%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP301_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:39:17 AM UTC 2026
% Result : Theorem 0.94s 0.64s
% Output : Refutation 0.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 36 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 62 ( 60 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 84 ( 82 usr; 1 prp; 0-3 aty)
% Number of functors : 439 ( 439 usr; 43 con; 0-7 aty)
% Number of variables : 23 ( 23 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'B_ZF_fun_set$': $tType ).
tff(type_def_6,type,
'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$': $tType ).
tff(type_def_7,type,
'ZF_set$': $tType ).
tff(type_def_8,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$': $tType ).
tff(type_def_9,type,
'Unit_unit_fun$': $tType ).
tff(type_def_10,type,
'A_b_b_c_LSCategory_ext_Category_ext$': $tType ).
tff(type_def_11,type,
'ZF_ZF_prod_set$': $tType ).
tff(type_def_12,type,
'ZF_set_set$': $tType ).
tff(type_def_13,type,
'ZF_set_ZF_set_fun$': $tType ).
tff(type_def_14,type,
'ZF_ZF_set_fun$': $tType ).
tff(type_def_15,type,
'A_b_fun_set$': $tType ).
tff(type_def_16,type,
'ZF_ZF_prod_ZF_fun$': $tType ).
tff(type_def_17,type,
'B_c_LSCategory_ext$': $tType ).
tff(type_def_18,type,
'B_b_fun$': $tType ).
tff(type_def_19,type,
'B_b_fun_b_b_fun_fun$': $tType ).
tff(type_def_20,type,
'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$': $tType ).
tff(type_def_21,type,
'ZF_ZF_prod$': $tType ).
tff(type_def_22,type,
'B_b_prod_set$': $tType ).
tff(type_def_23,type,
'B$': $tType ).
tff(type_def_24,type,
'ZF_ZF_ZF_fun_fun$': $tType ).
tff(type_def_25,type,
'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$': $tType ).
tff(type_def_26,type,
'C$': $tType ).
tff(type_def_27,type,
'ZF_b_fun$': $tType ).
tff(type_def_28,type,
'B_ZF_fun_b_ZF_fun_fun$': $tType ).
tff(type_def_29,type,
'Nat$': $tType ).
tff(type_def_30,type,
'B_b_prod_bool_fun$': $tType ).
tff(type_def_31,type,
'ZF_ZF_prod_ZF_fun_set$': $tType ).
tff(type_def_32,type,
'ZF_ZF_fun$': $tType ).
tff(type_def_33,type,
'ZF_ZF_prod_bool_fun$': $tType ).
tff(type_def_34,type,
'ZF_ZF_fun_set$': $tType ).
tff(type_def_35,type,
'B_b_prod_b_fun_set$': $tType ).
tff(type_def_36,type,
'B_a_fun$': $tType ).
tff(type_def_37,type,
'B_b_prod$': $tType ).
tff(type_def_38,type,
'ZF_ZF_fun_ZF_ZF_fun_fun$': $tType ).
tff(type_def_39,type,
'A_bool_fun$': $tType ).
tff(type_def_40,type,
'A_set$': $tType ).
tff(type_def_41,type,
'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$': $tType ).
tff(type_def_42,type,
'A_b_fun$': $tType ).
tff(type_def_43,type,
'B_set$': $tType ).
tff(type_def_44,type,
'A_b_fun_bool_fun$': $tType ).
tff(type_def_45,type,
'A$': $tType ).
tff(type_def_46,type,
'ZF_ZF_unit_Category_ext$': $tType ).
tff(type_def_47,type,
'ZF_ZF_fun_bool_fun$': $tType ).
tff(type_def_48,type,
'B_b_prod_b_fun$': $tType ).
tff(type_def_49,type,
'B_set_b_set_fun$': $tType ).
tff(type_def_50,type,
'B_a_fun_b_a_fun_fun$': $tType ).
tff(type_def_51,type,
'ZF_bool_fun$': $tType ).
tff(type_def_52,type,
'ZF_b_fun_ZF_b_fun_fun$': $tType ).
tff(type_def_53,type,
'B_b_b_fun_fun$': $tType ).
tff(type_def_54,type,
'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$': $tType ).
tff(type_def_55,type,
'A_set_a_set_fun$': $tType ).
tff(type_def_56,type,
'ZF_set_bool_fun$': $tType ).
tff(type_def_57,type,
'Unit$': $tType ).
tff(type_def_58,type,
'ZF$': $tType ).
tff(type_def_59,type,
'B_ZF_fun$': $tType ).
tff(type_def_60,type,
'B_a_fun_set$': $tType ).
tff(type_def_61,type,
'Nat_ZF_fun$': $tType ).
tff(type_def_62,type,
'B_a_fun_bool_fun$': $tType ).
tff(type_def_63,type,
'B_bool_fun$': $tType ).
tff(type_def_64,type,
'B_ZF_fun_bool_fun$': $tType ).
tff(func_def_0,type,
'uu$': 'A_set$' > 'A_bool_fun$' ).
tff(func_def_1,type,
'ext_ZF_n$': ( 'ZF_ZF_prod_set$' * 'ZF$' ) > 'Nat_ZF_fun$' ).
tff(func_def_2,type,
'more$b': 'ZF_ZF_unit_Category_ext$' > 'Unit$' ).
tff(func_def_3,type,
'mor_update$a': ( 'B_set_b_set_fun$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_4,type,
'id$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_b_fun$' ).
tff(func_def_5,type,
'fun_app$x': ( 'ZF_set_ZF_set_fun$' * 'ZF_set$' ) > 'ZF_set$' ).
tff(func_def_6,type,
'uuu$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_7,type,
'functorComp$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_8,type,
'catDom$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_9,type,
'oppositeCategory$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_10,type,
'extensional$c': 'B_set$' > 'B_a_fun_set$' ).
tff(func_def_11,type,
'mapO$a': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'ZF$' ) > 'A$' ).
tff(func_def_12,type,
'mapM_update$c': ( 'B_ZF_fun_b_ZF_fun_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_13,type,
'trancl$': 'ZF_ZF_prod_set$' > 'ZF_ZF_prod_set$' ).
tff(func_def_14,type,
'c$': 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_15,type,
'collect$': 'ZF_ZF_prod_bool_fun$' > 'ZF_ZF_prod_set$' ).
tff(func_def_16,type,
'uuq$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' ) > 'ZF_bool_fun$' ).
tff(func_def_17,type,
'mapM$a': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF_b_fun$' ).
tff(func_def_18,type,
'unitFunctor$': 'ZF_ZF_unit_Category_ext$' > 'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$' ).
tff(func_def_19,type,
'x$': 'A$' ).
tff(func_def_20,type,
'constFunctor$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_21,type,
'the$a': 'B_bool_fun$' > 'B$' ).
tff(func_def_22,type,
'catCod$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_23,type,
'mapsTo$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' * 'A$' ) > 'A_bool_fun$' ).
tff(func_def_24,type,
'obj$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_set$' ).
tff(func_def_25,type,
'case_prod$': 'ZF_ZF_ZF_fun_fun$' > 'ZF_ZF_prod_ZF_fun$' ).
tff(func_def_26,type,
'collect$i': 'A_b_fun_bool_fun$' > 'A_b_fun_set$' ).
