%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP386_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:39:31 AM UTC 2026
% Result : Theorem 1.03s 0.98s
% Output : Refutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 50 ( 22 unt; 0 typ; 2 def)
% Number of atoms : 87 ( 25 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 78 ( 41 ~; 29 |; 2 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 44 ( 42 usr; 4 prp; 0-2 aty)
% Number of functors : 562 ( 562 usr; 67 con; 0-4 aty)
% Number of variables : 46 ( 0 sgn 40 !; 6 ?; 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$' ).
tff(func_def_359,type,
sK2: 'B_c_c_fun_fun$' > 'B$' ).
tff(func_def_360,type,
sK3: 'B_c_c_fun_fun$' > 'B$' ).
tff(func_def_361,type,
sK4: 'B_c_c_fun_fun$' > '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$' ).
tff(func_def_364,type,
sK7: ( 'C_b_fun$' * 'B_c_c_fun_fun$' ) > 'C$' ).
tff(func_def_365,type,
sK8: 'A_b_b_fun_fun$' > 'A$' ).
tff(func_def_366,type,
sK9: 'A_b_b_fun_fun$' > 'A$' ).
tff(func_def_367,type,
sK10: 'A_b_b_fun_fun$' > 'B$' ).
tff(func_def_368,type,
sK11: ( 'B_a_fun$' * 'A_b_b_fun_fun$' ) > 'A$' ).
tff(func_def_369,type,
sK12: ( 'B_a_fun$' * 'A_b_b_fun_fun$' ) > 'B$' ).
tff(func_def_370,type,
sK13: ( 'B_a_fun$' * 'A_b_b_fun_fun$' ) > 'B$' ).
tff(func_def_371,type,
sK14: 'A_option$' > 'A$' ).
tff(func_def_372,type,
sK15: 'C_option$' > 'C$' ).
tff(func_def_373,type,
sK16: 'B_option$' > 'B$' ).
tff(func_def_374,type,
sK17: 'A_option$' > 'A$' ).
tff(func_def_375,type,
sK18: 'C_option$' > 'C$' ).
tff(func_def_376,type,
sK19: 'B_option$' > 'B$' ).
tff(func_def_377,type,
sK20: 'A_option$' > 'A$' ).
tff(func_def_378,type,
sK21: 'C_option$' > 'C$' ).
tff(func_def_379,type,
sK22: 'B_option$' > 'B$' ).
tff(func_def_380,type,
sK23: 'A_option_bool_fun$' > 'A_option$' ).
tff(func_def_381,type,
sK24: 'A_option_bool_fun$' > 'A$' ).
tff(func_def_382,type,
sK25: 'C_option_bool_fun$' > 'C_option$' ).
tff(func_def_383,type,
sK26: 'C_option_bool_fun$' > 'C$' ).
tff(func_def_384,type,
sK27: 'B_option_bool_fun$' > 'B_option$' ).
tff(func_def_385,type,
sK28: 'B_option_bool_fun$' > 'B$' ).
tff(func_def_386,type,
sK29: 'A_b_b_fun_fun$' ).
tff(func_def_387,type,
sK30: 'B_a_fun$' ).
tff(func_def_388,type,
sK31: ( 'A_bool_fun$' * 'A_option$' ) > 'A$' ).
tff(func_def_389,type,
sK32: ( 'C_bool_fun$' * 'C_option$' ) > 'C$' ).
tff(func_def_390,type,
sK33: ( 'B_bool_fun$' * 'B_option$' ) > 'B$' ).
tff(func_def_391,type,
sK34: 'B_b_option_fun_b_b_option_fun_fun$' > 'B_b_fun$' ).
tff(func_def_392,type,
sK35: 'B_b_option_fun_b_b_option_fun_fun$' > 'B_b_b_fun_fun$' ).
tff(func_def_393,type,
sK36: 'C_c_option_fun_c_c_option_fun_fun$' > 'C_c_fun$' ).
tff(func_def_394,type,
sK37: 'C_c_option_fun_c_c_option_fun_fun$' > 'C_c_c_fun_fun$' ).
tff(func_def_395,type,
sK38: 'B_b_option_fun_c_c_option_fun_fun$' > 'C_b_fun$' ).
tff(func_def_396,type,
sK39: 'B_b_option_fun_c_c_option_fun_fun$' > 'B_c_c_fun_fun$' ).
tff(func_def_397,type,
sK40: 'A_a_option_fun_b_b_option_fun_fun$' > 'B_a_fun$' ).
tff(func_def_398,type,
sK41: 'A_a_option_fun_b_b_option_fun_fun$' > 'A_b_b_fun_fun$' ).
tff(func_def_399,type,
sK42: ( 'C_option$' * 'C_option_a_option_bool_fun_fun$' * 'A_option$' ) > 'C$' ).
tff(func_def_400,type,
sK43: ( 'C_option$' * 'C_option_a_option_bool_fun_fun$' * 'A_option$' ) > 'A$' ).
tff(func_def_401,type,
sK44: ( 'B_option$' * 'B_option_a_option_bool_fun_fun$' * 'A_option$' ) > 'B$' ).
tff(func_def_402,type,
sK45: ( 'B_option$' * 'B_option_a_option_bool_fun_fun$' * 'A_option$' ) > 'A$' ).
