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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP306_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:39:19 AM UTC 2026

% Result   : Theorem 1.31s 0.73s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   41 (  24 unt;   0 typ;   0 def)
%            Number of atoms       :   59 (  37 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   40 (  22   ~;  15   |;   0   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :  103 ( 101 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   29 (  27 usr;   1 prp; 0-3 aty)
%            Number of functors    :  613 ( 613 usr;  96 con; 0-3 aty)
%            Number of variables   :   37 (  37   !;   0   ?;  37   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    'Nat_set_set$': $tType ).

tff(type_def_6,type,
    'Bool_option$': $tType ).

tff(type_def_7,type,
    'Bool_option_set$': $tType ).

tff(type_def_8,type,
    'Nat_set_option$': $tType ).

tff(type_def_9,type,
    'Int_bool_fun$': $tType ).

tff(type_def_10,type,
    'B_character_data_ptr_b_character_data_ptr_fun$': $tType ).

tff(type_def_11,type,
    'C_b_character_data_ptr_c_sum_fun$': $tType ).

tff(type_def_12,type,
    'B_character_data_ptr_option_bool_fun$': $tType ).

tff(type_def_13,type,
    'Bool_int_fun$': $tType ).

tff(type_def_14,type,
    'Nat_nat_bool_fun_fun$': $tType ).

tff(type_def_15,type,
    'B_character_data_ptr_option_bool_option_bool_fun_fun$': $tType ).

tff(type_def_16,type,
    'Bool_set_set_bool_set_set_fun$': $tType ).

tff(type_def_17,type,
    'Bool_bool_option_fun$': $tType ).

tff(type_def_18,type,
    'B_character_data_ptr_c_sum_a_element_ptr_b_character_data_ptr_c_sum_sum_fun$': $tType ).

tff(type_def_19,type,
    'Int_option$': $tType ).

tff(type_def_20,type,
    'Bool_option_nat_option_bool_fun_fun$': $tType ).

tff(type_def_21,type,
    'B_character_data_ptr_option$': $tType ).

tff(type_def_22,type,
    'Nat_nat_set_nat_set_fun_fun$': $tType ).

tff(type_def_23,type,
    'Bool_bool_sum$': $tType ).

tff(type_def_24,type,
    'Bool_option_b_character_data_ptr_option_bool_fun_fun$': $tType ).

tff(type_def_25,type,
    'Int_set$': $tType ).

tff(type_def_26,type,
    'B_character_data_ptr_bool_fun$': $tType ).

tff(type_def_27,type,
    'Bool_set_bool_set_fun_bool_set_bool_set_fun_fun$': $tType ).

tff(type_def_28,type,
    'A_element_ptr_bool_fun$': $tType ).

tff(type_def_29,type,
    'Nat_set_set_nat_set_set_fun$': $tType ).

tff(type_def_30,type,
    'Bool_option_bool_fun$': $tType ).

tff(type_def_31,type,
    'Nat_nat_sum_bool_set_bool_set_fun_fun$': $tType ).

tff(type_def_32,type,
    'A_element_ptr_b_character_data_ptr_c_sum_sum$': $tType ).

tff(type_def_33,type,
    'Nat_bool_set_fun$': $tType ).

tff(type_def_34,type,
    'Nat_bool_set_bool_set_fun_fun$': $tType ).

tff(type_def_35,type,
    'B_character_data_ptr_option_set$': $tType ).

tff(type_def_36,type,
    'B_character_data_ptr_option_b_character_data_ptr_fun$': $tType ).

tff(type_def_37,type,
    'Bool_bool_option_fun_bool_option_fun$': $tType ).

tff(type_def_38,type,
    'Nat_option$': $tType ).

tff(type_def_39,type,
    'Bool_option_bool_option_bool_fun_fun$': $tType ).

tff(type_def_40,type,
    'Nat_nat_fun$': $tType ).

tff(type_def_41,type,
    'B_character_data_ptr_b_character_data_ptr_c_sum_fun$': $tType ).

tff(type_def_42,type,
    'Bool_nat_option_fun$': $tType ).

tff(type_def_43,type,
    'C$': $tType ).

tff(type_def_44,type,
    'Bool_bool_sum_set$': $tType ).

tff(type_def_45,type,
    'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$': $tType ).

tff(type_def_46,type,
    'A_element_ptr$': $tType ).

tff(type_def_47,type,
    'Nat$': $tType ).

tff(type_def_48,type,
    'Nat_nat_option_fun_nat_option_fun$': $tType ).

tff(type_def_49,type,
    'Bool_bool_set_bool_set_fun_fun$': $tType ).

tff(type_def_50,type,
    'Bool_set_set$': $tType ).

tff(type_def_51,type,
    'B_character_data_ptr_nat_option_fun$': $tType ).

tff(type_def_52,type,
    'B_character_data_ptr_c_sum$': $tType ).

tff(type_def_53,type,
    'Nat_bool_option_fun$': $tType ).

tff(type_def_54,type,
    'B_character_data_ptr_b_character_data_ptr_option_fun$': $tType ).

tff(type_def_55,type,
    'A_element_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_fun$': $tType ).

tff(type_def_56,type,
    'Bool_set_option$': $tType ).

tff(type_def_57,type,
    'C_b_character_data_ptr_option_fun$': $tType ).

tff(type_def_58,type,
    'Bool_nat_fun$': $tType ).

tff(type_def_59,type,
    'B_character_data_ptr_option_nat_option_bool_fun_fun$': $tType ).

tff(type_def_60,type,
    'Nat_set_nat_set_fun$': $tType ).

tff(type_def_61,type,
    tlbool: $tType ).

tff(type_def_62,type,
    'Bool_bool_sum_bool_fun$': $tType ).

tff(type_def_63,type,
    'B_character_data_ptr$': $tType ).

tff(type_def_64,type,
    'A_element_ptr_b_character_data_ptr_option_fun$': $tType ).

tff(type_def_65,type,
    'Bool_set_bool_set_bool_set_fun_fun$': $tType ).

tff(type_def_66,type,
    'Bool_bool_set_set_bool_set_set_fun_fun$': $tType ).

tff(type_def_67,type,
    'B_character_data_ptr_c_sum_b_character_data_ptr_option_fun$': $tType ).

tff(type_def_68,type,
    'Nat_b_character_data_ptr_fun$': $tType ).

tff(type_def_69,type,
    'Nat_set_bool_fun$': $tType ).

tff(type_def_70,type,
    'Nat_nat_set_fun$': $tType ).

tff(type_def_71,type,
    'Bool_node_ptr$': $tType ).

tff(type_def_72,type,
    'A_element_ptr_option$': $tType ).

tff(type_def_73,type,
    'Nat_option_bool_option_bool_fun_fun$': $tType ).

tff(type_def_74,type,
    'A_element_ptr_b_character_data_ptr_c_sum_sum_b_character_data_ptr_option_fun$': $tType ).

tff(type_def_75,type,
    'Bool_b_character_data_ptr_fun$': $tType ).

tff(type_def_76,type,
    'Bool_bool_fun$': $tType ).

tff(type_def_77,type,
    'Nat_b_character_data_ptr_option_fun$': $tType ).

tff(type_def_78,type,
    'B_character_data_ptr_set$': $tType ).

tff(type_def_79,type,
    'Int_set_bool_fun$': $tType ).

tff(type_def_80,type,
    'Bool_b_character_data_ptr_option_fun$': $tType ).

tff(type_def_81,type,
    'Bool_bool_set_fun$': $tType ).

tff(type_def_82,type,
    'Nat_filter$': $tType ).

tff(type_def_83,type,
    'B_character_data_ptr_option_b_character_data_ptr_option_fun$': $tType ).

tff(type_def_84,type,
    'B_character_data_ptr_b_character_data_ptr_option_fun_b_character_data_ptr_option_fun$': $tType ).

tff(type_def_85,type,
    'Nat_option_set$': $tType ).

tff(type_def_86,type,
    'Nat_option_b_character_data_ptr_option_bool_fun_fun$': $tType ).

tff(type_def_87,type,
    'A_element_ptr_b_character_data_ptr_c_sum_sum_bool_fun$': $tType ).

tff(type_def_88,type,
    'Bool_bool_bool_sum_fun$': $tType ).

tff(type_def_89,type,
    'B_character_data_ptr_bool_option_fun$': $tType ).

tff(type_def_90,type,
    'Bool_set_bool_set_fun$': $tType ).

tff(type_def_91,type,
    'B_character_data_ptr_c_sum_bool_fun$': $tType ).

tff(type_def_92,type,
    'Nat_nat_set_set_nat_set_set_fun_fun$': $tType ).

tff(type_def_93,type,
    'Nat_bool_bool_fun_fun$': $tType ).

tff(type_def_94,type,
    'Bool_set_bool_fun$': $tType ).

tff(type_def_95,type,
    'Nat_bool_fun$': $tType ).

tff(type_def_96,type,
    'B_character_data_ptr_element_ptr$': $tType ).

tff(type_def_97,type,
    'Bool_set$': $tType ).

tff(type_def_98,type,
    'Bool_filter$': $tType ).

tff(type_def_99,type,
    'Nat_option_bool_fun$': $tType ).

tff(type_def_100,type,
    'Nat_set$': $tType ).

tff(type_def_101,type,
    'B_character_data_ptr_option_b_character_data_ptr_option_bool_fun_fun$': $tType ).

tff(type_def_102,type,
    'Nat_nat_option_fun$': $tType ).

tff(type_def_103,type,
    'Nat_int_fun$': $tType ).

tff(type_def_104,type,
    'Nat_nat_sum_bool_set_fun$': $tType ).

tff(type_def_105,type,
    'Nat_option_nat_option_bool_fun_fun$': $tType ).

tff(func_def_0,type,
    'uvm$': 'Bool_set_bool_set_fun$' > 'Bool_set_bool_set_bool_set_fun_fun$' ).

tff(func_def_1,type,
    'uua$': 'Bool_bool_fun$' ).

tff(func_def_2,type,
    'fun_app$d': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).

tff(func_def_3,type,
    'image$e': 'Bool_bool_fun$' > 'Bool_set_bool_set_fun$' ).

tff(func_def_4,type,
    'fold$a': ( 'Nat_bool_set_bool_set_fun_fun$' * 'Bool_set$' * 'Nat_set$' ) > 'Bool_set$' ).

tff(func_def_5,type,
    'bot$d': 'B_character_data_ptr_set$' ).

tff(func_def_6,type,
    'bot$k': 'Nat_set_bool_fun$' ).

tff(func_def_7,type,
    'comp$c': ( 'B_character_data_ptr_c_sum_b_character_data_ptr_option_fun$' * 'C_b_character_data_ptr_c_sum_fun$' ) > 'C_b_character_data_ptr_option_fun$' ).

tff(func_def_8,type,
    'fun_app$ar': ( 'Nat_nat_option_fun_nat_option_fun$' * 'Nat_nat_option_fun$' ) > 'Nat_option$' ).

tff(func_def_9,type,
    def_22: ( tlbool * 'Bool_bool_fun$' ) > tlbool ).

tff(func_def_10,type,
    'case_sum$c': ( 'Nat_bool_set_fun$' * 'Nat_bool_set_fun$' ) > 'Nat_nat_sum_bool_set_fun$' ).

tff(func_def_11,type,
    'fold$b': ( 'Nat_bool_bool_fun_fun$' * tlbool ) > 'Nat_set_bool_fun$' ).

tff(func_def_12,type,
    'ext$a': tlbool > 'Bool_node_ptr$' ).

tff(func_def_13,type,
    'bot$l': 'Int_bool_fun$' ).

tff(func_def_14,type,
    def_2: ( 'B_character_data_ptr_bool_fun$' * 'B_character_data_ptr$' ) > tlbool ).

tff(func_def_15,type,
    'fun_app$bb': ( 'B_character_data_ptr_option_nat_option_bool_fun_fun$' * 'B_character_data_ptr_option$' ) > 'Nat_option_bool_fun$' ).

tff(func_def_16,type,
    'bot$j': 'B_character_data_ptr_option_bool_fun$' ).

tff(func_def_17,type,
    'image$k': ( 'Bool_nat_fun$' * 'Bool_set$' ) > 'Nat_set$' ).

tff(func_def_18,type,
    'comp$m': ( 'Nat_bool_set_fun$' * 'Nat_nat_fun$' ) > 'Nat_bool_set_fun$' ).

tff(func_def_19,type,
    'bind$h': ( 'Nat_option$' * 'Nat_bool_option_fun$' ) > 'Bool_option$' ).

tff(func_def_20,type,
    'none$': 'B_character_data_ptr_option$' ).

tff(func_def_21,type,
    'fold$f': ( 'Bool_bool_set_set_bool_set_set_fun_fun$' * 'Bool_set_set$' * 'Bool_set$' ) > 'Bool_set_set$' ).

tff(func_def_22,type,
    'comp$g': ( 'Bool_set_bool_set_bool_set_fun_fun$' * 'Nat_bool_set_fun$' ) > 'Nat_bool_set_bool_set_fun_fun$' ).

tff(func_def_23,type,
    def_26: ( 'Bool_bool_fun$' * tlbool ) > tlbool ).

tff(func_def_24,type,
    def_11: ( 'B_character_data_ptr_bool_fun$' * 'B_character_data_ptr$' ) > tlbool ).

tff(func_def_25,type,
    'bind$a': 'Bool_option$' > 'Bool_bool_option_fun_bool_option_fun$' ).

tff(func_def_26,type,
    def_29: 'Bool_bool_sum$' > tlbool ).

tff(func_def_27,type,
    'insert$a': 'Nat$' > 'Nat_set_nat_set_fun$' ).

tff(func_def_28,type,
    'fun_upd$': ( 'Bool_bool_set_fun$' * tlbool * 'Bool_set$' ) > 'Bool_bool_set_fun$' ).

tff(func_def_29,type,
    def_31: 'Bool_set$' > tlbool ).

tff(func_def_30,type,
    'uwo$': ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).

