%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP386_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:33:45 AM UTC 2026
% Result : Theorem 2.05s 1.70s
% Output : Refutation 5.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 59 ( 19 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 63 ( 30 ~; 23 |; 8 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 92 ( 91 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 42 ( 40 usr; 2 prp; 0-2 aty)
% Number of functors : 420 ( 420 usr; 65 con; 0-4 aty)
% Number of variables : 46 ( 36 !; 10 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'B_b_option_fun_b_b_option_fun_fun$': $tType ).
tff(type_def_6,type,
'B_b_option_fun_b_option_fun$': $tType ).
tff(type_def_7,type,
'A_option_c_option_fun$': $tType ).
tff(type_def_8,type,
'A_a_option_fun_c_c_option_fun_fun$': $tType ).
tff(type_def_9,type,
'A_c_fun$': $tType ).
tff(type_def_10,type,
'C_c_option_fun$': $tType ).
tff(type_def_11,type,
'C_option$': $tType ).
tff(type_def_12,type,
'C_c_option_fun_a_a_option_fun_fun$': $tType ).
tff(type_def_13,type,
'B_option$': $tType ).
tff(type_def_14,type,
'B_option_c_option_bool_fun_fun$': $tType ).
tff(type_def_15,type,
'B_b_fun$': $tType ).
tff(type_def_16,type,
'B_c_c_option_fun_fun$': $tType ).
tff(type_def_17,type,
'C_c_c_fun_fun$': $tType ).
tff(type_def_18,type,
'C_c_fun$': $tType ).
tff(type_def_19,type,
'B_option_b_option_fun$': $tType ).
tff(type_def_20,type,
'B_c_option_fun$': $tType ).
tff(type_def_21,type,
'C_a_option_fun$': $tType ).
tff(type_def_22,type,
'C_option_set$': $tType ).
tff(type_def_23,type,
'C_a_fun$': $tType ).
tff(type_def_24,type,
'C_option_c_option_bool_fun_fun$': $tType ).
tff(type_def_25,type,
'A_option_bool_fun$': $tType ).
tff(type_def_26,type,
'B_option_b_fun$': $tType ).
tff(type_def_27,type,
'C_option_c_fun$': $tType ).
tff(type_def_28,type,
'C_option_a_option_bool_fun_fun$': $tType ).
tff(type_def_29,type,
'B_b_b_option_fun_fun$': $tType ).
tff(type_def_30,type,
'C_b_option_fun$': $tType ).
tff(type_def_31,type,
'B$': $tType ).
tff(type_def_32,type,
'C_c_option_fun_b_b_option_fun_fun$': $tType ).
tff(type_def_33,type,
'C_option_b_option_bool_fun_fun$': $tType ).
tff(type_def_34,type,
'A_a_option_fun_b_b_option_fun_fun$': $tType ).
tff(type_def_35,type,
'A_a_sum_a_fun$': $tType ).
tff(type_def_36,type,
'C$': $tType ).
tff(type_def_37,type,
'A_option_b_option_fun$': $tType ).
tff(type_def_38,type,
'B_option_c_option_fun$': $tType ).
tff(type_def_39,type,
'C_b_b_fun_fun$': $tType ).
tff(type_def_40,type,
'C_c_c_option_fun_fun$': $tType ).
tff(type_def_41,type,
'C_b_fun$': $tType ).
tff(type_def_42,type,
'B_b_sum_c_option_fun$': $tType ).
tff(type_def_43,type,
'A_option$': $tType ).
tff(type_def_44,type,
'A_a_option_fun_a_a_option_fun_fun$': $tType ).
tff(type_def_45,type,
'A_option_c_option_bool_fun_fun$': $tType ).
tff(type_def_46,type,
'B_a_fun$': $tType ).
tff(type_def_47,type,
'C_option_b_option_fun$': $tType ).
tff(type_def_48,type,
tlbool: $tType ).
tff(type_def_49,type,
'A_option_a_fun$': $tType ).
tff(type_def_50,type,
'A_a_option_fun$': $tType ).
tff(type_def_51,type,
'A_option_a_option_fun$': $tType ).
tff(type_def_52,type,
'A_bool_fun$': $tType ).
tff(type_def_53,type,
'C_option_a_option_fun$': $tType ).
tff(type_def_54,type,
'A_set$': $tType ).
tff(type_def_55,type,
'B_b_option_fun_c_c_option_fun_fun$': $tType ).
tff(type_def_56,type,
'C_bool_fun$': $tType ).
tff(type_def_57,type,
'A_b_fun$': $tType ).
tff(type_def_58,type,
'B_c_c_fun_fun$': $tType ).
tff(type_def_59,type,
'B_set$': $tType ).
tff(type_def_60,type,
'B_option_a_option_bool_fun_fun$': $tType ).
tff(type_def_61,type,
'Bool_c_option_fun$': $tType ).
tff(type_def_62,type,
'A$': $tType ).
tff(type_def_63,type,
'B_option_option$': $tType ).
tff(type_def_64,type,
'Bool_b_option_fun$': $tType ).
tff(type_def_65,type,
'A_b_b_option_fun_fun$': $tType ).
tff(type_def_66,type,
'A_b_option_fun$': $tType ).
tff(type_def_67,type,
'C_c_sum_c_option_fun$': $tType ).
tff(type_def_68,type,
'Bool_bool_fun$': $tType ).
tff(type_def_69,type,
'B_a_option_fun$': $tType ).
tff(type_def_70,type,
'A_a_a_fun_fun$': $tType ).
tff(type_def_71,type,
'B_b_option_fun_a_a_option_fun_fun$': $tType ).
tff(type_def_72,type,
'C_option_c_option_fun$': $tType ).
tff(type_def_73,type,
'A_a_fun$': $tType ).
tff(type_def_74,type,
'B_b_sum_b_option_fun$': $tType ).
tff(type_def_75,type,
'B_b_b_fun_fun$': $tType ).
tff(type_def_76,type,
'B_b_option_fun$': $tType ).
tff(type_def_77,type,
'C_option_option$': $tType ).
tff(type_def_78,type,
'A_option_b_option_bool_fun_fun$': $tType ).
tff(type_def_79,type,
'C_c_sum_c_fun$': $tType ).
tff(type_def_80,type,
'A_a_sum_b_option_fun$': $tType ).
tff(type_def_81,type,
'A_a_option_fun_a_option_fun$': $tType ).
tff(type_def_82,type,
'C_option_bool_fun$': $tType ).
tff(type_def_83,type,
'A_option_a_option_bool_fun_fun$': $tType ).
tff(type_def_84,type,
'C_c_option_fun_c_option_fun$': $tType ).
tff(type_def_85,type,
'A_b_b_fun_fun$': $tType ).
tff(type_def_86,type,
'C_c_option_fun_c_c_option_fun_fun$': $tType ).
tff(type_def_87,type,
'B_option_bool_fun$': $tType ).
tff(type_def_88,type,
'B_option_a_option_fun$': $tType ).
tff(type_def_89,type,
'B_c_fun$': $tType ).
tff(type_def_90,type,
'C_set$': $tType ).
tff(type_def_91,type,
'B_option_b_option_bool_fun_fun$': $tType ).
tff(type_def_92,type,
'B_bool_fun$': $tType ).
tff(type_def_93,type,
'A_c_option_fun$': $tType ).
tff(type_def_94,type,
'B_option_set$': $tType ).
tff(type_def_95,type,
'B_b_sum_b_fun$': $tType ).
tff(func_def_0,type,
'register_from_getter_setter$d': ( 'C_c_fun$' * 'C_c_c_fun_fun$' ) > 'C_c_option_fun_c_c_option_fun_fun$' ).
tff(func_def_1,type,
'map_option$c': 'C_c_fun$' > 'C_option_c_option_fun$' ).
tff(func_def_2,type,
'fun_app$ab': ( 'C_c_option_fun_c_option_fun$' * 'C_c_option_fun$' ) > 'C_option$' ).
tff(func_def_3,type,
'comp$aw': ( 'B_option_c_option_fun$' * 'C_b_option_fun$' ) > 'C_c_option_fun$' ).
tff(func_def_4,type,
'uuq$': ( 'C_option_bool_fun$' * 'C_c_option_fun$' ) > 'C_bool_fun$' ).
tff(func_def_5,type,
'comp$ax': 'B_option_b_option_fun$' > 'B_b_option_fun_b_b_option_fun_fun$' ).
tff(func_def_6,type,
'fun_app$ao': ( 'B_a_fun$' * 'B$' ) > 'A$' ).
tff(func_def_7,type,
'combine_options$': ( 'A_a_a_fun_fun$' * 'A_option$' ) > 'A_option_a_option_fun$' ).
tff(func_def_8,type,
'comp$ag': ( 'B_b_fun$' * 'C_b_fun$' ) > 'C_b_fun$' ).
tff(func_def_9,type,
'none$a': 'B_option$' ).
tff(func_def_10,type,
'the$': 'B_option_b_fun$' ).
tff(func_def_11,type,
'collect$c': 'C_option_bool_fun$' > 'C_option_set$' ).
tff(func_def_12,type,
'the$c': 'A_bool_fun$' > 'A$' ).
tff(func_def_13,type,
'comp$an': ( 'C_c_option_fun_c_c_option_fun_fun$' * 'B_b_option_fun_c_c_option_fun_fun$' ) > 'B_b_option_fun_c_c_option_fun_fun$' ).
tff(func_def_14,type,
'some$a': 'C_c_option_fun$' ).
tff(func_def_15,type,
'update1$': ( 'A$' * 'A$' ) > 'A_a_option_fun$' ).
tff(func_def_16,type,
'uuv$': ( 'A_b_b_option_fun_fun$' * 'B$' ) > 'A_b_option_fun$' ).
tff(func_def_17,type,
'uvm$': 'B_b_fun$' ).
tff(func_def_18,type,
'comp$s': ( 'B_a_fun$' * 'A_b_fun$' ) > 'A_a_fun$' ).
tff(func_def_19,type,
'bot$e': 'B_bool_fun$' ).
tff(func_def_20,type,
'comp$z': ( 'B_option_c_option_fun$' * 'C_option_b_option_fun$' ) > 'C_option_c_option_fun$' ).