tff(func_def_403,type,
sK46: ( 'A_option$' * 'A_option_c_option_bool_fun_fun$' * 'C_option$' ) > 'A$' ).
tff(func_def_404,type,
sK47: ( 'A_option$' * 'A_option_c_option_bool_fun_fun$' * 'C_option$' ) > 'C$' ).
tff(func_def_405,type,
sK48: ( 'A_option$' * 'A_option_b_option_bool_fun_fun$' * 'B_option$' ) > 'A$' ).
tff(func_def_406,type,
sK49: ( 'A_option$' * 'A_option_b_option_bool_fun_fun$' * 'B_option$' ) > 'B$' ).
tff(func_def_407,type,
sK50: ( 'A_option$' * 'A_option_a_option_bool_fun_fun$' * 'A_option$' ) > 'A$' ).
tff(func_def_408,type,
sK51: ( 'A_option$' * 'A_option_a_option_bool_fun_fun$' * 'A_option$' ) > 'A$' ).
tff(func_def_409,type,
sK52: ( 'C_option$' * 'C_option_c_option_bool_fun_fun$' * 'C_option$' ) > 'C$' ).
tff(func_def_410,type,
sK53: ( 'C_option$' * 'C_option_c_option_bool_fun_fun$' * 'C_option$' ) > 'C$' ).
tff(func_def_411,type,
sK54: ( 'C_option$' * 'C_option_b_option_bool_fun_fun$' * 'B_option$' ) > 'C$' ).
tff(func_def_412,type,
sK55: ( 'C_option$' * 'C_option_b_option_bool_fun_fun$' * 'B_option$' ) > 'B$' ).
tff(func_def_413,type,
sK56: ( 'B_option$' * 'B_option_c_option_bool_fun_fun$' * 'C_option$' ) > 'B$' ).
tff(func_def_414,type,
sK57: ( 'B_option$' * 'B_option_c_option_bool_fun_fun$' * 'C_option$' ) > 'C$' ).
tff(func_def_415,type,
sK58: ( 'B_option$' * 'B_option_b_option_bool_fun_fun$' * 'B_option$' ) > 'B$' ).
tff(func_def_416,type,
sK59: ( 'B_option$' * 'B_option_b_option_bool_fun_fun$' * 'B_option$' ) > 'B$' ).
tff(func_def_417,type,
sK60: 'A_option_bool_fun$' > 'A_option$' ).
tff(func_def_418,type,
sK61: 'A_option_bool_fun$' > 'A$' ).
tff(func_def_419,type,
sK62: 'C_option_bool_fun$' > 'C_option$' ).
tff(func_def_420,type,
sK63: 'C_option_bool_fun$' > 'C$' ).
tff(func_def_421,type,
sK64: 'B_option_bool_fun$' > 'B_option$' ).
tff(func_def_422,type,
sK65: 'B_option_bool_fun$' > 'B$' ).
tff(func_def_423,type,
sK66: 'B_b_option_fun_b_b_option_fun_fun$' > 'B_b_fun$' ).
tff(func_def_424,type,
sK67: 'B_b_option_fun_b_b_option_fun_fun$' > 'B_b_b_option_fun_fun$' ).
tff(func_def_425,type,
sK68: ( '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_426,type,
sK69: ( 'B_b_option_fun_b_b_option_fun_fun$' * 'B_b_fun$' * 'B_b_b_option_fun_fun$' ) > 'B$' ).
tff(func_def_427,type,
sK70: 'C_c_option_fun_c_c_option_fun_fun$' > 'C_c_fun$' ).
tff(func_def_428,type,
sK71: 'C_c_option_fun_c_c_option_fun_fun$' > 'C_c_c_option_fun_fun$' ).
tff(func_def_429,type,
sK72: ( '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_430,type,
sK73: ( 'C_c_option_fun_c_c_option_fun_fun$' * 'C_c_fun$' * 'C_c_c_option_fun_fun$' ) > 'C$' ).
tff(func_def_431,type,
sK74: 'B_b_option_fun_c_c_option_fun_fun$' > 'C_b_fun$' ).
tff(func_def_432,type,
sK75: 'B_b_option_fun_c_c_option_fun_fun$' > 'B_c_c_option_fun_fun$' ).
tff(func_def_433,type,
sK76: ( '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_434,type,
sK77: ( 'B_b_option_fun_c_c_option_fun_fun$' * 'C_b_fun$' * 'B_c_c_option_fun_fun$' ) > 'C$' ).
tff(func_def_435,type,
sK78: 'A_a_option_fun_b_b_option_fun_fun$' > 'B_a_fun$' ).
tff(func_def_436,type,
sK79: 'A_a_option_fun_b_b_option_fun_fun$' > 'A_b_b_option_fun_fun$' ).
tff(func_def_437,type,
sK80: ( '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_438,type,
sK81: ( 'A_a_option_fun_b_b_option_fun_fun$' * 'B_a_fun$' * 'A_b_b_option_fun_fun$' ) > 'B$' ).
tff(func_def_439,type,
sK82: ( 'A_c_fun$' * 'A_option$' * 'C$' ) > 'A$' ).
