%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP301_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 11:33:33 AM UTC 2026
% Result : Theorem 4.34s 1.66s
% Output : Refutation 5.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 43 ( 43 unt; 0 typ; 6 def)
% Number of atoms : 43 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 5 ( 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 : 62 ( 60 usr; 1 prp; 0-3 aty)
% Number of functors : 248 ( 248 usr; 49 con; 0-7 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% 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$' ).
tff(func_def_235,type,
sK1: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF$' ).
tff(func_def_236,type,
sK2: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_237,type,
sK3: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_238,type,
sK4: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_239,type,
sK5: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_240,type,
sK6: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_241,type,
sK7: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_242,type,
sK8: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' ) > 'ZF$' ).
tff(func_def_243,type,
sK9: ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' ) > 'B$' ).
tff(func_def_244,type,
sK10: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' ) > 'ZF$' ).
tff(func_def_245,type,
sF11: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_246,type,
sF12: 'B_ZF_fun$' ).
tff(func_def_247,type,
sF13: 'ZF$' ).
tff(func_def_248,type,
sF14: 'ZF$' ).
tff(func_def_249,type,
sF15: 'ZF_bool_fun$' ).
tff(func_def_250,type,
sF16: '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$' > $o ).
tff(pred_def_62,type,
sP0: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(f31,conjecture,
'fun_app$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/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom31) ).
tff(f34,axiom,
'fun_app$q'('cod$'('c$'),'f$') = 'y$',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom32) ).
tff(f36,axiom,
'mapO$'('homFtor$'('c$','x$'),'y$') = 'homSet$'('c$','x$','y$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom34) ).
tff(f37,axiom,
'mapO$'('homFtor$'('c$','x$'),'z$') = 'homSet$'('c$','x$','z$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom35) ).
tff(f38,axiom,
'fun_app$n'('mapM$'('homFtor$'('c$','x$')),'f$') = 'fun_app$n'('homFtorMap$'('c$','x$'),'f$'),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom37) ).
tff(f561,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$')),
inference(flattening,[],[f32]) ).
tff(f842,plain,
'fun_app$n'('mapM$'('homFtor$'('c$','x$')),'f$') = 'fun_app$n'('homFtorMap$'('c$','x$'),'f$'),
inference(cnf_transformation,[],[f38]) ).
tff(f863,plain,
'mapO$'('homFtor$'('c$','x$'),'z$') = 'homSet$'('c$','x$','z$'),
inference(cnf_transformation,[],[f37]) ).
tff(f872,plain,
'mapO$'('homFtor$'('c$','x$'),'y$') = 'homSet$'('c$','x$','y$'),
inference(cnf_transformation,[],[f36]) ).
tff(f880,plain,
'y$' = 'fun_app$q'('cod$'('c$'),'f$'),
inference(cnf_transformation,[],[f34]) ).
tff(f906,plain,
'fun_app$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$'))),
inference(cnf_transformation,[],[f39]) ).
tff(f919,plain,
'z$' = 'fun_app$q'('dom$'('c$'),'f$'),
inference(cnf_transformation,[],[f33]) ).
tff(f938,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$')),
inference(cnf_transformation,[],[f561]) ).
tff(f970,definition,
sF11 = 'homFtor$'('c$','x$'),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
tff(f971,plain,
'homFtor$'('c$','x$') = sF11,
inference(reorient_equations,[],[f970]) ).
tff(f972,definition,
sF12 = 'mapM$'(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
tff(f973,plain,
'mapM$'(sF11) = sF12,
inference(reorient_equations,[],[f972]) ).
tff(f974,definition,
sF13 = 'fun_app$n'(sF12,'f$'),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
tff(f975,plain,
'fun_app$n'(sF12,'f$') = sF13,
inference(reorient_equations,[],[f974]) ).
tff(f976,definition,
sF14 = 'mapO$'(sF11,'z$'),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
tff(f977,plain,
'mapO$'(sF11,'z$') = sF14,
inference(reorient_equations,[],[f976]) ).
tff(f978,definition,
sF15 = 'mapsTo$a'('set$',sF13,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
tff(f979,plain,
'mapsTo$a'('set$',sF13,sF14) = sF15,
inference(reorient_equations,[],[f978]) ).
