_val, E3 : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char, C2 : list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S) @ (produc2023458740on_val @ E3 @ S2)) @ (red @ P)) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (cast_list_char @ C2 @ E2) @ S) @ (produc2023458740on_val @ (cast_list_char @ C2 @ E3) @ S2)) @ (red @ P)))))). % red_reds.CastRed
thf(fact_108_red__reds_OThrowRed, axiom,
    ((![E2 : exp_list_char, S : produc515445032on_val, E3 : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S) @ (produc2023458740on_val @ E3 @ S2)) @ (red @ P)) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (throw_list_char @ E2) @ S) @ (produc2023458740on_val @ (throw_list_char @ E3) @ S2)) @ (red @ P)))))). % red_reds.ThrowRed
thf(fact_109_red__reds_OThrowThrow, axiom,
    ((![E2 : exp_list_char, S : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (throw_list_char @ (throw_list_char @ E2)) @ S) @ (produc2023458740on_val @ (throw_list_char @ E2) @ S)) @ (red @ P))))). % red_reds.ThrowThrow
thf(fact_110_red__reds_OFAssThrow1, axiom,
    ((![E2 : exp_list_char, F : list_char, D : list_char, E_2 : exp_list_char, S : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ (throw_list_char @ E2) @ F @ D @ E_2) @ S) @ (produc2023458740on_val @ (throw_list_char @ E2) @ S)) @ (red @ P))))). % red_reds.FAssThrow1
thf(fact_111_red__reds_ORedCondT, axiom,
    ((![E_1 : exp_list_char, E_2 : exp_list_char, S : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (cond_list_char @ (val_list_char @ (bool @ $true)) @ E_1 @ E_2) @ S) @ (produc2023458740on_val @ E_1 @ S)) @ (red @ P))))). % red_reds.RedCondT
thf(fact_112_red__reds_OBlockThrow, axiom,
    ((![V2 : list_char, T : ty, A : nat, S : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (block_list_char @ V2 @ T @ (throw_list_char @ (val_list_char @ (addr @ A)))) @ S) @ (produc2023458740on_val @ (throw_list_char @ (val_list_char @ (addr @ A))) @ S)) @ (red @ P))))). % red_reds.BlockThrow
thf(fact_113_red__reds_ORedFAssNull, axiom,
    ((![F : list_char, D : list_char, V : val, S : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ (val_list_char @ null) @ F @ D @ (val_list_char @ V)) @ S) @ (produc2023458740on_val @ (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ nullPointer)))) @ S)) @ (red @ P))))). % red_reds.RedFAssNull
thf(fact_114_final__def, axiom,
    ((final_list_char = (^[E4 : exp_list_char]: (((?[V3 : val]: (E4 = (val_list_char @ V3)))) | ((?[A5 : nat]: (E4 = (throw_list_char @ (val_list_char @ (addr @ A5))))))))))). % final_def
thf(fact_115_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_116_exp_Odistinct_I43_J, axiom,
    ((![X21 : list_char, X222 : exp_list_char, X101 : list_char, X102 : ty, X103 : exp_list_char]: (~ (((cast_list_char @ X21 @ X222) = (block_list_char @ X101 @ X102 @ X103))))))). % exp.distinct(43)
thf(fact_117_exp_Odistinct_I183_J, axiom,
    ((![X101 : list_char, X102 : ty, X103 : exp_list_char, X121 : exp_list_char, X122 : exp_list_char, X123 : exp_list_char]: (~ (((block_list_char @ X101 @ X102 @ X103) = (cond_list_char @ X121 @ X122 @ X123))))))). % exp.distinct(183)
thf(fact_118_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_119_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_120_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_121_red__reds_ORedBlock, axiom,
    ((![V2 : list_char, T : ty, U2 : val, S : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (block_list_char @ V2 @ T @ (val_list_char @ U2)) @ S) @ (produc2023458740on_val @ (val_list_char @ U2) @ S)) @ (red @ P))))). % red_reds.RedBlock
thf(fact_122_red__reds_ORedThrowNull, axiom,
    ((![S : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (throw_list_char @ (val_list_char @ null)) @ S) @ (produc2023458740on_val @ (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ nullPointer)))) @ S)) @ (red @ P))))). % red_reds.RedThrowNull
thf(fact_123_finalE, axiom,
    ((![E2 : exp_list_char]: ((final_list_char @ E2) => ((![V4 : val]: (~ ((E2 = (val_list_char @ V4))))) => (~ ((![A4 : nat]: (~ ((E2 = (throw_list_char @ (val_list_char @ (addr @ A4)))))))))))))). % finalE
thf(fact_124_red__reds_ORedFAccNull, axiom,
    ((![F : list_char, D : list_char, S : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAcc_list_char @ (val_list_char @ null) @ F @ D) @ S) @ (produc2023458740on_val @ (throw_list_char @ (val_list_char @ (addr @ (addr_of_sys_xcpt @ nullPointer)))) @ S)) @ (red @ P))))). % red_reds.RedFAccNull
thf(fact_125_FAssRedsNull, axiom,
    ((![E_1 : exp_list_char, S_0 : produc515445032on_val, S_1 : produc515445032on_val, P : list_P1234162913t_char, E_2 : exp_list_char, V : val, S_2 : produc515445032on_val, F : list_char, D : 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 @ V) @ S_2)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ E_1 @ F @ D @ 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_126_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_127_FAccRedsThrow, axiom,
