TSTP Solution File: ITP248^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP248^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 17:47:45 EDT 2022
% Result : Unknown 0.77s 0.96s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : ITP248^3 : TPTP v7.6.0. Released v7.6.0.
% 0.09/0.13 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 Computer : n026.cluster.edu
% 0.12/0.34 Model : x86_64 x86_64
% 0.12/0.34 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 RAMPerCPU : 8042.1875MB
% 0.12/0.34 OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Fri Mar 18 12:20:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.36 Python 2.7.5
% 0.46/0.63 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x10fae18>, <kernel.Type object at 0x10fac20>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc5542196010084753463at_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x10fabd8>, <kernel.Type object at 0x10fa998>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc5491161045314408544at_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x10fab48>, <kernel.Type object at 0x2b19949cfb90>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Num__Onum_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc1193250871479095198on_num:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x10fab48>, <kernel.Type object at 0x10fa998>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc8306885398267862888on_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x10fae18>, <kernel.Type object at 0x2b19949d6f38>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc6121120109295599847at_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x10fae18>, <kernel.Type object at 0x2b19949d6908>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc3368934014287244435at_num:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x10fab48>, <kernel.Type object at 0x2b19949d63b0>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc4471711990508489141at_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b19949d65f0>, <kernel.Type object at 0x2b19949d60e0>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc7036089656553540234on_num:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b19949d6320>, <kernel.Type object at 0x111aef0>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc2233624965454879586on_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b19949d65f0>, <kernel.Type object at 0x111ae60>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P7413028617227757229T_VEBT:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b19949d65f0>, <kernel.Type object at 0x111af38>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring produc3447558737645232053on_num:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b19949d6320>, <kernel.Type object at 0x111aea8>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring produc4953844613479565601on_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111ad88>, <kernel.Type object at 0x111ac20>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring produc2963631642982155120at_num:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111ab00>, <kernel.Type object at 0x111acb0>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring produc7248412053542808358at_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111acf8>, <kernel.Type object at 0x111ad88>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_P7037539587688870467BT_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111a8c0>, <kernel.Type object at 0x111a560>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_P4547456442757143711BT_int:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111acf8>, <kernel.Type object at 0x111ab00>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_P5647936690300460905T_VEBT:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111a440>, <kernel.Type object at 0x111a8c0>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring produc8243902056947475879T_VEBT:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111a3b0>, <kernel.Type object at 0x111acf8>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring produc8923325533196201883nteger:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111a290>, <kernel.Type object at 0x111a440>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_P3126845725202233233VEBT_o:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111a200>, <kernel.Type object at 0x111a3b0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_P7495141550334521929T_VEBT:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111a170>, <kernel.Type object at 0x111a290>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_P8526636022914148096eger_o:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111a050>, <kernel.Type object at 0x111a200>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_Pr448751882837621926eger_o:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111a830>, <kernel.Type object at 0x111a170>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring option4927543243414619207at_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111a4d0>, <kernel.Type object at 0x111a050>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_P3744719386663036955um_num:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111a9e0>, <kernel.Type object at 0x111a830>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_P6011104703257516679at_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111aa70>, <kernel.Type object at 0x111a4d0>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring produc9072475918466114483BT_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111a950>, <kernel.Type object at 0x111a9e0>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring produc4894624898956917775BT_int:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111a5f0>, <kernel.Type object at 0x111aa70>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_Pr8218934625190621173um_num:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111a680>, <kernel.Type object at 0x111a950>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_Pr6200539531224447659at_num:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111a710>, <kernel.Type object at 0x111a5f0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_Pr1261947904930325089at_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111a320>, <kernel.Type object at 0x111a680>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_Pr958786334691620121nt_int:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111a368>, <kernel.Type object at 0x111cf38>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_P7333126701944960589_nat_o:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111a098>, <kernel.Type object at 0x111c098>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_P6285523579766656935_o_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111a098>, <kernel.Type object at 0x111cd88>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_P3795440434834930179_o_int:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111a320>, <kernel.Type object at 0x111c098>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_list_VEBT_VEBT:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111c680>, <kernel.Type object at 0x111c290>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring produc334124729049499915VEBT_o:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111cd88>, <kernel.Type object at 0x13fb9e0>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring produc2504756804600209347T_VEBT:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111c680>, <kernel.Type object at 0x13fbdd0>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring produc6271795597528267376eger_o:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111c290>, <kernel.Type object at 0x13fb9e0>) of role type named ty_n_t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring product_prod_num_num:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111ce18>, <kernel.Type object at 0x13fba70>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring product_prod_nat_num:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111c290>, <kernel.Type object at 0x13fb9e0>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring product_prod_nat_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x111c680>, <kernel.Type object at 0x111f248>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring product_prod_int_int:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x13fbcb0>, <kernel.Type object at 0x111f248>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring list_P4002435161011370285od_o_o:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x111c680>, <kernel.Type object at 0x111f0e0>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Complex__Ocomplex_J_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_list_complex:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x13fb9e0>, <kernel.Type object at 0x111f098>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring list_VEBT_VEBT:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x13fbdd0>, <kernel.Type object at 0x111f638>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_list_nat:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x13fbcb0>, <kernel.Type object at 0x111f5f0>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Int__Oint_J_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_list_int:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x13fbcb0>, <kernel.Type object at 0x111f638>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring product_prod_o_nat:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x111f5f0>, <kernel.Type object at 0x12902d8>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring product_prod_o_int:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x111f638>, <kernel.Type object at 0x12902d8>) of role type named ty_n_t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring list_Code_integer:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x111f050>, <kernel.Type object at 0x1290290>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_VEBT_VEBT:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x111f248>, <kernel.Type object at 0x1290248>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_set_nat:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x111f638>, <kernel.Type object at 0x1290170>) of role type named ty_n_t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_Code_integer:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x111f248>, <kernel.Type object at 0x12901b8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Ounit_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_Product_unit:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x111f050>, <kernel.Type object at 0x12900e0>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring list_complex:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x111f050>, <kernel.Type object at 0x1290128>) of role type named ty_n_t__Set__Oset_It__List__Olist_I_Eo_J_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_list_o:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290200>, <kernel.Type object at 0x1290050>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring product_prod_o_o:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x12902d8>, <kernel.Type object at 0x1290098>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_complex:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290290>, <kernel.Type object at 0x1290368>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring filter_real:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290200>, <kernel.Type object at 0x12903b0>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring option_num:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x12902d8>, <kernel.Type object at 0x12903f8>) of role type named ty_n_t__Option__Ooption_It__Nat__Onat_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring option_nat:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290290>, <kernel.Type object at 0x1290440>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring filter_nat:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290200>, <kernel.Type object at 0x1290488>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_char:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x12902d8>, <kernel.Type object at 0x12904d0>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring list_real:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290248>, <kernel.Type object at 0x1290488>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_real:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290290>, <kernel.Type object at 0x1290560>) of role type named ty_n_t__List__Olist_It__Num__Onum_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring list_num:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x12902d8>, <kernel.Type object at 0x12905f0>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring list_nat:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290440>, <kernel.Type object at 0x1290638>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring list_int:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290248>, <kernel.Type object at 0x1290680>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring vEBT_VEBT:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290290>, <kernel.Type object at 0x12906c8>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_rat:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x12902d8>, <kernel.Type object at 0x1290710>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_num:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290440>, <kernel.Type object at 0x1290758>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_nat:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290248>, <kernel.Type object at 0x12907a0>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_int:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290290>, <kernel.Type object at 0x12907e8>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring code_integer:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x12902d8>, <kernel.Type object at 0x1290830>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring extended_enat:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290248>, <kernel.Type object at 0x12907a0>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring list_o:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290200>, <kernel.Type object at 0x12908c0>) of role type named ty_n_t__Complex__Ocomplex
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring complex:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290290>, <kernel.Type object at 0x12907e8>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_o:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290248>, <kernel.Type object at 0x1290908>) of role type named ty_n_t__String__Ochar
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring char:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290200>, <kernel.Type object at 0x1290950>) of role type named ty_n_t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring real:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290290>, <kernel.Type object at 0x1290998>) of role type named ty_n_t__Rat__Orat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring rat:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290248>, <kernel.Type object at 0x12909e0>) of role type named ty_n_t__Num__Onum
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring num:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290200>, <kernel.Type object at 0x1290a28>) of role type named ty_n_t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring nat:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290290>, <kernel.Type object at 0x1290a70>) of role type named ty_n_t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring int:Type
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290290>, <kernel.DependentProduct object at 0x1290c20>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Rat__Orat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring archim2889992004027027881ng_rat:(rat->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1290ab8>, <kernel.DependentProduct object at 0x1290cb0>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring archim7802044766580827645g_real:(real->int)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1290c20>, <kernel.DependentProduct object at 0x1290d40>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring archim3151403230148437115or_rat:(rat->int)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1290cb0>, <kernel.DependentProduct object at 0x1290dd0>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring archim6058952711729229775r_real:(real->int)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1290d40>, <kernel.DependentProduct object at 0x1290e60>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1290dd0>, <kernel.DependentProduct object at 0x1290ef0>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring archim8280529875227126926d_real:(real->int)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1290e60>, <kernel.Constant object at 0x1290440>) of role type named sy_c_BNF__Cardinal__Order__Relation_OnatLeq
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bNF_Ca8665028551170535155natLeq:set_Pr1261947904930325089at_nat
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1290ef0>, <kernel.Constant object at 0x1290d40>) of role type named sy_c_BNF__Cardinal__Order__Relation_OnatLess
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bNF_Ca8459412986667044542atLess:set_Pr1261947904930325089at_nat
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1290440>, <kernel.DependentProduct object at 0x1290ef0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_062_It__Int__Oint_M_Eo_J_001_062_It__Int__Oint_M_Eo_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bNF_re3403563459893282935_int_o:((int->(int->Prop))->(((int->Prop)->((int->Prop)->Prop))->((int->(int->Prop))->((int->(int->Prop))->Prop))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1290440>, <kernel.DependentProduct object at 0x11062d8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bNF_re711492959462206631nt_int:((int->(int->Prop))->(((int->int)->((int->int)->Prop))->((int->(int->int))->((int->(int->int))->Prop))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1290440>, <kernel.DependentProduct object at 0x11060e0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_Eo_001_Eo
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bNF_re5089333283451836215nt_o_o:((int->(int->Prop))->((Prop->(Prop->Prop))->((int->Prop)->((int->Prop)->Prop))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1290440>, <kernel.DependentProduct object at 0x1106368>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bNF_re4712519889275205905nt_int:((int->(int->Prop))->((int->(int->Prop))->((int->int)->((int->int)->Prop))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1106128>, <kernel.DependentProduct object at 0x11060e0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_Eo_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bNF_re578469030762574527_nat_o:((nat->(nat->Prop))->(((nat->Prop)->((nat->Prop)->Prop))->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1106290>, <kernel.DependentProduct object at 0x1106518>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bNF_re1345281282404953727at_nat:((nat->(nat->Prop))->(((nat->nat)->((nat->nat)->Prop))->((nat->(nat->nat))->((nat->(nat->nat))->Prop))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x11063b0>, <kernel.DependentProduct object at 0x1106200>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_Eo_001_Eo
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bNF_re4705727531993890431at_o_o:((nat->(nat->Prop))->((Prop->(Prop->Prop))->((nat->Prop)->((nat->Prop)->Prop))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x1106518>, <kernel.DependentProduct object at 0x11065a8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring bNF_re5653821019739307937at_nat:((nat->(nat->Prop))->((nat->(nat->Prop))->((nat->nat)->((nat->nat)->Prop))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x1106200>, <kernel.DependentProduct object at 0x1106680>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring bNF_re6830278522597306478at_int:((nat->(nat->Prop))->((product_prod_nat_nat->(int->Prop))->((nat->product_prod_nat_nat)->((nat->int)->Prop))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x11065a8>, <kernel.DependentProduct object at 0x1106488>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring bNF_re5228765855967844073nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(((product_prod_int_int->product_prod_int_int)->((product_prod_int_int->product_prod_int_int)->Prop))->((product_prod_int_int->(product_prod_int_int->product_prod_int_int))->((product_prod_int_int->(product_prod_int_int->product_prod_int_int))->Prop))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x1106128>, <kernel.DependentProduct object at 0x11066c8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo_001_Eo
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring bNF_re8699439704749558557nt_o_o:((product_prod_int_int->(product_prod_int_int->Prop))->((Prop->(Prop->Prop))->((product_prod_int_int->Prop)->((product_prod_int_int->Prop)->Prop))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x1106488>, <kernel.DependentProduct object at 0x1106758>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring bNF_re7145576690424134365nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->((product_prod_int_int->(product_prod_int_int->Prop))->((product_prod_int_int->product_prod_int_int)->((product_prod_int_int->product_prod_int_int)->Prop))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x11066c8>, <kernel.DependentProduct object at 0x1106200>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Rat__Orat_Mt__Rat__Orat_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring bNF_re7627151682743391978at_rat:((product_prod_int_int->(rat->Prop))->(((product_prod_int_int->product_prod_int_int)->((rat->rat)->Prop))->((product_prod_int_int->(product_prod_int_int->product_prod_int_int))->((rat->(rat->rat))->Prop))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x1106758>, <kernel.DependentProduct object at 0x1106878>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat_001_Eo_001_Eo
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring bNF_re1494630372529172596at_o_o:((product_prod_int_int->(rat->Prop))->((Prop->(Prop->Prop))->((product_prod_int_int->Prop)->((rat->Prop)->Prop))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x1106200>, <kernel.DependentProduct object at 0x1106908>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bNF_re8279943556446156061nt_rat:((product_prod_int_int->(rat->Prop))->((product_prod_int_int->(rat->Prop))->((product_prod_int_int->product_prod_int_int)->((rat->rat)->Prop))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1106878>, <kernel.DependentProduct object at 0x1106290>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001_062_It__Int__Oint_M_Eo_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bNF_re717283939379294677_int_o:((product_prod_nat_nat->(int->Prop))->(((product_prod_nat_nat->Prop)->((int->Prop)->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((int->(int->Prop))->Prop))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1106908>, <kernel.DependentProduct object at 0x1106b48>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bNF_re7408651293131936558nt_int:((product_prod_nat_nat->(int->Prop))->(((product_prod_nat_nat->product_prod_nat_nat)->((int->int)->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->((int->(int->int))->Prop))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1106290>, <kernel.DependentProduct object at 0x11067e8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001_Eo_001_Eo
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bNF_re6644619430987730960nt_o_o:((product_prod_nat_nat->(int->Prop))->((Prop->(Prop->Prop))->((product_prod_nat_nat->Prop)->((int->Prop)->Prop))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1106b48>, <kernel.DependentProduct object at 0x1106b00>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bNF_re7400052026677387805at_int:((product_prod_nat_nat->(int->Prop))->((product_prod_nat_nat->(int->Prop))->((product_prod_nat_nat->product_prod_nat_nat)->((int->int)->Prop))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x11067e8>, <kernel.DependentProduct object at 0x1106ab8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bNF_re4202695980764964119_nat_o:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->Prop))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1106b00>, <kernel.DependentProduct object at 0x1106d88>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bNF_re3099431351363272937at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(((product_prod_nat_nat->product_prod_nat_nat)->((product_prod_nat_nat->product_prod_nat_nat)->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->Prop))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1106ab8>, <kernel.DependentProduct object at 0x11068c0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo_001_Eo
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bNF_re3666534408544137501at_o_o:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((Prop->(Prop->Prop))->((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->Prop))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1106d88>, <kernel.DependentProduct object at 0x1106d40>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bNF_re2241393799969408733at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((product_prod_nat_nat->product_prod_nat_nat)->((product_prod_nat_nat->product_prod_nat_nat)->Prop))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x11067e8>, <kernel.DependentProduct object at 0x11068c0>) of role type named sy_c_Binomial_Obinomial