tff(f980,definition,
sF16 = 'mapO$'(sF11,'y$'),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
tff(f981,plain,
'mapO$'(sF11,'y$') = sF16,
inference(reorient_equations,[],[f980]) ).
tff(f982,plain,
~ 'fun_app$b'(sF15,sF16),
inference(definition_folding,[],[f938,f981,f971,f979,f977,f971,f975,f973,f971]) ).
tff(f991,plain,
'homSet$'('c$','x$','z$') = 'mapO$'(sF11,'z$'),
inference(forward_demodulation,[],[f863,f971]) ).
tff(f992,plain,
'homSet$'('c$','x$','z$') = sF14,
inference(forward_demodulation,[],[f991,f977]) ).
tff(f993,plain,
'homSet$'('c$','x$','y$') = 'mapO$'(sF11,'y$'),
inference(forward_demodulation,[],[f872,f971]) ).
tff(f994,plain,
'homSet$'('c$','x$','y$') = sF16,
inference(forward_demodulation,[],[f993,f981]) ).
tff(f1006,plain,
'fun_app$n'('homFtorMap$'('c$','x$'),'f$') = 'fun_app$n'('mapM$'(sF11),'f$'),
inference(forward_demodulation,[],[f842,f971]) ).
tff(f1007,plain,
'fun_app$n'('homFtorMap$'('c$','x$'),'f$') = 'fun_app$n'(sF12,'f$'),
inference(forward_demodulation,[],[f1006,f973]) ).
tff(f1008,plain,
'fun_app$n'('homFtorMap$'('c$','x$'),'f$') = sF13,
inference(forward_demodulation,[],[f1007,f975]) ).
tff(f1434,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$','x$','y$')),
inference(forward_demodulation,[],[f906,f880]) ).
tff(f1435,plain,
'fun_app$b'('mapsTo$a'('set$','fun_app$n'('homFtorMap$'('c$','x$'),'f$'),'homSet$'('c$','x$','fun_app$q'('dom$'('c$'),'f$'))),sF16),
inference(forward_demodulation,[],[f1434,f994]) ).
tff(f1436,plain,
'fun_app$b'('mapsTo$a'('set$','fun_app$n'('homFtorMap$'('c$','x$'),'f$'),'homSet$'('c$','x$','z$')),sF16),
inference(forward_demodulation,[],[f1435,f919]) ).
tff(f1437,plain,
'fun_app$b'('mapsTo$a'('set$','fun_app$n'('homFtorMap$'('c$','x$'),'f$'),sF14),sF16),
inference(forward_demodulation,[],[f1436,f992]) ).
tff(f1438,plain,
'fun_app$b'('mapsTo$a'('set$',sF13,sF14),sF16),
inference(forward_demodulation,[],[f1437,f1008]) ).
tff(f1439,plain,
'fun_app$b'(sF15,sF16),
inference(forward_demodulation,[],[f1438,f979]) ).
tff(f1440,plain,
$false,
inference(forward_subsumption_resolution,[],[f1439,f982]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP301_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 12:53:48 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 3.45/1.42 % (3067304)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.45/1.42 % (3067407)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=873029550:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.45/1.42 % (3067407)Instruction limit reached!
% 3.45/1.42 % (3067407)------------------------------
% 3.45/1.42 % (3067407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.42 % (3067407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.42 % (3067407)CaDiCaL version: 2.1.3
% 3.45/1.42 % (3067407)Termination reason: Instruction limit
% 3.45/1.42 % (3067407)Termination phase: Preprocessing 3
% 3.45/1.42 % (3067407)Time elapsed: 0.011 s
% 3.45/1.42 % (3067407)Peak memory usage: 88 MB
% 3.45/1.42 % (3067407)Instructions burned: 35 (million)
% 3.45/1.42 % (3067403)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4150659861:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.45/1.42 % (3067405)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1857487799:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.45/1.42 % (3067402)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2585479468:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.45/1.42 % (3067401)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1310295152:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.45/1.42 % (3067404)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1482970518:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.45/1.42 % (3067405)Instruction limit reached!
