% 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_122__5334856_1 ) ; }
% This file was generated by Isabelle (most likely Sledgehammer)
% 2020-12-16 14:19:28.835

% Could-be-implicit typings (13)
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__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__Option__Ooption_It__Set__Oset_It__List__Olist_It__String__Ochar_J_J_J, type,
    option_set_list_char : $tType).
thf(ty_n_t__Expr__Oexp_It__List__Olist_It__String__Ochar_J_J, type,
    exp_list_char : $tType).
thf(ty_n_t__Set__Oset_It__List__Olist_It__String__Ochar_J_J, type,
    set_list_char : $tType).
thf(ty_n_t__Option__Ooption_It__Value__Oval_J, type,
    option_val : $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__Nat__Onat, type,
    nat : $tType).

% Explicit typings (33)
thf(sy_c_DefAss_O_092_060A_062_001t__List__Olist_It__String__Ochar_J, type,
    a_list_char : exp_list_char > option_set_list_char).
thf(sy_c_Expr_Ofv, type,
    fv : exp_list_char > set_list_char).
thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__List__Olist_It__String__Ochar_J_J, type,
    sup_su1099679555t_char : set_list_char > set_list_char > set_list_char).
thf(sy_c_Lattices_Osup__class_Osup_001t__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,
    sup_su886787547on_val : set_Pr1189492743on_val > set_Pr1189492743on_val > set_Pr1189492743on_val).
thf(sy_c_Map_Odom_001t__List__Olist_It__String__Ochar_J_001t__Value__Oval, type,
    dom_list_char_val : (list_char > option_val) > set_list_char).
thf(sy_c_Map_Odom_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__Set__Oset_It__List__Olist_It__String__Ochar_J_J, type,
    dom_Pr1335625324t_char : (produc1172664615on_val > option_set_list_char) > set_Pr1189492743on_val).
thf(sy_c_Map_Omap__add_001t__List__Olist_It__String__Ochar_J_001t__Value__Oval, type,
    map_ad1615113112ar_val : (list_char > option_val) > (list_char > option_val) > list_char > option_val).
thf(sy_c_Objects_Ohext, type,
    hext : (nat > option2118145160on_val) > (nat > option2118145160on_val) > $o).
thf(sy_c_Option_Ooption_OSome_001t__Set__Oset_It__List__Olist_It__String__Ochar_J_J, type,
    some_set_list_char : set_list_char > option_set_list_char).
thf(sy_c_Option_Ooption_OSome_001t__Value__Oval, type,
    some_val : val > option_val).
thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__List__Olist_It__String__Ochar_J_J, type,
    ord_le1836582007t_char : set_list_char > set_list_char > $o).
thf(sy_c_Orderings_Oord__class_Oless__eq_001t__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,
    ord_le837504935on_val : set_Pr1189492743on_val > set_Pr1189492743on_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__List__Olist_It__String__Ochar_J, type,
    collect_list_char : (list_char > $o) > set_list_char).
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_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_member_001t__List__Olist_It__String__Ochar_J, type,
    member_list_char : list_char > set_list_char > $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_P, type,
    p : list_P1234162913t_char).
thf(sy_v_a, type,
    a : nat > option2118145160on_val).
thf(sy_v_aa, type,
    aa : nat > option2118145160on_val).
thf(sy_v_b, type,
    b : list_char > option_val).
thf(sy_v_ba, type,
    ba : list_char > option_val).
thf(sy_v_e_092_060_094sub_0622, type,
    e_2 : exp_list_char).
thf(sy_v_e_Ha, type,
    e_a : exp_list_char).
thf(sy_v_ea, type,
    ea : exp_list_char).
thf(sy_v_x2, type,
    x2 : set_list_char).
thf(sy_v_x2a, type,
    x2a : set_list_char).
thf(sy_v_x2b, type,
    x2b : set_list_char).
thf(sy_v_x2c, type,
    x2c : set_list_char).

% Relevant facts (158)
thf(fact_0_red__lcl__incr, axiom,
    ((![E : exp_list_char, H_0 : nat > option2118145160on_val, L_0 : list_char > option_val, E2 : exp_list_char, H_1 : nat > option2118145160on_val, L_1 : list_char > option_val, P : list_P1234162913t_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ (produc52622304on_val @ H_0 @ L_0)) @ (produc2023458740on_val @ E2 @ (produc52622304on_val @ H_1 @ L_1))) @ (red @ P)) => (ord_le1836582007t_char @ (dom_list_char_val @ L_0) @ (dom_list_char_val @ L_1)))))). % red_lcl_incr
thf(fact_1_Un__subset__iff, axiom,
    ((![A : set_list_char, B : set_list_char, C : set_list_char]: ((ord_le1836582007t_char @ (sup_su1099679555t_char @ A @ B) @ C) = (((ord_le1836582007t_char @ A @ C)) & ((ord_le1836582007t_char @ B @ C))))))). % Un_subset_iff
thf(fact_2_le__sup__iff, axiom,
    ((![X : set_list_char, Y : set_list_char, Z : set_list_char]: ((ord_le1836582007t_char @ (sup_su1099679555t_char @ X @ Y) @ Z) = (((ord_le1836582007t_char @ X @ Z)) & ((ord_le1836582007t_char @ Y @ Z))))))). % le_sup_iff
thf(fact_3_sup_Obounded__iff, axiom,
    ((![B2 : set_list_char, C2 : set_list_char, A2 : set_list_char]: ((ord_le1836582007t_char @ (sup_su1099679555t_char @ B2 @ C2) @ A2) = (((ord_le1836582007t_char @ B2 @ A2)) & ((ord_le1836582007t_char @ C2 @ A2))))))). % sup.bounded_iff
thf(fact_4_prod__cases4, axiom,
    ((![Y : produc1172664615on_val]: (~ ((![A3 : produc1097884484on_val, B3 : exp_list_char, C3 : nat > option2118145160on_val, D : list_char > option_val]: (~ ((Y = (produc1069526295on_val @ A3 @ (produc2023458740on_val @ B3 @ (produc52622304on_val @ C3 @ D)))))))))))). % prod_cases4
thf(fact_5_prod__induct4, axiom,