tff(func_def_31,type,
    'fun_app$ag': ( 'Bool_b_character_data_ptr_fun$' * tlbool ) > 'B_character_data_ptr$' ).

tff(func_def_32,type,
    'uvr$': tlbool > 'Bool_bool_fun$' ).

tff(func_def_33,type,
    'uuw$': 'B_character_data_ptr_option$' > 'A_element_ptr_b_character_data_ptr_option_fun$' ).

tff(func_def_34,type,
    'fun_app$x': ( 'Nat_bool_set_bool_set_fun_fun$' * 'Nat$' ) > 'Bool_set_bool_set_fun$' ).

tff(func_def_35,type,
    def_41: ( tlbool * tlbool ) > tlbool ).

tff(func_def_36,type,
    'fun_upd$a': ( 'Bool_bool_fun$' * tlbool * tlbool ) > 'Bool_bool_fun$' ).

tff(func_def_37,type,
    'uwt$': ( 'Nat_set$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat_nat_bool_fun_fun$' ).

tff(func_def_38,type,
    'insert$c': ( $int * 'Int_set$' ) > 'Int_set$' ).

tff(func_def_39,type,
    'member$a': tlbool > 'Bool_set_bool_fun$' ).

tff(func_def_40,type,
    'uwp$': ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).

tff(func_def_41,type,
    def_38: ( 'Bool_bool_fun$' * tlbool ) > tlbool ).

tff(func_def_42,type,
    'the$e': 'Nat_set_option$' > 'Nat_set$' ).

tff(func_def_43,type,
    def_37: ( 'Bool_bool_fun$' * tlbool ) > tlbool ).

tff(func_def_44,type,
    'bind$': 'B_character_data_ptr_option$' > 'B_character_data_ptr_b_character_data_ptr_option_fun_b_character_data_ptr_option_fun$' ).

tff(func_def_45,type,
    'is_element_ptr_e_l_e_m_e_n_t_p_t_r$': 'A_element_ptr_bool_fun$' ).

tff(func_def_46,type,
    'projr$': 'B_character_data_ptr_c_sum$' > 'C$' ).

tff(func_def_47,type,
    'uxf$': 'Bool_bool_set_set_bool_set_set_fun_fun$' ).

tff(func_def_48,type,
    'some$c': 'A_element_ptr$' > 'A_element_ptr_option$' ).

tff(func_def_49,type,
    'fun_app$y': ( 'Bool_bool_set_bool_set_fun_fun$' * tlbool ) > 'Bool_set_bool_set_fun$' ).

tff(func_def_50,type,
    'comp$o': ( 'Bool_set_bool_set_bool_set_fun_fun$' * 'Bool_set_bool_set_fun$' ) > 'Bool_set_bool_set_bool_set_fun_fun$' ).

tff(func_def_51,type,
    'fold$e': ( 'Nat_nat_set_set_nat_set_set_fun_fun$' * 'Nat_set_set$' * 'Nat_set$' ) > 'Nat_set_set$' ).

tff(func_def_52,type,
    'is_empty$c': 'Bool_set_bool_fun$' ).

tff(func_def_53,type,
    'uwj$': ( 'Bool_bool_set_fun$' * 'Bool_set$' ) > 'Bool_bool_set_fun$' ).

tff(func_def_54,type,
    'image$d': ( 'B_character_data_ptr_option_b_character_data_ptr_fun$' * 'B_character_data_ptr_option_set$' ) > 'B_character_data_ptr_set$' ).

tff(func_def_55,type,
    'some$a': 'Bool_bool_option_fun$' ).

tff(func_def_56,type,
    'sup_fin$': 'Nat_set$' > 'Nat$' ).

tff(func_def_57,type,
    'fun_app$ao': ( 'Nat_nat_option_fun$' * 'Nat$' ) > 'Nat_option$' ).

tff(func_def_58,type,
    def_33: 'Bool_set$' > tlbool ).

tff(func_def_59,type,
    'comp$h': ( 'B_character_data_ptr_option_b_character_data_ptr_option_fun$' * 'A_element_ptr_b_character_data_ptr_c_sum_sum_b_character_data_ptr_option_fun$' ) > 'A_element_ptr_b_character_data_ptr_c_sum_sum_b_character_data_ptr_option_fun$' ).

tff(func_def_60,type,
    'isl$a': 'B_character_data_ptr_c_sum_bool_fun$' ).

tff(func_def_61,type,
    def_39: 'Bool_set$' > tlbool ).

tff(func_def_62,type,
    'comp$b': ( 'B_character_data_ptr_c_sum_b_character_data_ptr_option_fun$' * 'B_character_data_ptr_b_character_data_ptr_c_sum_fun$' ) > 'B_character_data_ptr_b_character_data_ptr_option_fun$' ).

tff(func_def_63,type,
    'the$f': 'Int_option$' > $int ).

tff(func_def_64,type,
    'the$b': 'Nat_option$' > 'Nat$' ).

tff(func_def_65,type,
    'image$i': ( 'Bool_bool_bool_sum_fun$' * 'Bool_set$' ) > 'Bool_bool_sum_set$' ).

tff(func_def_66,type,
    'comp$f': ( 'Bool_set_bool_set_bool_set_fun_fun$' * 'Nat_nat_sum_bool_set_fun$' ) > 'Nat_nat_sum_bool_set_bool_set_fun_fun$' ).

tff(func_def_67,type,
    'uwb$': 'B_character_data_ptr_option_set$' > 'B_character_data_ptr_option_bool_fun$' ).

tff(func_def_68,type,
    def_5: ( tlbool * 'B_character_data_ptr_bool_fun$' * 'B_character_data_ptr_option$' ) > tlbool ).

tff(func_def_69,type,
    'comp$k': ( 'B_character_data_ptr_option_b_character_data_ptr_option_fun$' * 'B_character_data_ptr_b_character_data_ptr_option_fun$' ) > 'B_character_data_ptr_b_character_data_ptr_option_fun$' ).

tff(func_def_70,type,
    'is_none$b': 'Nat_option_bool_fun$' ).

tff(func_def_71,type,
    'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' > 'B_character_data_ptr_option$' ).

tff(func_def_72,type,
    'uws$': ( 'Nat_set$' * 'Nat_set$' ) > 'Nat_bool_fun$' ).

tff(func_def_73,type,
    'sup$d': 'Bool_set_set$' > 'Bool_set$' ).

tff(func_def_74,type,
    'fun_app$bc': ( 'Bool_option_b_character_data_ptr_option_bool_fun_fun$' * 'Bool_option$' ) > 'B_character_data_ptr_option_bool_fun$' ).

tff(func_def_75,type,
    'case_option$': ( tlbool * 'B_character_data_ptr_bool_fun$' ) > 'B_character_data_ptr_option_bool_fun$' ).

tff(func_def_76,type,
    'fun_app$r': ( 'A_element_ptr_b_character_data_ptr_c_sum_sum_b_character_data_ptr_option_fun$' * 'A_element_ptr_b_character_data_ptr_c_sum_sum$' ) > 'B_character_data_ptr_option$' ).

tff(func_def_77,type,
    'comp$e': ( 'Bool_bool_fun$' * 'Bool_bool_fun$' ) > 'Bool_bool_fun$' ).

tff(func_def_78,type,
    'uvt$': ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).

tff(func_def_79,type,
    'uvp$': tlbool > 'Bool_bool_fun$' ).

tff(func_def_80,type,
    def_35: 'Bool_set$' > tlbool ).

tff(func_def_81,type,
    'uwz$': 'Nat_bool_fun$' > 'Nat_bool_set_bool_set_fun_fun$' ).

tff(func_def_82,type,
    'uxe$': 'Nat_nat_set_set_nat_set_set_fun_fun$' ).

tff(func_def_83,type,
    'some$': 'B_character_data_ptr_b_character_data_ptr_option_fun$' ).

tff(func_def_84,type,
    'fun_app$e': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).

tff(func_def_85,type,
    'collect$e': 'Nat_bool_fun$' > 'Nat_set$' ).

tff(func_def_86,type,
    'is_none$a': 'Bool_option_bool_fun$' ).

tff(func_def_87,type,
    'uvh$': 'B_character_data_ptr_option_bool_fun$' ).

tff(func_def_88,type,
    'fun_app$az': ( 'B_character_data_ptr_option_b_character_data_ptr_option_bool_fun_fun$' * 'B_character_data_ptr_option$' ) > 'B_character_data_ptr_option_bool_fun$' ).

tff(func_def_89,type,
    'set_option$d': 'Bool_option$' > 'Bool_set$' ).

tff(func_def_90,type,
    'arg_min_on$': ( 'Nat_int_fun$' * 'Nat_set$' ) > 'Nat$' ).

tff(func_def_91,type,
    def_36: ( tlbool * tlbool ) > tlbool ).

tff(func_def_92,type,
    'uxa$': 'Nat_bool_fun$' > 'Nat_nat_set_nat_set_fun_fun$' ).

tff(func_def_93,type,
    'fun_app$av': ( 'Bool_b_character_data_ptr_option_fun$' * tlbool ) > 'B_character_data_ptr_option$' ).

tff(func_def_94,type,
    'fun_app$ax': ( 'Nat_b_character_data_ptr_option_fun$' * 'Nat$' ) > 'B_character_data_ptr_option$' ).

tff(func_def_95,type,
    'projr$a': 'A_element_ptr_b_character_data_ptr_c_sum_sum$' > 'B_character_data_ptr_c_sum$' ).

tff(func_def_96,type,
    'image$l': ( 'Nat_bool_set_fun$' * 'Nat_set$' ) > 'Bool_set_set$' ).

tff(func_def_97,type,
    'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$': 'A_element_ptr$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' ).

tff(func_def_98,type,
    'uwh$': ( tlbool * 'Bool_bool_set_fun$' ) > 'Bool_bool_set_fun$' ).

tff(func_def_99,type,
    'uwf$': tlbool > 'Nat_bool_fun$' ).

tff(func_def_100,type,
    'less$a': 'Nat_nat_bool_fun_fun$' ).

tff(func_def_101,type,
    'plus$': ( 'Bool_set$' * 'Bool_set$' ) > 'Bool_bool_sum_set$' ).

tff(func_def_102,type,
    'case_sum$': ( 'A_element_ptr_b_character_data_ptr_option_fun$' * 'B_character_data_ptr_c_sum_b_character_data_ptr_option_fun$' ) > 'A_element_ptr_b_character_data_ptr_c_sum_sum_b_character_data_ptr_option_fun$' ).

tff(func_def_103,type,
    'fun_app$h': ( 'Nat_set_set_nat_set_set_fun$' * 'Nat_set_set$' ) > 'Nat_set_set$' ).

tff(func_def_104,type,
    'is_empty$b': 'Int_set_bool_fun$' ).

tff(func_def_105,type,
    def_10: ( tlbool * 'B_character_data_ptr_bool_fun$' * 'B_character_data_ptr_option$' ) > tlbool ).

tff(func_def_106,type,
    'uvw$': ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).

tff(func_def_107,type,
    def_44: 'Bool_set$' > tlbool ).

tff(func_def_108,type,
    'sup$c': 'Bool_set_bool_set_bool_set_fun_fun$' ).

tff(func_def_109,type,
    'uvk$': 'Bool_bool_fun$' ).

tff(func_def_110,type,
    'setr$': 'Bool_bool_sum$' > 'Bool_set$' ).

tff(func_def_111,type,
    'uub$': 'Nat_bool_fun$' ).

tff(func_def_112,type,
    'uwx$': 'Nat_bool_fun$' > 'Nat_bool_bool_fun_fun$' ).

tff(func_def_113,type,
    'image$c': ( 'Nat_nat_fun$' * 'Nat_set$' ) > 'Nat_set$' ).

tff(func_def_114,type,
    'projl$b': 'Bool_bool_sum_bool_fun$' ).

tff(func_def_115,type,
    'top$c': 'Nat_option_set$' ).

tff(func_def_116,type,
    'member$e': $int > 'Int_set_bool_fun$' ).

tff(func_def_117,type,
    'projr$b': 'Bool_bool_sum_bool_fun$' ).

tff(func_def_118,type,
    'bind$e': ( 'Bool_option$' * 'Bool_b_character_data_ptr_option_fun$' ) > 'B_character_data_ptr_option$' ).

tff(func_def_119,type,
    'uuz$': 'B_character_data_ptr_option$' > 'C_b_character_data_ptr_option_fun$' ).

tff(func_def_120,type,
    'uvf$': 'A_element_ptr_b_character_data_ptr_option_fun$' ).

tff(func_def_121,type,
    'of_nat$': 'Nat_int_fun$' ).

tff(func_def_122,type,
    'inl$': 'B_character_data_ptr_b_character_data_ptr_c_sum_fun$' ).

tff(func_def_123,type,
    'case_option$a': ( 'B_character_data_ptr$' * 'B_character_data_ptr_b_character_data_ptr_fun$' ) > 'B_character_data_ptr_option_b_character_data_ptr_fun$' ).

tff(func_def_124,type,
    'uxd$': ( 'Bool_set$' * 'Bool_bool_set_fun$' ) > 'Bool_bool_set_fun$' ).

tff(func_def_125,type,
    'uwr$': 'Bool_bool_fun$' > 'Bool_bool_fun$' ).

tff(func_def_126,type,
    'insert$e': ( 'Bool_set$' * 'Bool_set_set$' ) > 'Bool_set_set$' ).

tff(func_def_127,type,
    'less$c': 'Nat_set$' > 'Nat_set_bool_fun$' ).

tff(func_def_128,type,
    'bind$c': ( 'B_character_data_ptr_option$' * 'B_character_data_ptr_bool_option_fun$' ) > 'Bool_option$' ).

tff(func_def_129,type,
    'case_option$e': ( 'Nat$' * 'Nat_nat_fun$' * 'Nat_option$' ) > 'Nat$' ).

tff(func_def_130,type,
    'ext$': 'A_element_ptr_b_character_data_ptr_c_sum_sum$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' ).

tff(func_def_131,type,
    'uuu$': 'B_character_data_ptr_c_sum_b_character_data_ptr_option_fun$' > 'B_character_data_ptr_b_character_data_ptr_option_fun$' ).