% 3.45/1.42 % (3067405)------------------------------
% 3.45/1.42 % (3067405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.42 % (3067405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.42 % (3067405)CaDiCaL version: 2.1.3
% 3.45/1.42 % (3067405)Termination reason: Instruction limit
% 3.45/1.42 % (3067405)Termination phase: Property scanning
% 3.45/1.42 % (3067405)Time elapsed: 0.004 s
% 3.45/1.42 % (3067405)Peak memory usage: 86 MB
% 3.45/1.42 % (3067405)Instructions burned: 5 (million)
% 3.45/1.42 % (3067404)Instruction limit reached!
% 3.45/1.42 % (3067404)------------------------------
% 3.45/1.42 % (3067404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.42 % (3067404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.42 % (3067404)CaDiCaL version: 2.1.3
% 3.45/1.42 % (3067404)Termination reason: Instruction limit
% 3.45/1.42 % (3067404)Termination phase: Property scanning
% 3.45/1.42 % (3067404)Time elapsed: 0.005 s
% 3.45/1.42 % (3067404)Peak memory usage: 86 MB
% 3.45/1.42 % (3067404)Instructions burned: 9 (million)
% 3.45/1.42 % (3067401)Instruction limit reached!
% 3.45/1.42 % (3067401)------------------------------
% 3.45/1.42 % (3067401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.42 % (3067401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.42 % (3067401)CaDiCaL version: 2.1.3
% 3.45/1.42 % (3067401)Termination reason: Instruction limit
% 3.45/1.42 % (3067401)Termination phase: shuffling
% 3.45/1.42 % (3067401)Time elapsed: 0.006 s
% 3.45/1.42 % (3067401)Peak memory usage: 86 MB
% 3.45/1.42 % (3067401)Instructions burned: 12 (million)
% 3.45/1.42 % (3067406)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2692466495:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.45/1.42 % (3067406)Instruction limit reached!
% 3.45/1.42 % (3067406)------------------------------
% 3.45/1.42 % (3067406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.42 % (3067406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.42 % (3067406)CaDiCaL version: 2.1.3
% 3.45/1.42 % (3067406)Termination reason: Instruction limit
% 3.45/1.42 % (3067406)Termination phase: Function definition elimination
% 3.45/1.42 % (3067406)Time elapsed: 0.028 s
% 3.45/1.42 % (3067406)Peak memory usage: 88 MB
% 3.45/1.42 % (3067406)Instructions burned: 48 (million)
% 3.45/1.42 % (3067417)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3632649914:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.45/1.42 % (3067417)Instruction limit reached!
% 3.45/1.42 % (3067417)------------------------------
% 4.34/1.63 % (3067417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.63 % (3067417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.63 % (3067417)CaDiCaL version: 2.1.3
% 4.34/1.63 % (3067417)Termination reason: Instruction limit
% 4.34/1.63 % (3067417)Termination phase: SInE selection
% 4.34/1.63 % (3067417)Time elapsed: 0.005 s
% 4.34/1.63 % (3067417)Peak memory usage: 86 MB
% 4.34/1.63 % (3067417)Instructions burned: 16 (million)
% 4.34/1.63 % (3067403)Instruction limit reached!
% 4.34/1.63 % (3067403)------------------------------
% 4.34/1.63 % (3067403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.63 % (3067403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.63 % (3067403)CaDiCaL version: 2.1.3
% 4.34/1.63 % (3067403)Termination reason: Instruction limit
% 4.34/1.63 % (3067403)Termination phase: Saturation
% 4.34/1.63 % (3067403)Time elapsed: 0.144 s
% 4.34/1.63 % (3067403)Peak memory usage: 116 MB
% 4.34/1.63 % (3067403)Instructions burned: 201 (million)
% 4.34/1.63 % (3067428)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=1679460037:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 4.34/1.63 % (3067429)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3311740201:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.34/1.63 % (3067429)Instruction limit reached!
