%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP300_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:33:32 AM UTC 2026
% Result : Theorem 8.74s 2.20s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 49 ( 7 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 54 ( 20 ~; 16 |; 17 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 96 ( 94 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 34 ( 32 usr; 1 prp; 0-4 aty)
% Number of functors : 745 ( 745 usr; 99 con; 0-7 aty)
% Number of variables : 5 ( 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'ZF_ZF_ZF_prod_fun$': $tType ).
tff(type_def_6,type,
'Nat_set_set$': $tType ).
tff(type_def_7,type,
'ZF_ZF_prod_ZF_ZF_prod_bool_fun_fun$': $tType ).
tff(type_def_8,type,
'ZF_ZF_prod_ZF_prod_bool_fun$': $tType ).
tff(type_def_9,type,
'Int_bool_fun$': $tType ).
tff(type_def_10,type,
'ZF_set$': $tType ).
tff(type_def_11,type,
'ZF_nat_set_fun$': $tType ).
tff(type_def_12,type,
'ZF_ZF_prod_ZF_ZF_prod_prod_bool_fun$': $tType ).
tff(type_def_13,type,
'Nat_set_set_ZF_set_set_fun$': $tType ).
tff(type_def_14,type,
'Nat_ZF_prod_set$': $tType ).
tff(type_def_15,type,
'ZF_ZF_prod_set$': $tType ).
tff(type_def_16,type,
'ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$': $tType ).
tff(type_def_17,type,
'ZF_ZF_prod_set_set_ZF_set_set_fun$': $tType ).
tff(type_def_18,type,
'ZF_set_set$': $tType ).
tff(type_def_19,type,
'ZF_set_ZF_set_fun$': $tType ).
tff(type_def_20,type,
'ZF_ZF_prod_ZF_ZF_prod_fun$': $tType ).
tff(type_def_21,type,
'ZF_ZF_set_fun$': $tType ).
tff(type_def_22,type,
'ZF_set_ZF_set_prod_set$': $tType ).
tff(type_def_23,type,
'ZF_ZF_prod_ZF_fun$': $tType ).
tff(type_def_24,type,
'ZF_nat_ZF_ZF_prod_set_fun_fun$': $tType ).
tff(type_def_25,type,
'Nat_set_set_nat_set_fun$': $tType ).
tff(type_def_26,type,
'ZF_ZF_ZF_prod_bool_fun_fun$': $tType ).
tff(type_def_27,type,
'ZF_ZF_set_prod_set$': $tType ).
tff(type_def_28,type,
'ZF_ZF_ZF_prod_prod_bool_fun$': $tType ).
tff(type_def_29,type,
'ZF_nat_prod_ZF_ZF_prod_set_fun$': $tType ).
tff(type_def_30,type,
'ZF_ZF_ZF_ZF_prod_fun_fun$': $tType ).
tff(type_def_31,type,
'ZF_ZF_ZF_prod_set_fun$': $tType ).
tff(type_def_32,type,
'ZF_ZF_prod_ZF_set_fun$': $tType ).
tff(type_def_33,type,
'ZF_nat_ZF_set_fun_fun$': $tType ).
tff(type_def_34,type,
'ZF_ZF_prod$': $tType ).
tff(type_def_35,type,
'ZF_ZF_set_set_fun$': $tType ).
tff(type_def_36,type,
'ZF_ZF_prod_ZF_set_set_fun$': $tType ).
tff(type_def_37,type,
'Nat_ZF_set_prod_set$': $tType ).
tff(type_def_38,type,
'ZF_ZF_prod_ZF_ZF_prod_prod_set$': $tType ).
tff(type_def_39,type,
'Nat_nat_prod_set$': $tType ).
tff(type_def_40,type,
'ZF_ZF_ZF_fun_fun$': $tType ).
tff(type_def_41,type,
'ZF_ZF_ZF_set_fun_fun$': $tType ).
tff(type_def_42,type,
'ZF_ZF_prod_ZF_ZF_prod_prod$': $tType ).
tff(type_def_43,type,
'Nat_nat_fun$': $tType ).
tff(type_def_44,type,
'ZF_set_set_set_ZF_set_set_fun$': $tType ).
tff(type_def_45,type,
'Nat$': $tType ).
tff(type_def_46,type,
'Nat_ZF_set_set_fun$': $tType ).
tff(type_def_47,type,
'Nat_set_ZF_set_set_fun$': $tType ).
tff(type_def_48,type,
'Nat_nat_prod_ZF_ZF_prod_set_fun$': $tType ).
tff(type_def_49,type,
'Nat_ZF_ZF_prod_fun$': $tType ).
tff(type_def_50,type,
'ZF_ZF_fun$': $tType ).
tff(type_def_51,type,
'ZF_ZF_prod_bool_fun$': $tType ).
tff(type_def_52,type,
'ZF_set_set_ZF_set_set_set_fun$': $tType ).
tff(type_def_53,type,
'Nat_set_ZF_set_fun$': $tType ).
tff(type_def_54,type,
'ZF_ZF_ZF_prod_prod_set$': $tType ).
tff(type_def_55,type,
'ZF_set_ZF_set_prod_bool_fun$': $tType ).
tff(type_def_56,type,
'Bool_ZF_fun$': $tType ).
tff(type_def_57,type,
'ZF_ZF_prod_set_set$': $tType ).
tff(type_def_58,type,
'Nat_ZF_set_fun$': $tType ).
tff(type_def_59,type,
tlbool: $tType ).
tff(type_def_60,type,
'ZF_nat_prod_set$': $tType ).
tff(type_def_61,type,
'ZF_set_set_ZF_set_fun$': $tType ).
tff(type_def_62,type,
'Nat_ZF_prod_ZF_ZF_prod_set_fun$': $tType ).
tff(type_def_63,type,
'ZF_set_ZF_set_set_fun$': $tType ).
tff(type_def_64,type,
'Nat_nat_set_fun$': $tType ).
tff(type_def_65,type,
'ZF_ZF_ZF_ZF_prod_set_fun_fun$': $tType ).
tff(type_def_66,type,
'Nat_nat_ZF_ZF_prod_set_fun_fun$': $tType ).
tff(type_def_67,type,
'Nat_ZF_ZF_prod_set_fun$': $tType ).
tff(type_def_68,type,
'ZF_ZF_unit_Category_ext$': $tType ).
tff(type_def_69,type,
'Nat_nat_ZF_set_fun_fun$': $tType ).
tff(type_def_70,type,
'ZF_ZF_prod_set_ZF_set_fun$': $tType ).
tff(type_def_71,type,
'Bool_bool_fun$': $tType ).
tff(type_def_72,type,
'ZF_set_ZF_prod_set$': $tType ).
tff(type_def_73,type,
'ZF_set_ZF_set_prod$': $tType ).
tff(type_def_74,type,
'ZF_set_ZF_fun$': $tType ).
tff(type_def_75,type,
'ZF_ZF_prod_set_set_ZF_set_fun$': $tType ).
tff(type_def_76,type,
'ZF_bool_fun$': $tType ).
tff(type_def_77,type,
'ZF_ZF_prod_ZF_bool_fun_fun$': $tType ).
tff(type_def_78,type,
'ZF_set_set_ZF_set_set_fun$': $tType ).
tff(type_def_79,type,
'Nat_set_set_ZF_set_set_set_fun$': $tType ).
tff(type_def_80,type,
'ZF_ZF_ZF_set_set_fun_fun$': $tType ).
tff(type_def_81,type,
'ZF_nat_fun$': $tType ).
tff(type_def_82,type,
'ZF_set_bool_fun$': $tType ).
tff(type_def_83,type,
'ZF_ZF_prod_ZF_prod_set$': $tType ).
tff(type_def_84,type,
'ZF_ZF_prod_ZF_set_prod_set$': $tType ).
tff(type_def_85,type,
'Unit$': $tType ).
tff(type_def_86,type,
'Nat_bool_fun$': $tType ).
tff(type_def_87,type,
'Bool_set$': $tType ).
tff(type_def_88,type,
'ZF$': $tType ).
tff(type_def_89,type,
'ZF_set_set_set$': $tType ).
tff(type_def_90,type,
'ZF_set_ZF_ZF_prod_fun$': $tType ).
tff(type_def_91,type,
'ZF_set_ZF_ZF_prod_set_fun$': $tType ).
tff(type_def_92,type,
'ZF_ZF_prod_set_bool_fun$': $tType ).
tff(type_def_93,type,
'Nat_set$': $tType ).
tff(type_def_94,type,
'Nat_ZF_fun$': $tType ).
tff(type_def_95,type,
'ZF_ZF_prod_ZF_ZF_prod_set_fun$': $tType ).
tff(type_def_96,type,
'Nat_ZF_ZF_ZF_prod_set_fun_fun$': $tType ).
tff(type_def_97,type,
'Nat_ZF_ZF_set_fun_fun$': $tType ).
tff(type_def_98,type,
'ZF_ZF_bool_fun_fun$': $tType ).
tff(func_def_0,type,
'ext_ZF_n$': ( 'ZF_ZF_prod_set$' * 'ZF$' ) > 'Nat_ZF_fun$' ).
tff(func_def_1,type,
'uxu$': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_set$' ) > 'ZF_bool_fun$' ).
tff(func_def_2,type,
'bind$c': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_set_fun$' ) > 'ZF_set$' ).
tff(func_def_3,type,
'uzy$': 'Nat_ZF_fun$' > 'Nat_ZF_set_fun$' ).
tff(func_def_4,type,
'uuh$': 'ZF$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_5,type,
'fun_app$as': ( 'ZF_set_ZF_ZF_prod_fun$' * 'ZF_set$' ) > 'ZF_ZF_prod$' ).
tff(func_def_6,type,
'domain$a': 'ZF_ZF_prod_set$' > 'ZF_set$' ).
tff(func_def_7,type,
'uzw$': 'ZF_ZF_fun$' > 'ZF_ZF_set_fun$' ).
tff(func_def_8,type,
'case_prod$g': 'ZF_ZF_prod_ZF_bool_fun_fun$' > 'ZF_ZF_prod_ZF_prod_bool_fun$' ).
tff(func_def_9,type,
'fun_app$b': ( 'ZF_set_ZF_set_fun$' * 'ZF_set$' ) > 'ZF_set$' ).
tff(func_def_10,type,
'fun_app$h': ( 'ZF_ZF_bool_fun_fun$' * 'ZF$' ) > 'ZF_bool_fun$' ).
tff(func_def_11,type,
'uzd$': ( 'ZF_ZF_prod$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_12,type,
'comp$f': ( 'ZF_set_set_ZF_set_fun$' * 'ZF_ZF_prod_set_set_ZF_set_set_fun$' ) > 'ZF_ZF_prod_set_set_ZF_set_fun$' ).
tff(func_def_13,type,
'uut$': 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_14,type,
'fun_app$ai': ( 'Nat_nat_ZF_set_fun_fun$' * 'Nat$' ) > 'Nat_ZF_set_fun$' ).
tff(func_def_15,type,
'uyo$': 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_16,type,
'uzp$': ( 'ZF_bool_fun$' * 'ZF_ZF_ZF_fun_fun$' ) > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_17,type,
'sigma$k': ( 'Nat_set$' * 'Nat_nat_set_fun$' ) > 'Nat_nat_prod_set$' ).
tff(func_def_18,type,
'trancl$': 'ZF_ZF_prod_set$' > 'ZF_ZF_prod_set$' ).
tff(func_def_19,type,
'eps$a': 'ZF_ZF_prod_bool_fun$' > 'ZF_ZF_prod$' ).
tff(func_def_20,type,
'uwa$': 'Nat_bool_fun$' ).
tff(func_def_21,type,
'sigma$a': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_ZF_prod_set_fun$' ) > 'ZF_ZF_prod_ZF_ZF_prod_prod_set$' ).
tff(func_def_22,type,
'eps$b': 'ZF_set_bool_fun$' > 'ZF_set$' ).
tff(func_def_23,type,
'uze$': ( 'ZF$' * 'ZF_bool_fun$' ) > 'ZF_bool_fun$' ).
tff(func_def_24,type,
'uuq$': ( 'ZF_set_set$' * 'ZF_set_bool_fun$' ) > 'ZF_set_bool_fun$' ).
tff(func_def_25,type,
'collect$': 'ZF_ZF_prod_bool_fun$' > 'ZF_ZF_prod_set$' ).
tff(func_def_26,type,
'bot$a': 'ZF_ZF_prod_set$' ).
tff(func_def_27,type,
'rec_set_unit$': ( 'ZF$' * 'Unit$' ) > 'ZF_bool_fun$' ).
tff(func_def_28,type,
'relImage$b': ( 'Nat_nat_prod_set$' * 'Nat_ZF_set_fun$' ) > 'ZF_set_ZF_set_prod_set$' ).
tff(func_def_29,type,
'case_prod$d': 'ZF_ZF_ZF_ZF_prod_set_fun_fun$' > 'ZF_ZF_prod_ZF_ZF_prod_set_fun$' ).
tff(func_def_30,type,
'uwo$': ( 'Nat_ZF_set_fun$' * 'Nat_set$' * 'ZF_set_bool_fun$' ) > 'ZF_set_bool_fun$' ).
tff(func_def_31,type,
'uxn$': ( 'Nat_ZF_set_fun$' * 'Nat_nat_fun$' ) > 'Nat_ZF_set_fun$' ).
tff(func_def_32,type,
'case_nat$': ( tlbool * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_33,type,
'image$d': 'ZF_ZF_fun$' > 'ZF_set_ZF_set_fun$' ).
tff(func_def_34,type,
'least$c': 'ZF_set_bool_fun$' > 'ZF_set$' ).
tff(func_def_35,type,
'less_eq$a': 'ZF_set$' > 'ZF_set_bool_fun$' ).
tff(func_def_36,type,
'var$': ( 'ZF_ZF_set_fun$' * 'Nat_ZF_set_fun$' ) > 'ZF_nat_ZF_ZF_prod_set_fun_fun$' ).
tff(func_def_37,type,
'vbk$': 'ZF_nat_ZF_set_fun_fun$' > 'Nat_ZF_ZF_set_fun_fun$' ).
tff(func_def_38,type,
'fun_app$d': ( 'Nat_ZF_fun$' * 'Nat$' ) > 'ZF$' ).
tff(func_def_39,type,
'case_prod$': 'ZF_ZF_ZF_fun_fun$' > 'ZF_ZF_prod_ZF_fun$' ).
tff(func_def_40,type,
'field$': 'ZF_ZF_fun$' ).
tff(func_def_41,type,
'least$b': 'ZF_ZF_prod_set_bool_fun$' > 'ZF_ZF_prod_set$' ).
tff(func_def_42,type,
'fun_app$av': ( 'ZF_nat_ZF_ZF_prod_set_fun_fun$' * 'ZF$' ) > 'Nat_ZF_ZF_prod_set_fun$' ).
tff(func_def_43,type,
'rec_unit$': ( 'ZF$' * 'Unit$' ) > 'ZF$' ).
tff(func_def_44,type,
'fun_app$i': ( 'ZF_ZF_ZF_prod_set_fun$' * 'ZF$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_45,type,
'pair$': 'ZF_ZF_ZF_ZF_prod_fun_fun$' ).
tff(func_def_46,type,
'vag$': ( 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_47,type,
'uua$': 'ZF_set$' > 'ZF_bool_fun$' ).
tff(func_def_48,type,
'product$a': 'ZF_set$' > 'ZF_set_ZF_ZF_prod_set_fun$' ).
tff(func_def_49,type,
'upair$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_50,type,
'top$': 'ZF_set$' ).
tff(func_def_51,type,
'uwt$': ( 'ZF_ZF_set_fun$' * 'ZF_set$' * 'ZF_set_bool_fun$' ) > 'ZF_bool_fun$' ).
tff(func_def_52,type,
'uwm$': ( 'ZF_ZF_fun$' * 'ZF_set$' ) > 'ZF_ZF_set_fun$' ).
tff(func_def_53,type,
'fun_app$ak': ( 'Nat_ZF_ZF_prod_set_fun$' * 'Nat$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_54,type,
'uwr$': ( 'ZF_set_ZF_set_fun$' * 'ZF_set_set$' * 'ZF_set_bool_fun$' ) > 'ZF_set_bool_fun$' ).
tff(func_def_55,type,
'uu$': 'ZF_set_set$' > 'ZF_set_bool_fun$' ).
tff(func_def_56,type,
'uxb$': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_set$' * 'ZF_bool_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_57,type,
'uuw$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_58,type,
'category_ext$': ( 'ZF_set$' * 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF_ZF_ZF_fun_fun$' * 'Unit$' ) > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_59,type,
'case_prod$i': 'ZF_nat_ZF_ZF_prod_set_fun_fun$' > 'ZF_nat_prod_ZF_ZF_prod_set_fun$' ).
tff(func_def_60,type,
'uwx$': ( 'ZF_set_ZF_fun$' * 'ZF_set_set$' * 'ZF_bool_fun$' ) > 'ZF_set_bool_fun$' ).
tff(func_def_61,type,
'vbm$': ( 'Nat_ZF_ZF_set_fun_fun$' * 'ZF_set$' ) > 'Nat_ZF_set_fun$' ).
tff(func_def_62,type,
def_3: ( 'ZF_ZF_bool_fun_fun$' * 'ZF$' * 'ZF$' ) > tlbool ).
tff(func_def_63,type,
'image$h': ( 'ZF_set_ZF_ZF_prod_fun$' * 'ZF_set_set$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_64,type,
'top$b': 'ZF_ZF_prod_set$' ).
