% 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_286__5337250_1 ) ; }
% This file was generated by Isabelle (most likely Sledgehammer)
% 2020-12-16 14:20:30.375

% Could-be-implicit typings (18)
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thf(ty_n_t__List__Olist_It__String__Ochar_J, type,
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thf(ty_n_t__Type__Oty, type,
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% Explicit typings (53)
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thf(sy_c_Expr_Oexp_OBinOp_001t__List__Olist_It__String__Ochar_J, type,
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thf(sy_c_Expr_Oexp_Othrow_001t__List__Olist_It__String__Ochar_J, type,
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thf(sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat, type,
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thf(sy_c_State_Ohp, type,
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thf(sy_c_TypeSafe__Mirabelle__osrwgqrerx_Osconf, type,
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thf(sy_c_Type_Ois__refT, type,
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thf(sy_c_Type_Oty_OBoolean, type,
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thf(sy_c_Type_Oty_OClass, type,
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thf(sy_c_Type_Oty_OInteger, type,
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thf(sy_c_Type_Oty_ONT, type,
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thf(sy_c_Type_Oty_OVoid, type,
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thf(sy_c_Type_Oty_Osize__ty, type,
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thf(sy_c_WellType_OWT, type,
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thf(sy_v_E____, type,
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thf(sy_v_P, type,
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thf(sy_v_T____, type,
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thf(sy_v_bop____, type,
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thf(sy_v_e_092_060_094sub_0622_H____, type,
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thf(sy_v_e_092_060_094sub_0622____, type,
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thf(sy_v_h_Ha____, type,
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thf(sy_v_ha____, type,
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thf(sy_v_l_Ha____, type,
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thf(sy_v_la____, type,
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thf(sy_v_v_092_060_094sub_0621____, type,
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% Relevant facts (146)
thf(fact_0_wt, axiom,
    ((wTrt2 @ p @ ha @ e @ (binOp_list_char @ (val_list_char @ v_1) @ bop2 @ e_22) @ t))). % wt
thf(fact_1_BinOpRed2_Oprems_I2_J, axiom,
    ((wTrt2 @ p @ ha @ e @ (binOp_list_char @ (val_list_char @ v_1) @ bop2 @ e_22) @ t))). % BinOpRed2.prems(2)
thf(fact_2_ty_Odistinct_I9_J, axiom,
    ((~ ((boolean = integer))))). % ty.distinct(9)
thf(fact_3_ty_Odistinct_I15_J, axiom,
    ((~ ((integer = nt))))). % ty.distinct(15)
thf(fact_4_ty_Odistinct_I3_J, axiom,
    ((~ ((void = integer))))). % ty.distinct(3)
thf(fact_5_ty_Odistinct_I17_J, axiom,
    ((![X5 : list_char]: (~ ((integer = (class @ X5))))))). % ty.distinct(17)
thf(fact_6_ty_Osize__gen_I3_J, axiom,
    (((size_ty @ integer) = zero_zero_nat))). % ty.size_gen(3)
thf(fact_7_WTrtBinOpAdd, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E_1 : exp_list_char, E_2 : exp_list_char]: ((wTrt2 @ P @ H @ E @ E_1 @ integer) => ((wTrt2 @ P @ H @ E @ E_2 @ integer) => (wTrt2 @ P @ H @ E @ (binOp_list_char @ E_1 @ add @ E_2) @ integer)))))). % WTrtBinOpAdd
thf(fact_8_ty_Osize_I8_J, axiom,
    (((size_size_ty @ integer) = zero_zero_nat))). % ty.size(8)
thf(fact_9_local_Owf, axiom,
    ((wf_pro1229751607t_char @ wf_J_mdecl @ p))). % local.wf
thf(fact_10_ty_Oinject, axiom,
    ((![X5 : list_char, Y5 : list_char]: (((class @ X5) = (class @ Y5)) = (X5 = Y5))))). % ty.inject
thf(fact_11__092_060open_062bop_A_061_AAdd_092_060close_062, axiom,
    ((bop2 = add))). % \<open>bop = Add\<close>