tff(func_def_440,type,
sK83: ( 'C_a_fun$' * 'C_option$' * 'A$' ) > 'C$' ).
tff(func_def_441,type,
sK84: ( 'B_a_fun$' * 'B_option$' * 'A$' ) > 'B$' ).
tff(func_def_442,type,
sK85: ( 'A_b_fun$' * 'A_option$' * 'B$' ) > 'A$' ).
tff(func_def_443,type,
sK86: ( 'A_a_fun$' * 'A_option$' * 'A$' ) > 'A$' ).
tff(func_def_444,type,
sK87: ( 'C_c_fun$' * 'C_option$' * 'C$' ) > 'C$' ).
tff(func_def_445,type,
sK88: ( 'B_c_fun$' * 'B_option$' * 'C$' ) > 'B$' ).
tff(func_def_446,type,
sK89: ( 'C_b_fun$' * 'C_option$' * 'B$' ) > 'C$' ).
tff(func_def_447,type,
sK90: ( 'B_b_fun$' * 'B_option$' * 'B$' ) > 'B$' ).
tff(func_def_448,type,
sK91: 'B_b_b_fun_fun$' > 'B$' ).
tff(func_def_449,type,
sK92: 'B_b_b_fun_fun$' > 'B$' ).
tff(func_def_450,type,
sK93: 'B_b_b_fun_fun$' > 'B$' ).
tff(func_def_451,type,
sK94: 'C_c_c_fun_fun$' > 'C$' ).
tff(func_def_452,type,
sK95: 'C_c_c_fun_fun$' > 'C$' ).
tff(func_def_453,type,
sK96: 'C_c_c_fun_fun$' > 'C$' ).
tff(func_def_454,type,
sK97: 'B_b_b_fun_fun$' > 'B$' ).
tff(func_def_455,type,
sK98: 'B_b_b_fun_fun$' > 'B$' ).
tff(func_def_456,type,
sK99: 'C_c_c_fun_fun$' > 'C$' ).
tff(func_def_457,type,
sK100: 'C_c_c_fun_fun$' > 'C$' ).
tff(func_def_458,type,
sK101: 'B_b_b_fun_fun$' > 'B$' ).
tff(func_def_459,type,
sK102: 'B_b_b_fun_fun$' > 'B$' ).
tff(func_def_460,type,
sK103: 'B_b_b_fun_fun$' > 'B$' ).
tff(func_def_461,type,
sK104: 'B_b_b_fun_fun$' > 'B$' ).
tff(func_def_462,type,
sK105: 'B_b_b_fun_fun$' > 'B$' ).
tff(func_def_463,type,
sK106: 'C_c_c_fun_fun$' > 'C$' ).
tff(func_def_464,type,
sK107: 'C_c_c_fun_fun$' > 'C$' ).
tff(func_def_465,type,
sK108: 'C_c_c_fun_fun$' > 'C$' ).
tff(func_def_466,type,
sK109: 'C_c_c_fun_fun$' > 'C$' ).
tff(func_def_467,type,
sK110: 'C_c_c_fun_fun$' > 'C$' ).
tff(func_def_468,type,
sK111: ( 'A_a_option_fun_b_b_option_fun_fun$' * 'A_a_option_fun_b_b_option_fun_fun$' ) > 'A$' ).
tff(func_def_469,type,
sK112: ( 'A_a_option_fun_b_b_option_fun_fun$' * 'A_a_option_fun_b_b_option_fun_fun$' ) > 'A$' ).
tff(func_def_470,type,
sK113: ( 'B_b_option_fun_c_c_option_fun_fun$' * 'B_b_option_fun_c_c_option_fun_fun$' ) > 'B$' ).
tff(func_def_471,type,
sK114: ( 'B_b_option_fun_c_c_option_fun_fun$' * 'B_b_option_fun_c_c_option_fun_fun$' ) > 'B$' ).
tff(func_def_472,type,
sK115: ( 'C_option$' * 'C_b_fun$' * 'C_b_fun$' ) > 'C$' ).
tff(func_def_473,type,
sK116: ( 'B_option$' * 'B_c_fun$' * 'B_c_fun$' ) > 'B$' ).
tff(func_def_474,type,
sK117: ( 'B_option$' * 'B_b_fun$' * 'B_b_fun$' ) > 'B$' ).
tff(func_def_475,type,
sK118: ( 'A_option$' * 'A_b_fun$' * 'A_b_fun$' ) > 'A$' ).
tff(func_def_476,type,
sK119: ( 'A_option$' * 'A_a_fun$' * 'A_a_fun$' ) > 'A$' ).
tff(func_def_477,type,
sK120: ( 'A_option_bool_fun$' * 'C_option$' * 'C_a_option_fun$' ) > 'C$' ).
tff(func_def_478,type,
sK121: ( 'A_option_bool_fun$' * 'B_option$' * 'B_a_option_fun$' ) > 'B$' ).
tff(func_def_479,type,
sK122: ( 'C_option_bool_fun$' * 'A_option$' * 'A_c_option_fun$' ) > 'A$' ).
tff(func_def_480,type,
sK123: ( 'B_option_bool_fun$' * 'A_option$' * 'A_b_option_fun$' ) > 'A$' ).