tff(func_def_65,type,
'uys$': 'ZF_ZF_fun$' > 'ZF_bool_fun$' ).
tff(func_def_66,type,
'uwc$': 'ZF_ZF_prod_set$' > 'ZF_ZF_prod_ZF_ZF_prod_set_fun$' ).
tff(func_def_67,type,
'fun_app$w': ( 'ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$' * 'ZF_ZF_prod_set_set$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_68,type,
'fun_app$ad': ( 'ZF_ZF_ZF_prod_bool_fun_fun$' * 'ZF$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_69,type,
'case_prod$b': 'ZF_ZF_ZF_ZF_prod_fun_fun$' > 'ZF_ZF_prod_ZF_ZF_prod_fun$' ).
tff(func_def_70,type,
'vba$': ( 'Nat_ZF_set_fun$' * 'ZF_nat_set_fun$' ) > 'ZF_ZF_set_fun$' ).
tff(func_def_71,type,
'uzv$': 'Nat_ZF_set_fun$' > 'Nat_ZF_set_set_fun$' ).
tff(func_def_72,type,
'bot$': 'ZF_set$' ).
tff(func_def_73,type,
'bind$b': ( 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF_set$' ).
tff(func_def_74,type,
'less_eq$b': 'Nat$' > 'Nat_bool_fun$' ).
tff(func_def_75,type,
'image$n': ( 'Nat_ZF_ZF_prod_fun$' * 'Nat_set$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_76,type,
'uzu$': 'ZF_ZF_set_fun$' > 'ZF_ZF_set_set_fun$' ).
tff(func_def_77,type,
'top$e': 'Nat_nat_prod_set$' ).
tff(func_def_78,type,
'top$d': 'Nat_ZF_prod_set$' ).
tff(func_def_79,type,
'uue$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_80,type,
'uwk$': ( 'ZF_ZF_set_fun$' * 'ZF_set$' ) > 'ZF_set_ZF_set_set_fun$' ).
tff(func_def_81,type,
'case_prod$c': 'ZF_ZF_ZF_set_fun_fun$' > 'ZF_ZF_prod_ZF_set_fun$' ).
tff(func_def_82,type,
'uxe$': ( 'ZF_ZF_ZF_prod_fun$' * 'ZF_set$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_83,type,
'pFun$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_84,type,
'vbo$': ( 'Nat_ZF_ZF_set_fun_fun$' * 'Nat_set$' ) > 'ZF_ZF_set_fun$' ).
tff(func_def_85,type,
'uwu$': ( 'ZF_ZF_prod_ZF_set_fun$' * 'ZF_ZF_prod_set$' * 'ZF_set_bool_fun$' ) > 'ZF_set_bool_fun$' ).
tff(func_def_86,type,
'image$u': 'ZF_set_ZF_set_set_fun$' > 'ZF_set_set_ZF_set_set_set_fun$' ).
tff(func_def_87,type,
'rec_bool$': ( 'ZF$' * 'ZF$' ) > 'Bool_ZF_fun$' ).
tff(func_def_88,type,
'vai$': 'ZF_set_ZF_set_fun$' ).
tff(func_def_89,type,
'uyh$': tlbool > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_90,type,
'gr$': ( 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF_ZF_set_prod_set$' ).
tff(func_def_91,type,
'uvm$': 'ZF_ZF_prod_set$' > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_92,type,
'fun_app$ah': ( 'ZF_nat_ZF_set_fun_fun$' * 'ZF$' ) > 'Nat_ZF_set_fun$' ).
tff(func_def_93,type,
'case_prod$f': 'ZF_ZF_ZF_prod_bool_fun_fun$' > 'ZF_ZF_ZF_prod_prod_bool_fun$' ).
tff(func_def_94,type,
'case_prod$a': 'ZF_ZF_bool_fun_fun$' > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_95,type,
'sigma$': ( 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_96,type,
'image$k': ( 'Nat_ZF_fun$' * 'Nat_set$' ) > 'ZF_set$' ).
tff(func_def_97,type,
'uvl$': 'ZF_ZF_prod_set$' > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_98,type,
'image$q': ( 'Nat_ZF_set_set_fun$' * 'Nat_set$' ) > 'ZF_set_set_set$' ).
tff(func_def_99,type,
'uza$': 'ZF_ZF_prod_ZF_ZF_prod_bool_fun_fun$' ).
tff(func_def_100,type,
'uzm$': ( 'ZF$' * 'ZF_set$' ) > 'ZF_bool_fun$' ).
tff(func_def_101,type,
'singleton$': 'ZF_ZF_fun$' ).
tff(func_def_102,type,
'uxm$': ( 'Nat_ZF_set_fun$' * 'ZF_nat_fun$' ) > 'ZF_ZF_set_fun$' ).
tff(func_def_103,type,
'vaf$': 'ZF_ZF_prod_bool_fun$' > 'ZF_ZF_prod_ZF_ZF_prod_set_fun$' ).
tff(func_def_104,type,
'uvx$': 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_105,type,
'seqSum$': 'Nat_ZF_fun$' > 'ZF$' ).
tff(func_def_106,type,
'fun_app$at': ( 'ZF_set_set_ZF_set_set_fun$' * 'ZF_set_set$' ) > 'ZF_set_set$' ).
tff(func_def_107,type,
'vce$': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_ZF_prod_set_fun$' ) > 'ZF_ZF_set_fun$' ).
tff(func_def_108,type,
'uzt$': 'ZF_set$' > 'ZF_bool_fun$' ).
tff(func_def_109,type,
'sum$': 'ZF_ZF_fun$' ).
tff(func_def_110,type,
'image$a': 'ZF_ZF_set_fun$' > 'ZF_set_ZF_set_set_fun$' ).
tff(func_def_111,type,
'the$d': 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_112,type,
'vby$': ( 'ZF_bool_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_113,type,
'uyu$': 'Nat_ZF_set_fun$' > 'ZF_set_bool_fun$' ).
tff(func_def_114,type,
'vcg$': ( 'ZF_ZF_set_fun$' * 'ZF_ZF_set_fun$' ) > 'ZF_ZF_set_set_fun$' ).
tff(func_def_115,type,
def_7: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_prod$' ) > tlbool ).
tff(func_def_116,type,
'vay$': 'Nat_set$' > 'Nat_nat_set_fun$' ).
tff(func_def_117,type,
'nat2nat$': 'ZF_nat_fun$' ).
tff(func_def_118,type,
'uva$': ( 'ZF_ZF_bool_fun_fun$' * 'ZF_bool_fun$' ) > 'ZF_bool_fun$' ).
tff(func_def_119,type,
'comp$e': ( 'ZF_set_ZF_set_set_fun$' * 'ZF_set_set_ZF_set_fun$' ) > 'ZF_set_set_ZF_set_set_fun$' ).
tff(func_def_120,type,
'collect$e': 'Nat_bool_fun$' > 'Nat_set$' ).
tff(func_def_121,type,
'vci$': ( 'ZF_ZF_fun$' * 'ZF_ZF_set_fun$' ) > 'ZF_ZF_set_fun$' ).
tff(func_def_122,type,
'app$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_123,type,
'uzf$': ( 'ZF_ZF_prod$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_124,type,
'set$': 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_125,type,
'natInterval$': 'Nat$' > 'Nat_ZF_fun$' ).
tff(func_def_126,type,
'image2$': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_ZF_fun$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_127,type,
'uvd$': 'ZF_set_bool_fun$' > 'ZF_set_bool_fun$' ).
tff(func_def_128,type,
'fun_app$o': ( 'ZF_ZF_prod_ZF_set_fun$' * 'ZF_ZF_prod$' ) > 'ZF_set$' ).
tff(func_def_129,type,
'sigma$e': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_set_set_fun$' ) > 'ZF_ZF_prod_ZF_set_prod_set$' ).
tff(func_def_130,type,
'image$': ( 'ZF_ZF_ZF_prod_set_fun$' * 'ZF_set$' ) > 'ZF_ZF_prod_set_set$' ).
tff(func_def_131,type,
'vcd$': ( 'ZF_ZF_set_fun$' * 'ZF_ZF_prod_ZF_fun$' ) > 'ZF_ZF_prod_ZF_set_fun$' ).
tff(func_def_132,type,
'gr$b': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_fun$' ) > 'ZF_ZF_prod_ZF_prod_set$' ).
tff(func_def_133,type,
'uxg$': ( 'ZF_ZF_prod_ZF_ZF_prod_fun$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_134,type,
'unity$': 'Unit$' ).
tff(func_def_135,type,
'relInvImage$b': ( 'ZF_set$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_136,type,
'vbq$': 'Nat_nat_ZF_set_fun_fun$' > 'Nat_nat_ZF_set_fun_fun$' ).
tff(func_def_137,type,
'vcb$': 'ZF_ZF_set_fun$' > 'ZF_ZF_ZF_prod_set_fun$' ).
tff(func_def_138,type,
'uus$': 'ZF_bool_fun$' ).
tff(func_def_139,type,
'vau$': 'ZF_ZF_set_fun$' > 'ZF_ZF_ZF_set_fun_fun$' ).
tff(func_def_140,type,
'fun_app$z': ( 'Nat_set_ZF_set_fun$' * 'Nat_set$' ) > 'ZF_set$' ).
tff(func_def_141,type,
'uyc$': ( 'ZF_ZF_fun$' * 'ZF_bool_fun$' ) > 'ZF_bool_fun$' ).
tff(func_def_142,type,
'uxz$': ( 'ZF_set_ZF_ZF_prod_fun$' * 'ZF_set_set$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_143,type,
'collect$c': 'ZF_ZF_prod_ZF_ZF_prod_prod_bool_fun$' > 'ZF_ZF_prod_ZF_ZF_prod_prod_set$' ).
tff(func_def_144,type,
'image$c': 'ZF_ZF_prod_ZF_fun$' > 'ZF_ZF_prod_set_ZF_set_fun$' ).
tff(func_def_145,type,
'uwg$': 'ZF_ZF_prod_set$' > 'ZF_bool_fun$' ).
tff(func_def_146,type,
'fun_app$aw': ( 'Nat_nat_ZF_ZF_prod_set_fun_fun$' * 'Nat$' ) > 'Nat_ZF_ZF_prod_set_fun$' ).
tff(func_def_147,type,
'uzn$': ( 'ZF_ZF_prod$' * 'ZF_ZF_prod_set$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_148,type,
'empty$': 'ZF$' ).
tff(func_def_149,type,
'uzj$': ( 'ZF$' * 'ZF_bool_fun$' ) > 'ZF_bool_fun$' ).
tff(func_def_150,type,
'vbf$': 'ZF_ZF_set_fun$' > 'ZF_set_ZF_set_fun$' ).
tff(func_def_151,type,
'uxt$': ( 'ZF_ZF_set_fun$' * 'ZF_set$' ) > 'ZF_set_bool_fun$' ).
tff(func_def_152,type,
'image$m': ( 'Nat_nat_fun$' * 'Nat_set$' ) > 'Nat_set$' ).
tff(func_def_153,type,
'pair$b': ( 'ZF_set$' * 'ZF_set$' ) > 'ZF_set_ZF_set_prod$' ).
tff(func_def_154,type,
'fun_app$a': ( 'ZF_ZF_set_fun$' * 'ZF$' ) > 'ZF_set$' ).
tff(func_def_155,type,
'uyj$': tlbool > 'Nat_bool_fun$' ).
tff(func_def_156,type,
'repl$': ( 'ZF$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_157,type,
def_10: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_prod$' ) > tlbool ).
tff(func_def_158,type,
'uuo$': 'ZF_bool_fun$' > 'ZF_bool_fun$' ).
tff(func_def_159,type,
'uun$': ( tlbool * 'ZF$' ) > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_160,type,
'vch$': ( 'ZF_ZF_set_fun$' * 'Nat_ZF_set_fun$' ) > 'Nat_ZF_set_set_fun$' ).
tff(func_def_161,type,
'fun_app$t': ( 'ZF_ZF_ZF_fun_fun$' * 'ZF$' ) > 'ZF_ZF_fun$' ).
tff(func_def_162,type,
'uwj$': 'ZF_set_set$' > 'ZF_ZF_set_set_fun$' ).
tff(func_def_163,type,
'of_nat$': 'Nat$' > $int ).
tff(func_def_164,type,
'sigma$h': ( 'Nat_set$' * 'Nat_ZF_set_set_fun$' ) > 'Nat_ZF_set_prod_set$' ).
tff(func_def_165,type,
'vat$': ( 'Nat_ZF_set_fun$' * 'Nat_set$' ) > 'ZF_ZF_set_fun$' ).
tff(func_def_166,type,
'relImage$c': ( 'ZF_ZF_prod_ZF_ZF_prod_prod_set$' * 'ZF_ZF_prod_ZF_fun$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_167,type,
'vam$': 'ZF_ZF_set_fun$' ).
tff(func_def_168,type,
'uxx$': ( 'ZF_ZF_prod_ZF_ZF_prod_fun$' * 'ZF_ZF_prod_set$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_169,type,
'vae$': ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod_ZF_ZF_prod_bool_fun_fun$' ).
tff(func_def_170,type,
'uwf$': 'ZF_set$' > 'ZF_ZF_set_fun$' ).
tff(func_def_171,type,
'vaj$': 'ZF_ZF_bool_fun_fun$' > 'ZF_bool_fun$' ).
tff(func_def_172,type,
'uxl$': ( 'ZF_ZF_set_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_set_fun$' ).
tff(func_def_173,type,
'uxc$': ( 'ZF_set_ZF_ZF_prod_fun$' * 'ZF_set_set$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_174,type,
'uxy$': ( 'ZF_ZF_ZF_prod_fun$' * 'ZF_set$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_175,type,
'image$w': ( 'Nat_ZF_prod_ZF_ZF_prod_set_fun$' * 'Nat_ZF_prod_set$' ) > 'ZF_ZF_prod_set_set$' ).
tff(func_def_176,type,
'zFfun$': ( 'ZF$' * 'ZF$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_177,type,
'image$z': ( 'Nat_nat_set_fun$' * 'Nat_set$' ) > 'Nat_set_set$' ).
tff(func_def_178,type,
'fun_app$ax': ( 'Bool_ZF_fun$' * tlbool ) > 'ZF$' ).
tff(func_def_179,type,
'gr$a': ( 'Nat_set$' * 'Nat_ZF_set_fun$' ) > 'Nat_ZF_set_prod_set$' ).
tff(func_def_180,type,
'uvu$': ( 'ZF_set_set$' * 'ZF_ZF_prod_set$' * 'ZF_set_ZF_fun$' ) > 'ZF_set_ZF_set_prod_bool_fun$' ).
tff(func_def_181,type,
'collect$f': 'ZF_ZF_ZF_prod_prod_bool_fun$' > 'ZF_ZF_ZF_prod_prod_set$' ).
tff(func_def_182,type,
'uxi$': ( 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_183,type,
'uym$': 'Nat_ZF_set_fun$' ).
tff(func_def_184,type,
'uzc$': 'ZF_set$' > 'Nat_ZF_set_fun$' ).
tff(func_def_185,type,
'uya$': ( 'Nat_ZF_set_fun$' * 'Nat_bool_fun$' ) > 'ZF_set_bool_fun$' ).
tff(func_def_186,type,
'uwz$': ( 'ZF_ZF_fun$' * 'ZF_set$' * 'ZF_bool_fun$' ) > 'ZF_bool_fun$' ).
tff(func_def_187,type,
'relImage$': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_188,type,
'uxw$': ( 'ZF_set_ZF_fun$' * 'ZF_set_set$' ) > 'ZF_bool_fun$' ).
tff(func_def_189,type,
'specialR$': 'ZF_ZF_prod_set$' ).
tff(func_def_190,type,
'comp$c': ( 'Nat_set_ZF_set_set_fun$' * 'Nat_set_set_nat_set_fun$' ) > 'Nat_set_set_ZF_set_set_fun$' ).
tff(func_def_191,type,
'collect$a': 'ZF_bool_fun$' > 'ZF_set$' ).
tff(func_def_192,type,
'vbd$': ( 'ZF_ZF_set_fun$' * 'Nat_ZF_set_fun$' ) > 'Nat_ZF_set_fun$' ).
tff(func_def_193,type,
'fun_app$y': ( 'ZF_set_ZF_set_set_fun$' * 'ZF_set$' ) > 'ZF_set_set$' ).
tff(func_def_194,type,
'image$x': ( 'Nat_nat_prod_ZF_ZF_prod_set_fun$' * 'Nat_nat_prod_set$' ) > 'ZF_ZF_prod_set_set$' ).
tff(func_def_195,type,
'relInvImage$a': ( 'ZF_set_set$' * 'ZF_ZF_prod_set$' * 'ZF_set_ZF_fun$' ) > 'ZF_set_ZF_set_prod_set$' ).
tff(func_def_196,type,
'universe$': 'ZF_bool_fun$' ).
tff(func_def_197,type,
'comp$a': ( 'Nat_ZF_fun$' * 'ZF_nat_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_198,type,
'zFfunCod$': 'ZF_ZF_fun$' ).
tff(func_def_199,type,
'pair$a': ( 'ZF_ZF_prod$' * 'ZF_ZF_prod$' ) > 'ZF_ZF_prod_ZF_ZF_prod_prod$' ).
tff(func_def_200,type,
'image$o': ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod_set$' ) > 'Bool_set$' ).
tff(func_def_201,type,
'uug$': 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_202,type,
'fun_app$ap': ( 'ZF_nat_set_fun$' * 'ZF$' ) > 'Nat_set$' ).