thf(fact_12_ty_Osize_I10_J, axiom,
    ((![X5 : list_char]: ((size_size_ty @ (class @ X5)) = zero_zero_nat)))). % ty.size(10)
thf(fact_13_ty_Osize_I9_J, axiom,
    (((size_size_ty @ nt) = zero_zero_nat))). % ty.size(9)
thf(fact_14_ty_Osize_I7_J, axiom,
    (((size_size_ty @ boolean) = zero_zero_nat))). % ty.size(7)
thf(fact_15_ty_Osize_I6_J, axiom,
    (((size_size_ty @ void) = zero_zero_nat))). % ty.size(6)
thf(fact_16_ty_Odistinct_I19_J, axiom,
    ((![X5 : list_char]: (~ ((nt = (class @ X5))))))). % ty.distinct(19)
thf(fact_17_ty_Odistinct_I13_J, axiom,
    ((![X5 : list_char]: (~ ((boolean = (class @ X5))))))). % ty.distinct(13)
thf(fact_18_ty_Odistinct_I11_J, axiom,
    ((~ ((boolean = nt))))). % ty.distinct(11)
thf(fact_19_ty_Odistinct_I7_J, axiom,
    ((![X5 : list_char]: (~ ((void = (class @ X5))))))). % ty.distinct(7)
thf(fact_20_ty_Odistinct_I5_J, axiom,
    ((~ ((void = nt))))). % ty.distinct(5)
thf(fact_21_ty_Odistinct_I1_J, axiom,
    ((~ ((void = boolean))))). % ty.distinct(1)
thf(fact_22_ty_Osize__gen_I5_J, axiom,
    ((![X5 : list_char]: ((size_ty @ (class @ X5)) = zero_zero_nat)))). % ty.size_gen(5)
thf(fact_23_ty_Osize__gen_I4_J, axiom,
    (((size_ty @ nt) = zero_zero_nat))). % ty.size_gen(4)
thf(fact_24_ty_Osize__gen_I2_J, axiom,
    (((size_ty @ boolean) = zero_zero_nat))). % ty.size_gen(2)
thf(fact_25_ty_Osize__gen_I1_J, axiom,
    (((size_ty @ void) = zero_zero_nat))). % ty.size_gen(1)
thf(fact_26_ty_Oinduct, axiom,
    ((![P : ty > $o, Ty : ty]: ((P @ void) => ((P @ boolean) => ((P @ integer) => ((P @ nt) => ((![X : list_char]: (P @ (class @ X))) => (P @ Ty))))))))). % ty.induct
thf(fact_27_ty_Oexhaust, axiom,
    ((![Y : ty]: ((~ ((Y = void))) => ((~ ((Y = boolean))) => ((~ ((Y = integer))) => ((~ ((Y = nt))) => (~ ((![X52 : list_char]: (~ ((Y = (class @ X52)))))))))))))). % ty.exhaust
thf(fact_28_exp_Oinject_I4_J, axiom,
    ((![X41 : exp_list_char, X42 : bop, X43 : exp_list_char, Y41 : exp_list_char, Y42 : bop, Y43 : exp_list_char]: (((binOp_list_char @ X41 @ X42 @ X43) = (binOp_list_char @ Y41 @ Y42 @ Y43)) = (((X41 = Y41)) & ((((X42 = Y42)) & ((X43 = Y43))))))))). % exp.inject(4)
thf(fact_29_WTrt__elim__cases_I9_J, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E_1 : exp_list_char, Bop : bop, E_2 : exp_list_char, T : ty]: ((wTrt2 @ P @ H @ E @ (binOp_list_char @ E_1 @ Bop @ E_2) @ T) => (((Bop = c_Expr_Obop_OEq) => ((T = boolean) => ((?[X_1 : ty]: (wTrt2 @ P @ H @ E @ E_1 @ X_1)) => (![T_2 : ty]: (~ ((wTrt2 @ P @ H @ E @ E_2 @ T_2))))))) => (~ (((Bop = add) => ((T = integer) => ((wTrt2 @ P @ H @ E @ E_1 @ integer) => (~ ((wTrt2 @ P @ H @ E @ E_2 @ integer))))))))))))). % WTrt_elim_cases(9)
thf(fact_30_exp_Oinject_I3_J, axiom,
    ((![X3 : val, Y3 : val]: (((val_list_char @ X3) = (val_list_char @ Y3)) = (X3 = Y3))))). % exp.inject(3)
thf(fact_31_exp_Odistinct_I55_J, axiom,
    ((![X3 : val, X41 : exp_list_char, X42 : bop, X43 : exp_list_char]: (~ (((val_list_char @ X3) = (binOp_list_char @ X41 @ X42 @ X43))))))). % exp.distinct(55)
thf(fact_32_not__refTE, axiom,
    ((![T : ty]: ((~ ((is_refT @ T))) => ((T = void) | ((T = boolean) | (T = integer))))))). % not_refTE
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_BinOpRed2_Oprems_I1_J, axiom,
    ((typeSa1777264139_sconf @ p @ e @ (produc52622304on_val @ ha @ la)))). % BinOpRed2.prems(1)
thf(fact_36_WTrtBinOpEq, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E_1 : exp_list_char, T_1 : ty, E_2 : exp_list_char, T_22 : ty]: ((wTrt2 @ P @ H @ E @ E_1 @ T_1) => ((wTrt2 @ P @ H @ E @ E_2 @ T_22) => (wTrt2 @ P @ H @ E @ (binOp_list_char @ E_1 @ c_Expr_Obop_OEq @ E_2) @ boolean)))))). % WTrtBinOpEq
thf(fact_37_refTE, axiom,
    ((![T : ty]: ((is_refT @ T) => ((~ ((T = nt))) => (~ ((![C : list_char]: (~ ((T = (class @ C)))))))))))). % refTE
thf(fact_38_conf, axiom,
    ((typeSa1777264139_sconf @ p @ e @ (produc52622304on_val @ ha @ la)))). % conf
thf(fact_39_bop_Oexhaust, axiom,
    ((![Y : bop]: ((~ ((Y = c_Expr_Obop_OEq))) => (Y = add))))). % bop.exhaust
thf(fact_40_bop_Oinduct, axiom,
    ((![P : bop > $o, Bop : bop]: ((P @ c_Expr_Obop_OEq) => ((P @ add) => (P @ Bop)))))). % bop.induct
