%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n019.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 11:33:34 AM UTC 2026
% Result : Theorem 8.25s 2.28s
% Output : Refutation 9.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 60 ( 24 unt; 0 typ; 5 def)
% Number of atoms : 109 ( 52 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 91 ( 42 ~; 35 |; 5 &)
% ( 8 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 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 : 31 ( 29 usr; 3 prp; 0-3 aty)
% Number of functors : 615 ( 615 usr; 99 con; 0-3 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?; 32 :)
% 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$' > 'Nat_set$' ).
tff(func_def_393,type,
sK1: 'Nat_set$' > 'Nat$' ).
tff(func_def_394,type,
sK2: 'Bool_bool_sum$' > tlbool ).
tff(func_def_395,type,
sK3: 'Bool_bool_sum$' > tlbool ).
tff(func_def_396,type,
sK4: 'B_character_data_ptr_option$' > 'B_character_data_ptr$' ).
tff(func_def_397,type,
sK5: 'Bool_set_set$' > 'Bool_set$' ).
tff(func_def_398,type,
sK6: 'Nat_set_bool_fun$' > 'Nat_set$' ).
tff(func_def_399,type,
sK7: 'Nat_set_bool_fun$' > 'Nat$' ).
tff(func_def_400,type,
sK8: 'Nat_set_bool_fun$' > 'Nat_set$' ).
tff(func_def_401,type,
sK9: 'Nat_set$' > 'Nat$' ).
tff(func_def_402,type,
sK10: 'Nat_set$' > 'Nat_set$' ).
tff(func_def_403,type,
sK11: ( 'Bool_option$' * 'Bool_option_b_character_data_ptr_option_bool_fun_fun$' * 'B_character_data_ptr_option$' ) > 'B_character_data_ptr$' ).
tff(func_def_404,type,
sK12: ( 'Bool_option$' * 'Bool_option_b_character_data_ptr_option_bool_fun_fun$' * 'B_character_data_ptr_option$' ) > tlbool ).
tff(func_def_405,type,
sK13: 'B_character_data_ptr_option$' > 'B_character_data_ptr$' ).
tff(func_def_406,type,
sK14: ( 'Bool_set$' * 'Bool_set_bool_fun$' ) > 'Bool_set$' ).
tff(func_def_407,type,
sK15: ( 'Bool_set_option$' * 'Bool_set_bool_fun$' ) > 'Bool_set$' ).
tff(func_def_408,type,
sK16: 'Nat_set_bool_fun$' > 'Nat_set$' ).
tff(func_def_409,type,
sK17: ( 'B_character_data_ptr_bool_fun$' * 'B_character_data_ptr_option$' ) > 'B_character_data_ptr$' ).
tff(func_def_410,type,
sK18: ( 'Nat_bool_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_411,type,
sK19: ( 'Bool_nat_option_fun$' * 'Nat_option_bool_fun$' * 'Bool_option$' ) > tlbool ).
tff(func_def_412,type,
sK20: 'Bool_option$' > tlbool ).
tff(func_def_413,type,
sK21: ( 'Bool_set_set$' * tlbool ) > 'Bool_set$' ).
tff(func_def_414,type,
sK22: 'Bool_bool_sum$' > tlbool ).
tff(func_def_415,type,
sK23: 'Bool_bool_sum$' > tlbool ).
tff(func_def_416,type,
sK24: 'Int_set$' > $int ).
tff(func_def_417,type,
sK25: 'Bool_set_bool_fun$' > tlbool ).
tff(func_def_418,type,
sK26: 'Bool_set_bool_fun$' > 'Bool_set$' ).
tff(func_def_419,type,
sK27: 'Bool_set_set$' > 'Bool_set$' ).
tff(func_def_420,type,
sK28: 'Bool_set_set$' > 'Bool_set$' ).
tff(func_def_421,type,
sK29: 'B_character_data_ptr_c_sum_bool_fun$' > 'C$' ).
tff(func_def_422,type,
sK30: 'B_character_data_ptr_c_sum_bool_fun$' > 'B_character_data_ptr$' ).
tff(func_def_423,type,
sK31: 'B_character_data_ptr_c_sum_bool_fun$' > 'B_character_data_ptr_c_sum$' ).
tff(func_def_424,type,
sK32: 'Bool_bool_sum$' > tlbool ).
tff(func_def_425,type,
sK33: 'Nat_set_bool_fun$' > 'Nat$' ).
tff(func_def_426,type,
sK34: 'Nat_set_bool_fun$' > 'Nat_set$' ).
tff(func_def_427,type,
sK35: 'Nat_set_bool_fun$' > 'Nat$' ).
tff(func_def_428,type,
sK36: ( 'Bool_option_bool_fun$' * 'Nat_bool_option_fun$' * 'Nat_option$' ) > 'Nat$' ).
tff(func_def_429,type,
sK37: ( 'B_character_data_ptr_nat_option_fun$' * 'B_character_data_ptr_option$' * 'Nat$' ) > 'B_character_data_ptr$' ).
tff(func_def_430,type,
sK38: ( 'Bool_bool_fun$' * 'Bool_option$' ) > tlbool ).
tff(func_def_431,type,
sK39: 'Bool_set_set$' > 'Bool_set$' ).
tff(func_def_432,type,
sK40: ( 'Nat_bool_fun$' * 'Nat_option$' ) > 'Nat$' ).
tff(func_def_433,type,
sK41: ( 'Bool_bool_fun$' * 'Bool_bool_fun$' ) > tlbool ).
tff(func_def_434,type,
sK42: 'B_character_data_ptr_option_bool_fun$' > 'B_character_data_ptr_option$' ).
tff(func_def_435,type,
sK43: 'B_character_data_ptr_option_bool_fun$' > 'B_character_data_ptr$' ).
tff(func_def_436,type,
sK44: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_437,type,
sK45: 'A_element_ptr_b_character_data_ptr_c_sum_sum_bool_fun$' > 'A_element_ptr$' ).
tff(func_def_438,type,
sK46: 'A_element_ptr_b_character_data_ptr_c_sum_sum_bool_fun$' > 'B_character_data_ptr_c_sum$' ).
tff(func_def_439,type,
sK47: 'A_element_ptr_b_character_data_ptr_c_sum_sum_bool_fun$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum$' ).
tff(func_def_440,type,
sK48: ( 'Bool_option$' * 'B_character_data_ptr_option_bool_fun$' * 'Bool_b_character_data_ptr_option_fun$' ) > tlbool ).
tff(func_def_441,type,
sK49: ( 'Nat$' * 'Nat_set_set$' ) > 'Nat_set$' ).
tff(func_def_442,type,
sK50: 'Bool_set_set$' > 'Bool_set$' ).
tff(func_def_443,type,
sK51: ( 'Nat_set_bool_fun$' * 'Nat_set_option$' ) > 'Nat_set$' ).
tff(func_def_444,type,
sK52: ( 'Bool_option_bool_fun$' * 'B_character_data_ptr_bool_option_fun$' * 'B_character_data_ptr_option$' ) > 'B_character_data_ptr$' ).
tff(func_def_445,type,
sK53: '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_446,type,
sK54: 'A_element_ptr_b_character_data_ptr_c_sum_sum_bool_fun$' > 'B_character_data_ptr_c_sum$' ).
tff(func_def_447,type,
sK55: 'A_element_ptr_b_character_data_ptr_c_sum_sum_bool_fun$' > 'A_element_ptr$' ).
tff(func_def_448,type,
sK56: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_449,type,
sK57: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_450,type,
sK58: ( 'Nat_option$' * 'Nat_nat_option_fun$' * 'Nat_option_bool_fun$' ) > 'Nat$' ).
tff(func_def_451,type,
sK59: 'B_character_data_ptr_c_sum$' > 'C$' ).
tff(func_def_452,type,
sK60: 'B_character_data_ptr_c_sum$' > 'B_character_data_ptr$' ).
tff(func_def_453,type,
sK61: 'B_character_data_ptr_option$' > 'B_character_data_ptr$' ).
tff(func_def_454,type,
sK62: ( 'B_character_data_ptr_option_bool_option_bool_fun_fun$' * 'B_character_data_ptr_option$' * 'Bool_option$' ) > 'B_character_data_ptr$' ).
tff(func_def_455,type,
sK63: ( 'B_character_data_ptr_option_bool_option_bool_fun_fun$' * 'B_character_data_ptr_option$' * 'Bool_option$' ) > tlbool ).