    ((![E2 : exp_list_char, S : produc515445032on_val, A : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char, F : list_char, D : list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S) @ (produc2023458740on_val @ (throw_list_char @ A) @ S2)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAcc_list_char @ E2 @ F @ D) @ S) @ (produc2023458740on_val @ (throw_list_char @ A) @ S2)) @ (transi111096263on_val @ (red @ P))))))). % FAccRedsThrow
thf(fact_128_exp_Odistinct_I37_J, axiom,
    ((![X21 : list_char, X222 : exp_list_char, X71 : exp_list_char, X72 : list_char, X73 : list_char]: (~ (((cast_list_char @ X21 @ X222) = (fAcc_list_char @ X71 @ X72 @ X73))))))). % exp.distinct(37)
thf(fact_129_exp_Odistinct_I147_J, axiom,
    ((![X71 : exp_list_char, X72 : list_char, X73 : list_char, X121 : exp_list_char, X122 : exp_list_char, X123 : exp_list_char]: (~ (((fAcc_list_char @ X71 @ X72 @ X73) = (cond_list_char @ X121 @ X122 @ X123))))))). % exp.distinct(147)
thf(fact_130_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_131_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_132_WTrtFAccNT, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E2 : exp_list_char, F : list_char, D : list_char, T : ty]: ((wTrt @ P @ H @ E @ E2 @ nt) => (wTrt @ P @ H @ E @ (fAcc_list_char @ E2 @ F @ D) @ T))))). % WTrtFAccNT
thf(fact_133_FAccReds, axiom,
    ((![E2 : exp_list_char, S : produc515445032on_val, E3 : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char, F : list_char, D : list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S) @ (produc2023458740on_val @ E3 @ S2)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAcc_list_char @ E2 @ F @ D) @ S) @ (produc2023458740on_val @ (fAcc_list_char @ E3 @ F @ D) @ S2)) @ (transi111096263on_val @ (red @ P))))))). % FAccReds
thf(fact_134_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_135_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_136_ThrowRedsThrow, axiom,
    ((![E2 : exp_list_char, S : produc515445032on_val, A : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S) @ (produc2023458740on_val @ (throw_list_char @ A) @ S2)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (throw_list_char @ E2) @ S) @ (produc2023458740on_val @ (throw_list_char @ A) @ S2)) @ (transi111096263on_val @ (red @ P))))))). % ThrowRedsThrow
thf(fact_137_ThrowReds, axiom,
    ((![E2 : exp_list_char, S : produc515445032on_val, E3 : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S) @ (produc2023458740on_val @ E3 @ S2)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (throw_list_char @ E2) @ S) @ (produc2023458740on_val @ (throw_list_char @ E3) @ S2)) @ (transi111096263on_val @ (red @ P))))))). % ThrowReds
thf(fact_138_FAssReds1, axiom,
    ((![E2 : exp_list_char, S : produc515445032on_val, E3 : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char, F : list_char, D : list_char, E_2 : exp_list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S) @ (produc2023458740on_val @ E3 @ S2)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ E2 @ F @ D @ E_2) @ S) @ (produc2023458740on_val @ (fAss_list_char @ E3 @ F @ D @ E_2) @ S2)) @ (transi111096263on_val @ (red @ P))))))). % FAssReds1
thf(fact_139_CondReds, axiom,
    ((![E2 : exp_list_char, S : produc515445032on_val, E3 : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char, E_1 : exp_list_char, E_2 : exp_list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S) @ (produc2023458740on_val @ E3 @ S2)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (cond_list_char @ E2 @ E_1 @ E_2) @ S) @ (produc2023458740on_val @ (cond_list_char @ E3 @ E_1 @ E_2) @ S2)) @ (transi111096263on_val @ (red @ P))))))). % CondReds
thf(fact_140_CastReds, axiom,
    ((![E2 : exp_list_char, S : produc515445032on_val, E3 : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char, C2 : list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S) @ (produc2023458740on_val @ E3 @ S2)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (cast_list_char @ C2 @ E2) @ S) @ (produc2023458740on_val @ (cast_list_char @ C2 @ E3) @ S2)) @ (transi111096263on_val @ (red @ P))))))). % CastReds
thf(fact_141_red__reds_OFAccRed, axiom,
    ((![E2 : exp_list_char, S : produc515445032on_val, E3 : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char, F : list_char, D : list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S) @ (produc2023458740on_val @ E3 @ S2)) @ (red @ P)) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAcc_list_char @ E2 @ F @ D) @ S) @ (produc2023458740on_val @ (fAcc_list_char @ E3 @ F @ D) @ S2)) @ (red @ P)))))). % red_reds.FAccRed
thf(fact_142_FAssReds2, axiom,
    ((![E2 : exp_list_char, S : produc515445032on_val, E3 : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char, V : val, F : list_char, D : list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S) @ (produc2023458740on_val @ E3 @ S2)) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ (val_list_char @ V) @ F @ D @ E2) @ S) @ (produc2023458740on_val @ (fAss_list_char @ (val_list_char @ V) @ F @ D @ E3) @ S2)) @ (transi111096263on_val @ (red @ P))))))). % FAssReds2

% Conjectures (1)
thf(conj_0, conjecture,
    ((v = null))).