tff(func_def_132,type,
    'fun_app$ap': ( 'B_character_data_ptr_b_character_data_ptr_option_fun_b_character_data_ptr_option_fun$' * 'B_character_data_ptr_b_character_data_ptr_option_fun$' ) > 'B_character_data_ptr_option$' ).

tff(func_def_133,type,
    'bot$': 'Bool_set$' ).

tff(func_def_134,type,
    'fun_app$af': ( 'B_character_data_ptr_option_b_character_data_ptr_option_fun$' * 'B_character_data_ptr_option$' ) > 'B_character_data_ptr_option$' ).

tff(func_def_135,type,
    'none$b': 'Nat_option$' ).

tff(func_def_136,type,
    'uvv$': ( 'Nat$' * 'Nat_set$' ) > 'Nat_bool_fun$' ).

tff(func_def_137,type,
    def_21: ( 'Bool_bool_fun$' * tlbool ) > tlbool ).

tff(func_def_138,type,
    'bot$m': 'Bool_option_set$' ).

tff(func_def_139,type,
    'insert$b': ( 'Bool_option$' * 'Bool_option_set$' ) > 'Bool_option_set$' ).

tff(func_def_140,type,
    'fun_app$ad': ( 'B_character_data_ptr_b_character_data_ptr_fun$' * 'B_character_data_ptr$' ) > 'B_character_data_ptr$' ).

tff(func_def_141,type,
    def_1: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).

tff(func_def_142,type,
    'uvn$': 'Nat_b_character_data_ptr_fun$' ).

tff(func_def_143,type,
    'uwg$': 'Bool_bool_set_fun$' ).

tff(func_def_144,type,
    'sup$h': ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).

tff(func_def_145,type,
    def_28: ( 'Bool_bool_fun$' * tlbool ) > tlbool ).

tff(func_def_146,type,
    'fun_app$ay': ( 'Nat_bool_option_fun$' * 'Nat$' ) > 'Bool_option$' ).

tff(func_def_147,type,
    def_9: ( 'Bool_bool_fun$' * tlbool ) > tlbool ).

tff(func_def_148,type,
    def_43: 'Bool_set$' > tlbool ).

tff(func_def_149,type,
    'some$b': 'Nat_nat_option_fun$' ).

tff(func_def_150,type,
    'the$d': 'Bool_set_option$' > 'Bool_set$' ).

tff(func_def_151,type,
    tltrue: tlbool ).

tff(func_def_152,type,
    def_42: 'Bool_set$' > tlbool ).

tff(func_def_153,type,
    'uvs$': ( tlbool * 'Bool_bool_fun$' ) > 'Bool_bool_fun$' ).

tff(func_def_154,type,
    'set_node_ptr$': 'Bool_node_ptr$' > 'Bool_set$' ).

tff(func_def_155,type,
    'top$': 'Bool_set$' ).

tff(func_def_156,type,
    'fun_app$bm': ( 'Nat_bool_set_fun$' * 'Nat$' ) > 'Bool_set$' ).

tff(func_def_157,type,
    'uxb$': 'Bool_bool_fun$' > 'Bool_bool_set_bool_set_fun_fun$' ).

tff(func_def_158,type,
    'projl$a': 'A_element_ptr_b_character_data_ptr_c_sum_sum$' > 'A_element_ptr$' ).

tff(func_def_159,type,
    'none$d': 'Bool_set_option$' ).

tff(func_def_160,type,
    'uui$': ( 'B_character_data_ptr_b_character_data_ptr_fun$' * 'B_character_data_ptr_b_character_data_ptr_fun$' ) > 'B_character_data_ptr_b_character_data_ptr_fun$' ).

tff(func_def_161,type,
    'case_element_ptr$': ( 'Nat_b_character_data_ptr_fun$' * 'B_character_data_ptr_b_character_data_ptr_fun$' * 'B_character_data_ptr_element_ptr$' ) > 'B_character_data_ptr$' ).

tff(func_def_162,type,
    'uwc$': ( 'Nat_nat_fun$' * 'Nat_set$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).

tff(func_def_163,type,
    'collect$': 'Bool_set_bool_fun$' > 'Bool_set_set$' ).

tff(func_def_164,type,
    'case_option$c': ( tlbool * 'Nat_bool_fun$' ) > 'Nat_option_bool_fun$' ).

tff(func_def_165,type,
    'the_elem$': 'Bool_set_bool_fun$' ).

tff(func_def_166,type,
    'fold$c': ( 'Nat_nat_set_nat_set_fun_fun$' * 'Nat_set$' * 'Nat_set$' ) > 'Nat_set$' ).

tff(func_def_167,type,
    'uve$': ( 'B_character_data_ptr_option_b_character_data_ptr_option_fun$' * 'A_element_ptr_b_character_data_ptr_c_sum_sum_b_character_data_ptr_option_fun$' ) > 'A_element_ptr_b_character_data_ptr_c_sum_sum_b_character_data_ptr_option_fun$' ).

tff(func_def_168,type,
    'minus$b': ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).

tff(func_def_169,type,
    'uva$': ( 'B_character_data_ptr_option_b_character_data_ptr_option_fun$' * 'A_element_ptr_b_character_data_ptr_option_fun$' ) > 'A_element_ptr_b_character_data_ptr_option_fun$' ).

tff(func_def_170,type,
    'bind$b': 'Nat_option$' > 'Nat_nat_option_fun_nat_option_fun$' ).

tff(func_def_171,type,
    'fun_app$i': ( 'Nat_nat_set_set_nat_set_set_fun_fun$' * 'Nat$' ) > 'Nat_set_set_nat_set_set_fun$' ).

tff(func_def_172,type,
    'cofinite$': 'Nat_filter$' ).

tff(func_def_173,type,
    'filter$': ( 'Nat_bool_fun$' * 'Nat_set$' ) > 'Nat_set$' ).

tff(func_def_174,type,
    'uux$': 'B_character_data_ptr_option$' > 'B_character_data_ptr_c_sum_b_character_data_ptr_option_fun$' ).

tff(func_def_175,type,
    def_13: ( 'B_character_data_ptr_bool_fun$' * 'B_character_data_ptr_option$' ) > tlbool ).

tff(func_def_176,type,
    'node_ptr$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' ).

tff(func_def_177,type,
    'uwn$': 'Nat_nat_bool_fun_fun$' > 'Nat_nat_bool_fun_fun$' ).

tff(func_def_178,type,
    'fun_app$ac': ( 'Nat_bool_bool_fun_fun$' * 'Nat$' ) > 'Bool_bool_fun$' ).

tff(func_def_179,type,
    def_40: 'Bool_set$' > tlbool ).

tff(func_def_180,type,
    'fun_app$bn': ( 'Nat_nat_set_fun$' * 'Nat$' ) > 'Nat_set$' ).

tff(func_def_181,type,
    'sup$f': ( 'Nat_set$' * 'Nat_set$' ) > 'Nat_set$' ).

tff(func_def_182,type,
    'case_option$b': ( tlbool * 'Bool_bool_fun$' ) > 'Bool_option_bool_fun$' ).

tff(func_def_183,type,
    'uwy$': ( 'Nat_set$' * 'Nat_set$' ) > 'Nat_bool_fun$' ).

tff(func_def_184,type,
    'sup$a': ( 'Nat_set_set$' * 'Nat_set_set$' ) > 'Nat_set_set$' ).

tff(func_def_185,type,
    'sup$e': 'Nat_set_set$' > 'Nat_set$' ).

tff(func_def_186,type,
    'top$d': 'Bool_bool_sum_set$' ).

tff(func_def_187,type,
    'bot$a': 'Nat_set_set$' ).

tff(func_def_188,type,
    def_19: 'Bool_bool_sum$' > tlbool ).

tff(func_def_189,type,
    'some$f': $int > 'Int_option$' ).

tff(func_def_190,type,
    'fun_app$aq': ( 'Bool_bool_option_fun_bool_option_fun$' * 'Bool_bool_option_fun$' ) > 'Bool_option$' ).

tff(func_def_191,type,
    'fun_app$an': ( 'Bool_bool_option_fun$' * tlbool ) > 'Bool_option$' ).

tff(func_def_192,type,
    'fun_app$bf': ( 'Nat_option_b_character_data_ptr_option_bool_fun_fun$' * 'Nat_option$' ) > 'B_character_data_ptr_option_bool_fun$' ).

tff(func_def_193,type,
    'inf$': 'Bool_set_set$' > 'Bool_set$' ).

tff(func_def_194,type,
    'uvb$': ( 'B_character_data_ptr_option_b_character_data_ptr_option_fun$' * 'B_character_data_ptr_c_sum_b_character_data_ptr_option_fun$' ) > 'B_character_data_ptr_c_sum_b_character_data_ptr_option_fun$' ).

tff(func_def_195,type,
    'set_option$': 'Bool_set_option$' > 'Bool_set_set$' ).

tff(func_def_196,type,
    'fun_app$p': ( 'B_character_data_ptr_c_sum_b_character_data_ptr_option_fun$' * 'B_character_data_ptr_c_sum$' ) > 'B_character_data_ptr_option$' ).

tff(func_def_197,type,
    'bot$n': 'Nat_filter$' ).

tff(func_def_198,type,
    'bot$g': 'Bool_bool_fun$' ).

tff(func_def_199,type,
    'sup$': ( 'Bool_set_set$' * 'Bool_set_set$' ) > 'Bool_set_set$' ).

tff(func_def_200,type,
    'some$e': 'Nat_set$' > 'Nat_set_option$' ).

tff(func_def_201,type,
    'comp$p': ( 'Nat_bool_set_bool_set_fun_fun$' * 'Nat_nat_fun$' ) > 'Nat_bool_set_bool_set_fun_fun$' ).

tff(func_def_202,type,
    'the$a': 'Bool_option_bool_fun$' ).

tff(func_def_203,type,
    'uvu$': ( tlbool * 'Bool_set$' ) > 'Bool_bool_fun$' ).

tff(func_def_204,type,
    'uwa$': 'Bool_set$' > 'Bool_bool_fun$' ).

tff(func_def_205,type,
    'undefined$': 'B_character_data_ptr$' ).

tff(func_def_206,type,
    'uug$': ( 'Bool_b_character_data_ptr_fun$' * 'B_character_data_ptr_bool_fun$' ) > 'B_character_data_ptr_b_character_data_ptr_fun$' ).

tff(func_def_207,type,
    'inl$a': 'A_element_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_fun$' ).

tff(func_def_208,type,
    'uuo$': 'Nat_set$' > 'Nat_bool_fun$' ).

tff(func_def_209,type,
    'collect$d': 'B_character_data_ptr_option_bool_fun$' > 'B_character_data_ptr_option_set$' ).

tff(func_def_210,type,
    'cofinite$a': 'Bool_filter$' ).

tff(func_def_211,type,
    'fun_app$au': ( 'B_character_data_ptr_nat_option_fun$' * 'B_character_data_ptr$' ) > 'Nat_option$' ).

tff(func_def_212,type,
    'image$j': ( 'Nat_nat_set_fun$' * 'Nat_set$' ) > 'Nat_set_set$' ).

tff(func_def_213,type,
    'cast_n_o_d_e_p_t_r_2_e_l_e_m_e_n_t_p_t_r$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' > 'A_element_ptr_option$' ).

tff(func_def_214,type,
    'pow$a': 'Bool_set$' > 'Bool_set_set$' ).

tff(func_def_215,type,
    'uue$': 'B_character_data_ptr_bool_fun$' ).

tff(func_def_216,type,
    'pow$': 'Nat_set$' > 'Nat_set_set$' ).

tff(func_def_217,type,
    def_27: ( tlbool * 'Bool_bool_fun$' ) > tlbool ).

tff(func_def_218,type,
    'projl$': 'B_character_data_ptr_c_sum$' > 'B_character_data_ptr$' ).

tff(func_def_219,type,
    'uuy$': 'B_character_data_ptr_option$' > 'B_character_data_ptr_b_character_data_ptr_option_fun$' ).

tff(func_def_220,type,
    'uuj$': 'Bool_set_set$' > 'Bool_set_bool_fun$' ).

tff(func_def_221,type,
    'uur$': 'B_character_data_ptr_b_character_data_ptr_fun$' ).

tff(func_def_222,type,
    'bot$i': 'Nat_bool_fun$' ).

tff(func_def_223,type,
    def_15: 'Bool_option$' > tlbool ).

tff(func_def_224,type,
    'image$b': ( 'Nat_set_bool_fun$' * 'Nat_set_set$' ) > 'Bool_set$' ).

tff(func_def_225,type,
    'collect$b': 'Int_bool_fun$' > 'Int_set$' ).

tff(func_def_226,type,
    'inr$b': 'Bool_bool_bool_sum_fun$' ).

tff(func_def_227,type,
    'image$m': ( 'Nat_bool_fun$' * 'Nat_set$' ) > 'Bool_set$' ).

tff(func_def_228,type,
    'inr$': 'C_b_character_data_ptr_c_sum_fun$' ).

tff(func_def_229,type,
    def_7: 'Bool_option$' > tlbool ).

tff(func_def_230,type,
    'comp$q': ( 'Bool_set_bool_set_fun_bool_set_bool_set_fun_fun$' * 'Bool_set_bool_set_bool_set_fun_fun$' ) > 'Bool_set_bool_set_bool_set_fun_fun$' ).

tff(func_def_231,type,
    'sup$b': 'Bool_set_bool_fun$' ).

tff(func_def_232,type,
    'image$g': ( 'Bool_bool_set_fun$' * 'Bool_set$' ) > 'Bool_set_set$' ).

tff(func_def_233,type,
    'bot$e': 'Bool_set_set$' ).

tff(func_def_234,type,
    'fun_app$z': ( 'Nat_set_nat_set_fun$' * 'Nat_set$' ) > 'Nat_set$' ).

tff(func_def_235,type,
    'sup$i': tlbool > 'Bool_bool_fun$' ).