tff(func_def_456,type,
sK64: 'Bool_option$' > tlbool ).
tff(func_def_457,type,
sK65: ( 'Bool_option$' * 'Nat_option_bool_option_bool_fun_fun$' * 'Nat_option$' ) > tlbool ).
tff(func_def_458,type,
sK66: ( 'Bool_option$' * 'Nat_option_bool_option_bool_fun_fun$' * 'Nat_option$' ) > 'Nat$' ).
tff(func_def_459,type,
sK67: 'Bool_set_bool_fun$' > 'Bool_set$' ).
tff(func_def_460,type,
sK68: 'Bool_set_bool_fun$' > 'Bool_set$' ).
tff(func_def_461,type,
sK69: 'Bool_set_bool_fun$' > tlbool ).
tff(func_def_462,type,
sK70: 'Int_set_bool_fun$' > 'Int_set$' ).
tff(func_def_463,type,
sK71: 'Int_set_bool_fun$' > $int ).
tff(func_def_464,type,
sK72: ( 'Nat_set$' * 'Nat_set_bool_fun$' ) > 'Nat_set$' ).
tff(func_def_465,type,
sK73: ( 'Nat_set$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat$' ).
tff(func_def_466,type,
sK74: ( 'Nat_bool_option_fun$' * tlbool * 'Nat_option$' ) > 'Nat$' ).
tff(func_def_467,type,
sK75: 'Nat_set_bool_fun$' > 'Nat_set$' ).
tff(func_def_468,type,
sK76: 'Nat_set_bool_fun$' > 'Nat$' ).
tff(func_def_469,type,
sK77: ( 'Nat_bool_option_fun$' * 'Bool_option_bool_fun$' * 'Nat_option$' ) > 'Nat$' ).
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: 'B_character_data_ptr_c_sum_bool_fun$' > 'B_character_data_ptr_c_sum$' ).
tff(func_def_473,type,
sK81: ( 'Nat_option_b_character_data_ptr_option_bool_fun_fun$' * 'Nat_option$' * 'B_character_data_ptr_option$' ) > 'Nat$' ).
tff(func_def_474,type,
sK82: ( 'Nat_option_b_character_data_ptr_option_bool_fun_fun$' * 'Nat_option$' * 'B_character_data_ptr_option$' ) > 'B_character_data_ptr$' ).
tff(func_def_475,type,
sK83: ( 'Bool_option$' * 'Bool_option_nat_option_bool_fun_fun$' * 'Nat_option$' ) > 'Nat$' ).
tff(func_def_476,type,
sK84: ( 'Bool_option$' * 'Bool_option_nat_option_bool_fun_fun$' * 'Nat_option$' ) > tlbool ).
tff(func_def_477,type,
sK85: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_478,type,
sK86: 'Int_set$' > $int ).
tff(func_def_479,type,
sK87: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_480,type,
sK88: 'Bool_set_bool_fun$' > 'Bool_set$' ).
tff(func_def_481,type,
sK89: 'Bool_set_bool_fun$' > tlbool ).
tff(func_def_482,type,
sK90: 'Bool_option_bool_fun$' > 'Bool_option$' ).
tff(func_def_483,type,
sK91: 'Bool_option_bool_fun$' > tlbool ).
tff(func_def_484,type,
sK92: ( 'Bool_option$' * 'B_character_data_ptr_option_bool_fun$' * 'Bool_b_character_data_ptr_option_fun$' ) > tlbool ).
tff(func_def_485,type,
sK93: 'Bool_set_set$' > 'Bool_set$' ).
tff(func_def_486,type,
sK94: 'Nat_set_bool_fun$' > 'Nat_set$' ).
tff(func_def_487,type,
sK95: ( 'Bool_b_character_data_ptr_option_fun$' * 'Bool_option$' * 'B_character_data_ptr$' ) > tlbool ).
tff(func_def_488,type,
sK96: ( 'B_character_data_ptr_bool_option_fun$' * 'B_character_data_ptr_option$' * tlbool ) > 'B_character_data_ptr$' ).
tff(func_def_489,type,
sK97: 'Int_bool_fun$' > $int ).
tff(func_def_490,type,
sK98: 'Bool_set$' > tlbool ).
tff(func_def_491,type,
sK99: 'Bool_bool_fun$' > tlbool ).
tff(func_def_492,type,
sK100: 'Nat_option_bool_fun$' > 'Nat$' ).
tff(func_def_493,type,
sK101: 'Nat_option_bool_fun$' > 'Nat_option$' ).
tff(func_def_494,type,
sK102: 'Bool_set$' > tlbool ).
tff(func_def_495,type,
sK103: ( 'Nat_option_bool_fun$' * 'B_character_data_ptr_nat_option_fun$' * 'B_character_data_ptr_option$' ) > 'B_character_data_ptr$' ).
tff(func_def_496,type,
sK104: 'Bool_bool_fun$' > tlbool ).
tff(func_def_497,type,
sK105: 'Nat_set$' > 'Nat$' ).
tff(func_def_498,type,
sK106: 'Nat_set$' > 'Nat$' ).
tff(func_def_499,type,
sK107: 'A_element_ptr_b_character_data_ptr_c_sum_sum$' > 'B_character_data_ptr_c_sum$' ).
tff(func_def_500,type,
sK108: 'A_element_ptr_b_character_data_ptr_c_sum_sum$' > 'A_element_ptr$' ).
tff(func_def_501,type,
sK109: 'Nat_option_bool_fun$' > 'Nat_option$' ).
tff(func_def_502,type,
sK110: 'Nat_option_bool_fun$' > 'Nat$' ).
tff(func_def_503,type,
sK111: 'B_character_data_ptr_option_bool_fun$' > 'B_character_data_ptr$' ).
tff(func_def_504,type,
sK112: 'B_character_data_ptr_option_bool_fun$' > 'B_character_data_ptr_option$' ).
tff(func_def_505,type,
sK113: 'Bool_set$' > tlbool ).
tff(func_def_506,type,
sK114: 'Bool_set$' > 'Bool_set$' ).
tff(func_def_507,type,
sK115: 'Bool_set_bool_fun$' > 'Bool_set$' ).
tff(func_def_508,type,
sK116: tlbool ).
tff(func_def_509,type,
sK117: tlbool ).
tff(func_def_510,type,
sK118: ( 'Bool_bool_fun$' * 'Bool_option$' ) > tlbool ).
tff(func_def_511,type,
sK119: ( 'Bool_bool_option_fun$' * tlbool * 'Bool_option$' ) > tlbool ).
tff(func_def_512,type,
sK120: ( 'B_character_data_ptr$' * 'B_character_data_ptr_b_character_data_ptr_option_fun$' * 'B_character_data_ptr_option$' ) > 'B_character_data_ptr$' ).
tff(func_def_513,type,
sK121: 'Bool_set$' > tlbool ).
tff(func_def_514,type,
sK122: 'Bool_set_bool_fun$' > 'Bool_set$' ).
tff(func_def_515,type,
sK123: 'Bool_set_bool_fun$' > tlbool ).
tff(func_def_516,type,
sK124: ( 'Nat_option_nat_option_bool_fun_fun$' * 'Nat_option$' * 'Nat_option$' ) > 'Nat$' ).
tff(func_def_517,type,
sK125: ( 'Nat_option_nat_option_bool_fun_fun$' * 'Nat_option$' * 'Nat_option$' ) > 'Nat$' ).
tff(func_def_518,type,
sK126: 'Int_set$' > $int ).
tff(func_def_519,type,
sK127: 'Bool_set$' > tlbool ).
tff(func_def_520,type,
sK128: 'Int_set$' > $int ).
tff(func_def_521,type,
sK129: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_522,type,
sK130: 'Int_set$' > $int ).
tff(func_def_523,type,
sK131: ( 'B_character_data_ptr_option_b_character_data_ptr_option_bool_fun_fun$' * 'B_character_data_ptr_option$' * 'B_character_data_ptr_option$' ) > 'B_character_data_ptr$' ).
tff(func_def_524,type,
sK132: ( 'B_character_data_ptr_option_b_character_data_ptr_option_bool_fun_fun$' * 'B_character_data_ptr_option$' * 'B_character_data_ptr_option$' ) > 'B_character_data_ptr$' ).
tff(func_def_525,type,
sK133: ( 'B_character_data_ptr$' * 'Nat_b_character_data_ptr_option_fun$' * 'Nat_option$' ) > 'Nat$' ).