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring binomial:(nat->(nat->nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1106ef0>, <kernel.DependentProduct object at 0x1106d88>) of role type named sy_c_Binomial_Ogbinomial_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring gbinomial_complex:(complex->(nat->complex))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1106998>, <kernel.DependentProduct object at 0x11067e8>) of role type named sy_c_Binomial_Ogbinomial_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring gbinomial_int:(int->(nat->int))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1106b00>, <kernel.DependentProduct object at 0x1106ef0>) of role type named sy_c_Binomial_Ogbinomial_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring gbinomial_nat:(nat->(nat->nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1106bd8>, <kernel.DependentProduct object at 0x1106998>) of role type named sy_c_Binomial_Ogbinomial_001t__Rat__Orat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring gbinomial_rat:(rat->(nat->rat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1106d40>, <kernel.DependentProduct object at 0x1106b00>) of role type named sy_c_Binomial_Ogbinomial_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring gbinomial_real:(real->(nat->real))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x11063f8>, <kernel.DependentProduct object at 0x1106d40>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x11068c0>, <kernel.DependentProduct object at 0x1106b00>) of role type named sy_c_Bit__Operations_Oand__not__num
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bit_and_not_num:(num->(num->option_num))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1106d40>, <kernel.DependentProduct object at 0x1106bd8>) of role type named sy_c_Bit__Operations_Oand__not__num__rel
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bit_and_not_num_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1106fc8>, <kernel.DependentProduct object at 0x1109050>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1106ab8>, <kernel.DependentProduct object at 0x1106b00>) of role type named sy_c_Bit__Operations_Oor__not__num__neg
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bit_or_not_num_neg:(num->(num->num))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1106bd8>, <kernel.DependentProduct object at 0x1109200>) of role type named sy_c_Bit__Operations_Oor__not__num__neg__rel
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bit_or3848514188828904588eg_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1106bd8>, <kernel.DependentProduct object at 0x11091b8>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1106d88>, <kernel.DependentProduct object at 0x11090e0>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x11091b8>, <kernel.DependentProduct object at 0x1109290>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109128>, <kernel.DependentProduct object at 0x1109320>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se3949692690581998587nteger:(code_integer->(code_integer->code_integer))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109200>, <kernel.DependentProduct object at 0x11093b0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109248>, <kernel.DependentProduct object at 0x1109200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x11093b0>, <kernel.DependentProduct object at 0x1109248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109200>, <kernel.DependentProduct object at 0x11093b0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109248>, <kernel.DependentProduct object at 0x1109200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x11093b0>, <kernel.DependentProduct object at 0x1109248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109200>, <kernel.DependentProduct object at 0x11093b0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109248>, <kernel.DependentProduct object at 0x1109128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se2119862282449309892nteger:(nat->code_integer)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x11093b0>, <kernel.DependentProduct object at 0x1109878>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109128>, <kernel.DependentProduct object at 0x1109908>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109878>, <kernel.DependentProduct object at 0x1109128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se1080825931792720795nteger:(code_integer->(code_integer->code_integer))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109908>, <kernel.DependentProduct object at 0x1109878>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109128>, <kernel.DependentProduct object at 0x1109908>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109878>, <kernel.DependentProduct object at 0x1109128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109908>, <kernel.DependentProduct object at 0x1109878>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109128>, <kernel.DependentProduct object at 0x1109908>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109878>, <kernel.DependentProduct object at 0x1109128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109908>, <kernel.DependentProduct object at 0x1109878>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109128>, <kernel.DependentProduct object at 0x1109908>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se1745604003318907178nteger:(nat->(code_integer->code_integer))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109878>, <kernel.DependentProduct object at 0x1109128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109908>, <kernel.DependentProduct object at 0x1109878>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109128>, <kernel.DependentProduct object at 0x1109908>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109878>, <kernel.DependentProduct object at 0x11091b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109908>, <kernel.DependentProduct object at 0x1109f38>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109908>, <kernel.DependentProduct object at 0x1110050>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109908>, <kernel.DependentProduct object at 0x1110200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109878>, <kernel.DependentProduct object at 0x1110290>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1110200>, <kernel.DependentProduct object at 0x1110128>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1109878>, <kernel.DependentProduct object at 0x1110320>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1110248>, <kernel.DependentProduct object at 0x1110488>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_un7362597486090784418nd_num:(num->(num->option_num))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x11103f8>, <kernel.DependentProduct object at 0x1110248>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num__rel
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_un4731106466462545111um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1110488>, <kernel.DependentProduct object at 0x11103f8>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_un2480387367778600638or_num:(num->(num->option_num))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1110248>, <kernel.DependentProduct object at 0x1110488>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num__rel
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bit_un2901131394128224187um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x11105f0>, <kernel.DependentProduct object at 0x11103f8>) of role type named sy_c_Code__Numeral_Obit__cut__integer
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring code_bit_cut_integer:(code_integer->produc6271795597528267376eger_o)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1110368>, <kernel.DependentProduct object at 0x11105f0>) of role type named sy_c_Code__Numeral_Odivmod__abs
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring code_divmod_abs:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1110518>, <kernel.DependentProduct object at 0x11103f8>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1110710>, <kernel.DependentProduct object at 0x1110680>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring code_int_of_integer:(code_integer->int)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x11103f8>, <kernel.DependentProduct object at 0x11107e8>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring code_integer_of_int:(int->code_integer)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x11106c8>, <kernel.DependentProduct object at 0x11107a0>) of role type named sy_c_Code__Numeral_Ointeger__of__num
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring code_integer_of_num:(num->code_integer)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1110518>, <kernel.DependentProduct object at 0x1110830>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring code_nat_of_integer:(code_integer->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1110680>, <kernel.DependentProduct object at 0x1110878>) of role type named sy_c_Code__Numeral_Onum__of__integer
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring code_num_of_integer:(code_integer->num)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x11107e8>, <kernel.DependentProduct object at 0x11108c0>) of role type named sy_c_Complex_OArg
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring arg:(complex->real)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x11107a0>, <kernel.DependentProduct object at 0x1110908>) of role type named sy_c_Complex_Ocis
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring cis:(real->complex)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110830>, <kernel.DependentProduct object at 0x1110950>) of role type named sy_c_Complex_Ocnj
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring cnj:(complex->complex)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110758>, <kernel.DependentProduct object at 0x1110830>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring complex2:(real->(real->complex))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x11109e0>, <kernel.DependentProduct object at 0x1110a70>) of role type named sy_c_Complex_Ocomplex_OIm
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring im:(complex->real)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110830>, <kernel.DependentProduct object at 0x1110a28>) of role type named sy_c_Complex_Ocomplex_ORe
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring re:(complex->real)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110680>, <kernel.DependentProduct object at 0x1110908>) of role type named sy_c_Complex_Ocsqrt
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring csqrt:(complex->complex)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110878>, <kernel.Constant object at 0x1110a70>) of role type named sy_c_Complex_Oimaginary__unit
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring imaginary_unit:complex
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110950>, <kernel.DependentProduct object at 0x1110830>) of role type named sy_c_Complex_Orcis
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring rcis:(real->(real->complex))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110908>, <kernel.DependentProduct object at 0x1110b00>) of role type named sy_c_Deriv_Odifferentiable_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring differ6690327859849518006l_real:((real->real)->(filter_real->Prop))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110830>, <kernel.DependentProduct object at 0x1110c68>) of role type named sy_c_Deriv_Ohas__derivative_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring has_de1759254742604945161l_real:((real->real)->((real->real)->(filter_real->Prop)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110b00>, <kernel.DependentProduct object at 0x1110c20>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110a70>, <kernel.DependentProduct object at 0x1110d40>) of role type named sy_c_Divides_Oadjust__div
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring adjust_div:(product_prod_int_int->int)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110a28>, <kernel.DependentProduct object at 0x1110b00>) of role type named sy_c_Divides_Oadjust__mod
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring adjust_mod:(int->(int->int))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110cf8>, <kernel.DependentProduct object at 0x1110a70>) of role type named sy_c_Divides_Odivmod__nat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110758>, <kernel.DependentProduct object at 0x1110cf8>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110a28>, <kernel.DependentProduct object at 0x1110c20>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Code____Numeral__Ointeger
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring unique5706413561485394159nteger:(produc8923325533196201883nteger->Prop)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110758>, <kernel.DependentProduct object at 0x1110e18>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110c20>, <kernel.DependentProduct object at 0x1110ea8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110e18>, <kernel.DependentProduct object at 0x1110c20>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110ea8>, <kernel.DependentProduct object at 0x1110758>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110c20>, <kernel.DependentProduct object at 0x1110ef0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110c20>, <kernel.DependentProduct object at 0x11121b8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring unique4921790084139445826nteger:(num->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110c20>, <kernel.DependentProduct object at 0x1112248>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1110ea8>, <kernel.DependentProduct object at 0x1112290>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1112248>, <kernel.DependentProduct object at 0x1112320>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Code____Numeral__Ointeger
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring comm_s8582702949713902594nteger:(code_integer->(nat->code_integer))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x11121b8>, <kernel.DependentProduct object at 0x11123b0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Complex__Ocomplex
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring comm_s2602460028002588243omplex:(complex->(nat->complex))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1112170>, <kernel.DependentProduct object at 0x1112440>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Int__Oint
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring comm_s4660882817536571857er_int:(int->(nat->int))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1112050>, <kernel.DependentProduct object at 0x1112170>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Nat__Onat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring comm_s4663373288045622133er_nat:(nat->(nat->nat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1112440>, <kernel.DependentProduct object at 0x1112050>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Rat__Orat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring comm_s4028243227959126397er_rat:(rat->(nat->rat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1112170>, <kernel.DependentProduct object at 0x1112440>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Real__Oreal
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring comm_s7457072308508201937r_real:(real->(nat->real))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1112050>, <kernel.DependentProduct object at 0x1112248>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Code____Numeral__Ointeger
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring semiri3624122377584611663nteger:(nat->code_integer)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1112440>, <kernel.DependentProduct object at 0x1112758>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x1112248>, <kernel.DependentProduct object at 0x11127e8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring semiri1406184849735516958ct_int:(nat->int)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112758>, <kernel.DependentProduct object at 0x1112878>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x11127e8>, <kernel.DependentProduct object at 0x1112908>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Rat__Orat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring semiri773545260158071498ct_rat:(nat->rat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112878>, <kernel.DependentProduct object at 0x1112998>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112908>, <kernel.DependentProduct object at 0x1112a28>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Complex__Ocomplex
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring invers8013647133539491842omplex:(complex->complex)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x11121b8>, <kernel.DependentProduct object at 0x1112ab8>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring inverse_inverse_rat:(rat->rat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112950>, <kernel.DependentProduct object at 0x1112b00>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring inverse_inverse_real:(real->real)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x11129e0>, <kernel.Constant object at 0x1112b00>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring at_bot_real:filter_real
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112ab8>, <kernel.Constant object at 0x1112b00>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring at_top_nat:filter_nat
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112998>, <kernel.Constant object at 0x1112b00>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring at_top_real:filter_real
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112908>, <kernel.DependentProduct object at 0x1112ab8>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112b00>, <kernel.DependentProduct object at 0x1112998>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112ab8>, <kernel.DependentProduct object at 0x1112bd8>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112cf8>, <kernel.DependentProduct object at 0x1112c68>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112d88>, <kernel.DependentProduct object at 0x1112cb0>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x11122d8>, <kernel.DependentProduct object at 0x1112e18>) of role type named sy_c_Finite__Set_Ocard_001_Eo
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite_card_o:(set_o->nat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112908>, <kernel.DependentProduct object at 0x1112d88>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite_card_complex:(set_complex->nat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112e18>, <kernel.DependentProduct object at 0x1112d40>) of role type named sy_c_Finite__Set_Ocard_001t__List__Olist_It__Nat__Onat_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite_card_list_nat:(set_list_nat->nat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112ab8>, <kernel.DependentProduct object at 0x1112e60>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite_card_nat:(set_nat->nat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112e18>, <kernel.DependentProduct object at 0x1112ea8>) of role type named sy_c_Finite__Set_Ocard_001t__Product____Type__Ounit
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite410649719033368117t_unit:(set_Product_unit->nat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x11122d8>, <kernel.DependentProduct object at 0x1112f38>) of role type named sy_c_Finite__Set_Ocard_001t__String__Ochar
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite_card_char:(set_char->nat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112dd0>, <kernel.DependentProduct object at 0x1112f80>) of role type named sy_c_Finite__Set_Ofinite_001_Eo
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite_finite_o:(set_o->Prop)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112e18>, <kernel.DependentProduct object at 0x1112e60>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112f38>, <kernel.DependentProduct object at 0x129a050>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite_finite_int:(set_int->Prop)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112dd0>, <kernel.DependentProduct object at 0x129a098>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_I_Eo_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite_finite_list_o:(set_list_o->Prop)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112f38>, <kernel.DependentProduct object at 0x129a0e0>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Complex__Ocomplex_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite8712137658972009173omplex:(set_list_complex->Prop)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112f38>, <kernel.DependentProduct object at 0x129a170>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Int__Oint_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite3922522038869484883st_int:(set_list_int->Prop)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112f38>, <kernel.DependentProduct object at 0x129a200>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Nat__Onat_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite8100373058378681591st_nat:(set_list_nat->Prop)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x129a050>, <kernel.DependentProduct object at 0x129a290>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite3004134309566078307T_VEBT:(set_list_VEBT_VEBT->Prop)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112908>, <kernel.DependentProduct object at 0x129a320>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite_finite_nat:(set_nat->Prop)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1112908>, <kernel.DependentProduct object at 0x129a368>) of role type named sy_c_Finite__Set_Ofinite_001t__Num__Onum
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite_finite_num:(set_num->Prop)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x129a128>, <kernel.DependentProduct object at 0x129a3b0>) of role type named sy_c_Finite__Set_Ofinite_001t__Rat__Orat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite_finite_rat:(set_rat->Prop)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x129a200>, <kernel.DependentProduct object at 0x129a3f8>) of role type named sy_c_Finite__Set_Ofinite_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite_finite_real:(set_real->Prop)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x129a128>, <kernel.DependentProduct object at 0x129a440>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite1152437895449049373et_nat:(set_set_nat->Prop)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x129a3f8>, <kernel.DependentProduct object at 0x129a4d0>) of role type named sy_c_Finite__Set_Ofinite_001t__VEBT____Definitions__OVEBT
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring finite5795047828879050333T_VEBT:(set_VEBT_VEBT->Prop)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x129a440>, <kernel.DependentProduct object at 0x129a128>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x129a5f0>, <kernel.DependentProduct object at 0x129a488>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x129a638>, <kernel.DependentProduct object at 0x129a3f8>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x129a5f0>, <kernel.DependentProduct object at 0x129a638>) of role type named sy_c_Fun_Ocomp_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring comp_C8797469213163452608nteger:(((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->(code_integer->code_integer))->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x129a3f8>, <kernel.DependentProduct object at 0x129a5f0>) of role type named sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring comp_C1593894019821074884nteger:((code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->code_integer)->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x129a758>, <kernel.DependentProduct object at 0x129a7a0>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring comp_nat_nat_nat:((nat->nat)->((nat->nat)->(nat->nat)))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x129a128>, <kernel.DependentProduct object at 0x129a830>) of role type named sy_c_Fun_Oid_001_Eo
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring id_o:(Prop->Prop)
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x129a1b8>, <kernel.DependentProduct object at 0x129a908>) of role type named sy_c_Fun_Oid_001t__Nat__Onat
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring id_nat:(nat->nat)
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x129a7e8>, <kernel.DependentProduct object at 0x129a908>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring inj_on_nat_nat:((nat->nat)->(set_nat->Prop))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x129a1b8>, <kernel.DependentProduct object at 0x129a5f0>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__String__Ochar