tff(func_def_21,type,
'fun_app$t': ( 'B_b_b_option_fun_fun$' * 'B$' ) > 'B_b_option_fun$' ).
tff(func_def_22,type,
def_1: ( 'C_bool_fun$' * 'C$' ) > tlbool ).
tff(func_def_23,type,
'case_option$l': ( 'B$' * 'B_option_b_fun$' * 'B_option_option$' ) > 'B$' ).
tff(func_def_24,type,
def_7: ( 'Bool_bool_fun$' * tlbool ) > tlbool ).
tff(func_def_25,type,
'bind$b': ( 'B_option$' * 'B_c_option_fun$' ) > 'C_option$' ).
tff(func_def_26,type,
'map_option$e': 'A_b_fun$' > 'A_option_b_option_fun$' ).
tff(func_def_27,type,
'case_option$d': ( 'B_option$' * 'A_b_option_fun$' ) > 'A_option_b_option_fun$' ).
tff(func_def_28,type,
def_4: ( 'C_bool_fun$' * 'C$' ) > tlbool ).
tff(func_def_29,type,
'register_apply$a': ( 'B_b_option_fun_c_c_option_fun_fun$' * 'B_b_fun$' ) > 'C_c_fun$' ).
tff(func_def_30,type,
'fun_app$ba': ( 'A_option_b_option_bool_fun_fun$' * 'A_option$' ) > 'B_option_bool_fun$' ).
tff(func_def_31,type,
'uur$': 'B$' > 'A_b_option_fun$' ).
tff(func_def_32,type,
def_2: ( 'B_bool_fun$' * 'B$' ) > tlbool ).
tff(func_def_33,type,
'uux$': ( 'A_a_a_fun_fun$' * 'A_option$' ) > 'A_a_option_fun$' ).
tff(func_def_34,type,
'comp$t': ( 'C_option_b_option_fun$' * 'C_option_c_option_fun$' ) > 'C_option_b_option_fun$' ).
tff(func_def_35,type,
'map_option$j': ( 'C_option_c_option_fun$' * 'C_option_option$' ) > 'C_option_option$' ).
tff(func_def_36,type,
'fun_app$r': ( 'A_a_fun$' * 'A$' ) > 'A$' ).
tff(func_def_37,type,
'fun_app$bp': ( 'A_a_option_fun_a_option_fun$' * 'A_a_option_fun$' ) > 'A_option$' ).
tff(func_def_38,type,
'fun_upd$b': ( 'B_b_fun$' * 'B$' ) > 'B_b_b_fun_fun$' ).
tff(func_def_39,type,
'comp$be': ( 'A_a_fun$' * 'A_a_fun$' ) > 'A_a_fun$' ).
tff(func_def_40,type,
'uug$': 'B_bool_fun$' ).
tff(func_def_41,type,
'map_option$f': 'A_c_fun$' > 'A_option_c_option_fun$' ).
tff(func_def_42,type,
'comp$aa': ( 'B_c_fun$' * 'C_b_fun$' ) > 'C_c_fun$' ).
tff(func_def_43,type,
'case_option$k': ( 'C$' * 'C_c_fun$' ) > 'C_option_c_fun$' ).
tff(func_def_44,type,
'comp$x': ( 'C_option_b_option_fun$' * 'B_option_c_option_fun$' ) > 'B_option_b_option_fun$' ).
tff(func_def_45,type,
'image$': ( 'C_c_option_fun$' * 'C_set$' ) > 'C_option_set$' ).
tff(func_def_46,type,
'fun_app$ac': ( 'B_b_option_fun_b_option_fun$' * 'B_b_option_fun$' ) > 'B_option$' ).
tff(func_def_47,type,
'register_apply$': ( 'A_a_option_fun_b_b_option_fun_fun$' * 'A_a_fun$' ) > 'B_b_fun$' ).
tff(func_def_48,type,
'bind$d': ( 'A_option$' * 'A_c_option_fun$' ) > 'C_option$' ).
tff(func_def_49,type,
'these$a': 'B_option_set$' > 'B_set$' ).
tff(func_def_50,type,
'g$': 'B_b_option_fun_c_c_option_fun_fun$' ).
tff(func_def_51,type,
'case_sum$': ( 'A_a_fun$' * 'A_a_fun$' ) > 'A_a_sum_a_fun$' ).
tff(func_def_52,type,
'uui$': ( 'B_option_b_option_fun$' * 'A_b_option_fun$' ) > 'A_b_option_fun$' ).
tff(func_def_53,type,
'case_option$i': ( 'A$' * 'A_a_fun$' * 'A_option$' ) > 'A$' ).
tff(func_def_54,type,
'fun_app$d': ( 'C_option_c_option_bool_fun_fun$' * 'C_option$' ) > 'C_option_bool_fun$' ).
tff(func_def_55,type,
'collect$a': 'C_bool_fun$' > 'C_set$' ).
tff(func_def_56,type,
'insert$': ( 'B$' * 'B_set$' ) > 'B_set$' ).
tff(func_def_57,type,
'fun_app$e': ( 'B_option_b_option_bool_fun_fun$' * 'B_option$' ) > 'B_option_bool_fun$' ).
tff(func_def_58,type,
'bind$h': 'A_option$' > 'A_a_option_fun_a_option_fun$' ).
tff(func_def_59,type,
'none$': 'C_option$' ).
tff(func_def_60,type,
'comp$e': ( 'A_a_option_fun$' * 'A_a_fun$' ) > 'A_a_option_fun$' ).
tff(func_def_61,type,
def_12: ( tlbool * 'B_bool_fun$' * 'B_option$' ) > tlbool ).
tff(func_def_62,type,
'fun_app$bn': ( 'C_a_option_fun$' * 'C$' ) > 'A_option$' ).
tff(func_def_63,type,
def_17: ( 'B_bool_fun$' * 'B_option$' ) > tlbool ).
tff(func_def_64,type,
'fun_app$bi': ( 'C_option_a_option_fun$' * 'C_option$' ) > 'A_option$' ).
tff(func_def_65,type,
'uwg$': 'C_option_bool_fun$' ).
tff(func_def_66,type,
'uvs$': 'C_c_fun$' ).
tff(func_def_67,type,
'fun_app$al': ( 'B_option_b_fun$' * 'B_option$' ) > 'B$' ).
tff(func_def_68,type,
'top$a': 'C_set$' ).
tff(func_def_69,type,
'uvh$': 'A_b_fun$' > 'A_b_option_fun$' ).
tff(func_def_70,type,
'bot$a': 'B_option_set$' ).
tff(func_def_71,type,
'comp$al': ( 'B_b_option_fun_b_b_option_fun_fun$' * 'A_a_option_fun_b_b_option_fun_fun$' ) > 'A_a_option_fun_b_b_option_fun_fun$' ).
tff(func_def_72,type,
'comp$bl': ( 'B_option_b_fun$' * 'B_b_sum_b_option_fun$' ) > 'B_b_sum_b_fun$' ).
tff(func_def_73,type,
'set_option$a': 'C_option_option$' > 'C_option_set$' ).
tff(func_def_74,type,
'uvy$': ( 'C_b_option_fun$' * 'B_c_option_fun$' ) > 'C_c_option_fun$' ).
tff(func_def_75,type,
'case_option$m': ( 'C$' * 'C_option_c_fun$' * 'C_option_option$' ) > 'C$' ).
tff(func_def_76,type,
'fun_app$f': ( 'A_b_option_fun$' * 'A$' ) > 'B_option$' ).
tff(func_def_77,type,
'map_option$': 'C_b_fun$' > 'C_option_b_option_fun$' ).
tff(func_def_78,type,
'comp$h': ( 'B_bool_fun$' * 'A_b_fun$' ) > 'A_bool_fun$' ).
tff(func_def_79,type,
'fun_app$bj': ( 'B_option_a_option_fun$' * 'B_option$' ) > 'A_option$' ).
tff(func_def_80,type,
'case_sum$e': ( 'C_c_option_fun$' * 'C_c_option_fun$' ) > 'C_c_sum_c_option_fun$' ).
tff(func_def_81,type,
def_14: ( 'B_option_bool_fun$' * 'B_option$' ) > tlbool ).
tff(func_def_82,type,
'fun_app$ar': ( 'A_a_option_fun_c_c_option_fun_fun$' * 'A_a_option_fun$' ) > 'C_c_option_fun$' ).
tff(func_def_83,type,
def_19: ( 'C_bool_fun$' * 'C_option$' ) > tlbool ).
tff(func_def_84,type,
'fun_app$v': ( 'C_c_c_option_fun_fun$' * 'C$' ) > 'C_c_option_fun$' ).
tff(func_def_85,type,
def_10: ( 'C_option_bool_fun$' * 'C_option$' ) > tlbool ).
tff(func_def_86,type,
'comp$ba': ( 'A_option_b_option_fun$' * 'C_a_option_fun$' ) > 'C_b_option_fun$' ).
tff(func_def_87,type,
'id$b': 'B_b_fun$' ).
tff(func_def_88,type,
'id$g': 'C_c_option_fun_c_c_option_fun_fun$' ).
tff(func_def_89,type,
'map_option$d': 'B_c_fun$' > 'B_option_c_option_fun$' ).
tff(func_def_90,type,
'comp$p': ( 'C_option_c_option_fun$' * 'B_option_c_option_fun$' ) > 'B_option_c_option_fun$' ).
tff(func_def_91,type,
'fun_app$bo': ( 'B_a_option_fun$' * 'B$' ) > 'A_option$' ).
tff(func_def_92,type,
def_8: ( tlbool * 'C_bool_fun$' * 'C_option$' ) > tlbool ).
tff(func_def_93,type,
'fun_app$an': ( 'B_option_c_option_fun$' * 'B_option$' ) > 'C_option$' ).
tff(func_def_94,type,
'uua$': ( 'A_b_b_fun_fun$' * 'B$' ) > 'A_b_option_fun$' ).
tff(func_def_95,type,
'comp$bh': ( 'B_option_b_fun$' * 'B_option_b_option_fun$' ) > 'B_option_b_fun$' ).
tff(func_def_96,type,
'id$c': 'C_option_c_option_fun$' ).
tff(func_def_97,type,
'comp$r': ( 'B_option_a_option_fun$' * 'A_option_b_option_fun$' ) > 'A_option_a_option_fun$' ).