thf(fact_41_bop_Odistinct_I1_J, axiom,
    ((~ ((c_Expr_Obop_OEq = add))))). % bop.distinct(1)
thf(fact_42_zero__reorient, axiom,
    ((![X4 : nat]: ((zero_zero_nat = X4) = (X4 = zero_zero_nat))))). % zero_reorient
thf(fact_43_is__refT__def, axiom,
    ((is_refT = (^[T2 : ty]: (((T2 = nt)) | ((?[C2 : list_char]: (T2 = (class @ C2))))))))). % is_refT_def
thf(fact_44_bop_Osize__gen_I1_J, axiom,
    (((size_bop @ c_Expr_Obop_OEq) = zero_zero_nat))). % bop.size_gen(1)
thf(fact_45_bop_Osize__gen_I2_J, axiom,
    (((size_bop @ add) = zero_zero_nat))). % bop.size_gen(2)
thf(fact_46_BinOpRed2_Ohyps_I2_J, axiom,
    ((![E : list_char > option_ty, T : ty]: ((typeSa1777264139_sconf @ p @ E @ (produc52622304on_val @ ha @ la)) => ((wTrt2 @ p @ ha @ E @ e_22 @ T) => (?[T3 : ty]: ((wTrt2 @ p @ h_a @ E @ e_2 @ T3) & (widen_917054840t_char @ p @ T3 @ T)))))))). % BinOpRed2.hyps(2)
thf(fact_47_IH, axiom,
    ((![E : list_char > option_ty, T : ty]: ((typeSa1777264139_sconf @ p @ E @ (produc52622304on_val @ ha @ la)) => ((wTrt2 @ p @ ha @ E @ e_22 @ T) => (?[U : ty]: ((wTrt2 @ p @ h_a @ E @ e_2 @ U) & (widen_917054840t_char @ p @ U @ T)))))))). % IH
thf(fact_48_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_49_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_50_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_51_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_52_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_53_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_54_surj__pair, axiom,
    ((![P2 : produc515445032on_val]: (?[X : nat > option2118145160on_val, Y4 : list_char > option_val]: (P2 = (produc52622304on_val @ X @ Y4)))))). % surj_pair
thf(fact_55_surj__pair, axiom,
    ((![P2 : produc1172664615on_val]: (?[X : produc1097884484on_val, Y4 : produc1097884484on_val]: (P2 = (produc1069526295on_val @ X @ Y4)))))). % surj_pair
thf(fact_56_surj__pair, axiom,
    ((![P2 : produc1097884484on_val]: (?[X : exp_list_char, Y4 : produc515445032on_val]: (P2 = (produc2023458740on_val @ X @ Y4)))))). % surj_pair
thf(fact_57_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_58_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_59_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_60_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_61_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_62_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_63_prod__cases3, axiom,
    ((![Y : produc1172664615on_val]: (~ ((![A4 : produc1097884484on_val, B3 : exp_list_char, C3 : produc515445032on_val]: (~ ((Y = (produc1069526295on_val @ A4 @ (produc2023458740on_val @ B3 @ C3))))))))))). % prod_cases3
thf(fact_64_prod__cases3, axiom,
    ((![Y : produc1097884484on_val]: (~ ((![A4 : exp_list_char, B3 : nat > option2118145160on_val, C3 : list_char > option_val]: (~ ((Y = (produc2023458740on_val @ A4 @ (produc52622304on_val @ B3 @ C3))))))))))). % prod_cases3
thf(fact_65_prod__cases4, axiom,
    ((![Y : produc1172664615on_val]: (~ ((![A4 : produc1097884484on_val, B3 : exp_list_char, C3 : nat > option2118145160on_val, D : list_char > option_val]: (~ ((Y = (produc1069526295on_val @ A4 @ (produc2023458740on_val @ B3 @ (produc52622304on_val @ C3 @ D)))))))))))). % prod_cases4
thf(fact_66_prod__induct3, axiom,
    ((![P : produc1172664615on_val > $o, X4 : produc1172664615on_val]: ((![A4 : produc1097884484on_val, B3 : exp_list_char, C3 : produc515445032on_val]: (P @ (produc1069526295on_val @ A4 @ (produc2023458740on_val @ B3 @ C3)))) => (P @ X4))))). % prod_induct3
thf(fact_67_prod__induct3, axiom,
    ((![P : produc1097884484on_val > $o, X4 : produc1097884484on_val]: ((![A4 : exp_list_char, B3 : nat > option2118145160on_val, C3 : list_char > option_val]: (P @ (produc2023458740on_val @ A4 @ (produc52622304on_val @ B3 @ C3)))) => (P @ X4))))). % prod_induct3
thf(fact_68_prod__induct4, axiom,
    ((![P : produc1172664615on_val > $o, X4 : produc1172664615on_val]: ((![A4 : produc1097884484on_val, B3 : exp_list_char, C3 : nat > option2118145160on_val, D : list_char > option_val]: (P @ (produc1069526295on_val @ A4 @ (produc2023458740on_val @ B3 @ (produc52622304on_val @ C3 @ D))))) => (P @ X4))))). % prod_induct4