tff(func_def_203,type,
'image$f': ( 'ZF_ZF_prod_ZF_set_fun$' * 'ZF_ZF_prod_set$' ) > 'ZF_set_set$' ).
tff(func_def_204,type,
'fun_app$u': ( 'ZF_set_ZF_ZF_prod_set_fun$' * 'ZF_set$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_205,type,
def_1: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_206,type,
'comp$i': ( 'ZF_set_ZF_set_fun$' * 'ZF_set_set_ZF_set_fun$' ) > 'ZF_set_set_ZF_set_fun$' ).
tff(func_def_207,type,
'uvs$': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_208,type,
'image$r': ( 'ZF_ZF_prod_ZF_ZF_prod_set_fun$' * 'ZF_ZF_prod_set$' ) > 'ZF_ZF_prod_set_set$' ).
tff(func_def_209,type,
'insert$': 'ZF$' > 'ZF_set_ZF_set_fun$' ).
tff(func_def_210,type,
'snd$': 'ZF_ZF_fun$' ).
tff(func_def_211,type,
'uyw$': 'Nat_ZF_ZF_prod_fun$' > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_212,type,
'uzs$': 'ZF$' > 'ZF_set_ZF_fun$' ).
tff(func_def_213,type,
'bot$d': 'ZF_set_ZF_prod_set$' ).
tff(func_def_214,type,
'fun_app$p': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod$' ) > 'ZF$' ).
tff(func_def_215,type,
'uvf$': 'Int_bool_fun$' > 'Int_bool_fun$' ).
tff(func_def_216,type,
'uwh$': 'ZF_ZF_set_fun$' ).
tff(func_def_217,type,
'set$a': 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_218,type,
'uwe$': 'ZF_ZF_prod_set$' > 'ZF_ZF_ZF_prod_set_fun$' ).
tff(func_def_219,type,
'uvw$': 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_220,type,
'uwn$': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_set$' ) > 'ZF_ZF_set_fun$' ).
tff(func_def_221,type,
'subsetFn$': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_set$' ) > 'ZF_ZF_prod_ZF_ZF_prod_fun$' ).
tff(func_def_222,type,
'fun_app$f': ( 'ZF_ZF_ZF_prod_fun$' * 'ZF$' ) > 'ZF_ZF_prod$' ).
tff(func_def_223,type,
'uzi$': 'ZF_ZF_prod_bool_fun$' > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_224,type,
tltrue: tlbool ).
tff(func_def_225,type,
'uyy$': 'ZF_ZF_ZF_set_fun_fun$' ).
tff(func_def_226,type,
'uvz$': ( 'Bool_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_227,type,
'vcc$': 'ZF_ZF_ZF_ZF_prod_fun_fun$' ).
tff(func_def_228,type,
'uxd$': ( 'ZF_set_ZF_ZF_prod_fun$' * 'ZF_set_set$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_set_bool_fun$' ).
tff(func_def_229,type,
'sup$d': 'ZF_set$' > 'ZF_set_ZF_set_fun$' ).
tff(func_def_230,type,
'vbr$': ( 'Nat_nat_ZF_set_fun_fun$' * 'Nat_set$' ) > 'Nat_ZF_set_fun$' ).
tff(func_def_231,type,
'ext_ZF$': 'ZF_ZF_prod_set$' > 'ZF_ZF_fun$' ).
tff(func_def_232,type,
'is_Elem_of$': 'ZF_ZF_prod_set$' ).
tff(func_def_233,type,
'uvc$': 'ZF_ZF_prod_set_bool_fun$' > 'ZF_ZF_prod_set_bool_fun$' ).
tff(func_def_234,type,
'image$ac': 'ZF_ZF_prod_set_ZF_set_fun$' > 'ZF_ZF_prod_set_set_ZF_set_set_fun$' ).
tff(func_def_235,type,
'member$a': 'ZF$' > 'ZF_set_bool_fun$' ).
tff(func_def_236,type,
'image$aa': ( 'Nat_set_ZF_set_fun$' * 'Nat_set_set$' ) > 'ZF_set_set$' ).
tff(func_def_237,type,
'comp$': ( 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_238,type,
'uub$': 'ZF_ZF_prod_set$' > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_239,type,
'uyk$': 'ZF_ZF_set_fun$' ).
tff(func_def_240,type,
'f$': 'ZF$' ).
tff(func_def_241,type,
'sup$a': 'ZF_set_set_ZF_set_fun$' ).
tff(func_def_242,type,
'uyr$': 'ZF_ZF_set_fun$' > 'ZF_set_bool_fun$' ).
tff(func_def_243,type,
'fun_app$j': ( 'ZF_ZF_ZF_ZF_prod_set_fun_fun$' * 'ZF$' ) > 'ZF_ZF_ZF_prod_set_fun$' ).
tff(func_def_244,type,
'uxh$': ( 'ZF_ZF_prod_ZF_ZF_prod_fun$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_245,type,
'greatest$': 'Int_bool_fun$' > $int ).
tff(func_def_246,type,
'vbe$': 'Nat_ZF_set_fun$' > 'Nat_set_ZF_set_fun$' ).
tff(func_def_247,type,
'uuy$': 'ZF_bool_fun$' ).
tff(func_def_248,type,
'image$p': ( 'ZF_ZF_set_set_fun$' * 'ZF_set$' ) > 'ZF_set_set_set$' ).
tff(func_def_249,type,
'greatest$b': 'ZF_set_bool_fun$' > 'ZF_set$' ).
tff(func_def_250,type,
'image$g': 'ZF_ZF_ZF_prod_fun$' > 'ZF_set_ZF_ZF_prod_set_fun$' ).
tff(func_def_251,type,
'vao$': ( 'ZF$' * 'ZF_ZF_set_fun$' ) > 'ZF_ZF_set_fun$' ).
tff(func_def_252,type,
'sup$b': 'ZF_set_set_set_ZF_set_set_fun$' ).
tff(func_def_253,type,
'insert$a': ( 'ZF_ZF_prod$' * 'ZF_ZF_prod_set$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_254,type,
'the$e': 'ZF_ZF_prod_bool_fun$' > 'ZF_ZF_prod$' ).
tff(func_def_255,type,
'uww$': ( 'ZF_set_ZF_fun$' * 'ZF_set_set$' * 'ZF_bool_fun$' ) > 'ZF_bool_fun$' ).
tff(func_def_256,type,
'vac$': ( 'ZF_ZF_prod_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF_ZF_prod_ZF_bool_fun_fun$' ).
tff(func_def_257,type,
'sup$c': 'Nat_set_set_nat_set_fun$' ).
tff(func_def_258,type,
'zFTThd$': 'ZF_ZF_fun$' ).
tff(func_def_259,type,
'vbx$': 'ZF_ZF_prod_ZF_ZF_prod_bool_fun_fun$' > 'ZF_ZF_prod_ZF_ZF_prod_set_fun$' ).
tff(func_def_260,type,
'vbu$': ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod_ZF_bool_fun_fun$' ) > 'ZF_ZF_prod_ZF_bool_fun_fun$' ).
tff(func_def_261,type,
'image$s': ( 'ZF_ZF_prod_ZF_set_set_fun$' * 'ZF_ZF_prod_set$' ) > 'ZF_set_set_set$' ).
tff(func_def_262,type,
'vaz$': ( 'ZF_ZF_set_fun$' * 'ZF_ZF_set_fun$' ) > 'ZF_ZF_ZF_ZF_prod_set_fun_fun$' ).
tff(func_def_263,type,
'zFfunComp$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_264,type,
'vbg$': ( 'ZF_ZF_ZF_set_fun_fun$' * 'ZF_set$' ) > 'ZF_ZF_set_fun$' ).
tff(func_def_265,type,
'uyd$': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_bool_fun$' ).
tff(func_def_266,type,
'the$': 'ZF_bool_fun$' > 'ZF$' ).
tff(func_def_267,type,
'case_prod$e': 'ZF_ZF_ZF_set_set_fun_fun$' > 'ZF_ZF_prod_ZF_set_set_fun$' ).
tff(func_def_268,type,
'subset$': 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_269,type,
'relInvImage$d': ( 'Nat_set$' * 'ZF_set_ZF_set_prod_set$' * 'Nat_ZF_set_fun$' ) > 'Nat_nat_prod_set$' ).
tff(func_def_270,type,
'uwy$': ( 'ZF_ZF_fun$' * 'ZF_set$' * 'ZF_bool_fun$' ) > 'ZF_bool_fun$' ).
tff(func_def_271,type,
'fun_app$x': ( 'ZF_set_set_ZF_set_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).
tff(func_def_272,type,
'rec_set_bool$': ( 'ZF$' * 'ZF$' * tlbool ) > 'ZF_bool_fun$' ).
tff(func_def_273,type,
'image$b': 'Nat_ZF_set_fun$' > 'Nat_set_ZF_set_set_fun$' ).
tff(func_def_274,type,
'bot$b': 'ZF_set_set$' ).
tff(func_def_275,type,
'fun_app$ag': ( 'Nat_ZF_ZF_set_fun_fun$' * 'Nat$' ) > 'ZF_ZF_set_fun$' ).
tff(func_def_276,type,
'fun_app$bd': ( 'ZF_set_set_ZF_set_set_set_fun$' * 'ZF_set_set$' ) > 'ZF_set_set_set$' ).
tff(func_def_277,type,
'ext_ZF_hull$': 'ZF_ZF_prod_set$' > 'ZF_ZF_fun$' ).
tff(func_def_278,type,
'uvq$': ( 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_279,type,
'uzr$': ( 'Bool_bool_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_280,type,
'uuz$': 'ZF_ZF_fun$' ).
tff(func_def_281,type,
'uwq$': ( 'ZF_set_ZF_set_fun$' * 'ZF_set_set$' * 'ZF_set_bool_fun$' ) > 'ZF_set_bool_fun$' ).
tff(func_def_282,type,
'fst$': 'ZF_ZF_fun$' ).
tff(func_def_283,type,
'ext$': 'ZF_ZF_prod_set$' > 'ZF_ZF_set_fun$' ).
tff(func_def_284,type,
'gr$c': ( 'ZF_set$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_285,type,
'uvv$': ( 'ZF_set$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_286,type,
'vaq$': 'Nat_ZF_set_fun$' > 'Nat_ZF_ZF_set_fun_fun$' ).
tff(func_def_287,type,
'uxa$': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_set$' * 'ZF_bool_fun$' ) > 'ZF_bool_fun$' ).
tff(func_def_288,type,
'least$a': 'Int_bool_fun$' > $int ).
tff(func_def_289,type,
'set_like$': 'ZF_ZF_prod_set_bool_fun$' ).
tff(func_def_290,type,
'uxs$': ( 'Nat_ZF_set_fun$' * 'Nat_set$' ) > 'ZF_set_bool_fun$' ).
tff(func_def_291,type,
'bot$c': 'ZF_ZF_prod_ZF_prod_set$' ).
tff(func_def_292,type,
'uwp$': ( 'Nat_ZF_set_fun$' * 'Nat_set$' * 'ZF_set_bool_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_293,type,
'nat2Nat$': 'Nat_ZF_fun$' ).
tff(func_def_294,type,
'comp$b': ( 'ZF_set_set_set_ZF_set_set_fun$' * 'Nat_set_set_ZF_set_set_set_fun$' ) > 'Nat_set_set_ZF_set_set_fun$' ).
tff(func_def_295,type,
'uxv$': ( 'ZF_ZF_fun$' * 'ZF_set$' ) > 'ZF_bool_fun$' ).
tff(func_def_296,type,
'uxq$': ( 'ZF_ZF_fun$' * 'ZF_ZF_prod_ZF_fun$' ) > 'ZF_ZF_prod_ZF_fun$' ).
tff(func_def_297,type,
'uwl$': ( 'Nat_ZF_set_fun$' * 'Nat_set$' ) > 'ZF_set_ZF_set_set_fun$' ).
tff(func_def_298,type,
'uux$': 'ZF$' > 'Nat_ZF_fun$' ).
tff(func_def_299,type,
'fun_app$ao': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_300,type,
'fun_app$q': ( 'ZF_ZF_set_set_fun$' * 'ZF$' ) > 'ZF_set_set$' ).
tff(func_def_301,type,
'sigma$c': ( 'ZF_set$' * 'ZF_ZF_ZF_prod_set_fun$' ) > 'ZF_ZF_ZF_prod_prod_set$' ).
tff(func_def_302,type,
'zFTFst$': 'ZF_ZF_fun$' ).
tff(func_def_303,type,
'image$e': ( 'ZF_ZF_prod_ZF_ZF_prod_fun$' * 'ZF_ZF_prod_set$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_304,type,
'union$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_305,type,
'vav$': ( 'Nat_ZF_set_fun$' * 'ZF_ZF_set_fun$' ) > 'Nat_ZF_ZF_ZF_prod_set_fun_fun$' ).
tff(func_def_306,type,
'uve$': 'Nat_bool_fun$' > 'Nat_bool_fun$' ).
tff(func_def_307,type,
'vcf$': ( 'ZF_ZF_prod_ZF_fun$' * 'Nat_ZF_ZF_prod_set_fun$' ) > 'Nat_ZF_set_fun$' ).
tff(func_def_308,type,
def_6: ( 'ZF$' * 'ZF$' * 'ZF_ZF_bool_fun_fun$' ) > tlbool ).
tff(func_def_309,type,
def_9: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_prod$' ) > tlbool ).
tff(func_def_310,type,
'fun_app$aa': ( 'Nat_set_ZF_set_set_fun$' * 'Nat_set$' ) > 'ZF_set_set$' ).
tff(func_def_311,type,
'uwv$': ( 'ZF_ZF_prod_ZF_set_fun$' * 'ZF_ZF_prod_set$' * 'ZF_set_bool_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_312,type,
'uui$': 'ZF$' > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_313,type,
'uvg$': 'ZF_ZF_prod_set_bool_fun$' > 'ZF_ZF_prod_set_bool_fun$' ).
tff(func_def_314,type,
'the$b': 'ZF_ZF_prod_set_bool_fun$' > 'ZF_ZF_prod_set$' ).
tff(func_def_315,type,
'relInvImage$': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_fun$' ) > 'ZF_ZF_prod_ZF_ZF_prod_prod_set$' ).
tff(func_def_316,type,
'vbh$': 'ZF_ZF_ZF_set_fun_fun$' > 'ZF_ZF_ZF_set_fun_fun$' ).
tff(func_def_317,type,
'comp$h': ( 'ZF_set_set_ZF_set_fun$' * 'ZF_set_set_ZF_set_set_fun$' ) > 'ZF_set_set_ZF_set_fun$' ).
tff(func_def_318,type,
'uye$': ( 'ZF_ZF_ZF_prod_fun$' * 'ZF_bool_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_319,type,
'comp$g': ( 'ZF_ZF_prod_set_ZF_set_fun$' * 'ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$' ) > 'ZF_ZF_prod_set_set_ZF_set_fun$' ).
tff(func_def_320,type,
'sigma$j': ( 'Nat_set$' * 'Nat_ZF_set_fun$' ) > 'Nat_ZF_prod_set$' ).
tff(func_def_321,type,
'collect$b': 'ZF_set_bool_fun$' > 'ZF_set_set$' ).
tff(func_def_322,type,
'relImage$a': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_set_fun$' ) > 'ZF_set_ZF_set_prod_set$' ).
tff(func_def_323,type,
'vbb$': ( 'Nat_ZF_set_fun$' * 'Nat_nat_set_fun$' ) > 'Nat_ZF_set_fun$' ).
tff(func_def_324,type,
'fun_app$v': ( 'ZF_ZF_prod_ZF_ZF_prod_bool_fun_fun$' * 'ZF_ZF_prod$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_325,type,
'zFTSnd$': 'ZF_ZF_fun$' ).
tff(func_def_326,type,
'member$': 'ZF_ZF_prod$' > 'ZF_ZF_prod_set_bool_fun$' ).
tff(func_def_327,type,
'case_prod$k': 'Nat_nat_ZF_ZF_prod_set_fun_fun$' > 'Nat_nat_prod_ZF_ZF_prod_set_fun$' ).
tff(func_def_328,type,
'uzx$': 'ZF_ZF_prod_ZF_fun$' > 'ZF_ZF_prod_ZF_set_fun$' ).
tff(func_def_329,type,
'fun_app$ab': ( 'ZF_ZF_prod_ZF_ZF_prod_set_fun$' * 'ZF_ZF_prod$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_330,type,
'uxk$': ( 'ZF_ZF_set_fun$' * 'Nat_ZF_fun$' ) > 'Nat_ZF_set_fun$' ).
tff(func_def_331,type,
'isOpair$': 'ZF_bool_fun$' ).
tff(func_def_332,type,
'vbz$': 'ZF_ZF_bool_fun_fun$' > 'ZF_ZF_set_fun$' ).
tff(func_def_333,type,
'uuu$': 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_334,type,
'less_eq$': 'ZF_ZF_prod_set$' > 'ZF_ZF_prod_set_bool_fun$' ).
tff(func_def_335,type,
'sucNat$': 'ZF_ZF_fun$' ).
tff(func_def_336,type,
'fun_app$aq': ( 'Nat_nat_set_fun$' * 'Nat$' ) > 'Nat_set$' ).
tff(func_def_337,type,
'vap$': 'ZF_ZF_set_fun$' > 'ZF_set_ZF_ZF_prod_set_fun$' ).