tff(func_def_98,type,
'fun_app$bk': ( 'A_c_fun$' * 'A$' ) > 'C$' ).
tff(func_def_99,type,
'uub$': 'A_bool_fun$' ).
tff(func_def_100,type,
'some$c': 'B_option$' > 'B_option_option$' ).
tff(func_def_101,type,
'bind$e': ( 'A_option$' * 'A_b_option_fun$' ) > 'B_option$' ).
tff(func_def_102,type,
'bot$d': 'B_set$' ).
tff(func_def_103,type,
'fun_app$aj': ( 'A_a_a_fun_fun$' * 'A$' ) > 'A_a_fun$' ).
tff(func_def_104,type,
'comp$a': ( 'B_b_option_fun$' * 'C_b_fun$' ) > 'C_b_option_fun$' ).
tff(func_def_105,type,
'uwq$': 'C$' > 'C_bool_fun$' ).
tff(func_def_106,type,
'uud$': 'B_bool_fun$' ).
tff(func_def_107,type,
'fun_app$bc': ( 'C_option_b_option_bool_fun_fun$' * 'C_option$' ) > 'B_option_bool_fun$' ).
tff(func_def_108,type,
'comp$bd': ( 'C_c_fun$' * 'C_option_c_fun$' ) > 'C_option_c_fun$' ).
tff(func_def_109,type,
'uwd$': 'B_b_option_fun$' ).
tff(func_def_110,type,
'uvk$': 'B_option_set$' > 'B_option_bool_fun$' ).
tff(func_def_111,type,
'uwj$': 'B$' > 'B_option_b_fun$' ).
tff(func_def_112,type,
'uvr$': ( 'B_b_option_fun_c_c_option_fun_fun$' * 'C$' ) > 'B_bool_fun$' ).
tff(func_def_113,type,
'fun_app$i': ( 'A_b_b_fun_fun$' * 'A$' ) > 'B_b_fun$' ).
tff(func_def_114,type,
'fun_upd$d': ( 'B_b_option_fun$' * 'B$' * 'B_option$' ) > 'B_b_option_fun$' ).
tff(func_def_115,type,
'uus$': 'B_b_b_option_fun_fun$' > 'B_b_b_option_fun_fun$' ).
tff(func_def_116,type,
'fun_app$p': ( 'A_b_fun$' * 'A$' ) > 'B$' ).
tff(func_def_117,type,
'comp$bc': ( 'C_c_fun$' * 'C_c_fun$' ) > 'C_c_fun$' ).
tff(func_def_118,type,
'top$': 'C_option_set$' ).
tff(func_def_119,type,
'comp$l': ( 'C_bool_fun$' * 'C_c_fun$' ) > 'C_bool_fun$' ).
tff(func_def_120,type,
'case_option$h': ( 'B_option$' * 'C_b_option_fun$' * 'C_option$' ) > 'B_option$' ).
tff(func_def_121,type,
'set_option$c': 'C_option$' > 'C_set$' ).
tff(func_def_122,type,
'some$': 'B_b_option_fun$' ).
tff(func_def_123,type,
'fun_app$bd': ( 'B_option_c_option_bool_fun_fun$' * 'B_option$' ) > 'C_option_bool_fun$' ).
tff(func_def_124,type,
'uvg$': 'B_c_fun$' > 'B_c_option_fun$' ).
tff(func_def_125,type,
'uvt$': 'B_b_option_fun$' > 'B_b_option_fun_b_b_option_fun_fun$' ).
tff(func_def_126,type,
'collect$': 'B_bool_fun$' > 'B_set$' ).
tff(func_def_127,type,
'these$': 'C_option_set$' > 'C_set$' ).
tff(func_def_128,type,
'comp$n': ( 'C_option_c_fun$' * 'C_c_option_fun$' ) > 'C_c_fun$' ).
tff(func_def_129,type,
def_23: ( 'C_bool_fun$' * 'C_option$' ) > tlbool ).
tff(func_def_130,type,
'none$b': 'A_option$' ).
tff(func_def_131,type,
'the$a': 'C_option_c_fun$' ).
tff(func_def_132,type,
'fun_app$u': ( 'C_option_c_option_fun$' * 'C_option$' ) > 'C_option$' ).
tff(func_def_133,type,
'bot$': 'A_set$' ).
tff(func_def_134,type,
'comp$w': ( 'C_b_fun$' * 'A_c_fun$' ) > 'A_b_fun$' ).
tff(func_def_135,type,
def_9: ( 'Bool_bool_fun$' * tlbool ) > tlbool ).
tff(func_def_136,type,
'fun_app$ak': ( 'C_option_c_fun$' * 'C_option$' ) > 'C$' ).
tff(func_def_137,type,
'id$d': 'B_option_b_option_fun$' ).
tff(func_def_138,type,
'map_option$g': 'C_a_fun$' > 'C_option_a_option_fun$' ).
tff(func_def_139,type,
'map_option$l': ( 'C_c_option_fun$' * 'C_option$' ) > 'C_option_option$' ).
tff(func_def_140,type,
'uut$': 'C_c_c_option_fun_fun$' > 'C_c_c_option_fun_fun$' ).
tff(func_def_141,type,
'uvq$': ( 'A_a_option_fun_b_b_option_fun_fun$' * 'B$' ) > 'A_bool_fun$' ).
tff(func_def_142,type,
'fun_upd$': ( 'A_a_fun$' * 'A$' ) > 'A_a_a_fun_fun$' ).
tff(func_def_143,type,
'f$': 'A_a_option_fun_b_b_option_fun_fun$' ).
tff(func_def_144,type,
'combine_options$a': ( 'C_c_c_fun_fun$' * 'C_option$' ) > 'C_option_c_option_fun$' ).
tff(func_def_145,type,
'update1$a': 'C$' > 'C_c_c_option_fun_fun$' ).
tff(func_def_146,type,
'fun_app$at': ( 'C_c_option_fun_b_b_option_fun_fun$' * 'C_c_option_fun$' ) > 'B_b_option_fun$' ).
tff(func_def_147,type,
tltrue: tlbool ).
tff(func_def_148,type,
'register_from_getter_setter$b': ( 'B_b_fun$' * 'B_b_b_fun_fun$' ) > 'B_b_option_fun_b_b_option_fun_fun$' ).
tff(func_def_149,type,
def_11: ( tlbool * 'B_bool_fun$' * 'B_option$' ) > tlbool ).
tff(func_def_150,type,
'comp$ab': ( 'B_option_c_option_fun$' * 'B_option_b_option_fun$' ) > 'B_option_c_option_fun$' ).
tff(func_def_151,type,
'case_option$b': ( 'A_option$' * 'A_a_option_fun$' * 'A_option$' ) > 'A_option$' ).
tff(func_def_152,type,
'uuz$': ( 'C_c_c_fun_fun$' * 'C_option$' ) > 'C_c_option_fun$' ).
tff(func_def_153,type,
'top$c': 'B_set$' ).
tff(func_def_154,type,
'comp$ad': ( 'B_option_c_option_fun$' * 'A_option_b_option_fun$' ) > 'A_option_c_option_fun$' ).
tff(func_def_155,type,
'case_sum$c': ( 'B_c_option_fun$' * 'B_c_option_fun$' ) > 'B_b_sum_c_option_fun$' ).
tff(func_def_156,type,
'uun$': ( 'Bool_b_option_fun$' * 'B_bool_fun$' ) > 'B_b_option_fun$' ).
tff(func_def_157,type,
'set_option$b': 'A_option$' > 'A_set$' ).
tff(func_def_158,type,
'uvz$': ( 'B_c_option_fun$' * 'C_c_option_fun$' ) > 'B_c_option_fun$' ).
tff(func_def_159,type,
'getter$a': 'A_a_option_fun_b_b_option_fun_fun$' > 'B_a_fun$' ).
tff(func_def_160,type,
'fun_app$bm': ( 'A_c_option_fun$' * 'A$' ) > 'C_option$' ).
tff(func_def_161,type,
'uuc$': 'C_bool_fun$' ).
tff(func_def_162,type,
'the$e': 'B_option_option$' > 'B_option$' ).
tff(func_def_163,type,
'uuw$': ( 'A_a_a_fun_fun$' * 'A$' ) > 'A_a_option_fun$' ).
tff(func_def_164,type,
'comp$ae': ( 'B_c_fun$' * 'A_b_fun$' ) > 'A_c_fun$' ).
tff(func_def_165,type,
'fun_app$aq': ( 'B_b_option_fun_a_a_option_fun_fun$' * 'B_b_option_fun$' ) > 'A_a_option_fun$' ).
tff(func_def_166,type,
'set_option$d': 'B_option$' > 'B_set$' ).
tff(func_def_167,type,
'comp$j': ( 'B_bool_fun$' * 'C_b_fun$' ) > 'C_bool_fun$' ).
tff(func_def_168,type,
def_5: ( 'B_bool_fun$' * 'B$' ) > tlbool ).
tff(func_def_169,type,
'uvo$': 'A_a_a_fun_fun$' ).
tff(func_def_170,type,
'fun_app$ad': ( 'B_b_option_fun_b_b_option_fun_fun$' * 'B_b_option_fun$' ) > 'B_b_option_fun$' ).
tff(func_def_171,type,
'bind$g': ( 'B_option$' * 'B_a_option_fun$' ) > 'A_option$' ).
tff(func_def_172,type,
'map_option$b': 'B_b_fun$' > 'B_option_b_option_fun$' ).
tff(func_def_173,type,
'uwc$': 'C_c_option_fun$' ).
tff(func_def_174,type,
'uws$': 'C_option_c_option_bool_fun_fun$' ).
tff(func_def_175,type,
'id$': 'A_a_fun$' ).
tff(func_def_176,type,
'insert$a': ( 'C$' * 'C_set$' ) > 'C_set$' ).
tff(func_def_177,type,
def_13: ( tlbool * 'C_bool_fun$' * 'C_option$' ) > tlbool ).
tff(func_def_178,type,
'fun_app$ax': ( 'C_option_a_option_bool_fun_fun$' * 'C_option$' ) > 'A_option_bool_fun$' ).
tff(func_def_179,type,
'comp$at': ( 'C_option_b_option_fun$' * 'B_c_option_fun$' ) > 'B_b_option_fun$' ).