thf(fact_69_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_70_old_Oprod_Oexhaust, axiom,
    ((![Y : produc1172664615on_val]: (~ ((![A4 : produc1097884484on_val, B3 : produc1097884484on_val]: (~ ((Y = (produc1069526295on_val @ A4 @ B3)))))))))). % old.prod.exhaust
thf(fact_71_old_Oprod_Oexhaust, axiom,
    ((![Y : produc1097884484on_val]: (~ ((![A4 : exp_list_char, B3 : produc515445032on_val]: (~ ((Y = (produc2023458740on_val @ A4 @ B3)))))))))). % old.prod.exhaust
thf(fact_72_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_73_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_74_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_75_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_76_widen__null, axiom,
    ((![P : list_P1234162913t_char, C4 : list_char]: (widen_917054840t_char @ P @ nt @ (class @ C4))))). % widen_null
thf(fact_77_Class__widen, axiom,
    ((![P : list_P1234162913t_char, C4 : list_char, T : ty]: ((widen_917054840t_char @ P @ (class @ C4) @ T) => (?[D2 : list_char]: (T = (class @ D2))))))). % Class_widen
thf(fact_78_bop_Osize_I3_J, axiom,
    (((size_size_bop @ c_Expr_Obop_OEq) = zero_zero_nat))). % bop.size(3)
thf(fact_79_widen__refl, axiom,
    ((![P : list_P1234162913t_char, T : ty]: (widen_917054840t_char @ P @ T @ T)))). % widen_refl
thf(fact_80_widen__trans, axiom,
    ((![P : list_P1234162913t_char, S : ty, U2 : ty, T : ty]: ((widen_917054840t_char @ P @ S @ U2) => ((widen_917054840t_char @ P @ U2 @ T) => (widen_917054840t_char @ P @ S @ T)))))). % widen_trans
thf(fact_81_bop_Osize_I4_J, axiom,
    (((size_size_bop @ add) = zero_zero_nat))). % bop.size(4)
thf(fact_82_red__reds_OBinOpRed2, axiom,
    ((![E2 : exp_list_char, S2 : produc515445032on_val, E3 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char, V_1 : val, Bop : bop]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S2) @ (produc2023458740on_val @ E3 @ S3)) @ (red @ P)) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (binOp_list_char @ (val_list_char @ V_1) @ Bop @ E2) @ S2) @ (produc2023458740on_val @ (binOp_list_char @ (val_list_char @ V_1) @ Bop @ E3) @ S3)) @ (red @ P)))))). % red_reds.BinOpRed2
thf(fact_83_red__reds_OBinOpRed1, axiom,
    ((![E2 : exp_list_char, S2 : produc515445032on_val, E3 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char, Bop : bop, E_2 : exp_list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S2) @ (produc2023458740on_val @ E3 @ S3)) @ (red @ P)) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (binOp_list_char @ E2 @ Bop @ E_2) @ S2) @ (produc2023458740on_val @ (binOp_list_char @ E3 @ Bop @ E_2) @ S3)) @ (red @ P)))))). % red_reds.BinOpRed1
thf(fact_84_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)) => ((wTrt2 @ P @ H @ E @ E2 @ T) => ((hconf_1244167010t_char @ P @ H) => (hconf_1244167010t_char @ P @ H2))))))). % red_preserves_hconf
thf(fact_85_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)) => ((wTrt2 @ P @ H @ E @ E2 @ T) => ((lconf_485928294t_char @ P @ H @ L @ E) => (lconf_485928294t_char @ P @ H2 @ L2 @ E))))))). % red_preserves_lconf
thf(fact_86_red__preserves__sconf, axiom,
    ((![E2 : exp_list_char, S2 : produc515445032on_val, E3 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char, E : list_char > option_ty, T : ty]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S2) @ (produc2023458740on_val @ E3 @ S3)) @ (red @ P)) => ((wTrt2 @ P @ (hp @ S2) @ E @ E2 @ T) => ((typeSa1777264139_sconf @ P @ E @ S2) => (typeSa1777264139_sconf @ P @ E @ S3))))))). % red_preserves_sconf
thf(fact_87_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_88_red__reds_OBinOpThrow2, axiom,
    ((![V_1 : val, Bop : bop, E2 : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (binOp_list_char @ (val_list_char @ V_1) @ Bop @ (throw_list_char @ E2)) @ S2) @ (produc2023458740on_val @ (throw_list_char @ E2) @ S2)) @ (red @ P))))). % red_reds.BinOpThrow2
thf(fact_89_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_90_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]: ((wTrt2 @ P @ H @ E @ E2 @ T) => ((hext @ H @ H2) => (wTrt2 @ P @ H2 @ E @ E2 @ T)))))). % WTrt_hext_mono