tff(func_def_338,type,
'vcj$': ( 'ZF_ZF_fun$' * 'Nat_ZF_set_fun$' ) > 'Nat_ZF_set_fun$' ).
tff(func_def_339,type,
'vbw$': ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod_ZF_ZF_prod_bool_fun_fun$' ) > 'ZF_ZF_prod_ZF_ZF_prod_bool_fun_fun$' ).
tff(func_def_340,type,
'image$v': ( 'ZF_nat_prod_ZF_ZF_prod_set_fun$' * 'ZF_nat_prod_set$' ) > 'ZF_ZF_prod_set_set$' ).
tff(func_def_341,type,
'uuv$': 'ZF_ZF_fun$' ).
tff(func_def_342,type,
'opair$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_343,type,
'uvn$': ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_344,type,
'vas$': 'Nat_set$' > 'ZF_nat_set_fun$' ).
tff(func_def_345,type,
'uxo$': ( 'ZF_set_ZF_set_fun$' * 'ZF_ZF_set_fun$' ) > 'ZF_ZF_set_fun$' ).
tff(func_def_346,type,
'isFun$': 'ZF_bool_fun$' ).
tff(func_def_347,type,
'uyq$': 'ZF_ZF_prod_ZF_fun$' > 'ZF_bool_fun$' ).
tff(func_def_348,type,
'uzk$': ( 'ZF_ZF_prod$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_349,type,
'uzq$': ( 'Bool_ZF_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_350,type,
def_5: ( 'Bool_bool_fun$' * tlbool ) > tlbool ).
tff(func_def_351,type,
'regular$': 'ZF_ZF_prod_set_bool_fun$' ).
tff(func_def_352,type,
'the_elem$': 'ZF_set_ZF_fun$' ).
tff(func_def_353,type,
'uxr$': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_ZF_prod_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_354,type,
'elem$': 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_355,type,
'vbs$': ( 'ZF_bool_fun$' * 'ZF_ZF_ZF_prod_bool_fun_fun$' ) > 'ZF_ZF_ZF_prod_bool_fun_fun$' ).
tff(func_def_356,type,
'zFfunDom$': 'ZF_ZF_fun$' ).
tff(func_def_357,type,
'uuj$': 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_358,type,
'uzz$': ( 'ZF$' * 'ZF$' ) > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_359,type,
'vbn$': 'Nat_ZF_ZF_set_fun_fun$' > 'ZF_nat_ZF_set_fun_fun$' ).
tff(func_def_360,type,
'uyg$': 'ZF_set_set$' > 'Nat_ZF_set_set_fun$' ).
tff(func_def_361,type,
'image$i': ( 'ZF_set_ZF_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).
tff(func_def_362,type,
'fun_app$be': ( 'Nat_set_set_nat_set_fun$' * 'Nat_set_set$' ) > 'Nat_set$' ).
tff(func_def_363,type,
'fun_app$bf': ( 'Nat_set_set_ZF_set_set_set_fun$' * 'Nat_set_set$' ) > 'ZF_set_set_set$' ).
tff(func_def_364,type,
'uvt$': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_fun$' ) > 'ZF_ZF_prod_ZF_ZF_prod_prod_bool_fun$' ).
tff(func_def_365,type,
'zFfunApp$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_366,type,
'fun_app$ae': ( 'Nat_ZF_ZF_prod_fun$' * 'Nat$' ) > 'ZF_ZF_prod$' ).
tff(func_def_367,type,
'uyb$': ( 'ZF_ZF_set_fun$' * 'ZF_bool_fun$' ) > 'ZF_set_bool_fun$' ).
tff(func_def_368,type,
'bot$e': 'Nat_set$' ).
tff(func_def_369,type,
'fun_app$s': ( 'Nat_ZF_set_set_fun$' * 'Nat$' ) > 'ZF_set_set$' ).
tff(func_def_370,type,
'range$': 'ZF_ZF_fun$' ).
tff(func_def_371,type,
'sup$': 'ZF_ZF_prod_set_set_ZF_ZF_prod_set_fun$' ).
tff(func_def_372,type,
'lambda$': ( 'ZF$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_373,type,
'uvp$': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_ZF_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_374,type,
def_2: ( 'ZF_ZF_bool_fun_fun$' * 'ZF$' * 'ZF$' ) > tlbool ).
tff(func_def_375,type,
'vaa$': ( 'ZF_bool_fun$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_ZF_prod_bool_fun_fun$' ).
tff(func_def_376,type,
'fun_app$af': ( 'ZF_ZF_ZF_set_fun_fun$' * 'ZF$' ) > 'ZF_ZF_set_fun$' ).
tff(func_def_377,type,
def_8: ( 'ZF_ZF_bool_fun_fun$' * 'ZF$' * 'ZF$' ) > tlbool ).
tff(func_def_378,type,
'fun_app$au': ( 'Nat_ZF_ZF_ZF_prod_set_fun_fun$' * 'Nat$' ) > 'ZF_ZF_ZF_prod_set_fun$' ).
tff(func_def_379,type,
def_4: ( tlbool * 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_380,type,
'uur$': ( 'ZF_set$' * 'ZF_bool_fun$' ) > 'ZF_bool_fun$' ).
tff(func_def_381,type,
'least$': ( 'ZF_ZF_bool_fun_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_382,type,
'insert$b': ( 'ZF_set$' * 'ZF_set_set$' ) > 'ZF_set_set$' ).
tff(func_def_383,type,
'uvi$': 'Nat_bool_fun$' > 'Nat_bool_fun$' ).
tff(func_def_384,type,
'uuf$': 'ZF_ZF_fun$' > 'ZF_ZF_fun$' ).
tff(func_def_385,type,
'uuk$': 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_386,type,
'fun_app$ar': ( 'ZF_ZF_prod_ZF_ZF_prod_fun$' * 'ZF_ZF_prod$' ) > 'ZF_ZF_prod$' ).
tff(func_def_387,type,
'image$t': ( 'ZF_set_ZF_ZF_prod_set_fun$' * 'ZF_set_set$' ) > 'ZF_ZF_prod_set_set$' ).
tff(func_def_388,type,
'uyz$': 'ZF_ZF_prod_ZF_ZF_prod_bool_fun_fun$' ).
tff(func_def_389,type,
'wfzf$': 'ZF_ZF_prod_set_bool_fun$' ).
tff(func_def_390,type,
'uul$': ( 'ZF$' * 'ZF_bool_fun$' ) > 'ZF_bool_fun$' ).
tff(func_def_391,type,
'bind$': ( 'ZF_set$' * 'ZF_ZF_set_set_fun$' ) > 'ZF_set_set$' ).
tff(func_def_392,type,
'eps$': 'ZF_bool_fun$' > 'ZF$' ).
tff(func_def_393,type,
tlfalse: tlbool ).
tff(func_def_394,type,
'vbi$': ( 'ZF_ZF_ZF_set_fun_fun$' * 'ZF_set$' ) > 'ZF_ZF_set_fun$' ).
tff(func_def_395,type,
'nat$': $int > 'Nat$' ).
tff(func_def_396,type,
'least$d': 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_397,type,
'fun$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_398,type,
'image$ab': 'Nat_set_ZF_set_set_fun$' > 'Nat_set_set_ZF_set_set_set_fun$' ).
tff(func_def_399,type,
'bind$a': ( 'Nat_set$' * 'Nat_ZF_set_set_fun$' ) > 'ZF_set_set$' ).
tff(func_def_400,type,
'uxj$': ( 'ZF_set_ZF_fun$' * 'ZF_ZF_set_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_401,type,
'uzo$': ( 'ZF_ZF_fun$' * 'ZF_ZF_ZF_fun_fun$' ) > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_402,type,
'greatest$c': 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_403,type,
'uvy$': 'ZF_bool_fun$' ).
tff(func_def_404,type,
'uud$': 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_405,type,
'uyi$': tlbool > 'ZF_bool_fun$' ).
tff(func_def_406,type,
'uyf$': ( 'ZF_ZF_prod_ZF_ZF_prod_fun$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_407,type,
'greatest$a': 'ZF_ZF_prod_set_bool_fun$' > 'ZF_ZF_prod_set$' ).
tff(func_def_408,type,
'uws$': ( 'ZF_ZF_set_fun$' * 'ZF_set$' * 'ZF_set_bool_fun$' ) > 'ZF_set_bool_fun$' ).
tff(func_def_409,type,
'fun_app$am': ( 'ZF_set_ZF_fun$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_410,type,
'uwd$': 'ZF_set$' > 'ZF_ZF_prod_ZF_set_fun$' ).
tff(func_def_411,type,
'inf$': 'ZF$' ).
tff(func_def_412,type,
'collect$g': 'ZF_ZF_prod_ZF_prod_bool_fun$' > 'ZF_ZF_prod_ZF_prod_set$' ).
tff(func_def_413,type,
'image2$b': ( 'ZF_set_set$' * 'ZF_set_ZF_fun$' * 'ZF_set_ZF_fun$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_414,type,
'collect$d': 'ZF_set_ZF_set_prod_bool_fun$' > 'ZF_set_ZF_set_prod_set$' ).
tff(func_def_415,type,
'fun_app$': ( 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_416,type,
'vak$': tlbool > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_417,type,
'vbp$': ( 'Nat_nat_ZF_set_fun_fun$' * 'Nat_set$' ) > 'Nat_ZF_set_fun$' ).
tff(func_def_418,type,
'makeCat$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_419,type,
'inj_on$a': 'ZF_ZF_set_fun$' > 'ZF_set_bool_fun$' ).
tff(func_def_420,type,
'uxp$': ( 'ZF_set_ZF_set_fun$' * 'Nat_ZF_set_fun$' ) > 'Nat_ZF_set_fun$' ).
tff(func_def_421,type,
'vbj$': ( 'ZF_nat_ZF_set_fun_fun$' * 'Nat_set$' ) > 'ZF_ZF_set_fun$' ).
tff(func_def_422,type,
'comp$d': ( 'ZF_set_set_set_ZF_set_set_fun$' * 'ZF_set_set_ZF_set_set_set_fun$' ) > 'ZF_set_set_ZF_set_set_fun$' ).
tff(func_def_423,type,
'uyl$': 'ZF_nat_set_fun$' ).
tff(func_def_424,type,
'fun_app$g': ( 'ZF_ZF_ZF_ZF_prod_fun_fun$' * 'ZF$' ) > 'ZF_ZF_ZF_prod_fun$' ).
tff(func_def_425,type,
'uyp$': ( 'ZF_ZF_fun$' * 'Nat_ZF_fun$' ) > 'Nat_ZF_fun$' ).
tff(func_def_426,type,
'case_prod$h': 'ZF_ZF_prod_ZF_ZF_prod_bool_fun_fun$' > 'ZF_ZF_prod_ZF_ZF_prod_prod_bool_fun$' ).
tff(func_def_427,type,
'vck$': 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_428,type,
'uvj$': 'Nat_bool_fun$' > 'Nat_bool_fun$' ).
tff(func_def_429,type,
'power$': 'ZF_ZF_fun$' ).
tff(func_def_430,type,
'sep$': ( 'ZF$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_431,type,
'sigma$b': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_set_fun$' ) > 'ZF_ZF_prod_ZF_prod_set$' ).
tff(func_def_432,type,
'sigma$f': ( 'ZF_set$' * 'ZF_ZF_set_set_fun$' ) > 'ZF_ZF_set_prod_set$' ).
tff(func_def_433,type,
'uvr$': ( 'ZF_set_set$' * 'ZF_set_ZF_fun$' * 'ZF_set_ZF_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_434,type,
'uzb$': 'ZF$' > 'ZF_ZF_prod_ZF_fun$' ).
tff(func_def_435,type,
'top$c': 'ZF_nat_prod_set$' ).
tff(func_def_436,type,
'uwi$': 'ZF_set_set$' > 'ZF_ZF_prod_ZF_set_set_fun$' ).
tff(func_def_437,type,
'relInvImage$c': ( 'ZF_set$' * 'ZF_set_ZF_set_prod_set$' * 'ZF_ZF_set_fun$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_438,type,
'sigma$g': ( 'ZF_set_set$' * 'ZF_set_ZF_set_set_fun$' ) > 'ZF_set_ZF_set_prod_set$' ).
tff(func_def_439,type,
'uvk$': 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_440,type,
'domain$': 'ZF_ZF_fun$' ).
tff(func_def_441,type,
'uzg$': ( 'ZF$' * 'ZF_bool_fun$' ) > 'ZF_bool_fun$' ).
tff(func_def_442,type,
'uyn$': 'Nat_nat_set_fun$' ).
tff(func_def_443,type,
'uup$': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_444,type,
'uvo$': ( 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF_bool_fun$' ).
tff(func_def_445,type,
'uzl$': ( 'ZF_set$' * 'ZF_set_set$' ) > 'ZF_set_bool_fun$' ).
tff(func_def_446,type,
'val$': 'Nat_ZF_set_fun$' ).
tff(func_def_447,type,
'the$c': 'ZF_set_bool_fun$' > 'ZF_set$' ).
tff(func_def_448,type,
'uuc$': 'ZF$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_449,type,
'vab$': 'ZF_ZF_prod_bool_fun$' > 'ZF_ZF_ZF_prod_set_fun$' ).
tff(func_def_450,type,
'uwb$': 'Nat_bool_fun$' ).
tff(func_def_451,type,
'vah$': 'ZF_bool_fun$' > 'ZF_ZF_set_fun$' ).
tff(func_def_452,type,
'vaw$': ( 'ZF_ZF_set_fun$' * 'ZF_set$' ) > 'ZF_ZF_set_fun$' ).
tff(func_def_453,type,
'subsetFn$a': ( 'ZF_set$' * 'ZF_set$' ) > 'ZF_ZF_fun$' ).
tff(func_def_454,type,
'uyx$': ( 'ZF_set$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_455,type,
'sigma$d': ( 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set_ZF_prod_set$' ).
tff(func_def_456,type,
'fun_app$ac': ( 'ZF_ZF_prod_ZF_bool_fun_fun$' * 'ZF_ZF_prod$' ) > 'ZF_bool_fun$' ).
tff(func_def_457,type,
'nat$a': 'ZF$' ).
tff(func_def_458,type,
'uvb$': 'Int_bool_fun$' > 'Int_bool_fun$' ).
tff(func_def_459,type,
'image$ad': ( 'Nat_ZF_ZF_prod_set_fun$' * 'Nat_set$' ) > 'ZF_ZF_prod_set_set$' ).
tff(func_def_460,type,
'vax$': ( 'Nat_ZF_set_fun$' * 'Nat_ZF_set_fun$' ) > 'Nat_nat_ZF_ZF_prod_set_fun_fun$' ).
tff(func_def_461,type,
'image2$a': ( 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_462,type,
'vca$': 'ZF_ZF_ZF_ZF_prod_set_fun_fun$' ).
tff(func_def_463,type,
'image$l': ( 'ZF_nat_fun$' * 'ZF_set$' ) > 'Nat_set$' ).
tff(func_def_464,type,
'case_prod$j': 'Nat_ZF_ZF_ZF_prod_set_fun_fun$' > 'Nat_ZF_prod_ZF_ZF_prod_set_fun$' ).
tff(func_def_465,type,
'fun_app$bb': ( 'ZF_set_set_set_ZF_set_set_fun$' * 'ZF_set_set_set$' ) > 'ZF_set_set$' ).
tff(func_def_466,type,
'van$': ( 'ZF$' * 'Nat_ZF_set_fun$' ) > 'Nat_ZF_set_fun$' ).
tff(func_def_467,type,
'vbl$': ( 'ZF_nat_ZF_set_fun_fun$' * 'ZF_set$' ) > 'Nat_ZF_set_fun$' ).
tff(func_def_468,type,
'image$j': 'ZF_set_ZF_set_fun$' > 'ZF_set_set_ZF_set_set_fun$' ).
tff(func_def_469,type,
'vad$': 'ZF_bool_fun$' > 'ZF_ZF_prod_ZF_set_fun$' ).
tff(func_def_470,type,
'sigma$i': ( 'ZF_set$' * 'ZF_nat_set_fun$' ) > 'ZF_nat_prod_set$' ).
tff(func_def_471,type,
'image$y': ( 'ZF_nat_set_fun$' * 'ZF_set$' ) > 'Nat_set_set$' ).
tff(func_def_472,type,
'implode$': 'ZF_set_ZF_fun$' ).
tff(func_def_473,type,
'explode$': 'ZF_ZF_set_fun$' ).
tff(func_def_474,type,
'isZFfun$': 'ZF_bool_fun$' ).
tff(func_def_475,type,
'product$': 'ZF_ZF_fun$' ).
tff(func_def_476,type,
'cartProd$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_477,type,
'uyt$': 'ZF_ZF_ZF_prod_fun$' > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_478,type,
'top$a': 'Nat_set$' ).
tff(func_def_479,type,
'fun_app$aj': ( 'ZF_ZF_prod_set_ZF_set_fun$' * 'ZF_ZF_prod_set$' ) > 'ZF_set$' ).
tff(func_def_480,type,
'fun_app$bc': ( 'ZF_ZF_ZF_set_set_fun_fun$' * 'ZF$' ) > 'ZF_ZF_set_set_fun$' ).
tff(func_def_481,type,
'fun_app$an': ( 'ZF_nat_fun$' * 'ZF$' ) > 'Nat$' ).
tff(func_def_482,type,
'uxf$': ( 'ZF_ZF_ZF_prod_fun$' * 'ZF_set$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_bool_fun$' ).