tff(func_def_180,type,
'fun_app$af': ( 'Bool_b_option_fun$' * tlbool ) > 'B_option$' ).
tff(func_def_181,type,
'uvi$': 'B_set$' > 'B_bool_fun$' ).
tff(func_def_182,type,
def_21: ( 'B_bool_fun$' * 'B_option$' ) > tlbool ).
tff(func_def_183,type,
'uvd$': 'A_a_fun$' > 'A_a_option_fun$' ).
tff(func_def_184,type,
'undefined$a': 'B$' ).
tff(func_def_185,type,
'uuy$': 'C_c_c_fun_fun$' > 'C_c_c_option_fun_fun$' ).
tff(func_def_186,type,
'comp$bf': ( 'B_option_b_option_fun$' * 'A_b_option_fun$' ) > 'A_b_option_fun$' ).
tff(func_def_187,type,
'uvu$': ( 'C_b_option_fun$' * 'B_b_option_fun$' ) > 'C_b_option_fun$' ).
tff(func_def_188,type,
'comp$ac': ( 'B_c_fun$' * 'B_b_fun$' ) > 'B_c_fun$' ).
tff(func_def_189,type,
'bot$c': 'C_set$' ).
tff(func_def_190,type,
'case_option$a': ( 'C_option$' * 'C_c_option_fun$' ) > 'C_option_c_option_fun$' ).
tff(func_def_191,type,
'id$e': 'A_option_a_option_fun$' ).
tff(func_def_192,type,
'comp$af': ( 'B_option_b_option_fun$' * 'C_option_b_option_fun$' ) > 'C_option_b_option_fun$' ).
tff(func_def_193,type,
'top$b': 'B_option_set$' ).
tff(func_def_194,type,
'comp$y': ( 'C_b_fun$' * 'B_c_fun$' ) > 'B_b_fun$' ).
tff(func_def_195,type,
'insert$c': ( 'C_option$' * 'C_option_set$' ) > 'C_option_set$' ).
tff(func_def_196,type,
'uwe$': 'C_b_option_fun$' ).
tff(func_def_197,type,
'bind$f': ( 'C_option$' * 'C_a_option_fun$' ) > 'A_option$' ).
tff(func_def_198,type,
'update1$b': 'B$' > 'B_b_b_option_fun_fun$' ).
tff(func_def_199,type,
'uwo$': 'C_option_c_option_bool_fun_fun$' ).
tff(func_def_200,type,
'comp$bi': ( 'A_option_a_fun$' * 'A_a_option_fun$' ) > 'A_a_fun$' ).
tff(func_def_201,type,
'fun_app$ap': ( 'C_c_option_fun_a_a_option_fun_fun$' * 'C_c_option_fun$' ) > 'A_a_option_fun$' ).
tff(func_def_202,type,
'some$d': 'C_option$' > 'C_option_option$' ).
tff(func_def_203,type,
'uvl$': 'C_option_set$' > 'C_option_bool_fun$' ).
tff(func_def_204,type,
'uvj$': 'C_set$' > 'C_bool_fun$' ).
tff(func_def_205,type,
'case_option$e': ( tlbool * 'B_bool_fun$' ) > 'B_option_bool_fun$' ).
tff(func_def_206,type,
'bot$b': 'C_option_set$' ).
tff(func_def_207,type,
'case_option$f': ( tlbool * 'C_bool_fun$' ) > 'C_option_bool_fun$' ).
tff(func_def_208,type,
'comp$b': ( 'C_c_option_fun$' * 'B_c_fun$' ) > 'B_c_option_fun$' ).
tff(func_def_209,type,
'fun_app$bf': ( 'A_option_a_fun$' * 'A_option$' ) > 'A$' ).
tff(func_def_210,type,
'uwh$': 'B_option$' > 'A_b_option_fun$' ).
tff(func_def_211,type,
'case_option$j': ( 'B$' * 'B_b_fun$' ) > 'B_option_b_fun$' ).
tff(func_def_212,type,
'fun_app$k': ( 'C_c_fun$' * 'C$' ) > 'C$' ).
tff(func_def_213,type,
'fun_app$bb': ( 'A_option_a_option_bool_fun_fun$' * 'A_option$' ) > 'A_option_bool_fun$' ).
tff(func_def_214,type,
'comp$c': ( 'B_b_option_fun$' * 'B_b_fun$' ) > 'B_b_option_fun$' ).
tff(func_def_215,type,
'uul$': ( 'C_option_bool_fun$' * 'B_c_option_fun$' ) > 'B_bool_fun$' ).
tff(func_def_216,type,
'fun_app$n': ( 'B_c_option_fun$' * 'B$' ) > 'C_option$' ).
tff(func_def_217,type,
'fun_app$am': ( 'B_b_option_fun_c_c_option_fun_fun$' * 'B_b_option_fun$' ) > 'C_c_option_fun$' ).
tff(func_def_218,type,
'fun_app$ae': ( 'Bool_c_option_fun$' * tlbool ) > 'C_option$' ).
tff(func_def_219,type,
'comp$ap': ( 'B_c_option_fun$' * 'C_b_fun$' ) > 'C_c_option_fun$' ).
tff(func_def_220,type,
'uvp$': 'B_b_b_fun_fun$' ).
tff(func_def_221,type,
'uuh$': ( 'C_option_c_option_fun$' * 'B_c_option_fun$' ) > 'B_c_option_fun$' ).
tff(func_def_222,type,
'uvb$': ( 'B_b_b_fun_fun$' * 'B_option$' ) > 'B_b_option_fun$' ).
tff(func_def_223,type,
'uuk$': ( 'Bool_bool_fun$' * 'C_bool_fun$' ) > 'C_bool_fun$' ).
tff(func_def_224,type,
'uvf$': 'C_c_fun$' > 'C_c_option_fun$' ).
tff(func_def_225,type,
'comp$q': ( 'C_c_fun$' * 'B_c_fun$' ) > 'B_c_fun$' ).
tff(func_def_226,type,
'case_option$g': ( tlbool * 'A_bool_fun$' ) > 'A_option_bool_fun$' ).
tff(func_def_227,type,
'comp$o': ( 'C_b_option_fun$' * 'B_c_fun$' ) > 'B_b_option_fun$' ).
tff(func_def_228,type,
'uuf$': 'C_bool_fun$' ).
tff(func_def_229,type,
'comp$bk': ( 'B_c_option_fun$' * 'B_b_sum_b_fun$' ) > 'B_b_sum_c_option_fun$' ).
tff(func_def_230,type,
'the$d': 'B_bool_fun$' > 'B$' ).
tff(func_def_231,type,
'uuj$': ( 'Bool_bool_fun$' * 'B_bool_fun$' ) > 'B_bool_fun$' ).
tff(func_def_232,type,
'set_option$': 'B_option_option$' > 'B_option_set$' ).
tff(func_def_233,type,
'map_option$h': 'B_a_fun$' > 'B_option_a_option_fun$' ).
tff(func_def_234,type,
'comp$aj': ( 'A_a_option_fun_b_b_option_fun_fun$' * 'A_a_option_fun_a_a_option_fun_fun$' ) > 'A_a_option_fun_b_b_option_fun_fun$' ).
tff(func_def_235,type,
'fun_app$bl': ( 'C_a_fun$' * 'C$' ) > 'A$' ).
tff(func_def_236,type,
'fun_app$s': ( 'B_option_b_option_fun$' * 'B_option$' ) > 'B_option$' ).
tff(func_def_237,type,
'setter$a': 'A_a_option_fun_b_b_option_fun_fun$' > 'A_b_b_fun_fun$' ).
tff(func_def_238,type,
'comp$u': ( 'C_b_fun$' * 'C_c_fun$' ) > 'C_b_fun$' ).
tff(func_def_239,type,
'comp$d': ( 'B_b_option_fun$' * 'A_b_fun$' ) > 'A_b_option_fun$' ).
tff(func_def_240,type,
'fun_app$h': ( 'B_b_fun$' * 'B$' ) > 'B$' ).
tff(func_def_241,type,
def_6: ( tlbool * 'B_bool_fun$' * 'B_option$' ) > tlbool ).
tff(func_def_242,type,
'insert$b': ( 'B_option$' * 'B_option_set$' ) > 'B_option_set$' ).
tff(func_def_243,type,
'bind$c': 'B_option$' > 'B_b_option_fun_b_option_fun$' ).
tff(func_def_244,type,
'fun_app$ah': ( 'C_c_c_fun_fun$' * 'C$' ) > 'C_c_fun$' ).
tff(func_def_245,type,
'comp$': ( 'C_c_option_fun$' * 'C_c_fun$' ) > 'C_c_option_fun$' ).
tff(func_def_246,type,
'comp$av': ( 'B_option_c_option_fun$' * 'B_b_option_fun$' ) > 'B_c_option_fun$' ).
tff(func_def_247,type,
'uwp$': 'B$' > 'B_bool_fun$' ).
tff(func_def_248,type,
'id$f': 'B_b_option_fun_b_b_option_fun_fun$' ).
tff(func_def_249,type,
'uvx$': ( 'B_b_option_fun$' * 'B_c_option_fun$' ) > 'B_c_option_fun$' ).
tff(func_def_250,type,
'fun_app$as': ( 'A_a_option_fun_a_a_option_fun_fun$' * 'A_a_option_fun$' ) > 'A_a_option_fun$' ).
tff(func_def_251,type,
'fun_app$bh': ( 'A_option_c_option_fun$' * 'A_option$' ) > 'C_option$' ).
tff(func_def_252,type,
'uwf$': 'B_option_bool_fun$' ).
tff(func_def_253,type,
'uwr$': 'B_option_b_option_bool_fun_fun$' ).
tff(func_def_254,type,
'uvv$': ( 'B_c_option_fun$' * 'C_b_option_fun$' ) > 'B_b_option_fun$' ).
tff(func_def_255,type,
'fun_upd$c': ( 'B_c_option_fun$' * 'B$' * 'C_option$' ) > 'B_c_option_fun$' ).
tff(func_def_256,type,
'bind$a': ( 'C_option$' * 'C_b_option_fun$' ) > 'B_option$' ).
tff(func_def_257,type,
'getter$': 'B_b_option_fun_c_c_option_fun_fun$' > 'C_b_fun$' ).