thf(fact_91_exp_Odistinct_I75_J, axiom,
    ((![X3 : val, X14 : exp_list_char]: (~ (((val_list_char @ X3) = (throw_list_char @ X14))))))). % exp.distinct(75)
thf(fact_92_exp_Odistinct_I97_J, axiom,
    ((![X41 : exp_list_char, X42 : bop, X43 : exp_list_char, X14 : exp_list_char]: (~ (((binOp_list_char @ X41 @ X42 @ X43) = (throw_list_char @ X14))))))). % exp.distinct(97)
thf(fact_93_WTrtThrow, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E2 : exp_list_char, T_r : ty, T : ty]: ((wTrt2 @ P @ H @ E @ E2 @ T_r) => ((is_refT @ T_r) => (wTrt2 @ P @ H @ E @ (throw_list_char @ E2) @ T)))))). % WTrtThrow
thf(fact_94_WTrt__elim__cases_I4_J, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E2 : exp_list_char, T : ty]: ((wTrt2 @ P @ H @ E @ (throw_list_char @ E2) @ T) => (~ ((![T_r2 : ty]: ((wTrt2 @ P @ H @ E @ E2 @ T_r2) => (~ ((is_refT @ T_r2))))))))))). % WTrt_elim_cases(4)
thf(fact_95_red__reds_OThrowThrow, axiom,
    ((![E2 : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (throw_list_char @ (throw_list_char @ E2)) @ S2) @ (produc2023458740on_val @ (throw_list_char @ E2) @ S2)) @ (red @ P))))). % red_reds.ThrowThrow
thf(fact_96_red__reds_OThrowRed, axiom,
    ((![E2 : exp_list_char, S2 : produc515445032on_val, E3 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S2) @ (produc2023458740on_val @ E3 @ S3)) @ (red @ P)) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (throw_list_char @ E2) @ S2) @ (produc2023458740on_val @ (throw_list_char @ E3) @ S3)) @ (red @ P)))))). % red_reds.ThrowRed
thf(fact_97_red__reds_OBinOpThrow1, axiom,
    ((![E2 : exp_list_char, Bop : bop, E_2 : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (binOp_list_char @ (throw_list_char @ E2) @ Bop @ E_2) @ S2) @ (produc2023458740on_val @ (throw_list_char @ E2) @ S2)) @ (red @ P))))). % red_reds.BinOpThrow1
thf(fact_98_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_99_WT__elim__cases_I9_J, axiom,
    ((![P : list_P1234162913t_char, E : list_char > option_ty, E_1 : exp_list_char, Bop : bop, E_2 : exp_list_char, T : ty]: ((wt @ P @ E @ (binOp_list_char @ E_1 @ Bop @ E_2) @ T) => (((Bop = c_Expr_Obop_OEq) => ((T = boolean) => (![T_12 : ty]: ((wt @ P @ E @ E_1 @ T_12) => (![T_2 : ty]: ((wt @ P @ E @ E_2 @ T_2) => (~ (((widen_917054840t_char @ P @ T_12 @ T_2) | (widen_917054840t_char @ P @ T_2 @ T_12)))))))))) => (~ (((Bop = add) => ((T = integer) => ((wt @ P @ E @ E_1 @ integer) => (~ ((wt @ P @ E @ E_2 @ integer))))))))))))). % WT_elim_cases(9)
thf(fact_100_red__reds_OFAssThrow2, axiom,
    ((![V : val, F : list_char, D3 : list_char, E2 : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ (val_list_char @ V) @ F @ D3 @ (throw_list_char @ E2)) @ S2) @ (produc2023458740on_val @ (throw_list_char @ E2) @ S2)) @ (red @ P))))). % red_reds.FAssThrow2
thf(fact_101_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_102_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_103_exp_Odistinct_I85_J, axiom,
    ((![X41 : exp_list_char, X42 : bop, X43 : exp_list_char, X81 : exp_list_char, X82 : list_char, X83 : list_char, X84 : exp_list_char]: (~ (((binOp_list_char @ X41 @ X42 @ X43) = (fAss_list_char @ X81 @ X82 @ X83 @ X84))))))). % exp.distinct(85)
thf(fact_104_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_105_WT__implies__WTrt, axiom,
    ((![P : list_P1234162913t_char, E : list_char > option_ty, E2 : exp_list_char, T : ty, H : nat > option2118145160on_val]: ((wt @ P @ E @ E2 @ T) => (wTrt2 @ P @ H @ E @ E2 @ T))))). % WT_implies_WTrt
thf(fact_106_WTThrow, axiom,
    ((![P : list_P1234162913t_char, E : list_char > option_ty, E2 : exp_list_char, C4 : list_char]: ((wt @ P @ E @ E2 @ (class @ C4)) => (wt @ P @ E @ (throw_list_char @ E2) @ void))))). % WTThrow
thf(fact_107_WT__elim__cases_I4_J, axiom,
    ((![P : list_P1234162913t_char, E : list_char > option_ty, E2 : exp_list_char, T : ty]: ((wt @ P @ E @ (throw_list_char @ E2) @ T) => (~ (((T = void) => (![C : list_char]: (~ ((wt @ P @ E @ E2 @ (class @ C)))))))))))). % WT_elim_cases(4)
thf(fact_108_WTBinOpAdd, axiom,