tff(func_def_481,type,
sK124: ( 'A_option_bool_fun$' * 'A_option$' * 'A_a_option_fun$' ) > 'A$' ).
tff(func_def_482,type,
sK125: ( 'C_option_bool_fun$' * 'C_option$' * 'C_c_option_fun$' ) > 'C$' ).
tff(func_def_483,type,
sK126: ( 'B_option_bool_fun$' * 'C_option$' * 'C_b_option_fun$' ) > 'C$' ).
tff(func_def_484,type,
sK127: ( 'C_option_bool_fun$' * 'B_option$' * 'B_c_option_fun$' ) > 'B$' ).
tff(func_def_485,type,
sK128: ( 'B_option_bool_fun$' * 'B_option$' * 'B_b_option_fun$' ) > 'B$' ).
tff(func_def_486,type,
sK129: ( 'B_option$' * 'B_b_option_fun$' * 'B_b_option_fun$' ) > 'B$' ).
tff(func_def_487,type,
sK130: ( 'B_option$' * 'B_c_option_fun$' * 'B_c_option_fun$' ) > 'B$' ).
tff(func_def_488,type,
sK131: ( 'C_option$' * 'C_b_option_fun$' * 'C_b_option_fun$' ) > 'C$' ).
tff(func_def_489,type,
sK132: ( 'C_option$' * 'C_c_option_fun$' * 'C_c_option_fun$' ) > 'C$' ).
tff(func_def_490,type,
sK133: ( 'A_option$' * 'A_c_option_fun$' * 'C$' ) > 'A$' ).
tff(func_def_491,type,
sK134: ( 'A_option$' * 'A_b_option_fun$' * 'B$' ) > 'A$' ).
tff(func_def_492,type,
sK135: ( 'C_option$' * 'C_a_option_fun$' * 'A$' ) > 'C$' ).
tff(func_def_493,type,
sK136: ( 'B_option$' * 'B_a_option_fun$' * 'A$' ) > 'B$' ).
tff(func_def_494,type,
sK137: ( 'A_option$' * 'A_a_option_fun$' * 'A$' ) > 'A$' ).
tff(func_def_495,type,
sK138: ( 'C_option$' * 'C_c_option_fun$' * 'C$' ) > 'C$' ).
tff(func_def_496,type,
sK139: ( 'B_option$' * 'B_c_option_fun$' * 'C$' ) > 'B$' ).
tff(func_def_497,type,
sK140: ( 'C_option$' * 'C_b_option_fun$' * 'B$' ) > 'C$' ).
tff(func_def_498,type,
sK141: ( 'B_option$' * 'B_b_option_fun$' * 'B$' ) > 'B$' ).
tff(func_def_499,type,
sK142: ( 'C_option$' * 'C_b_option_fun$' * 'C_b_option_fun$' ) > 'C$' ).
tff(func_def_500,type,
sK143: ( 'C_option$' * 'C_c_option_fun$' * 'C_c_option_fun$' ) > 'C$' ).
tff(func_def_501,type,
sK144: ( 'B_option$' * 'B_b_option_fun$' * 'B_b_option_fun$' ) > 'B$' ).
tff(func_def_502,type,
sK145: ( 'B_option$' * 'B_c_option_fun$' * 'B_c_option_fun$' ) > 'B$' ).
tff(func_def_503,type,
sK146: ( 'B_option_option$' * 'B_option_bool_fun$' ) > 'B_option$' ).
tff(func_def_504,type,
sK147: ( 'C_option_option$' * 'C_option_bool_fun$' ) > 'C_option$' ).
tff(func_def_505,type,
sK148: ( 'A_option$' * 'A_bool_fun$' ) > 'A$' ).
tff(func_def_506,type,
sK149: ( 'C_option$' * 'C_bool_fun$' ) > 'C$' ).
tff(func_def_507,type,
sK150: ( 'B_option$' * 'B_bool_fun$' ) > 'B$' ).
tff(func_def_508,type,
sK151: ( 'B_option_option$' * 'B_option_b_option_fun$' ) > 'B_option$' ).
tff(func_def_509,type,
sK152: ( 'C_option_option$' * 'C_option_c_option_fun$' ) > 'C_option$' ).
tff(func_def_510,type,
sK153: ( 'A_option$' * 'A_a_fun$' ) > 'A$' ).
tff(func_def_511,type,
sK154: ( 'B_option$' * 'B_b_fun$' ) > 'B$' ).
tff(func_def_512,type,
sK155: ( 'C_option$' * 'C_c_fun$' ) > 'C$' ).
tff(func_def_513,type,
sK156: ( 'A_option$' * 'A_option$' * 'A_b_fun$' * 'A_b_fun$' ) > 'A$' ).
tff(func_def_514,type,
sK157: ( 'A_option$' * 'A_option$' * 'A_b_fun$' * 'A_b_fun$' ) > 'A$' ).
tff(func_def_515,type,
sK158: ( 'A_option$' * 'A_option$' * 'A_a_fun$' * 'A_a_fun$' ) > 'A$' ).
tff(func_def_516,type,
sK159: ( 'A_option$' * 'A_option$' * 'A_a_fun$' * 'A_a_fun$' ) > 'A$' ).