tff(func_def_258,type,
'fun_app$ay': ( 'B_option_a_option_bool_fun_fun$' * 'B_option$' ) > 'A_option_bool_fun$' ).
tff(func_def_259,type,
'case_option$c': ( 'C_option$' * 'B_c_option_fun$' ) > 'B_option_c_option_fun$' ).
tff(func_def_260,type,
'uvw$': ( 'C_c_option_fun$' * 'C_b_option_fun$' ) > 'C_b_option_fun$' ).
tff(func_def_261,type,
def_16: ( tlbool * 'B_bool_fun$' * 'B_option$' ) > tlbool ).
tff(func_def_262,type,
'case_option$': ( 'B_option$' * 'B_b_option_fun$' ) > 'B_option_b_option_fun$' ).
tff(func_def_263,type,
'comp$m': ( 'B_option_b_fun$' * 'B_b_option_fun$' ) > 'B_b_fun$' ).
tff(func_def_264,type,
tlfalse: tlbool ).
tff(func_def_265,type,
def_20: ( tlbool * 'B_bool_fun$' * 'B_option$' ) > tlbool ).
tff(func_def_266,type,
'comp$as': 'C_option_c_option_fun$' > 'C_c_option_fun_c_c_option_fun_fun$' ).
tff(func_def_267,type,
'is_none$': 'B_option_bool_fun$' ).
tff(func_def_268,type,
'collect$b': 'B_option_bool_fun$' > 'B_option_set$' ).
tff(func_def_269,type,
'comp$ar': ( 'C_option_c_option_fun$' * 'B_c_option_fun$' ) > 'B_c_option_fun$' ).
tff(func_def_270,type,
'uvn$': 'A_a_fun$' ).
tff(func_def_271,type,
'bot$h': 'C_option_bool_fun$' ).
tff(func_def_272,type,
'uwn$': 'B_option_b_option_bool_fun_fun$' ).
tff(func_def_273,type,
'fun_app$bg': ( 'C_option_b_option_fun$' * 'C_option$' ) > 'B_option$' ).
tff(func_def_274,type,
def_3: ( 'B_bool_fun$' * 'B$' ) > tlbool ).
tff(func_def_275,type,
def_22: ( tlbool * 'C_bool_fun$' * 'C_option$' ) > tlbool ).
tff(func_def_276,type,
'uum$': ( 'Bool_c_option_fun$' * 'B_bool_fun$' ) > 'B_c_option_fun$' ).
tff(func_def_277,type,
'uwl$': 'B$' > 'B_bool_fun$' ).
tff(func_def_278,type,
'comp$ai': ( 'B_b_fun$' * 'B_b_fun$' ) > 'B_b_fun$' ).
tff(func_def_279,type,
'map_option$k': ( 'B_b_option_fun$' * 'B_option$' ) > 'B_option_option$' ).
tff(func_def_280,type,
'none$d': 'C_option_option$' ).
tff(func_def_281,type,
'comp$bb': ( 'B_b_fun$' * 'B_option_b_fun$' ) > 'B_option_b_fun$' ).
tff(func_def_282,type,
'comp$az': ( 'A_option_b_option_fun$' * 'B_a_option_fun$' ) > 'B_b_option_fun$' ).
tff(func_def_283,type,
'register_from_getter_setter$a': ( 'C_b_fun$' * 'B_c_c_fun_fun$' ) > 'B_b_option_fun_c_c_option_fun_fun$' ).
tff(func_def_284,type,
'uva$': 'B_b_b_fun_fun$' > 'B_b_b_option_fun_fun$' ).
tff(func_def_285,type,
'fun_upd$f': ( 'C_c_fun$' * 'C$' ) > 'C_c_c_fun_fun$' ).
tff(func_def_286,type,
'bind$': 'C_option$' > 'C_c_option_fun_c_option_fun$' ).
tff(func_def_287,type,
'case_sum$f': ( 'C_c_fun$' * 'C_c_fun$' ) > 'C_c_sum_c_fun$' ).
tff(func_def_288,type,
'setter$': 'B_b_option_fun_c_c_option_fun_fun$' > 'B_c_c_fun_fun$' ).
tff(func_def_289,type,
'uwi$': 'C_option$' > 'B_c_option_fun$' ).
tff(func_def_290,type,
'the$b': 'A_option_a_fun$' ).
tff(func_def_291,type,
'fun_app$au': ( 'A_a_option_fun_b_b_option_fun_fun$' * 'A_a_option_fun$' ) > 'B_b_option_fun$' ).
tff(func_def_292,type,
'fun_app$y': ( 'B_c_c_fun_fun$' * 'B$' ) > 'C_c_fun$' ).
tff(func_def_293,type,
'undefined$b': 'C$' ).
tff(func_def_294,type,
'uvc$': 'C_b_fun$' > 'C_b_option_fun$' ).
tff(func_def_295,type,
'comp$bm': ( 'C_option_c_fun$' * 'C_c_sum_c_option_fun$' ) > 'C_c_sum_c_fun$' ).
tff(func_def_296,type,
'is_none$b': 'A_option_bool_fun$' ).
tff(func_def_297,type,
'id$a': 'C_c_fun$' ).
tff(func_def_298,type,
'image$a': ( 'B_b_option_fun$' * 'B_set$' ) > 'B_option_set$' ).
tff(func_def_299,type,
'fun_app$m': ( 'C_b_fun$' * 'C$' ) > 'B$' ).
tff(func_def_300,type,
'uve$': 'B_b_fun$' > 'B_b_option_fun$' ).
tff(func_def_301,type,
'fun_app$ai': ( 'B_b_b_fun_fun$' * 'B$' ) > 'B_b_fun$' ).
tff(func_def_302,type,
'register_from_getter_setter$': ( 'B_a_fun$' * 'A_b_b_fun_fun$' ) > 'A_a_option_fun_b_b_option_fun_fun$' ).
tff(func_def_303,type,
'map_option$a': 'A_a_fun$' > 'A_option_a_option_fun$' ).
tff(func_def_304,type,
'uup$': ( 'B_option_bool_fun$' * 'B_b_option_fun$' ) > 'B_bool_fun$' ).
tff(func_def_305,type,
'fun_app$aa': ( 'C_c_option_fun_c_c_option_fun_fun$' * 'C_c_option_fun$' ) > 'C_c_option_fun$' ).
tff(func_def_306,type,
'uwk$': 'C$' > 'C_option_c_fun$' ).
tff(func_def_307,type,
'some$b': 'A_a_option_fun$' ).
tff(func_def_308,type,
'fun_app$l': ( 'C_b_option_fun$' * 'C$' ) > 'B_option$' ).
tff(func_def_309,type,
'uuu$': ( 'B_c_c_option_fun_fun$' * 'C$' ) > 'B_c_option_fun$' ).
tff(func_def_310,type,
'comp$bg': ( 'B_c_option_fun$' * 'B_option_b_fun$' ) > 'B_option_c_option_fun$' ).
tff(func_def_311,type,
'comp$ah': ( 'B_option_b_option_fun$' * 'B_option_b_option_fun$' ) > 'B_option_b_option_fun$' ).
tff(func_def_312,type,
'case_sum$a': ( 'A_b_option_fun$' * 'A_b_option_fun$' ) > 'A_a_sum_b_option_fun$' ).
tff(func_def_313,type,
'comp$ay': ( 'B_option_b_option_fun$' * 'C_b_option_fun$' ) > 'C_b_option_fun$' ).
tff(func_def_314,type,
'comp$v': ( 'C_option_b_option_fun$' * 'A_option_c_option_fun$' ) > 'A_option_b_option_fun$' ).
tff(func_def_315,type,
'case_sum$d': ( 'B_b_option_fun$' * 'B_b_option_fun$' ) > 'B_b_sum_b_option_fun$' ).
tff(func_def_316,type,
'comp$ak': ( 'B_b_option_fun_c_c_option_fun_fun$' * 'B_b_option_fun_b_b_option_fun_fun$' ) > 'B_b_option_fun_c_c_option_fun_fun$' ).
tff(func_def_317,type,
'bot$f': 'C_bool_fun$' ).
tff(func_def_318,type,
'comp$bj': ( 'A_b_option_fun$' * 'A_a_sum_a_fun$' ) > 'A_a_sum_b_option_fun$' ).
tff(func_def_319,type,
'the$f': 'C_option_option$' > 'C_option$' ).
tff(func_def_320,type,
'fun_upd$a': ( 'A_b_option_fun$' * 'A$' * 'B_option$' ) > 'A_b_option_fun$' ).
tff(func_def_321,type,
'is_none$a': 'C_option_bool_fun$' ).
tff(func_def_322,type,
'uu$': ( 'B_c_c_fun_fun$' * 'C$' ) > 'B_c_option_fun$' ).
tff(func_def_323,type,
'fun_app$av': ( 'A_option_b_option_fun$' * 'A_option$' ) > 'B_option$' ).
tff(func_def_324,type,
'comp$aq': ( 'B_c_option_fun$' * 'A_b_fun$' ) > 'A_c_option_fun$' ).
tff(func_def_325,type,
'fun_app$az': ( 'A_option_c_option_bool_fun_fun$' * 'A_option$' ) > 'C_option_bool_fun$' ).
tff(func_def_326,type,
'comp$am': ( 'B_b_option_fun_c_c_option_fun_fun$' * 'A_a_option_fun_b_b_option_fun_fun$' ) > 'A_a_option_fun_c_c_option_fun_fun$' ).
tff(func_def_327,type,
'undefined$': 'A$' ).
tff(func_def_328,type,
'fun_app$w': ( 'B_c_c_option_fun_fun$' * 'B$' ) > 'C_c_option_fun$' ).
tff(func_def_329,type,
'uwa$': 'C_c_option_fun$' > 'C_c_option_fun_c_c_option_fun_fun$' ).
tff(func_def_330,type,
'sF$': 'A_b_b_fun_fun$' ).
tff(func_def_331,type,
'map_option$i': ( 'B_option_b_option_fun$' * 'B_option_option$' ) > 'B_option_option$' ).
tff(func_def_332,type,
'fun_app$j': ( 'C_c_option_fun$' * 'C$' ) > 'C_option$' ).