    ((![P : list_P1234162913t_char, E : list_char > option_ty, E_1 : exp_list_char, E_2 : exp_list_char]: ((wt @ P @ E @ E_1 @ integer) => ((wt @ P @ E @ E_2 @ integer) => (wt @ P @ E @ (binOp_list_char @ E_1 @ add @ E_2) @ integer)))))). % WTBinOpAdd
thf(fact_109_red__reds_OFAssRed1, axiom,
    ((![E2 : exp_list_char, S2 : produc515445032on_val, E3 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char, F : list_char, D3 : list_char, E_2 : exp_list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S2) @ (produc2023458740on_val @ E3 @ S3)) @ (red @ P)) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ E2 @ F @ D3 @ E_2) @ S2) @ (produc2023458740on_val @ (fAss_list_char @ E3 @ F @ D3 @ E_2) @ S3)) @ (red @ P)))))). % red_reds.FAssRed1
thf(fact_110_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_22 : ty, F : list_char, D3 : list_char]: ((wTrt2 @ P @ H @ E @ E_1 @ nt) => ((wTrt2 @ P @ H @ E @ E_2 @ T_22) => (wTrt2 @ P @ H @ E @ (fAss_list_char @ E_1 @ F @ D3 @ E_2) @ void)))))). % WTrtFAssNT
thf(fact_111_WTBinOpEq, axiom,
    ((![P : list_P1234162913t_char, E : list_char > option_ty, E_1 : exp_list_char, T_1 : ty, E_2 : exp_list_char, T_22 : ty]: ((wt @ P @ E @ E_1 @ T_1) => ((wt @ P @ E @ E_2 @ T_22) => (((widen_917054840t_char @ P @ T_1 @ T_22) | (widen_917054840t_char @ P @ T_22 @ T_1)) => (wt @ P @ E @ (binOp_list_char @ E_1 @ c_Expr_Obop_OEq @ E_2) @ boolean))))))). % WTBinOpEq
thf(fact_112_red__reds_OFAssRed2, axiom,
    ((![E2 : exp_list_char, S2 : produc515445032on_val, E3 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char, V : val, F : list_char, D3 : list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S2) @ (produc2023458740on_val @ E3 @ S3)) @ (red @ P)) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ (val_list_char @ V) @ F @ D3 @ E2) @ S2) @ (produc2023458740on_val @ (fAss_list_char @ (val_list_char @ V) @ F @ D3 @ E3) @ S3)) @ (red @ P)))))). % red_reds.FAssRed2
thf(fact_113_red__reds_OFAssThrow1, axiom,
    ((![E2 : exp_list_char, F : list_char, D3 : list_char, E_2 : exp_list_char, S2 : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAss_list_char @ (throw_list_char @ E2) @ F @ D3 @ E_2) @ S2) @ (produc2023458740on_val @ (throw_list_char @ E2) @ S2)) @ (red @ P))))). % red_reds.FAssThrow1
thf(fact_114_WTrt__elim__cases_I8_J, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E2 : exp_list_char, F : list_char, D3 : list_char, V : exp_list_char, T : ty]: ((wTrt2 @ P @ H @ E @ (fAss_list_char @ E2 @ F @ D3 @ V) @ T) => (((T = void) => (![C : list_char]: ((wTrt2 @ P @ H @ E @ E2 @ (class @ C)) => (![T4 : ty]: ((has_fi599584195t_char @ P @ C @ F @ T4 @ D3) => (![T_2 : ty]: ((wTrt2 @ P @ H @ E @ V @ T_2) => (~ ((widen_917054840t_char @ P @ T_2 @ T4)))))))))) => (~ (((T = void) => ((wTrt2 @ P @ H @ E @ E2 @ nt) => (![T_2 : ty]: (~ ((wTrt2 @ P @ H @ E @ V @ T_2))))))))))))). % WTrt_elim_cases(8)
thf(fact_115_WTrtFAss, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E_1 : exp_list_char, C4 : list_char, F : list_char, T : ty, D3 : list_char, E_2 : exp_list_char, T_22 : ty]: ((wTrt2 @ P @ H @ E @ E_1 @ (class @ C4)) => ((has_fi599584195t_char @ P @ C4 @ F @ T @ D3) => ((wTrt2 @ P @ H @ E @ E_2 @ T_22) => ((widen_917054840t_char @ P @ T_22 @ T) => (wTrt2 @ P @ H @ E @ (fAss_list_char @ E_1 @ F @ D3 @ E_2) @ void)))))))). % WTrtFAss
thf(fact_116_WTFAss, axiom,
    ((![P : list_P1234162913t_char, E : list_char > option_ty, E_1 : exp_list_char, C4 : list_char, F : list_char, T : ty, D3 : list_char, E_2 : exp_list_char, T5 : ty]: ((wt @ P @ E @ E_1 @ (class @ C4)) => ((sees_f1424843223t_char @ P @ C4 @ F @ T @ D3) => ((wt @ P @ E @ E_2 @ T5) => ((widen_917054840t_char @ P @ T5 @ T) => (wt @ P @ E @ (fAss_list_char @ E_1 @ F @ D3 @ E_2) @ void)))))))). % WTFAss
thf(fact_117_sees__field__fun, axiom,
    ((![P : list_P1234162913t_char, C4 : list_char, F : list_char, T : ty, D3 : list_char, T5 : ty, D4 : list_char]: ((sees_f1424843223t_char @ P @ C4 @ F @ T @ D3) => ((sees_f1424843223t_char @ P @ C4 @ F @ T5 @ D4) => ((T5 = T) & (D4 = D3))))))). % sees_field_fun
thf(fact_118_sees__field__idemp, axiom,