tff(func_def_526,type,
sK134: 'Nat_option$' > 'Nat$' ).
tff(func_def_527,type,
sK135: ( 'B_character_data_ptr_option_bool_fun$' * 'Nat_b_character_data_ptr_option_fun$' * 'Nat_option$' ) > 'Nat$' ).
tff(func_def_528,type,
sK136: 'Bool_option$' > tlbool ).
tff(func_def_529,type,
sK137: 'Nat_set_bool_fun$' > 'Nat_set$' ).
tff(func_def_530,type,
sK138: 'Nat_set_bool_fun$' > 'Nat$' ).
tff(func_def_531,type,
sK139: 'Int_set_bool_fun$' > 'Int_set$' ).
tff(func_def_532,type,
sK140: 'Int_set_bool_fun$' > $int ).
tff(func_def_533,type,
sK141: ( 'Nat_set$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_534,type,
sK142: 'Bool_set$' > 'Bool_set$' ).
tff(func_def_535,type,
sK143: 'Bool_set$' > tlbool ).
tff(func_def_536,type,
sK144: 'B_character_data_ptr_option_bool_fun$' > 'B_character_data_ptr_option$' ).
tff(func_def_537,type,
sK145: 'Bool_set$' > tlbool ).
tff(func_def_538,type,
sK146: 'Bool_set$' > tlbool ).
tff(func_def_539,type,
sK147: 'Nat$' ).
tff(func_def_540,type,
sK148: 'Nat$' ).
tff(func_def_541,type,
sK149: 'Bool_set_set$' > 'Bool_set$' ).
tff(func_def_542,type,
sK150: ( 'B_character_data_ptr_option$' * 'B_character_data_ptr_bool_fun$' ) > 'B_character_data_ptr$' ).
tff(func_def_543,type,
sK151: 'Nat_set$' > 'Nat$' ).
tff(func_def_544,type,
sK152: ( 'Bool_option$' * 'Bool_option_bool_fun$' * 'Bool_bool_option_fun$' ) > tlbool ).
tff(func_def_545,type,
sK153: ( 'Nat_option$' * 'B_character_data_ptr_option_bool_fun$' * 'Nat_b_character_data_ptr_option_fun$' ) > 'Nat$' ).
tff(func_def_546,type,
sK154: 'Nat_option$' > 'Nat$' ).
tff(func_def_547,type,
sK155: ( 'Nat_nat_set_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_548,type,
sK156: ( 'B_character_data_ptr_option$' * 'B_character_data_ptr_nat_option_fun$' * 'Nat_option_bool_fun$' ) > 'B_character_data_ptr$' ).
tff(func_def_549,type,
sK157: 'Bool_bool_sum_bool_fun$' > 'Bool_bool_sum$' ).
tff(func_def_550,type,
sK158: 'Bool_bool_sum_bool_fun$' > tlbool ).
tff(func_def_551,type,
sK159: 'Bool_bool_sum_bool_fun$' > tlbool ).
tff(func_def_552,type,
sK160: ( 'Nat_nat_bool_fun_fun$' * 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_553,type,
sK161: ( 'Nat_nat_bool_fun_fun$' * 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_554,type,
sK162: '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_555,type,
sK163: 'Int_bool_fun$' > $int ).
tff(func_def_556,type,
sK164: ( 'B_character_data_ptr_option$' * 'B_character_data_ptr_bool_option_fun$' * 'Bool_option_bool_fun$' ) > 'B_character_data_ptr$' ).
tff(func_def_557,type,
sK165: 'Bool_set$' > tlbool ).
tff(func_def_558,type,
sK166: 'Bool_set$' > tlbool ).
tff(func_def_559,type,
sK167: ( 'Int_option$' * 'Int_bool_fun$' ) > $int ).
tff(func_def_560,type,
sK168: ( 'Nat$' * 'Bool_nat_option_fun$' * 'Bool_option$' ) > tlbool ).
tff(func_def_561,type,
sK169: 'B_character_data_ptr_c_sum$' > 'B_character_data_ptr$' ).
tff(func_def_562,type,
sK170: 'Nat_set_bool_fun$' > 'Nat_set$' ).
tff(func_def_563,type,
sK171: 'Bool_node_ptr$' > tlbool ).
tff(func_def_564,type,
sK172: 'Bool_set_bool_fun$' > tlbool ).
tff(func_def_565,type,
sK173: 'Bool_set_bool_fun$' > 'Bool_set$' ).
tff(func_def_566,type,
sK174: 'Bool_set_bool_fun$' > tlbool ).
tff(func_def_567,type,
sK175: ( 'B_character_data_ptr_option_bool_fun$' * 'B_character_data_ptr_option$' * 'B_character_data_ptr_b_character_data_ptr_option_fun$' ) > 'B_character_data_ptr$' ).
tff(func_def_568,type,
sK176: 'Bool_bool_sum$' > tlbool ).
tff(func_def_569,type,
sK177: 'Bool_bool_sum$' > tlbool ).
tff(func_def_570,type,
sK178: 'Nat_set_bool_fun$' > 'Nat_set$' ).
tff(func_def_571,type,
sK179: 'Nat_set_bool_fun$' > 'Nat$' ).
tff(func_def_572,type,
sK180: 'Bool_set$' > tlbool ).
tff(func_def_573,type,
sK181: 'Nat_set$' > 'Nat$' ).
tff(func_def_574,type,
sK182: 'B_character_data_ptr_c_sum$' > 'C$' ).
tff(func_def_575,type,
sK183: 'B_character_data_ptr_c_sum$' > 'B_character_data_ptr$' ).
tff(func_def_576,type,
sK184: 'Nat_set_set$' > 'Nat_set$' ).
tff(func_def_577,type,
sK185: 'Bool_set_bool_fun$' > 'Bool_set$' ).
tff(func_def_578,type,
sK186: 'Bool_set_bool_fun$' > tlbool ).
tff(func_def_579,type,
sK187: 'Bool_set$' > tlbool ).
tff(func_def_580,type,
sK188: 'Bool_set$' > tlbool ).
tff(func_def_581,type,
sK189: 'Nat_set$' > 'Nat$' ).
tff(func_def_582,type,
sK190: 'Nat_set$' > 'Nat_nat_fun$' ).
tff(func_def_583,type,
sK191: ( 'B_character_data_ptr_option_bool_fun$' * 'B_character_data_ptr_option_bool_fun$' ) > 'B_character_data_ptr_option$' ).
tff(func_def_584,type,
sK192: ( 'Nat_set$' * 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_585,type,
sK193: ( 'Nat_option_bool_fun$' * 'Nat_nat_option_fun$' * 'Nat_option$' ) > 'Nat$' ).
tff(func_def_586,type,
sK194: ( 'B_character_data_ptr_option_bool_fun$' * 'B_character_data_ptr_b_character_data_ptr_option_fun$' * 'B_character_data_ptr_option$' ) > 'B_character_data_ptr$' ).
tff(func_def_587,type,
sK195: ( 'Nat_nat_option_fun$' * 'Nat$' * 'Nat_option$' ) > 'Nat$' ).
tff(func_def_588,type,
sK196: 'Nat_set_set$' > 'Nat_set$' ).
tff(func_def_589,type,
sK197: 'Nat_option$' > 'Nat$' ).
tff(func_def_590,type,
sK198: 'Nat_set_set$' > 'Nat_set$' ).
tff(func_def_591,type,
sK199: 'Nat_set$' > 'Nat$' ).
tff(func_def_592,type,
sK200: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' > 'A_element_ptr$' ).
tff(func_def_593,type,
sK201: ( 'Bool_nat_option_fun$' * 'Bool_option$' * 'Nat_option_bool_fun$' ) > tlbool ).
tff(func_def_594,type,
sK202: 'Bool_bool_fun$' > tlbool ).
tff(func_def_595,type,
sK203: 'Bool_bool_fun$' > tlbool ).
tff(func_def_596,type,
sK204: ( 'B_character_data_ptr_option$' * 'B_character_data_ptr_option_nat_option_bool_fun_fun$' * 'Nat_option$' ) > 'Nat$' ).
tff(func_def_597,type,
sK205: ( 'B_character_data_ptr_option$' * 'B_character_data_ptr_option_nat_option_bool_fun_fun$' * 'Nat_option$' ) > 'B_character_data_ptr$' ).
tff(func_def_598,type,
sK206: 'Nat_set_bool_fun$' > 'Nat$' ).