tff(func_def_27,type,
'makeFtor$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_28,type,
'catDom$c': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_29,type,
'cod_update$': ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_30,type,
'upair$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_31,type,
'fun_app$w': ( 'Nat_ZF_fun$' * 'Nat$' ) > 'ZF$' ).
tff(func_def_32,type,
'catCod$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_33,type,
'top$': 'ZF_set$' ).
tff(func_def_34,type,
'restrict$a': ( 'B_b_prod_b_fun$' * 'B_b_prod_set$' * 'B_b_prod$' ) > 'B$' ).
tff(func_def_35,type,
'constFunctor$a': ( 'ZF_ZF_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_36,type,
'id_update$': ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_37,type,
'inverse_rel$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' ) > 'B_bool_fun$' ).
tff(func_def_38,type,
'uuc$': 'ZF_set_set$' > 'ZF_set_bool_fun$' ).
tff(func_def_39,type,
'fun_app$ac': ( 'ZF_ZF_set_fun$' * 'ZF$' ) > 'ZF_set$' ).
tff(func_def_40,type,
'f$': 'B$' ).
tff(func_def_41,type,
'obj_update$': ( 'ZF_set_ZF_set_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_42,type,
'collect$g': 'B_ZF_fun_bool_fun$' > 'B_ZF_fun_set$' ).
tff(func_def_43,type,
'ext$': ( 'ZF_ZF_prod_set$' * 'ZF$' ) > 'ZF_set$' ).
tff(func_def_44,type,
'uus$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_b_prod_bool_fun$' ).
tff(func_def_45,type,
'pFun$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_46,type,
'makeCat$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_47,type,
'z$': 'A$' ).
tff(func_def_48,type,
'collect$a': 'B_b_prod_bool_fun$' > 'B_b_prod_set$' ).
tff(func_def_49,type,
'fun_app$r': ( 'ZF_b_fun_ZF_b_fun_fun$' * 'ZF_b_fun$' ) > 'ZF_b_fun$' ).
tff(func_def_50,type,
'makeFtor$b': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_51,type,
'pair$a': ( 'B$' * 'B$' ) > 'B_b_prod$' ).
tff(func_def_52,type,
'mapM$b': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'B_b_fun$' ).
tff(func_def_53,type,
'mapO$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' ) > 'ZF$' ).
tff(func_def_54,type,
'singleton$': 'ZF_ZF_fun$' ).
tff(func_def_55,type,
'seqSum$': 'Nat_ZF_fun$' > 'ZF$' ).
tff(func_def_56,type,
'case_prod$a': 'B_b_b_fun_fun$' > 'B_b_prod_b_fun$' ).
tff(func_def_57,type,
'constFunctor$c': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_58,type,
'sum$': 'ZF_ZF_fun$' ).
tff(func_def_59,type,
'mor$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).
tff(func_def_60,type,
'app$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_61,type,
'set$': 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_62,type,
'functorComp$c': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).
tff(func_def_63,type,
'uuw$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$' ) > 'ZF_bool_fun$' ).
tff(func_def_64,type,
'mapO$c': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_65,type,
'catDom$b': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_66,type,
'unity$': 'Unit$' ).
tff(func_def_67,type,
'identityFunctor$c': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_68,type,
'empty$': 'ZF$' ).
tff(func_def_69,type,
'uue$': 'ZF_ZF_fun_set$' > 'ZF_ZF_fun_bool_fun$' ).
tff(func_def_70,type,
'fun_app$aa': ( 'B_a_fun_b_a_fun_fun$' * 'B_a_fun$' ) > 'B_a_fun$' ).
tff(func_def_71,type,
'repl$': ( 'ZF$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_72,type,
'more$c': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'Unit$' ).
tff(func_def_73,type,
'of_nat$': 'Nat$' > $int ).
tff(func_def_74,type,
'fun_app$l': ( 'B_b_fun$' * 'B$' ) > 'B$' ).
tff(func_def_75,type,
'mor2ZF$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_ZF_fun$' ).
tff(func_def_76,type,
'catDom$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_77,type,
'comp_update$': ( 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_78,type,
'zFfun$': ( 'ZF$' * 'ZF$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_79,type,
'uva$': 'ZF$' > 'ZF_bool_fun$' ).
tff(func_def_80,type,
'fun_app$z': ( 'B_set_b_set_fun$' * 'B_set$' ) > 'B_set$' ).
tff(func_def_81,type,
'identityFunctor$b': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).
tff(func_def_82,type,
'uuo$': 'ZF_bool_fun$' ).
tff(func_def_83,type,
'uul$': 'ZF_ZF_fun$' ).
tff(func_def_84,type,
'universe$': 'ZF_bool_fun$' ).
tff(func_def_85,type,
'zFfunCod$': 'ZF_ZF_fun$' ).
tff(func_def_86,type,
'uun$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_87,type,
'more$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_c_LSCategory_ext$' ).
tff(func_def_88,type,
'uui$': 'B_b_prod_set$' > 'B_b_prod_bool_fun$' ).
tff(func_def_89,type,
'fun_app$k': ( 'ZF_ZF_ZF_fun_fun$' * 'ZF$' ) > 'ZF_ZF_fun$' ).
tff(func_def_90,type,
'homFtor$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_91,type,
'category_ext$': ( 'A_set$' * 'B_set$' * 'B_a_fun$' * 'B_a_fun$' * 'A_b_fun$' * 'B_b_b_fun_fun$' * 'B_c_LSCategory_ext$' ) > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_92,type,
'constFunctor$f': ( 'ZF_ZF_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_93,type,
'snd$': 'ZF_ZF_fun$' ).
tff(func_def_94,type,
'cod$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_a_fun$' ).
tff(func_def_95,type,
'uuk$': 'ZF$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_96,type,
'restrict$c': ( 'B_a_fun$' * 'B_set$' ) > 'B_a_fun$' ).
tff(func_def_97,type,
'set$a': 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_98,type,
'compDefined$': ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_bool_fun$' ).
tff(func_def_99,type,
'extensional$b': 'ZF_set$' > 'ZF_ZF_fun_set$' ).
tff(func_def_100,type,
'collect$d': 'ZF_bool_fun$' > 'ZF_set$' ).
tff(func_def_101,type,
'mapM$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B_ZF_fun$' ).
tff(func_def_102,type,
'objIso$a': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'A_bool_fun$' ).
tff(func_def_103,type,
'inverse$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_b_fun$' ).
tff(func_def_104,type,
'functorComp$b': ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_105,type,
'mapM_update$a': ( 'B_b_fun_b_b_fun_fun$' * 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ) > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_106,type,
'mapM_update$': ( 'ZF_b_fun_ZF_b_fun_fun$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ) > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_107,type,
'ext_ZF$': 'ZF_ZF_prod_set$' > 'ZF_ZF_fun$' ).
tff(func_def_108,type,
'is_Elem_of$': 'ZF_ZF_prod_set$' ).
tff(func_def_109,type,
'restrict$e': ( 'ZF_ZF_fun$' * 'ZF_set$' ) > 'ZF_ZF_fun$' ).
tff(func_def_110,type,
'constFunctor$e': ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).
tff(func_def_111,type,
'fun_app$m': ( 'B_b_b_fun_fun$' * 'B$' ) > 'B_b_fun$' ).