tff(func_def_236,type,
    'set_option$e': 'B_character_data_ptr_option$' > 'B_character_data_ptr_set$' ).

tff(func_def_237,type,
    'comp$l': ( 'B_character_data_ptr_option_b_character_data_ptr_option_fun$' * 'C_b_character_data_ptr_option_fun$' ) > 'C_b_character_data_ptr_option_fun$' ).

tff(func_def_238,type,
    'uul$': 'Int_set$' > 'Int_bool_fun$' ).

tff(func_def_239,type,
    'image$f': ( 'Bool_bool_option_fun$' * 'Bool_set$' ) > 'Bool_option_set$' ).

tff(func_def_240,type,
    'fun_app$bh': ( 'Nat_option_nat_option_bool_fun_fun$' * 'Nat_option$' ) > 'Nat_option_bool_fun$' ).

tff(func_def_241,type,
    'none$f': 'Int_option$' ).

tff(func_def_242,type,
    'uww$': ( 'Bool_nat_fun$' * 'Nat_nat_fun$' ) > 'Bool_nat_fun$' ).

tff(func_def_243,type,
    'minus$a': ( 'Nat_set$' * 'Nat_set$' ) > 'Nat_set$' ).

tff(func_def_244,type,
    'collect$c': 'Bool_bool_fun$' > 'Bool_set$' ).

tff(func_def_245,type,
    'fun_app$aa': ( 'Nat_nat_set_nat_set_fun_fun$' * 'Nat$' ) > 'Nat_set_nat_set_fun$' ).

tff(func_def_246,type,
    'the$': 'B_character_data_ptr_option_b_character_data_ptr_fun$' ).

tff(func_def_247,type,
    'comp$a': ( 'A_element_ptr_b_character_data_ptr_c_sum_sum_b_character_data_ptr_option_fun$' * 'B_character_data_ptr_c_sum_a_element_ptr_b_character_data_ptr_c_sum_sum_fun$' ) > 'B_character_data_ptr_c_sum_b_character_data_ptr_option_fun$' ).

tff(func_def_248,type,
    'uup$': 'A_element_ptr_bool_fun$' ).

tff(func_def_249,type,
    'uwe$': 'Bool_set$' > 'Bool_bool_set_fun$' ).

tff(func_def_250,type,
    'finite$a': 'Nat_set_bool_fun$' ).

tff(func_def_251,type,
    'uwi$': 'Nat_set_set$' > 'Nat_bool_fun$' ).

tff(func_def_252,type,
    'fun_app$bd': ( 'Bool_option_bool_option_bool_fun_fun$' * 'Bool_option$' ) > 'Bool_option_bool_fun$' ).

tff(func_def_253,type,
    def_45: ( 'Bool_set$' * tlbool ) > tlbool ).

tff(func_def_254,type,
    'fun_app$v': ( 'A_element_ptr_b_character_data_ptr_option_fun$' * 'A_element_ptr$' ) > 'B_character_data_ptr_option$' ).

tff(func_def_255,type,
    'fun_app$a': ( 'Bool_set_bool_set_fun$' * 'Bool_set$' ) > 'Bool_set$' ).

tff(func_def_256,type,
    'sup$g': ( 'Bool_bool_sum_set$' * 'Bool_bool_sum_set$' ) > 'Bool_bool_sum_set$' ).

tff(func_def_257,type,
    def_23: ( 'Bool_bool_fun$' * tlbool ) > tlbool ).

tff(func_def_258,type,
    'comp$n': ( 'Bool_set_bool_set_fun$' * 'Nat_bool_set_fun$' ) > 'Nat_bool_set_fun$' ).

tff(func_def_259,type,
    'uwl$': 'Nat_set_set$' > 'Nat_bool_fun$' ).

tff(func_def_260,type,
    'fun_app$u': ( 'B_character_data_ptr_b_character_data_ptr_c_sum_fun$' * 'B_character_data_ptr$' ) > 'B_character_data_ptr_c_sum$' ).

tff(func_def_261,type,
    'isl$b': 'Bool_bool_sum_bool_fun$' ).

tff(func_def_262,type,
    def_3: ( 'B_character_data_ptr_bool_fun$' * 'B_character_data_ptr$' ) > tlbool ).

tff(func_def_263,type,
    'uus$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_b_character_data_ptr_option_fun$' > 'A_element_ptr_b_character_data_ptr_option_fun$' ).

tff(func_def_264,type,
    'none$c': 'A_element_ptr_option$' ).

tff(func_def_265,type,
    'fun_app$ah': ( 'Bool_nat_fun$' * tlbool ) > 'Nat$' ).

tff(func_def_266,type,
    'insert$d': ( 'Nat_set$' * 'Nat_set_set$' ) > 'Nat_set_set$' ).

tff(func_def_267,type,
    'bot$c': 'Int_set$' ).

tff(func_def_268,type,
    'fun_app$s': ( 'B_character_data_ptr_c_sum_a_element_ptr_b_character_data_ptr_c_sum_sum_fun$' * 'B_character_data_ptr_c_sum$' ) > 'A_element_ptr_b_character_data_ptr_c_sum_sum$' ).

tff(func_def_269,type,
    'fun_app$bi': ( 'Bool_bool_bool_sum_fun$' * tlbool ) > 'Bool_bool_sum$' ).

tff(func_def_270,type,
    'uud$': 'Nat_bool_fun$' ).

tff(func_def_271,type,
    'uuf$': ( 'Bool_bool_fun$' * 'B_character_data_ptr_bool_fun$' ) > 'B_character_data_ptr_bool_fun$' ).

tff(func_def_272,type,
    'uu$': 'B_character_data_ptr_bool_fun$' ).

tff(func_def_273,type,
    'finite$d': 'Int_set_bool_fun$' ).

tff(func_def_274,type,
    'fun_app$ai': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_275,type,
    'uwu$': 'Nat_nat_bool_fun_fun$' ).

tff(func_def_276,type,
    'bind$d': ( 'B_character_data_ptr_option$' * 'B_character_data_ptr_nat_option_fun$' ) > 'Nat_option$' ).

tff(func_def_277,type,
    'case_sum$b': ( 'Bool_bool_fun$' * 'Bool_bool_fun$' ) > 'Bool_bool_sum_bool_fun$' ).

tff(func_def_278,type,
    'sup_fin$a': 'Bool_set_bool_fun$' ).

tff(func_def_279,type,
    def_18: 'Bool_bool_sum$' > tlbool ).

tff(func_def_280,type,
    'fold$': ( 'Bool_set_bool_set_bool_set_fun_fun$' * 'Bool_set$' * 'Bool_set_set$' ) > 'Bool_set$' ).

tff(func_def_281,type,
    'bind$f': ( 'Bool_option$' * 'Bool_nat_option_fun$' ) > 'Nat_option$' ).

tff(func_def_282,type,
    'case_sum$a': ( 'B_character_data_ptr_b_character_data_ptr_option_fun$' * 'C_b_character_data_ptr_option_fun$' ) > 'B_character_data_ptr_c_sum_b_character_data_ptr_option_fun$' ).

tff(func_def_283,type,
    'bind$i': ( 'Bool_set$' * 'Bool_bool_set_fun$' ) > 'Bool_set$' ).

tff(func_def_284,type,
    'bot$o': 'Bool_filter$' ).

tff(func_def_285,type,
    'bot$f': 'B_character_data_ptr_option_set$' ).

tff(func_def_286,type,
    'bind$g': ( 'Nat_option$' * 'Nat_b_character_data_ptr_option_fun$' ) > 'B_character_data_ptr_option$' ).

tff(func_def_287,type,
    'is_empty$a': 'Nat_set_bool_fun$' ).

tff(func_def_288,type,
    'uwv$': ( 'Nat_set$' * 'Nat_nat_fun$' ) > 'Nat_nat_bool_fun_fun$' ).

tff(func_def_289,type,
    def_12: ( tlbool * 'B_character_data_ptr_bool_fun$' * 'B_character_data_ptr_option$' ) > tlbool ).

tff(func_def_290,type,
    'minus$': 'Bool_set_bool_set_bool_set_fun_fun$' ).

tff(func_def_291,type,
    'uvg$': 'C_b_character_data_ptr_option_fun$' ).

tff(func_def_292,type,
    'less$': 'Bool_set$' > 'Bool_set_bool_fun$' ).

tff(func_def_293,type,
    'the$c': 'A_element_ptr_option$' > 'A_element_ptr$' ).

tff(func_def_294,type,
    'comp$': ( 'A_element_ptr_b_character_data_ptr_c_sum_sum_b_character_data_ptr_option_fun$' * 'A_element_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_fun$' ) > 'A_element_ptr_b_character_data_ptr_option_fun$' ).

tff(func_def_295,type,
    tlfalse: tlbool ).

tff(func_def_296,type,
    'uxc$': ( 'Nat_bool_fun$' * 'Nat_set$' ) > 'Nat_bool_fun$' ).

tff(func_def_297,type,
    'set_option$c': 'Nat_option$' > 'Nat_set$' ).

tff(func_def_298,type,
    'undefined$a': 'Nat$' ).

tff(func_def_299,type,
    'nat$': $int > 'Nat$' ).

tff(func_def_300,type,
    'filter$a': 'Bool_bool_fun$' > 'Bool_set_bool_set_fun$' ).

tff(func_def_301,type,
    'uvl$': tlbool > 'Bool_bool_fun$' ).

tff(func_def_302,type,
    'uvi$': 'Nat_set_bool_fun$' ).

tff(func_def_303,type,
    'fun_app$aj': ( 'Nat_b_character_data_ptr_fun$' * 'Nat$' ) > 'B_character_data_ptr$' ).

tff(func_def_304,type,
    'none$e': 'Nat_set_option$' ).

tff(func_def_305,type,
    'these$a': 'B_character_data_ptr_option_set$' > 'B_character_data_ptr_set$' ).

tff(func_def_306,type,
    'uuc$': 'Bool_bool_fun$' ).

tff(func_def_307,type,
    'collect$a': 'Nat_set_bool_fun$' > 'Nat_set_set$' ).

tff(func_def_308,type,
    'image$h': ( 'Nat_nat_option_fun$' * 'Nat_set$' ) > 'Nat_option_set$' ).

tff(func_def_309,type,
    'un_Ext$': 'B_character_data_ptr_element_ptr$' > 'B_character_data_ptr$' ).

tff(func_def_310,type,
    def_20: ( 'Bool_bool_fun$' * tlbool ) > tlbool ).

tff(func_def_311,type,
    def_46: ( 'Bool_set$' * tlbool ) > tlbool ).

tff(func_def_312,type,
    'uun$': 'B_character_data_ptr_option_set$' > 'B_character_data_ptr_option_bool_fun$' ).

tff(func_def_313,type,
    def_32: ( tlbool * tlbool ) > tlbool ).

tff(func_def_314,type,
    'uvd$': ( 'B_character_data_ptr_option_b_character_data_ptr_option_fun$' * 'C_b_character_data_ptr_option_fun$' ) > 'C_b_character_data_ptr_option_fun$' ).

tff(func_def_315,type,
    def_6: ( 'B_character_data_ptr_bool_fun$' * 'B_character_data_ptr_option$' ) > tlbool ).

tff(func_def_316,type,
    'bot$p': 'Bool_bool_sum_set$' ).

tff(func_def_317,type,
    def_30: 'Bool_bool_sum$' > tlbool ).

tff(func_def_318,type,
    'uvc$': ( 'B_character_data_ptr_option_b_character_data_ptr_option_fun$' * 'B_character_data_ptr_b_character_data_ptr_option_fun$' ) > 'B_character_data_ptr_b_character_data_ptr_option_fun$' ).

tff(func_def_319,type,
    'uvq$': 'Nat_nat_bool_fun_fun$' ).

tff(func_def_320,type,
    def_34: ( 'Bool_set$' * 'Bool_int_fun$' ) > tlbool ).

tff(func_def_321,type,
    def_25: ( tlbool * 'Bool_bool_fun$' ) > tlbool ).

tff(func_def_322,type,
    'insert$': tlbool > 'Bool_set_bool_set_fun$' ).

tff(func_def_323,type,
    'comp$j': ( 'B_character_data_ptr_option_b_character_data_ptr_option_fun$' * 'B_character_data_ptr_c_sum_b_character_data_ptr_option_fun$' ) > 'B_character_data_ptr_c_sum_b_character_data_ptr_option_fun$' ).

tff(func_def_324,type,
    'uvy$': ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).

tff(func_def_325,type,
    'fun_app$bo': ( 'Bool_int_fun$' * tlbool ) > $int ).

tff(func_def_326,type,
    'less$b': tlbool > 'Bool_bool_fun$' ).

tff(func_def_327,type,
    'fun_app$t': ( 'B_character_data_ptr_b_character_data_ptr_option_fun$' * 'B_character_data_ptr$' ) > 'B_character_data_ptr_option$' ).

tff(func_def_328,type,
    'fun_app$at': ( 'B_character_data_ptr_bool_option_fun$' * 'B_character_data_ptr$' ) > 'Bool_option$' ).

tff(func_def_329,type,
    'uwd$': ( 'Nat_nat_fun$' * 'Nat_set$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).

tff(func_def_330,type,
    'fun_app$aw': ( 'Bool_nat_option_fun$' * tlbool ) > 'Nat_option$' ).

tff(func_def_331,type,
    'sup$j': 'Nat$' > 'Nat_nat_fun$' ).

tff(func_def_332,type,
    'is_singleton$': 'Bool_set_bool_fun$' ).

tff(func_def_333,type,
    'case_node_ptr$': ( 'A_element_ptr_b_character_data_ptr_c_sum_sum_b_character_data_ptr_option_fun$' * 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' ) > 'B_character_data_ptr_option$' ).

tff(func_def_334,type,
    'fun_app$al': ( 'B_character_data_ptr_option_b_character_data_ptr_fun$' * 'B_character_data_ptr_option$' ) > 'B_character_data_ptr$' ).

tff(func_def_335,type,
    'fun_app$bg': ( 'Nat_option_bool_option_bool_fun_fun$' * 'Nat_option$' ) > 'Bool_option_bool_fun$' ).