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring inj_on_nat_char:((nat->char)->(set_nat->Prop))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x129a908>, <kernel.DependentProduct object at 0x129a128>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring inj_on_real_real:((real->real)->(set_real->Prop))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x129a1b8>, <kernel.DependentProduct object at 0x129a758>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring map_fu4960017516451851995nt_int:((int->product_prod_nat_nat)->(((product_prod_nat_nat->product_prod_nat_nat)->(int->int))->((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(int->(int->int)))))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0x129a128>, <kernel.DependentProduct object at 0x129aa70>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring map_fu3667384564859982768at_int:((int->product_prod_nat_nat)->((product_prod_nat_nat->int)->((product_prod_nat_nat->product_prod_nat_nat)->(int->int))))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0x129a758>, <kernel.DependentProduct object at 0x129aab8>) of role type named sy_c_Fun_Omap__fun_001t__Rat__Orat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Rat__Orat_Mt__Rat__Orat_J
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring map_fu4333342158222067775at_rat:((rat->product_prod_int_int)->(((product_prod_int_int->product_prod_int_int)->(rat->rat))->((product_prod_int_int->(product_prod_int_int->product_prod_int_int))->(rat->(rat->rat)))))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0x129aa70>, <kernel.DependentProduct object at 0x129a758>) of role type named sy_c_Fun_Omap__fun_001t__Rat__Orat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo_001_Eo
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring map_fu898904425404107465nt_o_o:((rat->product_prod_int_int)->((Prop->Prop)->((product_prod_int_int->Prop)->(rat->Prop))))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0x129aab8>, <kernel.DependentProduct object at 0x129acb0>) of role type named sy_c_Fun_Omap__fun_001t__Rat__Orat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring map_fu5673905371560938248nt_rat:((rat->product_prod_int_int)->((product_prod_int_int->rat)->((product_prod_int_int->product_prod_int_int)->(rat->rat))))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0x129a758>, <kernel.DependentProduct object at 0x129ac20>) of role type named sy_c_Fun_Ostrict__mono__on_001t__Nat__Onat_001t__Nat__Onat
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring strict1292158309912662752at_nat:((nat->nat)->(set_nat->Prop))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0x129acb0>, <kernel.DependentProduct object at 0x129ac68>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0x129ad40>, <kernel.DependentProduct object at 0x129ac20>) of role type named sy_c_GCD_Obezw
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring bezw:(nat->(nat->product_prod_int_int))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0x129ae18>, <kernel.DependentProduct object at 0x129acb0>) of role type named sy_c_GCD_Obezw__rel
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring bezw_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0x129a9e0>, <kernel.DependentProduct object at 0x129ad40>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Int__Oint
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring gcd_gcd_int:(int->(int->int))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0x129add0>, <kernel.DependentProduct object at 0x129ae18>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Nat__Onat
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring gcd_gcd_nat:(nat->(nat->nat))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0x129ae60>, <kernel.DependentProduct object at 0x129a9e0>) of role type named sy_c_GCD_Ogcd__nat__rel
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring gcd_nat_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0x129ab90>, <kernel.DependentProduct object at 0x129ac68>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0x129ad40>, <kernel.DependentProduct object at 0x129af38>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring abs_abs_complex:(complex->complex)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129aef0>, <kernel.DependentProduct object at 0x129af80>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring abs_abs_int:(int->int)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129a9e0>, <kernel.DependentProduct object at 0x129afc8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring abs_abs_rat:(rat->rat)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129ac68>, <kernel.DependentProduct object at 0x129c050>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring abs_abs_real:(real->real)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129a9e0>, <kernel.DependentProduct object at 0x129af38>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_8373710615458151222nteger:(code_integer->(code_integer->code_integer))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129afc8>, <kernel.DependentProduct object at 0x129ad40>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129afc8>, <kernel.DependentProduct object at 0x129c1b8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Extended____Nat__Oenat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_3235023915231533773d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129ad40>, <kernel.DependentProduct object at 0x129c170>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_minus_int:(int->(int->int))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129af38>, <kernel.DependentProduct object at 0x129c290>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129ad40>, <kernel.DependentProduct object at 0x129c128>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_minus_rat:(rat->(rat->rat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129af38>, <kernel.DependentProduct object at 0x129c1b8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_minus_real:(real->(real->real))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c2d8>, <kernel.DependentProduct object at 0x129c368>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c050>, <kernel.DependentProduct object at 0x129c170>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c248>, <kernel.DependentProduct object at 0x129c2d8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c050>, <kernel.DependentProduct object at 0x129c368>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_1356011639430497352at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c200>, <kernel.DependentProduct object at 0x129c2d8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c050>, <kernel.DependentProduct object at 0x129c200>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_5127226145743854075T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c518>, <kernel.Constant object at 0x129c200>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring one_one_Code_integer:code_integer
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c170>, <kernel.Constant object at 0x129c200>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring one_one_complex:complex
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c518>, <kernel.Constant object at 0x129c368>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c3b0>, <kernel.Constant object at 0x129c368>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring one_one_int:int
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c5f0>, <kernel.Constant object at 0x129c368>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring one_one_nat:nat
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c638>, <kernel.Constant object at 0x129c368>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring one_one_rat:rat
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c680>, <kernel.Constant object at 0x129c368>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring one_one_real:real
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c638>, <kernel.DependentProduct object at 0x129c680>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c7e8>, <kernel.DependentProduct object at 0x129c368>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c638>, <kernel.DependentProduct object at 0x129c7e8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c8c0>, <kernel.DependentProduct object at 0x129c368>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring plus_plus_int:(int->(int->int))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c6c8>, <kernel.DependentProduct object at 0x129c638>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c998>, <kernel.DependentProduct object at 0x129c8c0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring plus_plus_num:(num->(num->num))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c680>, <kernel.DependentProduct object at 0x129c6c8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c878>, <kernel.DependentProduct object at 0x129c998>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring plus_plus_real:(real->(real->real))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c7e8>, <kernel.DependentProduct object at 0x129c368>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c8c0>, <kernel.DependentProduct object at 0x129c638>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring sgn_sgn_complex:(complex->complex)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x129c6c8>, <kernel.DependentProduct object at 0x129cb48>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring sgn_sgn_int:(int->int)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129c998>, <kernel.DependentProduct object at 0x129cb90>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring sgn_sgn_rat:(rat->rat)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129c368>, <kernel.DependentProduct object at 0x129cbd8>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring sgn_sgn_real:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129c998>, <kernel.DependentProduct object at 0x129c368>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129cc20>, <kernel.DependentProduct object at 0x129cbd8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_times_complex:(complex->(complex->complex))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129c998>, <kernel.DependentProduct object at 0x129cc20>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129ccf8>, <kernel.DependentProduct object at 0x129cbd8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_times_int:(int->(int->int))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129c638>, <kernel.DependentProduct object at 0x129c998>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_times_nat:(nat->(nat->nat))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129cdd0>, <kernel.DependentProduct object at 0x129ccf8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_times_num:(num->(num->num))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129c368>, <kernel.DependentProduct object at 0x129c638>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_times_rat:(rat->(rat->rat))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129ccb0>, <kernel.DependentProduct object at 0x129cdd0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_times_real:(real->(real->real))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129c368>, <kernel.DependentProduct object at 0x129cbd8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129cdd0>, <kernel.DependentProduct object at 0x129cf80>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129cc20>, <kernel.DependentProduct object at 0x12a0050>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus_uminus_int:(int->int)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129cf38>, <kernel.DependentProduct object at 0x12a0098>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus_uminus_rat:(rat->rat)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129cf80>, <kernel.DependentProduct object at 0x12a00e0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus_uminus_real:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129cf38>, <kernel.DependentProduct object at 0x12a0128>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129cf38>, <kernel.Constant object at 0x12a0128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring zero_z3403309356797280102nteger:code_integer
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129cdd0>, <kernel.Constant object at 0x12a00e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring zero_zero_complex:complex
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x12a0050>, <kernel.Constant object at 0x12a0128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129cdd0>, <kernel.Constant object at 0x12a0128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring zero_zero_int:int
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x129cdd0>, <kernel.Constant object at 0x12a0128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring zero_zero_nat:nat
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x12a0290>, <kernel.Constant object at 0x12a0128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring zero_zero_rat:rat
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x12a02d8>, <kernel.Constant object at 0x12a0128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring zero_zero_real:real
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x12a0290>, <kernel.DependentProduct object at 0x12a0320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring groups6621422865394947399nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x12a0128>, <kernel.DependentProduct object at 0x12a02d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x12a0320>, <kernel.DependentProduct object at 0x12a0290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x12a02d8>, <kernel.DependentProduct object at 0x12a0128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x12a0290>, <kernel.DependentProduct object at 0x12a0320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring groups5058264527183730370ex_rat:((complex->rat)->(set_complex->rat))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x12a0128>, <kernel.DependentProduct object at 0x12a02d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x12a0320>, <kernel.DependentProduct object at 0x12a0290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring groups7873554091576472773nteger:((int->code_integer)->(set_int->code_integer))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x12a02d8>, <kernel.DependentProduct object at 0x12a0128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Complex__Ocomplex
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring groups3049146728041665814omplex:((int->complex)->(set_int->complex))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x12a0290>, <kernel.DependentProduct object at 0x12a0320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a0128>, <kernel.DependentProduct object at 0x12a02d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a0320>, <kernel.DependentProduct object at 0x12a0290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Rat__Orat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups3906332499630173760nt_rat:((int->rat)->(set_int->rat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a02d8>, <kernel.DependentProduct object at 0x12a0128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a0290>, <kernel.DependentProduct object at 0x12a0320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups7501900531339628137nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a0128>, <kernel.DependentProduct object at 0x12a02d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a0320>, <kernel.DependentProduct object at 0x12a0290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a02d8>, <kernel.DependentProduct object at 0x12a0128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a0290>, <kernel.DependentProduct object at 0x12a0320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Rat__Orat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups2906978787729119204at_rat:((nat->rat)->(set_nat->rat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a0128>, <kernel.DependentProduct object at 0x12a02d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a0320>, <kernel.DependentProduct object at 0x12a0170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups977919841031483927at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->nat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a02d8>, <kernel.DependentProduct object at 0x12a0290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups7713935264441627589nteger:((real->code_integer)->(set_real->code_integer))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a0170>, <kernel.DependentProduct object at 0x12a0320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Int__Oint
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups1932886352136224148al_int:((real->int)->(set_real->int))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a0290>, <kernel.DependentProduct object at 0x12a02d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a0320>, <kernel.DependentProduct object at 0x12a0e18>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Rat__Orat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups1300246762558778688al_rat:((real->rat)->(set_real->rat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a0320>, <kernel.DependentProduct object at 0x12a6098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a0320>, <kernel.DependentProduct object at 0x12a6128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups769130701875090982BT_int:((vEBT_VEBT->int)->(set_VEBT_VEBT->int))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a0290>, <kernel.DependentProduct object at 0x12a6170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups771621172384141258BT_nat:((vEBT_VEBT->nat)->(set_VEBT_VEBT->nat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a6200>, <kernel.DependentProduct object at 0x12a6248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Rat__Orat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups136491112297645522BT_rat:((vEBT_VEBT->rat)->(set_VEBT_VEBT->rat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a62d8>, <kernel.DependentProduct object at 0x12a61b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups2240296850493347238T_real:((vEBT_VEBT->real)->(set_VEBT_VEBT->real))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a6290>, <kernel.DependentProduct object at 0x12a6200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups3708469109370488835omplex:((complex->complex)->(set_complex->complex))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a6368>, <kernel.DependentProduct object at 0x12a63f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Int__Oint
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups858564598930262913ex_int:((complex->int)->(set_complex->int))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a6290>, <kernel.DependentProduct object at 0x12a62d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups861055069439313189ex_nat:((complex->nat)->(set_complex->nat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a63f8>, <kernel.DependentProduct object at 0x12a6368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups225925009352817453ex_rat:((complex->rat)->(set_complex->rat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a62d8>, <kernel.DependentProduct object at 0x12a6290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups766887009212190081x_real:((complex->real)->(set_complex->real))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a6368>, <kernel.DependentProduct object at 0x12a63f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Complex__Ocomplex
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups7440179247065528705omplex:((int->complex)->(set_int->complex))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a6290>, <kernel.DependentProduct object at 0x12a62d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a63f8>, <kernel.DependentProduct object at 0x12a6368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Nat__Onat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups1707563613775114915nt_nat:((int->nat)->(set_int->nat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x12a62d8>, <kernel.DependentProduct object at 0x12a6290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Rat__Orat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups1072433553688619179nt_rat:((int->rat)->(set_int->rat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a6368>, <kernel.DependentProduct object at 0x12a63f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Real__Oreal
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups2316167850115554303t_real:((int->real)->(set_int->real))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a6290>, <kernel.DependentProduct object at 0x12a62d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups6464643781859351333omplex:((nat->complex)->(set_nat->complex))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a63f8>, <kernel.DependentProduct object at 0x12a6368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a62d8>, <kernel.DependentProduct object at 0x12a6290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a6368>, <kernel.DependentProduct object at 0x12a63f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Rat__Orat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups73079841787564623at_rat:((nat->rat)->(set_nat->rat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a6290>, <kernel.DependentProduct object at 0x12a62d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Real__Oreal
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups129246275422532515t_real:((nat->real)->(set_nat->real))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a63f8>, <kernel.DependentProduct object at 0x12a6368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups713298508707869441omplex:((real->complex)->(set_real->complex))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a62d8>, <kernel.DependentProduct object at 0x12a6290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Int__Oint
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups4694064378042380927al_int:((real->int)->(set_real->int))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a6368>, <kernel.DependentProduct object at 0x12a63f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Nat__Onat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups4696554848551431203al_nat:((real->nat)->(set_real->nat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a6290>, <kernel.DependentProduct object at 0x12a62d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Rat__Orat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups4061424788464935467al_rat:((real->rat)->(set_real->rat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a63f8>, <kernel.DependentProduct object at 0x12a6368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Real__Oreal
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups1681761925125756287l_real:((real->real)->(set_real->real))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a62d8>, <kernel.DependentProduct object at 0x12a6290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__VEBT____Definitions__OVEBT_001t__Rat__Orat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups5726676334696518183BT_rat:((vEBT_VEBT->rat)->(set_VEBT_VEBT->rat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a6368>, <kernel.DependentProduct object at 0x12a63f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups2703838992350267259T_real:((vEBT_VEBT->real)->(set_VEBT_VEBT->real))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a6290>, <kernel.DependentProduct object at 0x12a8050>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Int__Oint
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups9116527308978886569_o_int:((Prop->int)->(int->(list_o->int)))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a63f8>, <kernel.DependentProduct object at 0x12a8200>) of role type named sy_c_Groups__List_Omonoid__add__class_Osum__list_001t__Nat__Onat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups4561878855575611511st_nat:(list_nat->nat)
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a6320>, <kernel.DependentProduct object at 0x12a8248>) of role type named sy_c_HOL_OThe_001t__Int__Oint
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring the_int:((int->Prop)->int)
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a6fc8>, <kernel.DependentProduct object at 0x12a8128>) of role type named sy_c_HOL_OThe_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring the_Pr4378521158711661632nt_int:((product_prod_int_int->Prop)->product_prod_int_int)
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a6fc8>, <kernel.DependentProduct object at 0x12a8320>) of role type named sy_c_HOL_OThe_001t__Real__Oreal
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring the_real:((real->Prop)->real)
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a6320>, <kernel.DependentProduct object at 0x12a8368>) of role type named sy_c_If_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring if_int_int:(Prop->((int->int)->((int->int)->(int->int))))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a6320>, <kernel.DependentProduct object at 0x12a8368>) of role type named sy_c_If_001t__Code____Numeral__Ointeger
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring if_Code_integer:(Prop->(code_integer->(code_integer->code_integer)))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a82d8>, <kernel.DependentProduct object at 0x12a8320>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a8488>, <kernel.DependentProduct object at 0x12a82d8>) of role type named sy_c_If_001t__Extended____Nat__Oenat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring if_Extended_enat:(Prop->(extended_enat->(extended_enat->extended_enat)))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a8440>, <kernel.DependentProduct object at 0x12a82d8>) of role type named sy_c_If_001t__Int__Oint
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring if_int:(Prop->(int->(int->int)))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a8098>, <kernel.DependentProduct object at 0x12a82d8>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a8518>, <kernel.DependentProduct object at 0x12a82d8>) of role type named sy_c_If_001t__List__Olist_It__Nat__Onat_J