tff(func_def_112,type,
'catCod$c': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_113,type,
'functor_ext$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'B_ZF_fun$' * 'Unit$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_114,type,
'zFfunComp$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_115,type,
'compDefined$a': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' ) > 'B_bool_fun$' ).
tff(func_def_116,type,
'oppositeCategory$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_117,type,
'the$': 'ZF_bool_fun$' > 'ZF$' ).
tff(func_def_118,type,
'ext_ZF_hull$': 'ZF_ZF_prod_set$' > 'ZF_ZF_fun$' ).
tff(func_def_119,type,
'restrict$d': ( 'A_b_fun$' * 'A_set$' ) > 'A_b_fun$' ).
tff(func_def_120,type,
'implode$': 'ZF_set$' > 'ZF$' ).
tff(func_def_121,type,
'fst$': 'ZF_ZF_fun$' ).
tff(func_def_122,type,
'objIso$': ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_bool_fun$' ).
tff(func_def_123,type,
'fun_app$v': ( 'Unit_unit_fun$' * 'Unit$' ) > 'Unit$' ).
tff(func_def_124,type,
'mapO$b': ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A$' ) > 'A$' ).
tff(func_def_125,type,
'identityFunctor$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_126,type,
'lSCategory_ext$': ( 'B_ZF_fun$' * 'C$' ) > 'B_c_LSCategory_ext$' ).
tff(func_def_127,type,
'collect$b': 'A_bool_fun$' > 'A_set$' ).
tff(func_def_128,type,
'identityFunctor$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).
tff(func_def_129,type,
'nat2Nat$': 'Nat_ZF_fun$' ).
tff(func_def_130,type,
'functorComp$a': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ) > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_131,type,
'homSet$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$' ) > 'ZF$' ).
tff(func_def_132,type,
'uvb$': ( 'ZF$' * 'ZF_bool_fun$' ) > 'ZF_bool_fun$' ).
tff(func_def_133,type,
'y$': 'A$' ).
tff(func_def_134,type,
'union$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_135,type,
'uud$': 'ZF_ZF_prod_set$' > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_136,type,
'extensional$': 'B_set$' > 'B_ZF_fun_set$' ).
tff(func_def_137,type,
'nat$a': $int > 'Nat$' ).
tff(func_def_138,type,
'uux$': 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_139,type,
'nat2nat$': 'ZF$' > 'Nat$' ).
tff(func_def_140,type,
'fun_app$u': ( 'B_ZF_fun_b_ZF_fun_fun$' * 'B_ZF_fun$' ) > 'B_ZF_fun$' ).
tff(func_def_141,type,
'fun_app$q': ( 'B_a_fun$' * 'B$' ) > 'A$' ).
tff(func_def_142,type,
'fun_app$p': ( 'ZF_b_fun$' * 'ZF$' ) > 'B$' ).
tff(func_def_143,type,
'uum$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_b_b_fun_fun$' ).
tff(func_def_144,type,
'collect$h': 'B_a_fun_bool_fun$' > 'B_a_fun_set$' ).
tff(func_def_145,type,
'uvc$': ( 'ZF$' * 'ZF_bool_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_146,type,
'inverse$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_147,type,
'collect$f': 'ZF_ZF_fun_bool_fun$' > 'ZF_ZF_fun_set$' ).
tff(func_def_148,type,
'dom_update$': ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_149,type,
'category_ext$a': ( '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_150,type,
'fun_app$o': ( 'A_b_fun$' * 'A$' ) > 'B$' ).
tff(func_def_151,type,
'isOpair$': 'ZF_bool_fun$' ).
tff(func_def_152,type,
'homFtorMap$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'B_ZF_fun$' ).
tff(func_def_153,type,
'sucNat$': 'ZF_ZF_fun$' ).
tff(func_def_154,type,
'fun_app$s': ( 'B_b_fun_b_b_fun_fun$' * 'B_b_fun$' ) > 'B_b_fun$' ).
tff(func_def_155,type,
'fun_app$t': ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_156,type,
'uuv$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_157,type,
'opair$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_158,type,
'restrict$': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod$' ) > 'ZF$' ).
tff(func_def_159,type,
'isFun$': 'ZF_bool_fun$' ).
tff(func_def_160,type,
'collect$e': 'ZF_set_bool_fun$' > 'ZF_set_set$' ).
tff(func_def_161,type,
'extensional$d': 'B_b_prod_set$' > 'B_b_prod_b_fun_set$' ).
tff(func_def_162,type,
'uuf$': 'B_ZF_fun_set$' > 'B_ZF_fun_bool_fun$' ).
tff(func_def_163,type,
'more_update$': ( 'Unit_unit_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_164,type,
'comp$b': 'ZF_ZF_fun$' > 'ZF_ZF_fun_ZF_ZF_fun_fun$' ).
tff(func_def_165,type,
'makeFtor$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).
tff(func_def_166,type,
'less_eq$': 'ZF_set$' > 'ZF_set_bool_fun$' ).
tff(func_def_167,type,
'fun_app$n': ( 'B_ZF_fun$' * 'B$' ) > 'ZF$' ).
tff(func_def_168,type,
'uut$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_b_b_fun_fun$' ).
tff(func_def_169,type,
'dom$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_a_fun$' ).
tff(func_def_170,type,
'uur$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF$' ) > 'B_bool_fun$' ).
tff(func_def_171,type,
'zFfunDom$': 'ZF_ZF_fun$' ).
tff(func_def_172,type,
'uug$': 'B_a_fun_set$' > 'B_a_fun_bool_fun$' ).
tff(func_def_173,type,
'zFfunApp$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_174,type,
'dom_update$a': ( 'B_a_fun_b_a_fun_fun$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_175,type,
'range$': 'ZF_ZF_fun$' ).
tff(func_def_176,type,
'isomorphism$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_bool_fun$' ).
tff(func_def_177,type,
'lambda$': ( 'ZF$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_178,type,
'cod$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_179,type,
'hOMCollection$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$' ) > 'ZF_set$' ).
tff(func_def_180,type,
'comp$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_181,type,
'isomorphism$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_bool_fun$' ).
tff(func_def_182,type,
'eps$': 'ZF_bool_fun$' > 'ZF$' ).
tff(func_def_183,type,
'zF2mor$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'ZF_b_fun$' ).
tff(func_def_184,type,
'obj_update$a': ( 'A_set_a_set_fun$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_185,type,
'fun$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_186,type,
'uuh$': 'A_b_fun_set$' > 'A_b_fun_bool_fun$' ).
tff(func_def_187,type,
'mapM$c': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_188,type,
'constFunctor$d': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_189,type,
'obj$': 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).
tff(func_def_190,type,
'elem$': 'ZF$' > 'ZF_bool_fun$' ).
tff(func_def_191,type,
'makeFtor$c': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_192,type,
'comp$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_b_b_fun_fun$' ).
tff(func_def_193,type,
'extensional$a': 'A_set$' > 'A_b_fun_set$' ).
tff(func_def_194,type,
'inf$': 'ZF$' ).
tff(func_def_195,type,
'uuy$': 'ZF$' > 'ZF_bool_fun$' ).
tff(func_def_196,type,
'collect$c': 'B_bool_fun$' > 'B_set$' ).
tff(func_def_197,type,
'fun_app$': ( 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_198,type,
'makeCat$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_199,type,
'mapM_update$b': ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).