    ((![P : produc1172664615on_val > $o, X : produc1172664615on_val]: ((![A3 : produc1097884484on_val, B3 : exp_list_char, C3 : nat > option2118145160on_val, D : list_char > option_val]: (P @ (produc1069526295on_val @ A3 @ (produc2023458740on_val @ B3 @ (produc52622304on_val @ C3 @ D))))) => (P @ X))))). % prod_induct4
thf(fact_6_old_Oprod_Oinject, axiom,
    ((![A2 : produc1097884484on_val, B2 : produc1097884484on_val, A4 : produc1097884484on_val, B4 : produc1097884484on_val]: (((produc1069526295on_val @ A2 @ B2) = (produc1069526295on_val @ A4 @ B4)) = (((A2 = A4)) & ((B2 = B4))))))). % old.prod.inject
thf(fact_7_old_Oprod_Oinject, axiom,
    ((![A2 : exp_list_char, B2 : produc515445032on_val, A4 : exp_list_char, B4 : produc515445032on_val]: (((produc2023458740on_val @ A2 @ B2) = (produc2023458740on_val @ A4 @ B4)) = (((A2 = A4)) & ((B2 = B4))))))). % old.prod.inject
thf(fact_8_old_Oprod_Oinject, axiom,
    ((![A2 : nat > option2118145160on_val, B2 : list_char > option_val, A4 : nat > option2118145160on_val, B4 : list_char > option_val]: (((produc52622304on_val @ A2 @ B2) = (produc52622304on_val @ A4 @ B4)) = (((A2 = A4)) & ((B2 = B4))))))). % old.prod.inject
thf(fact_9_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_10_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_11_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_12_subset__antisym, axiom,
    ((![A : set_list_char, B : set_list_char]: ((ord_le1836582007t_char @ A @ B) => ((ord_le1836582007t_char @ B @ A) => (A = B)))))). % subset_antisym
thf(fact_13_subsetI, axiom,
    ((![A : set_Pr1189492743on_val, B : set_Pr1189492743on_val]: ((![X3 : produc1172664615on_val]: ((member354538064on_val @ X3 @ A) => (member354538064on_val @ X3 @ B))) => (ord_le837504935on_val @ A @ B))))). % subsetI
thf(fact_14_subsetI, axiom,
    ((![A : set_list_char, B : set_list_char]: ((![X3 : list_char]: ((member_list_char @ X3 @ A) => (member_list_char @ X3 @ B))) => (ord_le1836582007t_char @ A @ B))))). % subsetI
thf(fact_15_sup_Oright__idem, axiom,
    ((![A2 : set_list_char, B2 : set_list_char]: ((sup_su1099679555t_char @ (sup_su1099679555t_char @ A2 @ B2) @ B2) = (sup_su1099679555t_char @ A2 @ B2))))). % sup.right_idem
thf(fact_16_sup__left__idem, axiom,
    ((![X : set_list_char, Y : set_list_char]: ((sup_su1099679555t_char @ X @ (sup_su1099679555t_char @ X @ Y)) = (sup_su1099679555t_char @ X @ Y))))). % sup_left_idem
thf(fact_17_sup_Oleft__idem, axiom,
    ((![A2 : set_list_char, B2 : set_list_char]: ((sup_su1099679555t_char @ A2 @ (sup_su1099679555t_char @ A2 @ B2)) = (sup_su1099679555t_char @ A2 @ B2))))). % sup.left_idem
thf(fact_18_sup__idem, axiom,
    ((![X : set_list_char]: ((sup_su1099679555t_char @ X @ X) = X)))). % sup_idem
thf(fact_19_sup_Oidem, axiom,
    ((![A2 : set_list_char]: ((sup_su1099679555t_char @ A2 @ A2) = A2)))). % sup.idem
thf(fact_20_Un__iff, axiom,
    ((![C2 : produc1172664615on_val, A : set_Pr1189492743on_val, B : set_Pr1189492743on_val]: ((member354538064on_val @ C2 @ (sup_su886787547on_val @ A @ B)) = (((member354538064on_val @ C2 @ A)) | ((member354538064on_val @ C2 @ B))))))). % Un_iff
thf(fact_21_Un__iff, axiom,
    ((![C2 : list_char, A : set_list_char, B : set_list_char]: ((member_list_char @ C2 @ (sup_su1099679555t_char @ A @ B)) = (((member_list_char @ C2 @ A)) | ((member_list_char @ C2 @ B))))))). % Un_iff
thf(fact_22_UnCI, axiom,
    ((![C2 : produc1172664615on_val, B : set_Pr1189492743on_val, A : set_Pr1189492743on_val]: (((~ ((member354538064on_val @ C2 @ B))) => (member354538064on_val @ C2 @ A)) => (member354538064on_val @ C2 @ (sup_su886787547on_val @ A @ B)))))). % UnCI
thf(fact_23_UnCI, axiom,
    ((![C2 : list_char, B : set_list_char, A : set_list_char]: (((~ ((member_list_char @ C2 @ B))) => (member_list_char @ C2 @ A)) => (member_list_char @ C2 @ (sup_su1099679555t_char @ A @ B)))))). % UnCI
thf(fact_24_old_Oprod_Oinducts, axiom,
    ((![P : produc1172664615on_val > $o, Prod : produc1172664615on_val]: ((![A3 : produc1097884484on_val, B3 : produc1097884484on_val]: (P @ (produc1069526295on_val @ A3 @ B3))) => (P @ Prod))))). % old.prod.inducts
thf(fact_25_old_Oprod_Oinducts, axiom,
    ((![P : produc1097884484on_val > $o, Prod : produc1097884484on_val]: ((![A3 : exp_list_char, B3 : produc515445032on_val]: (P @ (produc2023458740on_val @ A3 @ B3))) => (P @ Prod))))). % old.prod.inducts
thf(fact_26_old_Oprod_Oinducts, axiom,
    ((![P : produc515445032on_val > $o, Prod : produc515445032on_val]: ((![A3 : nat > option2118145160on_val, B3 : list_char > option_val]: (P @ (produc52622304on_val @ A3 @ B3))) => (P @ Prod))))). % old.prod.inducts
thf(fact_27_old_Oprod_Oexhaust, axiom,
    ((![Y : produc1172664615on_val]: (~ ((![A3 : produc1097884484on_val, B3 : produc1097884484on_val]: (~ ((Y = (produc1069526295on_val @ A3 @ B3)))))))))). % old.prod.exhaust
thf(fact_28_old_Oprod_Oexhaust, axiom,
    ((![Y : produc1097884484on_val]: (~ ((![A3 : exp_list_char, B3 : produc515445032on_val]: (~ ((Y = (produc2023458740on_val @ A3 @ B3)))))))))). % old.prod.exhaust
thf(fact_29_old_Oprod_Oexhaust, axiom,
    ((![Y : produc515445032on_val]: (~ ((![A3 : nat > option2118145160on_val, B3 : list_char > option_val]: (~ ((Y = (produc52622304on_val @ A3 @ B3)))))))))). % old.prod.exhaust
thf(fact_30_Pair__inject, axiom,