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring if_list_nat:(Prop->(list_nat->(list_nat->list_nat)))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a8560>, <kernel.DependentProduct object at 0x12a82d8>) of role type named sy_c_If_001t__Nat__Onat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a85a8>, <kernel.DependentProduct object at 0x12a82d8>) of role type named sy_c_If_001t__Num__Onum
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring if_num:(Prop->(num->(num->num)))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a85f0>, <kernel.DependentProduct object at 0x12a82d8>) of role type named sy_c_If_001t__Option__Ooption_It__Nat__Onat_J
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring if_option_nat:(Prop->(option_nat->(option_nat->option_nat)))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a8638>, <kernel.DependentProduct object at 0x12a82d8>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x12a85f0>, <kernel.DependentProduct object at 0x12a81b8>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring if_Pro5737122678794959658eger_o:(Prop->(produc6271795597528267376eger_o->(produc6271795597528267376eger_o->produc6271795597528267376eger_o)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a82d8>, <kernel.DependentProduct object at 0x12a8248>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a81b8>, <kernel.DependentProduct object at 0x12a8368>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8248>, <kernel.DependentProduct object at 0x12a8638>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a87e8>, <kernel.DependentProduct object at 0x12a8638>) of role type named sy_c_If_001t__Rat__Orat
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8878>, <kernel.DependentProduct object at 0x12a8638>) of role type named sy_c_If_001t__Real__Oreal
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_real:(Prop->(real->(real->real)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8950>, <kernel.DependentProduct object at 0x12a8638>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8998>, <kernel.DependentProduct object at 0x12a8638>) of role type named sy_c_If_001t__Set__Oset_It__Nat__Onat_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_set_nat:(Prop->(set_nat->(set_nat->set_nat)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a89e0>, <kernel.DependentProduct object at 0x12a8638>) of role type named sy_c_If_001t__VEBT____Definitions__OVEBT
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_VEBT_VEBT:(Prop->(vEBT_VEBT->(vEBT_VEBT->vEBT_VEBT)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8a28>, <kernel.DependentProduct object at 0x12a8a70>) of role type named sy_c_Int_OAbs__Integ
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring abs_Integ:(product_prod_nat_nat->int)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a86c8>, <kernel.DependentProduct object at 0x12a8248>) of role type named sy_c_Int_ORep__Integ
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring rep_Integ:(int->product_prod_nat_nat)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a80e0>, <kernel.DependentProduct object at 0x12a86c8>) of role type named sy_c_Int_Oint__ge__less__than
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring int_ge_less_than:(int->set_Pr958786334691620121nt_int)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8878>, <kernel.DependentProduct object at 0x12a8248>) of role type named sy_c_Int_Oint__ge__less__than2
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring int_ge_less_than2:(int->set_Pr958786334691620121nt_int)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8998>, <kernel.DependentProduct object at 0x12a8a28>) of role type named sy_c_Int_Ointrel
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring intrel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a86c8>, <kernel.DependentProduct object at 0x12a8ab8>) of role type named sy_c_Int_Onat
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring nat2:(int->nat)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8638>, <kernel.DependentProduct object at 0x12a8998>) of role type named sy_c_Int_Opcr__int
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring pcr_int:(product_prod_nat_nat->(int->Prop))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8b48>, <kernel.DependentProduct object at 0x12a86c8>) of role type named sy_c_Int_Opower__int_001t__Real__Oreal
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring power_int_real:(real->(int->real))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8b90>, <kernel.Constant object at 0x12a86c8>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Real__Oreal
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring ring_1_Ints_real:set_real
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8b48>, <kernel.DependentProduct object at 0x12a8a28>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a86c8>, <kernel.DependentProduct object at 0x12a8cf8>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8998>, <kernel.DependentProduct object at 0x12a8d88>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring ring_1_of_int_int:(int->int)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8c20>, <kernel.DependentProduct object at 0x12a8dd0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Rat__Orat
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring ring_1_of_int_rat:(int->rat)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8cb0>, <kernel.DependentProduct object at 0x12a8e18>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring ring_1_of_int_real:(int->real)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8c20>, <kernel.DependentProduct object at 0x12a8cb0>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Extended____Nat__Oenat
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring inf_in1870772243966228564d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8e60>, <kernel.DependentProduct object at 0x12a8e18>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Nat__Onat
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring inf_inf_nat:(nat->(nat->nat))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8c20>, <kernel.DependentProduct object at 0x12a86c8>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring inf_in2572325071724192079at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8e18>, <kernel.DependentProduct object at 0x12a8e60>) of role type named sy_c_Lattices_Osemilattice__neutr__order_001t__Nat__Onat
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring semila1623282765462674594er_nat:((nat->(nat->nat))->(nat->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a86c8>, <kernel.DependentProduct object at 0x12a8f80>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Extended____Nat__Oenat
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring sup_su3973961784419623482d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8fc8>, <kernel.DependentProduct object at 0x12a8dd0>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring sup_sup_nat:(nat->(nat->nat))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8e60>, <kernel.DependentProduct object at 0x12ab200>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring sup_sup_set_nat:(set_nat->(set_nat->set_nat))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8e60>, <kernel.DependentProduct object at 0x12ab098>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8fc8>, <kernel.DependentProduct object at 0x12ab128>) of role type named sy_c_List_Oappend_001t__Int__Oint
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring append_int:(list_int->(list_int->list_int))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8f80>, <kernel.DependentProduct object at 0x12ab290>) of role type named sy_c_List_Oappend_001t__Nat__Onat
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring append_nat:(list_nat->(list_nat->list_nat))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12a8f80>, <kernel.DependentProduct object at 0x12ab368>) of role type named sy_c_List_Odistinct_001t__Int__Oint
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring distinct_int:(list_int->Prop)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x12ab248>, <kernel.DependentProduct object at 0x12ab200>) of role type named sy_c_List_Odistinct_001t__Nat__Onat
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring distinct_nat:(list_nat->Prop)
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab098>, <kernel.DependentProduct object at 0x12ab0e0>) of role type named sy_c_List_Odrop_001t__Nat__Onat
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring drop_nat:(nat->(list_nat->list_nat))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab320>, <kernel.DependentProduct object at 0x12ab3b0>) of role type named sy_c_List_Olinorder__class_Osort__key_001t__Int__Oint_001t__Int__Oint
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring linord1735203802627413978nt_int:((int->int)->(list_int->list_int))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab098>, <kernel.DependentProduct object at 0x12ab248>) of role type named sy_c_List_Olinorder__class_Osort__key_001t__Nat__Onat_001t__Nat__Onat
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring linord738340561235409698at_nat:((nat->nat)->(list_nat->list_nat))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab3b0>, <kernel.DependentProduct object at 0x12ab290>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab320>, <kernel.DependentProduct object at 0x12ab248>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring cons_int:(int->(list_int->list_int))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab560>, <kernel.DependentProduct object at 0x12ab3b0>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab5a8>, <kernel.Constant object at 0x12ab3b0>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring nil_int:list_int
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab248>, <kernel.Constant object at 0x12ab3b0>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring nil_nat:list_nat
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab2d8>, <kernel.DependentProduct object at 0x12ab6c8>) of role type named sy_c_List_Olist_Ohd_001t__Nat__Onat
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring hd_nat:(list_nat->nat)
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab638>, <kernel.DependentProduct object at 0x12ab6c8>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__Nat__Onat
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring map_nat_nat:((nat->nat)->(list_nat->list_nat))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab5a8>, <kernel.DependentProduct object at 0x12ab710>) of role type named sy_c_List_Olist_Oset_001_Eo
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring set_o2:(list_o->set_o)
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab368>, <kernel.DependentProduct object at 0x12ab290>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring set_complex2:(list_complex->set_complex)
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab248>, <kernel.DependentProduct object at 0x12ab7a0>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring set_int2:(list_int->set_int)
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab6c8>, <kernel.DependentProduct object at 0x12ab7e8>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring set_nat2:(list_nat->set_nat)
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab248>, <kernel.DependentProduct object at 0x12ab6c8>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring set_Pr5648618587558075414at_nat:(list_P6011104703257516679at_nat->set_Pr1261947904930325089at_nat)
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab7a0>, <kernel.DependentProduct object at 0x12ab8c0>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring set_real2:(list_real->set_real)
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab5a8>, <kernel.DependentProduct object at 0x12ab908>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab368>, <kernel.DependentProduct object at 0x12ab6c8>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab098>, <kernel.DependentProduct object at 0x12ab7e8>) of role type named sy_c_List_Olist_Otl_001t__Nat__Onat
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring tl_nat:(list_nat->list_nat)
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab7a0>, <kernel.DependentProduct object at 0x12ab6c8>) of role type named sy_c_List_Olist__update_001_Eo
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring list_update_o:(list_o->(nat->(Prop->list_o)))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12aba28>, <kernel.DependentProduct object at 0x12ab5a8>) of role type named sy_c_List_Olist__update_001t__Complex__Ocomplex
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring list_update_complex:(list_complex->(nat->(complex->list_complex)))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab998>, <kernel.DependentProduct object at 0x12ab098>) of role type named sy_c_List_Olist__update_001t__Int__Oint
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring list_update_int:(list_int->(nat->(int->list_int)))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12abb48>, <kernel.DependentProduct object at 0x12aba28>) of role type named sy_c_List_Olist__update_001t__Nat__Onat
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring list_update_nat:(list_nat->(nat->(nat->list_nat)))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab998>, <kernel.DependentProduct object at 0x12abb48>) of role type named sy_c_List_Olist__update_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring list_u6180841689913720943at_nat:(list_P6011104703257516679at_nat->(nat->(product_prod_nat_nat->list_P6011104703257516679at_nat)))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12abbd8>, <kernel.DependentProduct object at 0x12aba28>) of role type named sy_c_List_Olist__update_001t__Real__Oreal
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring list_update_real:(list_real->(nat->(real->list_real)))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab998>, <kernel.DependentProduct object at 0x12abbd8>) of role type named sy_c_List_Olist__update_001t__VEBT____Definitions__OVEBT
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring list_u1324408373059187874T_VEBT:(list_VEBT_VEBT->(nat->(vEBT_VEBT->list_VEBT_VEBT)))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12abcb0>, <kernel.DependentProduct object at 0x12aba28>) of role type named sy_c_List_Onth_001_Eo
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring nth_o:(list_o->(nat->Prop))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12abc20>, <kernel.DependentProduct object at 0x12ab998>) of role type named sy_c_List_Onth_001t__Code____Numeral__Ointeger
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring nth_Code_integer:(list_Code_integer->(nat->code_integer))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12abcf8>, <kernel.DependentProduct object at 0x12abcb0>) of role type named sy_c_List_Onth_001t__Complex__Ocomplex
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring nth_complex:(list_complex->(nat->complex))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab950>, <kernel.DependentProduct object at 0x12abcf8>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring nth_int:(list_int->(nat->int))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12abb00>, <kernel.DependentProduct object at 0x12abcb0>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring nth_nat:(list_nat->(nat->nat))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12abbd8>, <kernel.DependentProduct object at 0x12ab950>) of role type named sy_c_List_Onth_001t__Num__Onum
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring nth_num:(list_num->(nat->num))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12ab998>, <kernel.DependentProduct object at 0x12abc20>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring nth_Product_prod_o_o:(list_P4002435161011370285od_o_o->(nat->product_prod_o_o))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x12abb00>, <kernel.DependentProduct object at 0x12ab998>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring nth_Pr1649062631805364268_o_int:(list_P3795440434834930179_o_int->(nat->product_prod_o_int))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12abc20>, <kernel.DependentProduct object at 0x12abb00>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring nth_Pr5826913651314560976_o_nat:(list_P6285523579766656935_o_nat->(nat->product_prod_o_nat))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ab998>, <kernel.DependentProduct object at 0x12abc20>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring nth_Pr6777367263587873994T_VEBT:(list_P7495141550334521929T_VEBT->(nat->produc2504756804600209347T_VEBT))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12abb00>, <kernel.DependentProduct object at 0x12ab998>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring nth_Pr8522763379788166057eger_o:(list_P8526636022914148096eger_o->(nat->produc6271795597528267376eger_o))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12abc20>, <kernel.DependentProduct object at 0x12abf80>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring nth_Pr7617993195940197384at_nat:(list_P6011104703257516679at_nat->(nat->product_prod_nat_nat))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12abc20>, <kernel.DependentProduct object at 0x12abef0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring nth_Pr6456567536196504476um_num:(list_P3744719386663036955um_num->(nat->product_prod_num_num))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12abef0>, <kernel.DependentProduct object at 0x12ae0e0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12abf80>, <kernel.DependentProduct object at 0x12ae290>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring nth_Pr6837108013167703752BT_int:(list_P4547456442757143711BT_int->(nat->produc4894624898956917775BT_int))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae248>, <kernel.DependentProduct object at 0x12ae320>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring nth_Pr1791586995822124652BT_nat:(list_P7037539587688870467BT_nat->(nat->produc9072475918466114483BT_nat))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae368>, <kernel.DependentProduct object at 0x12ae3b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae3f8>, <kernel.DependentProduct object at 0x12ae368>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring nth_real:(list_real->(nat->real))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae488>, <kernel.DependentProduct object at 0x12ae290>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae320>, <kernel.DependentProduct object at 0x12ae488>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae560>, <kernel.DependentProduct object at 0x12ae3b0>) of role type named sy_c_List_Oproduct_001_Eo_001t__Int__Oint
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring product_o_int:(list_o->(list_int->list_P3795440434834930179_o_int))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae5a8>, <kernel.DependentProduct object at 0x12ae290>) of role type named sy_c_List_Oproduct_001_Eo_001t__Nat__Onat
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring product_o_nat:(list_o->(list_nat->list_P6285523579766656935_o_nat))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae3f8>, <kernel.DependentProduct object at 0x12ae560>) of role type named sy_c_List_Oproduct_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring product_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae5a8>, <kernel.DependentProduct object at 0x12ae3f8>) of role type named sy_c_List_Oproduct_001t__Code____Numeral__Ointeger_001_Eo
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring produc3607205314601156340eger_o:(list_Code_integer->(list_o->list_P8526636022914148096eger_o))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae5f0>, <kernel.DependentProduct object at 0x12ae560>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001_Eo
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring product_nat_o:(list_nat->(list_o->list_P7333126701944960589_nat_o))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae5a8>, <kernel.DependentProduct object at 0x12ae5f0>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring produc7156399406898700509T_VEBT:(list_nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae638>, <kernel.DependentProduct object at 0x12ae560>) of role type named sy_c_List_Oproduct_001t__Num__Onum_001t__Num__Onum
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring product_num_num:(list_num->(list_num->list_P3744719386663036955um_num))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae7a0>, <kernel.DependentProduct object at 0x12ae5a8>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae638>, <kernel.DependentProduct object at 0x12ae7a0>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring produc7292646706713671643BT_int:(list_VEBT_VEBT->(list_int->list_P4547456442757143711BT_int))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae5a8>, <kernel.DependentProduct object at 0x12ae638>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring produc7295137177222721919BT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae7a0>, <kernel.DependentProduct object at 0x12ae5a8>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae518>, <kernel.DependentProduct object at 0x12ae9e0>) of role type named sy_c_List_Oremdups_001t__Nat__Onat
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring remdups_nat:(list_nat->list_nat)
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae7e8>, <kernel.DependentProduct object at 0x12ae7a0>) of role type named sy_c_List_Oreplicate_001_Eo
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring replicate_o:(nat->(Prop->list_o))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae830>, <kernel.DependentProduct object at 0x12ae5a8>) of role type named sy_c_List_Oreplicate_001t__Complex__Ocomplex
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring replicate_complex:(nat->(complex->list_complex))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae638>, <kernel.DependentProduct object at 0x12ae7e8>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring replicate_int:(nat->(int->list_int))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12aea70>, <kernel.DependentProduct object at 0x12ae830>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.62/0.78 Using role type
% 0.62/0.78 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.62/0.78 FOF formula (<kernel.Constant object at 0x12ae638>, <kernel.DependentProduct object at 0x12aea70>) of role type named sy_c_List_Oreplicate_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.78 Using role type
% 0.62/0.79 Declaring replic4235873036481779905at_nat:(nat->(product_prod_nat_nat->list_P6011104703257516679at_nat))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12ae7a0>, <kernel.DependentProduct object at 0x12ae830>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring replicate_real:(nat->(real->list_real))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12ae518>, <kernel.DependentProduct object at 0x12ae638>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12aebd8>, <kernel.DependentProduct object at 0x12ae8c0>) of role type named sy_c_List_Osorted__wrt_001t__Int__Oint
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring sorted_wrt_int:((int->(int->Prop))->(list_int->Prop))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12ae638>, <kernel.DependentProduct object at 0x12aec68>) of role type named sy_c_List_Osorted__wrt_001t__Nat__Onat
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring sorted_wrt_nat:((nat->(nat->Prop))->(list_nat->Prop))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12ae950>, <kernel.DependentProduct object at 0x12ae638>) of role type named sy_c_List_Otake_001t__Nat__Onat
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring take_nat:(nat->(list_nat->list_nat))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12aecf8>, <kernel.DependentProduct object at 0x12aebd8>) of role type named sy_c_List_Oupt
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring upt:(nat->(nat->list_nat))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12aed88>, <kernel.DependentProduct object at 0x12aec68>) of role type named sy_c_List_Oupto
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring upto:(int->(int->list_int))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12aed40>, <kernel.DependentProduct object at 0x12aecf8>) of role type named sy_c_List_Oupto__aux
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12ae7e8>, <kernel.DependentProduct object at 0x12aed88>) of role type named sy_c_List_Oupto__rel
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring upto_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12aee18>, <kernel.DependentProduct object at 0x12ae638>) of role type named sy_c_Nat_OSuc
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring suc:(nat->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12aec68>, <kernel.DependentProduct object at 0x12aeef0>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12ae8c0>, <kernel.DependentProduct object at 0x12aef80>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12ae7e8>, <kernel.DependentProduct object at 0x12aef38>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12aee60>, <kernel.DependentProduct object at 0x12ae950>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Option__Ooption_It__Num__Onum_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring case_nat_option_num:(option_num->((nat->option_num)->(nat->option_num)))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12aefc8>, <kernel.DependentProduct object at 0x12aeef0>) of role type named sy_c_Nat_Onat_Opred