tff(func_def_336,type,
    'fun_app$ab': ( 'Bool_set_bool_set_bool_set_fun_fun$' * 'Bool_set$' ) > 'Bool_set_bool_set_fun$' ).

tff(func_def_337,type,
    'set_option$b': 'Int_option$' > 'Int_set$' ).

tff(func_def_338,type,
    'fold$d': 'Bool_bool_set_bool_set_fun_fun$' > 'Bool_set_bool_set_bool_set_fun_fun$' ).

tff(func_def_339,type,
    'bdd_above$': 'Bool_set_bool_fun$' ).

tff(func_def_340,type,
    'fun_app$ba': ( 'B_character_data_ptr_option_bool_option_bool_fun_fun$' * 'B_character_data_ptr_option$' ) > 'Bool_option_bool_fun$' ).

tff(func_def_341,type,
    'uuv$': 'B_character_data_ptr_c_sum_b_character_data_ptr_option_fun$' > 'C_b_character_data_ptr_option_fun$' ).

tff(func_def_342,type,
    'fun_app$f': ( 'Bool_set_set_bool_set_set_fun$' * 'Bool_set_set$' ) > 'Bool_set_set$' ).

tff(func_def_343,type,
    'inl$b': 'Bool_bool_bool_sum_fun$' ).

tff(func_def_344,type,
    'isl$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_bool_fun$' ).

tff(func_def_345,type,
    'none$a': 'Bool_option$' ).

tff(func_def_346,type,
    def_4: 'Bool_option$' > tlbool ).

tff(func_def_347,type,
    'finite$c': 'Bool_set_bool_fun$' ).

tff(func_def_348,type,
    'cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$': 'B_character_data_ptr$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' ).

tff(func_def_349,type,
    'uwq$': 'Nat_bool_fun$' > 'Nat_bool_fun$' ).

tff(func_def_350,type,
    'is_none$': 'B_character_data_ptr_option_bool_fun$' ).

tff(func_def_351,type,
    'uwm$': ( 'Nat_set$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat_bool_fun$' ).

tff(func_def_352,type,
    'uuh$': ( 'B_character_data_ptr_bool_fun$' * 'B_character_data_ptr_b_character_data_ptr_fun$' ) > 'B_character_data_ptr_bool_fun$' ).

tff(func_def_353,type,
    def_17: 'Bool_option$' > tlbool ).

tff(func_def_354,type,
    'uum$': 'Bool_set$' > 'Bool_bool_fun$' ).

tff(func_def_355,type,
    'fun_app$q': ( 'C_b_character_data_ptr_c_sum_fun$' * 'C$' ) > 'B_character_data_ptr_c_sum$' ).

tff(func_def_356,type,
    'uuq$': 'Nat_nat_fun$' ).

tff(func_def_357,type,
    def_8: ( tlbool * 'B_character_data_ptr_bool_fun$' * 'B_character_data_ptr_option$' ) > tlbool ).

tff(func_def_358,type,
    'uvo$': 'Nat_nat_bool_fun_fun$' ).

tff(func_def_359,type,
    'uwk$': ( 'Bool_set$' * 'Bool_bool_set_fun$' ) > 'Bool_bool_set_fun$' ).

tff(func_def_360,type,
    'member$d': 'Nat$' > 'Nat_set_bool_fun$' ).

tff(func_def_361,type,
    'these$': 'Bool_option_set$' > 'Bool_set$' ).

tff(func_def_362,type,
    'some$d': 'Bool_set$' > 'Bool_set_option$' ).

tff(func_def_363,type,
    'uvz$': ( tlbool * 'Bool_bool_fun$' ) > 'Bool_bool_fun$' ).

tff(func_def_364,type,
    'top$b': 'Bool_option_set$' ).

tff(func_def_365,type,
    'inr$a': 'B_character_data_ptr_c_sum_a_element_ptr_b_character_data_ptr_c_sum_sum_fun$' ).

tff(func_def_366,type,
    'fun_app$be': ( 'Bool_option_nat_option_bool_fun_fun$' * 'Bool_option$' ) > 'Nat_option_bool_fun$' ).

tff(func_def_367,type,
    def_14: 'Bool_option$' > tlbool ).

tff(func_def_368,type,
    'fun_app$w': ( 'A_element_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_fun$' * 'A_element_ptr$' ) > 'A_element_ptr_b_character_data_ptr_c_sum_sum$' ).

tff(func_def_369,type,
    'fun_app$g': ( 'Bool_bool_set_set_bool_set_set_fun_fun$' * tlbool ) > 'Bool_set_set_bool_set_set_fun$' ).

tff(func_def_370,type,
    'comp$r': ( 'Bool_set_bool_set_fun_bool_set_bool_set_fun_fun$' * 'Nat_bool_set_bool_set_fun_fun$' ) > 'Nat_bool_set_bool_set_fun_fun$' ).

tff(func_def_371,type,
    'comp$i': ( 'B_character_data_ptr_option_b_character_data_ptr_option_fun$' * 'A_element_ptr_b_character_data_ptr_option_fun$' ) > 'A_element_ptr_b_character_data_ptr_option_fun$' ).

tff(func_def_372,type,
    'comp$d': ( 'Bool_bool_fun$' * 'Bool_bool_sum_bool_fun$' ) > 'Bool_bool_sum_bool_fun$' ).

tff(func_def_373,type,
    def_16: 'Bool_option$' > tlbool ).

tff(func_def_374,type,
    'image$a': ( 'Nat_set_nat_set_fun$' * 'Nat_set_set$' ) > 'Nat_set_set$' ).

tff(func_def_375,type,
    'case_sum$d': ( 'Nat_bool_set_bool_set_fun_fun$' * 'Nat_bool_set_bool_set_fun_fun$' ) > 'Nat_nat_sum_bool_set_bool_set_fun_fun$' ).

tff(func_def_376,type,
    'uvx$': ( tlbool * 'Bool_bool_fun$' ) > 'Bool_bool_fun$' ).

tff(func_def_377,type,
    'fun_app$': ( 'Bool_bool_set_fun$' * tlbool ) > 'Bool_set$' ).

tff(func_def_378,type,
    'top$a': 'Nat_set$' ).

tff(func_def_379,type,
    'set_option$a': 'Nat_set_option$' > 'Nat_set_set$' ).

tff(func_def_380,type,
    'uuk$': 'Nat_set_set$' > 'Nat_set_bool_fun$' ).

tff(func_def_381,type,
    def_24: ( 'Bool_bool_fun$' * tlbool ) > tlbool ).

tff(func_def_382,type,
    'uut$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_b_character_data_ptr_option_fun$' > 'B_character_data_ptr_c_sum_b_character_data_ptr_option_fun$' ).

tff(func_def_383,type,
    'uvj$': 'Int_bool_fun$' ).

tff(func_def_384,type,
    'fun_app$o': ( 'C_b_character_data_ptr_option_fun$' * 'C$' ) > 'B_character_data_ptr_option$' ).

tff(func_def_385,type,
    'image$': ( 'Bool_set_bool_set_fun$' * 'Bool_set_set$' ) > 'Bool_set_set$' ).

tff(func_def_386,type,
    'arg_min_on$a': 'Bool_int_fun$' > 'Bool_set_bool_fun$' ).

tff(func_def_387,type,
    'bot$b': 'Nat_set$' ).

tff(func_def_392,type,
    sK0: ( 'Nat_set_set$' * 'Nat$' ) > 'Nat_set$' ).

tff(func_def_393,type,
    sK1: ( 'Nat_set$' * 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_394,type,
    sK2: 'B_character_data_ptr_option$' > 'B_character_data_ptr$' ).

tff(func_def_395,type,
    sK3: 'Bool_option$' > tlbool ).

tff(func_def_396,type,
    sK4: 'Nat_option$' > 'Nat$' ).

tff(func_def_397,type,
    sK5: 'B_character_data_ptr_option$' > 'B_character_data_ptr$' ).

tff(func_def_398,type,
    sK6: 'Bool_option$' > tlbool ).

tff(func_def_399,type,
    sK7: 'Nat_option$' > 'Nat$' ).

tff(func_def_400,type,
    sK8: 'B_character_data_ptr_option$' > 'B_character_data_ptr$' ).

tff(func_def_401,type,
    sK9: 'Bool_option$' > tlbool ).

tff(func_def_402,type,
    sK10: 'Nat_option$' > 'Nat$' ).

tff(func_def_403,type,
    sK11: ( 'B_character_data_ptr_option_bool_fun$' * 'B_character_data_ptr_option$' * 'B_character_data_ptr_b_character_data_ptr_option_fun$' ) > 'B_character_data_ptr$' ).

tff(func_def_404,type,
    sK12: ( 'Bool_option_bool_fun$' * 'B_character_data_ptr_option$' * 'B_character_data_ptr_bool_option_fun$' ) > 'B_character_data_ptr$' ).

tff(func_def_405,type,
    sK13: ( 'Nat_option_bool_fun$' * 'B_character_data_ptr_option$' * 'B_character_data_ptr_nat_option_fun$' ) > 'B_character_data_ptr$' ).

tff(func_def_406,type,
    sK14: ( 'B_character_data_ptr_option_bool_fun$' * 'Bool_option$' * 'Bool_b_character_data_ptr_option_fun$' ) > tlbool ).

tff(func_def_407,type,
    sK15: ( 'Bool_option_bool_fun$' * 'Bool_option$' * 'Bool_bool_option_fun$' ) > tlbool ).

tff(func_def_408,type,
    sK16: ( 'Nat_option_bool_fun$' * 'Bool_option$' * 'Bool_nat_option_fun$' ) > tlbool ).

tff(func_def_409,type,
    sK17: ( 'B_character_data_ptr_option_bool_fun$' * 'Nat_option$' * 'Nat_b_character_data_ptr_option_fun$' ) > 'Nat$' ).

tff(func_def_410,type,
    sK18: ( 'Bool_option_bool_fun$' * 'Nat_option$' * 'Nat_bool_option_fun$' ) > 'Nat$' ).

tff(func_def_411,type,
    sK19: ( 'Nat_option_bool_fun$' * 'Nat_option$' * 'Nat_nat_option_fun$' ) > 'Nat$' ).

tff(func_def_412,type,
    sK20: ( 'Bool_bool_fun$' * 'Bool_option$' ) > tlbool ).

tff(func_def_413,type,
    sK21: ( 'Nat_bool_fun$' * 'Nat_option$' ) > 'Nat$' ).

tff(func_def_414,type,
    sK22: ( 'B_character_data_ptr_bool_fun$' * 'B_character_data_ptr_option$' ) > 'B_character_data_ptr$' ).

tff(func_def_415,type,
    sK23: ( 'B_character_data_ptr_option_bool_fun$' * 'B_character_data_ptr_option$' * 'B_character_data_ptr_b_character_data_ptr_option_fun$' ) > 'B_character_data_ptr$' ).

tff(func_def_416,type,
    sK24: ( 'Bool_option_bool_fun$' * 'B_character_data_ptr_option$' * 'B_character_data_ptr_bool_option_fun$' ) > 'B_character_data_ptr$' ).

tff(func_def_417,type,
    sK25: ( 'Nat_option_bool_fun$' * 'B_character_data_ptr_option$' * 'B_character_data_ptr_nat_option_fun$' ) > 'B_character_data_ptr$' ).

tff(func_def_418,type,
    sK26: ( 'B_character_data_ptr_option_bool_fun$' * 'Bool_option$' * 'Bool_b_character_data_ptr_option_fun$' ) > tlbool ).

tff(func_def_419,type,
    sK27: ( 'Bool_option_bool_fun$' * 'Bool_option$' * 'Bool_bool_option_fun$' ) > tlbool ).

tff(func_def_420,type,
    sK28: ( 'Nat_option_bool_fun$' * 'Bool_option$' * 'Bool_nat_option_fun$' ) > tlbool ).

tff(func_def_421,type,
    sK29: ( 'B_character_data_ptr_option_bool_fun$' * 'Nat_option$' * 'Nat_b_character_data_ptr_option_fun$' ) > 'Nat$' ).

tff(func_def_422,type,
    sK30: ( 'Bool_option_bool_fun$' * 'Nat_option$' * 'Nat_bool_option_fun$' ) > 'Nat$' ).

tff(func_def_423,type,
    sK31: ( 'Nat_option_bool_fun$' * 'Nat_option$' * 'Nat_nat_option_fun$' ) > 'Nat$' ).

tff(func_def_424,type,
    sK32: 'B_character_data_ptr_option_bool_fun$' > 'B_character_data_ptr_option$' ).

tff(func_def_425,type,
    sK33: 'B_character_data_ptr_option_bool_fun$' > 'B_character_data_ptr$' ).

tff(func_def_426,type,
    sK34: 'Bool_option_bool_fun$' > 'Bool_option$' ).

tff(func_def_427,type,
    sK35: 'Bool_option_bool_fun$' > tlbool ).

tff(func_def_428,type,
    sK36: 'Nat_option_bool_fun$' > 'Nat_option$' ).

tff(func_def_429,type,
    sK37: 'Nat_option_bool_fun$' > 'Nat$' ).

tff(func_def_430,type,
    sK38: ( 'Bool_bool_fun$' * 'Bool_bool_fun$' ) > tlbool ).

tff(func_def_431,type,
    sK39: ( 'B_character_data_ptr_option_bool_fun$' * 'B_character_data_ptr_option_bool_fun$' ) > 'B_character_data_ptr_option$' ).

tff(func_def_432,type,
    sK40: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_433,type,
    sK41: 'B_character_data_ptr_option_bool_fun$' > 'B_character_data_ptr_option$' ).

tff(func_def_434,type,
    sK42: 'B_character_data_ptr_option_bool_fun$' > 'B_character_data_ptr$' ).

tff(func_def_435,type,
    sK43: 'Bool_option_bool_fun$' > 'Bool_option$' ).

tff(func_def_436,type,
    sK44: 'Bool_option_bool_fun$' > tlbool ).