tff(func_def_599,type,
sK207: 'Nat_set_bool_fun$' > 'Nat_set$' ).
tff(func_def_600,type,
sK208: 'A_element_ptr_b_character_data_ptr_c_sum_sum$' > 'B_character_data_ptr_c_sum$' ).
tff(func_def_601,type,
sK209: 'A_element_ptr_b_character_data_ptr_c_sum_sum$' > 'A_element_ptr$' ).
tff(func_def_602,type,
sK210: ( 'Bool_option_bool_fun$' * 'Bool_bool_option_fun$' * 'Bool_option$' ) > tlbool ).
tff(func_def_603,type,
sK211: ( 'Bool_option_bool_option_bool_fun_fun$' * 'Bool_option$' * 'Bool_option$' ) > tlbool ).
tff(func_def_604,type,
sK212: ( 'Bool_option_bool_option_bool_fun_fun$' * 'Bool_option$' * 'Bool_option$' ) > tlbool ).
tff(func_def_605,type,
sK213: 'B_character_data_ptr_option_bool_fun$' > 'B_character_data_ptr_option$' ).
tff(func_def_606,type,
sK214: ( 'Nat_option$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_607,type,
sK215: 'Bool_option_bool_fun$' > 'Bool_option$' ).
tff(func_def_608,type,
sK216: 'Bool_option_bool_fun$' > tlbool ).
tff(func_def_609,type,
sK217: 'B_character_data_ptr_c_sum$' > 'B_character_data_ptr$' ).
tff(func_def_610,type,
sK218: 'B_character_data_ptr_c_sum$' > 'C$' ).
tff(func_def_611,type,
sK219: 'Bool_bool_sum_bool_fun$' > 'Bool_bool_sum$' ).
tff(func_def_612,type,
sK220: 'Bool_bool_sum_bool_fun$' > tlbool ).
tff(func_def_613,type,
sK221: 'Bool_bool_sum_bool_fun$' > tlbool ).
tff(func_def_614,type,
sK222: 'A_element_ptr_b_character_data_ptr_c_sum_sum$' > 'B_character_data_ptr_c_sum$' ).
tff(func_def_615,type,
sK223: 'A_element_ptr_b_character_data_ptr_c_sum_sum$' > 'A_element_ptr$' ).
tff(func_def_616,type,
sF224: 'B_character_data_ptr_option$' ).
tff(func_def_617,type,
sF225: 'B_character_data_ptr$' ).
tff(func_def_618,type,
sF226: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' ).
tff(pred_def_1,type,
'case_option$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$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom86) ).
tff(f90,axiom,
! [X1: 'B_character_data_ptr$',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) = '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$'(X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom88) ).
tff(f91,axiom,
! [X0: 'B_character_data_ptr$'] : ( '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$'('cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'(X0)) = 'fun_app$t'('some$',X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom89) ).
tff(f101,axiom,
! [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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom99) ).
tff(f141,axiom,
! [X0: 'B_character_data_ptr_option$'] :
( ( X0 != 'none$' )
<=> 'fun_app$b'('case_option$'(tlfalse,'uu$'),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom139) ).
tff(f319,axiom,
! [X0: 'B_character_data_ptr_option$'] :
( ( X0 != 'none$' )
=> 'member$f'('fun_app$al'('the$',X0),'set_option$e'(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom317) ).
tff(f326,axiom,
! [X1: 'B_character_data_ptr_option$',X0: 'B_character_data_ptr$'] :
( 'member$f'(X0,'set_option$e'(X1))
<=> ( X1 = 'fun_app$t'('some$',X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom324) ).
tff(f802,plain,
! [X1: 'B_character_data_ptr$',X0: 'B_character_data_ptr_option$'] :
( 'member$f'(X1,'set_option$e'(X0))
<=> ( 'fun_app$t'('some$',X1) = X0 ) ),
inference(rectify,[],[f326]) ).
tff(f1024,plain,
'node_ptr$' != '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$'))),
inference(flattening,[],[f87]) ).
tff(f1028,plain,
! [X0: 'B_character_data_ptr$',X1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
( ( 'cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'(X0) = X1 )
<=> ( 'fun_app$t'('some$',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$'(X1) ) ),
inference(rectify,[],[f90]) ).
tff(f1333,plain,
! [X0: 'B_character_data_ptr_option$'] :
( ( 'none$' = X0 )
| 'member$f'('fun_app$al'('the$',X0),'set_option$e'(X0)) ),
inference(ennf_transformation,[],[f319]) ).
tff(f1809,plain,
! [X0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
( ( '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$'(X0) )
& ( 'is_character_data_ptr_kind_n_o_d_e_p_t_r$'(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)) ) ),
inference(nnf_transformation,[],[f101]) ).
tff(f1917,plain,
! [X1: 'B_character_data_ptr$',X0: 'B_character_data_ptr_option$'] :
( ( 'member$f'(X1,'set_option$e'(X0))
| ( 'fun_app$t'('some$',X1) != X0 ) )
& ( ( 'fun_app$t'('some$',X1) = X0 )
| ~ 'member$f'(X1,'set_option$e'(X0)) ) ),
inference(nnf_transformation,[],[f802]) ).
tff(f1918,plain,
! [X0: 'B_character_data_ptr$',X1: 'B_character_data_ptr_option$'] :
( ( 'member$f'(X0,'set_option$e'(X1))
| ( 'fun_app$t'('some$',X0) != X1 ) )
& ( ( 'fun_app$t'('some$',X0) = X1 )
| ~ 'member$f'(X0,'set_option$e'(X1)) ) ),
inference(rectify,[],[f1917]) ).
tff(f2341,plain,
! [X0: 'B_character_data_ptr_option$'] :
( ( ( X0 != 'none$' )
| ~ 'fun_app$b'('case_option$'(tlfalse,'uu$'),X0) )
& ( 'fun_app$b'('case_option$'(tlfalse,'uu$'),X0)
| ( 'none$' = X0 ) ) ),
inference(nnf_transformation,[],[f141]) ).
tff(f2434,plain,
! [X0: 'B_character_data_ptr$',X1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
( ( ( 'cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'(X0) = X1 )
| ( 'fun_app$t'('some$',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$'(X1) ) )
& ( ( 'fun_app$t'('some$',X0) = 'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'(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$'(X0) != X1 ) ) ),
inference(nnf_transformation,[],[f1028]) ).
tff(f2897,plain,
! [X0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
( '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$'(X0) ),
inference(cnf_transformation,[],[f1809]) ).
tff(f3031,plain,
! [X0: 'B_character_data_ptr_option$'] :
( 'member$f'('fun_app$al'('the$',X0),'set_option$e'(X0))
| ( 'none$' = X0 ) ),
inference(cnf_transformation,[],[f1333]) ).
tff(f3093,plain,
'node_ptr$' != '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$'))),
inference(cnf_transformation,[],[f1024]) ).
tff(f3109,plain,
! [X0: 'B_character_data_ptr$',X1: 'B_character_data_ptr_option$'] :
( ~ 'member$f'(X0,'set_option$e'(X1))
| ( 'fun_app$t'('some$',X0) = X1 ) ),
inference(cnf_transformation,[],[f1918]) ).
tff(f3210,plain,
'is_character_data_ptr_kind_n_o_d_e_p_t_r$'('node_ptr$'),
inference(cnf_transformation,[],[f88]) ).
tff(f3803,plain,
! [X0: 'B_character_data_ptr_option$'] :
( ( 'none$' != X0 )
| ~ 'fun_app$b'('case_option$'(tlfalse,'uu$'),X0) ),
inference(cnf_transformation,[],[f2341]) ).
tff(f3850,plain,
! [X0: 'B_character_data_ptr$'] : ( 'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'('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$'(X0)) = 'fun_app$t'('some$',X0) ),
inference(cnf_transformation,[],[f91]) ).
tff(f3984,plain,
! [X0: 'B_character_data_ptr$',X1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
( ( 'fun_app$t'('some$',X0) != 'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'(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$'(X0) = X1 ) ),
inference(cnf_transformation,[],[f2434]) ).
tff(f4329,plain,
~ 'fun_app$b'('case_option$'(tlfalse,'uu$'),'none$'),
inference(equality_resolution,[],[f3803]) ).
tff(f4375,definition,
sF224 = 'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'('node_ptr$'),
introduced(definition,[new_symbols(definition,[sF224])],[function_definition]) ).