tff(func_def_517,type,
sK160: ( 'B_option$' * 'B_option$' * 'B_c_fun$' * 'B_c_fun$' ) > 'B$' ).
tff(func_def_518,type,
sK161: ( 'B_option$' * 'B_option$' * 'B_c_fun$' * 'B_c_fun$' ) > 'B$' ).
tff(func_def_519,type,
sK162: ( 'B_option$' * 'B_option$' * 'B_b_fun$' * 'B_b_fun$' ) > 'B$' ).
tff(func_def_520,type,
sK163: ( 'B_option$' * 'B_option$' * 'B_b_fun$' * 'B_b_fun$' ) > 'B$' ).
tff(func_def_521,type,
sK164: ( 'C_option$' * 'C_option$' * 'C_b_fun$' * 'C_b_fun$' ) > 'C$' ).
tff(func_def_522,type,
sK165: ( 'C_option$' * 'C_option$' * 'C_b_fun$' * 'C_b_fun$' ) > 'C$' ).
tff(func_def_523,type,
sK166: ( 'A_option$' * 'A_b_fun$' * 'A_b_fun$' ) > 'A$' ).
tff(func_def_524,type,
sK167: ( 'A_option$' * 'A_a_fun$' * 'A_a_fun$' ) > 'A$' ).
tff(func_def_525,type,
sK168: ( 'B_option$' * 'B_c_fun$' * 'B_c_fun$' ) > 'B$' ).
tff(func_def_526,type,
sK169: ( 'B_option$' * 'B_b_fun$' * 'B_b_fun$' ) > 'B$' ).
tff(func_def_527,type,
sK170: ( 'C_option$' * 'C_b_fun$' * 'C_b_fun$' ) > 'C$' ).
tff(func_def_528,type,
sK171: ( 'A_option$' * 'A_b_fun$' * 'A_b_fun$' ) > 'A$' ).
tff(func_def_529,type,
sK172: ( 'A_option$' * 'A_a_fun$' * 'A_a_fun$' ) > 'A$' ).
tff(func_def_530,type,
sK173: ( 'B_option$' * 'B_c_fun$' * 'B_c_fun$' ) > 'B$' ).
tff(func_def_531,type,
sK174: ( 'B_option$' * 'B_b_fun$' * 'B_b_fun$' ) > 'B$' ).
tff(func_def_532,type,
sK175: ( 'C_option$' * 'C_b_fun$' * 'C_b_fun$' ) > 'C$' ).
tff(func_def_533,type,
sK176: ( 'A_option_bool_fun$' * 'C_option$' * 'C_a_option_fun$' ) > 'C$' ).
tff(func_def_534,type,
sK177: ( 'A_option_bool_fun$' * 'B_option$' * 'B_a_option_fun$' ) > 'B$' ).
tff(func_def_535,type,
sK178: ( 'C_option_bool_fun$' * 'A_option$' * 'A_c_option_fun$' ) > 'A$' ).
tff(func_def_536,type,
sK179: ( 'B_option_bool_fun$' * 'A_option$' * 'A_b_option_fun$' ) > 'A$' ).
tff(func_def_537,type,
sK180: ( 'A_option_bool_fun$' * 'A_option$' * 'A_a_option_fun$' ) > 'A$' ).
tff(func_def_538,type,
sK181: ( 'C_option_bool_fun$' * 'C_option$' * 'C_c_option_fun$' ) > 'C$' ).
tff(func_def_539,type,
sK182: ( 'B_option_bool_fun$' * 'C_option$' * 'C_b_option_fun$' ) > 'C$' ).
tff(func_def_540,type,
sK183: ( 'C_option_bool_fun$' * 'B_option$' * 'B_c_option_fun$' ) > 'B$' ).
tff(func_def_541,type,
sK184: ( 'B_option_bool_fun$' * 'B_option$' * 'B_b_option_fun$' ) > 'B$' ).
tff(func_def_542,type,
sK185: 'B_bool_fun$' > 'B$' ).
tff(func_def_543,type,
sK186: 'C_bool_fun$' > 'C$' ).
tff(func_def_544,type,
sK187: 'B_option_bool_fun$' > 'B_option$' ).
tff(func_def_545,type,
sK188: 'C_option_bool_fun$' > 'C_option$' ).
tff(func_def_546,type,
sK189: 'B_bool_fun$' > 'B$' ).
tff(func_def_547,type,
sK190: 'C_bool_fun$' > 'C$' ).
tff(func_def_548,type,
sK191: 'B_option_bool_fun$' > 'B_option$' ).
tff(func_def_549,type,
sK192: 'C_option_bool_fun$' > 'C_option$' ).
tff(func_def_550,type,
sK193: 'B_set$' > 'B$' ).
tff(func_def_551,type,
sK194: 'C_set$' > 'C$' ).
tff(func_def_552,type,
sK195: 'B_option_set$' > 'B_option$' ).
tff(func_def_553,type,
sK196: 'C_option_set$' > 'C_option$' ).
tff(func_def_554,type,
sK197: 'B_set$' > 'B$' ).
tff(func_def_555,type,
sK198: 'C_set$' > 'C$' ).
tff(func_def_556,type,
sK199: 'B_option_set$' > 'B_option$' ).