tff(func_def_333,type,
'uue$': 'A_bool_fun$' ).
tff(func_def_334,type,
'fun_app$be': ( 'A_option_a_option_fun$' * 'A_option$' ) > 'A_option$' ).
tff(func_def_335,type,
'combine_options$b': ( 'B_b_b_fun_fun$' * 'B_option$' ) > 'B_option_b_option_fun$' ).
tff(func_def_336,type,
'none$c': 'B_option_option$' ).
tff(func_def_337,type,
'comp$f': ( 'B_c_option_fun$' * 'B_b_fun$' ) > 'B_c_option_fun$' ).
tff(func_def_338,type,
'comp$au': ( 'C_option_b_option_fun$' * 'C_c_option_fun$' ) > 'C_b_option_fun$' ).
tff(func_def_339,type,
'comp$k': ( 'C_bool_fun$' * 'B_c_fun$' ) > 'B_bool_fun$' ).
tff(func_def_340,type,
'case_sum$b': ( 'B_b_fun$' * 'B_b_fun$' ) > 'B_b_sum_b_fun$' ).
tff(func_def_341,type,
'fun_upd$e': ( 'C_c_option_fun$' * 'C$' * 'C_option$' ) > 'C_c_option_fun$' ).
tff(func_def_342,type,
'gF$': 'B_a_fun$' ).
tff(func_def_343,type,
'fun_app$g': ( 'B_b_option_fun$' * 'B$' ) > 'B_option$' ).
tff(func_def_344,type,
'fun_app$o': ( 'B_c_fun$' * 'B$' ) > 'C$' ).
tff(func_def_345,type,
'bot$g': 'B_option_bool_fun$' ).
tff(func_def_346,type,
'uwb$': 'B_c_option_fun$' ).
tff(func_def_347,type,
'fun_app$x': ( 'A_b_b_option_fun_fun$' * 'A$' ) > 'B_b_option_fun$' ).
tff(func_def_348,type,
'register_from_getter_setter$c': ( 'B_c_fun$' * 'C_b_b_fun_fun$' ) > 'C_c_option_fun_b_b_option_fun_fun$' ).
tff(func_def_349,type,
'comp$g': ( 'A_b_option_fun$' * 'A_a_fun$' ) > 'A_b_option_fun$' ).
tff(func_def_350,type,
'fun_app$q': ( 'A_a_option_fun$' * 'A$' ) > 'A_option$' ).
tff(func_def_351,type,
def_18: ( tlbool * 'C_bool_fun$' * 'C_option$' ) > tlbool ).
tff(func_def_352,type,
'comp$i': ( 'B_bool_fun$' * 'B_b_fun$' ) > 'B_bool_fun$' ).
tff(func_def_353,type,
'comp$ao': ( 'C_b_option_fun$' * 'C_c_fun$' ) > 'C_b_option_fun$' ).
tff(func_def_354,type,
'uuo$': ( 'Bool_c_option_fun$' * 'C_bool_fun$' ) > 'C_c_option_fun$' ).
tff(func_def_355,type,
def_15: ( 'C_option_bool_fun$' * 'C_option$' ) > tlbool ).
tff(func_def_356,type,
'uwm$': 'C$' > 'C_bool_fun$' ).
tff(func_def_357,type,
sK0: ( 'B_c_c_fun_fun$' * 'C_b_fun$' ) > 'B_b_option_fun$' ).
tff(func_def_358,type,
sK1: ( 'B_c_c_fun_fun$' * 'C_b_fun$' ) > 'C$' ).
tff(func_def_359,type,
sK2: 'B_b_option_fun_c_c_option_fun_fun$' > 'C_b_fun$' ).
tff(func_def_360,type,
sK3: 'B_b_option_fun_c_c_option_fun_fun$' > 'B_c_c_fun_fun$' ).
tff(func_def_361,type,
sK4: ( 'C_b_fun$' * 'B_c_c_fun_fun$' ) > 'C$' ).
tff(func_def_362,type,
sK5: ( 'C_b_fun$' * 'B_c_c_fun_fun$' ) > 'B$' ).
tff(func_def_363,type,
sK6: ( 'C_b_fun$' * 'B_c_c_fun_fun$' ) > 'C$' ).
tff(func_def_364,type,
sK7: 'B_c_c_fun_fun$' > 'B$' ).
tff(func_def_365,type,
sK8: 'B_c_c_fun_fun$' > 'B$' ).
tff(func_def_366,type,
sK9: 'B_c_c_fun_fun$' > 'C$' ).
tff(func_def_367,type,
sK10: ( 'B_b_option_fun_c_c_option_fun_fun$' * 'B_b_option_fun_c_c_option_fun_fun$' ) > 'B$' ).
tff(func_def_368,type,
sK11: ( 'B_b_option_fun_c_c_option_fun_fun$' * 'B_b_option_fun_c_c_option_fun_fun$' ) > 'B$' ).
tff(func_def_369,type,
sK12: ( 'B_b_option_fun_c_c_option_fun_fun$' * 'C_b_fun$' * 'B_c_c_option_fun_fun$' ) > 'B_b_option_fun$' ).
tff(func_def_370,type,
sK13: ( 'B_b_option_fun_c_c_option_fun_fun$' * 'C_b_fun$' * 'B_c_c_option_fun_fun$' ) > 'C$' ).
tff(func_def_371,type,
sK14: 'B_b_option_fun_c_c_option_fun_fun$' > 'C_b_fun$' ).
tff(func_def_372,type,
sK15: 'B_b_option_fun_c_c_option_fun_fun$' > 'B_c_c_option_fun_fun$' ).
tff(func_def_373,type,
sK16: ( 'C_option$' * 'C_b_fun$' * 'C_b_fun$' ) > 'C$' ).
tff(func_def_374,type,
sK17: ( 'C_option$' * 'C_b_fun$' * 'C_b_fun$' ) > 'C$' ).
tff(func_def_375,type,
sK18: ( 'C_option$' * 'C_option$' * 'C_b_fun$' * 'C_b_fun$' ) > 'C$' ).
tff(func_def_376,type,
sK19: ( 'C_option$' * 'C_option$' * 'C_b_fun$' * 'C_b_fun$' ) > 'C$' ).
tff(func_def_377,type,
sK20: ( 'C_option$' * 'C_b_fun$' * 'C_b_fun$' ) > 'C$' ).
tff(func_def_378,type,
sK21: ( 'C_b_fun$' * 'C_option$' * 'B$' ) > 'C$' ).
tff(func_def_379,type,
sK22: ( 'C_c_fun$' * 'C_option$' * 'C$' ) > 'C$' ).
tff(func_def_380,type,
sK23: ( 'B_b_option_fun_b_b_option_fun_fun$' * 'B_b_fun$' * 'B_b_b_option_fun_fun$' ) > 'B_b_option_fun$' ).
tff(func_def_381,type,
sK24: ( 'B_b_option_fun_b_b_option_fun_fun$' * 'B_b_fun$' * 'B_b_b_option_fun_fun$' ) > 'B$' ).
tff(func_def_382,type,
sK25: 'C_option$' > 'C$' ).
tff(func_def_383,type,
sK26: 'C_option$' > 'C$' ).
tff(func_def_384,type,
sK27: 'C_option$' > 'C$' ).
tff(func_def_385,type,
sK28: 'B_option$' > 'B$' ).
tff(func_def_386,type,
sK29: 'B_option$' > 'B$' ).
tff(func_def_387,type,
sK30: 'B_option$' > 'B$' ).
tff(func_def_388,type,
sK31: 'C_option_bool_fun$' > 'C$' ).
tff(func_def_389,type,
sK32: 'C_option_bool_fun$' > 'C_option$' ).
tff(func_def_390,type,
sK33: 'C_option_bool_fun$' > 'C_option$' ).
tff(func_def_391,type,
sK34: 'C_option_bool_fun$' > 'C$' ).
tff(func_def_392,type,
sK35: ( 'C_option$' * 'C_c_fun$' ) > 'C$' ).
tff(func_def_393,type,
sK36: ( 'C_option$' * 'C_bool_fun$' ) > 'C$' ).
tff(func_def_394,type,
sK37: ( 'C_option$' * 'C_c_option_fun$' * 'C_c_option_fun$' ) > 'C$' ).
tff(func_def_395,type,
sK38: ( 'B_option$' * 'B_b_fun$' * 'B_b_fun$' ) > 'B$' ).
tff(func_def_396,type,
sK39: ( 'B_b_fun$' * 'B_option$' * 'B$' ) > 'B$' ).
tff(func_def_397,type,
sK40: ( 'C_c_option_fun_c_c_option_fun_fun$' * 'C_c_fun$' * 'C_c_c_option_fun_fun$' ) > 'C_c_option_fun$' ).
tff(func_def_398,type,
sK41: ( 'C_c_option_fun_c_c_option_fun_fun$' * 'C_c_fun$' * 'C_c_c_option_fun_fun$' ) > 'C$' ).
tff(func_def_399,type,
sK42: ( 'A_a_option_fun_b_b_option_fun_fun$' * 'A_a_option_fun_b_b_option_fun_fun$' ) > 'A$' ).
tff(func_def_400,type,
sK43: ( 'A_a_option_fun_b_b_option_fun_fun$' * 'A_a_option_fun_b_b_option_fun_fun$' ) > 'A$' ).
tff(func_def_401,type,
sK44: ( 'A_a_option_fun_b_b_option_fun_fun$' * 'B_a_fun$' * 'A_b_b_option_fun_fun$' ) > 'A_a_option_fun$' ).
tff(func_def_402,type,
sK45: ( 'A_a_option_fun_b_b_option_fun_fun$' * 'B_a_fun$' * 'A_b_b_option_fun_fun$' ) > 'B$' ).
tff(func_def_403,type,
sK46: 'A_a_option_fun_b_b_option_fun_fun$' > 'B_a_fun$' ).
tff(func_def_404,type,
sK47: 'A_a_option_fun_b_b_option_fun_fun$' > 'A_b_b_option_fun_fun$' ).
tff(func_def_405,type,
sK48: ( 'C_option_bool_fun$' * 'B_option$' * 'B_c_option_fun$' ) > 'B$' ).
tff(func_def_406,type,
sK49: ( 'B_option$' * 'B_c_option_fun$' * 'B_c_option_fun$' ) > 'B$' ).