tff(func_def_200,type,
'constFunctor$b': ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).
tff(func_def_201,type,
'cod_update$a': ( 'B_a_fun_b_a_fun_fun$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_202,type,
'extensional$e': 'ZF_ZF_prod_set$' > 'ZF_ZF_prod_ZF_fun_set$' ).
tff(func_def_203,type,
'mapsTo$a': ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' * 'ZF$' ) > 'ZF_bool_fun$' ).
tff(func_def_204,type,
'power$': 'ZF_ZF_fun$' ).
tff(func_def_205,type,
'sep$': ( 'ZF$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_206,type,
'fun_app$ab': ( 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_ZF_fun_fun$' ) > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_207,type,
'uup$': 'ZF_ZF_fun$' ).
tff(func_def_208,type,
'uua$': 'B_set$' > 'B_bool_fun$' ).
tff(func_def_209,type,
'id$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_210,type,
'domain$': 'ZF_ZF_fun$' ).
tff(func_def_211,type,
'image$': ( 'ZF_ZF_set_fun$' * 'ZF_set$' ) > 'ZF_set_set$' ).
tff(func_def_212,type,
'restrict$b': ( 'B_ZF_fun$' * 'B_set$' ) > 'B_ZF_fun$' ).
tff(func_def_213,type,
'fun_app$y': ( 'A_set_a_set_fun$' * 'A_set$' ) > 'A_set$' ).
tff(func_def_214,type,
'homFtor$a': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_215,type,
'nat$': 'ZF$' ).
tff(func_def_216,type,
'pair$': ( 'ZF$' * 'ZF$' ) > 'ZF_ZF_prod$' ).
tff(func_def_217,type,
'more$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'C$' ).
tff(func_def_218,type,
'member$b': 'ZF$' > 'ZF_set_bool_fun$' ).
tff(func_def_219,type,
'uuz$': ( 'ZF$' * 'ZF$' ) > 'ZF_bool_fun$' ).
tff(func_def_220,type,
'inverse_rel$a': ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_bool_fun$' ).
tff(func_def_221,type,
'mor_update$': ( 'ZF_set_ZF_set_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_222,type,
'catCod$b': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_223,type,
'uuj$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' ) > 'ZF_ZF_fun$' ).
tff(func_def_224,type,
'explode$': 'ZF_ZF_set_fun$' ).
tff(func_def_225,type,
'isZFfun$': 'ZF_bool_fun$' ).
tff(func_def_226,type,
'product$': 'ZF_ZF_fun$' ).
tff(func_def_227,type,
'cartProd$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_228,type,
'uub$': 'ZF_set$' > 'ZF_bool_fun$' ).
tff(func_def_229,type,
'dom$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_230,type,
'subset$': 'ZF$' > 'ZF_bool_fun$' ).
tff(func_def_231,type,
'mor$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_set$' ).
tff(func_def_236,type,
sK0: 'ZF_ZF_prod$' > 'ZF$' ).
tff(func_def_237,type,
sK1: 'ZF_ZF_prod$' > 'ZF$' ).
tff(func_def_238,type,
sK2: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_239,type,
sK3: ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_prod$' ) > 'ZF$' ).
tff(func_def_240,type,
sK4: ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_prod$' ) > 'ZF$' ).
tff(func_def_241,type,
sK5: ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B_b_prod$' ) > 'B$' ).
tff(func_def_242,type,
sK6: ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B_b_prod$' ) > 'B$' ).
tff(func_def_243,type,
sK7: ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$' * 'ZF$' ) > 'B$' ).
tff(func_def_244,type,
sK8: ( 'ZF_b_fun$' * 'ZF_b_fun_ZF_b_fun_fun$' * 'ZF_b_fun_ZF_b_fun_fun$' ) > 'ZF_b_fun$' ).
tff(func_def_245,type,
sK9: ( 'B_b_fun$' * 'B_b_fun_b_b_fun_fun$' * 'B_b_fun_b_b_fun_fun$' ) > 'B_b_fun$' ).
tff(func_def_246,type,
sK10: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_247,type,
sK11: ( 'B_ZF_fun$' * 'B_ZF_fun_b_ZF_fun_fun$' * 'B_ZF_fun_b_ZF_fun_fun$' ) > 'B_ZF_fun$' ).
tff(func_def_248,type,
sK12: ( 'ZF_b_fun$' * 'ZF_b_fun_ZF_b_fun_fun$' * 'ZF_b_fun_ZF_b_fun_fun$' ) > 'ZF_b_fun$' ).
tff(func_def_249,type,
sK13: ( 'B_b_fun$' * 'B_b_fun_b_b_fun_fun$' * 'B_b_fun_b_b_fun_fun$' ) > 'B_b_fun$' ).
tff(func_def_250,type,
sK14: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_251,type,
sK15: ( 'B_ZF_fun$' * 'B_ZF_fun_b_ZF_fun_fun$' * 'B_ZF_fun_b_ZF_fun_fun$' ) > 'B_ZF_fun$' ).
tff(func_def_252,type,
sK16: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).
tff(func_def_253,type,
sK17: ( 'B_bool_fun$' * 'B_bool_fun$' ) > 'B$' ).
tff(func_def_254,type,
sK18: ( 'A_bool_fun$' * 'A_bool_fun$' ) > 'A$' ).
tff(func_def_255,type,
sK19: ( 'B_b_prod_bool_fun$' * 'B_b_prod_bool_fun$' ) > 'B_b_prod$' ).
tff(func_def_256,type,
sK20: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_257,type,
sK21: ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_258,type,
sK22: ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' ) > 'B$' ).
tff(func_def_259,type,
sK23: ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_260,type,
sK24: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_261,type,
sK25: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_262,type,
sK26: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_263,type,
sK27: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_264,type,
sK28: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_265,type,
sK29: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_266,type,
sK30: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_267,type,
sK31: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_268,type,
sK32: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_269,type,
sK33: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_270,type,
sK34: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_271,type,
sK35: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_272,type,
sK36: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_273,type,
sK42: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_274,type,
sK43: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_275,type,
sK44: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_276,type,
sK45: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_277,type,
sK46: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_278,type,
sK47: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_279,type,
sK48: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_280,type,
sK49: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_281,type,
sK50: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_282,type,
sK51: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_283,type,
sK52: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_284,type,
sK53: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_285,type,
sK54: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_286,type,
sK60: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_287,type,
sK61: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_288,type,
sK62: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_289,type,
sK63: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_290,type,
sK64: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_291,type,
sK65: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_292,type,
sK66: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_293,type,
sK67: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_294,type,
sK68: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_295,type,
sK69: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_296,type,
sK70: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_297,type,
sK71: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_298,type,
sK72: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_299,type,
sK78: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_300,type,
sK79: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_301,type,
sK80: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_302,type,
sK81: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_303,type,
sK82: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_304,type,
sK83: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_305,type,
sK84: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_306,type,
sK85: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_307,type,
sK86: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_308,type,
sK87: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_309,type,
sK88: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_310,type,
sK89: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_311,type,
sK90: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_312,type,
sK96: 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF$' ).
tff(func_def_313,type,
sK97: 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF$' ).
tff(func_def_314,type,
sK98: 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF$' ).
tff(func_def_315,type,
sK99: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'A$' ).