    ((![A2 : produc1097884484on_val, B2 : produc1097884484on_val, A4 : produc1097884484on_val, B4 : produc1097884484on_val]: (((produc1069526295on_val @ A2 @ B2) = (produc1069526295on_val @ A4 @ B4)) => (~ (((A2 = A4) => (~ ((B2 = B4)))))))))). % Pair_inject
thf(fact_31_Pair__inject, axiom,
    ((![A2 : exp_list_char, B2 : produc515445032on_val, A4 : exp_list_char, B4 : produc515445032on_val]: (((produc2023458740on_val @ A2 @ B2) = (produc2023458740on_val @ A4 @ B4)) => (~ (((A2 = A4) => (~ ((B2 = B4)))))))))). % Pair_inject
thf(fact_32_Pair__inject, axiom,
    ((![A2 : nat > option2118145160on_val, B2 : list_char > option_val, A4 : nat > option2118145160on_val, B4 : list_char > option_val]: (((produc52622304on_val @ A2 @ B2) = (produc52622304on_val @ A4 @ B4)) => (~ (((A2 = A4) => (~ ((B2 = B4)))))))))). % Pair_inject
thf(fact_33_prod__cases, axiom,
    ((![P : produc1172664615on_val > $o, P2 : produc1172664615on_val]: ((![A3 : produc1097884484on_val, B3 : produc1097884484on_val]: (P @ (produc1069526295on_val @ A3 @ B3))) => (P @ P2))))). % prod_cases
thf(fact_34_prod__cases, axiom,
    ((![P : produc1097884484on_val > $o, P2 : produc1097884484on_val]: ((![A3 : exp_list_char, B3 : produc515445032on_val]: (P @ (produc2023458740on_val @ A3 @ B3))) => (P @ P2))))). % prod_cases
thf(fact_35_prod__cases, axiom,
    ((![P : produc515445032on_val > $o, P2 : produc515445032on_val]: ((![A3 : nat > option2118145160on_val, B3 : list_char > option_val]: (P @ (produc52622304on_val @ A3 @ B3))) => (P @ P2))))). % prod_cases
thf(fact_36_surj__pair, axiom,
    ((![P2 : produc1172664615on_val]: (?[X3 : produc1097884484on_val, Y3 : produc1097884484on_val]: (P2 = (produc1069526295on_val @ X3 @ Y3)))))). % surj_pair
thf(fact_37_surj__pair, axiom,
    ((![P2 : produc1097884484on_val]: (?[X3 : exp_list_char, Y3 : produc515445032on_val]: (P2 = (produc2023458740on_val @ X3 @ Y3)))))). % surj_pair
thf(fact_38_surj__pair, axiom,
    ((![P2 : produc515445032on_val]: (?[X3 : nat > option2118145160on_val, Y3 : list_char > option_val]: (P2 = (produc52622304on_val @ X3 @ Y3)))))). % surj_pair
thf(fact_39_Collect__mono__iff, axiom,
    ((![P : list_char > $o, Q : list_char > $o]: ((ord_le1836582007t_char @ (collect_list_char @ P) @ (collect_list_char @ Q)) = (![X4 : list_char]: (((P @ X4)) => ((Q @ X4)))))))). % Collect_mono_iff
thf(fact_40_set__eq__subset, axiom,
    (((^[Y4 : set_list_char]: (^[Z2 : set_list_char]: (Y4 = Z2))) = (^[A5 : set_list_char]: (^[B5 : set_list_char]: (((ord_le1836582007t_char @ A5 @ B5)) & ((ord_le1836582007t_char @ B5 @ A5)))))))). % set_eq_subset
thf(fact_41_subset__trans, axiom,
    ((![A : set_list_char, B : set_list_char, C : set_list_char]: ((ord_le1836582007t_char @ A @ B) => ((ord_le1836582007t_char @ B @ C) => (ord_le1836582007t_char @ A @ C)))))). % subset_trans
thf(fact_42_Collect__mono, axiom,
    ((![P : list_char > $o, Q : list_char > $o]: ((![X3 : list_char]: ((P @ X3) => (Q @ X3))) => (ord_le1836582007t_char @ (collect_list_char @ P) @ (collect_list_char @ Q)))))). % Collect_mono
thf(fact_43_subset__refl, axiom,
    ((![A : set_list_char]: (ord_le1836582007t_char @ A @ A)))). % subset_refl
thf(fact_44_subset__iff, axiom,
    ((ord_le837504935on_val = (^[A5 : set_Pr1189492743on_val]: (^[B5 : set_Pr1189492743on_val]: (![T : produc1172664615on_val]: (((member354538064on_val @ T @ A5)) => ((member354538064on_val @ T @ B5))))))))). % subset_iff
thf(fact_45_subset__iff, axiom,
    ((ord_le1836582007t_char = (^[A5 : set_list_char]: (^[B5 : set_list_char]: (![T : list_char]: (((member_list_char @ T @ A5)) => ((member_list_char @ T @ B5))))))))). % subset_iff
thf(fact_46_equalityD2, axiom,
    ((![A : set_list_char, B : set_list_char]: ((A = B) => (ord_le1836582007t_char @ B @ A))))). % equalityD2
thf(fact_47_equalityD1, axiom,
    ((![A : set_list_char, B : set_list_char]: ((A = B) => (ord_le1836582007t_char @ A @ B))))). % equalityD1
thf(fact_48_subset__eq, axiom,
    ((ord_le837504935on_val = (^[A5 : set_Pr1189492743on_val]: (^[B5 : set_Pr1189492743on_val]: (![X4 : produc1172664615on_val]: (((member354538064on_val @ X4 @ A5)) => ((member354538064on_val @ X4 @ B5))))))))). % subset_eq
thf(fact_49_subset__eq, axiom,
    ((ord_le1836582007t_char = (^[A5 : set_list_char]: (^[B5 : set_list_char]: (![X4 : list_char]: (((member_list_char @ X4 @ A5)) => ((member_list_char @ X4 @ B5))))))))). % subset_eq
thf(fact_50_equalityE, axiom,
    ((![A : set_list_char, B : set_list_char]: ((A = B) => (~ (((ord_le1836582007t_char @ A @ B) => (~ ((ord_le1836582007t_char @ B @ A)))))))))). % equalityE
thf(fact_51_subsetD, axiom,
    ((![A : set_Pr1189492743on_val, B : set_Pr1189492743on_val, C2 : produc1172664615on_val]: ((ord_le837504935on_val @ A @ B) => ((member354538064on_val @ C2 @ A) => (member354538064on_val @ C2 @ B)))))). % subsetD
thf(fact_52_subsetD, axiom,
    ((![A : set_list_char, B : set_list_char, C2 : list_char]: ((ord_le1836582007t_char @ A @ B) => ((member_list_char @ C2 @ A) => (member_list_char @ C2 @ B)))))). % subsetD
thf(fact_53_in__mono, axiom,
    ((![A : set_Pr1189492743on_val, B : set_Pr1189492743on_val, X : produc1172664615on_val]: ((ord_le837504935on_val @ A @ B) => ((member354538064on_val @ X @ A) => (member354538064on_val @ X @ B)))))). % in_mono
thf(fact_54_in__mono, axiom,
    ((![A : set_list_char, B : set_list_char, X : list_char]: ((ord_le1836582007t_char @ A @ B) => ((member_list_char @ X @ A) => (member_list_char @ X @ B)))))). % in_mono