tff(f4376,plain,
'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'('node_ptr$') = sF224,
inference(reorient_equations,[],[f4375]) ).
tff(f4377,definition,
sF225 = 'fun_app$al'('the$',sF224),
introduced(definition,[new_symbols(definition,[sF225])],[function_definition]) ).
tff(f4378,plain,
'fun_app$al'('the$',sF224) = sF225,
inference(reorient_equations,[],[f4377]) ).
tff(f4379,definition,
sF226 = 'cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'(sF225),
introduced(definition,[new_symbols(definition,[sF226])],[function_definition]) ).
tff(f4380,plain,
'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$'(sF225) = sF226,
inference(reorient_equations,[],[f4379]) ).
tff(f4381,plain,
'node_ptr$' != sF226,
inference(definition_folding,[],[f3093,f4380,f4378,f4376]) ).
tff(f4680,plain,
'fun_app$t'('some$',sF225) = '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$'(sF226),
inference(superposition,[],[f3850,f4380]) ).
tff(f4793,plain,
( 'fun_app$b'('case_option$'(tlfalse,'uu$'),sF224)
| ~ 'is_character_data_ptr_kind_n_o_d_e_p_t_r$'('node_ptr$') ),
inference(superposition,[],[f2897,f4376]) ).
tff(f4796,plain,
'fun_app$b'('case_option$'(tlfalse,'uu$'),sF224),
inference(forward_subsumption_resolution,[],[f4793,f3210]) ).
tff(f5332,plain,
( 'member$f'(sF225,'set_option$e'(sF224))
| ( 'none$' = sF224 ) ),
inference(superposition,[],[f3031,f4378]) ).
tff(f5393,definition,
( spl227_7
<=> ( 'none$' = sF224 ) ),
introduced(definition,[new_symbols(definition,[spl227_7])],[avatar_definition]) ).
tff(f5395,plain,
( ( 'none$' = sF224 )
| ~ spl227_7 ),
inference(avatar_component_clause,[],[f5393]) ).
tff(f5397,definition,
( spl227_8
<=> 'member$f'(sF225,'set_option$e'(sF224)) ),
introduced(definition,[new_symbols(definition,[spl227_8])],[avatar_definition]) ).
tff(f5399,plain,
( 'member$f'(sF225,'set_option$e'(sF224))
| ~ spl227_8 ),
inference(avatar_component_clause,[],[f5397]) ).
tff(f5400,plain,
( spl227_7
| spl227_8 ),
inference(avatar_split_clause,[],[f5332,f5397,f5393]) ).
tff(f5407,plain,
( 'fun_app$b'('case_option$'(tlfalse,'uu$'),'none$')
| ~ spl227_7 ),
inference(superposition,[],[f4796,f5395]) ).
tff(f5409,plain,
( $false
| ~ spl227_7 ),
inference(forward_subsumption_resolution,[],[f5407,f4329]) ).
tff(f5410,plain,
~ spl227_7,
inference(avatar_contradiction_clause,[],[f5409]) ).
tff(f5429,plain,
( ( 'fun_app$t'('some$',sF225) = sF224 )
| ~ spl227_8 ),
inference(resolution,[],[f5399,f3109]) ).
tff(f5430,plain,
( ( 'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'(sF226) = sF224 )
| ~ spl227_8 ),
inference(superposition,[],[f5429,f4680]) ).
tff(f6059,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) != '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$'(sF226) )
| ( 'cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'(sF225) = X0 ) ),
inference(superposition,[],[f3984,f4680]) ).
tff(f6062,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) != sF224 )
| ( '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$'(sF225) = X0 ) )
| ~ spl227_8 ),
inference(forward_demodulation,[],[f6059,f5430]) ).
tff(f6064,plain,
( ! [X0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
( ( '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$'(X0) != sF224 )
| ( sF226 = X0 ) )
| ~ spl227_8 ),
inference(forward_demodulation,[],[f6062,f4380]) ).
tff(f6090,plain,
( ( sF224 != sF224 )
| ( 'node_ptr$' = sF226 )
| ~ spl227_8 ),
inference(superposition,[],[f6064,f4376]) ).
tff(f6092,plain,
( ( 'node_ptr$' = sF226 )
| ~ spl227_8 ),
inference(trivial_inequality_removal,[],[f6090]) ).
tff(f6093,plain,
( $false
| ~ spl227_8 ),
inference(forward_subsumption_resolution,[],[f6092,f4381]) ).
tff(f6094,plain,
~ spl227_8,
inference(avatar_contradiction_clause,[],[f6093]) ).
cnf(s6,plain,
( spl227_7
| spl227_8 ),
inference(sat_conversion,[],[f5400]) ).
cnf(s7,plain,
~ spl227_7,
inference(sat_conversion,[],[f5410]) ).
cnf(s9,plain,
~ spl227_8,
inference(sat_conversion,[],[f6094]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s6,s9,s7]) ).
tff(f6095,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----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 THM
% 0.11/0.38 % Computer : n019.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 12:53:49 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.45 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.32/1.52 % (3067419)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.32/1.52 % (3067478)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3591923445:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.32/1.52 % (3067473)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3197857056:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.32/1.52 % (3067475)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1211880524:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.32/1.52 % (3067477)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1146388787:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.32/1.52 % (3067476)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2413203217:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.32/1.52 % (3067472)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2520179971:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.32/1.52 % (3067474)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4101275014:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.32/1.52 % (3067476)Instruction limit reached!
% 3.32/1.52 % (3067476)------------------------------
% 3.32/1.52 % (3067476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.52 % (3067476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.52 % (3067476)CaDiCaL version: 2.1.3
% 3.32/1.52 % (3067476)Termination reason: Instruction limit
% 3.32/1.52 % (3067476)Termination phase: Property scanning
% 3.32/1.52 % (3067476)Time elapsed: 0.004 s
% 3.32/1.52 % (3067476)Peak memory usage: 86 MB
% 3.32/1.52 % (3067476)Instructions burned: 6 (million)
% 3.32/1.52 % (3067475)Instruction limit reached!
% 3.32/1.52 % (3067475)------------------------------
% 3.32/1.52 % (3067475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.52 % (3067475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.52 % (3067475)CaDiCaL version: 2.1.3
% 3.32/1.52 % (3067475)Termination reason: Instruction limit
% 3.32/1.52 % (3067475)Termination phase: Property scanning
% 3.32/1.52 % (3067475)Time elapsed: 0.005 s
% 3.32/1.52 % (3067475)Peak memory usage: 86 MB
% 3.32/1.52 % (3067475)Instructions burned: 9 (million)
% 3.32/1.52 % (3067472)Instruction limit reached!
% 3.32/1.52 % (3067472)------------------------------
% 3.32/1.52 % (3067472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.52 % (3067472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.52 % (3067472)CaDiCaL version: 2.1.3
% 3.32/1.52 % (3067472)Termination reason: Instruction limit
% 3.32/1.52 % (3067472)Termination phase: Property scanning
% 3.32/1.52 % (3067472)Time elapsed: 0.007 s
% 3.32/1.52 % (3067472)Peak memory usage: 86 MB
% 3.32/1.52 % (3067472)Instructions burned: 13 (million)
% 3.32/1.52 % (3067478)Instruction limit reached!
% 3.32/1.52 % (3067478)------------------------------
% 3.32/1.52 % (3067478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.52 % (3067478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.52 % (3067478)CaDiCaL version: 2.1.3
% 3.32/1.52 % (3067478)Termination reason: Instruction limit
% 3.32/1.52 % (3067478)Termination phase: Preprocessing 3
% 3.32/1.52 % (3067478)Time elapsed: 0.019 s
% 3.32/1.52 % (3067478)Peak memory usage: 88 MB
% 3.32/1.52 % (3067478)Instructions burned: 33 (million)
% 3.32/1.52 % (3067477)Instruction limit reached!
% 3.32/1.52 % (3067477)------------------------------
% 3.32/1.52 % (3067477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.52 % (3067477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.52 % (3067477)CaDiCaL version: 2.1.3
% 3.32/1.52 % (3067477)Termination reason: Instruction limit
% 3.32/1.52 % (3067477)Termination phase: Function definition elimination
% 3.32/1.52 % (3067477)Time elapsed: 0.049 s
% 3.32/1.52 % (3067477)Peak memory usage: 88 MB
% 3.32/1.52 % (3067477)Instructions burned: 46 (million)
% 3.32/1.52 % (3067488)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=120930507:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.87/1.65 % (3067487)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2921524308:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.87/1.65 % (3067489)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1679776486:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.87/1.65 % (3067487)Instruction limit reached!