% 4.34/1.63 % (3067429)------------------------------
% 4.34/1.63 % (3067429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.63 % (3067429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.63 % (3067429)CaDiCaL version: 2.1.3
% 4.34/1.63 % (3067429)Termination reason: Instruction limit
% 4.34/1.63 % (3067429)Termination phase: Preprocessing 1
% 4.34/1.63 % (3067429)Time elapsed: 0.009 s
% 4.34/1.63 % (3067429)Peak memory usage: 86 MB
% 4.34/1.63 % (3067429)Instructions burned: 16 (million)
% 4.34/1.63 % (3067430)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=4179716561:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.34/1.63 % (3067428)Instruction limit reached!
% 4.34/1.63 % (3067428)------------------------------
% 4.34/1.63 % (3067428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.63 % (3067428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.63 % (3067428)CaDiCaL version: 2.1.3
% 4.34/1.63 % (3067428)Termination reason: Instruction limit
% 4.34/1.63 % (3067428)Termination phase: shuffling
% 4.34/1.63 % (3067428)Time elapsed: 0.016 s
% 4.34/1.63 % (3067428)Peak memory usage: 87 MB
% 4.34/1.63 % (3067428)Instructions burned: 29 (million)
% 4.34/1.63 % (3067430)Instruction limit reached!
% 4.34/1.63 % (3067430)------------------------------
% 4.34/1.63 % (3067430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.63 % (3067430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.63 % (3067430)CaDiCaL version: 2.1.3
% 4.34/1.63 % (3067430)Termination reason: Instruction limit
% 4.34/1.63 % (3067430)Termination phase: Preprocessing 1
% 4.34/1.63 % (3067430)Time elapsed: 0.012 s
% 4.34/1.63 % (3067430)Peak memory usage: 86 MB
% 4.34/1.63 % (3067430)Instructions burned: 24 (million)
% 4.34/1.63 % (3067433)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=77902900:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.34/1.63 % (3067435)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=125888597:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 4.34/1.63 % (3067433)Instruction limit reached!
% 4.34/1.63 % (3067433)------------------------------
% 4.34/1.63 % (3067433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.63 % (3067433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.63 % (3067433)CaDiCaL version: 2.1.3
% 4.34/1.63 % (3067433)Termination reason: Instruction limit
% 4.34/1.63 % (3067433)Termination phase: Preprocessing 2
% 4.34/1.63 % (3067433)Time elapsed: 0.015 s
% 4.34/1.63 % (3067433)Peak memory usage: 87 MB
% 4.34/1.63 % (3067433)Instructions burned: 28 (million)
% 4.34/1.63 % (3067435)Instruction limit reached!
% 4.34/1.63 % (3067435)------------------------------
% 4.34/1.66 % (3067435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.66 % (3067435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.66 % (3067435)CaDiCaL version: 2.1.3
% 4.34/1.66 % (3067435)Termination reason: Instruction limit
% 4.34/1.66 % (3067435)Termination phase: Property scanning
% 4.34/1.66 % (3067435)Time elapsed: 0.023 s
% 4.34/1.66 % (3067435)Peak memory usage: 89 MB
% 4.34/1.66 % (3067435)Instructions burned: 86 (million)
% 4.34/1.66 % (3067402)Instruction limit reached!
% 4.34/1.66 % (3067402)------------------------------
% 4.34/1.66 % (3067402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.66 % (3067402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.66 % (3067402)CaDiCaL version: 2.1.3
% 4.34/1.66 % (3067402)Termination reason: Instruction limit
% 4.34/1.66 % (3067402)Termination phase: Saturation
% 4.34/1.66 % (3067402)Time elapsed: 0.260 s
% 4.34/1.66 % (3067402)Peak memory usage: 114 MB
% 4.34/1.66 % (3067402)Instructions burned: 307 (million)
% 4.34/1.66 % (3067440)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3016407918:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 4.34/1.66 % (3067438)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3466929837:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 4.34/1.66 % (3067438)Instruction limit reached!