tff(func_def_437,type,
    sK45: 'Nat_option_bool_fun$' > 'Nat_option$' ).

tff(func_def_438,type,
    sK46: 'Nat_option_bool_fun$' > 'Nat$' ).

tff(func_def_439,type,
    sK47: ( 'B_character_data_ptr_option$' * 'B_character_data_ptr_b_character_data_ptr_option_fun$' * 'B_character_data_ptr$' ) > 'B_character_data_ptr$' ).

tff(func_def_440,type,
    sK48: ( 'Bool_option$' * 'Bool_b_character_data_ptr_option_fun$' * 'B_character_data_ptr$' ) > tlbool ).

tff(func_def_441,type,
    sK49: ( 'Nat_option$' * 'Nat_b_character_data_ptr_option_fun$' * 'B_character_data_ptr$' ) > 'Nat$' ).

tff(func_def_442,type,
    sK50: ( 'B_character_data_ptr_option$' * 'B_character_data_ptr_bool_option_fun$' * tlbool ) > 'B_character_data_ptr$' ).

tff(func_def_443,type,
    sK51: ( 'Bool_option$' * 'Bool_bool_option_fun$' * tlbool ) > tlbool ).

tff(func_def_444,type,
    sK52: ( 'Nat_option$' * 'Nat_bool_option_fun$' * tlbool ) > 'Nat$' ).

tff(func_def_445,type,
    sK53: ( 'B_character_data_ptr_option$' * 'B_character_data_ptr_nat_option_fun$' * 'Nat$' ) > 'B_character_data_ptr$' ).

tff(func_def_446,type,
    sK54: ( 'Bool_option$' * 'Bool_nat_option_fun$' * 'Nat$' ) > tlbool ).

tff(func_def_447,type,
    sK55: ( 'Nat_option$' * 'Nat_nat_option_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_448,type,
    sK56: ( 'B_character_data_ptr_option$' * 'B_character_data_ptr_option_b_character_data_ptr_option_bool_fun_fun$' * 'B_character_data_ptr_option$' ) > 'B_character_data_ptr$' ).

tff(func_def_449,type,
    sK57: ( 'B_character_data_ptr_option$' * 'B_character_data_ptr_option_b_character_data_ptr_option_bool_fun_fun$' * 'B_character_data_ptr_option$' ) > 'B_character_data_ptr$' ).

tff(func_def_450,type,
    sK58: ( 'B_character_data_ptr_option$' * 'B_character_data_ptr_option_bool_option_bool_fun_fun$' * 'Bool_option$' ) > 'B_character_data_ptr$' ).

tff(func_def_451,type,
    sK59: ( 'B_character_data_ptr_option$' * 'B_character_data_ptr_option_bool_option_bool_fun_fun$' * 'Bool_option$' ) > tlbool ).

tff(func_def_452,type,
    sK60: ( 'B_character_data_ptr_option$' * 'B_character_data_ptr_option_nat_option_bool_fun_fun$' * 'Nat_option$' ) > 'B_character_data_ptr$' ).

tff(func_def_453,type,
    sK61: ( 'B_character_data_ptr_option$' * 'B_character_data_ptr_option_nat_option_bool_fun_fun$' * 'Nat_option$' ) > 'Nat$' ).

tff(func_def_454,type,
    sK62: ( 'Bool_option$' * 'Bool_option_b_character_data_ptr_option_bool_fun_fun$' * 'B_character_data_ptr_option$' ) > tlbool ).

tff(func_def_455,type,
    sK63: ( 'Bool_option$' * 'Bool_option_b_character_data_ptr_option_bool_fun_fun$' * 'B_character_data_ptr_option$' ) > 'B_character_data_ptr$' ).

tff(func_def_456,type,
    sK64: ( 'Bool_option$' * 'Bool_option_bool_option_bool_fun_fun$' * 'Bool_option$' ) > tlbool ).

tff(func_def_457,type,
    sK65: ( 'Bool_option$' * 'Bool_option_bool_option_bool_fun_fun$' * 'Bool_option$' ) > tlbool ).

tff(func_def_458,type,
    sK66: ( 'Bool_option$' * 'Bool_option_nat_option_bool_fun_fun$' * 'Nat_option$' ) > tlbool ).

tff(func_def_459,type,
    sK67: ( 'Bool_option$' * 'Bool_option_nat_option_bool_fun_fun$' * 'Nat_option$' ) > 'Nat$' ).

tff(func_def_460,type,
    sK68: ( 'Nat_option$' * 'Nat_option_b_character_data_ptr_option_bool_fun_fun$' * 'B_character_data_ptr_option$' ) > 'Nat$' ).

tff(func_def_461,type,
    sK69: ( 'Nat_option$' * 'Nat_option_b_character_data_ptr_option_bool_fun_fun$' * 'B_character_data_ptr_option$' ) > 'B_character_data_ptr$' ).

tff(func_def_462,type,
    sK70: ( 'Nat_option$' * 'Nat_option_bool_option_bool_fun_fun$' * 'Bool_option$' ) > 'Nat$' ).

tff(func_def_463,type,
    sK71: ( 'Nat_option$' * 'Nat_option_bool_option_bool_fun_fun$' * 'Bool_option$' ) > tlbool ).

tff(func_def_464,type,
    sK72: ( 'Nat_option$' * 'Nat_option_nat_option_bool_fun_fun$' * 'Nat_option$' ) > 'Nat$' ).

tff(func_def_465,type,
    sK73: ( 'Nat_option$' * 'Nat_option_nat_option_bool_fun_fun$' * 'Nat_option$' ) > 'Nat$' ).

tff(func_def_466,type,
    sK74: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' > 'A_element_ptr$' ).

tff(func_def_467,type,
    sK75: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum$' ).

tff(func_def_468,type,
    sK76: 'Bool_node_ptr$' > tlbool ).

tff(func_def_469,type,
    sK77: 'B_character_data_ptr_c_sum_bool_fun$' > 'B_character_data_ptr_c_sum$' ).

tff(func_def_470,type,
    sK78: 'B_character_data_ptr_c_sum_bool_fun$' > 'C$' ).

tff(func_def_471,type,
    sK79: 'B_character_data_ptr_c_sum_bool_fun$' > 'B_character_data_ptr$' ).

tff(func_def_472,type,
    sK80: 'A_element_ptr_b_character_data_ptr_c_sum_sum_bool_fun$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum$' ).

tff(func_def_473,type,
    sK81: 'A_element_ptr_b_character_data_ptr_c_sum_sum_bool_fun$' > 'B_character_data_ptr_c_sum$' ).

tff(func_def_474,type,
    sK82: 'A_element_ptr_b_character_data_ptr_c_sum_sum_bool_fun$' > 'A_element_ptr$' ).

tff(func_def_475,type,
    sK83: 'Bool_bool_sum_bool_fun$' > 'Bool_bool_sum$' ).

tff(func_def_476,type,
    sK84: 'Bool_bool_sum_bool_fun$' > tlbool ).

tff(func_def_477,type,
    sK85: 'Bool_bool_sum_bool_fun$' > tlbool ).

tff(func_def_478,type,
    sK86: 'B_character_data_ptr_c_sum_bool_fun$' > 'B_character_data_ptr_c_sum$' ).

tff(func_def_479,type,
    sK87: 'B_character_data_ptr_c_sum_bool_fun$' > 'C$' ).

tff(func_def_480,type,
    sK88: 'B_character_data_ptr_c_sum_bool_fun$' > 'B_character_data_ptr$' ).

tff(func_def_481,type,
    sK89: 'A_element_ptr_b_character_data_ptr_c_sum_sum_bool_fun$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum$' ).

tff(func_def_482,type,
    sK90: 'A_element_ptr_b_character_data_ptr_c_sum_sum_bool_fun$' > 'B_character_data_ptr_c_sum$' ).

tff(func_def_483,type,
    sK91: 'A_element_ptr_b_character_data_ptr_c_sum_sum_bool_fun$' > 'A_element_ptr$' ).

tff(func_def_484,type,
    sK92: 'Bool_bool_sum_bool_fun$' > 'Bool_bool_sum$' ).

tff(func_def_485,type,
    sK93: 'Bool_bool_sum_bool_fun$' > tlbool ).

tff(func_def_486,type,
    sK94: 'Bool_bool_sum_bool_fun$' > tlbool ).

tff(func_def_487,type,
    sK95: 'B_character_data_ptr_c_sum$' > 'C$' ).

tff(func_def_488,type,
    sK96: 'B_character_data_ptr_c_sum$' > 'B_character_data_ptr$' ).

tff(func_def_489,type,
    sK97: 'A_element_ptr_b_character_data_ptr_c_sum_sum$' > 'B_character_data_ptr_c_sum$' ).

tff(func_def_490,type,
    sK98: 'A_element_ptr_b_character_data_ptr_c_sum_sum$' > 'A_element_ptr$' ).

tff(func_def_491,type,
    sK99: 'Bool_bool_sum$' > tlbool ).

tff(func_def_492,type,
    sK100: 'Bool_bool_sum$' > tlbool ).

tff(func_def_493,type,
    sK101: 'B_character_data_ptr_c_sum$' > 'C$' ).

tff(func_def_494,type,
    sK102: 'B_character_data_ptr_c_sum$' > 'B_character_data_ptr$' ).

tff(func_def_495,type,
    sK103: 'A_element_ptr_b_character_data_ptr_c_sum_sum$' > 'B_character_data_ptr_c_sum$' ).

tff(func_def_496,type,
    sK104: 'A_element_ptr_b_character_data_ptr_c_sum_sum$' > 'A_element_ptr$' ).

tff(func_def_497,type,
    sK105: 'Bool_bool_sum$' > tlbool ).

tff(func_def_498,type,
    sK106: 'Bool_bool_sum$' > tlbool ).

tff(func_def_499,type,
    sK107: 'B_character_data_ptr_c_sum$' > 'C$' ).

tff(func_def_500,type,
    sK108: 'B_character_data_ptr_c_sum$' > 'B_character_data_ptr$' ).

tff(func_def_501,type,
    sK109: 'A_element_ptr_b_character_data_ptr_c_sum_sum$' > 'B_character_data_ptr_c_sum$' ).

tff(func_def_502,type,
    sK110: 'A_element_ptr_b_character_data_ptr_c_sum_sum$' > 'A_element_ptr$' ).

tff(func_def_503,type,
    sK111: 'Bool_bool_sum$' > tlbool ).

tff(func_def_504,type,
    sK112: 'Bool_bool_sum$' > tlbool ).

tff(func_def_505,type,
    sK113: ( 'Bool_set_option$' * 'Bool_set_bool_fun$' ) > 'Bool_set$' ).

tff(func_def_506,type,
    sK114: ( 'Nat_set_option$' * 'Nat_set_bool_fun$' ) > 'Nat_set$' ).

tff(func_def_507,type,
    sK115: ( 'Int_option$' * 'Int_bool_fun$' ) > $int ).

tff(func_def_508,type,
    sK116: ( 'Nat_option$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_509,type,
    sK117: ( 'B_character_data_ptr_option$' * 'B_character_data_ptr_bool_fun$' ) > 'B_character_data_ptr$' ).

tff(func_def_510,type,
    sK118: ( 'Bool_option$' * 'Bool_bool_fun$' ) > tlbool ).

tff(func_def_511,type,
    sK119: 'Bool_set_set$' > 'Bool_set$' ).

tff(func_def_512,type,
    sK120: 'Nat_set_set$' > 'Nat_set$' ).

tff(func_def_513,type,
    sK121: 'Nat_set$' > 'Nat$' ).

tff(func_def_514,type,
    sK122: 'Int_set$' > $int ).

tff(func_def_515,type,
    sK123: 'Bool_set$' > tlbool ).

tff(func_def_516,type,
    sK124: 'B_character_data_ptr_option_bool_fun$' > 'B_character_data_ptr_option$' ).

tff(func_def_517,type,
    sK125: 'Nat_set_bool_fun$' > 'Nat_set$' ).

tff(func_def_518,type,
    sK126: 'Int_bool_fun$' > $int ).

tff(func_def_519,type,
    sK127: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_520,type,
    sK128: 'Bool_bool_fun$' > tlbool ).

tff(func_def_521,type,
    sK129: 'B_character_data_ptr_option_bool_fun$' > 'B_character_data_ptr_option$' ).

tff(func_def_522,type,
    sK130: 'Nat_set_bool_fun$' > 'Nat_set$' ).

tff(func_def_523,type,
    sK131: 'Int_bool_fun$' > $int ).

tff(func_def_524,type,
    sK132: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_525,type,
    sK133: 'Bool_bool_fun$' > tlbool ).

tff(func_def_526,type,
    sK134: 'Bool_set_set$' > 'Bool_set$' ).

tff(func_def_527,type,
    sK135: 'Nat_set_set$' > 'Nat_set$' ).

tff(func_def_528,type,
    sK136: 'Nat_set$' > 'Nat$' ).

tff(func_def_529,type,
    sK137: 'Int_set$' > $int ).

tff(func_def_530,type,
    sK138: 'Bool_set$' > tlbool ).

tff(func_def_531,type,
    sK139: 'Bool_set_set$' > 'Bool_set$' ).

tff(func_def_532,type,
    sK140: 'Nat_set_set$' > 'Nat_set$' ).

tff(func_def_533,type,
    sK141: 'Nat_set$' > 'Nat$' ).

tff(func_def_534,type,
    sK142: 'Int_set$' > $int ).

tff(func_def_535,type,
    sK143: 'Bool_set$' > tlbool ).

tff(func_def_536,type,
    sK144: 'B_character_data_ptr_c_sum$' > 'B_character_data_ptr$' ).

tff(func_def_537,type,
    sK145: 'Bool_bool_sum$' > tlbool ).

tff(func_def_538,type,
    sK146: 'Bool_set$' > tlbool ).

tff(func_def_539,type,
    sK147: 'Bool_set$' > tlbool ).

tff(func_def_540,type,
    sK148: 'Bool_set$' > tlbool ).