tff(func_def_557,type,
sK200: 'C_option_set$' > 'C_option$' ).
tff(func_def_558,type,
sK201: 'B_set$' > 'B$' ).
tff(func_def_559,type,
sK202: 'C_set$' > 'C$' ).
tff(func_def_560,type,
sK203: 'B_option_set$' > 'B_option$' ).
tff(func_def_561,type,
sK204: 'C_option_set$' > 'C_option$' ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',hypothesis73) ).
tff(f77,axiom,
'register$a'('g$'),
file('/export/starexec/sandbox/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$m'(X0,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom94) ).
tff(f138,axiom,
! [X0: 'B_b_option_fun_c_c_option_fun_fun$'] :
( 'register$a'(X0)
<=> ? [X1: 'C_b_fun$',X2: 'B_c_c_fun_fun$'] :
( ( X0 = 'register_from_getter_setter$a'(X1,X2) )
& 'valid_getter_setter$'(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom136) ).
tff(f165,axiom,
! [X0: 'C_b_fun$',X1: 'B_c_c_fun_fun$'] :
( 'valid_getter_setter$'(X0,X1)
=> ( 'getter$'('register_from_getter_setter$a'(X0,X1)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom163) ).
tff(f168,axiom,
! [X0: 'C_b_fun$',X1: 'B_c_c_fun_fun$'] :
( 'valid_getter_setter$'(X0,X1)
=> ( 'setter$'('register_from_getter_setter$a'(X0,X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom166) ).
tff(f737,plain,
~ 'thesis$',
inference(flattening,[],[f74]) ).
tff(f760,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$'(X1,X0) ),
inference(ennf_transformation,[],[f75]) ).
tff(f761,plain,
! [X0: 'B_c_c_fun_fun$',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,[],[f760]) ).
tff(f807,plain,
! [X0: 'C_b_fun$',X1: 'B_c_c_fun_fun$'] :
( ( 'getter$'('register_from_getter_setter$a'(X0,X1)) = X0 )
| ~ 'valid_getter_setter$'(X0,X1) ),
inference(ennf_transformation,[],[f165]) ).
tff(f809,plain,
! [X0: 'C_b_fun$',X1: 'B_c_c_fun_fun$'] :
( ( 'setter$'('register_from_getter_setter$a'(X0,X1)) = X1 )
| ~ 'valid_getter_setter$'(X0,X1) ),
inference(ennf_transformation,[],[f168]) ).
tff(f1115,plain,
~ 'thesis$',
inference(cnf_transformation,[],[f737]) ).
tff(f1116,plain,
! [X0: 'B_c_c_fun_fun$',X1: 'C_b_fun$'] :
( ~ 'valid_getter_setter$'(X1,X0)
| ( '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$m'(X1,sK1(X0,X1)))) )
| 'thesis$' ),
inference(cnf_transformation,[],[f761]) ).
tff(f1118,plain,
'register$a'('g$'),
inference(cnf_transformation,[],[f77]) ).
tff(f1144,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$m'(X0,X3))) ),
inference(cnf_transformation,[],[f96]) ).
tff(f1218,plain,
! [X0: 'B_b_option_fun_c_c_option_fun_fun$'] :
( 'valid_getter_setter$'(sK38(X0),sK39(X0))
| ~ 'register$a'(X0) ),
inference(cnf_transformation,[],[f138]) ).
tff(f1219,plain,
! [X0: 'B_b_option_fun_c_c_option_fun_fun$'] :
( ~ 'register$a'(X0)
| ( 'register_from_getter_setter$a'(sK38(X0),sK39(X0)) = X0 ) ),
inference(cnf_transformation,[],[f138]) ).
tff(f1266,plain,
! [X0: 'C_b_fun$',X1: 'B_c_c_fun_fun$'] :
( ~ 'valid_getter_setter$'(X0,X1)
| ( 'getter$'('register_from_getter_setter$a'(X0,X1)) = X0 ) ),
inference(cnf_transformation,[],[f807]) ).
tff(f1269,plain,
! [X0: 'C_b_fun$',X1: 'B_c_c_fun_fun$'] :
( ~ 'valid_getter_setter$'(X0,X1)
| ( 'setter$'('register_from_getter_setter$a'(X0,X1)) = X1 ) ),
inference(cnf_transformation,[],[f809]) ).
tff(f2554,definition,
( spl205_1
<=> 'thesis$' ),
introduced(definition,[new_symbols(definition,[spl205_1])],[avatar_definition]) ).
tff(f2556,plain,
( 'thesis$'
| ~ spl205_1 ),
inference(avatar_component_clause,[],[f2554]) ).
tff(f2558,definition,
( spl205_2
<=> ! [X0: 'B_c_c_fun_fun$',X1: 'C_b_fun$'] :
( ~ 'valid_getter_setter$'(X1,X0)
| ( '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$m'(X1,sK1(X0,X1)))) ) ) ),
introduced(definition,[new_symbols(definition,[spl205_2])],[avatar_definition]) ).
tff(f2559,plain,
( ! [X0: 'B_c_c_fun_fun$',X1: 'C_b_fun$'] :
( ~ 'valid_getter_setter$'(X1,X0)
| ( '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)))) ) )
| ~ spl205_2 ),
inference(avatar_component_clause,[],[f2558]) ).