thf(fact_55_sup__left__commute, axiom,
    ((![X : set_list_char, Y : set_list_char, Z : set_list_char]: ((sup_su1099679555t_char @ X @ (sup_su1099679555t_char @ Y @ Z)) = (sup_su1099679555t_char @ Y @ (sup_su1099679555t_char @ X @ Z)))))). % sup_left_commute
thf(fact_56_sup_Oleft__commute, axiom,
    ((![B2 : set_list_char, A2 : set_list_char, C2 : set_list_char]: ((sup_su1099679555t_char @ B2 @ (sup_su1099679555t_char @ A2 @ C2)) = (sup_su1099679555t_char @ A2 @ (sup_su1099679555t_char @ B2 @ C2)))))). % sup.left_commute
thf(fact_57_sup__commute, axiom,
    ((sup_su1099679555t_char = (^[X4 : set_list_char]: (^[Y5 : set_list_char]: (sup_su1099679555t_char @ Y5 @ X4)))))). % sup_commute
thf(fact_58_sup_Ocommute, axiom,
    ((sup_su1099679555t_char = (^[A6 : set_list_char]: (^[B6 : set_list_char]: (sup_su1099679555t_char @ B6 @ A6)))))). % sup.commute
thf(fact_59_mem__Collect__eq, axiom,
    ((![A2 : produc1172664615on_val, P : produc1172664615on_val > $o]: ((member354538064on_val @ A2 @ (collec2055896722on_val @ P)) = (P @ A2))))). % mem_Collect_eq
thf(fact_60_Collect__mem__eq, axiom,
    ((![A : set_Pr1189492743on_val]: ((collec2055896722on_val @ (^[X4 : produc1172664615on_val]: (member354538064on_val @ X4 @ A))) = A)))). % Collect_mem_eq
thf(fact_61_sup__assoc, axiom,
    ((![X : set_list_char, Y : set_list_char, Z : set_list_char]: ((sup_su1099679555t_char @ (sup_su1099679555t_char @ X @ Y) @ Z) = (sup_su1099679555t_char @ X @ (sup_su1099679555t_char @ Y @ Z)))))). % sup_assoc
thf(fact_62_sup_Oassoc, axiom,
    ((![A2 : set_list_char, B2 : set_list_char, C2 : set_list_char]: ((sup_su1099679555t_char @ (sup_su1099679555t_char @ A2 @ B2) @ C2) = (sup_su1099679555t_char @ A2 @ (sup_su1099679555t_char @ B2 @ C2)))))). % sup.assoc
thf(fact_63_boolean__algebra__cancel_Osup2, axiom,
    ((![B : set_list_char, K : set_list_char, B2 : set_list_char, A2 : set_list_char]: ((B = (sup_su1099679555t_char @ K @ B2)) => ((sup_su1099679555t_char @ A2 @ B) = (sup_su1099679555t_char @ K @ (sup_su1099679555t_char @ A2 @ B2))))))). % boolean_algebra_cancel.sup2
thf(fact_64_boolean__algebra__cancel_Osup1, axiom,
    ((![A : set_list_char, K : set_list_char, A2 : set_list_char, B2 : set_list_char]: ((A = (sup_su1099679555t_char @ K @ A2)) => ((sup_su1099679555t_char @ A @ B2) = (sup_su1099679555t_char @ K @ (sup_su1099679555t_char @ A2 @ B2))))))). % boolean_algebra_cancel.sup1
thf(fact_65_inf__sup__aci_I5_J, axiom,
    ((sup_su1099679555t_char = (^[X4 : set_list_char]: (^[Y5 : set_list_char]: (sup_su1099679555t_char @ Y5 @ X4)))))). % inf_sup_aci(5)
thf(fact_66_inf__sup__aci_I6_J, axiom,
    ((![X : set_list_char, Y : set_list_char, Z : set_list_char]: ((sup_su1099679555t_char @ (sup_su1099679555t_char @ X @ Y) @ Z) = (sup_su1099679555t_char @ X @ (sup_su1099679555t_char @ Y @ Z)))))). % inf_sup_aci(6)
thf(fact_67_inf__sup__aci_I7_J, axiom,
    ((![X : set_list_char, Y : set_list_char, Z : set_list_char]: ((sup_su1099679555t_char @ X @ (sup_su1099679555t_char @ Y @ Z)) = (sup_su1099679555t_char @ Y @ (sup_su1099679555t_char @ X @ Z)))))). % inf_sup_aci(7)
thf(fact_68_inf__sup__aci_I8_J, axiom,
    ((![X : set_list_char, Y : set_list_char]: ((sup_su1099679555t_char @ X @ (sup_su1099679555t_char @ X @ Y)) = (sup_su1099679555t_char @ X @ Y))))). % inf_sup_aci(8)
thf(fact_69_Un__left__commute, axiom,
    ((![A : set_list_char, B : set_list_char, C : set_list_char]: ((sup_su1099679555t_char @ A @ (sup_su1099679555t_char @ B @ C)) = (sup_su1099679555t_char @ B @ (sup_su1099679555t_char @ A @ C)))))). % Un_left_commute
thf(fact_70_Un__left__absorb, axiom,
    ((![A : set_list_char, B : set_list_char]: ((sup_su1099679555t_char @ A @ (sup_su1099679555t_char @ A @ B)) = (sup_su1099679555t_char @ A @ B))))). % Un_left_absorb
thf(fact_71_Un__commute, axiom,
    ((sup_su1099679555t_char = (^[A5 : set_list_char]: (^[B5 : set_list_char]: (sup_su1099679555t_char @ B5 @ A5)))))). % Un_commute
thf(fact_72_Un__absorb, axiom,
    ((![A : set_list_char]: ((sup_su1099679555t_char @ A @ A) = A)))). % Un_absorb
thf(fact_73_Un__assoc, axiom,
    ((![A : set_list_char, B : set_list_char, C : set_list_char]: ((sup_su1099679555t_char @ (sup_su1099679555t_char @ A @ B) @ C) = (sup_su1099679555t_char @ A @ (sup_su1099679555t_char @ B @ C)))))). % Un_assoc
thf(fact_74_ball__Un, axiom,
    ((![A : set_list_char, B : set_list_char, P : list_char > $o]: ((![X4 : list_char]: (((member_list_char @ X4 @ (sup_su1099679555t_char @ A @ B))) => ((P @ X4)))) = (((![X4 : list_char]: (((member_list_char @ X4 @ A)) => ((P @ X4))))) & ((![X4 : list_char]: (((member_list_char @ X4 @ B)) => ((P @ X4)))))))))). % ball_Un
thf(fact_75_bex__Un, axiom,
    ((![A : set_list_char, B : set_list_char, P : list_char > $o]: ((?[X4 : list_char]: (((member_list_char @ X4 @ (sup_su1099679555t_char @ A @ B))) & ((P @ X4)))) = (((?[X4 : list_char]: (((member_list_char @ X4 @ A)) & ((P @ X4))))) | ((?[X4 : list_char]: (((member_list_char @ X4 @ B)) & ((P @ X4)))))))))). % bex_Un
thf(fact_76_UnI2, axiom,
    ((![C2 : produc1172664615on_val, B : set_Pr1189492743on_val, A : set_Pr1189492743on_val]: ((member354538064on_val @ C2 @ B) => (member354538064on_val @ C2 @ (sup_su886787547on_val @ A @ B)))))). % UnI2
thf(fact_77_UnI2, axiom,