tff(func_def_316,type,
sK100: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'B$' ).
tff(func_def_317,type,
sK101: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'B$' ).
tff(func_def_318,type,
sK102: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF$' ).
tff(func_def_319,type,
sK103: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF$' ).
tff(func_def_320,type,
sK104: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF$' ).
tff(func_def_321,type,
sK105: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_322,type,
sK106: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_323,type,
sK107: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_324,type,
sK108: 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF$' ).
tff(func_def_325,type,
sK109: 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF$' ).
tff(func_def_326,type,
sK110: 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF$' ).
tff(func_def_327,type,
sK111: ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_328,type,
sK112: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'A$' ).
tff(func_def_329,type,
sK113: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'B$' ).
tff(func_def_330,type,
sK114: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'B$' ).
tff(func_def_331,type,
sK115: ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A$' ) > 'A$' ).
tff(func_def_332,type,
sK116: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF$' ).
tff(func_def_333,type,
sK117: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF$' ).
tff(func_def_334,type,
sK118: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF$' ).
tff(func_def_335,type,
sK119: ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'ZF$' ) > 'A$' ).
tff(func_def_336,type,
sK120: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_337,type,
sK121: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_338,type,
sK122: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_339,type,
sK123: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' ) > 'ZF$' ).
tff(func_def_340,type,
sK124: ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_341,type,
sK125: ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A$' ) > 'A$' ).
tff(func_def_342,type,
sK126: ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'ZF$' ) > 'A$' ).
tff(func_def_343,type,
sK127: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' ) > 'ZF$' ).
tff(func_def_344,type,
sK128: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_345,type,
sK129: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_346,type,
sK130: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_347,type,
sK131: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_348,type,
sK132: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_349,type,
sK133: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_350,type,
sK134: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).
tff(func_def_351,type,
sK135: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).
tff(func_def_352,type,
sK136: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_353,type,
sK137: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_354,type,
sK138: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_355,type,
sK139: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_356,type,
sK140: 'ZF_ZF_unit_Category_ext$' > 'Unit$' ).
tff(func_def_357,type,
sK141: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF$' ) > 'A$' ).
tff(func_def_358,type,
sK142: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' * 'A$' * 'ZF$' ) > 'B$' ).
tff(func_def_359,type,
sK143: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'ZF$' ).
tff(func_def_360,type,
sK144: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_361,type,
sK145: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_362,type,
sK146: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_363,type,
sK147: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_364,type,
sK148: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_365,type,
sK149: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_366,type,
sK150: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'ZF$' ).
tff(func_def_367,type,
sK152: ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_368,type,
sK153: ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$' ) > 'B$' ).
tff(func_def_369,type,
sK154: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_370,type,
sK155: 'ZF_bool_fun$' > 'ZF$' ).
tff(func_def_371,type,
sK156: ( 'ZF_bool_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_372,type,
sK157: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_373,type,
sK158: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_374,type,
sK159: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_375,type,
sK160: ( 'ZF$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_376,type,
sK161: ( 'ZF$' * 'Nat_ZF_fun$' ) > 'Nat$' ).
tff(func_def_377,type,
sK162: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_378,type,
sK163: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).
tff(func_def_379,type,
sK164: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).
tff(func_def_380,type,
sK165: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_381,type,
sK166: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_382,type,
sK167: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_383,type,
sK168: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_384,type,
sK169: ( 'A_set$' * 'A_set_a_set_fun$' * 'A_set_a_set_fun$' ) > 'A_set$' ).
tff(func_def_385,type,
sK170: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).
tff(func_def_386,type,
sK171: ( 'A_set$' * 'A_set_a_set_fun$' * 'A_set_a_set_fun$' ) > 'A_set$' ).
tff(func_def_387,type,
sK172: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).
tff(func_def_388,type,
sK173: ( 'B_set$' * 'B_set_b_set_fun$' * 'B_set_b_set_fun$' ) > 'B_set$' ).
tff(func_def_389,type,
sK174: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).
tff(func_def_390,type,
sK175: ( 'B_set$' * 'B_set_b_set_fun$' * 'B_set_b_set_fun$' ) > 'B_set$' ).
tff(func_def_391,type,
sK176: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).
tff(func_def_392,type,
sK177: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_393,type,
sK178: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_394,type,
sK179: ( 'B_a_fun$' * 'B_a_fun_b_a_fun_fun$' * 'B_a_fun_b_a_fun_fun$' ) > 'B_a_fun$' ).
tff(func_def_395,type,
sK180: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_396,type,
sK181: ( 'B_a_fun$' * 'B_a_fun_b_a_fun_fun$' * 'B_a_fun_b_a_fun_fun$' ) > 'B_a_fun$' ).
tff(func_def_397,type,
sK182: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_398,type,
sK183: ( 'B_a_fun$' * 'B_a_fun_b_a_fun_fun$' * 'B_a_fun_b_a_fun_fun$' ) > 'B_a_fun$' ).
tff(func_def_399,type,
sK184: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_400,type,
sK185: ( 'B_a_fun$' * 'B_a_fun_b_a_fun_fun$' * 'B_a_fun_b_a_fun_fun$' ) > 'B_a_fun$' ).
tff(func_def_401,type,
sK186: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_402,type,
sK187: ( 'ZF_ZF_ZF_fun_fun$' * 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' ) > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_403,type,
sK188: ( 'ZF_ZF_ZF_fun_fun$' * 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' ) > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_404,type,
sK189: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_405,type,
sK190: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_406,type,
sK191: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_407,type,
sK192: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_408,type,
sK193: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_409,type,
sK194: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_410,type,
sK195: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_411,type,
sK196: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_412,type,
sK197: 'ZF$' > 'ZF$' ).
tff(func_def_413,type,
sK198: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_414,type,
sK199: 'ZF$' > 'ZF$' ).
tff(func_def_415,type,
sK200: 'ZF$' > 'ZF$' ).
tff(func_def_416,type,
sK201: 'ZF$' > 'ZF$' ).
tff(func_def_417,type,
sK202: 'ZF$' > 'ZF$' ).
tff(func_def_418,type,
sK203: 'ZF$' > 'ZF$' ).
tff(func_def_419,type,
sK205: 'ZF$' > 'ZF$' ).
tff(func_def_420,type,
sK206: 'ZF$' > 'ZF$' ).
tff(func_def_421,type,
sK207: 'ZF$' > 'ZF$' ).
tff(func_def_422,type,
sK208: 'ZF$' > 'ZF$' ).
tff(func_def_423,type,
sK209: 'ZF$' > 'ZF$' ).
tff(func_def_424,type,
sK211: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_425,type,
sK212: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_426,type,
sK213: ( 'ZF$' * 'ZF$' ) > 'ZF_ZF_fun$' ).
tff(func_def_427,type,
sK214: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_428,type,
sK215: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_429,type,
sK216: ( 'ZF$' * 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_430,type,
sK217: ( 'ZF$' * 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_431,type,
sK218: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_432,type,
sK219: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_433,type,
sK220: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_434,type,
sK221: 'ZF$' > 'ZF$' ).
tff(func_def_435,type,
sK222: 'ZF$' > 'ZF$' ).
tff(func_def_436,type,
sK223: 'ZF$' > 'ZF$' ).