tff(func_def_541,type,
    sK149: 'Bool_set$' > tlbool ).

tff(func_def_542,type,
    sK150: 'Bool_set_set$' > 'Bool_set$' ).

tff(func_def_543,type,
    sK151: 'Bool_set_set$' > 'Bool_set$' ).

tff(func_def_544,type,
    sK152: 'Bool_set_set$' > 'Bool_set$' ).

tff(func_def_545,type,
    sK153: 'Bool_set_set$' > 'Bool_set$' ).

tff(func_def_546,type,
    sK154: 'Bool_bool_fun$' > tlbool ).

tff(func_def_547,type,
    sK155: ( 'Nat_set$' * 'Nat_nat_set_fun$' ) > 'Nat$' ).

tff(func_def_548,type,
    sK156: ( 'Nat_set$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat$' ).

tff(func_def_549,type,
    sK157: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_550,type,
    sK158: ( 'Nat_set$' * 'Nat_set$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat$' ).

tff(func_def_551,type,
    sK159: ( 'Nat_set$' * 'Nat_set$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat$' ).

tff(func_def_552,type,
    sK160: 'Nat_set$' > 'Nat$' ).

tff(func_def_553,type,
    sK161: 'Nat_set$' > 'Nat_nat_fun$' ).

tff(func_def_554,type,
    sK162: ( 'Nat_set$' * 'Nat_nat_fun$' ) > 'Nat$' ).

tff(func_def_555,type,
    sK163: 'Nat_set$' > 'Nat_set$' ).

tff(func_def_556,type,
    sK164: 'Nat_set$' > 'Nat$' ).

tff(func_def_557,type,
    sK165: 'Bool_set$' > 'Bool_set$' ).

tff(func_def_558,type,
    sK166: 'Bool_set$' > tlbool ).

tff(func_def_559,type,
    sK167: 'Nat_set$' > 'Nat_set$' ).

tff(func_def_560,type,
    sK168: 'Nat_set$' > 'Nat$' ).

tff(func_def_561,type,
    sK169: 'Bool_set$' > 'Bool_set$' ).

tff(func_def_562,type,
    sK170: 'Bool_set$' > tlbool ).

tff(func_def_563,type,
    sK171: 'Nat_set_bool_fun$' > 'Nat$' ).

tff(func_def_564,type,
    sK172: 'Nat_set_bool_fun$' > 'Nat_set$' ).

tff(func_def_565,type,
    sK173: 'Bool_set_bool_fun$' > tlbool ).

tff(func_def_566,type,
    sK174: 'Bool_set_bool_fun$' > 'Bool_set$' ).

tff(func_def_567,type,
    sK175: 'Nat_set_bool_fun$' > 'Nat$' ).

tff(func_def_568,type,
    sK176: 'Nat_set_bool_fun$' > 'Nat_set$' ).

tff(func_def_569,type,
    sK177: 'Nat_set_bool_fun$' > 'Nat$' ).

tff(func_def_570,type,
    sK178: 'Bool_set_bool_fun$' > tlbool ).

tff(func_def_571,type,
    sK179: 'Bool_set_bool_fun$' > 'Bool_set$' ).

tff(func_def_572,type,
    sK180: 'Bool_set_bool_fun$' > tlbool ).

tff(func_def_573,type,
    sK181: 'Nat_set_bool_fun$' > 'Nat$' ).

tff(func_def_574,type,
    sK182: 'Nat_set_bool_fun$' > 'Nat_set$' ).

tff(func_def_575,type,
    sK183: 'Nat_set_bool_fun$' > 'Nat_set$' ).

tff(func_def_576,type,
    sK184: 'Bool_set_bool_fun$' > tlbool ).

tff(func_def_577,type,
    sK185: 'Bool_set_bool_fun$' > 'Bool_set$' ).

tff(func_def_578,type,
    sK186: 'Bool_set_bool_fun$' > 'Bool_set$' ).

tff(func_def_579,type,
    sK187: 'Bool_set$' > tlbool ).

tff(func_def_580,type,
    sK188: 'Bool_set$' > tlbool ).

tff(func_def_581,type,
    sK189: 'Nat_set_bool_fun$' > 'Nat$' ).

tff(func_def_582,type,
    sK190: 'Nat_set_bool_fun$' > 'Nat_set$' ).

tff(func_def_583,type,
    sK191: 'Bool_set_bool_fun$' > tlbool ).

tff(func_def_584,type,
    sK192: 'Bool_set_bool_fun$' > 'Bool_set$' ).

tff(func_def_585,type,
    sK193: 'Int_set_bool_fun$' > $int ).

tff(func_def_586,type,
    sK194: 'Int_set_bool_fun$' > 'Int_set$' ).

tff(func_def_587,type,
    sK195: 'Nat_set_bool_fun$' > 'Nat$' ).

tff(func_def_588,type,
    sK196: 'Nat_set_bool_fun$' > 'Nat_set$' ).

tff(func_def_589,type,
    sK197: 'Bool_set_bool_fun$' > tlbool ).

tff(func_def_590,type,
    sK198: 'Bool_set_bool_fun$' > 'Bool_set$' ).

tff(func_def_591,type,
    sK199: 'Int_set_bool_fun$' > $int ).

tff(func_def_592,type,
    sK200: 'Int_set_bool_fun$' > 'Int_set$' ).

tff(func_def_593,type,
    sK201: 'Nat_set$' > 'Nat$' ).

tff(func_def_594,type,
    sK202: 'Bool_set$' > tlbool ).

tff(func_def_595,type,
    sK203: 'Int_set$' > $int ).

tff(func_def_596,type,
    sK204: 'Nat_set$' > 'Nat$' ).

tff(func_def_597,type,
    sK205: 'Bool_set$' > tlbool ).

tff(func_def_598,type,
    sK206: 'Int_set$' > $int ).

tff(func_def_599,type,
    sK207: 'Nat_nat_fun$' > 'Nat$' ).

tff(func_def_600,type,
    sK208: 'Nat_nat_fun$' > 'Nat$' ).

tff(func_def_601,type,
    sK209: 'Bool_bool_fun$' > tlbool ).

tff(func_def_602,type,
    sK210: 'Bool_bool_fun$' > tlbool ).

tff(func_def_603,type,
    sK211: 'Nat$' ).

tff(func_def_604,type,
    sK212: 'Nat$' ).

tff(func_def_605,type,
    sK213: tlbool ).

tff(func_def_606,type,
    sK214: tlbool ).

tff(func_def_607,type,
    sK215: ( 'Nat_set$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_608,type,
    sK216: 'Nat_set_bool_fun$' > 'Nat$' ).

tff(func_def_609,type,
    sK217: 'Nat_set_bool_fun$' > 'Nat_set$' ).

tff(func_def_610,type,
    sK218: 'Bool_set_bool_fun$' > tlbool ).

tff(func_def_611,type,
    sK219: 'Bool_set_bool_fun$' > 'Bool_set$' ).

tff(func_def_612,type,
    sK220: 'Nat_set_bool_fun$' > 'Nat_set$' ).

tff(func_def_613,type,
    sK221: 'Bool_set_bool_fun$' > 'Bool_set$' ).

tff(func_def_614,type,
    sK222: ( 'Bool_set_set$' * tlbool ) > 'Bool_set$' ).

tff(func_def_615,type,
    sK223: ( 'Nat_set$' * 'Nat_set_bool_fun$' ) > 'Nat_set$' ).

tff(func_def_616,type,
    sK224: ( 'Bool_set$' * 'Bool_set_bool_fun$' ) > 'Bool_set$' ).

tff(pred_def_1,type,
    'case_option$d': ( tlbool * 'A_element_ptr_bool_fun$' * 'A_element_ptr_option$' ) > $o ).

tff(pred_def_2,type,
    'fun_app$c': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).

tff(pred_def_3,type,
    'fun_app$as': ( 'Nat_option_bool_fun$' * 'Nat_option$' ) > $o ).

tff(pred_def_4,type,
    'fun_app$bj': ( 'B_character_data_ptr_c_sum_bool_fun$' * 'B_character_data_ptr_c_sum$' ) > $o ).

tff(pred_def_5,type,
    'fun_app$n': ( 'Int_set_bool_fun$' * 'Int_set$' ) > $o ).

tff(pred_def_6,type,
    'fun_app$j': ( 'Bool_bool_fun$' * tlbool ) > $o ).

tff(pred_def_7,type,
    'fun_app$b': ( 'B_character_data_ptr_option_bool_fun$' * 'B_character_data_ptr_option$' ) > $o ).

tff(pred_def_8,type,
    'member$b': ( 'Bool_set$' * 'Bool_set_set$' ) > $o ).

tff(pred_def_9,type,
    'fun_app$ae': ( 'B_character_data_ptr_bool_fun$' * 'B_character_data_ptr$' ) > $o ).

tff(pred_def_10,type,
    'fun_app$k': ( 'Bool_set_bool_fun$' * 'Bool_set$' ) > $o ).

tff(pred_def_11,type,
    'member$c': ( 'Nat_set$' * 'Nat_set_set$' ) > $o ).

tff(pred_def_13,type,
    'member$f': ( 'B_character_data_ptr$' * 'B_character_data_ptr_set$' ) > $o ).

tff(pred_def_14,type,
    'is_empty$': 'Nat_set_set$' > $o ).

tff(pred_def_15,type,
    'fun_app$ak': ( 'A_element_ptr_bool_fun$' * 'A_element_ptr$' ) > $o ).

tff(pred_def_16,type,
    'fun_app$bk': ( 'A_element_ptr_b_character_data_ptr_c_sum_sum_bool_fun$' * 'A_element_ptr_b_character_data_ptr_c_sum_sum$' ) > $o ).

tff(pred_def_17,type,
    'finite$b': 'Bool_option_set$' > $o ).

tff(pred_def_18,type,
    'the$g': 'Bool_bool_fun$' > $o ).

tff(pred_def_19,type,
    'member$g': ( 'Bool_option$' * 'Bool_option_set$' ) > $o ).

tff(pred_def_20,type,
    'is_element_ptr_kind_n_o_d_e_p_t_r$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' > $o ).

tff(pred_def_21,type,
    'fun_app$m': ( 'Int_bool_fun$' * $int ) > $o ).

tff(pred_def_22,type,
    'is_character_data_ptr_kind_n_o_d_e_p_t_r$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' > $o ).

tff(pred_def_23,type,
    'fun_app$l': ( 'Nat_set_bool_fun$' * 'Nat_set$' ) > $o ).

tff(pred_def_24,type,
    'fun_app$bl': ( 'Bool_bool_sum_bool_fun$' * 'Bool_bool_sum$' ) > $o ).

tff(pred_def_25,type,
    'finite$': 'Nat_option_set$' > $o ).

tff(pred_def_26,type,
    'member$': ( 'B_character_data_ptr_option$' * 'B_character_data_ptr_option_set$' ) > $o ).

tff(pred_def_27,type,
    'fun_app$am': ( 'Bool_option_bool_fun$' * 'Bool_option$' ) > $o ).

tff(pred_def_28,type,
    'finite$e': 'Bool_set_set$' > $o ).

tff(f86,conjecture,
    'cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'('fun_app$al'('the$','cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'('node_ptr$'))) = 'node_ptr$',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture85) ).

tff(f87,negated_conjecture,
    ( ( ~ 'cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'('fun_app$al'('the$','cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'('node_ptr$'))) ) = 'node_ptr$' ),
    inference(negated_conjecture,[status(cth)],[f86]) ).

tff(f88,axiom,
    'is_character_data_ptr_kind_n_o_d_e_p_t_r$'('node_ptr$'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom86) ).

tff(f90,axiom,
    ! [X0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$',X1: 'B_character_data_ptr$'] :
      ( ( 'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'(X0) = 'fun_app$t'('some$',X1) )
    <=> ( 'cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'(X1) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom88) ).

tff(f93,axiom,
    ! [X0: 'B_character_data_ptr$',X1: 'A_element_ptr$'] : ( 'cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'(X0) != 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$'(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom91) ).

tff(f101,axiom,
    ! [X0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
      ( 'is_character_data_ptr_kind_n_o_d_e_p_t_r$'(X0)
    <=> 'fun_app$b'('case_option$'(tlfalse,'uu$'),'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom99) ).

tff(f102,axiom,
    ! [X0: 'B_character_data_ptr$'] : ( 'cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'(X0) = 'ext$'('fun_app$s'('inr$a','fun_app$u'('inl$',X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom100) ).

tff(f125,axiom,
    ! [X0: 'B_character_data_ptr_option$'] :
      ( ( X0 != 'none$' )
     => ( 'fun_app$t'('some$','fun_app$al'('the$',X0)) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom123) ).

tff(f246,axiom,
    ! [X0: 'A_element_ptr$'] : ~ 'is_character_data_ptr_kind_n_o_d_e_p_t_r$'('cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$'(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom244) ).

tff(f266,axiom,
    ! [X0: 'A_element_ptr$'] : ( 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$'(X0) = 'ext$'('fun_app$w'('inl$a',X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom264) ).

tff(f356,axiom,
    ! [X0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ( 'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'(X0) = 'case_node_ptr$'('case_sum$'('uvf$','case_sum$a'('some$','uvg$')),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom354) ).

tff(f769,plain,
    'node_ptr$' != 'cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'('fun_app$al'('the$','cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'('node_ptr$'))),
    inference(flattening,[],[f87]) ).

tff(f811,plain,
    ! [X0: 'B_character_data_ptr_option$'] :
      ( ( 'fun_app$t'('some$','fun_app$al'('the$',X0)) = X0 )
      | ( 'none$' = X0 ) ),
    inference(ennf_transformation,[],[f125]) ).

tff(f1331,plain,
    'node_ptr$' != 'cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'('fun_app$al'('the$','cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'('node_ptr$'))),
    inference(cnf_transformation,[],[f769]) ).

tff(f1332,plain,
    'is_character_data_ptr_kind_n_o_d_e_p_t_r$'('node_ptr$'),
    inference(cnf_transformation,[],[f88]) ).