    ((![C2 : list_char, B : set_list_char, A : set_list_char]: ((member_list_char @ C2 @ B) => (member_list_char @ C2 @ (sup_su1099679555t_char @ A @ B)))))). % UnI2
thf(fact_78_UnI1, axiom,
    ((![C2 : produc1172664615on_val, A : set_Pr1189492743on_val, B : set_Pr1189492743on_val]: ((member354538064on_val @ C2 @ A) => (member354538064on_val @ C2 @ (sup_su886787547on_val @ A @ B)))))). % UnI1
thf(fact_79_UnI1, axiom,
    ((![C2 : list_char, A : set_list_char, B : set_list_char]: ((member_list_char @ C2 @ A) => (member_list_char @ C2 @ (sup_su1099679555t_char @ A @ B)))))). % UnI1
thf(fact_80_UnE, axiom,
    ((![C2 : produc1172664615on_val, A : set_Pr1189492743on_val, B : set_Pr1189492743on_val]: ((member354538064on_val @ C2 @ (sup_su886787547on_val @ A @ B)) => ((~ ((member354538064on_val @ C2 @ A))) => (member354538064on_val @ C2 @ B)))))). % UnE
thf(fact_81_UnE, axiom,
    ((![C2 : list_char, A : set_list_char, B : set_list_char]: ((member_list_char @ C2 @ (sup_su1099679555t_char @ A @ B)) => ((~ ((member_list_char @ C2 @ A))) => (member_list_char @ C2 @ B)))))). % UnE
thf(fact_82_prod__induct3, axiom,
    ((![P : produc1172664615on_val > $o, X : produc1172664615on_val]: ((![A3 : produc1097884484on_val, B3 : exp_list_char, C3 : produc515445032on_val]: (P @ (produc1069526295on_val @ A3 @ (produc2023458740on_val @ B3 @ C3)))) => (P @ X))))). % prod_induct3
thf(fact_83_prod__induct3, axiom,
    ((![P : produc1097884484on_val > $o, X : produc1097884484on_val]: ((![A3 : exp_list_char, B3 : nat > option2118145160on_val, C3 : list_char > option_val]: (P @ (produc2023458740on_val @ A3 @ (produc52622304on_val @ B3 @ C3)))) => (P @ X))))). % prod_induct3
thf(fact_84_prod__cases3, axiom,
    ((![Y : produc1172664615on_val]: (~ ((![A3 : produc1097884484on_val, B3 : exp_list_char, C3 : produc515445032on_val]: (~ ((Y = (produc1069526295on_val @ A3 @ (produc2023458740on_val @ B3 @ C3))))))))))). % prod_cases3
thf(fact_85_prod__cases3, axiom,
    ((![Y : produc1097884484on_val]: (~ ((![A3 : exp_list_char, B3 : nat > option2118145160on_val, C3 : list_char > option_val]: (~ ((Y = (produc2023458740on_val @ A3 @ (produc52622304on_val @ B3 @ C3))))))))))). % prod_cases3
thf(fact_86_sup_OcoboundedI2, axiom,
    ((![C2 : set_list_char, B2 : set_list_char, A2 : set_list_char]: ((ord_le1836582007t_char @ C2 @ B2) => (ord_le1836582007t_char @ C2 @ (sup_su1099679555t_char @ A2 @ B2)))))). % sup.coboundedI2
thf(fact_87_sup_OcoboundedI1, axiom,
    ((![C2 : set_list_char, A2 : set_list_char, B2 : set_list_char]: ((ord_le1836582007t_char @ C2 @ A2) => (ord_le1836582007t_char @ C2 @ (sup_su1099679555t_char @ A2 @ B2)))))). % sup.coboundedI1
thf(fact_88_sup_Oabsorb__iff2, axiom,
    ((ord_le1836582007t_char = (^[A6 : set_list_char]: (^[B6 : set_list_char]: ((sup_su1099679555t_char @ A6 @ B6) = B6)))))). % sup.absorb_iff2
thf(fact_89_sup_Oabsorb__iff1, axiom,
    ((ord_le1836582007t_char = (^[B6 : set_list_char]: (^[A6 : set_list_char]: ((sup_su1099679555t_char @ A6 @ B6) = A6)))))). % sup.absorb_iff1
thf(fact_90_sup_Ocobounded2, axiom,
    ((![B2 : set_list_char, A2 : set_list_char]: (ord_le1836582007t_char @ B2 @ (sup_su1099679555t_char @ A2 @ B2))))). % sup.cobounded2
thf(fact_91_sup_Ocobounded1, axiom,
    ((![A2 : set_list_char, B2 : set_list_char]: (ord_le1836582007t_char @ A2 @ (sup_su1099679555t_char @ A2 @ B2))))). % sup.cobounded1
thf(fact_92_sup_Oorder__iff, axiom,
    ((ord_le1836582007t_char = (^[B6 : set_list_char]: (^[A6 : set_list_char]: (A6 = (sup_su1099679555t_char @ A6 @ B6))))))). % sup.order_iff
thf(fact_93_sup_OboundedI, axiom,
    ((![B2 : set_list_char, A2 : set_list_char, C2 : set_list_char]: ((ord_le1836582007t_char @ B2 @ A2) => ((ord_le1836582007t_char @ C2 @ A2) => (ord_le1836582007t_char @ (sup_su1099679555t_char @ B2 @ C2) @ A2)))))). % sup.boundedI
thf(fact_94_sup_OboundedE, axiom,
    ((![B2 : set_list_char, C2 : set_list_char, A2 : set_list_char]: ((ord_le1836582007t_char @ (sup_su1099679555t_char @ B2 @ C2) @ A2) => (~ (((ord_le1836582007t_char @ B2 @ A2) => (~ ((ord_le1836582007t_char @ C2 @ A2)))))))))). % sup.boundedE
thf(fact_95_sup__absorb2, axiom,
    ((![X : set_list_char, Y : set_list_char]: ((ord_le1836582007t_char @ X @ Y) => ((sup_su1099679555t_char @ X @ Y) = Y))))). % sup_absorb2
thf(fact_96_sup__absorb1, axiom,
    ((![Y : set_list_char, X : set_list_char]: ((ord_le1836582007t_char @ Y @ X) => ((sup_su1099679555t_char @ X @ Y) = X))))). % sup_absorb1
thf(fact_97_sup_Oabsorb2, axiom,
    ((![A2 : set_list_char, B2 : set_list_char]: ((ord_le1836582007t_char @ A2 @ B2) => ((sup_su1099679555t_char @ A2 @ B2) = B2))))). % sup.absorb2
thf(fact_98_sup_Oabsorb1, axiom,
    ((![B2 : set_list_char, A2 : set_list_char]: ((ord_le1836582007t_char @ B2 @ A2) => ((sup_su1099679555t_char @ A2 @ B2) = A2))))). % sup.absorb1
thf(fact_99_sup__unique, axiom,
    ((![F : set_list_char > set_list_char > set_list_char, X : set_list_char, Y : set_list_char]: ((![X3 : set_list_char, Y3 : set_list_char]: (ord_le1836582007t_char @ X3 @ (F @ X3 @ Y3))) => ((![X3 : set_list_char, Y3 : set_list_char]: (ord_le1836582007t_char @ Y3 @ (F @ X3 @ Y3))) => ((![X3 : set_list_char, Y3 : set_list_char, Z3 : set_list_char]: ((ord_le1836582007t_char @ Y3 @ X3) => ((ord_le1836582007t_char @ Z3 @ X3) => (ord_le1836582007t_char @ (F @ Y3 @ Z3) @ X3)))) => ((sup_su1099679555t_char @ X @ Y) = (F @ X @ Y)))))))). % sup_unique