tff(func_def_437,type,
sK224: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_438,type,
sK225: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_439,type,
sK226: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_440,type,
sK227: 'ZF$' > 'ZF$' ).
tff(func_def_441,type,
sK228: ( 'ZF$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_442,type,
sK229: ( 'ZF$' * 'ZF$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(pred_def_1,type,
'member$a': ( 'B_b_prod$' * 'B_b_prod_set$' ) > $o ).
tff(pred_def_2,type,
'functor_abbrev$a': ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).
tff(pred_def_3,type,
'fun_app$d': ( 'ZF_set_bool_fun$' * 'ZF_set$' ) > $o ).
tff(pred_def_4,type,
'fun_app$b': ( 'ZF_bool_fun$' * 'ZF$' ) > $o ).
tff(pred_def_5,type,
'member$f': ( 'B_a_fun$' * 'B_a_fun_set$' ) > $o ).
tff(pred_def_6,type,
'lSCategory$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_7,type,
'member$d': ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_set$' ) > $o ).
tff(pred_def_8,type,
'member$j': ( 'B_b_prod_b_fun$' * 'B_b_prod_b_fun_set$' ) > $o ).
tff(pred_def_9,type,
'functor_comp_def$f': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ) > $o ).
tff(pred_def_10,type,
'functorM$a': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_11,type,
'functorM$b': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).
tff(pred_def_12,type,
'functor_comp_def$e': ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > $o ).
tff(pred_def_13,type,
'functor$b': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).
tff(pred_def_14,type,
'member$g': ( 'A_b_fun$' * 'A_b_fun_set$' ) > $o ).
tff(pred_def_15,type,
'set_like$': 'ZF_ZF_prod_set$' > $o ).
tff(pred_def_16,type,
'lSCategory_axioms$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_17,type,
'functorM$': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).
tff(pred_def_18,type,
'equivalence$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_19,type,
'extCategory$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_20,type,
'fun_app$c': ( 'B_b_prod_bool_fun$' * 'B_b_prod$' ) > $o ).
tff(pred_def_21,type,
'functorM_axioms$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_22,type,
'member$c': ( 'ZF_set$' * 'ZF_set_set$' ) > $o ).
tff(pred_def_23,type,
'extCategory$': 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_24,type,
'functor_abbrev$b': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).
tff(pred_def_25,type,
'category_axioms$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_26,type,
'functorM$c': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_27,type,
'equivalence_axioms$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_28,type,
'category$': 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_29,type,
'fun_app$e': ( 'ZF_ZF_fun_bool_fun$' * 'ZF_ZF_fun$' ) > $o ).
tff(pred_def_30,type,
'functor_abbrev$': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'ZF_ZF_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).
tff(pred_def_31,type,
'fun_app$j': ( 'A_bool_fun$' * 'A$' ) > $o ).
tff(pred_def_32,type,
'fun_app$g': ( 'B_a_fun_bool_fun$' * 'B_a_fun$' ) > $o ).
tff(pred_def_33,type,
'functor_comp_def$g': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > $o ).
tff(pred_def_34,type,
'member$h': ( 'B$' * 'B_set$' ) > $o ).
tff(pred_def_35,type,
'member$i': ( 'A$' * 'A_set$' ) > $o ).
tff(pred_def_36,type,
'functor_abbrev$c': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).
tff(pred_def_37,type,
'functor_comp_def$b': ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ) > $o ).
tff(pred_def_38,type,
'category_axioms$a': 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_39,type,
'fun_app$a': ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod$' ) > $o ).
tff(pred_def_40,type,
'functor$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_41,type,
'preFunctor$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_42,type,
'preFunctor$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_43,type,
'functor_comp_def$d': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > $o ).
tff(pred_def_44,type,
'fun_app$i': ( 'B_bool_fun$' * 'B$' ) > $o ).
tff(pred_def_45,type,
'member$': ( 'ZF_ZF_prod$' * 'ZF_ZF_prod_set$' ) > $o ).
tff(pred_def_46,type,
'functor_comp_def$a': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > $o ).
tff(pred_def_47,type,
'functor$c': 'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_48,type,
'fun_app$h': ( 'A_b_fun_bool_fun$' * 'A_b_fun$' ) > $o ).
tff(pred_def_49,type,
'preFunctor$c': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).
tff(pred_def_50,type,
'preFunctor$b': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).
tff(pred_def_51,type,
'functor$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_52,type,
'regular$': 'ZF_ZF_prod_set$' > $o ).
tff(pred_def_53,type,
'functor_comp_def$': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ) > $o ).
tff(pred_def_54,type,
'functorExt$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_55,type,
'functor_comp_def$c': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ) > $o ).
tff(pred_def_56,type,
'fun_app$f': ( 'B_ZF_fun_bool_fun$' * 'B_ZF_fun$' ) > $o ).
tff(pred_def_57,type,
'member$k': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_ZF_fun_set$' ) > $o ).
tff(pred_def_58,type,
'member$e': ( 'B_ZF_fun$' * 'B_ZF_fun_set$' ) > $o ).
tff(pred_def_59,type,
'category$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_62,type,
sP37: ( 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).
tff(pred_def_63,type,
sP38: ( 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).
tff(pred_def_64,type,
sP39: ( 'A$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).
tff(pred_def_65,type,
sP40: ( 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).
tff(pred_def_66,type,
sP41: ( 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).
tff(pred_def_67,type,
sP55: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).
tff(pred_def_68,type,
sP56: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).
tff(pred_def_69,type,
sP57: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).
tff(pred_def_70,type,
sP58: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).
tff(pred_def_71,type,
sP59: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).
tff(pred_def_72,type,
sP73: ( 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).
tff(pred_def_73,type,
sP74: ( 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).
tff(pred_def_74,type,
sP75: ( 'A$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).
tff(pred_def_75,type,
sP76: ( 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).
tff(pred_def_76,type,
sP77: ( 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).
tff(pred_def_77,type,
sP91: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).
tff(pred_def_78,type,
sP92: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).
tff(pred_def_79,type,
sP93: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).
tff(pred_def_80,type,
sP94: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).
tff(pred_def_81,type,
sP95: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).
tff(pred_def_82,type,
sP151: ( 'ZF$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > $o ).
tff(pred_def_83,type,
sP204: ( 'ZF$' * 'ZF$' ) > $o ).
tff(pred_def_84,type,
sP210: ( 'ZF$' * 'ZF$' ) > $o ).
tff(f31,conjecture,
'fun_app$b'('mapsTo$a'('set$','fun_app$n'('mapM$'('homFtor$'('c$','x$')),'f$'),'mapO$'('homFtor$'('c$','x$'),'z$')),'mapO$'('homFtor$'('c$','x$'),'y$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture30) ).
tff(f32,negated_conjecture,
~ 'fun_app$b'('mapsTo$a'('set$','fun_app$n'('mapM$'('homFtor$'('c$','x$')),'f$'),'mapO$'('homFtor$'('c$','x$'),'z$')),'mapO$'('homFtor$'('c$','x$'),'y$')),
inference(negated_conjecture,[status(cth)],[f31]) ).
tff(f33,axiom,
'fun_app$q'('dom$'('c$'),'f$') = 'z$',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom31) ).
tff(f34,axiom,
'fun_app$q'('cod$'('c$'),'f$') = 'y$',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom32) ).