tff(func_def_483,type,
'fun_app$ba': ( 'ZF_ZF_prod_ZF_set_set_fun$' * 'ZF_ZF_prod$' ) > 'ZF_set_set$' ).
tff(func_def_484,type,
'fun_app$r': ( 'Nat_ZF_set_fun$' * 'Nat$' ) > 'ZF_set$' ).
tff(func_def_485,type,
'zFTriple$': 'ZF$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_486,type,
'uyv$': 'Nat_ZF_fun$' > 'ZF_bool_fun$' ).
tff(func_def_487,type,
'vbc$': ( 'ZF_ZF_set_fun$' * 'ZF_ZF_set_fun$' ) > 'ZF_ZF_set_fun$' ).
tff(func_def_488,type,
'uum$': ( 'ZF$' * 'ZF_bool_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_489,type,
'vbt$': 'ZF_ZF_ZF_prod_bool_fun_fun$' > 'ZF_ZF_ZF_prod_set_fun$' ).
tff(func_def_490,type,
'the$a': 'Int_bool_fun$' > $int ).
tff(func_def_491,type,
'vbv$': 'ZF_ZF_prod_ZF_bool_fun_fun$' > 'ZF_ZF_prod_ZF_set_fun$' ).
tff(func_def_492,type,
'uzh$': 'ZF_ZF_prod_ZF_fun$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_493,type,
'fun_app$bg': ( 'ZF_ZF_prod_set_set_ZF_set_set_fun$' * 'ZF_ZF_prod_set_set$' ) > 'ZF_set_set$' ).
tff(func_def_494,type,
'uvh$': 'ZF_set_bool_fun$' > 'ZF_set_bool_fun$' ).
tff(func_def_499,type,
sK4: ( 'ZF_bool_fun$' * 'ZF_ZF_set_fun$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_500,type,
sK5: ( 'ZF_ZF_set_fun$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_501,type,
sK6: ( 'ZF_set_bool_fun$' * 'ZF_set$' ) > 'ZF_set$' ).
tff(func_def_502,type,
sK7: ( 'ZF_set$' * 'Nat_ZF_set_fun$' * 'Nat_set$' * 'ZF_ZF_set_fun$' ) > 'Nat$' ).
tff(func_def_503,type,
sK8: ( 'Nat_set$' * 'Nat_ZF_set_fun$' * 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' ) > 'Nat$' ).
tff(func_def_504,type,
sK9: ( 'ZF_ZF_set_fun$' * 'ZF_set$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_505,type,
sK10: ( 'ZF_ZF_prod_set_bool_fun$' * 'ZF_ZF_prod_set$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_506,type,
sK11: ( 'ZF_ZF_prod_ZF_set_fun$' * 'ZF_ZF_prod_set$' ) > 'ZF_ZF_prod$' ).
tff(func_def_507,type,
sK12: ( 'ZF_ZF_ZF_prod_set_fun$' * 'ZF_set$' * 'ZF_set$' * 'ZF_ZF_ZF_prod_set_fun$' ) > 'ZF$' ).
tff(func_def_508,type,
sK13: ( 'ZF$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_509,type,
sK14: ( 'ZF_ZF_prod$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).
tff(func_def_510,type,
sK15: ( 'ZF_ZF_prod$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).
tff(func_def_511,type,
sK16: ( 'ZF_set$' * 'ZF_set_set$' * 'ZF_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).
tff(func_def_512,type,
sK17: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF$' ).
tff(func_def_513,type,
sK18: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF$' ).
tff(func_def_514,type,
sK19: 'ZF_bool_fun$' > 'ZF$' ).
tff(func_def_515,type,
sK20: ( 'ZF$' * 'ZF_ZF_prod_ZF_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_516,type,
sK21: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_517,type,
sK22: 'ZF$' > 'ZF$' ).
tff(func_def_518,type,
sK23: ( 'ZF_set_set$' * 'ZF_ZF_prod$' * 'ZF_set_ZF_ZF_prod_fun$' ) > 'ZF_set$' ).
tff(func_def_519,type,
sK24: ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_set_set_fun$' * 'ZF_set$' ) > 'ZF_ZF_prod$' ).
tff(func_def_520,type,
sK25: 'ZF$' > 'ZF$' ).
tff(func_def_521,type,
sK26: 'ZF$' > 'ZF$' ).
tff(func_def_522,type,
sK27: 'ZF$' > 'ZF$' ).
tff(func_def_523,type,
sK28: 'ZF$' > 'ZF$' ).
tff(func_def_524,type,
sK29: 'ZF$' > 'ZF$' ).
tff(func_def_525,type,
sK30: ( 'ZF$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_526,type,
sK31: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_527,type,
sK32: ( 'ZF$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_528,type,
sK33: 'ZF_bool_fun$' > 'ZF$' ).
tff(func_def_529,type,
sK34: ( 'ZF_ZF_ZF_prod_fun$' * 'ZF_ZF_prod$' ) > 'ZF$' ).
tff(func_def_530,type,
sK35: ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_531,type,
sK36: ( 'ZF_set_ZF_fun$' * 'ZF_set_set$' * 'ZF$' ) > 'ZF_set$' ).
tff(func_def_532,type,
sK37: ( 'ZF_set$' * 'ZF_ZF_set_fun$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_533,type,
sK38: ( 'ZF$' * 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).
tff(func_def_534,type,
sK39: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_535,type,
sK40: ( 'ZF_ZF_set_fun$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).
tff(func_def_536,type,
sK41: ( 'ZF_ZF_prod$' * 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_537,type,
sK42: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_538,type,
sK43: ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod_ZF_set_fun$' * 'ZF_set_set$' ) > 'ZF_ZF_prod$' ).
tff(func_def_539,type,
sK44: ( 'ZF_set$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_540,type,
sK45: ( 'ZF_ZF_prod_set$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_541,type,
sK46: 'ZF$' > 'Nat$' ).
tff(func_def_542,type,
sK47: ( 'ZF_ZF_fun$' * 'ZF$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_543,type,
sK48: ( 'ZF_set_bool_fun$' * 'ZF_set$' ) > 'ZF_set$' ).
tff(func_def_544,type,
sK49: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_545,type,
sK50: ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_ZF_prod_set_fun$' * 'ZF_ZF_prod_set$' ) > 'ZF_ZF_prod$' ).
tff(func_def_546,type,
sK51: ( 'ZF$' * 'Nat_ZF_fun$' ) > 'Nat$' ).
tff(func_def_547,type,
sK52: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_548,type,
sK53: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_549,type,
sK54: ( 'ZF_ZF_ZF_prod_set_fun$' * 'ZF_set$' * 'ZF_ZF_prod$' ) > 'ZF$' ).
tff(func_def_550,type,
sK55: ( 'ZF_set_bool_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).
tff(func_def_551,type,
sK56: 'ZF$' > 'ZF$' ).
tff(func_def_552,type,
sK57: 'ZF$' > 'ZF$' ).
tff(func_def_553,type,
sK58: 'ZF$' > 'ZF$' ).
tff(func_def_554,type,
sK59: 'ZF$' > 'ZF$' ).
tff(func_def_555,type,
sK60: 'ZF$' > 'ZF$' ).
tff(func_def_556,type,
sK61: ( 'ZF_ZF_prod_ZF_ZF_prod_set_fun$' * 'ZF_ZF_prod$' * 'ZF_ZF_prod_set$' ) > 'ZF_ZF_prod$' ).
tff(func_def_557,type,
sK62: ( 'ZF_bool_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_558,type,
sK63: 'ZF_ZF_prod_set$' > 'ZF_ZF_prod$' ).
tff(func_def_559,type,
sK64: ( 'ZF$' * 'Nat_ZF_set_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_560,type,
sK65: ( 'ZF_set$' * 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_561,type,
sK66: ( 'ZF_set$' * 'ZF_ZF_set_fun$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).
tff(func_def_562,type,
sK67: ( 'ZF_ZF_prod_set$' * 'ZF_set$' * 'ZF_ZF_prod_ZF_set_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_563,type,
sK68: ( 'ZF_ZF_ZF_prod_set_fun$' * 'ZF_ZF_prod_set$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_564,type,
sK69: ( 'ZF_ZF_ZF_prod_set_fun$' * 'ZF_ZF_prod_set$' * 'ZF_set$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_565,type,
sK70: ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_set_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_566,type,
sK71: ( 'ZF_set$' * 'ZF_ZF_prod_ZF_set_fun$' * 'ZF_ZF_prod_set$' ) > 'ZF_ZF_prod$' ).
tff(func_def_567,type,
sK72: ( 'ZF_ZF_ZF_prod_set_fun$' * 'ZF_ZF_prod_set$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_568,type,
sK73: ( 'ZF$' * 'ZF$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_569,type,
sK74: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_570,type,
sK75: ( 'ZF_ZF_prod_set$' * 'ZF_set_ZF_ZF_prod_set_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).
tff(func_def_571,type,
sK76: ( 'ZF_ZF_prod_set$' * 'ZF_set_ZF_ZF_prod_set_fun$' * 'ZF_set_set$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_572,type,
sK77: ( 'ZF_set_ZF_set_fun$' * 'ZF_set_set$' * 'ZF_set$' ) > 'ZF_set$' ).
tff(func_def_573,type,
sK78: ( 'ZF_set_set$' * 'ZF_ZF_prod$' * 'ZF_set_ZF_ZF_prod_set_fun$' ) > 'ZF_set$' ).
tff(func_def_574,type,
sK79: ( 'ZF$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_575,type,
sK80: ( 'ZF_ZF_prod_ZF_fun$' * 'ZF$' ) > 'ZF_ZF_prod$' ).
tff(func_def_576,type,
sK81: ( 'ZF_ZF_prod_bool_fun$' * 'ZF$' * 'ZF_ZF_prod_ZF_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_577,type,
sK82: ( 'ZF_set_ZF_set_set_fun$' * 'ZF_set$' * 'ZF_set_set$' ) > 'ZF_set$' ).
tff(func_def_578,type,
sK83: ( 'ZF_ZF_fun$' * 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_579,type,
sK84: ( 'ZF$' * 'ZF_bool_fun$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_580,type,
sK85: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_581,type,
sK86: ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_582,type,
sK87: ( 'ZF_ZF_prod_set$' * 'ZF_set$' * 'ZF_ZF_prod_ZF_set_set_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_583,type,
sK88: ( 'ZF_ZF_prod$' * 'ZF_ZF_ZF_ZF_prod_set_fun_fun$' * 'ZF_ZF_prod$' ) > 'ZF$' ).
tff(func_def_584,type,
sK89: ( 'ZF_ZF_prod$' * 'ZF_ZF_ZF_ZF_prod_set_fun_fun$' * 'ZF_ZF_prod$' ) > 'ZF$' ).
tff(func_def_585,type,
sK90: ( 'ZF_ZF_prod$' * 'ZF_ZF_fun$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_586,type,
sK91: 'ZF$' > 'ZF$' ).
tff(func_def_587,type,
sK92: 'ZF$' > 'ZF$' ).
tff(func_def_588,type,
sK93: 'ZF$' > 'ZF$' ).
tff(func_def_589,type,
sK94: ( 'Nat_ZF_set_fun$' * 'Nat_set$' * 'ZF_ZF_prod_ZF_set_fun$' * 'ZF_ZF_prod_set$' ) > 'Nat$' ).
tff(func_def_590,type,
sK95: ( 'ZF_ZF_prod_ZF_ZF_prod_set_fun$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod$' ) > 'ZF_ZF_prod$' ).
tff(func_def_591,type,
sK96: ( 'ZF_ZF_ZF_set_set_fun_fun$' * 'ZF_ZF_prod$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_592,type,
sK97: ( 'ZF_ZF_ZF_set_set_fun_fun$' * 'ZF_ZF_prod$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_593,type,
sK98: ( 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_594,type,
sK99: ( 'ZF_set_set$' * 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).
tff(func_def_595,type,
sK100: 'ZF_set$' > 'ZF$' ).
tff(func_def_596,type,
sK101: ( 'ZF$' * 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_597,type,
sK102: ( 'ZF$' * 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_598,type,
sK103: ( 'ZF_ZF_set_fun$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_599,type,
sK104: ( 'ZF_set$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_600,type,
sK105: ( 'ZF_set$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_601,type,
sK106: ( 'Nat_ZF_set_fun$' * 'Nat_set$' * 'ZF_ZF_set_fun$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_602,type,
sK107: ( 'ZF_ZF_prod_set$' * 'ZF_set_set$' * 'ZF_set_ZF_set_prod$' * 'ZF_set_ZF_fun$' ) > 'ZF_set$' ).
tff(func_def_603,type,
sK108: ( 'ZF_ZF_prod_set$' * 'ZF_set_set$' * 'ZF_set_ZF_set_prod$' * 'ZF_set_ZF_fun$' ) > 'ZF_set$' ).
tff(func_def_604,type,
sK109: ( 'ZF_ZF_prod$' * 'Nat_ZF_ZF_prod_fun$' ) > 'Nat$' ).
tff(func_def_605,type,
sK110: ( 'ZF_bool_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_606,type,
sK111: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_607,type,
sK112: ( 'ZF_set$' * 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).
tff(func_def_608,type,
sK113: ( 'ZF_set_set$' * 'ZF_set$' * 'ZF_set_ZF_set_set_fun$' ) > 'ZF_set$' ).
tff(func_def_609,type,
sK114: ( 'ZF_ZF_set_fun$' * 'ZF_set$' * 'ZF_set$' ) > 'ZF_set$' ).
tff(func_def_610,type,
sK115: ( 'ZF_ZF_set_fun$' * 'ZF_set$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_611,type,
sK116: ( 'ZF_ZF_prod$' * 'ZF_ZF_ZF_prod_set_fun$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_612,type,
sK117: ( 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set$' ) > 'ZF_set$' ).
tff(func_def_613,type,
sK118: ( 'ZF_bool_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_614,type,
sK119: ( 'Nat_ZF_set_fun$' * 'Nat_set$' * 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).
tff(func_def_615,type,
sK120: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_616,type,
sK121: ( 'ZF$' * 'ZF$' ) > 'ZF_ZF_fun$' ).
tff(func_def_617,type,
sK122: ( 'ZF_set$' * 'ZF_ZF_prod_set$' ) > 'ZF$' ).
tff(func_def_618,type,
sK123: ( 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).
tff(func_def_619,type,
sK124: ( 'ZF$' * 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).
tff(func_def_620,type,
sK125: ( 'ZF_set$' * 'ZF_ZF_set_set_fun$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_621,type,
sK126: ( 'Nat_set$' * 'Nat_ZF_set_fun$' ) > 'Nat$' ).
tff(func_def_622,type,
sK127: ( 'ZF_ZF_prod_ZF_set_fun$' * 'ZF_ZF_prod_set$' ) > 'ZF_ZF_prod$' ).
tff(func_def_623,type,
sK128: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_624,type,
sK129: ( 'ZF$' * 'ZF_set_ZF_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).
tff(func_def_625,type,
sK130: ( 'ZF$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_626,type,
sK131: ( 'Nat_ZF_set_fun$' * 'Nat_ZF_set_fun$' ) > 'Nat$' ).
tff(func_def_627,type,
sK132: ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_ZF_prod_set_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_628,type,
sK133: ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_ZF_prod_set_fun$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_629,type,
sK134: ( 'ZF_set_ZF_set_fun$' * 'ZF_set$' * 'ZF_set_set$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).
tff(func_def_630,type,
sK135: ( 'ZF_set_set$' * 'ZF_set_ZF_ZF_prod_set_fun$' * 'ZF_ZF_prod$' ) > 'ZF_set$' ).
tff(func_def_631,type,
sK136: ( 'ZF_ZF_prod_set$' * 'ZF$' * 'ZF$' ) > 'Nat$' ).
tff(func_def_632,type,
sK137: ( 'ZF_ZF_prod$' * 'ZF_ZF_ZF_prod_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_633,type,
sK138: ( 'ZF_set$' * 'Nat_ZF_set_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_634,type,
sK139: ( 'ZF_ZF_prod$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_ZF_prod_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_635,type,
sK140: ( 'Nat_ZF_set_fun$' * 'Nat_set$' * 'Nat_ZF_set_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_636,type,
sK141: ( 'ZF$' * 'Nat_ZF_fun$' ) > 'Nat$' ).
tff(func_def_637,type,
sK142: 'ZF_ZF_prod_set$' > 'ZF$' ).
tff(func_def_638,type,
sK143: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).
tff(func_def_639,type,
sK144: ( 'ZF_ZF_prod$' * 'ZF_ZF_prod_ZF_ZF_prod_fun$' * 'ZF_ZF_prod_set$' ) > 'ZF_ZF_prod$' ).
tff(func_def_640,type,
sK145: ( 'ZF_set$' * 'ZF_ZF_set_fun$' * 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).
tff(func_def_641,type,
sK146: ( 'ZF_ZF_prod_set$' * 'ZF$' * 'ZF_ZF_prod_ZF_set_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_642,type,
sK147: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_643,type,
sK148: 'ZF_bool_fun$' > 'ZF$' ).
tff(func_def_644,type,
sK149: ( 'ZF_ZF_prod_set$' * 'ZF$' * 'ZF_ZF_prod_ZF_set_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_645,type,
sK150: ( 'ZF_set_set$' * 'ZF_ZF_prod_set$' * 'ZF_set_ZF_ZF_prod_set_fun$' ) > 'ZF_set$' ).
tff(func_def_646,type,
sK151: ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_647,type,
sK152: ( 'ZF_ZF_prod_ZF_ZF_prod_set_fun$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_set$' ) > 'ZF_ZF_prod$' ).