% 4.34/1.66 % (3067438)------------------------------
% 4.34/1.66 % (3067438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.66 % (3067438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.66 % (3067438)CaDiCaL version: 2.1.3
% 4.34/1.66 % (3067438)Termination reason: Instruction limit
% 4.34/1.66 % (3067438)Termination phase: Property scanning
% 4.34/1.66 % (3067438)Time elapsed: 0.003 s
% 4.34/1.66 % (3067438)Peak memory usage: 85 MB
% 4.34/1.66 % (3067438)Instructions burned: 4 (million)
% 4.34/1.66 % (3067441)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1620869623:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 4.34/1.66 % (3067442)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2772629140:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 4.34/1.66 % (3067441)Instruction limit reached!
% 4.34/1.66 % (3067441)------------------------------
% 4.34/1.66 % (3067441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.66 % (3067441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.66 % (3067441)CaDiCaL version: 2.1.3
% 4.34/1.66 % (3067441)Termination reason: Instruction limit
% 4.34/1.66 % (3067441)Termination phase: Property scanning
% 4.34/1.66 % (3067441)Time elapsed: 0.003 s
% 4.34/1.66 % (3067441)Peak memory usage: 86 MB
% 4.34/1.66 % (3067441)Instructions burned: 5 (million)
% 4.34/1.66 % (3067440)First to succeed.
% 4.34/1.66 % (3067440)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3067304"
% 4.34/1.66 % (3067446)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=2606690313:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 4.34/1.66 % (3067446)Instruction limit reached!
% 4.34/1.66 % (3067446)------------------------------
% 4.34/1.66 % (3067446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.66 % (3067446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.66 % (3067446)CaDiCaL version: 2.1.3
% 4.34/1.66 % (3067446)Termination reason: Instruction limit
% 4.34/1.66 % (3067446)Termination phase: shuffling
% 4.34/1.66 % (3067446)Time elapsed: 0.003 s
% 4.34/1.66 % (3067446)Peak memory usage: 86 MB
% 4.34/1.66 % (3067446)Instructions burned: 11 (million)
% 4.34/1.66 % (3067442)Instruction limit reached!
% 4.34/1.66 % (3067442)------------------------------
% 4.34/1.66 % (3067442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.66 % (3067442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.66 % (3067442)CaDiCaL version: 2.1.3
% 4.34/1.66 % (3067442)Termination reason: Instruction limit
% 4.34/1.66 % (3067442)Termination phase: Property scanning
% 4.34/1.66 % (3067442)Time elapsed: 0.037 s
% 4.34/1.66 % (3067442)Peak memory usage: 89 MB
% 4.34/1.66 % (3067442)Instructions burned: 68 (million)
% 4.34/1.66 % (3067445)lrs+10_1_thi=all:si=on:fd=off:random_seed=1915521955:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 4.34/1.66 % (3067445)Instruction limit reached!
% 4.34/1.66 % (3067445)------------------------------
% 4.34/1.66 % (3067445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.66 % (3067445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.66 % (3067445)CaDiCaL version: 2.1.3
% 4.34/1.66 % (3067445)Termination reason: Instruction limit
% 4.34/1.66 % (3067445)Termination phase: Preprocessing 3
% 4.34/1.66 % (3067445)Time elapsed: 0.028 s
% 4.34/1.66 % (3067445)Peak memory usage: 88 MB
% 4.34/1.66 % (3067445)Instructions burned: 54 (million)
% 4.34/1.66 % (3067447)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=4285518785:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 4.34/1.66 % (3067447)Instruction limit reached!
% 4.34/1.66 % (3067447)------------------------------
% 4.34/1.66 % (3067447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.66 % (3067447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.66 % (3067447)CaDiCaL version: 2.1.3
% 4.34/1.66 % (3067447)Termination reason: Instruction limit
% 4.34/1.66 % (3067447)Termination phase: shuffling
% 4.34/1.66 % (3067447)Time elapsed: 0.002 s
% 4.34/1.66 % (3067447)Peak memory usage: 86 MB
% 4.34/1.66 % (3067447)Instructions burned: 2 (million)
% 4.34/1.66 % (3067450)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=3068956006:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 4.34/1.66 % (3067455)dis+10_1_si=on:random_seed=3850374770:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 4.34/1.66 % (3067450)Instruction limit reached!