tff(f36,axiom,
'mapO$'('homFtor$'('c$','x$'),'y$') = 'homSet$'('c$','x$','y$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom34) ).
tff(f37,axiom,
'mapO$'('homFtor$'('c$','x$'),'z$') = 'homSet$'('c$','x$','z$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom35) ).
tff(f38,axiom,
'fun_app$n'('mapM$'('homFtor$'('c$','x$')),'f$') = 'fun_app$n'('homFtorMap$'('c$','x$'),'f$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom36) ).
tff(f39,axiom,
'fun_app$b'('mapsTo$a'('set$','fun_app$n'('homFtorMap$'('c$','x$'),'f$'),'homSet$'('c$','x$','fun_app$q'('dom$'('c$'),'f$'))),'homSet$'('c$','x$','fun_app$q'('cod$'('c$'),'f$'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom37) ).
tff(f431,axiom,
! [X0: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X1: 'A$'] : ( 'mapO$'(X0,X1) = 'the$'('uuq$'(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom429) ).
tff(f439,axiom,
! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] : ( 'homFtor$'(X0,X1) = 'functor_ext$'(X0,'set$','homFtorMap$'(X0,X1),'unity$') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom437) ).
tff(f448,axiom,
! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$',X2: 'A$'] : ( 'hOMCollection$'(X0,X1,X2) = 'collect$d'('uuw$'(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom446) ).
tff(f450,axiom,
! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$',X2: 'A$'] : ( 'homSet$'(X0,X1,X2) = 'implode$'('hOMCollection$'(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom448) ).
tff(f573,plain,
~ 'fun_app$b'('mapsTo$a'('set$','fun_app$n'('mapM$'('homFtor$'('c$','x$')),'f$'),'mapO$'('homFtor$'('c$','x$'),'z$')),'mapO$'('homFtor$'('c$','x$'),'y$')),
inference(flattening,[],[f32]) ).
tff(f1276,plain,
~ 'fun_app$b'('mapsTo$a'('set$','fun_app$n'('mapM$'('homFtor$'('c$','x$')),'f$'),'mapO$'('homFtor$'('c$','x$'),'z$')),'mapO$'('homFtor$'('c$','x$'),'y$')),
inference(cnf_transformation,[],[f573]) ).
tff(f1277,plain,
'z$' = 'fun_app$q'('dom$'('c$'),'f$'),
inference(cnf_transformation,[],[f33]) ).
tff(f1278,plain,
'y$' = 'fun_app$q'('cod$'('c$'),'f$'),
inference(cnf_transformation,[],[f34]) ).
tff(f1280,plain,
'mapO$'('homFtor$'('c$','x$'),'y$') = 'homSet$'('c$','x$','y$'),
inference(cnf_transformation,[],[f36]) ).
tff(f1281,plain,
'mapO$'('homFtor$'('c$','x$'),'z$') = 'homSet$'('c$','x$','z$'),
inference(cnf_transformation,[],[f37]) ).
tff(f1282,plain,
'fun_app$n'('mapM$'('homFtor$'('c$','x$')),'f$') = 'fun_app$n'('homFtorMap$'('c$','x$'),'f$'),
inference(cnf_transformation,[],[f38]) ).
tff(f1283,plain,
'fun_app$b'('mapsTo$a'('set$','fun_app$n'('homFtorMap$'('c$','x$'),'f$'),'homSet$'('c$','x$','fun_app$q'('dom$'('c$'),'f$'))),'homSet$'('c$','x$','fun_app$q'('cod$'('c$'),'f$'))),
inference(cnf_transformation,[],[f39]) ).
tff(f1907,plain,
! [X0: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X1: 'A$'] : ( 'mapO$'(X0,X1) = 'the$'('uuq$'(X0,X1)) ),
inference(cnf_transformation,[],[f431]) ).
tff(f1915,plain,
! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] : ( 'homFtor$'(X0,X1) = 'functor_ext$'(X0,'set$','homFtorMap$'(X0,X1),'unity$') ),
inference(cnf_transformation,[],[f439]) ).
tff(f1932,plain,
! [X2: 'A$',X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] : ( 'hOMCollection$'(X0,X1,X2) = 'collect$d'('uuw$'(X0,X1,X2)) ),
inference(cnf_transformation,[],[f448]) ).
tff(f1934,plain,
! [X2: 'A$',X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] : ( 'homSet$'(X0,X1,X2) = 'implode$'('hOMCollection$'(X0,X1,X2)) ),
inference(cnf_transformation,[],[f450]) ).
tff(f2174,plain,
! [X2: 'A$',X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] : ( 'homSet$'(X0,X1,X2) = 'implode$'('collect$d'('uuw$'(X0,X1,X2))) ),
inference(definition_unfolding,[],[f1934,f1932]) ).
tff(f2177,plain,
~ 'fun_app$b'('mapsTo$a'('set$','fun_app$n'('mapM$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$')),'f$'),'the$'('uuq$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$'),'z$'))),'the$'('uuq$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$'),'y$'))),
inference(definition_unfolding,[],[f1276,f1915,f1907,f1915,f1907,f1915]) ).
tff(f2178,plain,
'the$'('uuq$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$'),'y$')) = 'implode$'('collect$d'('uuw$'('c$','x$','y$'))),
inference(definition_unfolding,[],[f1280,f1907,f1915,f2174]) ).
tff(f2179,plain,
'the$'('uuq$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$'),'z$')) = 'implode$'('collect$d'('uuw$'('c$','x$','z$'))),
inference(definition_unfolding,[],[f1281,f1907,f1915,f2174]) ).
tff(f2180,plain,
'fun_app$n'('homFtorMap$'('c$','x$'),'f$') = 'fun_app$n'('mapM$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$')),'f$'),
inference(definition_unfolding,[],[f1282,f1915]) ).
tff(f2181,plain,
'fun_app$b'('mapsTo$a'('set$','fun_app$n'('homFtorMap$'('c$','x$'),'f$'),'implode$'('collect$d'('uuw$'('c$','x$','fun_app$q'('dom$'('c$'),'f$'))))),'implode$'('collect$d'('uuw$'('c$','x$','fun_app$q'('cod$'('c$'),'f$'))))),
inference(definition_unfolding,[],[f1283,f2174,f2174]) ).
tff(f2435,plain,
~ 'fun_app$b'('mapsTo$a'('set$','fun_app$n'('mapM$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$')),'f$'),'implode$'('collect$d'('uuw$'('c$','x$','z$')))),'the$'('uuq$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$'),'y$'))),
inference(superposition,[],[f2177,f2179]) ).
tff(f2436,plain,
~ 'fun_app$b'('mapsTo$a'('set$','fun_app$n'('mapM$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$')),'f$'),'implode$'('collect$d'('uuw$'('c$','x$','z$')))),'implode$'('collect$d'('uuw$'('c$','x$','y$')))),
inference(forward_demodulation,[],[f2435,f2178]) ).
tff(f2438,plain,
~ 'fun_app$b'('mapsTo$a'('set$','fun_app$n'('homFtorMap$'('c$','x$'),'f$'),'implode$'('collect$d'('uuw$'('c$','x$','z$')))),'implode$'('collect$d'('uuw$'('c$','x$','y$')))),
inference(forward_demodulation,[],[f2436,f2180]) ).
tff(f2460,plain,
'fun_app$b'('mapsTo$a'('set$','fun_app$n'('homFtorMap$'('c$','x$'),'f$'),'implode$'('collect$d'('uuw$'('c$','x$','fun_app$q'('dom$'('c$'),'f$'))))),'implode$'('collect$d'('uuw$'('c$','x$','y$')))),
inference(forward_demodulation,[],[f2181,f1278]) ).
tff(f2461,plain,
'fun_app$b'('mapsTo$a'('set$','fun_app$n'('homFtorMap$'('c$','x$'),'f$'),'implode$'('collect$d'('uuw$'('c$','x$','z$')))),'implode$'('collect$d'('uuw$'('c$','x$','y$')))),
inference(forward_demodulation,[],[f2460,f1277]) ).
tff(f2462,plain,
$false,
inference(forward_subsumption_resolution,[],[f2461,f2438]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP301_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n002.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 12:56:21 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.94/0.64 % (3504661)Will run a generic schedule for satisfiability detection.