% 3.87/1.65 % (3067487)------------------------------
% 3.87/1.65 % (3067487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.65 % (3067487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.65 % (3067487)CaDiCaL version: 2.1.3
% 3.87/1.65 % (3067487)Termination reason: Instruction limit
% 3.87/1.65 % (3067487)Termination phase: Preprocessing 1
% 3.87/1.65 % (3067487)Time elapsed: 0.010 s
% 3.87/1.65 % (3067487)Peak memory usage: 86 MB
% 3.87/1.65 % (3067487)Instructions burned: 15 (million)
% 3.87/1.65 % (3067489)Instruction limit reached!
% 3.87/1.65 % (3067489)------------------------------
% 3.87/1.65 % (3067489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.65 % (3067489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.65 % (3067489)CaDiCaL version: 2.1.3
% 3.87/1.65 % (3067489)Termination reason: Instruction limit
% 3.87/1.65 % (3067489)Termination phase: shuffling
% 3.87/1.65 % (3067489)Time elapsed: 0.011 s
% 3.87/1.65 % (3067489)Peak memory usage: 86 MB
% 3.87/1.65 % (3067489)Instructions burned: 16 (million)
% 3.87/1.65 % (3067488)Instruction limit reached!
% 3.87/1.65 % (3067488)------------------------------
% 3.87/1.65 % (3067488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.65 % (3067488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.65 % (3067488)CaDiCaL version: 2.1.3
% 3.87/1.65 % (3067488)Termination reason: Instruction limit
% 3.87/1.65 % (3067488)Termination phase: Preprocessing 3
% 3.87/1.65 % (3067488)Time elapsed: 0.018 s
% 3.87/1.65 % (3067488)Peak memory usage: 88 MB
% 3.87/1.65 % (3067488)Instructions burned: 29 (million)
% 3.87/1.65 % (3067490)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3003146307:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 3.87/1.65 % (3067474)Instruction limit reached!
% 3.87/1.65 % (3067474)------------------------------
% 3.87/1.65 % (3067474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.65 % (3067474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.65 % (3067474)CaDiCaL version: 2.1.3
% 3.87/1.65 % (3067474)Termination reason: Instruction limit
% 3.87/1.65 % (3067474)Termination phase: Saturation
% 3.87/1.65 % (3067474)Time elapsed: 0.151 s
% 3.87/1.65 % (3067474)Peak memory usage: 117 MB
% 3.87/1.65 % (3067474)Instructions burned: 202 (million)
% 3.87/1.65 % (3067490)Instruction limit reached!
% 3.87/1.65 % (3067490)------------------------------
% 3.87/1.65 % (3067490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.65 % (3067490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.65 % (3067490)CaDiCaL version: 2.1.3
% 3.87/1.65 % (3067490)Termination reason: Instruction limit
% 3.87/1.65 % (3067490)Termination phase: Naming
% 3.87/1.65 % (3067490)Time elapsed: 0.015 s
% 3.87/1.65 % (3067490)Peak memory usage: 87 MB
% 3.87/1.65 % (3067490)Instructions burned: 24 (million)
% 3.87/1.65 % (3067491)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=2458781256:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.87/1.65 % (3067491)Instruction limit reached!
% 3.87/1.65 % (3067491)------------------------------
% 3.87/1.65 % (3067491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.65 % (3067491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.65 % (3067491)CaDiCaL version: 2.1.3
% 3.87/1.65 % (3067491)Termination reason: Instruction limit
% 3.87/1.65 % (3067491)Termination phase: Preprocessing 3
% 3.87/1.65 % (3067491)Time elapsed: 0.010 s
% 3.87/1.65 % (3067491)Peak memory usage: 88 MB
% 3.87/1.65 % (3067491)Instructions burned: 29 (million)
% 3.87/1.65 % (3067473)Instruction limit reached!
% 3.87/1.65 % (3067473)------------------------------
% 3.87/1.65 % (3067473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.65 % (3067473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.82 % (3067473)CaDiCaL version: 2.1.3
% 5.30/1.82 % (3067473)Termination reason: Instruction limit
% 5.30/1.82 % (3067473)Termination phase: Saturation
% 5.30/1.82 % (3067473)Time elapsed: 0.199 s
% 5.30/1.82 % (3067473)Peak memory usage: 119 MB
% 5.30/1.82 % (3067473)Instructions burned: 308 (million)
% 5.30/1.82 % (3067503)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1198072388:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.30/1.82 % (3067501)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2012912302:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 5.30/1.82 % (3067503)Instruction limit reached!
% 5.30/1.82 % (3067503)------------------------------
% 5.30/1.82 % (3067503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.82 % (3067503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.82 % (3067503)CaDiCaL version: 2.1.3
% 5.30/1.82 % (3067503)Termination reason: Instruction limit
% 5.30/1.82 % (3067503)Termination phase: Property scanning
% 5.30/1.82 % (3067503)Time elapsed: 0.003 s
% 5.30/1.82 % (3067503)Peak memory usage: 86 MB
% 5.30/1.82 % (3067503)Instructions burned: 3 (million)
% 5.30/1.82 % (3067506)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=783987651:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.30/1.82 % (3067524)lrs+10_1_thi=all:si=on:fd=off:random_seed=1455599986:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.30/1.82 % (3067512)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3496012923:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.30/1.82 % (3067512)Instruction limit reached!
% 5.30/1.82 % (3067512)------------------------------
% 5.30/1.82 % (3067512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.82 % (3067512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.82 % (3067512)CaDiCaL version: 2.1.3
% 5.30/1.82 % (3067512)Termination reason: Instruction limit
% 5.30/1.82 % (3067512)Termination phase: Property scanning
% 5.30/1.82 % (3067512)Time elapsed: 0.004 s
% 5.30/1.82 % (3067512)Peak memory usage: 86 MB
% 5.30/1.82 % (3067512)Instructions burned: 6 (million)
% 5.30/1.82 % (3067524)Instruction limit reached!
% 5.30/1.82 % (3067524)------------------------------
% 5.30/1.82 % (3067524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.82 % (3067524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.82 % (3067524)CaDiCaL version: 2.1.3
% 5.30/1.82 % (3067524)Termination reason: Instruction limit
% 5.30/1.82 % (3067524)Termination phase: Preprocessing 3
% 5.30/1.82 % (3067524)Time elapsed: 0.017 s
% 5.30/1.82 % (3067524)Peak memory usage: 88 MB
% 5.30/1.82 % (3067524)Instructions burned: 54 (million)
% 5.30/1.82 % (3067518)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2601307613:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.30/1.82 % (3067501)Instruction limit reached!
% 5.30/1.82 % (3067501)------------------------------
% 5.30/1.82 % (3067501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.82 % (3067501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.82 % (3067501)CaDiCaL version: 2.1.3
% 5.30/1.82 % (3067501)Termination reason: Instruction limit
% 5.30/1.82 % (3067501)Termination phase: Property scanning
% 5.30/1.82 % (3067501)Time elapsed: 0.047 s
% 5.30/1.82 % (3067501)Peak memory usage: 89 MB
% 5.30/1.82 % (3067501)Instructions burned: 85 (million)
% 5.30/1.82 % (3067518)Instruction limit reached!
% 5.30/1.82 % (3067518)------------------------------
% 5.30/1.82 % (3067518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.82 % (3067518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.82 % (3067518)CaDiCaL version: 2.1.3
% 5.30/1.82 % (3067518)Termination reason: Instruction limit
% 5.30/1.82 % (3067518)Termination phase: Property scanning
% 5.30/1.82 % (3067518)Time elapsed: 0.038 s
% 5.30/1.82 % (3067518)Peak memory usage: 89 MB
% 5.30/1.82 % (3067518)Instructions burned: 66 (million)
% 5.30/1.82 % (3067532)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=604236435:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 6.00/1.99 % (3067532)Instruction limit reached!