thf(fact_100_sup_OorderI, axiom,
    ((![A2 : set_list_char, B2 : set_list_char]: ((A2 = (sup_su1099679555t_char @ A2 @ B2)) => (ord_le1836582007t_char @ B2 @ A2))))). % sup.orderI
thf(fact_101_sup_OorderE, axiom,
    ((![B2 : set_list_char, A2 : set_list_char]: ((ord_le1836582007t_char @ B2 @ A2) => (A2 = (sup_su1099679555t_char @ A2 @ B2)))))). % sup.orderE
thf(fact_102_le__iff__sup, axiom,
    ((ord_le1836582007t_char = (^[X4 : set_list_char]: (^[Y5 : set_list_char]: ((sup_su1099679555t_char @ X4 @ Y5) = Y5)))))). % le_iff_sup
thf(fact_103_sup__least, axiom,
    ((![Y : set_list_char, X : set_list_char, Z : set_list_char]: ((ord_le1836582007t_char @ Y @ X) => ((ord_le1836582007t_char @ Z @ X) => (ord_le1836582007t_char @ (sup_su1099679555t_char @ Y @ Z) @ X)))))). % sup_least
thf(fact_104_sup__mono, axiom,
    ((![A2 : set_list_char, C2 : set_list_char, B2 : set_list_char, D2 : set_list_char]: ((ord_le1836582007t_char @ A2 @ C2) => ((ord_le1836582007t_char @ B2 @ D2) => (ord_le1836582007t_char @ (sup_su1099679555t_char @ A2 @ B2) @ (sup_su1099679555t_char @ C2 @ D2))))))). % sup_mono
thf(fact_105_sup_Omono, axiom,
    ((![C2 : set_list_char, A2 : set_list_char, D2 : set_list_char, B2 : set_list_char]: ((ord_le1836582007t_char @ C2 @ A2) => ((ord_le1836582007t_char @ D2 @ B2) => (ord_le1836582007t_char @ (sup_su1099679555t_char @ C2 @ D2) @ (sup_su1099679555t_char @ A2 @ B2))))))). % sup.mono
thf(fact_106_le__supI2, axiom,
    ((![X : set_list_char, B2 : set_list_char, A2 : set_list_char]: ((ord_le1836582007t_char @ X @ B2) => (ord_le1836582007t_char @ X @ (sup_su1099679555t_char @ A2 @ B2)))))). % le_supI2
thf(fact_107_le__supI1, axiom,
    ((![X : set_list_char, A2 : set_list_char, B2 : set_list_char]: ((ord_le1836582007t_char @ X @ A2) => (ord_le1836582007t_char @ X @ (sup_su1099679555t_char @ A2 @ B2)))))). % le_supI1
thf(fact_108_sup__ge2, axiom,
    ((![Y : set_list_char, X : set_list_char]: (ord_le1836582007t_char @ Y @ (sup_su1099679555t_char @ X @ Y))))). % sup_ge2
thf(fact_109_sup__ge1, axiom,
    ((![X : set_list_char, Y : set_list_char]: (ord_le1836582007t_char @ X @ (sup_su1099679555t_char @ X @ Y))))). % sup_ge1
thf(fact_110_le__supI, axiom,
    ((![A2 : set_list_char, X : set_list_char, B2 : set_list_char]: ((ord_le1836582007t_char @ A2 @ X) => ((ord_le1836582007t_char @ B2 @ X) => (ord_le1836582007t_char @ (sup_su1099679555t_char @ A2 @ B2) @ X)))))). % le_supI
thf(fact_111_le__supE, axiom,
    ((![A2 : set_list_char, B2 : set_list_char, X : set_list_char]: ((ord_le1836582007t_char @ (sup_su1099679555t_char @ A2 @ B2) @ X) => (~ (((ord_le1836582007t_char @ A2 @ X) => (~ ((ord_le1836582007t_char @ B2 @ X)))))))))). % le_supE
thf(fact_112_inf__sup__ord_I3_J, axiom,
    ((![X : set_list_char, Y : set_list_char]: (ord_le1836582007t_char @ X @ (sup_su1099679555t_char @ X @ Y))))). % inf_sup_ord(3)
thf(fact_113_inf__sup__ord_I4_J, axiom,
    ((![Y : set_list_char, X : set_list_char]: (ord_le1836582007t_char @ Y @ (sup_su1099679555t_char @ X @ Y))))). % inf_sup_ord(4)
thf(fact_114_subset__Un__eq, axiom,
    ((ord_le1836582007t_char = (^[A5 : set_list_char]: (^[B5 : set_list_char]: ((sup_su1099679555t_char @ A5 @ B5) = B5)))))). % subset_Un_eq
thf(fact_115_subset__UnE, axiom,
    ((![C : set_list_char, A : set_list_char, B : set_list_char]: ((ord_le1836582007t_char @ C @ (sup_su1099679555t_char @ A @ B)) => (~ ((![A7 : set_list_char]: ((ord_le1836582007t_char @ A7 @ A) => (![B7 : set_list_char]: ((ord_le1836582007t_char @ B7 @ B) => (~ ((C = (sup_su1099679555t_char @ A7 @ B7)))))))))))))). % subset_UnE
thf(fact_116_Un__absorb2, axiom,
    ((![B : set_list_char, A : set_list_char]: ((ord_le1836582007t_char @ B @ A) => ((sup_su1099679555t_char @ A @ B) = A))))). % Un_absorb2
thf(fact_117_Un__absorb1, axiom,
    ((![A : set_list_char, B : set_list_char]: ((ord_le1836582007t_char @ A @ B) => ((sup_su1099679555t_char @ A @ B) = B))))). % Un_absorb1
thf(fact_118_Un__upper2, axiom,
    ((![B : set_list_char, A : set_list_char]: (ord_le1836582007t_char @ B @ (sup_su1099679555t_char @ A @ B))))). % Un_upper2
thf(fact_119_Un__upper1, axiom,
    ((![A : set_list_char, B : set_list_char]: (ord_le1836582007t_char @ A @ (sup_su1099679555t_char @ A @ B))))). % Un_upper1
thf(fact_120_Un__least, axiom,
    ((![A : set_list_char, C : set_list_char, B : set_list_char]: ((ord_le1836582007t_char @ A @ C) => ((ord_le1836582007t_char @ B @ C) => (ord_le1836582007t_char @ (sup_su1099679555t_char @ A @ B) @ C)))))). % Un_least
thf(fact_121_Un__mono, axiom,
    ((![A : set_list_char, C : set_list_char, B : set_list_char, D3 : set_list_char]: ((ord_le1836582007t_char @ A @ C) => ((ord_le1836582007t_char @ B @ D3) => (ord_le1836582007t_char @ (sup_su1099679555t_char @ A @ B) @ (sup_su1099679555t_char @ C @ D3))))))). % Un_mono
thf(fact_122_option_Oinject, axiom,
    ((![X2 : set_list_char, Y2 : set_list_char]: (((some_set_list_char @ X2) = (some_set_list_char @ Y2)) = (X2 = Y2))))). % option.inject
thf(fact_123_order__refl, axiom,
    ((![X : set_list_char]: (ord_le1836582007t_char @ X @ X)))). % order_refl
thf(fact_124_domI, axiom,
    ((![M : list_char > option_val, A2 : list_char, B2 : val]: (((M @ A2) = (some_val @ B2)) => (member_list_char @ A2 @ (dom_list_char_val @ M)))))). % domI
thf(fact_125_domI, axiom,