% 0.94/0.64 % (3504666)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1126067165_2999 on theBenchmark for (2999ds/0Mi)
% 0.94/0.64 % (3504667)% WARNING: option uhcvi not known.
% 0.94/0.64 % (3504667)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=935601284:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.94/0.64 % (3504668)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4256836075:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.94/0.64 % (3504669)dis+10_1_sil=32000:sp=arity:random_seed=254055774:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.94/0.64 % (3504670)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3666689141:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.94/0.64 % (3504671)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3676597232:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.94/0.64 % (3504672)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4265984558:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.94/0.64 % (3504666)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.94/0.64 % (3504666)Terminated due to inappropriate strategy.
% 0.94/0.64 % (3504666)------------------------------
% 0.94/0.64 % (3504666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.64 % (3504666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.64 % (3504666)CaDiCaL version: 2.1.3
% 0.94/0.64 % (3504666)Termination reason: Inappropriate
% 0.94/0.64 % (3504666)Time elapsed: 0.024 s
% 0.94/0.64 % (3504666)Peak memory usage: 12 MB
% 0.94/0.64 % (3504666)Instructions burned: 90 (million)
% 0.94/0.64 % (3504666)------------------------------
% 0.94/0.64 % (3504666)------------------------------
% 0.94/0.64 % (3504680)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3276922629:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.94/0.64 % (3504680)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.94/0.64 % (3504680)Terminated due to inappropriate strategy.
% 0.94/0.64 % (3504680)------------------------------
% 0.94/0.64 % (3504680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.64 % (3504680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.64 % (3504680)CaDiCaL version: 2.1.3
% 0.94/0.64 % (3504680)Termination reason: Inappropriate
% 0.94/0.64 % (3504680)Time elapsed: 0.018 s
% 0.94/0.64 % (3504680)Peak memory usage: 12 MB
% 0.94/0.64 % (3504680)Instructions burned: 70 (million)
% 0.94/0.64 % (3504680)------------------------------
% 0.94/0.64 % (3504680)------------------------------
% 0.94/0.64 % (3504669)Instruction limit reached!
% 0.94/0.64 % (3504669)------------------------------
% 0.94/0.64 % (3504669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.64 % (3504669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.64 % (3504669)CaDiCaL version: 2.1.3
% 0.94/0.64 % (3504669)Termination reason: Instruction limit
% 0.94/0.64 % (3504669)Termination phase: Saturation
% 0.94/0.64 % (3504669)Time elapsed: 0.052 s
% 0.94/0.64 % (3504669)Peak memory usage: 13 MB
% 0.94/0.64 % (3504669)Instructions burned: 103 (million)
% 0.94/0.64 % (3504670)Instruction limit reached!
% 0.94/0.64 % (3504670)------------------------------
% 0.94/0.64 % (3504670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.64 % (3504670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.64 % (3504670)CaDiCaL version: 2.1.3
% 0.94/0.64 % (3504670)Termination reason: Instruction limit
% 0.94/0.64 % (3504670)Termination phase: Saturation
% 0.94/0.64 % (3504670)Time elapsed: 0.055 s
% 0.94/0.64 % (3504670)Peak memory usage: 13 MB
% 0.94/0.64 % (3504670)Instructions burned: 116 (million)
% 0.94/0.64 % (3504682)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1601630878:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.94/0.64 % (3504671)Instruction limit reached!
% 0.94/0.64 % (3504671)------------------------------
% 0.94/0.64 % (3504671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.64 % (3504671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.64 % (3504671)CaDiCaL version: 2.1.3
% 0.94/0.64 % (3504671)Termination reason: Instruction limit
% 0.94/0.64 % (3504671)Termination phase: Saturation
% 0.94/0.64 % (3504671)Time elapsed: 0.068 s
% 0.94/0.64 % (3504671)Peak memory usage: 14 MB
% 0.94/0.64 % (3504671)Instructions burned: 131 (million)
% 0.94/0.64 % (3504683)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1634340388:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.94/0.64 % (3504684)ott-21_1_sil=16000:fs=off:random_seed=1090665331:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.94/0.64 % (3504686)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1492149178:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.94/0.64 % (3504672)Instruction limit reached!
% 0.94/0.64 % (3504672)------------------------------
% 0.94/0.64 % (3504672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.64 % (3504672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.64 % (3504672)CaDiCaL version: 2.1.3
% 0.94/0.64 % (3504672)Termination reason: Instruction limit
% 0.94/0.64 % (3504672)Termination phase: Saturation
% 0.94/0.64 % (3504672)Time elapsed: 0.088 s
% 0.94/0.64 % (3504672)Peak memory usage: 15 MB
% 0.94/0.64 % (3504672)Instructions burned: 159 (million)
% 0.94/0.64 % (3504682)Instruction limit reached!
% 0.94/0.64 % (3504682)------------------------------
% 0.94/0.64 % (3504682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.64 % (3504682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.64 % (3504682)CaDiCaL version: 2.1.3
% 0.94/0.64 % (3504682)Termination reason: Instruction limit
% 0.94/0.64 % (3504682)Termination phase: Saturation
% 0.94/0.64 % (3504682)Time elapsed: 0.036 s
% 0.94/0.64 % (3504682)Peak memory usage: 14 MB
% 0.94/0.64 % (3504682)Instructions burned: 133 (million)
% 0.94/0.64 % (3504691)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=315997574:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 0.94/0.64 % (3504690)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1893485908:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.94/0.64 % (3504683) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3504661-3504683"...
% 0.94/0.64 % (3504683)...printing done.
% 0.94/0.64 % (3504683)Refutation found. Thanks to Tanya!
% 0.94/0.64 % SZS status Theorem for theBenchmark
% 0.94/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 0.94/0.64 % (3504683)------------------------------
% 0.94/0.64 % (3504683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.64 % (3504683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.64 % (3504683)CaDiCaL version: 2.1.3
% 0.94/0.64 % (3504683)Termination reason: Refutation
% 0.94/0.64 % (3504683)Time elapsed: 0.052 s
% 0.94/0.64 % (3504683)Peak memory usage: 15 MB
% 0.94/0.64 % (3504683)Instructions burned: 103 (million)
% 0.94/0.64 % (3504661)Success in time 0.199 s
% 0.94/0.64 % Vampire exiting
%------------------------------------------------------------------------------