tff(func_def_648,type,
sK153: ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_649,type,
sK154: ( 'ZF_ZF_prod_ZF_ZF_prod_fun$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_650,type,
sK155: 'Nat_ZF_set_fun$' > 'Nat$' ).
tff(func_def_651,type,
sK156: 'ZF_set_set$' > 'ZF_set$' ).
tff(func_def_652,type,
sK157: ( 'ZF_set_bool_fun$' * 'ZF_set_set$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).
tff(func_def_653,type,
sK158: ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_654,type,
sK159: ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_655,type,
sK160: ( 'ZF_set$' * 'Nat_ZF_set_fun$' ) > 'Nat$' ).
tff(func_def_656,type,
sK161: 'ZF_ZF_prod$' > 'ZF$' ).
tff(func_def_657,type,
sK162: 'ZF_ZF_prod$' > 'ZF$' ).
tff(func_def_658,type,
sK163: ( 'Nat_ZF_set_fun$' * 'ZF_set$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_659,type,
sK164: 'ZF_bool_fun$' > 'ZF$' ).
tff(func_def_660,type,
sK165: ( 'ZF_set_ZF_set_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).
tff(func_def_661,type,
sK166: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_662,type,
sK167: 'ZF_bool_fun$' > 'ZF$' ).
tff(func_def_663,type,
sK168: ( 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_664,type,
sK169: ( 'ZF$' * 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).
tff(func_def_665,type,
sK170: ( 'ZF_set_set$' * 'ZF_set_ZF_ZF_prod_set_fun$' * 'ZF_ZF_prod_set$' ) > 'ZF_set$' ).
tff(func_def_666,type,
sK171: ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_ZF_fun_fun$' ) > 'ZF$' ).
tff(func_def_667,type,
sK172: ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_ZF_fun_fun$' ) > 'ZF$' ).
tff(func_def_668,type,
sK173: ( 'ZF_ZF_ZF_prod_set_fun$' * 'ZF_ZF_prod_set$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_669,type,
sK174: ( 'ZF_set$' * 'ZF_ZF_prod_ZF_set_fun$' * 'ZF_ZF_prod_set$' ) > 'ZF_ZF_prod$' ).
tff(func_def_670,type,
sK175: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_671,type,
sK176: ( 'ZF_bool_fun$' * 'ZF_set$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_672,type,
sK177: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_673,type,
sK178: ( 'ZF$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).
tff(func_def_674,type,
sK179: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_prod$' ) > 'ZF$' ).
tff(func_def_675,type,
sK180: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_prod$' ) > 'ZF$' ).
tff(func_def_676,type,
sK181: ( 'ZF_set_ZF_ZF_prod_fun$' * 'ZF_ZF_prod$' * 'ZF_set_set$' ) > 'ZF_set$' ).
tff(func_def_677,type,
sK182: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_678,type,
sK183: 'ZF_bool_fun$' > 'ZF$' ).
tff(func_def_679,type,
sK184: ( 'ZF_ZF_prod$' * 'ZF_set_ZF_fun$' * 'ZF_set_set$' * 'ZF_set_ZF_fun$' ) > 'ZF_set$' ).
tff(func_def_680,type,
sK185: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_681,type,
sK186: ( $int * 'Int_bool_fun$' ) > $int ).
tff(func_def_682,type,
sK187: ( 'Nat_ZF_ZF_prod_fun$' * 'ZF_ZF_prod$' ) > 'Nat$' ).
tff(func_def_683,type,
sK188: 'ZF$' > 'ZF$' ).
tff(func_def_684,type,
sK189: ( 'ZF_set_ZF_set_fun$' * 'ZF_set$' * 'ZF_set_set$' ) > 'ZF_set$' ).
tff(func_def_685,type,
sK190: ( 'ZF_set_ZF_set_fun$' * 'ZF_set$' * 'ZF_set_set$' ) > 'ZF_set$' ).
tff(func_def_686,type,
sK191: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_687,type,
sK192: 'ZF_ZF_prod_set$' > 'ZF$' ).
tff(func_def_688,type,
sK193: ( 'ZF_ZF_prod_set$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_689,type,
sK194: ( 'ZF_ZF_prod_set$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_690,type,
sK195: ( 'Bool_bool_fun$' * 'ZF_ZF_prod$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).
tff(func_def_691,type,
sK196: ( 'Bool_bool_fun$' * 'ZF_ZF_prod$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).
tff(func_def_692,type,
sK197: ( 'ZF$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_693,type,
sK198: ( 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).
tff(func_def_694,type,
sK199: ( 'ZF_ZF_set_fun$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_695,type,
sK200: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_696,type,
sK201: ( 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).
tff(func_def_697,type,
sK202: ( 'ZF_set$' * 'Nat_set$' * 'Nat_ZF_set_fun$' ) > 'Nat$' ).
tff(func_def_698,type,
sK203: ( 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).
tff(func_def_699,type,
sK204: ( 'ZF_ZF_prod_set$' * 'ZF_bool_fun$' * 'ZF_ZF_ZF_prod_fun$' ) > 'ZF$' ).
tff(func_def_700,type,
sK205: ( 'Nat_ZF_set_fun$' * 'ZF_set$' * 'Nat_set$' ) > 'ZF_set$' ).
tff(func_def_701,type,
sK206: ( 'Nat_ZF_set_fun$' * 'ZF_set$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_702,type,
sK207: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_703,type,
sK208: ( 'ZF_ZF_prod_ZF_set_fun$' * 'ZF_ZF_prod_set$' * 'ZF_set$' ) > 'ZF_ZF_prod$' ).
tff(func_def_704,type,
sK209: ( 'ZF_ZF_prod_ZF_set_fun$' * 'ZF_ZF_prod_set$' * 'ZF_set$' ) > 'ZF_set$' ).
tff(func_def_705,type,
sK210: ( 'ZF_ZF_ZF_prod_fun$' * 'ZF_ZF_prod$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_706,type,
sK211: ( 'ZF_ZF_prod$' * 'ZF_ZF_ZF_prod_fun$' ) > 'ZF$' ).
tff(func_def_707,type,
sK212: 'ZF$' > 'ZF$' ).
tff(func_def_708,type,
sK213: 'ZF$' > 'ZF$' ).
tff(func_def_709,type,
sK214: ( 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).
tff(func_def_710,type,
sK215: ( 'ZF_ZF_prod$' * 'ZF_bool_fun$' * 'ZF_ZF_ZF_fun_fun$' ) > 'ZF$' ).
tff(func_def_711,type,
sK216: ( 'ZF_ZF_prod$' * 'ZF_bool_fun$' * 'ZF_ZF_ZF_fun_fun$' ) > 'ZF$' ).
tff(func_def_712,type,
sK217: ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_set_bool_fun$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_713,type,
sK218: ( 'Nat_ZF_fun$' * 'ZF$' ) > 'Nat$' ).
tff(func_def_714,type,
sK219: ( 'Nat_ZF_set_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_715,type,
sK220: ( 'ZF$' * 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_716,type,
sK221: 'ZF_bool_fun$' > 'ZF$' ).
tff(func_def_717,type,
sK222: ( 'ZF_bool_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_718,type,
sK223: ( 'ZF_ZF_prod$' * 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod_ZF_ZF_prod_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_719,type,
sK224: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_720,type,
sK225: ( 'ZF_ZF_prod_set$' * 'ZF$' * 'ZF_ZF_prod_ZF_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_721,type,
sK226: ( 'ZF_ZF_bool_fun_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_722,type,
sK227: ( 'ZF_bool_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_723,type,
sK228: ( 'ZF$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_724,type,
sK229: ( 'ZF_ZF_set_fun$' * 'ZF_set_set$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_725,type,
sK230: 'ZF_bool_fun$' > 'ZF$' ).
tff(func_def_726,type,
sK231: ( 'Nat_ZF_set_fun$' * 'ZF$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_727,type,
sK232: ( 'ZF_ZF_set_fun$' * 'ZF_set$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_728,type,
sK233: ( 'ZF_bool_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_729,type,
sK234: ( $int * 'Int_bool_fun$' ) > $int ).
tff(func_def_730,type,
sK235: ( 'ZF$' * 'ZF_ZF_ZF_set_fun_fun$' * 'ZF_ZF_prod$' ) > 'ZF$' ).
tff(func_def_731,type,
sK236: ( 'ZF$' * 'ZF_ZF_ZF_set_fun_fun$' * 'ZF_ZF_prod$' ) > 'ZF$' ).
tff(func_def_732,type,
sK237: ( 'ZF_bool_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_733,type,
sK238: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_734,type,
sK239: ( 'ZF_ZF_fun$' * 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_735,type,
sK240: ( 'Nat_ZF_set_fun$' * 'Nat_set$' * 'ZF_set$' ) > 'Nat$' ).
tff(func_def_736,type,
sK241: ( 'ZF$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_737,type,
sK242: ( 'Nat_set$' * 'ZF_set$' * 'Nat_ZF_set_fun$' ) > 'Nat$' ).
tff(func_def_738,type,
sK243: ( 'ZF_ZF_fun$' * 'ZF_ZF_prod$' * 'ZF_ZF_fun$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_739,type,
sK244: ( 'ZF_set$' * 'ZF_ZF_set_set_fun$' * 'ZF_set$' ) > 'ZF$' ).
tff(func_def_740,type,
sK245: ( 'ZF_set$' * 'ZF_ZF_ZF_prod_fun$' * 'ZF_ZF_prod$' ) > 'ZF$' ).
tff(func_def_741,type,
sK246: 'ZF_bool_fun$' > 'ZF$' ).
tff(func_def_742,type,
sK247: ( 'ZF_ZF_prod_ZF_ZF_prod_prod$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_set$' ) > 'ZF_ZF_prod$' ).
tff(func_def_743,type,
sK248: ( 'ZF_ZF_prod_ZF_ZF_prod_prod$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_set$' ) > 'ZF_ZF_prod$' ).
tff(func_def_744,type,
sK249: ( 'Nat_ZF_set_fun$' * 'Nat_bool_fun$' * 'ZF_set_set$' ) > 'Nat$' ).
tff(func_def_745,type,
sK250: ( 'Nat_ZF_set_fun$' * 'ZF_set$' ) > 'Nat$' ).
tff(func_def_746,type,
sK251: ( 'ZF_bool_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_747,type,
sK252: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_748,type,
sK253: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(pred_def_1,type,
'less_eq$h': ( 'ZF_ZF_prod_ZF_ZF_prod_prod_set$' * 'ZF_ZF_prod_ZF_ZF_prod_prod_set$' ) > $o ).
tff(pred_def_2,type,
'less_eq$k': ( 'ZF_ZF_prod_ZF_set_prod_set$' * 'ZF_ZF_prod_ZF_set_prod_set$' ) > $o ).
tff(pred_def_3,type,
'less_eq$n': ( 'Nat_ZF_set_prod_set$' * 'Nat_ZF_set_prod_set$' ) > $o ).
tff(pred_def_4,type,
'fun_app$c': ( 'ZF_bool_fun$' * 'ZF$' ) > $o ).
tff(pred_def_5,type,
'less_eq$f': ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod_bool_fun$' ) > $o ).
tff(pred_def_6,type,
'fun_app$e': ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod$' ) > $o ).
tff(pred_def_7,type,
'fun_app$m': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_8,type,
'uniq$b': 'ZF_bool_fun$' > $o ).
tff(pred_def_9,type,
'less_eq$i': ( 'ZF_ZF_prod_ZF_prod_set$' * 'ZF_ZF_prod_ZF_prod_set$' ) > $o ).
tff(pred_def_10,type,
'member$c': ( 'Nat$' * 'Nat_set$' ) > $o ).
tff(pred_def_11,type,
'fun_app$l': ( 'ZF_set_bool_fun$' * 'ZF_set$' ) > $o ).
tff(pred_def_12,type,
'less_eq$j': ( 'ZF_ZF_ZF_prod_prod_set$' * 'ZF_ZF_ZF_prod_prod_set$' ) > $o ).
tff(pred_def_13,type,
'less_eq$c': ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > $o ).
tff(pred_def_14,type,
'inj_on$': ( 'Nat_ZF_fun$' * 'Nat_set$' ) > $o ).
tff(pred_def_15,type,
'fun_app$ay': ( 'ZF_ZF_prod_ZF_ZF_prod_prod_bool_fun$' * 'ZF_ZF_prod_ZF_ZF_prod_prod$' ) > $o ).
tff(pred_def_16,type,
'less_eq$e': ( 'ZF_set_set$' * 'ZF_set_set$' ) > $o ).
tff(pred_def_17,type,
'uniq$a': 'ZF_ZF_prod_bool_fun$' > $o ).
tff(pred_def_18,type,
'less_eq$d': ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' ) > $o ).
tff(pred_def_19,type,
'uniq$': 'ZF_set_bool_fun$' > $o ).
tff(pred_def_20,type,
'less_eq$l': ( 'ZF_ZF_set_prod_set$' * 'ZF_ZF_set_prod_set$' ) > $o ).
tff(pred_def_21,type,
'member$d': ( tlbool * 'Bool_set$' ) > $o ).
tff(pred_def_22,type,
'fun_app$k': ( 'ZF_ZF_prod_set_bool_fun$' * 'ZF_ZF_prod_set$' ) > $o ).
tff(pred_def_23,type,
'fun_app$n': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_24,type,
'member$b': ( 'ZF_set$' * 'ZF_set_set$' ) > $o ).
tff(pred_def_25,type,
'fun_app$az': ( 'ZF_set_ZF_set_prod_bool_fun$' * 'ZF_set_ZF_set_prod$' ) > $o ).
tff(pred_def_26,type,
'less_eq$g': ( 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > $o ).
tff(pred_def_27,type,
'less_eq$m': ( 'ZF_set_ZF_set_prod_set$' * 'ZF_set_ZF_set_prod_set$' ) > $o ).
tff(pred_def_28,type,
'fun_app$al': ( 'Bool_bool_fun$' * tlbool ) > $o ).
tff(pred_def_31,type,
sP0: 'ZF$' > $o ).
tff(pred_def_32,type,
sP1: 'ZF$' > $o ).
tff(pred_def_33,type,
sP2: 'ZF$' > $o ).
tff(pred_def_34,type,
sP3: ( 'ZF_set$' * 'ZF_set$' * 'ZF_set$' * 'ZF_set$' ) > $o ).
tff(f221,conjecture,
'fun_app$c'('fun_app$h'('subset$','fun_app$'('snd$','f$')),'fun_app$'('fun_app$t'('cartProd$','fun_app$'('domain$','fun_app$'('snd$','f$'))),'fun_app$'('range$','fun_app$'('snd$','f$')))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture220) ).
tff(f222,negated_conjecture,
~ 'fun_app$c'('fun_app$h'('subset$','fun_app$'('snd$','f$')),'fun_app$'('fun_app$t'('cartProd$','fun_app$'('domain$','fun_app$'('snd$','f$'))),'fun_app$'('range$','fun_app$'('snd$','f$')))),
inference(negated_conjecture,[status(cth)],[f221]) ).
tff(f223,axiom,
'fun_app$c'('isZFfun$','f$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom221) ).
tff(f232,axiom,
'zFTThd$' = 'snd$',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom230) ).
tff(f247,axiom,
! [X0: 'ZF$'] :
( 'fun_app$c'('isZFfun$',X0)
<=> ( 'fun_app$c'('fun_app$h'('subset$','fun_app$'('snd$',X0)),'fun_app$'('fun_app$t'('cartProd$','fun_app$'('domain$','fun_app$'('snd$',X0))),'fun_app$'('range$','fun_app$'('snd$',X0))))
& 'fun_app$c'('isOpair$','fun_app$'('fst$',X0))
& 'fun_app$c'('isOpair$',X0)
& 'fun_app$c'('isFun$','fun_app$'('snd$',X0))
& 'fun_app$c'('fun_app$h'('subset$','fun_app$'('range$','fun_app$'('snd$',X0))),'fun_app$'('zFfunCod$',X0))
& ( 'fun_app$'('domain$','fun_app$'('snd$',X0)) = 'fun_app$'('zFfunDom$',X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom245) ).
tff(f1200,plain,
~ 'fun_app$c'('fun_app$h'('subset$','fun_app$'('snd$','f$')),'fun_app$'('fun_app$t'('cartProd$','fun_app$'('domain$','fun_app$'('snd$','f$'))),'fun_app$'('range$','fun_app$'('snd$','f$')))),
inference(flattening,[],[f222]) ).
tff(f2400,plain,
! [X0: 'ZF$'] :
( ( 'fun_app$c'('isZFfun$',X0)
| ~ 'fun_app$c'('fun_app$h'('subset$','fun_app$'('snd$',X0)),'fun_app$'('fun_app$t'('cartProd$','fun_app$'('domain$','fun_app$'('snd$',X0))),'fun_app$'('range$','fun_app$'('snd$',X0))))
| ~ 'fun_app$c'('isOpair$','fun_app$'('fst$',X0))
| ~ 'fun_app$c'('isOpair$',X0)
| ~ 'fun_app$c'('isFun$','fun_app$'('snd$',X0))
| ~ 'fun_app$c'('fun_app$h'('subset$','fun_app$'('range$','fun_app$'('snd$',X0))),'fun_app$'('zFfunCod$',X0))
| ( 'fun_app$'('domain$','fun_app$'('snd$',X0)) != 'fun_app$'('zFfunDom$',X0) ) )
& ( ( 'fun_app$c'('fun_app$h'('subset$','fun_app$'('snd$',X0)),'fun_app$'('fun_app$t'('cartProd$','fun_app$'('domain$','fun_app$'('snd$',X0))),'fun_app$'('range$','fun_app$'('snd$',X0))))
& 'fun_app$c'('isOpair$','fun_app$'('fst$',X0))
& 'fun_app$c'('isOpair$',X0)
& 'fun_app$c'('isFun$','fun_app$'('snd$',X0))
& 'fun_app$c'('fun_app$h'('subset$','fun_app$'('range$','fun_app$'('snd$',X0))),'fun_app$'('zFfunCod$',X0))
& ( 'fun_app$'('domain$','fun_app$'('snd$',X0)) = 'fun_app$'('zFfunDom$',X0) ) )
| ~ 'fun_app$c'('isZFfun$',X0) ) ),
inference(nnf_transformation,[],[f247]) ).