    ((![M : produc1172664615on_val > option_set_list_char, A2 : produc1172664615on_val, B2 : set_list_char]: (((M @ A2) = (some_set_list_char @ B2)) => (member354538064on_val @ A2 @ (dom_Pr1335625324t_char @ M)))))). % domI
thf(fact_126_domD, axiom,
    ((![A2 : list_char, M : list_char > option_val]: ((member_list_char @ A2 @ (dom_list_char_val @ M)) => (?[B3 : val]: ((M @ A2) = (some_val @ B3))))))). % domD
thf(fact_127_domD, axiom,
    ((![A2 : produc1172664615on_val, M : produc1172664615on_val > option_set_list_char]: ((member354538064on_val @ A2 @ (dom_Pr1335625324t_char @ M)) => (?[B3 : set_list_char]: ((M @ A2) = (some_set_list_char @ B3))))))). % domD
thf(fact_128_Red__dom__lcl, axiom,
    ((![E : exp_list_char, H : nat > option2118145160on_val, L : list_char > option_val, E2 : exp_list_char, H2 : nat > option2118145160on_val, L2 : list_char > option_val, P : list_P1234162913t_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ (produc52622304on_val @ H @ L)) @ (produc2023458740on_val @ E2 @ (produc52622304on_val @ H2 @ L2))) @ (red @ P)) => (ord_le1836582007t_char @ (dom_list_char_val @ L2) @ (sup_su1099679555t_char @ (dom_list_char_val @ L) @ (fv @ E))))))). % Red_dom_lcl
thf(fact_129_red__hext__incr, axiom,
    ((![E : exp_list_char, H : nat > option2118145160on_val, L : list_char > option_val, E2 : exp_list_char, H2 : nat > option2118145160on_val, L2 : list_char > option_val, P : list_P1234162913t_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ (produc52622304on_val @ H @ L)) @ (produc2023458740on_val @ E2 @ (produc52622304on_val @ H2 @ L2))) @ (red @ P)) => (hext @ H @ H2))))). % red_hext_incr
thf(fact_130_A__fv, axiom,
    ((![E : exp_list_char, A : set_list_char]: (((a_list_char @ E) = (some_set_list_char @ A)) => (ord_le1836582007t_char @ A @ (fv @ E)))))). % A_fv
thf(fact_131_red__lcl__add, axiom,
    ((![E : exp_list_char, H : nat > option2118145160on_val, L : list_char > option_val, E2 : exp_list_char, H2 : nat > option2118145160on_val, L2 : list_char > option_val, P : list_P1234162913t_char, L_0 : list_char > option_val]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ (produc52622304on_val @ H @ L)) @ (produc2023458740on_val @ E2 @ (produc52622304on_val @ H2 @ L2))) @ (red @ P)) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ (produc52622304on_val @ H @ (map_ad1615113112ar_val @ L_0 @ L))) @ (produc2023458740on_val @ E2 @ (produc52622304on_val @ H2 @ (map_ad1615113112ar_val @ L_0 @ L2)))) @ (red @ P)))))). % red_lcl_add
thf(fact_132_map__add__assoc, axiom,
    ((![M1 : list_char > option_val, M2 : list_char > option_val, M3 : list_char > option_val]: ((map_ad1615113112ar_val @ M1 @ (map_ad1615113112ar_val @ M2 @ M3)) = (map_ad1615113112ar_val @ (map_ad1615113112ar_val @ M1 @ M2) @ M3))))). % map_add_assoc
thf(fact_133_map__add__find__right, axiom,
    ((![N : list_char > option_val, K : list_char, Xx : val, M : list_char > option_val]: (((N @ K) = (some_val @ Xx)) => ((map_ad1615113112ar_val @ M @ N @ K) = (some_val @ Xx)))))). % map_add_find_right
thf(fact_134_dom__map__add, axiom,
    ((![M : list_char > option_val, N : list_char > option_val]: ((dom_list_char_val @ (map_ad1615113112ar_val @ M @ N)) = (sup_su1099679555t_char @ (dom_list_char_val @ N) @ (dom_list_char_val @ M)))))). % dom_map_add
thf(fact_135_map__add__dom__app__simps_I3_J, axiom,
    ((![M : list_char, L22 : list_char > option_val, L1 : list_char > option_val]: ((~ ((member_list_char @ M @ (dom_list_char_val @ L22)))) => ((map_ad1615113112ar_val @ L1 @ L22 @ M) = (L1 @ M)))))). % map_add_dom_app_simps(3)
thf(fact_136_map__add__dom__app__simps_I2_J, axiom,
    ((![M : list_char, L1 : list_char > option_val, L22 : list_char > option_val]: ((~ ((member_list_char @ M @ (dom_list_char_val @ L1)))) => ((map_ad1615113112ar_val @ L1 @ L22 @ M) = (L22 @ M)))))). % map_add_dom_app_simps(2)
thf(fact_137_map__add__dom__app__simps_I1_J, axiom,
    ((![M : list_char, L22 : list_char > option_val, L1 : list_char > option_val]: ((member_list_char @ M @ (dom_list_char_val @ L22)) => ((map_ad1615113112ar_val @ L1 @ L22 @ M) = (L22 @ M)))))). % map_add_dom_app_simps(1)
thf(fact_138_order__subst1, axiom,
    ((![A2 : set_list_char, F : set_list_char > set_list_char, B2 : set_list_char, C2 : set_list_char]: ((ord_le1836582007t_char @ A2 @ (F @ B2)) => ((ord_le1836582007t_char @ B2 @ C2) => ((![X3 : set_list_char, Y3 : set_list_char]: ((ord_le1836582007t_char @ X3 @ Y3) => (ord_le1836582007t_char @ (F @ X3) @ (F @ Y3)))) => (ord_le1836582007t_char @ A2 @ (F @ C2)))))))). % order_subst1
thf(fact_139_order__subst2, axiom,
    ((![A2 : set_list_char, B2 : set_list_char, F : set_list_char > set_list_char, C2 : set_list_char]: ((ord_le1836582007t_char @ A2 @ B2) => ((ord_le1836582007t_char @ (F @ B2) @ C2) => ((![X3 : set_list_char, Y3 : set_list_char]: ((ord_le1836582007t_char @ X3 @ Y3) => (ord_le1836582007t_char @ (F @ X3) @ (F @ Y3)))) => (ord_le1836582007t_char @ (F @ A2) @ C2))))))). % order_subst2
thf(fact_140_ord__eq__le__subst, axiom,
    ((![A2 : set_list_char, F : set_list_char > set_list_char, B2 : set_list_char, C2 : set_list_char]: ((A2 = (F @ B2)) => ((ord_le1836582007t_char @ B2 @ C2) => ((![X3 : set_list_char, Y3 : set_list_char]: ((ord_le1836582007t_char @ X3 @ Y3) => (ord_le1836582007t_char @ (F @ X3) @ (F @ Y3)))) => (ord_le1836582007t_char @ A2 @ (F @ C2)))))))). % ord_eq_le_subst
thf(fact_141_ord__le__eq__subst, axiom,