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring pred:(nat->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12aee60>, <kernel.DependentProduct object at 0x12aee18>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12aeef0>, <kernel.DependentProduct object at 0x1713050>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12aee18>, <kernel.DependentProduct object at 0x1713128>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Extended____Nat__Oenat
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring semiri4216267220026989637d_enat:(nat->extended_enat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12aee18>, <kernel.DependentProduct object at 0x17131b8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x12aee60>, <kernel.DependentProduct object at 0x1713248>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713128>, <kernel.DependentProduct object at 0x17132d8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713050>, <kernel.DependentProduct object at 0x1713368>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x17131b8>, <kernel.DependentProduct object at 0x1713128>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Complex__Ocomplex
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring semiri2816024913162550771omplex:((complex->complex)->(nat->(complex->complex)))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713098>, <kernel.DependentProduct object at 0x1713440>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Int__Oint
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring semiri8420488043553186161ux_int:((int->int)->(nat->(int->int)))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x17131b8>, <kernel.DependentProduct object at 0x17134d0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Nat__Onat
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring semiri8422978514062236437ux_nat:((nat->nat)->(nat->(nat->nat)))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713440>, <kernel.DependentProduct object at 0x1713560>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Rat__Orat
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring semiri7787848453975740701ux_rat:((rat->rat)->(nat->(rat->rat)))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x17134d0>, <kernel.DependentProduct object at 0x17135f0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Real__Oreal
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring semiri7260567687927622513x_real:((real->real)->(nat->(real->real)))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713680>, <kernel.DependentProduct object at 0x1713758>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring size_size_list_o:(list_o->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x17134d0>, <kernel.DependentProduct object at 0x1713710>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring size_s3445333598471063425nteger:(list_Code_integer->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713758>, <kernel.DependentProduct object at 0x17137a0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713488>, <kernel.DependentProduct object at 0x1713830>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring size_size_list_int:(list_int->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713560>, <kernel.DependentProduct object at 0x1713878>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring size_size_list_nat:(list_nat->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713128>, <kernel.DependentProduct object at 0x17138c0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Num__Onum_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring size_size_list_num:(list_num->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713560>, <kernel.DependentProduct object at 0x1713908>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring size_s1515746228057227161od_o_o:(list_P4002435161011370285od_o_o->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x17138c0>, <kernel.DependentProduct object at 0x1713998>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring size_s2953683556165314199_o_int:(list_P3795440434834930179_o_int->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713908>, <kernel.DependentProduct object at 0x1713a28>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring size_s5443766701097040955_o_nat:(list_P6285523579766656935_o_nat->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713998>, <kernel.DependentProduct object at 0x1713ab8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring size_s4313452262239582901T_VEBT:(list_P7495141550334521929T_VEBT->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713a28>, <kernel.DependentProduct object at 0x1713b48>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring size_s6491369823275344609_nat_o:(list_P7333126701944960589_nat_o->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713ab8>, <kernel.DependentProduct object at 0x1713bd8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring size_s5460976970255530739at_nat:(list_P6011104703257516679at_nat->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713b48>, <kernel.DependentProduct object at 0x1713c68>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring size_s4762443039079500285T_VEBT:(list_P5647936690300460905T_VEBT->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713bd8>, <kernel.DependentProduct object at 0x1713cf8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring size_s9168528473962070013VEBT_o:(list_P3126845725202233233VEBT_o->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713c68>, <kernel.DependentProduct object at 0x1713d88>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring size_s3661962791536183091BT_int:(list_P4547456442757143711BT_int->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713cf8>, <kernel.DependentProduct object at 0x1713e18>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring size_s6152045936467909847BT_nat:(list_P7037539587688870467BT_nat->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713d88>, <kernel.DependentProduct object at 0x1713ea8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring size_s7466405169056248089T_VEBT:(list_P7413028617227757229T_VEBT->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713dd0>, <kernel.DependentProduct object at 0x1713f38>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring size_size_list_real:(list_real->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713d88>, <kernel.DependentProduct object at 0x1713f80>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x1713c68>, <kernel.DependentProduct object at 0x16f7050>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.62/0.79 Using role type
% 0.62/0.80 Declaring size_size_num:(num->nat)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x1713ea8>, <kernel.DependentProduct object at 0x16f7098>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Nat__Onat_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring size_size_option_nat:(option_nat->nat)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x1713f80>, <kernel.DependentProduct object at 0x16f70e0>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring size_size_option_num:(option_num->nat)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x1713ea8>, <kernel.DependentProduct object at 0x16f7128>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x1713c68>, <kernel.DependentProduct object at 0x16f71b8>) of role type named sy_c_Nat_Osize__class_Osize_001t__String__Ochar
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring size_size_char:(char->nat)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x1713d88>, <kernel.DependentProduct object at 0x16f7200>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x1713d88>, <kernel.DependentProduct object at 0x16f7290>) of role type named sy_c_Nat__Bijection_Olist__encode
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring nat_list_encode:(list_nat->nat)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x1713c68>, <kernel.DependentProduct object at 0x16f7098>) of role type named sy_c_Nat__Bijection_Olist__encode__rel
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring nat_list_encode_rel:(list_nat->(list_nat->Prop))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x1713c68>, <kernel.DependentProduct object at 0x16f7170>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7200>, <kernel.DependentProduct object at 0x16f70e0>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7248>, <kernel.DependentProduct object at 0x16f73f8>) of role type named sy_c_Nat__Bijection_Oprod__encode
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring nat_prod_encode:(product_prod_nat_nat->nat)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7290>, <kernel.DependentProduct object at 0x16f7440>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring nat_set_decode:(nat->set_nat)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f71b8>, <kernel.DependentProduct object at 0x16f7488>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring nat_set_encode:(set_nat->nat)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7128>, <kernel.DependentProduct object at 0x16f74d0>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring nat_triangle:(nat->nat)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f73f8>, <kernel.DependentProduct object at 0x16f7170>) of role type named sy_c_NthRoot_Oroot
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring root:(nat->(real->real))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7290>, <kernel.DependentProduct object at 0x16f7518>) of role type named sy_c_NthRoot_Osqrt
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring sqrt:(real->real)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7440>, <kernel.DependentProduct object at 0x16f74d0>) of role type named sy_c_Num_OBitM
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring bitM:(num->num)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7128>, <kernel.DependentProduct object at 0x16f75a8>) of role type named sy_c_Num_Oinc
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring inc:(num->num)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7440>, <kernel.DependentProduct object at 0x16f75f0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f75a8>, <kernel.DependentProduct object at 0x16f7680>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7170>, <kernel.DependentProduct object at 0x16f7710>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring neg_numeral_dbl_int:(int->int)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7290>, <kernel.DependentProduct object at 0x16f7758>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7638>, <kernel.DependentProduct object at 0x16f77a0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring neg_numeral_dbl_real:(real->real)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7290>, <kernel.DependentProduct object at 0x16f77e8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f77a0>, <kernel.DependentProduct object at 0x16f7878>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f77e8>, <kernel.DependentProduct object at 0x16f7908>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7878>, <kernel.DependentProduct object at 0x16f7998>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7908>, <kernel.DependentProduct object at 0x16f7a28>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7998>, <kernel.DependentProduct object at 0x16f7ab8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Code____Numeral__Ointeger
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring neg_nu5831290666863070958nteger:(code_integer->code_integer)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7a28>, <kernel.DependentProduct object at 0x16f7b48>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Complex__Ocomplex
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring neg_nu8557863876264182079omplex:(complex->complex)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7ab8>, <kernel.DependentProduct object at 0x16f7bd8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Int__Oint
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring neg_nu5851722552734809277nc_int:(int->int)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7b48>, <kernel.DependentProduct object at 0x16f7c68>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Rat__Orat
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring neg_nu5219082963157363817nc_rat:(rat->rat)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7bd8>, <kernel.DependentProduct object at 0x16f7cf8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Real__Oreal
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring neg_nu8295874005876285629c_real:(real->real)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7680>, <kernel.DependentProduct object at 0x16f7c68>) of role type named sy_c_Num_Oneg__numeral__class_Osub_001t__Int__Oint
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring neg_numeral_sub_int:(num->(num->int))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7d88>, <kernel.DependentProduct object at 0x16f7dd0>) of role type named sy_c_Num_Onum_OBit0
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring bit0:(num->num)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7cb0>, <kernel.DependentProduct object at 0x16f7c20>) of role type named sy_c_Num_Onum_OBit1
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring bit1:(num->num)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x16f7cf8>, <kernel.Constant object at 0x16f7c20>) of role type named sy_c_Num_Onum_OOne
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring one:num
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16f7dd0>, <kernel.DependentProduct object at 0x16f7f38>) of role type named sy_c_Num_Onum_Ocase__num_001t__Option__Ooption_It__Num__Onum_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring case_num_option_num:(option_num->((num->option_num)->((num->option_num)->(num->option_num))))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16f7ef0>, <kernel.DependentProduct object at 0x16f7ea8>) of role type named sy_c_Num_Onum_Osize__num
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring size_num:(num->nat)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16f7bd8>, <kernel.DependentProduct object at 0x16f7cb0>) of role type named sy_c_Num_Onum__of__nat
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring num_of_nat:(nat->num)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16f7ef0>, <kernel.DependentProduct object at 0x16f7680>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16f7cb0>, <kernel.DependentProduct object at 0x16fb098>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring numera6690914467698888265omplex:(num->complex)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16f7680>, <kernel.DependentProduct object at 0x16fb0e0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16f7c20>, <kernel.DependentProduct object at 0x16fb170>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring numeral_numeral_int:(num->int)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16f7dd0>, <kernel.DependentProduct object at 0x16fb1b8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring numeral_numeral_nat:(num->nat)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16f7680>, <kernel.DependentProduct object at 0x16fb200>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring numeral_numeral_rat:(num->rat)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16f7dd0>, <kernel.DependentProduct object at 0x16fb248>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring numeral_numeral_real:(num->real)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16f7c20>, <kernel.DependentProduct object at 0x16fb200>) of role type named sy_c_Num_Opow
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring pow:(num->(num->num))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16f7c20>, <kernel.DependentProduct object at 0x16fb2d8>) of role type named sy_c_Num_Opred__numeral
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring pred_numeral:(num->nat)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb098>, <kernel.DependentProduct object at 0x16fb0e0>) of role type named sy_c_Num_Osqr
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring sqr:(num->num)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb248>, <kernel.Constant object at 0x16fb0e0>) of role type named sy_c_Option_Ooption_ONone_001t__Nat__Onat
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring none_nat:option_nat
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb2d8>, <kernel.Constant object at 0x16fb0e0>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring none_num:option_num
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb248>, <kernel.Constant object at 0x16fb170>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb368>, <kernel.DependentProduct object at 0x16fb488>) of role type named sy_c_Option_Ooption_OSome_001t__Nat__Onat
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring some_nat:(nat->option_nat)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb290>, <kernel.DependentProduct object at 0x16fb4d0>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring some_num:(num->option_num)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb368>, <kernel.DependentProduct object at 0x16fb290>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb4d0>, <kernel.DependentProduct object at 0x16fb5a8>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb5f0>, <kernel.DependentProduct object at 0x16fb6c8>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Int__Oint_001t__Num__Onum
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring case_option_int_num:(int->((num->int)->(option_num->int)))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb680>, <kernel.DependentProduct object at 0x16fb710>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb5f0>, <kernel.DependentProduct object at 0x16fb368>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb7a0>, <kernel.DependentProduct object at 0x16fb518>) of role type named sy_c_Option_Ooption_Omap__option_001t__Num__Onum_001t__Num__Onum
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring map_option_num_num:((num->num)->(option_num->option_num))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb710>, <kernel.DependentProduct object at 0x16fb758>) of role type named sy_c_Option_Ooption_Osize__option_001t__Nat__Onat
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring size_option_nat:((nat->nat)->(option_nat->nat))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb5f0>, <kernel.DependentProduct object at 0x16fb7e8>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb710>, <kernel.DependentProduct object at 0x16fb290>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb7a0>, <kernel.DependentProduct object at 0x16fb758>) of role type named sy_c_Option_Ooption_Othe_001t__Nat__Onat
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring the_nat:(option_nat->nat)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb0e0>, <kernel.DependentProduct object at 0x16fb908>) of role type named sy_c_Option_Ooption_Othe_001t__Num__Onum
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring the_num:(option_num->num)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb7a0>, <kernel.DependentProduct object at 0x16fb950>) of role type named sy_c_Option_Ooption_Othe_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring the_Pr8591224930841456533at_nat:(option4927543243414619207at_nat->product_prod_nat_nat)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb758>, <kernel.DependentProduct object at 0x16fb908>) of role type named sy_c_Order__Relation_OunderS_001t__Nat__Onat
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring order_underS_nat:(set_Pr1261947904930325089at_nat->(nat->set_nat))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb7a0>, <kernel.DependentProduct object at 0x16fba70>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Code____Numeral__Ointeger_M_062_I_Eo_M_Eo_J_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring bot_bo4731626569425807221er_o_o:(code_integer->(Prop->Prop))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb9e0>, <kernel.DependentProduct object at 0x16fb908>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring bot_bot_int_int_o:(int->(int->Prop))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fba28>, <kernel.DependentProduct object at 0x16fb7a0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring bot_bot_nat_nat_o:(nat->(nat->Prop))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb7e8>, <kernel.DependentProduct object at 0x16fb9e0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_062_It__Num__Onum_M_Eo_J_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring bot_bot_nat_num_o:(nat->(num->Prop))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb758>, <kernel.DependentProduct object at 0x16fba28>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring bot_bot_num_num_o:(num->(num->Prop))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb7e8>, <kernel.Constant object at 0x16fb7a0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Extended____Nat__Oenat
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring bot_bo4199563552545308370d_enat:extended_enat
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb9e0>, <kernel.Constant object at 0x16fb7a0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring bot_bot_nat:nat
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fbbd8>, <kernel.Constant object at 0x16fb7a0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring bot_bot_set_complex:set_complex
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fbab8>, <kernel.Constant object at 0x16fb7a0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring bot_bot_set_int:set_int
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fbc20>, <kernel.Constant object at 0x16fb7a0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring bot_bot_set_nat:set_nat
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fbc68>, <kernel.Constant object at 0x16fb7a0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Num__Onum_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring bot_bot_set_num:set_num
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fbc20>, <kernel.Constant object at 0x16fbcb0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring bot_bo5379713665208646970eger_o:set_Pr448751882837621926eger_o
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fb7a0>, <kernel.Constant object at 0x16fbd40>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring bot_bo1796632182523588997nt_int:set_Pr958786334691620121nt_int
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fbcb0>, <kernel.Constant object at 0x16fbdd0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring bot_bo2099793752762293965at_nat:set_Pr1261947904930325089at_nat
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fbd40>, <kernel.Constant object at 0x16fbe60>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring bot_bo7038385379056416535at_num:set_Pr6200539531224447659at_num
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fbdd0>, <kernel.Constant object at 0x16fbef0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring bot_bo9056780473022590049um_num:set_Pr8218934625190621173um_num
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fbf80>, <kernel.Constant object at 0x16fbef0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Rat__Orat_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring bot_bot_set_rat:set_rat
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x16fbfc8>, <kernel.Constant object at 0x16fbef0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring bot_bot_set_real:set_real
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x16fbdd0>, <kernel.Constant object at 0x16fbf38>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring bot_bot_set_set_nat:set_set_nat
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x16fbf38>, <kernel.Constant object at 0x16fe098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring bot_bo8194388402131092736T_VEBT:set_VEBT_VEBT