tff(f1335,plain,
    ! [X0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$',X1: 'B_character_data_ptr$'] :
      ( ( 'cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'(X1) = X0 )
      | ( 'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'(X0) != 'fun_app$t'('some$',X1) ) ),
    inference(cnf_transformation,[],[f90]) ).

tff(f1338,plain,
    ! [X0: 'B_character_data_ptr$',X1: 'A_element_ptr$'] : ( 'cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'(X0) != 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$'(X1) ),
    inference(cnf_transformation,[],[f93]) ).

tff(f1358,plain,
    ! [X0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
      ( ~ 'fun_app$b'('case_option$'(tlfalse,'uu$'),'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'(X0))
      | 'is_character_data_ptr_kind_n_o_d_e_p_t_r$'(X0) ),
    inference(cnf_transformation,[],[f101]) ).

tff(f1359,plain,
    ! [X0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
      ( 'fun_app$b'('case_option$'(tlfalse,'uu$'),'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'(X0))
      | ~ 'is_character_data_ptr_kind_n_o_d_e_p_t_r$'(X0) ),
    inference(cnf_transformation,[],[f101]) ).

tff(f1360,plain,
    ! [X0: 'B_character_data_ptr$'] : ( 'cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'(X0) = 'ext$'('fun_app$s'('inr$a','fun_app$u'('inl$',X0))) ),
    inference(cnf_transformation,[],[f102]) ).

tff(f1399,plain,
    ! [X0: 'B_character_data_ptr_option$'] :
      ( ( 'fun_app$t'('some$','fun_app$al'('the$',X0)) = X0 )
      | ( 'none$' = X0 ) ),
    inference(cnf_transformation,[],[f811]) ).

tff(f1715,plain,
    ! [X0: 'A_element_ptr$'] : ~ 'is_character_data_ptr_kind_n_o_d_e_p_t_r$'('cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$'(X0)),
    inference(cnf_transformation,[],[f246]) ).

tff(f1756,plain,
    ! [X0: 'A_element_ptr$'] : ( 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$'(X0) = 'ext$'('fun_app$w'('inl$a',X0)) ),
    inference(cnf_transformation,[],[f266]) ).

tff(f1877,plain,
    ! [X0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ( 'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'(X0) = 'case_node_ptr$'('case_sum$'('uvf$','case_sum$a'('some$','uvg$')),X0) ),
    inference(cnf_transformation,[],[f356]) ).

tff(f2612,plain,
    'node_ptr$' != 'ext$'('fun_app$s'('inr$a','fun_app$u'('inl$','fun_app$al'('the$','case_node_ptr$'('case_sum$'('uvf$','case_sum$a'('some$','uvg$')),'node_ptr$'))))),
    inference(definition_unfolding,[],[f1331,f1360,f1877]) ).

tff(f2614,plain,
    ! [X0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$',X1: 'B_character_data_ptr$'] :
      ( ( 'fun_app$t'('some$',X1) != 'case_node_ptr$'('case_sum$'('uvf$','case_sum$a'('some$','uvg$')),X0) )
      | ( 'ext$'('fun_app$s'('inr$a','fun_app$u'('inl$',X1))) = X0 ) ),
    inference(definition_unfolding,[],[f1335,f1360,f1877]) ).

tff(f2618,plain,
    ! [X0: 'B_character_data_ptr$',X1: 'A_element_ptr$'] : ( 'ext$'('fun_app$s'('inr$a','fun_app$u'('inl$',X0))) != 'ext$'('fun_app$w'('inl$a',X1)) ),
    inference(definition_unfolding,[],[f1338,f1360,f1756]) ).

tff(f2623,plain,
    ! [X0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
      ( 'fun_app$b'('case_option$'(tlfalse,'uu$'),'case_node_ptr$'('case_sum$'('uvf$','case_sum$a'('some$','uvg$')),X0))
      | ~ 'is_character_data_ptr_kind_n_o_d_e_p_t_r$'(X0) ),
    inference(definition_unfolding,[],[f1359,f1877]) ).

tff(f2624,plain,
    ! [X0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
      ( ~ 'fun_app$b'('case_option$'(tlfalse,'uu$'),'case_node_ptr$'('case_sum$'('uvf$','case_sum$a'('some$','uvg$')),X0))
      | 'is_character_data_ptr_kind_n_o_d_e_p_t_r$'(X0) ),
    inference(definition_unfolding,[],[f1358,f1877]) ).

tff(f2633,plain,
    ! [X0: 'A_element_ptr$'] : ~ 'is_character_data_ptr_kind_n_o_d_e_p_t_r$'('ext$'('fun_app$w'('inl$a',X0))),
    inference(definition_unfolding,[],[f1715,f1756]) ).

tff(f3170,plain,
    ! [X0: 'B_character_data_ptr_option$',X1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
      ( ( 'case_node_ptr$'('case_sum$'('uvf$','case_sum$a'('some$','uvg$')),X1) != X0 )
      | ( 'ext$'('fun_app$s'('inr$a','fun_app$u'('inl$','fun_app$al'('the$',X0)))) = X1 )
      | ( 'none$' = X0 ) ),
    inference(superposition,[],[f2614,f1399]) ).

tff(f3178,plain,
    ! [X0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
      ( ( 'ext$'('fun_app$s'('inr$a','fun_app$u'('inl$','fun_app$al'('the$','case_node_ptr$'('case_sum$'('uvf$','case_sum$a'('some$','uvg$')),X0))))) = X0 )
      | ( 'none$' = 'case_node_ptr$'('case_sum$'('uvf$','case_sum$a'('some$','uvg$')),X0) ) ),
    inference(equality_resolution,[],[f3170]) ).

tff(f3182,plain,
    ( ( 'node_ptr$' != 'node_ptr$' )
    | ( 'none$' = 'case_node_ptr$'('case_sum$'('uvf$','case_sum$a'('some$','uvg$')),'node_ptr$') ) ),
    inference(superposition,[],[f2612,f3178]) ).

tff(f3184,plain,
    ! [X0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$',X1: 'A_element_ptr$'] :
      ( ( 'ext$'('fun_app$w'('inl$a',X1)) != X0 )
      | ( 'none$' = 'case_node_ptr$'('case_sum$'('uvf$','case_sum$a'('some$','uvg$')),X0) ) ),
    inference(superposition,[],[f2618,f3178]) ).

tff(f3187,plain,
    'none$' = 'case_node_ptr$'('case_sum$'('uvf$','case_sum$a'('some$','uvg$')),'node_ptr$'),
    inference(trivial_inequality_removal,[],[f3182]) ).

tff(f3192,plain,
    ( 'fun_app$b'('case_option$'(tlfalse,'uu$'),'none$')
    | ~ 'is_character_data_ptr_kind_n_o_d_e_p_t_r$'('node_ptr$') ),
    inference(superposition,[],[f2623,f3187]) ).

tff(f3193,plain,
    'fun_app$b'('case_option$'(tlfalse,'uu$'),'none$'),
    inference(forward_subsumption_resolution,[],[f3192,f1332]) ).

tff(f3195,plain,
    ! [X0: 'A_element_ptr$'] : ( 'none$' = 'case_node_ptr$'('case_sum$'('uvf$','case_sum$a'('some$','uvg$')),'ext$'('fun_app$w'('inl$a',X0))) ),
    inference(equality_resolution,[],[f3184]) ).

tff(f3198,plain,
    ! [X0: 'A_element_ptr$'] :
      ( ~ 'fun_app$b'('case_option$'(tlfalse,'uu$'),'none$')
      | 'is_character_data_ptr_kind_n_o_d_e_p_t_r$'('ext$'('fun_app$w'('inl$a',X0))) ),
    inference(superposition,[],[f2624,f3195]) ).

tff(f3200,plain,
    ! [X0: 'A_element_ptr$'] : 'is_character_data_ptr_kind_n_o_d_e_p_t_r$'('ext$'('fun_app$w'('inl$a',X0))),
    inference(forward_subsumption_resolution,[],[f3198,f3193]) ).

tff(f3221,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f2633,f3200]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP306_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.42  % Computer : n005.cluster.edu
% 0.14/0.42  % Model    : x86_64 x86_64
% 0.14/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42  % Memory   : 8046.5625MB
% 0.14/0.42  % OS       : Linux 6.8.0-71-generic
% 0.14/0.42  % CPULimit : 300
% 0.14/0.42  % WCLimit  : 300
% 0.14/0.42  % DateTime : Sun Sep 27 12:53:32 UTC 2026
% 0.14/0.42  % CPUTime  : 
% 0.14/0.42  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.47  Running first-order model finding
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.31/0.73  % (3960938)Will run a generic schedule for satisfiability detection.
% 1.31/0.73  % (3960943)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1275595371_2999 on theBenchmark for (2999ds/0Mi)
% 1.31/0.73  % (3960947)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3186398294:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.31/0.73  % (3960944)% WARNING: option uhcvi not known.
% 1.31/0.73  % (3960944)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=664250496:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.31/0.73  % (3960946)dis+10_1_sil=32000:sp=arity:random_seed=2168496985:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.31/0.73  % (3960945)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=164780406:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.31/0.73  % (3960949)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=883295461:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.31/0.73  % (3960948)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2285524082:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.31/0.73  % (3960943)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.31/0.73  % (3960943)Terminated due to inappropriate strategy.
% 1.31/0.73  % (3960943)------------------------------
% 1.31/0.73  % (3960943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.73  % (3960943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.73  % (3960943)CaDiCaL version: 2.1.3
% 1.31/0.73  % (3960943)Termination reason: Inappropriate
% 1.31/0.73  % (3960943)Time elapsed: 0.042 s
% 1.31/0.73  % (3960943)Peak memory usage: 13 MB
% 1.31/0.73  % (3960943)Instructions burned: 85 (million)
% 1.31/0.73  % (3960943)------------------------------
% 1.31/0.73  % (3960943)------------------------------
% 1.31/0.73  % (3960957)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2000221111:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.31/0.73  % (3960957)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.31/0.73  % (3960957)Terminated due to inappropriate strategy.
% 1.31/0.73  % (3960957)------------------------------
% 1.31/0.73  % (3960957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.73  % (3960957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.73  % (3960957)CaDiCaL version: 2.1.3
% 1.31/0.73  % (3960957)Termination reason: Inappropriate
% 1.31/0.73  % (3960957)Time elapsed: 0.040 s
% 1.31/0.73  % (3960957)Peak memory usage: 13 MB
% 1.31/0.73  % (3960957)Instructions burned: 72 (million)
% 1.31/0.73  % (3960957)------------------------------
% 1.31/0.73  % (3960957)------------------------------
% 1.31/0.73  % (3960947)Instruction limit reached! 
% 1.31/0.73  % (3960947)------------------------------
% 1.31/0.73  % (3960947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.73  % (3960947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.73  % (3960947)CaDiCaL version: 2.1.3
% 1.31/0.73  % (3960947)Termination reason: Instruction limit
% 1.31/0.73  % (3960947)Termination phase: Saturation
% 1.31/0.73  % (3960947)Time elapsed: 0.102 s
% 1.31/0.73  % (3960947)Peak memory usage: 14 MB
% 1.31/0.73  % (3960947)Instructions burned: 117 (million)
% 1.31/0.73  % (3960946)Instruction limit reached! 
% 1.31/0.73  % (3960946)------------------------------
% 1.31/0.73  % (3960946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.73  % (3960946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.73  % (3960946)CaDiCaL version: 2.1.3
% 1.31/0.73  % (3960946)Termination reason: Instruction limit
% 1.31/0.73  % (3960946)Termination phase: Saturation
% 1.31/0.73  % (3960946)Time elapsed: 0.097 s
% 1.31/0.73  % (3960946)Peak memory usage: 14 MB
% 1.31/0.73  % (3960946)Instructions burned: 103 (million)
% 1.31/0.73  % (3960961)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2147629446:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.31/0.73  % (3960960)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3539334475:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.31/0.73  % (3960948)Instruction limit reached! 
% 1.31/0.73  % (3960948)------------------------------
% 1.31/0.73  % (3960948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.73  % (3960948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.73  % (3960948)CaDiCaL version: 2.1.3
% 1.31/0.73  % (3960948)Termination reason: Instruction limit
% 1.31/0.73  % (3960948)Termination phase: Saturation
% 1.31/0.73  % (3960948)Time elapsed: 0.121 s
% 1.31/0.73  % (3960948)Peak memory usage: 14 MB
% 1.31/0.73  % (3960948)Instructions burned: 131 (million)
% 1.31/0.73  % (3960962)ott-21_1_sil=16000:fs=off:random_seed=467554773:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.31/0.73  % (3960965)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1775817594:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.31/0.73  % (3960949)Instruction limit reached! 
% 1.31/0.73  % (3960949)------------------------------
% 1.31/0.73  % (3960949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.73  % (3960949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.73  % (3960949)CaDiCaL version: 2.1.3
% 1.31/0.73  % (3960949)Termination reason: Instruction limit
% 1.31/0.73  % (3960949)Termination phase: Saturation
% 1.31/0.73  % (3960949)Time elapsed: 0.156 s
% 1.31/0.73  % (3960949)Peak memory usage: 15 MB
% 1.31/0.73  % (3960949)Instructions burned: 159 (million)
% 1.31/0.73  % (3960961) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3960938-3960961"...
% 1.31/0.73  % (3960961)...printing done.
% 1.31/0.73  % (3960961)Refutation found. Thanks to Tanya!
% 1.31/0.73  % SZS status Theorem for theBenchmark
% 1.31/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.74  % (3960961)------------------------------
% 1.31/0.74  % (3960961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.74  % (3960961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.74  % (3960961)CaDiCaL version: 2.1.3
% 1.31/0.74  % (3960961)Termination reason: Refutation
% 1.31/0.74  % (3960961)Time elapsed: 0.054 s
% 1.31/0.74  % (3960961)Peak memory usage: 15 MB
% 1.31/0.74  % (3960961)Instructions burned: 105 (million)
% 1.31/0.74  % (3960938)Success in time 0.249 s
% 1.31/0.74  % Vampire exiting
%------------------------------------------------------------------------------