    ((![A2 : set_list_char, B2 : set_list_char, F : set_list_char > set_list_char, C2 : set_list_char]: ((ord_le1836582007t_char @ A2 @ B2) => (((F @ B2) = C2) => ((![X3 : set_list_char, Y3 : set_list_char]: ((ord_le1836582007t_char @ X3 @ Y3) => (ord_le1836582007t_char @ (F @ X3) @ (F @ Y3)))) => (ord_le1836582007t_char @ (F @ A2) @ C2))))))). % ord_le_eq_subst
thf(fact_142_eq__iff, axiom,
    (((^[Y4 : set_list_char]: (^[Z2 : set_list_char]: (Y4 = Z2))) = (^[X4 : set_list_char]: (^[Y5 : set_list_char]: (((ord_le1836582007t_char @ X4 @ Y5)) & ((ord_le1836582007t_char @ Y5 @ X4)))))))). % eq_iff
thf(fact_143_antisym, axiom,
    ((![X : set_list_char, Y : set_list_char]: ((ord_le1836582007t_char @ X @ Y) => ((ord_le1836582007t_char @ Y @ X) => (X = Y)))))). % antisym
thf(fact_144_eq__refl, axiom,
    ((![X : set_list_char, Y : set_list_char]: ((X = Y) => (ord_le1836582007t_char @ X @ Y))))). % eq_refl
thf(fact_145_order_Otrans, axiom,
    ((![A2 : set_list_char, B2 : set_list_char, C2 : set_list_char]: ((ord_le1836582007t_char @ A2 @ B2) => ((ord_le1836582007t_char @ B2 @ C2) => (ord_le1836582007t_char @ A2 @ C2)))))). % order.trans
thf(fact_146_antisym__conv, axiom,
    ((![Y : set_list_char, X : set_list_char]: ((ord_le1836582007t_char @ Y @ X) => ((ord_le1836582007t_char @ X @ Y) = (X = Y)))))). % antisym_conv
thf(fact_147_order__class_Oorder_Oeq__iff, axiom,
    (((^[Y4 : set_list_char]: (^[Z2 : set_list_char]: (Y4 = Z2))) = (^[A6 : set_list_char]: (^[B6 : set_list_char]: (((ord_le1836582007t_char @ A6 @ B6)) & ((ord_le1836582007t_char @ B6 @ A6)))))))). % order_class.order.eq_iff
thf(fact_148_ord__eq__le__trans, axiom,
    ((![A2 : set_list_char, B2 : set_list_char, C2 : set_list_char]: ((A2 = B2) => ((ord_le1836582007t_char @ B2 @ C2) => (ord_le1836582007t_char @ A2 @ C2)))))). % ord_eq_le_trans
thf(fact_149_ord__le__eq__trans, axiom,
    ((![A2 : set_list_char, B2 : set_list_char, C2 : set_list_char]: ((ord_le1836582007t_char @ A2 @ B2) => ((B2 = C2) => (ord_le1836582007t_char @ A2 @ C2)))))). % ord_le_eq_trans
thf(fact_150_order__class_Oorder_Oantisym, axiom,
    ((![A2 : set_list_char, B2 : set_list_char]: ((ord_le1836582007t_char @ A2 @ B2) => ((ord_le1836582007t_char @ B2 @ A2) => (A2 = B2)))))). % order_class.order.antisym
thf(fact_151_order__trans, axiom,
    ((![X : set_list_char, Y : set_list_char, Z : set_list_char]: ((ord_le1836582007t_char @ X @ Y) => ((ord_le1836582007t_char @ Y @ Z) => (ord_le1836582007t_char @ X @ Z)))))). % order_trans
thf(fact_152_dual__order_Orefl, axiom,
    ((![A2 : set_list_char]: (ord_le1836582007t_char @ A2 @ A2)))). % dual_order.refl
thf(fact_153_dual__order_Otrans, axiom,
    ((![B2 : set_list_char, A2 : set_list_char, C2 : set_list_char]: ((ord_le1836582007t_char @ B2 @ A2) => ((ord_le1836582007t_char @ C2 @ B2) => (ord_le1836582007t_char @ C2 @ A2)))))). % dual_order.trans
thf(fact_154_dual__order_Oeq__iff, axiom,
    (((^[Y4 : set_list_char]: (^[Z2 : set_list_char]: (Y4 = Z2))) = (^[A6 : set_list_char]: (^[B6 : set_list_char]: (((ord_le1836582007t_char @ B6 @ A6)) & ((ord_le1836582007t_char @ A6 @ B6)))))))). % dual_order.eq_iff
thf(fact_155_dual__order_Oantisym, axiom,
    ((![B2 : set_list_char, A2 : set_list_char]: ((ord_le1836582007t_char @ B2 @ A2) => ((ord_le1836582007t_char @ A2 @ B2) => (A2 = B2)))))). % dual_order.antisym
thf(fact_156_hext__refl, axiom,
    ((![H : nat > option2118145160on_val]: (hext @ H @ H)))). % hext_refl
thf(fact_157_Red__lcl__add, axiom,
    ((![E : exp_list_char, H : nat > option2118145160on_val, L : list_char > option_val, E2 : exp_list_char, H2 : nat > option2118145160on_val, L2 : list_char > option_val, P : list_P1234162913t_char, L_0 : list_char > option_val]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ (produc52622304on_val @ H @ L)) @ (produc2023458740on_val @ E2 @ (produc52622304on_val @ H2 @ L2))) @ (transi111096263on_val @ (red @ P))) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E @ (produc52622304on_val @ H @ (map_ad1615113112ar_val @ L_0 @ L))) @ (produc2023458740on_val @ E2 @ (produc52622304on_val @ H2 @ (map_ad1615113112ar_val @ L_0 @ L2)))) @ (transi111096263on_val @ (red @ P))))))). % Red_lcl_add

% Conjectures (7)
thf(conj_0, hypothesis,
    ((ord_le1836582007t_char @ x2b @ x2))).
thf(conj_1, hypothesis,
    ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ ea @ (produc52622304on_val @ a @ b)) @ (produc2023458740on_val @ e_a @ (produc52622304on_val @ aa @ ba))) @ (red @ p)))).
thf(conj_2, hypothesis,
    (((a_list_char @ e_a) = (some_set_list_char @ x2a)))).
thf(conj_3, hypothesis,
    (((sup_su1099679555t_char @ (dom_list_char_val @ ba) @ x2a) = x2))).
thf(conj_4, hypothesis,
    (((a_list_char @ ea) = (some_set_list_char @ x2c)))).
thf(conj_5, hypothesis,
    (((sup_su1099679555t_char @ (dom_list_char_val @ b) @ x2c) = x2b))).
thf(conj_6, conjecture,
    ((![X22 : set_list_char]: ((~ (((a_list_char @ e_2) = (some_set_list_char @ X22)))) | ((ord_le1836582007t_char @ (dom_list_char_val @ b) @ (sup_su1099679555t_char @ (dom_list_char_val @ ba) @ (sup_su1099679555t_char @ x2a @ X22))) & ((ord_le1836582007t_char @ x2c @ (sup_su1099679555t_char @ (dom_list_char_val @ ba) @ (sup_su1099679555t_char @ x2a @ X22))) & (ord_le1836582007t_char @ X22 @ (sup_su1099679555t_char @ (dom_list_char_val @ ba) @ (sup_su1099679555t_char @ x2a @ X22))))))))).