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x16fbdd0>, <kernel.DependentProduct object at 0x16fe290>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring ord_less_complex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x16fbf38>, <kernel.DependentProduct object at 0x16fe2d8>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Int__Oint_M_Eo_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring ord_less_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x16fbdd0>, <kernel.DependentProduct object at 0x16fe320>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Nat__Onat_M_Eo_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring ord_less_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x16fe098>, <kernel.DependentProduct object at 0x16fe368>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring ord_le549003669493604880_nat_o:((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->Prop))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x16fe248>, <kernel.DependentProduct object at 0x16fe3f8>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Real__Oreal_M_Eo_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring ord_less_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x16fe098>, <kernel.DependentProduct object at 0x16fe248>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x16fe3f8>, <kernel.DependentProduct object at 0x16fe098>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x16fe440>, <kernel.DependentProduct object at 0x16fe248>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring ord_less_int:(int->(int->Prop))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x16fe4d0>, <kernel.DependentProduct object at 0x16fe3f8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x16fe368>, <kernel.DependentProduct object at 0x16fe440>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring ord_less_num:(num->(num->Prop))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x16fe1b8>, <kernel.DependentProduct object at 0x16fe4d0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x16fe098>, <kernel.DependentProduct object at 0x16fe368>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring ord_less_real:(real->(real->Prop))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x16fe1b8>, <kernel.DependentProduct object at 0x16fe098>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring ord_le1307284697595431911nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x16fe3f8>, <kernel.DependentProduct object at 0x16fe368>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe6c8>, <kernel.DependentProduct object at 0x16fe1b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe4d0>, <kernel.DependentProduct object at 0x16fe3f8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe248>, <kernel.DependentProduct object at 0x16fe6c8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe4d0>, <kernel.DependentProduct object at 0x16fe1b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_le7866589430770878221at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe830>, <kernel.DependentProduct object at 0x16fe6c8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe878>, <kernel.DependentProduct object at 0x16fe4d0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe368>, <kernel.DependentProduct object at 0x16fe830>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_less_set_set_nat:(set_set_nat->(set_set_nat->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe878>, <kernel.DependentProduct object at 0x16fe368>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_le3480810397992357184T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe830>, <kernel.DependentProduct object at 0x16fea70>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Code____Numeral__Ointeger_M_062_I_Eo_M_Eo_J_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_le2162486998276636481er_o_o:((code_integer->(Prop->Prop))->((code_integer->(Prop->Prop))->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe368>, <kernel.DependentProduct object at 0x16fe1b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_le6741204236512500942_int_o:((int->(int->Prop))->((int->(int->Prop))->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fea70>, <kernel.DependentProduct object at 0x16fe9e0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_le2646555220125990790_nat_o:((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe1b8>, <kernel.DependentProduct object at 0x16fe3f8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_062_It__Num__Onum_M_Eo_J_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_le3404735783095501756_num_o:((nat->(num->Prop))->((nat->(num->Prop))->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe9e0>, <kernel.DependentProduct object at 0x16fe4d0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_le6124364862034508274_num_o:((num->(num->Prop))->((num->(num->Prop))->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe3f8>, <kernel.DependentProduct object at 0x16fe9e0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe4d0>, <kernel.DependentProduct object at 0x16fe3f8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe9e0>, <kernel.DependentProduct object at 0x16fe4d0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_le2510731241096832064er_nat:(filter_nat->(filter_nat->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fedd0>, <kernel.DependentProduct object at 0x16fe3f8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fee60>, <kernel.DependentProduct object at 0x16fe9e0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16feb48>, <kernel.DependentProduct object at 0x16fedd0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fecf8>, <kernel.DependentProduct object at 0x16fee60>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe4d0>, <kernel.DependentProduct object at 0x16feb48>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe3f8>, <kernel.DependentProduct object at 0x16fecf8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_Eo_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_less_eq_set_o:(set_o->(set_o->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe4d0>, <kernel.DependentProduct object at 0x1700098>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fedd0>, <kernel.DependentProduct object at 0x1700050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe9e0>, <kernel.DependentProduct object at 0x1700170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe4d0>, <kernel.DependentProduct object at 0x17001b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Num__Onum_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_less_eq_set_num:(set_num->(set_num->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x16fe9e0>, <kernel.DependentProduct object at 0x17001b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_le8980329558974975238eger_o:(set_Pr448751882837621926eger_o->(set_Pr448751882837621926eger_o->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x1700128>, <kernel.DependentProduct object at 0x17001b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_le2843351958646193337nt_int:(set_Pr958786334691620121nt_int->(set_Pr958786334691620121nt_int->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x1700098>, <kernel.DependentProduct object at 0x17001b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_le3146513528884898305at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x1700290>, <kernel.DependentProduct object at 0x17001b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_le8085105155179020875at_num:(set_Pr6200539531224447659at_num->(set_Pr6200539531224447659at_num->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x17000e0>, <kernel.DependentProduct object at 0x17001b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_le880128212290418581um_num:(set_Pr8218934625190621173um_num->(set_Pr8218934625190621173um_num->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x1700050>, <kernel.DependentProduct object at 0x1700290>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Rat__Orat_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_less_eq_set_rat:(set_rat->(set_rat->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x1700488>, <kernel.DependentProduct object at 0x17000e0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x1700050>, <kernel.DependentProduct object at 0x1700488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_le6893508408891458716et_nat:(set_set_nat->(set_set_nat->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x17000e0>, <kernel.DependentProduct object at 0x1700050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x17005a8>, <kernel.DependentProduct object at 0x1700488>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Code____Numeral__Ointeger
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_max_Code_integer:(code_integer->(code_integer->code_integer))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x17000e0>, <kernel.DependentProduct object at 0x17005a8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Extended____Nat__Oenat
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_ma741700101516333627d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x17006c8>, <kernel.DependentProduct object at 0x1700488>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_max_int:(int->(int->int))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x1700680>, <kernel.DependentProduct object at 0x17000e0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_max_nat:(nat->(nat->nat))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x17007a0>, <kernel.DependentProduct object at 0x17006c8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Num__Onum
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_max_num:(num->(num->num))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x17005f0>, <kernel.DependentProduct object at 0x1700680>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Rat__Orat
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_max_rat:(rat->(rat->rat))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x1700638>, <kernel.DependentProduct object at 0x17007a0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Real__Oreal
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_max_real:(real->(real->real))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x17005a8>, <kernel.DependentProduct object at 0x17005f0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Int__Oint_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ord_max_set_int:(set_int->(set_int->set_int))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x1700488>, <kernel.DependentProduct object at 0x1700638>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Nat__Onat_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring ord_max_set_nat:(set_nat->(set_nat->set_nat))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x17000e0>, <kernel.DependentProduct object at 0x17005a8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Real__Oreal_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring ord_max_set_real:(set_real->(set_real->set_real))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1700488>, <kernel.DependentProduct object at 0x17000e0>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Extended____Nat__Oenat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring ord_mi8085742599997312461d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1700680>, <kernel.DependentProduct object at 0x17005a8>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Nat__Onat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring ord_min_nat:(nat->(nat->nat))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x17006c8>, <kernel.DependentProduct object at 0x1700a70>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Nat__Onat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring order_Greatest_nat:((nat->Prop)->nat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1700758>, <kernel.DependentProduct object at 0x1700488>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x17006c8>, <kernel.DependentProduct object at 0x1700680>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Nat__Onat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring order_5726023648592871131at_nat:((nat->nat)->Prop)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1700488>, <kernel.DependentProduct object at 0x1700b48>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Real__Oreal_001t__Real__Oreal
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring order_7092887310737990675l_real:((real->real)->Prop)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x17000e0>, <kernel.Constant object at 0x1700b48>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_Eo_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring top_top_set_o:set_o
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1700638>, <kernel.Constant object at 0x1700b48>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring top_top_set_nat:set_nat
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x17000e0>, <kernel.Constant object at 0x1700ab8>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Ounit_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring top_to1996260823553986621t_unit:set_Product_unit
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1700bd8>, <kernel.Constant object at 0x1700ab8>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring top_top_set_real:set_real
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1700c68>, <kernel.Constant object at 0x1700ab8>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring top_top_set_char:set_char
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1700bd8>, <kernel.DependentProduct object at 0x1700c68>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1700dd0>, <kernel.DependentProduct object at 0x1700ab8>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring power_power_complex:(complex->(nat->complex))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1700cb0>, <kernel.DependentProduct object at 0x1700bd8>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring power_power_int:(int->(nat->int))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1700ea8>, <kernel.DependentProduct object at 0x1700dd0>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring power_power_nat:(nat->(nat->nat))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1700cf8>, <kernel.DependentProduct object at 0x1700cb0>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring power_power_rat:(rat->(nat->rat))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1700d40>, <kernel.DependentProduct object at 0x1700ea8>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring power_power_real:(real->(nat->real))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1700cf8>, <kernel.DependentProduct object at 0x1700dd0>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring produc4035269172776083154on_nat:((nat->(nat->Prop))->(produc4953844613479565601on_nat->produc2233624965454879586on_nat))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1700ea8>, <kernel.DependentProduct object at 0x1703128>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring produc3209952032786966637at_nat:((nat->(nat->nat))->(produc7248412053542808358at_nat->produc4471711990508489141at_nat))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1700dd0>, <kernel.DependentProduct object at 0x1703128>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring produc8929957630744042906on_nat:((nat->(nat->nat))->(produc4953844613479565601on_nat->produc8306885398267862888on_nat))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1700dd0>, <kernel.DependentProduct object at 0x1703128>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Num__Onum_Mt__Num__Onum_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring produc851828971589881931at_num:((nat->(num->num))->(produc2963631642982155120at_num->produc3368934014287244435at_num))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1700cb0>, <kernel.DependentProduct object at 0x1703128>) of role type named sy_c_Product__Type_OPair_001_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring produc3576312749637752826on_num:((num->(num->Prop))->(produc3447558737645232053on_num->produc7036089656553540234on_num))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x17030e0>, <kernel.DependentProduct object at 0x1703128>) of role type named sy_c_Product__Type_OPair_001_062_It__Num__Onum_M_062_It__Num__Onum_Mt__Num__Onum_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring produc5778274026573060048on_num:((num->(num->num))->(produc3447558737645232053on_num->produc1193250871479095198on_num))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1703320>, <kernel.DependentProduct object at 0x1703128>) of role type named sy_c_Product__Type_OPair_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring produc3994169339658061776at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(produc6121120109295599847at_nat->produc5491161045314408544at_nat))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x1703050>, <kernel.DependentProduct object at 0x1703128>) of role type named sy_c_Product__Type_OPair_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc2899441246263362727at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(produc6121120109295599847at_nat->produc5542196010084753463at_nat))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1703440>, <kernel.DependentProduct object at 0x17030e0>) of role type named sy_c_Product__Type_OPair_001_Eo_001_Eo
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring product_Pair_o_o:(Prop->(Prop->product_prod_o_o))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x17033f8>, <kernel.DependentProduct object at 0x17030e0>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Int__Oint
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring product_Pair_o_int:(Prop->(int->product_prod_o_int))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1703050>, <kernel.DependentProduct object at 0x17030e0>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Nat__Onat
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring product_Pair_o_nat:(Prop->(nat->product_prod_o_nat))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x17033f8>, <kernel.DependentProduct object at 0x1703128>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc2982872950893828659T_VEBT:(Prop->(vEBT_VEBT->produc2504756804600209347T_VEBT))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x17030e0>, <kernel.DependentProduct object at 0x1703638>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1703128>, <kernel.DependentProduct object at 0x17030e0>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x17036c8>, <kernel.DependentProduct object at 0x1703638>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1703680>, <kernel.DependentProduct object at 0x1703128>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1703758>, <kernel.DependentProduct object at 0x17036c8>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Num__Onum
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring product_Pair_nat_num:(nat->(num->product_prod_nat_num))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1703680>, <kernel.DependentProduct object at 0x1703758>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc487386426758144856at_nat:(nat->(product_prod_nat_nat->produc7248412053542808358at_nat))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x17036c8>, <kernel.DependentProduct object at 0x1703680>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc1195630363706982562at_num:(nat->(product_prod_nat_num->produc2963631642982155120at_num))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x17038c0>, <kernel.DependentProduct object at 0x1703758>) of role type named sy_c_Product__Type_OPair_001t__Num__Onum_001t__Num__Onum
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring product_Pair_num_num:(num->(num->product_prod_num_num))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x17036c8>, <kernel.DependentProduct object at 0x17038c0>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Nat__Onat_J_001t__Option__Ooption_It__Nat__Onat_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc5098337634421038937on_nat:(option_nat->(option_nat->produc4953844613479565601on_nat))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1703758>, <kernel.DependentProduct object at 0x17036c8>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Num__Onum_J_001t__Option__Ooption_It__Num__Onum_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc8585076106096196333on_num:(option_num->(option_num->produc3447558737645232053on_num))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x17038c0>, <kernel.DependentProduct object at 0x17030e0>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc488173922507101015at_nat:(option4927543243414619207at_nat->(option4927543243414619207at_nat->produc6121120109295599847at_nat))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x17036c8>, <kernel.DependentProduct object at 0x1703b48>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x17030e0>, <kernel.DependentProduct object at 0x17036c8>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc736041933913180425BT_int:(vEBT_VEBT->(int->produc4894624898956917775BT_int))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1703b48>, <kernel.DependentProduct object at 0x17030e0>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x17036c8>, <kernel.DependentProduct object at 0x1703b48>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x17030e0>, <kernel.DependentProduct object at 0x1703dd0>) of role type named sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Nat__Onat
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc457027306803732586at_nat:(set_nat->((nat->set_nat)->set_Pr1261947904930325089at_nat))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1703b48>, <kernel.DependentProduct object at 0x1703bd8>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1703dd0>, <kernel.DependentProduct object at 0x1703b90>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001_Eo
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc7828578312038201481er_o_o:((code_integer->(Prop->Prop))->(produc6271795597528267376eger_o->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1703bd8>, <kernel.DependentProduct object at 0x1703e60>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc1043322548047392435omplex:((code_integer->(Prop->set_complex))->(produc6271795597528267376eger_o->set_complex))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1703b90>, <kernel.DependentProduct object at 0x1703c68>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Int__Oint_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc1253318751659547953et_int:((code_integer->(Prop->set_int))->(produc6271795597528267376eger_o->set_int))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1703e60>, <kernel.DependentProduct object at 0x1703b48>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Nat__Onat_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc5431169771168744661et_nat:((code_integer->(Prop->set_nat))->(produc6271795597528267376eger_o->set_nat))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1703c68>, <kernel.DependentProduct object at 0x1703e60>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Real__Oreal_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc242741666403216561t_real:((code_integer->(Prop->set_real))->(produc6271795597528267376eger_o->set_real))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1703c68>, <kernel.DependentProduct object at 0x1715200>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1703c68>, <kernel.DependentProduct object at 0x1715290>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1703e18>, <kernel.DependentProduct object at 0x1715320>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc7336495610019696514er_num:((code_integer->(code_integer->num))->(produc8923325533196201883nteger->num))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1715200>, <kernel.DependentProduct object at 0x17150e0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x17153b0>, <kernel.DependentProduct object at 0x17150e0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1715098>, <kernel.DependentProduct object at 0x17152d8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1715440>, <kernel.DependentProduct object at 0x17154d0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc8211389475949308722nt_int:((int->(int->int))->(product_prod_int_int->int))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1715098>, <kernel.DependentProduct object at 0x1715488>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x17154d0>, <kernel.DependentProduct object at 0x1715638>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring produc8739625826339149834_nat_o:((nat->(nat->(product_prod_nat_nat->Prop)))->(product_prod_nat_nat->(product_prod_nat_nat->Prop)))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x1715488>, <kernel.DependentProduct object at 0x17156c8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring produc27273713700761075at_nat:((nat->(nat->(product_prod_nat_nat->product_prod_nat_nat)))->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x1715638>, <kernel.DependentProduct object at 0x17152d8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x17156c8>, <kernel.DependentProduct object at 0x1715368>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring produc1917071388513777916omplex:((nat->(nat->complex))->(product_prod_nat_nat->complex))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x17152d8>, <kernel.DependentProduct object at 0x1715758>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring produc6840382203811409530at_int:((nat->(nat->int))->(product_prod_nat_nat->int))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x1715368>, <kernel.DependentProduct object at 0x17157e8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring produc6842872674320459806at_nat:((nat->(nat->nat))->(product_prod_nat_nat->nat))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x1715758>, <kernel.DependentProduct object at 0x1715878>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x17157e8>, <kernel.DependentProduct object at 0x1715908>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Rat__Orat
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring produc6207742614233964070at_rat:((nat->(nat->rat))->(product_prod_nat_nat->rat))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x1715878>, <kernel.DependentProduct object at 0x1715998>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Real__Oreal
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring produc1703576794950452218t_real:((nat->(nat->real))->(product_prod_nat_nat->real))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x1715908>, <kernel.DependentProduct object at 0x1715a70>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001_Eo
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring produc4927758841916487424_num_o:((nat->(num->Prop))->(product_prod_nat_num->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x1715998>, <kernel.DependentProduct object at 0x1715b90>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Option__Ooption_It__Num__Onum_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring produc478579273971653890on_num:((nat->(num->option_num))->(product_prod_nat_num->option_num))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x1715a70>, <kernel.DependentProduct object at 0x1715b48>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring produc6231982587499038204omplex:((nat->(num->set_complex))->(product_prod_nat_num->set_complex))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x1715b90>, <kernel.DependentProduct object at 0x1715bd8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Set__Oset_It__Real__Oreal_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring produc1435849484188172666t_real:((nat->(num->set_real))->(product_prod_nat_num->set_real))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x1715b48>, <kernel.DependentProduct object at 0x1715cb0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001_Eo