tff(func_def_407,type,
sK50: ( 'B_option$' * 'B_c_option_fun$' * 'C$' ) > 'B$' ).
tff(func_def_408,type,
sK51: ( 'C_option_bool_fun$' * 'B_option$' * 'B_c_option_fun$' ) > 'B$' ).
tff(func_def_409,type,
sK52: 'C_set$' > 'C$' ).
tff(func_def_410,type,
sK53: 'C_set$' > 'C$' ).
tff(func_def_411,type,
sK54: 'C_set$' > 'C$' ).
tff(func_def_412,type,
sK55: ( 'C_option_bool_fun$' * 'C_option$' * 'C_c_option_fun$' ) > 'C$' ).
tff(func_def_413,type,
sK56: ( 'C_option$' * 'C_c_option_fun$' * 'C_c_option_fun$' ) > 'C$' ).
tff(func_def_414,type,
sK57: ( 'C_option$' * 'C_c_option_fun$' * 'C$' ) > 'C$' ).
tff(func_def_415,type,
sK58: ( 'C_option_bool_fun$' * 'C_option$' * 'C_c_option_fun$' ) > 'C$' ).
tff(func_def_416,type,
sK59: 'B_option_bool_fun$' > 'B$' ).
tff(func_def_417,type,
sK60: 'B_option_bool_fun$' > 'B_option$' ).
tff(func_def_418,type,
sK61: 'B_option_bool_fun$' > 'B_option$' ).
tff(func_def_419,type,
sK62: 'B_option_bool_fun$' > 'B$' ).
tff(pred_def_1,type,
'valid_getter_setter$c': ( 'B_c_fun$' * 'C_b_b_fun_fun$' ) > $o ).
tff(pred_def_2,type,
'member$b': ( 'C$' * 'C_set$' ) > $o ).
tff(pred_def_3,type,
'fun_app$z': ( 'A_bool_fun$' * 'A$' ) > $o ).
tff(pred_def_4,type,
'register$f': 'C_c_option_fun_c_c_option_fun_fun$' > $o ).
tff(pred_def_5,type,
'is_empty$c': 'C_option_set$' > $o ).
tff(pred_def_6,type,
'member$c': ( 'B$' * 'B_set$' ) > $o ).
tff(pred_def_7,type,
'member$d': ( 'A$' * 'A_set$' ) > $o ).
tff(pred_def_8,type,
'member$a': ( 'B_option$' * 'B_option_set$' ) > $o ).
tff(pred_def_9,type,
'inj_on$': ( 'C_c_option_fun$' * 'C_set$' ) > $o ).
tff(pred_def_10,type,
'is_empty$b': 'B_option_set$' > $o ).
tff(pred_def_11,type,
'valid_getter_setter$a': ( 'B_a_fun$' * 'A_b_b_fun_fun$' ) > $o ).
tff(pred_def_12,type,
'preregister$e': 'A_a_option_fun_a_a_option_fun_fun$' > $o ).
tff(pred_def_13,type,
'is_empty$a': 'C_set$' > $o ).
tff(pred_def_14,type,
'is_empty$': 'B_set$' > $o ).
tff(pred_def_15,type,
'fun_app$b': ( 'C_bool_fun$' * 'C$' ) > $o ).
tff(pred_def_16,type,
'preregister$d': 'C_c_option_fun_b_b_option_fun_fun$' > $o ).
tff(pred_def_18,type,
'register$': 'A_a_option_fun_b_b_option_fun_fun$' > $o ).
tff(pred_def_19,type,
'register$d': 'A_a_option_fun_c_c_option_fun_fun$' > $o ).
tff(pred_def_20,type,
'member$': ( 'C_option$' * 'C_option_set$' ) > $o ).
tff(pred_def_21,type,
'valid_getter_setter$b': ( 'B_b_fun$' * 'B_b_b_fun_fun$' ) > $o ).
tff(pred_def_22,type,
'preregister$b': 'B_b_option_fun_c_c_option_fun_fun$' > $o ).
tff(pred_def_23,type,
'preregister$f': 'A_a_option_fun_c_c_option_fun_fun$' > $o ).
tff(pred_def_24,type,
'register$b': 'C_c_option_fun_a_a_option_fun_fun$' > $o ).
tff(pred_def_25,type,
'fun_app$c': ( 'B_bool_fun$' * 'B$' ) > $o ).
tff(pred_def_26,type,
'valid_getter_setter$': ( 'C_b_fun$' * 'B_c_c_fun_fun$' ) > $o ).
tff(pred_def_27,type,
'register$e': 'A_a_option_fun_a_a_option_fun_fun$' > $o ).
tff(pred_def_28,type,
'register$h': 'B_b_option_fun_b_b_option_fun_fun$' > $o ).
tff(pred_def_29,type,
'preregister$a': 'C_c_option_fun_c_c_option_fun_fun$' > $o ).
tff(pred_def_30,type,
'fun_app$aw': ( 'A_option_bool_fun$' * 'A_option$' ) > $o ).
tff(pred_def_31,type,
'register$c': 'B_b_option_fun_a_a_option_fun_fun$' > $o ).
tff(pred_def_32,type,
'inj_on$a': ( 'B_b_option_fun$' * 'B_set$' ) > $o ).
tff(pred_def_33,type,
'fun_app$ag': ( 'Bool_bool_fun$' * tlbool ) > $o ).
tff(pred_def_34,type,
'register$a': 'B_b_option_fun_c_c_option_fun_fun$' > $o ).
tff(pred_def_35,type,
'preregister$': 'B_b_option_fun_b_b_option_fun_fun$' > $o ).
tff(pred_def_36,type,
'preregister$c': 'A_a_option_fun_b_b_option_fun_fun$' > $o ).
tff(pred_def_37,type,
'register$g': 'C_c_option_fun_b_b_option_fun_fun$' > $o ).
tff(pred_def_38,type,
'fun_app$': ( 'C_option_bool_fun$' * 'C_option$' ) > $o ).
tff(pred_def_39,type,
'fun_app$a': ( 'B_option_bool_fun$' * 'B_option$' ) > $o ).
tff(pred_def_40,type,
'valid_getter_setter$d': ( 'C_c_fun$' * 'C_c_c_fun_fun$' ) > $o ).
tff(f73,conjecture,
'thesis$',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture72) ).
tff(f74,negated_conjecture,
~ 'thesis$',
inference(negated_conjecture,[status(cth)],[f73]) ).
tff(f75,axiom,
! [X0: 'B_c_c_fun_fun$',X1: 'C_b_fun$'] :
( ( ! [X2: 'B_b_option_fun$',X3: 'C$'] : ( 'fun_app$j'('fun_app$am'('g$',X2),X3) = 'fun_app$an'('case_option$c'('none$','uu$'(X0,X3)),'fun_app$g'(X2,'fun_app$m'(X1,X3))) )
& 'valid_getter_setter$'(X1,X0) )
=> 'thesis$' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis73) ).
tff(f77,axiom,
'register$a'('g$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom75) ).
tff(f96,axiom,
! [X0: 'C_b_fun$',X1: 'B_c_c_fun_fun$',X2: 'B_b_option_fun$',X3: 'C$'] : ( 'fun_app$j'('fun_app$am'('register_from_getter_setter$a'(X0,X1),X2),X3) = 'fun_app$an'('case_option$c'('none$','uu$'(X1,X3)),'fun_app$g'(X2,'fun_app$m'(X0,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom94) ).
tff(f138,axiom,
! [X0: 'B_b_option_fun_c_c_option_fun_fun$'] :
( 'register$a'(X0)
<=> ? [X1: 'C_b_fun$',X2: 'B_c_c_fun_fun$'] :
( ( X0 = 'register_from_getter_setter$a'(X1,X2) )
& 'valid_getter_setter$'(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom136) ).
tff(f737,plain,
~ 'thesis$',
inference(flattening,[],[f74]) ).
tff(f778,plain,
! [X0: 'B_c_c_fun_fun$',X1: 'C_b_fun$'] :
( 'thesis$'
| ? [X2: 'B_b_option_fun$',X3: 'C$'] : ( 'fun_app$j'('fun_app$am'('g$',X2),X3) != 'fun_app$an'('case_option$c'('none$','uu$'(X0,X3)),'fun_app$g'(X2,'fun_app$m'(X1,X3))) )
| ~ 'valid_getter_setter$'(X1,X0) ),
inference(ennf_transformation,[],[f75]) ).
tff(f779,plain,
! [X0: 'B_c_c_fun_fun$',X1: 'C_b_fun$'] :
( 'thesis$'
| ? [X2: 'B_b_option_fun$',X3: 'C$'] : ( 'fun_app$j'('fun_app$am'('g$',X2),X3) != 'fun_app$an'('case_option$c'('none$','uu$'(X0,X3)),'fun_app$g'(X2,'fun_app$m'(X1,X3))) )
| ~ 'valid_getter_setter$'(X1,X0) ),
inference(flattening,[],[f778]) ).
tff(f854,plain,
! [X0: 'B_c_c_fun_fun$',X1: 'C_b_fun$'] :
( 'thesis$'
| ( 'fun_app$j'('fun_app$am'('g$',sK0(X0,X1)),sK1(X0,X1)) != 'fun_app$an'('case_option$c'('none$','uu$'(X0,sK1(X0,X1))),'fun_app$g'(sK0(X0,X1),'fun_app$m'(X1,sK1(X0,X1)))) )
| ~ 'valid_getter_setter$'(X1,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f779]) ).
tff(f855,plain,
! [X0: 'B_b_option_fun_c_c_option_fun_fun$'] :
( ( 'register$a'(X0)
| ! [X1: 'C_b_fun$',X2: 'B_c_c_fun_fun$'] :
( ( 'register_from_getter_setter$a'(X1,X2) != X0 )
| ~ 'valid_getter_setter$'(X1,X2) ) )
& ( ? [X1: 'C_b_fun$',X2: 'B_c_c_fun_fun$'] :
( ( X0 = 'register_from_getter_setter$a'(X1,X2) )
& 'valid_getter_setter$'(X1,X2) )
| ~ 'register$a'(X0) ) ),
inference(nnf_transformation,[],[f138]) ).