% 6.00/1.99 % (3067532)------------------------------
% 6.00/1.99 % (3067532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.99 % (3067532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.99 % (3067532)CaDiCaL version: 2.1.3
% 6.00/1.99 % (3067532)Termination reason: Instruction limit
% 6.00/1.99 % (3067532)Termination phase: shuffling
% 6.00/1.99 % (3067532)Time elapsed: 0.005 s
% 6.00/1.99 % (3067532)Peak memory usage: 85 MB
% 6.00/1.99 % (3067532)Instructions burned: 8 (million)
% 6.00/1.99 % (3067506)Refutation not found, incomplete strategy
% 6.00/1.99 % (3067506)------------------------------
% 6.00/1.99 % (3067506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.99 % (3067506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.99 % (3067506)CaDiCaL version: 2.1.3
% 6.00/1.99 % (3067506)Termination reason: Refutation not found, incomplete strategy
% 6.00/1.99 % (3067506)Time elapsed: 0.092 s
% 6.00/1.99 % (3067506)Peak memory usage: 90 MB
% 6.00/1.99 % (3067506)Instructions burned: 159 (million)
% 6.00/1.99 % (3067565)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=241207342:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 6.00/1.99 % (3067552)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=2674414141:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 6.00/1.99 % (3067552)Instruction limit reached!
% 6.00/1.99 % (3067552)------------------------------
% 6.00/1.99 % (3067552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.99 % (3067552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.99 % (3067552)CaDiCaL version: 2.1.3
% 6.00/1.99 % (3067552)Termination reason: Instruction limit
% 6.00/1.99 % (3067552)Termination phase: Property scanning
% 6.00/1.99 % (3067552)Time elapsed: 0.003 s
% 6.00/1.99 % (3067552)Peak memory usage: 86 MB
% 6.00/1.99 % (3067552)Instructions burned: 3 (million)
% 6.00/1.99 % (3067561)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=3939801863:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 6.00/1.99 % (3067561)Instruction limit reached!
% 6.00/1.99 % (3067561)------------------------------
% 6.00/1.99 % (3067561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.99 % (3067561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.99 % (3067561)CaDiCaL version: 2.1.3
% 6.00/1.99 % (3067561)Termination reason: Instruction limit
% 6.00/1.99 % (3067561)Termination phase: Property scanning
% 6.00/1.99 % (3067561)Time elapsed: 0.003 s
% 6.00/1.99 % (3067561)Peak memory usage: 86 MB
% 6.00/1.99 % (3067561)Instructions burned: 3 (million)
% 6.00/1.99 % (3067565)Instruction limit reached!
% 6.00/1.99 % (3067565)------------------------------
% 6.00/1.99 % (3067565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.99 % (3067565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.99 % (3067565)CaDiCaL version: 2.1.3
% 6.00/1.99 % (3067565)Termination reason: Instruction limit
% 6.00/1.99 % (3067565)Termination phase: Saturation
% 6.00/1.99 % (3067565)Time elapsed: 0.057 s
% 6.00/1.99 % (3067565)Peak memory usage: 115 MB
% 6.00/1.99 % (3067565)Instructions burned: 128 (million)
% 6.00/1.99 % (3067575)dis+10_1_si=on:random_seed=2302770501:i=10:ep=R:rtra=on_2995 on theBenchmark for (2995ds/10Mi)
% 6.00/1.99 % (3067575)Instruction limit reached!
% 6.00/1.99 % (3067575)------------------------------
% 6.00/1.99 % (3067575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.99 % (3067575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.99 % (3067575)CaDiCaL version: 2.1.3
% 6.00/1.99 % (3067575)Termination reason: Instruction limit
% 6.00/1.99 % (3067575)Termination phase: Property scanning
% 6.00/1.99 % (3067575)Time elapsed: 0.006 s
% 6.00/1.99 % (3067575)Peak memory usage: 86 MB
% 6.00/1.99 % (3067575)Instructions burned: 10 (million)
% 6.00/1.99 % (3067581)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2337584231:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 6.00/1.99 % (3067581)Instruction limit reached!
% 6.00/1.99 % (3067581)------------------------------
% 6.00/1.99 % (3067581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.25/2.27 % (3067581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.25/2.27 % (3067581)CaDiCaL version: 2.1.3
% 8.25/2.27 % (3067581)Termination reason: Instruction limit
% 8.25/2.27 % (3067581)Termination phase: Preprocessing 3
% 8.25/2.27 % (3067581)Time elapsed: 0.016 s
% 8.25/2.27 % (3067581)Peak memory usage: 88 MB
% 8.25/2.27 % (3067581)Instructions burned: 26 (million)
% 8.25/2.27 % (3067588)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=63865266:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2994 on theBenchmark for (2994ds/35Mi)
% 8.25/2.27 % (3067588)Instruction limit reached!
% 8.25/2.27 % (3067588)------------------------------
% 8.25/2.27 % (3067588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.25/2.27 % (3067588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.25/2.27 % (3067588)CaDiCaL version: 2.1.3
% 8.25/2.27 % (3067588)Termination reason: Instruction limit
% 8.25/2.27 % (3067588)Termination phase: Preprocessing 3
% 8.25/2.27 % (3067588)Time elapsed: 0.023 s
% 8.25/2.27 % (3067588)Peak memory usage: 88 MB
% 8.25/2.27 % (3067588)Instructions burned: 36 (million)
% 8.25/2.27 % (3067598)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=908413604:i=2:fsr=off:rtra=on:inst=on_2994 on theBenchmark for (2994ds/2Mi)
% 8.25/2.27 % (3067598)Instruction limit reached!
% 8.25/2.27 % (3067598)------------------------------
% 8.25/2.27 % (3067598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.25/2.27 % (3067598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.25/2.27 % (3067598)CaDiCaL version: 2.1.3
% 8.25/2.27 % (3067598)Termination reason: Instruction limit
% 8.25/2.27 % (3067598)Termination phase: shuffling
% 8.25/2.27 % (3067598)Time elapsed: 0.002 s
% 8.25/2.27 % (3067598)Peak memory usage: 85 MB
% 8.25/2.27 % (3067598)Instructions burned: 2 (million)
% 8.25/2.27 % (3067607)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=105578933:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2994 on theBenchmark for (2994ds/8Mi)
% 8.25/2.27 % (3067607)Instruction limit reached!
% 8.25/2.27 % (3067607)------------------------------
% 8.25/2.27 % (3067607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.25/2.27 % (3067607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.25/2.27 % (3067607)CaDiCaL version: 2.1.3
% 8.25/2.27 % (3067607)Termination reason: Instruction limit
% 8.25/2.27 % (3067607)Termination phase: Property scanning
% 8.25/2.27 % (3067607)Time elapsed: 0.005 s
% 8.25/2.27 % (3067607)Peak memory usage: 86 MB
% 8.25/2.27 % (3067607)Instructions burned: 8 (million)
% 8.25/2.27 % (3067613)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=521870300:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 8.25/2.27 % (3067619)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=2969647653:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2993 on theBenchmark for (2993ds/13Mi)
% 8.25/2.27 % (3067619)Instruction limit reached!
% 8.25/2.27 % (3067619)------------------------------
% 8.25/2.27 % (3067619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.25/2.27 % (3067619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.25/2.27 % (3067619)CaDiCaL version: 2.1.3
% 8.25/2.27 % (3067619)Termination reason: Instruction limit
% 8.25/2.27 % (3067619)Termination phase: Property scanning
% 8.25/2.27 % (3067619)Time elapsed: 0.007 s
% 8.25/2.27 % (3067619)Peak memory usage: 85 MB
% 8.25/2.27 % (3067619)Instructions burned: 14 (million)
% 8.25/2.27 % (3067506)------------------------------
% 8.25/2.27 % (3067506)------------------------------
% 8.25/2.27 % (3067625)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=729061606:i=226:rtra=on:gtg=position:ss=axioms_2993 on theBenchmark for (2993ds/226Mi)
% 8.25/2.27 % (3067634)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=1622587161:i=10:rtra=on_2993 on theBenchmark for (2993ds/10Mi)
% 8.25/2.27 % (3067634)Instruction limit reached!
% 8.25/2.27 % (3067634)------------------------------
% 8.25/2.27 % (3067634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.25/2.27 % (3067634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.25/2.27 % (3067634)CaDiCaL version: 2.1.3
% 8.25/2.27 % (3067634)Termination reason: Instruction limit
% 8.25/2.27 % (3067634)Termination phase: Preprocessing 1
% 8.25/2.27 % (3067634)Time elapsed: 0.007 s
% 8.25/2.27 % (3067634)Peak memory usage: 86 MB
% 8.25/2.27 % (3067634)Instructions burned: 11 (million)
% 8.25/2.27 % (3067635)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=1410498639:i=71:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/71Mi)
% 8.25/2.27 % (3067625)Refutation not found, incomplete strategy
% 8.25/2.27 % (3067625)------------------------------
% 8.25/2.27 % (3067625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.25/2.27 % (3067625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.25/2.27 % (3067625)CaDiCaL version: 2.1.3
% 8.25/2.27 % (3067625)Termination reason: Refutation not found, incomplete strategy
% 8.25/2.27 % (3067625)Time elapsed: 0.044 s
% 8.25/2.27 % (3067625)Peak memory usage: 116 MB
% 8.25/2.27 % (3067625)Instructions burned: 35 (million)
% 8.25/2.27 % (3067638)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=2110875419:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2992 on theBenchmark for (2992ds/75Mi)
% 8.25/2.27 % (3067613)Instruction limit reached!