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring produc5703948589228662326_num_o:((num->(num->Prop))->(product_prod_num_num->Prop))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1715bd8>, <kernel.DependentProduct object at 0x1715dd0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring produc2866383454006189126omplex:((num->(num->set_complex))->(product_prod_num_num->set_complex))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1715cb0>, <kernel.DependentProduct object at 0x1715d88>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Int__Oint_J
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring produc6406642877701697732et_int:((num->(num->set_int))->(product_prod_num_num->set_int))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1715dd0>, <kernel.DependentProduct object at 0x1715e18>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Nat__Onat_J
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring produc1361121860356118632et_nat:((num->(num->set_nat))->(product_prod_num_num->set_nat))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1715d88>, <kernel.DependentProduct object at 0x1715ea8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Real__Oreal_J
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring produc8296048397933160132t_real:((num->(num->set_real))->(product_prod_num_num->set_real))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1715e18>, <kernel.DependentProduct object at 0x1717050>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring produc8508995932063986495nteger:(produc8923325533196201883nteger->code_integer)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1715cf8>, <kernel.DependentProduct object at 0x17170e0>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1715f38>, <kernel.DependentProduct object at 0x1717128>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1715ea8>, <kernel.DependentProduct object at 0x1717170>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1715cf8>, <kernel.DependentProduct object at 0x17171b8>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1715f38>, <kernel.DependentProduct object at 0x1717200>) of role type named sy_c_Rat_OAbs__Rat
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring abs_Rat:(product_prod_int_int->rat)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1715cf8>, <kernel.DependentProduct object at 0x17170e0>) of role type named sy_c_Rat_OFract
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring fract:(int->(int->rat))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1715ea8>, <kernel.DependentProduct object at 0x1717290>) of role type named sy_c_Rat_OFrct
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring frct:(product_prod_int_int->rat)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1715ea8>, <kernel.DependentProduct object at 0x1717200>) of role type named sy_c_Rat_ORep__Rat
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring rep_Rat:(rat->product_prod_int_int)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1717128>, <kernel.Constant object at 0x17170e0>) of role type named sy_c_Rat_Ofield__char__0__class_ORats_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring field_5140801741446780682s_real:set_real
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1717200>, <kernel.DependentProduct object at 0x17173b0>) of role type named sy_c_Rat_Ofield__char__0__class_Oof__rat_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring field_7254667332652039916t_real:(rat->real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1717290>, <kernel.DependentProduct object at 0x1717440>) of role type named sy_c_Rat_Onormalize
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1717098>, <kernel.DependentProduct object at 0x1717200>) of role type named sy_c_Rat_Opcr__rat
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring pcr_rat:(product_prod_int_int->(rat->Prop))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x17173f8>, <kernel.DependentProduct object at 0x17174d0>) of role type named sy_c_Rat_Opositive
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring positive:(rat->Prop)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1717290>, <kernel.DependentProduct object at 0x1717518>) of role type named sy_c_Rat_Oquotient__of
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring quotient_of:(rat->product_prod_int_int)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1717440>, <kernel.DependentProduct object at 0x17173f8>) of role type named sy_c_Rat_Oratrel
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring ratrel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1717488>, <kernel.DependentProduct object at 0x17175a8>) of role type named sy_c_Real_Ocauchy
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring cauchy:((nat->rat)->Prop)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x17174d0>, <kernel.DependentProduct object at 0x1717290>) of role type named sy_c_Real_Ovanishes
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring vanishes:((nat->rat)->Prop)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1717488>, <kernel.Constant object at 0x1717560>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Complex__Ocomplex
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring real_V2521375963428798218omplex:set_complex
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1717290>, <kernel.DependentProduct object at 0x1717680>) of role type named sy_c_Real__Vector__Spaces_Obounded__linear_001t__Real__Oreal_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring real_V5970128139526366754l_real:((real->real)->Prop)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1717560>, <kernel.DependentProduct object at 0x1717758>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1717680>, <kernel.DependentProduct object at 0x17177e8>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring real_V7735802525324610683m_real:(real->real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1717758>, <kernel.DependentProduct object at 0x1717878>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x17177e8>, <kernel.DependentProduct object at 0x1717908>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring real_V1803761363581548252l_real:(real->real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1717878>, <kernel.DependentProduct object at 0x17177e8>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Complex__Ocomplex
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring real_V2046097035970521341omplex:(real->(complex->complex))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1717908>, <kernel.DependentProduct object at 0x1717878>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring real_V1485227260804924795R_real:(real->(real->real))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x17175f0>, <kernel.DependentProduct object at 0x1717998>) of role type named sy_c_Relation_OField_001t__Nat__Onat
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring field_nat:(set_Pr1261947904930325089at_nat->set_nat)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1717908>, <kernel.DependentProduct object at 0x17175f0>) of role type named sy_c_Rings_Oalgebraic__semidom__class_Ocoprime_001t__Int__Oint
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring algebr932160517623751201me_int:(int->(int->Prop))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1717998>, <kernel.DependentProduct object at 0x1717908>) of role type named sy_c_Rings_Oalgebraic__semidom__class_Ocoprime_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring algebr934650988132801477me_nat:(nat->(nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x17175f0>, <kernel.DependentProduct object at 0x1717998>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1717908>, <kernel.DependentProduct object at 0x17175f0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1717b48>, <kernel.DependentProduct object at 0x1717998>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring divide_divide_int:(int->(int->int))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1717c20>, <kernel.DependentProduct object at 0x1717908>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1717d88>, <kernel.DependentProduct object at 0x1717b48>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1717bd8>, <kernel.DependentProduct object at 0x1717c20>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring divide_divide_real:(real->(real->real))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1717cb0>, <kernel.DependentProduct object at 0x1717d88>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1717d40>, <kernel.DependentProduct object at 0x1717bd8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1717908>, <kernel.DependentProduct object at 0x1717cb0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1717b48>, <kernel.DependentProduct object at 0x1717d40>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1717c20>, <kernel.DependentProduct object at 0x1717908>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1717d88>, <kernel.DependentProduct object at 0x1717b48>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1717c20>, <kernel.DependentProduct object at 0x1717d88>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1717d40>, <kernel.DependentProduct object at 0x1717908>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring modulo_modulo_int:(int->(int->int))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1717d88>, <kernel.DependentProduct object at 0x1717bd8>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1717d88>, <kernel.DependentProduct object at 0x171a1b8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1717d88>, <kernel.DependentProduct object at 0x171a128>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1717d88>, <kernel.DependentProduct object at 0x171a248>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x171a200>, <kernel.DependentProduct object at 0x171a2d8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x171a248>, <kernel.DependentProduct object at 0x171a368>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x171a2d8>, <kernel.DependentProduct object at 0x171a3f8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1717c20>, <kernel.DependentProduct object at 0x171a368>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring suminf_complex:((nat->complex)->complex)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x171a3b0>, <kernel.DependentProduct object at 0x171a2d8>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring suminf_int:((nat->int)->int)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x171a440>, <kernel.DependentProduct object at 0x171a368>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring suminf_nat:((nat->nat)->nat)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x171a518>, <kernel.DependentProduct object at 0x171a290>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring suminf_real:((nat->real)->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x171a5a8>, <kernel.DependentProduct object at 0x171a368>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring summable_complex:((nat->complex)->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x171a560>, <kernel.DependentProduct object at 0x171a3b0>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring summable_int:((nat->int)->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x171a488>, <kernel.DependentProduct object at 0x171a518>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring summable_nat:((nat->nat)->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x171a5f0>, <kernel.DependentProduct object at 0x171a5a8>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring summable_real:((nat->real)->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x171a638>, <kernel.DependentProduct object at 0x171a680>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x171a248>, <kernel.DependentProduct object at 0x171a710>) of role type named sy_c_Series_Osums_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring sums_int:((nat->int)->(int->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x171a5a8>, <kernel.DependentProduct object at 0x171a518>) of role type named sy_c_Series_Osums_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring sums_nat:((nat->nat)->(nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x171a6c8>, <kernel.DependentProduct object at 0x171a7a0>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring sums_real:((nat->real)->(real->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x171a518>, <kernel.DependentProduct object at 0x171a878>) of role type named sy_c_Set_OCollect_001t__Code____Numeral__Ointeger
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring collect_Code_integer:((code_integer->Prop)->set_Code_integer)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x171a7a0>, <kernel.DependentProduct object at 0x171a248>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171a710>, <kernel.DependentProduct object at 0x171a908>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collect_int:((int->Prop)->set_int)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171a5f0>, <kernel.DependentProduct object at 0x171a7a0>) of role type named sy_c_Set_OCollect_001t__List__Olist_I_Eo_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collect_list_o:((list_o->Prop)->set_list_o)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171a908>, <kernel.DependentProduct object at 0x171a950>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Complex__Ocomplex_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collect_list_complex:((list_complex->Prop)->set_list_complex)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171a680>, <kernel.DependentProduct object at 0x171a998>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Int__Oint_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collect_list_int:((list_int->Prop)->set_list_int)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171a5a8>, <kernel.DependentProduct object at 0x171a9e0>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171a680>, <kernel.DependentProduct object at 0x171aa28>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collec5608196760682091941T_VEBT:((list_VEBT_VEBT->Prop)->set_list_VEBT_VEBT)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171a638>, <kernel.DependentProduct object at 0x171ab00>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171a518>, <kernel.DependentProduct object at 0x171ab48>) of role type named sy_c_Set_OCollect_001t__Num__Onum
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collect_num:((num->Prop)->set_num)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171a9e0>, <kernel.DependentProduct object at 0x171a638>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171a518>, <kernel.DependentProduct object at 0x171a9e0>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collec3392354462482085612at_nat:((product_prod_nat_nat->Prop)->set_Pr1261947904930325089at_nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171a8c0>, <kernel.DependentProduct object at 0x171acb0>) of role type named sy_c_Set_OCollect_001t__Rat__Orat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collect_rat:((rat->Prop)->set_rat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171a5a8>, <kernel.DependentProduct object at 0x171acf8>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collect_real:((real->Prop)->set_real)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171aab8>, <kernel.DependentProduct object at 0x171a9e0>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collect_set_nat:((set_nat->Prop)->set_set_nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171acf8>, <kernel.DependentProduct object at 0x171ac68>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171a8c0>, <kernel.DependentProduct object at 0x171ac20>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171aab8>, <kernel.DependentProduct object at 0x171ad40>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171acf8>, <kernel.DependentProduct object at 0x171ad88>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171a8c0>, <kernel.DependentProduct object at 0x171a518>) of role type named sy_c_Set_Oimage_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring image_VEBT_VEBT_nat:((vEBT_VEBT->nat)->(set_VEBT_VEBT->set_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171aab8>, <kernel.DependentProduct object at 0x171acf8>) of role type named sy_c_Set_Oinsert_001t__Complex__Ocomplex
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring insert_complex:(complex->(set_complex->set_complex))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171ab48>, <kernel.DependentProduct object at 0x171aab8>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring insert_int:(int->(set_int->set_int))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171ac20>, <kernel.DependentProduct object at 0x171acf8>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171a9e0>, <kernel.DependentProduct object at 0x171ab48>) of role type named sy_c_Set_Oinsert_001t__Num__Onum
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring insert_num:(num->(set_num->set_num))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171a8c0>, <kernel.DependentProduct object at 0x171acf8>) of role type named sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring insert8211810215607154385at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171af80>, <kernel.DependentProduct object at 0x171af38>) of role type named sy_c_Set_Oinsert_001t__Rat__Orat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring insert_rat:(rat->(set_rat->set_rat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171ad88>, <kernel.DependentProduct object at 0x171ac68>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring insert_real:(real->(set_real->set_real))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171acf8>, <kernel.DependentProduct object at 0x171af38>) of role type named sy_c_Set_Oinsert_001t__VEBT____Definitions__OVEBT
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring insert_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171af80>, <kernel.DependentProduct object at 0x171d1b8>) of role type named sy_c_Set_Ovimage_001t__Nat__Onat_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vimage_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171af80>, <kernel.DependentProduct object at 0x171d170>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Complex__Ocomplex
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring set_fo1517530859248394432omplex:((nat->(complex->complex))->(nat->(nat->(complex->complex))))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171af80>, <kernel.DependentProduct object at 0x171d1b8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Int__Oint
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring set_fo2581907887559384638at_int:((nat->(int->int))->(nat->(nat->(int->int))))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171d2d8>, <kernel.DependentProduct object at 0x171d050>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171d1b8>, <kernel.DependentProduct object at 0x171d200>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Rat__Orat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring set_fo1949268297981939178at_rat:((nat->(rat->rat))->(nat->(nat->(rat->rat))))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x171d050>, <kernel.DependentProduct object at 0x171d320>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring set_fo3111899725591712190t_real:((nat->(real->real))->(nat->(nat->(real->real))))
% 0.73/0.88 FOF formula (<kernel.Constant object at 0x171d200>, <kernel.DependentProduct object at 0x171d488>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.73/0.88 Using role type
% 0.73/0.88 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.73/0.88 FOF formula (<kernel.Constant object at 0x171d248>, <kernel.DependentProduct object at 0x171d200>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.73/0.88 Using role type
% 0.73/0.88 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.73/0.88 FOF formula (<kernel.Constant object at 0x171d488>, <kernel.DependentProduct object at 0x171d248>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.73/0.88 Using role type
% 0.73/0.88 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.73/0.88 FOF formula (<kernel.Constant object at 0x171d200>, <kernel.DependentProduct object at 0x171d488>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.73/0.88 Using role type
% 0.73/0.88 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.73/0.88 FOF formula (<kernel.Constant object at 0x171d248>, <kernel.DependentProduct object at 0x171d200>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.73/0.88 Using role type
% 0.73/0.88 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.73/0.88 FOF formula (<kernel.Constant object at 0x171d488>, <kernel.DependentProduct object at 0x171d248>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Nat__Onat_J
% 0.73/0.88 Using role type
% 0.73/0.88 Declaring set_or4548717258645045905et_nat:(set_nat->(set_nat->set_set_nat))
% 0.73/0.88 FOF formula (<kernel.Constant object at 0x171d200>, <kernel.DependentProduct object at 0x171d488>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.73/0.88 Using role type
% 0.73/0.88 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.73/0.88 FOF formula (<kernel.Constant object at 0x171d248>, <kernel.DependentProduct object at 0x171d200>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.73/0.88 Using role type
% 0.73/0.88 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.73/0.88 FOF formula (<kernel.Constant object at 0x171d050>, <kernel.DependentProduct object at 0x171d3b0>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.73/0.88 Using role type
% 0.73/0.88 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.73/0.88 FOF formula (<kernel.Constant object at 0x171d7e8>, <kernel.DependentProduct object at 0x171d950>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Int__Oint
% 0.73/0.88 Using role type
% 0.73/0.88 Declaring set_ord_atMost_int:(int->set_int)
% 0.73/0.88 FOF formula (<kernel.Constant object at 0x171d878>, <kernel.DependentProduct object at 0x171d998>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.73/0.88 Using role type
% 0.73/0.88 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.73/0.88 FOF formula (<kernel.Constant object at 0x171d200>, <kernel.DependentProduct object at 0x171d9e0>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Num__Onum
% 0.73/0.88 Using role type
% 0.73/0.88 Declaring set_ord_atMost_num:(num->set_num)
% 0.73/0.88 FOF formula (<kernel.Constant object at 0x171d3b0>, <kernel.DependentProduct object at 0x171da28>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Rat__Orat
% 0.73/0.88 Using role type
% 0.73/0.88 Declaring set_ord_atMost_rat:(rat->set_rat)
% 0.73/0.88 FOF formula (<kernel.Constant object at 0x171d950>, <kernel.DependentProduct object at 0x171da70>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Real__Oreal
% 0.73/0.88 Using role type
% 0.73/0.88 Declaring set_ord_atMost_real:(real->set_real)
% 0.73/0.88 FOF formula (<kernel.Constant object at 0x171d3b0>, <kernel.DependentProduct object at 0x171dab8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Set__Oset_It__Nat__Onat_J
% 0.73/0.88 Using role type
% 0.73/0.88 Declaring set_or4236626031148496127et_nat:(set_nat->set_set_nat)
% 0.73/0.88 FOF formula (<kernel.Constant object at 0x171da70>, <kernel.DependentProduct object at 0x171d3b0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.73/0.88 Using role type
% 0.73/0.88 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171dab8>, <kernel.DependentProduct object at 0x171da70>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171d3b0>, <kernel.DependentProduct object at 0x171dab8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171da70>, <kernel.DependentProduct object at 0x171d3b0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171dab8>, <kernel.DependentProduct object at 0x171da70>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171d3b0>, <kernel.DependentProduct object at 0x171d998>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171da70>, <kernel.DependentProduct object at 0x171dea8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171db48>, <kernel.DependentProduct object at 0x171df38>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Int__Oint
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring set_ord_lessThan_int:(int->set_int)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171ddd0>, <kernel.DependentProduct object at 0x171df80>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171de60>, <kernel.DependentProduct object at 0x171dfc8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Num__Onum
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring set_ord_lessThan_num:(num->set_num)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171dea8>, <kernel.DependentProduct object at 0x171f050>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Rat__Orat
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring set_ord_lessThan_rat:(rat->set_rat)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171de60>, <kernel.DependentProduct object at 0x171f098>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171df38>, <kernel.DependentProduct object at 0x171f128>) of role type named sy_c_String_Oascii__of