tff(f2401,plain,
! [X0: 'ZF$'] :
( ( 'fun_app$c'('isZFfun$',X0)
| ~ 'fun_app$c'('fun_app$h'('subset$','fun_app$'('snd$',X0)),'fun_app$'('fun_app$t'('cartProd$','fun_app$'('domain$','fun_app$'('snd$',X0))),'fun_app$'('range$','fun_app$'('snd$',X0))))
| ~ 'fun_app$c'('isOpair$','fun_app$'('fst$',X0))
| ~ 'fun_app$c'('isOpair$',X0)
| ~ 'fun_app$c'('isFun$','fun_app$'('snd$',X0))
| ~ 'fun_app$c'('fun_app$h'('subset$','fun_app$'('range$','fun_app$'('snd$',X0))),'fun_app$'('zFfunCod$',X0))
| ( 'fun_app$'('domain$','fun_app$'('snd$',X0)) != 'fun_app$'('zFfunDom$',X0) ) )
& ( ( 'fun_app$c'('fun_app$h'('subset$','fun_app$'('snd$',X0)),'fun_app$'('fun_app$t'('cartProd$','fun_app$'('domain$','fun_app$'('snd$',X0))),'fun_app$'('range$','fun_app$'('snd$',X0))))
& 'fun_app$c'('isOpair$','fun_app$'('fst$',X0))
& 'fun_app$c'('isOpair$',X0)
& 'fun_app$c'('isFun$','fun_app$'('snd$',X0))
& 'fun_app$c'('fun_app$h'('subset$','fun_app$'('range$','fun_app$'('snd$',X0))),'fun_app$'('zFfunCod$',X0))
& ( 'fun_app$'('domain$','fun_app$'('snd$',X0)) = 'fun_app$'('zFfunDom$',X0) ) )
| ~ 'fun_app$c'('isZFfun$',X0) ) ),
inference(flattening,[],[f2400]) ).
tff(f3691,plain,
! [X0: 'ZF$'] :
( 'fun_app$c'('fun_app$h'('subset$','fun_app$'('snd$',X0)),'fun_app$'('fun_app$t'('cartProd$','fun_app$'('domain$','fun_app$'('snd$',X0))),'fun_app$'('range$','fun_app$'('snd$',X0))))
| ~ 'fun_app$c'('isZFfun$',X0) ),
inference(cnf_transformation,[],[f2401]) ).
tff(f3715,plain,
'snd$' = 'zFTThd$',
inference(cnf_transformation,[],[f232]) ).
tff(f3794,plain,
~ 'fun_app$c'('fun_app$h'('subset$','fun_app$'('snd$','f$')),'fun_app$'('fun_app$t'('cartProd$','fun_app$'('domain$','fun_app$'('snd$','f$'))),'fun_app$'('range$','fun_app$'('snd$','f$')))),
inference(cnf_transformation,[],[f1200]) ).
tff(f4022,plain,
'fun_app$c'('isZFfun$','f$'),
inference(cnf_transformation,[],[f223]) ).
tff(f4454,plain,
! [X0: 'ZF$'] :
( ~ 'fun_app$c'('isZFfun$',X0)
| 'fun_app$c'('fun_app$h'('subset$','fun_app$'('zFTThd$',X0)),'fun_app$'('fun_app$t'('cartProd$','fun_app$'('domain$','fun_app$'('zFTThd$',X0))),'fun_app$'('range$','fun_app$'('zFTThd$',X0)))) ),
inference(definition_unfolding,[],[f3691,f3715,f3715,f3715]) ).
tff(f4471,plain,
~ 'fun_app$c'('fun_app$h'('subset$','fun_app$'('zFTThd$','f$')),'fun_app$'('fun_app$t'('cartProd$','fun_app$'('domain$','fun_app$'('zFTThd$','f$'))),'fun_app$'('range$','fun_app$'('zFTThd$','f$')))),
inference(definition_unfolding,[],[f3794,f3715,f3715,f3715]) ).
tff(f4696,plain,
$false,
inference(unit_resulting_resolution,[],[f4454,f4022,f4471]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP300_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n019.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 12:53:34 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.81/1.37 % (3066685)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.81/1.37 % (3066693)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3321802019:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.81/1.37 % (3066693)Instruction limit reached!
% 2.81/1.37 % (3066693)------------------------------
% 2.81/1.37 % (3066693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.37 % (3066693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.37 % (3066693)CaDiCaL version: 2.1.3
% 2.81/1.37 % (3066693)Termination reason: Instruction limit
% 2.81/1.37 % (3066693)Termination phase: SInE selection
% 2.81/1.37 % (3066693)Time elapsed: 0.007 s
% 2.81/1.37 % (3066693)Peak memory usage: 86 MB
% 2.81/1.37 % (3066693)Instructions burned: 23 (million)
% 2.81/1.37 % (3066695)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1506462733:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.81/1.37 % (3066696)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=91493971:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.81/1.37 % (3066690)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3841489379:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.81/1.37 % (3066691)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1854609390:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.81/1.37 % (3066694)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=65167407:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.81/1.37 % (3066692)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3579802942:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.81/1.37 % (3066694)Instruction limit reached!
% 2.81/1.37 % (3066694)------------------------------
% 2.81/1.37 % (3066694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.37 % (3066694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.37 % (3066694)CaDiCaL version: 2.1.3
% 2.81/1.37 % (3066694)Termination reason: Instruction limit
% 2.81/1.37 % (3066694)Termination phase: Property scanning
% 2.81/1.37 % (3066694)Time elapsed: 0.004 s
% 2.81/1.37 % (3066694)Peak memory usage: 86 MB
% 2.81/1.37 % (3066694)Instructions burned: 6 (million)
% 2.81/1.37 % (3066690)Instruction limit reached!
% 2.81/1.37 % (3066690)------------------------------
% 2.81/1.37 % (3066690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.37 % (3066690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.37 % (3066690)CaDiCaL version: 2.1.3
% 2.81/1.37 % (3066690)Termination reason: Instruction limit
% 2.81/1.37 % (3066690)Termination phase: shuffling
% 2.81/1.37 % (3066690)Time elapsed: 0.008 s
% 2.81/1.37 % (3066690)Peak memory usage: 86 MB
% 2.81/1.37 % (3066690)Instructions burned: 13 (million)
% 2.81/1.37 % (3066696)Instruction limit reached!
% 2.81/1.37 % (3066696)------------------------------
% 2.81/1.37 % (3066696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.37 % (3066696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.37 % (3066696)CaDiCaL version: 2.1.3
% 2.81/1.37 % (3066696)Termination reason: Instruction limit
% 2.81/1.37 % (3066696)Termination phase: Preprocessing 3
% 2.81/1.37 % (3066696)Time elapsed: 0.020 s
% 2.81/1.37 % (3066696)Peak memory usage: 88 MB
% 2.81/1.37 % (3066696)Instructions burned: 34 (million)
% 2.81/1.37 % (3066695)Instruction limit reached!
% 2.81/1.37 % (3066695)------------------------------
% 2.81/1.37 % (3066695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.37 % (3066695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.37 % (3066695)CaDiCaL version: 2.1.3
% 2.81/1.37 % (3066695)Termination reason: Instruction limit
% 2.81/1.37 % (3066695)Termination phase: Property scanning
% 2.81/1.37 % (3066695)Time elapsed: 0.029 s
% 2.81/1.37 % (3066695)Peak memory usage: 89 MB
% 2.81/1.37 % (3066695)Instructions burned: 46 (million)
% 2.81/1.37 % (3066698)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2270700544:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.81/1.37 % (3066698)Instruction limit reached!
% 2.81/1.37 % (3066698)------------------------------
% 4.35/1.52 % (3066698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.35/1.52 % (3066698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.35/1.52 % (3066698)CaDiCaL version: 2.1.3
% 4.35/1.52 % (3066698)Termination reason: Instruction limit
% 4.35/1.52 % (3066698)Termination phase: SInE selection
% 4.35/1.52 % (3066698)Time elapsed: 0.005 s
% 4.35/1.52 % (3066698)Peak memory usage: 86 MB
% 4.35/1.52 % (3066698)Instructions burned: 16 (million)
% 4.35/1.52 % (3066705)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3353631527:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 4.35/1.52 % (3066706)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=263538384:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.35/1.52 % (3066706)Instruction limit reached!
% 4.35/1.52 % (3066706)------------------------------
% 4.35/1.52 % (3066706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.35/1.52 % (3066706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.35/1.52 % (3066706)CaDiCaL version: 2.1.3
% 4.35/1.52 % (3066706)Termination reason: Instruction limit
% 4.35/1.52 % (3066706)Termination phase: Preprocessing 1
% 4.35/1.52 % (3066706)Time elapsed: 0.011 s
% 4.35/1.52 % (3066706)Peak memory usage: 86 MB
% 4.35/1.52 % (3066706)Instructions burned: 16 (million)
% 4.35/1.52 % (3066708)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=1816099365:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.35/1.52 % (3066707)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2747382442:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.35/1.52 % (3066710)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1117757066:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.35/1.52 % (3066705)Instruction limit reached!
% 4.35/1.52 % (3066705)------------------------------
% 4.35/1.52 % (3066705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.35/1.52 % (3066705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.35/1.52 % (3066705)CaDiCaL version: 2.1.3
% 4.35/1.52 % (3066705)Termination reason: Instruction limit
% 4.35/1.52 % (3066705)Termination phase: Preprocessing 1
% 4.35/1.52 % (3066705)Time elapsed: 0.017 s
% 4.35/1.52 % (3066705)Peak memory usage: 87 MB
% 4.35/1.52 % (3066705)Instructions burned: 29 (million)
% 4.35/1.52 % (3066692)Instruction limit reached!
% 4.35/1.52 % (3066692)------------------------------
% 4.35/1.52 % (3066692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.35/1.52 % (3066692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.35/1.52 % (3066692)CaDiCaL version: 2.1.3
% 4.35/1.52 % (3066692)Termination reason: Instruction limit
% 4.35/1.52 % (3066692)Termination phase: Saturation
% 4.35/1.52 % (3066692)Time elapsed: 0.157 s
% 4.35/1.52 % (3066692)Peak memory usage: 120 MB
% 4.35/1.52 % (3066692)Instructions burned: 202 (million)
% 4.35/1.52 % (3066708)Instruction limit reached!
% 4.35/1.52 % (3066708)------------------------------
% 4.35/1.52 % (3066708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.35/1.52 % (3066708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.35/1.52 % (3066708)CaDiCaL version: 2.1.3
% 4.35/1.52 % (3066708)Termination reason: Instruction limit
% 4.35/1.52 % (3066708)Termination phase: Preprocessing 1
% 4.35/1.52 % (3066708)Time elapsed: 0.014 s
% 4.35/1.52 % (3066708)Peak memory usage: 87 MB
% 4.35/1.52 % (3066708)Instructions burned: 27 (million)
% 4.35/1.52 % (3066707)Instruction limit reached!
% 4.35/1.52 % (3066707)------------------------------
% 4.35/1.52 % (3066707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.35/1.52 % (3066707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.35/1.52 % (3066707)CaDiCaL version: 2.1.3
% 4.35/1.52 % (3066707)Termination reason: Instruction limit
% 4.35/1.52 % (3066707)Termination phase: Preprocessing 1
% 4.35/1.52 % (3066707)Time elapsed: 0.013 s
% 4.35/1.52 % (3066707)Peak memory usage: 87 MB
% 4.35/1.52 % (3066707)Instructions burned: 25 (million)
% 4.35/1.52 % (3066710)Instruction limit reached!
% 4.35/1.52 % (3066710)------------------------------
% 5.01/1.66 % (3066710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.66 % (3066710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.66 % (3066710)CaDiCaL version: 2.1.3
% 5.01/1.66 % (3066710)Termination reason: Instruction limit
% 5.01/1.66 % (3066710)Termination phase: Property scanning
% 5.01/1.66 % (3066710)Time elapsed: 0.026 s
% 5.01/1.66 % (3066710)Peak memory usage: 89 MB
% 5.01/1.66 % (3066710)Instructions burned: 87 (million)
% 5.01/1.66 % (3066691)Instruction limit reached!
% 5.01/1.66 % (3066691)------------------------------
% 5.01/1.66 % (3066691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.66 % (3066691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.66 % (3066691)CaDiCaL version: 2.1.3
% 5.01/1.66 % (3066691)Termination reason: Instruction limit
% 5.01/1.66 % (3066691)Termination phase: Saturation
% 5.01/1.66 % (3066691)Time elapsed: 0.209 s
% 5.01/1.66 % (3066691)Peak memory usage: 120 MB
% 5.01/1.66 % (3066691)Instructions burned: 309 (million)
% 5.01/1.66 % (3066716)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1323003310:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.01/1.66 % (3066716)Instruction limit reached!
% 5.01/1.66 % (3066716)------------------------------
% 5.01/1.66 % (3066716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.66 % (3066716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.66 % (3066716)CaDiCaL version: 2.1.3
% 5.01/1.66 % (3066716)Termination reason: Instruction limit
% 5.01/1.66 % (3066716)Termination phase: shuffling
% 5.01/1.66 % (3066716)Time elapsed: 0.003 s
% 5.01/1.66 % (3066716)Peak memory usage: 86 MB
% 5.01/1.66 % (3066716)Instructions burned: 3 (million)
% 5.01/1.66 % (3066721)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=3996578628:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 5.01/1.66 % (3066721)Instruction limit reached!
% 5.01/1.66 % (3066721)------------------------------
% 5.01/1.66 % (3066721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.66 % (3066721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.66 % (3066721)CaDiCaL version: 2.1.3
% 5.01/1.66 % (3066721)Termination reason: Instruction limit
% 5.01/1.66 % (3066721)Termination phase: Property scanning
% 5.01/1.66 % (3066721)Time elapsed: 0.003 s
% 5.01/1.66 % (3066721)Peak memory usage: 86 MB
% 5.01/1.66 % (3066721)Instructions burned: 10 (million)
% 5.01/1.66 % (3066717)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=500889770:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.01/1.66 % (3066718)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2312731916:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.01/1.66 % (3066718)Instruction limit reached!
% 5.01/1.66 % (3066718)------------------------------
% 5.01/1.66 % (3066718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.66 % (3066718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.66 % (3066718)CaDiCaL version: 2.1.3
% 5.01/1.66 % (3066718)Termination reason: Instruction limit
% 5.01/1.66 % (3066718)Termination phase: Property scanning
% 5.01/1.66 % (3066718)Time elapsed: 0.004 s
% 5.01/1.66 % (3066718)Peak memory usage: 86 MB
% 5.01/1.66 % (3066718)Instructions burned: 5 (million)
% 5.01/1.66 % (3066720)lrs+10_1_thi=all:si=on:fd=off:random_seed=1883141845:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.01/1.66 % (3066719)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=3489987015:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.01/1.66 % (3066720)Instruction limit reached!
% 5.01/1.66 % (3066720)------------------------------
% 5.01/1.66 % (3066720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.66 % (3066720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.66 % (3066720)CaDiCaL version: 2.1.3
% 5.01/1.66 % (3066720)Termination reason: Instruction limit
% 5.01/1.66 % (3066720)Termination phase: Preprocessing 2
% 5.01/1.66 % (3066720)Time elapsed: 0.029 s
% 5.01/1.66 % (3066720)Peak memory usage: 87 MB
% 5.01/1.66 % (3066720)Instructions burned: 53 (million)
% 6.16/1.83 % (3066719)Instruction limit reached!
% 6.16/1.83 % (3066719)------------------------------
% 6.16/1.83 % (3066719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.83 % (3066719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.83 % (3066719)CaDiCaL version: 2.1.3
% 6.16/1.83 % (3066719)Termination reason: Instruction limit
% 6.16/1.83 % (3066719)Termination phase: Property scanning
% 6.16/1.83 % (3066719)Time elapsed: 0.040 s
% 6.16/1.83 % (3066719)Peak memory usage: 89 MB
% 6.16/1.83 % (3066719)Instructions burned: 68 (million)
% 6.16/1.83 % (3066722)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=492238275:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 6.16/1.83 % (3066722)Instruction limit reached!
% 6.16/1.83 % (3066722)------------------------------
% 6.16/1.83 % (3066722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.83 % (3066722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.83 % (3066722)CaDiCaL version: 2.1.3
% 6.16/1.83 % (3066722)Termination reason: Instruction limit
% 6.16/1.83 % (3066722)Termination phase: shuffling
% 6.16/1.83 % (3066722)Time elapsed: 0.003 s
% 6.16/1.83 % (3066722)Peak memory usage: 86 MB
% 6.16/1.83 % (3066722)Instructions burned: 3 (million)
% 6.16/1.83 % (3066726)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=3067988276:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 6.16/1.83 % (3066725)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=1603908968:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 6.16/1.83 % (3066725)Instruction limit reached!