tff(f856,plain,
! [X0: 'B_b_option_fun_c_c_option_fun_fun$'] :
( ( 'register$a'(X0)
| ! [X1: 'C_b_fun$',X2: 'B_c_c_fun_fun$'] :
( ( 'register_from_getter_setter$a'(X1,X2) != X0 )
| ~ 'valid_getter_setter$'(X1,X2) ) )
& ( ? [X3: 'C_b_fun$',X4: 'B_c_c_fun_fun$'] :
( ( 'register_from_getter_setter$a'(X3,X4) = X0 )
& 'valid_getter_setter$'(X3,X4) )
| ~ 'register$a'(X0) ) ),
inference(rectify,[],[f855]) ).
tff(f857,plain,
! [X0: 'B_b_option_fun_c_c_option_fun_fun$'] :
( ( 'register$a'(X0)
| ! [X1: 'C_b_fun$',X2: 'B_c_c_fun_fun$'] :
( ( 'register_from_getter_setter$a'(X1,X2) != X0 )
| ~ 'valid_getter_setter$'(X1,X2) ) )
& ( ( ( 'register_from_getter_setter$a'(sK2(X0),sK3(X0)) = X0 )
& 'valid_getter_setter$'(sK2(X0),sK3(X0)) )
| ~ 'register$a'(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X3,sK2(X0)),skolemize(X4,sK3(X0))],[f856]) ).
tff(f993,plain,
~ 'thesis$',
inference(cnf_transformation,[],[f737]) ).
tff(f994,plain,
! [X0: 'B_c_c_fun_fun$',X1: 'C_b_fun$'] :
( 'thesis$'
| ( 'fun_app$j'('fun_app$am'('g$',sK0(X0,X1)),sK1(X0,X1)) != 'fun_app$an'('case_option$c'('none$','uu$'(X0,sK1(X0,X1))),'fun_app$g'(sK0(X0,X1),'fun_app$m'(X1,sK1(X0,X1)))) )
| ~ 'valid_getter_setter$'(X1,X0) ),
inference(cnf_transformation,[],[f854]) ).
tff(f997,plain,
! [X0: 'B_b_option_fun_c_c_option_fun_fun$'] :
( 'valid_getter_setter$'(sK2(X0),sK3(X0))
| ~ 'register$a'(X0) ),
inference(cnf_transformation,[],[f857]) ).
tff(f998,plain,
! [X0: 'B_b_option_fun_c_c_option_fun_fun$'] :
( ~ 'register$a'(X0)
| ( 'register_from_getter_setter$a'(sK2(X0),sK3(X0)) = X0 ) ),
inference(cnf_transformation,[],[f857]) ).
tff(f1004,plain,
'register$a'('g$'),
inference(cnf_transformation,[],[f77]) ).
tff(f1009,plain,
! [X2: 'B_b_option_fun$',X3: 'C$',X0: 'C_b_fun$',X1: 'B_c_c_fun_fun$'] : ( 'fun_app$j'('fun_app$am'('register_from_getter_setter$a'(X0,X1),X2),X3) = 'fun_app$an'('case_option$c'('none$','uu$'(X1,X3)),'fun_app$g'(X2,'fun_app$m'(X0,X3))) ),
inference(cnf_transformation,[],[f96]) ).
tff(f1412,plain,
! [X0: 'B_c_c_fun_fun$',X1: 'C_b_fun$'] :
( ( 'fun_app$j'('fun_app$am'('g$',sK0(X0,X1)),sK1(X0,X1)) != 'fun_app$j'('fun_app$am'('register_from_getter_setter$a'(X1,X0),sK0(X0,X1)),sK1(X0,X1)) )
| 'thesis$'
| ~ 'valid_getter_setter$'(X1,X0) ),
inference(forward_demodulation,[],[f994,f1009]) ).
tff(f1415,plain,
! [X0: 'B_c_c_fun_fun$',X1: 'C_b_fun$'] :
( ( 'fun_app$j'('fun_app$am'('g$',sK0(X0,X1)),sK1(X0,X1)) != 'fun_app$j'('fun_app$am'('register_from_getter_setter$a'(X1,X0),sK0(X0,X1)),sK1(X0,X1)) )
| ~ 'valid_getter_setter$'(X1,X0) ),
inference(forward_subsumption_resolution,[],[f1412,f993]) ).
tff(f1439,plain,
'g$' = 'register_from_getter_setter$a'(sK2('g$'),sK3('g$')),
inference(resolution,[],[f998,f1004]) ).
tff(f1443,plain,
( ( 'fun_app$j'('fun_app$am'('g$',sK0(sK3('g$'),sK2('g$'))),sK1(sK3('g$'),sK2('g$'))) != 'fun_app$j'('fun_app$am'('g$',sK0(sK3('g$'),sK2('g$'))),sK1(sK3('g$'),sK2('g$'))) )
| ~ 'valid_getter_setter$'(sK2('g$'),sK3('g$')) ),
inference(superposition,[],[f1415,f1439]) ).
tff(f1444,plain,
~ 'valid_getter_setter$'(sK2('g$'),sK3('g$')),
inference(trivial_inequality_removal,[],[f1443]) ).
tff(f1449,plain,
~ 'register$a'('g$'),
inference(resolution,[],[f1444,f997]) ).
tff(f1450,plain,
$false,
inference(forward_subsumption_resolution,[],[f1449,f1004]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP386_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n005.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 12:56:32 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 2.05/1.70 % (3967979)Detected formulas, will run a generic FOF schedule.
% 2.05/1.70 % (3968003)dis-21_1_sil=8000:lcm=predicate:random_seed=315116242:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.05/1.70 % (3968002)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3984468702:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.05/1.70 % (3968000)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1217543209:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.05/1.70 % (3968000)Refutation not found, incomplete strategy
% 2.05/1.70 % (3968000)------------------------------
% 2.05/1.70 % (3968000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.05/1.70 % (3968000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/1.70 % (3968000)CaDiCaL version: 2.1.3
% 2.05/1.70 % (3968000)Termination reason: Refutation not found, incomplete strategy
% 2.05/1.70 % (3968000)Time elapsed: 0.005 s
% 2.05/1.70 % (3968000)Peak memory usage: 89 MB
% 2.05/1.70 % (3968000)Instructions burned: 5 (million)
% 2.05/1.70 % (3967998)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1494472880:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.05/1.70 % (3967999)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3963668816:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.05/1.70 % (3968001)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2858897341:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.05/1.70 % (3967997)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=779129938:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.05/1.70 % (3968002)Instruction limit reached!
% 2.05/1.70 % (3968002)------------------------------
% 2.05/1.70 % (3968002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.05/1.70 % (3968002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/1.70 % (3968002)CaDiCaL version: 2.1.3
% 2.05/1.70 % (3968002)Termination reason: Instruction limit
% 2.05/1.70 % (3968002)Termination phase: Saturation
% 2.05/1.70 % (3968002)Time elapsed: 0.083 s
% 2.05/1.70 % (3968002)Peak memory usage: 91 MB
% 2.05/1.70 % (3968002)Instructions burned: 140 (million)
% 2.05/1.70 % (3968003)Instruction limit reached!
% 2.05/1.70 % (3968003)------------------------------
% 2.05/1.70 % (3968003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.05/1.70 % (3968003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/1.70 % (3968003)CaDiCaL version: 2.1.3
% 2.05/1.70 % (3968003)Termination reason: Instruction limit
% 2.05/1.70 % (3968003)Termination phase: Saturation
% 2.05/1.70 % (3968003)Time elapsed: 0.113 s
% 2.05/1.70 % (3968003)Peak memory usage: 91 MB
% 2.05/1.70 % (3968003)Instructions burned: 129 (million)
% 2.05/1.70 % (3968001)Instruction limit reached!
% 2.05/1.70 % (3968001)------------------------------
% 2.05/1.70 % (3968001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.05/1.70 % (3968001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/1.70 % (3968001)CaDiCaL version: 2.1.3
% 2.05/1.70 % (3968001)Termination reason: Instruction limit
% 2.05/1.70 % (3968001)Termination phase: Saturation
% 2.05/1.70 % (3968001)Time elapsed: 0.118 s
% 2.05/1.70 % (3968001)Peak memory usage: 89 MB
% 2.05/1.70 % (3968001)Instructions burned: 119 (million)
% 2.05/1.70 % (3968013)lrs+10_1_sil=8000:sp=occurrence:random_seed=3129628159:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.05/1.70 % (3968013)First to succeed.
% 2.05/1.70 % (3968013)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3967979"
% 2.05/1.70 % (3968000)------------------------------
% 2.05/1.70 % (3968000)------------------------------
% 2.05/1.70 % (3968015)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2038785836:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 2.05/1.70 % (3968015)Refutation not found, incomplete strategy
% 2.05/1.70 % (3968015)------------------------------
% 2.05/1.70 % (3968015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.05/1.70 % (3968015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/1.70 % (3968015)CaDiCaL version: 2.1.3
% 2.05/1.70 % (3968015)Termination reason: Refutation not found, incomplete strategy
% 2.05/1.70 % (3968015)Time elapsed: 0.010 s
% 2.05/1.70 % (3968015)Peak memory usage: 88 MB
% 2.05/1.70 % (3968015)Instructions burned: 10 (million)
% 2.05/1.70 % (3968016)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1653393343:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 2.05/1.70 % (3968016)Also succeeded, but the first one will report.
% 2.05/1.70 % (3968020)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2428560823:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 2.05/1.70 % (3968013)Refutation found. Thanks to Tanya!
% 2.05/1.70 % SZS status Theorem for theBenchmark
% 2.05/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 5.40/1.84 % (3968013)------------------------------
% 5.40/1.84 % (3968013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.84 % (3968013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.84 % (3968013)CaDiCaL version: 2.1.3
% 5.40/1.84 % (3968013)Termination reason: Refutation
% 5.40/1.84 % (3968013)Time elapsed: 0.018 s
% 5.40/1.84 % (3968013)Peak memory usage: 90 MB
% 5.40/1.84 % (3968013)Instructions burned: 29 (million)
% 5.40/1.84 % (3968013)------------------------------
% 5.40/1.84 % (3968013)------------------------------
% 5.40/1.84 % (3967979)Success in time 0.696 s
% 5.40/1.84 % Vampire exiting
%------------------------------------------------------------------------------