tff(f2560,plain,
( spl205_1
| spl205_2 ),
inference(avatar_split_clause,[],[f1116,f2558,f2554]) ).
tff(f2561,plain,
( $false
| ~ spl205_1 ),
inference(forward_subsumption_resolution,[],[f2556,f1115]) ).
tff(f2562,plain,
~ spl205_1,
inference(avatar_contradiction_clause,[],[f2561]) ).
tff(f2565,plain,
'g$' = 'register_from_getter_setter$a'(sK38('g$'),sK39('g$')),
inference(resolution,[],[f1219,f1118]) ).
tff(f2568,plain,
! [X0: 'B_b_option_fun_c_c_option_fun_fun$'] :
( ~ 'register$a'(X0)
| ( sK38(X0) = 'getter$'('register_from_getter_setter$a'(sK38(X0),sK39(X0))) ) ),
inference(resolution,[],[f1266,f1218]) ).
tff(f2573,plain,
sK38('g$') = 'getter$'('register_from_getter_setter$a'(sK38('g$'),sK39('g$'))),
inference(resolution,[],[f2568,f1118]) ).
tff(f2575,plain,
sK38('g$') = 'getter$'('g$'),
inference(forward_demodulation,[],[f2573,f2565]) ).
tff(f2576,plain,
'g$' = 'register_from_getter_setter$a'('getter$'('g$'),sK39('g$')),
inference(superposition,[],[f2565,f2575]) ).
tff(f2577,plain,
( 'valid_getter_setter$'('getter$'('g$'),sK39('g$'))
| ~ 'register$a'('g$') ),
inference(superposition,[],[f1218,f2575]) ).
tff(f2578,plain,
'valid_getter_setter$'('getter$'('g$'),sK39('g$')),
inference(forward_subsumption_resolution,[],[f2577,f1118]) ).
tff(f2580,plain,
sK39('g$') = 'setter$'('register_from_getter_setter$a'('getter$'('g$'),sK39('g$'))),
inference(resolution,[],[f2578,f1269]) ).
tff(f2584,plain,
sK39('g$') = 'setter$'('g$'),
inference(forward_demodulation,[],[f2580,f2576]) ).
tff(f2586,plain,
'valid_getter_setter$'('getter$'('g$'),'setter$'('g$')),
inference(superposition,[],[f2578,f2584]) ).
tff(f5274,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$'(X1,X0) )
| ~ spl205_2 ),
inference(forward_demodulation,[],[f2559,f1144]) ).
tff(f5689,plain,
( ( 'fun_app$j'('fun_app$am'('g$',sK0(sK39('g$'),sK38('g$'))),sK1(sK39('g$'),sK38('g$'))) != 'fun_app$j'('fun_app$am'('g$',sK0(sK39('g$'),sK38('g$'))),sK1(sK39('g$'),sK38('g$'))) )
| ~ 'valid_getter_setter$'(sK38('g$'),sK39('g$'))
| ~ spl205_2 ),
inference(superposition,[],[f5274,f2565]) ).
tff(f5694,plain,
( ~ 'valid_getter_setter$'(sK38('g$'),sK39('g$'))
| ~ spl205_2 ),
inference(trivial_inequality_removal,[],[f5689]) ).
tff(f5699,plain,
( ~ 'valid_getter_setter$'(sK38('g$'),'setter$'('g$'))
| ~ spl205_2 ),
inference(forward_demodulation,[],[f5694,f2584]) ).
tff(f5700,plain,
( ~ 'valid_getter_setter$'('getter$'('g$'),'setter$'('g$'))
| ~ spl205_2 ),
inference(forward_demodulation,[],[f5699,f2575]) ).
tff(f5701,plain,
( $false
| ~ spl205_2 ),
inference(forward_subsumption_resolution,[],[f5700,f2586]) ).
tff(f5702,plain,
~ spl205_2,
inference(avatar_contradiction_clause,[],[f5701]) ).
cnf(s1,plain,
( spl205_1
| spl205_2 ),
inference(sat_conversion,[],[f2560]) ).
cnf(s2,plain,
~ spl205_1,
inference(sat_conversion,[],[f2562]) ).
cnf(s19,plain,
~ spl205_2,
inference(sat_conversion,[],[f5702]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s1,s19,s2]) ).
tff(f5703,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.45 % Computer : n001.cluster.edu
% 0.16/0.45 % Model : x86_64 x86_64
% 0.16/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.45 % Memory : 8046.5625MB
% 0.16/0.45 % OS : Linux 6.8.0-71-generic
% 0.16/0.45 % CPULimit : 300
% 0.16/0.45 % WCLimit : 300
% 0.16/0.45 % DateTime : Sun Sep 27 13:03:00 UTC 2026
% 0.16/0.46 % CPUTime :
% 0.16/0.46 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.20/0.51 Running first-order model finding
% 0.20/0.51 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.03/0.98 % (3551992)Will run a generic schedule for satisfiability detection.
% 1.03/0.98 % (3551997)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1928160662_2999 on theBenchmark for (2999ds/0Mi)
% 1.03/0.98 % (3551998)% WARNING: option uhcvi not known.