    ((![P : list_P1234162913t_char, C4 : list_char, F : list_char, T : ty, D3 : list_char]: ((sees_f1424843223t_char @ P @ C4 @ F @ T @ D3) => (sees_f1424843223t_char @ P @ D3 @ F @ T @ D3))))). % sees_field_idemp
thf(fact_119_has__visible__field, axiom,
    ((![P : list_P1234162913t_char, C4 : list_char, F : list_char, T : ty, D3 : list_char]: ((sees_f1424843223t_char @ P @ C4 @ F @ T @ D3) => (has_fi599584195t_char @ P @ C4 @ F @ T @ D3))))). % has_visible_field
thf(fact_120_WT__elim__cases_I8_J, axiom,
    ((![P : list_P1234162913t_char, E : list_char > option_ty, A : exp_list_char, F : list_char, D3 : list_char, V : exp_list_char, T : ty]: ((wt @ P @ E @ (fAss_list_char @ A @ F @ D3 @ V) @ T) => (~ (((T = void) => (![C : list_char]: ((wt @ P @ E @ A @ (class @ C)) => (![T4 : ty]: ((sees_f1424843223t_char @ P @ C @ F @ T4 @ D3) => (![T3 : ty]: ((wt @ P @ E @ V @ T3) => (~ ((widen_917054840t_char @ P @ T3 @ T4)))))))))))))))). % WT_elim_cases(8)
thf(fact_121_field__def2, axiom,
    ((![P : list_P1234162913t_char, C4 : list_char, F : list_char, T : ty, D3 : list_char]: ((sees_f1424843223t_char @ P @ C4 @ F @ T @ D3) => ((field_1562896919t_char @ P @ C4 @ F) = (produc1017542449har_ty @ D3 @ T)))))). % field_def2
thf(fact_122_WTrt__elim__cases_I7_J, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E2 : exp_list_char, F : list_char, D3 : list_char, T : ty]: ((wTrt2 @ P @ H @ E @ (fAcc_list_char @ E2 @ F @ D3) @ T) => ((![C : list_char]: ((wTrt2 @ P @ H @ E @ E2 @ (class @ C)) => (~ ((has_fi599584195t_char @ P @ C @ F @ T @ D3))))) => (wTrt2 @ P @ H @ E @ E2 @ nt)))))). % WTrt_elim_cases(7)
thf(fact_123_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_124_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_125_WTrtFAccNT, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E2 : exp_list_char, F : list_char, D3 : list_char, T : ty]: ((wTrt2 @ P @ H @ E @ E2 @ nt) => (wTrt2 @ P @ H @ E @ (fAcc_list_char @ E2 @ F @ D3) @ T))))). % WTrtFAccNT
thf(fact_126_exp_Odistinct_I83_J, axiom,
    ((![X41 : exp_list_char, X42 : bop, X43 : exp_list_char, X71 : exp_list_char, X72 : list_char, X73 : list_char]: (~ (((binOp_list_char @ X41 @ X42 @ X43) = (fAcc_list_char @ X71 @ X72 @ X73))))))). % exp.distinct(83)
thf(fact_127_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_128_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_129_red__reds_OFAccRed, axiom,
    ((![E2 : exp_list_char, S2 : produc515445032on_val, E3 : exp_list_char, S3 : produc515445032on_val, P : list_P1234162913t_char, F : list_char, D3 : list_char]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ S2) @ (produc2023458740on_val @ E3 @ S3)) @ (red @ P)) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAcc_list_char @ E2 @ F @ D3) @ S2) @ (produc2023458740on_val @ (fAcc_list_char @ E3 @ F @ D3) @ S3)) @ (red @ P)))))). % red_reds.FAccRed
thf(fact_130_WTrtFAcc, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E2 : exp_list_char, C4 : list_char, F : list_char, T : ty, D3 : list_char]: ((wTrt2 @ P @ H @ E @ E2 @ (class @ C4)) => ((has_fi599584195t_char @ P @ C4 @ F @ T @ D3) => (wTrt2 @ P @ H @ E @ (fAcc_list_char @ E2 @ F @ D3) @ T)))))). % WTrtFAcc
thf(fact_131_WT__elim__cases_I7_J, axiom,
    ((![P : list_P1234162913t_char, E : list_char > option_ty, A : exp_list_char, F : list_char, D3 : list_char, T : ty]: ((wt @ P @ E @ (fAcc_list_char @ A @ F @ D3) @ T) => (~ ((![C : list_char]: ((wt @ P @ E @ A @ (class @ C)) => (~ ((sees_f1424843223t_char @ P @ C @ F @ T @ D3))))))))))). % WT_elim_cases(7)
thf(fact_132_WTFAcc, axiom,
    ((![P : list_P1234162913t_char, E : list_char > option_ty, E2 : exp_list_char, C4 : list_char, F : list_char, T : ty, D3 : list_char]: ((wt @ P @ E @ E2 @ (class @ C4)) => ((sees_f1424843223t_char @ P @ C4 @ F @ T @ D3) => (wt @ P @ E @ (fAcc_list_char @ E2 @ F @ D3) @ T)))))). % WTFAcc
thf(fact_133_red__reds_OFAccThrow, axiom,
    ((![E2 : exp_list_char, F : list_char, D3 : list_char, S2 : produc515445032on_val, P : list_P1234162913t_char]: (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ (fAcc_list_char @ (throw_list_char @ E2) @ F @ D3) @ S2) @ (produc2023458740on_val @ (throw_list_char @ E2) @ S2)) @ (red @ P))))). % red_reds.FAccThrow