% 4.34/1.66 % (3067450)------------------------------
% 4.34/1.66 % (3067450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.66 % (3067450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.66 % (3067450)CaDiCaL version: 2.1.3
% 4.34/1.66 % (3067450)Termination reason: Instruction limit
% 4.34/1.66 % (3067450)Termination phase: Property scanning
% 4.34/1.66 % (3067450)Time elapsed: 0.003 s
% 4.34/1.66 % (3067450)Peak memory usage: 86 MB
% 4.34/1.66 % (3067450)Instructions burned: 3 (million)
% 4.34/1.66 % (3067455)Instruction limit reached!
% 4.34/1.66 % (3067455)------------------------------
% 4.34/1.66 % (3067455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.66 % (3067455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.66 % (3067455)CaDiCaL version: 2.1.3
% 4.34/1.66 % (3067455)Termination reason: Instruction limit
% 4.34/1.66 % (3067455)Termination phase: Property scanning
% 4.34/1.66 % (3067455)Time elapsed: 0.004 s
% 4.34/1.66 % (3067455)Peak memory usage: 86 MB
% 4.34/1.66 % (3067455)Instructions burned: 13 (million)
% 4.34/1.66 % (3067453)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=1777826378:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 4.34/1.66 % (3067456)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=1312267629:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 4.34/1.66 % (3067456)Instruction limit reached!
% 4.34/1.66 % (3067456)------------------------------
% 4.34/1.66 % (3067456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.66 % (3067456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.66 % (3067456)CaDiCaL version: 2.1.3
% 4.34/1.66 % (3067456)Termination reason: Instruction limit
% 4.34/1.66 % (3067456)Termination phase: Preprocessing 1
% 4.34/1.66 % (3067456)Time elapsed: 0.014 s
% 4.34/1.66 % (3067456)Peak memory usage: 86 MB
% 4.34/1.66 % (3067456)Instructions burned: 26 (million)
% 4.34/1.66 % (3067458)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=3764428527: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_2993 on theBenchmark for (2993ds/35Mi)
% 4.34/1.66 % (3067453)Instruction limit reached!
% 4.34/1.66 % (3067453)------------------------------
% 4.34/1.66 % (3067453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.66 % (3067453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.66 % (3067453)CaDiCaL version: 2.1.3
% 4.34/1.66 % (3067453)Termination reason: Instruction limit
% 4.34/1.66 % (3067453)Termination phase: Saturation
% 4.34/1.66 % (3067453)Time elapsed: 0.098 s
% 4.34/1.66 % (3067453)Peak memory usage: 118 MB
% 4.34/1.66 % (3067453)Instructions burned: 127 (million)
% 4.34/1.66 % (3067458)Instruction limit reached!
% 4.34/1.66 % (3067458)------------------------------
% 4.34/1.66 % (3067458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.66 % (3067458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.66 % (3067458)CaDiCaL version: 2.1.3
% 4.34/1.66 % (3067458)Termination reason: Instruction limit
% 4.34/1.66 % (3067458)Termination phase: Preprocessing 3
% 4.34/1.66 % (3067458)Time elapsed: 0.022 s
% 4.34/1.66 % (3067458)Peak memory usage: 88 MB
% 4.34/1.66 % (3067458)Instructions burned: 35 (million)
% 4.34/1.66 % (3067465)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=4202820896:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 4.34/1.66 % (3067440)Refutation found. Thanks to Tanya!
% 4.34/1.66 % SZS status Theorem for theBenchmark
% 4.34/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 5.87/1.79 % (3067440)------------------------------
% 5.87/1.79 % (3067440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.79 % (3067440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.79 % (3067440)CaDiCaL version: 2.1.3
% 5.87/1.79 % (3067440)Termination reason: Refutation
% 5.87/1.79 % (3067440)Time elapsed: 0.035 s
% 5.87/1.79 % (3067440)Peak memory usage: 90 MB
% 5.87/1.79 % (3067440)Instructions burned: 51 (million)
% 5.87/1.79 % (3067440)------------------------------
% 5.87/1.79 % (3067440)------------------------------
% 5.87/1.79 % (3067304)Success in time 0.794 s
% 5.87/1.79 % Vampire exiting
%------------------------------------------------------------------------------