% 1.03/0.98 % (3551998)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4214370497:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.03/0.98 % (3552000)dis+10_1_sil=32000:sp=arity:random_seed=3611748417:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.03/0.98 % (3551999)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=344835673:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.03/0.98 % (3552003)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2931318349:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.03/0.98 % (3552001)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1248850932:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.03/0.98 % (3552002)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2387740454:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.03/0.98 % (3552000)Instruction limit reached!
% 1.03/0.98 % (3552000)------------------------------
% 1.03/0.98 % (3552000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.98 % (3552000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.98 % (3552000)CaDiCaL version: 2.1.3
% 1.03/0.98 % (3552000)Termination reason: Instruction limit
% 1.03/0.98 % (3552000)Termination phase: Saturation
% 1.03/0.98 % (3552000)Time elapsed: 0.098 s
% 1.03/0.98 % (3552000)Peak memory usage: 14 MB
% 1.03/0.98 % (3552000)Instructions burned: 103 (million)
% 1.03/0.98 % (3552001)Instruction limit reached!
% 1.03/0.98 % (3552001)------------------------------
% 1.03/0.98 % (3552001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.98 % (3552001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.98 % (3552001)CaDiCaL version: 2.1.3
% 1.03/0.98 % (3552001)Termination reason: Instruction limit
% 1.03/0.98 % (3552001)Termination phase: Saturation
% 1.03/0.98 % (3552001)Time elapsed: 0.113 s
% 1.03/0.98 % (3552001)Peak memory usage: 14 MB
% 1.03/0.98 % (3552001)Instructions burned: 116 (million)
% 1.03/0.98 % (3552002)Instruction limit reached!
% 1.03/0.98 % (3552002)------------------------------
% 1.03/0.98 % (3552002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.98 % (3552002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.98 % (3552002)CaDiCaL version: 2.1.3
% 1.03/0.98 % (3552002)Termination reason: Instruction limit
% 1.03/0.98 % (3552002)Termination phase: Saturation
% 1.03/0.98 % (3552002)Time elapsed: 0.126 s
% 1.03/0.98 % (3552002)Peak memory usage: 15 MB
% 1.03/0.98 % (3552002)Instructions burned: 131 (million)
% 1.03/0.98 % (3552011)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=18488013:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.03/0.98 % (3552012)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=85081883:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.03/0.98 % (3552003)Instruction limit reached!
% 1.03/0.98 % (3552003)------------------------------
% 1.03/0.98 % (3552003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.98 % (3552003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.98 % (3552003)CaDiCaL version: 2.1.3
% 1.03/0.98 % (3552003)Termination reason: Instruction limit
% 1.03/0.98 % (3552003)Termination phase: Saturation
% 1.03/0.98 % (3552003)Time elapsed: 0.158 s
% 1.03/0.98 % (3552003)Peak memory usage: 15 MB
% 1.03/0.98 % (3552003)Instructions burned: 159 (million)
% 1.03/0.98 % (3552013)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=404028483:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 1.03/0.98 % (3552016)ott-21_1_sil=16000:fs=off:random_seed=974677044:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 1.03/0.98 % (3552012)Instruction limit reached!
% 1.03/0.98 % (3552012)------------------------------
% 1.03/0.98 % (3552012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.98 % (3552012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.98 % (3552012)CaDiCaL version: 2.1.3
% 1.03/0.98 % (3552012)Termination reason: Instruction limit
% 1.03/0.98 % (3552012)Termination phase: Saturation
% 1.03/0.98 % (3552012)Time elapsed: 0.087 s
% 1.03/0.98 % (3552012)Peak memory usage: 14 MB
% 1.03/0.98 % (3552012)Instructions burned: 131 (million)
% 1.03/0.98 % (3552019)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3957073031:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 1.03/0.98 % (3552016)Instruction limit reached!
% 1.03/0.98 % (3552016)------------------------------
% 1.03/0.98 % (3552016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.98 % (3552016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.98 % (3552016)CaDiCaL version: 2.1.3
% 1.03/0.98 % (3552016)Termination reason: Instruction limit
% 1.03/0.98 % (3552016)Termination phase: Saturation
% 1.03/0.98 % (3552016)Time elapsed: 0.168 s
% 1.03/0.98 % (3552016)Peak memory usage: 15 MB
% 1.03/0.98 % (3552016)Instructions burned: 180 (million)
% 1.03/0.98 % (3552013) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3551992-3552013"...
% 1.03/0.98 % (3552013)...printing done.
% 1.03/0.98 % (3552013)Refutation found. Thanks to Tanya!
% 1.03/0.98 % SZS status Theorem for theBenchmark
% 1.03/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 1.03/0.99 % (3552013)------------------------------
% 1.03/0.99 % (3552013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.99 % (3552013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.99 % (3552013)CaDiCaL version: 2.1.3
% 1.03/0.99 % (3552013)Termination reason: Refutation
% 1.03/0.99 % (3552013)Time elapsed: 0.210 s
% 1.03/0.99 % (3552013)Peak memory usage: 16 MB
% 1.03/0.99 % (3552013)Instructions burned: 209 (million)
% 1.03/0.99 % (3551992)Success in time 0.461 s
% 1.03/0.99 % Vampire exiting
%------------------------------------------------------------------------------