% 6.16/1.83 % (3066725)------------------------------
% 6.16/1.83 % (3066725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.83 % (3066725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.83 % (3066725)CaDiCaL version: 2.1.3
% 6.16/1.83 % (3066725)Termination reason: Instruction limit
% 6.16/1.83 % (3066725)Termination phase: Property scanning
% 6.16/1.83 % (3066725)Time elapsed: 0.003 s
% 6.16/1.83 % (3066725)Peak memory usage: 86 MB
% 6.16/1.83 % (3066725)Instructions burned: 3 (million)
% 6.16/1.83 % (3066717)Instruction limit reached!
% 6.16/1.83 % (3066717)------------------------------
% 6.16/1.83 % (3066717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.83 % (3066717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.83 % (3066717)CaDiCaL version: 2.1.3
% 6.16/1.83 % (3066717)Termination reason: Instruction limit
% 6.16/1.83 % (3066717)Termination phase: Saturation
% 6.16/1.83 % (3066717)Time elapsed: 0.124 s
% 6.16/1.83 % (3066717)Peak memory usage: 92 MB
% 6.16/1.83 % (3066717)Instructions burned: 181 (million)
% 6.16/1.83 % (3066726)Instruction limit reached!
% 6.16/1.83 % (3066726)------------------------------
% 6.16/1.83 % (3066726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.83 % (3066726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.83 % (3066726)CaDiCaL version: 2.1.3
% 6.16/1.83 % (3066726)Termination reason: Instruction limit
% 6.16/1.83 % (3066726)Termination phase: Saturation
% 6.16/1.83 % (3066726)Time elapsed: 0.056 s
% 6.16/1.83 % (3066726)Peak memory usage: 116 MB
% 6.16/1.83 % (3066726)Instructions burned: 128 (million)
% 6.16/1.83 % (3066731)dis+10_1_si=on:random_seed=385097593:i=10:ep=R:rtra=on_2995 on theBenchmark for (2995ds/10Mi)
% 6.16/1.83 % (3066731)Instruction limit reached!
% 6.16/1.83 % (3066731)------------------------------
% 6.16/1.83 % (3066731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.83 % (3066731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.83 % (3066731)CaDiCaL version: 2.1.3
% 6.16/1.83 % (3066731)Termination reason: Instruction limit
% 6.16/1.83 % (3066731)Termination phase: Property scanning
% 6.16/1.83 % (3066731)Time elapsed: 0.007 s
% 6.16/1.83 % (3066731)Peak memory usage: 86 MB
% 6.16/1.83 % (3066731)Instructions burned: 12 (million)
% 6.16/1.83 % (3066732)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=809777643:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 6.16/1.83 % (3066733)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=1053430213:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2994 on theBenchmark for (2994ds/35Mi)
% 8.75/2.14 % (3066732)Instruction limit reached!
% 8.75/2.14 % (3066732)------------------------------
% 8.75/2.14 % (3066732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.14 % (3066732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.14 % (3066732)CaDiCaL version: 2.1.3
% 8.75/2.14 % (3066732)Termination reason: Instruction limit
% 8.75/2.14 % (3066732)Termination phase: Preprocessing 1
% 8.75/2.14 % (3066732)Time elapsed: 0.016 s
% 8.75/2.14 % (3066732)Peak memory usage: 87 MB
% 8.75/2.14 % (3066732)Instructions burned: 26 (million)
% 8.75/2.14 % (3066735)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=4070597581:i=2:fsr=off:rtra=on:inst=on_2994 on theBenchmark for (2994ds/2Mi)
% 8.75/2.14 % (3066735)Instruction limit reached!
% 8.75/2.14 % (3066735)------------------------------
% 8.75/2.14 % (3066735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.14 % (3066735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.14 % (3066735)CaDiCaL version: 2.1.3
% 8.75/2.14 % (3066735)Termination reason: Instruction limit
% 8.75/2.14 % (3066735)Termination phase: shuffling
% 8.75/2.14 % (3066735)Time elapsed: 0.003 s
% 8.75/2.14 % (3066735)Peak memory usage: 86 MB
% 8.75/2.14 % (3066735)Instructions burned: 3 (million)
% 8.75/2.14 % (3066733)Instruction limit reached!
% 8.75/2.14 % (3066733)------------------------------
% 8.75/2.14 % (3066733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.14 % (3066733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.14 % (3066733)CaDiCaL version: 2.1.3
% 8.75/2.14 % (3066733)Termination reason: Instruction limit
% 8.75/2.14 % (3066733)Termination phase: shuffling
% 8.75/2.14 % (3066733)Time elapsed: 0.023 s
% 8.75/2.14 % (3066733)Peak memory usage: 87 MB
% 8.75/2.14 % (3066733)Instructions burned: 36 (million)
% 8.75/2.14 % (3066741)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=3789677777:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2993 on theBenchmark for (2993ds/13Mi)
% 8.75/2.14 % (3066741)Instruction limit reached!
% 8.75/2.14 % (3066741)------------------------------
% 8.75/2.14 % (3066741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.14 % (3066741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.14 % (3066741)CaDiCaL version: 2.1.3
% 8.75/2.14 % (3066741)Termination reason: Instruction limit
% 8.75/2.14 % (3066741)Termination phase: Property scanning
% 8.75/2.14 % (3066741)Time elapsed: 0.004 s
% 8.75/2.14 % (3066741)Peak memory usage: 86 MB
% 8.75/2.14 % (3066741)Instructions burned: 14 (million)
% 8.75/2.14 % (3066738)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=3380904508:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2994 on theBenchmark for (2994ds/8Mi)
% 8.75/2.14 % (3066738)Instruction limit reached!
% 8.75/2.14 % (3066738)------------------------------
% 8.75/2.14 % (3066738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.14 % (3066738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.14 % (3066738)CaDiCaL version: 2.1.3
% 8.75/2.14 % (3066738)Termination reason: Instruction limit
% 8.75/2.14 % (3066738)Termination phase: Property scanning
% 8.75/2.14 % (3066738)Time elapsed: 0.006 s
% 8.75/2.14 % (3066738)Peak memory usage: 86 MB
% 8.75/2.14 % (3066738)Instructions burned: 10 (million)
% 8.75/2.14 % (3066739)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=848718296:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 8.75/2.14 % (3066742)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=2078515907:i=226:rtra=on:gtg=position:ss=axioms_2993 on theBenchmark for (2993ds/226Mi)
% 8.75/2.14 % (3066751)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3953652836:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2992 on theBenchmark for (2992ds/294Mi)
% 8.75/2.14 % (3066745)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=151804452:i=10:rtra=on_2993 on theBenchmark for (2993ds/10Mi)
% 8.75/2.14 % (3066745)Instruction limit reached!
% 8.75/2.14 % (3066745)------------------------------
% 8.75/2.14 % (3066745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.20 % (3066745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.20 % (3066745)CaDiCaL version: 2.1.3
% 8.74/2.20 % (3066745)Termination reason: Instruction limit
% 8.74/2.20 % (3066745)Termination phase: Property scanning
% 8.74/2.20 % (3066745)Time elapsed: 0.007 s
% 8.74/2.20 % (3066745)Peak memory usage: 86 MB
% 8.74/2.20 % (3066745)Instructions burned: 12 (million)
% 8.74/2.20 % (3066747)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=166516786:i=71:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/71Mi)
% 8.74/2.20 % (3066748)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=3713180505:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2993 on theBenchmark for (2993ds/75Mi)
% 8.74/2.20 % (3066752)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=3410147013:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2992 on theBenchmark for (2992ds/130Mi)
% 8.74/2.20 % (3066747)Instruction limit reached!
% 8.74/2.20 % (3066747)------------------------------
% 8.74/2.20 % (3066747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.20 % (3066747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.20 % (3066747)CaDiCaL version: 2.1.3
% 8.74/2.20 % (3066747)Termination reason: Instruction limit
% 8.74/2.20 % (3066747)Termination phase: Equality resolution with deletion
% 8.74/2.20 % (3066747)Time elapsed: 0.040 s
% 8.74/2.20 % (3066747)Peak memory usage: 89 MB
% 8.74/2.20 % (3066747)Instructions burned: 72 (million)
% 8.74/2.20 % (3066748)Instruction limit reached!
% 8.74/2.20 % (3066748)------------------------------
% 8.74/2.20 % (3066748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.20 % (3066748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.20 % (3066748)CaDiCaL version: 2.1.3
% 8.74/2.20 % (3066748)Termination reason: Instruction limit
% 8.74/2.20 % (3066748)Termination phase: Property scanning
% 8.74/2.20 % (3066748)Time elapsed: 0.042 s
% 8.74/2.20 % (3066748)Peak memory usage: 90 MB
% 8.74/2.20 % (3066748)Instructions burned: 76 (million)
% 8.74/2.20 % (3066751)Instruction limit reached!
% 8.74/2.20 % (3066751)------------------------------
% 8.74/2.20 % (3066751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.20 % (3066751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.20 % (3066751)CaDiCaL version: 2.1.3
% 8.74/2.20 % (3066751)Termination reason: Instruction limit
% 8.74/2.20 % (3066751)Termination phase: Saturation
% 8.74/2.20 % (3066751)Time elapsed: 0.112 s
% 8.74/2.20 % (3066751)Peak memory usage: 94 MB
% 8.74/2.20 % (3066751)Instructions burned: 296 (million)
% 8.74/2.20 % (3066742)Instruction limit reached!
% 8.74/2.20 % (3066742)------------------------------
% 8.74/2.20 % (3066742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.20 % (3066742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.20 % (3066742)CaDiCaL version: 2.1.3
% 8.74/2.20 % (3066742)Termination reason: Instruction limit
% 8.74/2.20 % (3066742)Termination phase: Saturation
% 8.74/2.20 % (3066742)Time elapsed: 0.148 s
% 8.74/2.20 % (3066742)Peak memory usage: 118 MB
% 8.74/2.20 % (3066742)Instructions burned: 227 (million)
% 8.74/2.20 % (3066752)Instruction limit reached!
% 8.74/2.20 % (3066752)------------------------------
% 8.74/2.20 % (3066752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.20 % (3066752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.20 % (3066752)CaDiCaL version: 2.1.3
% 8.74/2.20 % (3066752)Termination reason: Instruction limit
% 8.74/2.20 % (3066752)Termination phase: Saturation
% 8.74/2.20 % (3066752)Time elapsed: 0.090 s
% 8.74/2.20 % (3066752)Peak memory usage: 115 MB
% 8.74/2.20 % (3066752)Instructions burned: 130 (million)
% 8.74/2.20 % (3066757)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=2340834583:i=131:rtra=on_2991 on theBenchmark for (2991ds/131Mi)
% 8.74/2.20 % (3066762)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=756265742:i=307:rtra=on:gtg=exists_top_2991 on theBenchmark for (2991ds/307Mi)
% 8.74/2.20 % (3066739)Instruction limit reached!
% 8.74/2.20 % (3066739)------------------------------
% 8.74/2.20 % (3066739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.20 % (3066739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.20 % (3066739)CaDiCaL version: 2.1.3
% 8.74/2.20 % (3066739)Termination reason: Instruction limit
% 8.74/2.20 % (3066739)Termination phase: Saturation
% 8.74/2.20 % (3066739)Time elapsed: 0.234 s
% 8.74/2.20 % (3066739)Peak memory usage: 96 MB
% 8.74/2.20 % (3066739)Instructions burned: 371 (million)
% 8.74/2.20 % (3066761)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=2370280016:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2991 on theBenchmark for (2991ds/40Mi)
% 8.74/2.20 % (3066763)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=672431110:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/598Mi)
% 8.74/2.20 % (3066761)Instruction limit reached!
% 8.74/2.20 % (3066761)------------------------------
% 8.74/2.20 % (3066761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.20 % (3066761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.20 % (3066761)CaDiCaL version: 2.1.3
% 8.74/2.20 % (3066761)Termination reason: Instruction limit
% 8.74/2.20 % (3066761)Termination phase: Property scanning
% 8.74/2.20 % (3066761)Time elapsed: 0.021 s
% 8.74/2.20 % (3066761)Peak memory usage: 86 MB
% 8.74/2.20 % (3066761)Instructions burned: 41 (million)
% 8.74/2.20 % (3066764)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=741351000:i=131:canc=cautious:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/131Mi)
% 8.74/2.20 % (3066765)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=2531946380:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2990 on theBenchmark for (2990ds/259Mi)
% 8.74/2.20 % (3066757)Instruction limit reached!
% 8.74/2.20 % (3066757)------------------------------
% 8.74/2.20 % (3066757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.20 % (3066757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.20 % (3066757)CaDiCaL version: 2.1.3
% 8.74/2.20 % (3066757)Termination reason: Instruction limit
% 8.74/2.20 % (3066757)Termination phase: Saturation
% 8.74/2.20 % (3066757)Time elapsed: 0.123 s
% 8.74/2.20 % (3066757)Peak memory usage: 133 MB
% 8.74/2.20 % (3066757)Instructions burned: 132 (million)
% 8.74/2.20 % (3066762)First to succeed.
% 8.74/2.20 % (3066762)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3066685"
% 8.74/2.20 % (3066768)dis+10_1_si=on:random_seed=2647771279:s2a=on:i=1000:rtra=on:gtg=exists_all_2990 on theBenchmark for (2990ds/1000Mi)
% 8.74/2.20 % (3066763)Also succeeded, but the first one will report.
% 8.74/2.20 % (3066764)Instruction limit reached!
% 8.74/2.20 % (3066764)------------------------------
% 8.74/2.20 % (3066764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.20 % (3066764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.20 % (3066764)CaDiCaL version: 2.1.3
% 8.74/2.20 % (3066764)Termination reason: Instruction limit
% 8.74/2.20 % (3066764)Termination phase: Saturation
% 8.74/2.20 % (3066764)Time elapsed: 0.096 s
% 8.74/2.20 % (3066764)Peak memory usage: 115 MB
% 8.74/2.20 % (3066764)Instructions burned: 132 (million)
% 8.74/2.20 % (3066771)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=3143798229:i=383:fsr=off:rtra=on:ev=force_2989 on theBenchmark for (2989ds/383Mi)
% 8.74/2.20 % (3066774)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=334942044:i=141:doe=on:rtra=on_2989 on theBenchmark for (2989ds/141Mi)
% 8.74/2.20 % (3066765)Instruction limit reached!
% 8.74/2.20 % (3066765)------------------------------
% 8.74/2.20 % (3066765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.20 % (3066765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.20 % (3066765)CaDiCaL version: 2.1.3
% 8.74/2.20 % (3066765)Termination reason: Instruction limit
% 8.74/2.20 % (3066765)Termination phase: Saturation
% 8.74/2.20 % (3066765)Time elapsed: 0.182 s
% 8.74/2.20 % (3066765)Peak memory usage: 118 MB
% 8.74/2.20 % (3066765)Instructions burned: 259 (million)
% 8.74/2.20 % (3066776)lrs+10_1024_to=kbo:sil=128000:fde=unused:sas=z3:si=on:norm_ineq=on:sos=on:tha=off:random_seed=812692452:i=65:nm=16:rtra=on_2988 on theBenchmark for (2988ds/65Mi)
% 8.74/2.20 % (3066776)Instruction limit reached!
% 8.74/2.20 % (3066776)------------------------------
% 8.74/2.20 % (3066776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.20 % (3066776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.20 % (3066776)CaDiCaL version: 2.1.3
% 8.74/2.20 % (3066776)Termination reason: Instruction limit
% 8.74/2.20 % (3066776)Termination phase: Property scanning
% 8.74/2.20 % (3066776)Time elapsed: 0.038 s
% 8.74/2.20 % (3066776)Peak memory usage: 89 MB
% 8.74/2.20 % (3066776)Instructions burned: 67 (million)
% 8.74/2.20 % (3066774)Instruction limit reached!
% 8.74/2.20 % (3066774)------------------------------
% 8.74/2.20 % (3066774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.20 % (3066774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.20 % (3066774)CaDiCaL version: 2.1.3
% 8.74/2.20 % (3066774)Termination reason: Instruction limit
% 8.74/2.20 % (3066774)Termination phase: Saturation
% 8.74/2.20 % (3066774)Time elapsed: 0.084 s
% 8.74/2.20 % (3066774)Peak memory usage: 92 MB
% 8.74/2.20 % (3066774)Instructions burned: 141 (million)
% 8.74/2.20 % (3066768)Also succeeded, but the first one will report.
% 8.74/2.20 % (3066762)Refutation found. Thanks to Tanya!
% 8.74/2.20 % SZS status Theorem for theBenchmark
% 8.74/2.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.30 % (3066762)------------------------------
% 0.16/2.30 % (3066762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.30 % (3066762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.30 % (3066762)CaDiCaL version: 2.1.3
% 0.16/2.30 % (3066762)Termination reason: Refutation
% 0.16/2.30 % (3066762)Time elapsed: 0.115 s
% 0.16/2.30 % (3066762)Peak memory usage: 94 MB
% 0.16/2.30 % (3066762)Instructions burned: 180 (million)
% 0.16/2.30 % (3066762)------------------------------
% 0.16/2.30 % (3066762)------------------------------
% 0.16/2.30 % (3066685)Success in time 1.353 s
% 0.16/2.30 % Vampire exiting
%------------------------------------------------------------------------------