thf(fact_134_pred__equals__eq2, axiom,
    ((![R : set_Pr723149704on_val, S : set_Pr723149704on_val]: (((^[X2 : nat > option2118145160on_val]: (^[Y6 : list_char > option_val]: (member652041809on_val @ (produc52622304on_val @ X2 @ Y6) @ R))) = (^[X2 : nat > option2118145160on_val]: (^[Y6 : list_char > option_val]: (member652041809on_val @ (produc52622304on_val @ X2 @ Y6) @ S)))) = (R = S))))). % pred_equals_eq2
thf(fact_135_pred__equals__eq2, axiom,
    ((![R : set_Pr1189492743on_val, S : set_Pr1189492743on_val]: (((^[X2 : produc1097884484on_val]: (^[Y6 : produc1097884484on_val]: (member354538064on_val @ (produc1069526295on_val @ X2 @ Y6) @ R))) = (^[X2 : produc1097884484on_val]: (^[Y6 : produc1097884484on_val]: (member354538064on_val @ (produc1069526295on_val @ X2 @ Y6) @ S)))) = (R = S))))). % pred_equals_eq2
thf(fact_136_pred__equals__eq2, axiom,
    ((![R : set_Pr556513572on_val, S : set_Pr556513572on_val]: (((^[X2 : exp_list_char]: (^[Y6 : produc515445032on_val]: (member1888679917on_val @ (produc2023458740on_val @ X2 @ Y6) @ R))) = (^[X2 : exp_list_char]: (^[Y6 : produc515445032on_val]: (member1888679917on_val @ (produc2023458740on_val @ X2 @ Y6) @ S)))) = (R = S))))). % pred_equals_eq2
thf(fact_137_WTrt_H__WTrts_H_Ointros_I10_J, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E_1 : exp_list_char, C4 : list_char, F : list_char, T : ty, D3 : list_char, E_2 : exp_list_char, T_22 : ty]: ((wTrt @ P @ H @ E @ E_1 @ (class @ C4)) => ((has_fi599584195t_char @ P @ C4 @ F @ T @ D3) => ((wTrt @ P @ H @ E @ E_2 @ T_22) => ((widen_917054840t_char @ P @ T_22 @ T) => (wTrt @ P @ H @ E @ (fAss_list_char @ E_1 @ F @ D3 @ E_2) @ void)))))))). % WTrt'_WTrts'.intros(10)
thf(fact_138_red__lcl__add, 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, L_0 : list_char > option_val]: ((member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ (produc52622304on_val @ H @ L)) @ (produc2023458740on_val @ E3 @ (produc52622304on_val @ H2 @ L2))) @ (red @ P)) => (member354538064on_val @ (produc1069526295on_val @ (produc2023458740on_val @ E2 @ (produc52622304on_val @ H @ (map_ad1615113112ar_val @ L_0 @ L))) @ (produc2023458740on_val @ E3 @ (produc52622304on_val @ H2 @ (map_ad1615113112ar_val @ L_0 @ L2)))) @ (red @ P)))))). % red_lcl_add
thf(fact_139_WTrt_H__WTrts_H_Ointros_I9_J, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E2 : exp_list_char, F : list_char, D3 : list_char, T : ty]: ((wTrt @ P @ H @ E @ E2 @ nt) => (wTrt @ P @ H @ E @ (fAcc_list_char @ E2 @ F @ D3) @ T))))). % WTrt'_WTrts'.intros(9)
thf(fact_140_WTrt_H__WTrts_H_Ointros_I8_J, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E2 : exp_list_char, C4 : list_char, F : list_char, T : ty, D3 : list_char]: ((wTrt @ P @ H @ E @ E2 @ (class @ C4)) => ((has_fi599584195t_char @ P @ C4 @ F @ T @ D3) => (wTrt @ P @ H @ E @ (fAcc_list_char @ E2 @ F @ D3) @ T)))))). % WTrt'_WTrts'.intros(8)
thf(fact_141_WTrt_H__WTrts_H_Ointros_I6_J, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E_1 : exp_list_char, E_2 : exp_list_char]: ((wTrt @ P @ H @ E @ E_1 @ integer) => ((wTrt @ P @ H @ E @ E_2 @ integer) => (wTrt @ P @ H @ E @ (binOp_list_char @ E_1 @ add @ E_2) @ integer)))))). % WTrt'_WTrts'.intros(6)
thf(fact_142_WTrt_H__WTrts_H_Ointros_I11_J, 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_22 : ty, F : list_char, D3 : list_char]: ((wTrt @ P @ H @ E @ E_1 @ nt) => ((wTrt @ P @ H @ E @ E_2 @ T_22) => (wTrt @ P @ H @ E @ (fAss_list_char @ E_1 @ F @ D3 @ E_2) @ void)))))). % WTrt'_WTrts'.intros(11)
thf(fact_143_wt_H__iff__wt, axiom,
    ((wTrt = wTrt2))). % wt'_iff_wt
thf(fact_144_wt__wt_H, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E2 : exp_list_char, T : ty]: ((wTrt2 @ P @ H @ E @ E2 @ T) => (wTrt @ P @ H @ E @ E2 @ T))))). % wt_wt'
thf(fact_145_wt_H__wt, axiom,
    ((![P : list_P1234162913t_char, H : nat > option2118145160on_val, E : list_char > option_ty, E2 : exp_list_char, T : ty]: ((wTrt @ P @ H @ E @ E2 @ T) => (wTrt2 @ P @ H @ E @ E2 @ T))))). % wt'_wt

% Conjectures (1)
thf(conj_0, conjecture,
    ((t = integer))).