% 8.25/2.27 % (3067613)------------------------------
% 8.25/2.27 % (3067613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.25/2.27 % (3067613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.25/2.27 % (3067613)CaDiCaL version: 2.1.3
% 8.25/2.27 % (3067613)Termination reason: Instruction limit
% 8.25/2.27 % (3067613)Termination phase: Saturation
% 8.25/2.27 % (3067613)Time elapsed: 0.125 s
% 8.25/2.27 % (3067613)Peak memory usage: 95 MB
% 8.25/2.27 % (3067613)Instructions burned: 372 (million)
% 8.25/2.27 % (3067635)Instruction limit reached!
% 8.25/2.27 % (3067635)------------------------------
% 8.25/2.27 % (3067635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.25/2.27 % (3067635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.25/2.27 % (3067635)CaDiCaL version: 2.1.3
% 8.25/2.27 % (3067635)Termination reason: Instruction limit
% 8.25/2.27 % (3067635)Termination phase: Saturation
% 8.25/2.27 % (3067635)Time elapsed: 0.041 s
% 8.25/2.27 % (3067635)Peak memory usage: 90 MB
% 8.25/2.27 % (3067635)Instructions burned: 73 (million)
% 8.25/2.27 % (3067640)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2393738677:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2992 on theBenchmark for (2992ds/294Mi)
% 8.25/2.27 % (3067638)Instruction limit reached!
% 8.25/2.27 % (3067638)------------------------------
% 8.25/2.27 % (3067638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.25/2.27 % (3067638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.25/2.27 % (3067638)CaDiCaL version: 2.1.3
% 8.25/2.27 % (3067638)Termination reason: Instruction limit
% 8.25/2.27 % (3067638)Termination phase: Saturation
% 8.25/2.27 % (3067638)Time elapsed: 0.041 s
% 8.25/2.27 % (3067638)Peak memory usage: 90 MB
% 8.25/2.27 % (3067638)Instructions burned: 77 (million)
% 8.25/2.27 % (3067647)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=2202492226:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2992 on theBenchmark for (2992ds/130Mi)
% 8.25/2.27 % (3067653)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=2211280750:i=131:rtra=on_2991 on theBenchmark for (2991ds/131Mi)
% 8.25/2.27 % (3067668)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=1743330525:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2991 on theBenchmark for (2991ds/40Mi)
% 8.25/2.27 % (3067677)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=892545598:i=307:rtra=on:gtg=exists_top_2991 on theBenchmark for (2991ds/307Mi)
% 8.25/2.27 % (3067668)Instruction limit reached!
% 8.25/2.27 % (3067668)------------------------------
% 8.25/2.27 % (3067668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.25/2.27 % (3067668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.25/2.27 % (3067668)CaDiCaL version: 2.1.3
% 8.25/2.27 % (3067668)Termination reason: Instruction limit
% 8.25/2.27 % (3067668)Termination phase: Naming
% 8.25/2.27 % (3067668)Time elapsed: 0.021 s
% 8.25/2.27 % (3067668)Peak memory usage: 87 MB
% 8.25/2.27 % (3067668)Instructions burned: 41 (million)
% 8.25/2.28 % (3067647)Instruction limit reached!
% 8.25/2.28 % (3067647)------------------------------
% 8.25/2.28 % (3067647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.25/2.28 % (3067647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.25/2.28 % (3067647)CaDiCaL version: 2.1.3
% 8.25/2.28 % (3067647)Termination reason: Instruction limit
% 8.25/2.28 % (3067647)Termination phase: Saturation
% 8.25/2.28 % (3067647)Time elapsed: 0.096 s
% 8.25/2.28 % (3067647)Peak memory usage: 115 MB
% 8.25/2.28 % (3067647)Instructions burned: 131 (million)
% 8.25/2.28 % (3067691)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=3055250394:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2991 on theBenchmark for (2991ds/598Mi)
% 8.25/2.28 % (3067640)First to succeed.
% 8.25/2.28 % (3067640)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3067419"
% 8.25/2.28 % (3067653)Instruction limit reached!
% 8.25/2.28 % (3067653)------------------------------
% 8.25/2.28 % (3067653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.25/2.28 % (3067653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.25/2.28 % (3067653)CaDiCaL version: 2.1.3
% 8.25/2.28 % (3067653)Termination reason: Instruction limit
% 8.25/2.28 % (3067653)Termination phase: Saturation
% 8.25/2.28 % (3067653)Time elapsed: 0.121 s
% 8.25/2.28 % (3067653)Peak memory usage: 134 MB
% 8.25/2.28 % (3067653)Instructions burned: 132 (million)
% 8.25/2.28 % (3067625)------------------------------
% 8.25/2.28 % (3067625)------------------------------
% 8.25/2.28 % (3067702)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=3456119124:i=131:canc=cautious:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/131Mi)
% 8.25/2.28 % (3067704)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=4257336290:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2990 on theBenchmark for (2990ds/259Mi)
% 8.25/2.28 % (3067702)Instruction limit reached!
% 8.25/2.28 % (3067702)------------------------------
% 8.25/2.28 % (3067702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.25/2.28 % (3067702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.25/2.28 % (3067702)CaDiCaL version: 2.1.3
% 8.25/2.28 % (3067702)Termination reason: Instruction limit
% 8.25/2.28 % (3067702)Termination phase: Saturation
% 8.25/2.28 % (3067702)Time elapsed: 0.056 s
% 8.25/2.28 % (3067702)Peak memory usage: 116 MB
% 8.25/2.28 % (3067702)Instructions burned: 133 (million)
% 8.25/2.28 % (3067677)Instruction limit reached!
% 8.25/2.28 % (3067677)------------------------------
% 8.25/2.28 % (3067677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.25/2.28 % (3067677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.25/2.28 % (3067677)CaDiCaL version: 2.1.3
% 8.25/2.28 % (3067677)Termination reason: Instruction limit
% 8.25/2.28 % (3067677)Termination phase: Saturation
% 8.25/2.28 % (3067677)Time elapsed: 0.188 s
% 8.25/2.28 % (3067677)Peak memory usage: 95 MB
% 8.25/2.28 % (3067677)Instructions burned: 308 (million)
% 8.25/2.28 % (3067691)Also succeeded, but the first one will report.
% 8.25/2.28 % (3067705)dis+10_1_si=on:random_seed=2997703782:s2a=on:i=1000:rtra=on:gtg=exists_all_2989 on theBenchmark for (2989ds/1000Mi)
% 8.25/2.28 % (3067707)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=3617180352:i=383:fsr=off:rtra=on:ev=force_2989 on theBenchmark for (2989ds/383Mi)
% 8.25/2.28 % (3067709)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=2456667323:i=141:doe=on:rtra=on_2988 on theBenchmark for (2988ds/141Mi)
% 8.25/2.28 % (3067640)Refutation found. Thanks to Tanya!
% 8.25/2.28 % SZS status Theorem for theBenchmark
% 8.25/2.28 % SZS output start Proof for theBenchmark
% See solution above
% 9.41/2.47 % (3067640)------------------------------
% 9.41/2.47 % (3067640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.47 % (3067640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.47 % (3067640)CaDiCaL version: 2.1.3
% 9.41/2.47 % (3067640)Termination reason: Refutation
% 9.41/2.47 % (3067640)Time elapsed: 0.133 s
% 9.41/2.47 % (3067640)Peak memory usage: 94 MB
% 9.41/2.47 % (3067640)Instructions burned: 188 (million)
% 9.41/2.47 % (3067640)------------------------------
% 9.41/2.47 % (3067640)------------------------------
% 9.41/2.47 % (3067419)Success in time 1.265 s
% 9.41/2.47 % Vampire exiting
%------------------------------------------------------------------------------