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring ascii_of:(char->char)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171dea8>, <kernel.DependentProduct object at 0x171f050>) of role type named sy_c_String_Ochar_OChar
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring char2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->char))))))))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171dea8>, <kernel.DependentProduct object at 0x171f170>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171db48>, <kernel.DependentProduct object at 0x171f248>) of role type named sy_c_String_Ointeger__of__char
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring integer_of_char:(char->code_integer)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171f290>, <kernel.DependentProduct object at 0x171f128>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171f050>, <kernel.DependentProduct object at 0x171f3b0>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171f0e0>, <kernel.DependentProduct object at 0x171f440>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Real__Oreal_001t__Real__Oreal
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring topolo5044208981011980120l_real:(set_real->((real->real)->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171f2d8>, <kernel.DependentProduct object at 0x171f320>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Int__Oint
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring topolo4899668324122417113eq_int:((nat->int)->Prop)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171f440>, <kernel.DependentProduct object at 0x171f488>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Nat__Onat
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring topolo4902158794631467389eq_nat:((nat->nat)->Prop)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171f320>, <kernel.DependentProduct object at 0x171f518>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Num__Onum
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring topolo1459490580787246023eq_num:((nat->num)->Prop)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171f488>, <kernel.DependentProduct object at 0x171f5a8>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Rat__Orat
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring topolo4267028734544971653eq_rat:((nat->rat)->Prop)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171f518>, <kernel.DependentProduct object at 0x171f638>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171f5a8>, <kernel.DependentProduct object at 0x171f6c8>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Set__Oset_It__Nat__Onat_J
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring topolo7278393974255667507et_nat:((nat->set_nat)->Prop)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171f638>, <kernel.DependentProduct object at 0x171f5a8>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171f6c8>, <kernel.DependentProduct object at 0x171f098>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171f5a8>, <kernel.DependentProduct object at 0x171f878>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171f7a0>, <kernel.DependentProduct object at 0x171f950>) of role type named sy_c_Transcendental_Oarccos
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring arccos:(real->real)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171f7e8>, <kernel.DependentProduct object at 0x171f998>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring arcosh_real:(real->real)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171f518>, <kernel.DependentProduct object at 0x171f9e0>) of role type named sy_c_Transcendental_Oarcsin
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring arcsin:(real->real)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171f878>, <kernel.DependentProduct object at 0x171fa28>) of role type named sy_c_Transcendental_Oarctan
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring arctan:(real->real)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171f950>, <kernel.DependentProduct object at 0x171fa70>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring arsinh_real:(real->real)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171f998>, <kernel.DependentProduct object at 0x171fab8>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring artanh_real:(real->real)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x171f9e0>, <kernel.DependentProduct object at 0x171fb00>) of role type named sy_c_Transcendental_Ocos_001t__Complex__Ocomplex
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring cos_complex:(complex->complex)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171fa28>, <kernel.DependentProduct object at 0x171fb48>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring cos_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171f128>, <kernel.DependentProduct object at 0x171fbd8>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring cos_coeff:(nat->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171fb00>, <kernel.DependentProduct object at 0x171fa28>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring cosh_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171fbd8>, <kernel.DependentProduct object at 0x171fc20>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring cot_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171f950>, <kernel.DependentProduct object at 0x171f128>) of role type named sy_c_Transcendental_Odiffs_001t__Complex__Ocomplex
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring diffs_complex:((nat->complex)->(nat->complex))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171fb00>, <kernel.DependentProduct object at 0x171fa28>) of role type named sy_c_Transcendental_Odiffs_001t__Int__Oint
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring diffs_int:((nat->int)->(nat->int))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171fbd8>, <kernel.DependentProduct object at 0x171fc68>) of role type named sy_c_Transcendental_Odiffs_001t__Rat__Orat
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring diffs_rat:((nat->rat)->(nat->rat))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171f950>, <kernel.DependentProduct object at 0x171fcb0>) of role type named sy_c_Transcendental_Odiffs_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring diffs_real:((nat->real)->(nat->real))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171fb00>, <kernel.DependentProduct object at 0x171f128>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring exp_complex:(complex->complex)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171f9e0>, <kernel.DependentProduct object at 0x171fa28>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring exp_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171fc20>, <kernel.DependentProduct object at 0x171fe18>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring ln_ln_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171fcb0>, <kernel.DependentProduct object at 0x171f9e0>) of role type named sy_c_Transcendental_Olog
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring log:(real->(real->real))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171fe60>, <kernel.Constant object at 0x171f9e0>) of role type named sy_c_Transcendental_Opi
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring pi:real
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171fe18>, <kernel.DependentProduct object at 0x171fcb0>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring powr_real:(real->(real->real))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171f128>, <kernel.DependentProduct object at 0x171ff38>) of role type named sy_c_Transcendental_Osin_001t__Complex__Ocomplex
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring sin_complex:(complex->complex)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171f950>, <kernel.DependentProduct object at 0x171fa28>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring sin_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171fa70>, <kernel.DependentProduct object at 0x1722050>) of role type named sy_c_Transcendental_Osin__coeff
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring sin_coeff:(nat->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171ff38>, <kernel.DependentProduct object at 0x1722050>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring sinh_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171fe60>, <kernel.DependentProduct object at 0x1722098>) of role type named sy_c_Transcendental_Otan_001t__Complex__Ocomplex
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring tan_complex:(complex->complex)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171fa70>, <kernel.DependentProduct object at 0x17220e0>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring tan_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171fcb0>, <kernel.DependentProduct object at 0x1722128>) of role type named sy_c_Transcendental_Otanh_001t__Complex__Ocomplex
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring tanh_complex:(complex->complex)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171ff38>, <kernel.DependentProduct object at 0x1722170>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring tanh_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171ff38>, <kernel.DependentProduct object at 0x1722128>) of role type named sy_c_Transitive__Closure_Ortrancl_001t__Nat__Onat
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring transi2905341329935302413cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171ff38>, <kernel.DependentProduct object at 0x1722050>) of role type named sy_c_Transitive__Closure_Otrancl_001t__Nat__Onat
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring transi6264000038957366511cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171fa28>, <kernel.DependentProduct object at 0x17220e0>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_T_m_e_m_b_e_r:(vEBT_VEBT->(nat->nat))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x171ff38>, <kernel.DependentProduct object at 0x17222d8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r_H
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_T_m_e_m_b_e_r2:(vEBT_VEBT->(nat->nat))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x1722290>, <kernel.DependentProduct object at 0x1722050>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r_H__rel
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_T8099345112685741742_r_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x1722320>, <kernel.DependentProduct object at 0x1722050>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r__rel
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_T5837161174952499735_r_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x1722368>, <kernel.DependentProduct object at 0x1722488>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x17220e0>, <kernel.DependentProduct object at 0x1722050>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x1722560>, <kernel.DependentProduct object at 0x1722320>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x1722368>, <kernel.DependentProduct object at 0x1722560>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x17225f0>, <kernel.DependentProduct object at 0x1722320>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x1722368>, <kernel.DependentProduct object at 0x17225f0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x17220e0>, <kernel.DependentProduct object at 0x1722320>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x1722710>, <kernel.DependentProduct object at 0x1722368>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x17220e0>, <kernel.DependentProduct object at 0x17225f0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x1722368>, <kernel.DependentProduct object at 0x17220e0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x17225f0>, <kernel.DependentProduct object at 0x1722320>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x17227e8>, <kernel.DependentProduct object at 0x17220e0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x17228c0>, <kernel.DependentProduct object at 0x17220e0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x17222d8>, <kernel.DependentProduct object at 0x17228c0>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x1722950>, <kernel.DependentProduct object at 0x17229e0>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x1722320>, <kernel.DependentProduct object at 0x17220e0>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x17222d8>, <kernel.DependentProduct object at 0x1722320>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x1722a28>, <kernel.DependentProduct object at 0x1722b00>) of role type named sy_c_VEBT__Height_OVEBT__internal_Oheight
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_VEBT_height:(vEBT_VEBT->nat)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x1722950>, <kernel.DependentProduct object at 0x17222d8>) of role type named sy_c_VEBT__Height_OVEBT__internal_Oheight__rel
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_VEBT_height_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x1722998>, <kernel.DependentProduct object at 0x1722950>) of role type named sy_c_VEBT__Insert_Ovebt__insert
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_vebt_insert:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x1722bd8>, <kernel.DependentProduct object at 0x1722998>) of role type named sy_c_VEBT__Insert_Ovebt__insert__rel
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_vebt_insert_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x1722b90>, <kernel.DependentProduct object at 0x17222d8>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x1722b00>, <kernel.DependentProduct object at 0x1722320>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1722b90>, <kernel.DependentProduct object at 0x1722b00>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull__rel
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_V6963167321098673237ll_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1722cb0>, <kernel.DependentProduct object at 0x17229e0>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1722a70>, <kernel.DependentProduct object at 0x1722cb0>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1722320>, <kernel.DependentProduct object at 0x1722a70>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1722b00>, <kernel.DependentProduct object at 0x17229e0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oadd
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_VEBT_add:(option_nat->(option_nat->option_nat))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1722b90>, <kernel.DependentProduct object at 0x1722320>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ogreater
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_VEBT_greater:(option_nat->(option_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1722d40>, <kernel.DependentProduct object at 0x1722b00>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oless
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_VEBT_less:(option_nat->(option_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1722e18>, <kernel.DependentProduct object at 0x1722b90>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Olesseq
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_VEBT_lesseq:(option_nat->(option_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1722a70>, <kernel.DependentProduct object at 0x1722d40>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omax__in__set
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_VEBT_max_in_set:(set_nat->(nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x17229e0>, <kernel.DependentProduct object at 0x1722e18>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omin__in__set
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_VEBT_min_in_set:(set_nat->(nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1722320>, <kernel.DependentProduct object at 0x1722a70>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omul
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_VEBT_mul:(option_nat->(option_nat->option_nat))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x17229e0>, <kernel.DependentProduct object at 0x1722d40>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Nat__Onat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_V4262088993061758097ft_nat:((nat->(nat->nat))->(option_nat->(option_nat->option_nat)))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1722a70>, <kernel.DependentProduct object at 0x1726050>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Num__Onum
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_V819420779217536731ft_num:((num->(num->num))->(option_num->(option_num->option_num)))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1722d40>, <kernel.DependentProduct object at 0x1724200>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_V1502963449132264192at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(option4927543243414619207at_nat->(option4927543243414619207at_nat->option4927543243414619207at_nat)))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1722a70>, <kernel.DependentProduct object at 0x1724098>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Opower
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_VEBT_power:(option_nat->(option_nat->option_nat))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x17229e0>, <kernel.DependentProduct object at 0x1724200>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_vebt_maxt:(vEBT_VEBT->option_nat)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1722d40>, <kernel.DependentProduct object at 0x1724248>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt__rel
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_vebt_maxt_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1722d40>, <kernel.DependentProduct object at 0x17242d8>) of role type named sy_c_VEBT__MinMax_Ovebt__mint
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_vebt_mint:(vEBT_VEBT->option_nat)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724098>, <kernel.DependentProduct object at 0x1724290>) of role type named sy_c_VEBT__MinMax_Ovebt__mint__rel
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_vebt_mint_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x17241b8>, <kernel.DependentProduct object at 0x1724170>) of role type named sy_c_VEBT__Pred_Ois__pred__in__set
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_is_pred_in_set:(set_nat->(nat->(nat->Prop)))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x17243f8>, <kernel.DependentProduct object at 0x1724050>) of role type named sy_c_VEBT__Pred_Ovebt__pred
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_vebt_pred:(vEBT_VEBT->(nat->option_nat))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724320>, <kernel.DependentProduct object at 0x17242d8>) of role type named sy_c_VEBT__Pred_Ovebt__pred__rel
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_vebt_pred_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724248>, <kernel.DependentProduct object at 0x1724050>) of role type named sy_c_VEBT__Succ_Ois__succ__in__set
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_is_succ_in_set:(set_nat->(nat->(nat->Prop)))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x17244d0>, <kernel.DependentProduct object at 0x1724098>) of role type named sy_c_VEBT__Succ_Ovebt__succ
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_vebt_succ:(vEBT_VEBT->(nat->option_nat))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724200>, <kernel.DependentProduct object at 0x1724170>) of role type named sy_c_VEBT__Succ_Ovebt__succ__rel
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_vebt_succ_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724290>, <kernel.DependentProduct object at 0x1724050>) of role type named sy_c_Wellfounded_Oaccp_001t__List__Olist_It__Nat__Onat_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring accp_list_nat:((list_nat->(list_nat->Prop))->(list_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724200>, <kernel.DependentProduct object at 0x17242d8>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724290>, <kernel.DependentProduct object at 0x1724518>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x17242d8>, <kernel.DependentProduct object at 0x17245a8>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724518>, <kernel.DependentProduct object at 0x1724638>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring accp_P3113834385874906142um_num:((product_prod_num_num->(product_prod_num_num->Prop))->(product_prod_num_num->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x17245a8>, <kernel.DependentProduct object at 0x1724200>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x17242d8>, <kernel.DependentProduct object at 0x1724518>) of role type named sy_c_Wellfounded_Oaccp_001t__VEBT____Definitions__OVEBT
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring accp_VEBT_VEBT:((vEBT_VEBT->(vEBT_VEBT->Prop))->(vEBT_VEBT->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724200>, <kernel.Constant object at 0x17247a0>) of role type named sy_c_Wellfounded_Opred__nat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring pred_nat:set_Pr1261947904930325089at_nat
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724710>, <kernel.DependentProduct object at 0x1724830>) of role type named sy_c_Wellfounded_Owf_001t__Nat__Onat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring wf_nat:(set_Pr1261947904930325089at_nat->Prop)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724488>, <kernel.DependentProduct object at 0x1724908>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring fChoice_real:((real->Prop)->real)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724638>, <kernel.DependentProduct object at 0x1724488>) of role type named sy_c_member_001_Eo
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member_o:(Prop->(set_o->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x17242d8>, <kernel.DependentProduct object at 0x1724638>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member_complex:(complex->(set_complex->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724878>, <kernel.DependentProduct object at 0x1724830>) of role type named sy_c_member_001t__Int__Oint
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member_int:(int->(set_int->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724908>, <kernel.DependentProduct object at 0x1724488>) of role type named sy_c_member_001t__List__Olist_I_Eo_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member_list_o:(list_o->(set_list_o->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724638>, <kernel.DependentProduct object at 0x1724878>) of role type named sy_c_member_001t__List__Olist_It__Int__Oint_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member_list_int:(list_int->(set_list_int->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724710>, <kernel.DependentProduct object at 0x1724908>) of role type named sy_c_member_001t__List__Olist_It__Nat__Onat_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member_list_nat:(list_nat->(set_list_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724638>, <kernel.DependentProduct object at 0x1724710>) of role type named sy_c_member_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member2936631157270082147T_VEBT:(list_VEBT_VEBT->(set_list_VEBT_VEBT->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724830>, <kernel.DependentProduct object at 0x1724908>) of role type named sy_c_member_001t__Nat__Onat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member_nat:(nat->(set_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724b00>, <kernel.DependentProduct object at 0x1724638>) of role type named sy_c_member_001t__Num__Onum
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member_num:(num->(set_num->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724830>, <kernel.DependentProduct object at 0x1724710>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member1379723562493234055eger_o:(produc6271795597528267376eger_o->(set_Pr448751882837621926eger_o->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724638>, <kernel.DependentProduct object at 0x1724c20>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member5262025264175285858nt_int:(product_prod_int_int->(set_Pr958786334691620121nt_int->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724710>, <kernel.DependentProduct object at 0x1724cb0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member8440522571783428010at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x1724c20>, <kernel.DependentProduct object at 0x1724d40>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.76/0.92 Using role type
% 0.76/0.92 Declaring member9148766508732265716at_num:(product_prod_nat_num->(set_Pr6200539531224447659at_num->Prop))
% 0.76/0.92 FOF formula (<kernel.Constant object at 0x1724cb0>, <kernel.DependentProduct object at 0x1724dd0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.76/0.92 Using role type
% 0.76/0.92 Declaring member7279096912039735102um_num:(product_prod_num_num->(set_Pr8218934625190621173um_num->Prop))
% 0.76/0.92 FOF formula (<kernel.Constant object at 0x1724710>, <kernel.DependentProduct object at 0x1724d40>) of role type named sy_c_member_001t__Rat__Orat
% 0.76/0.92 Using role type
% 0.76/0.92 Declaring member_rat:(rat->(set_rat->Prop))
% 0.76/0.92 FOF formula (<kernel.Constant object at 0x17247a0>, <kernel.DependentProduct object at 0x1724710>) of role type named sy_c_member_001t__Real__Oreal
% 0.76/0.92 Using role type
% 0.76/0.92 Declaring member_real:(real->(set_real->Prop))
% 0.76/0.92 FOF formula (<kernel.Constant object at 0x1724ef0>, <kernel.DependentProduct object at 0x1724cb0>) of role type named sy_c_member_001t__Set__Oset_It__Nat__Onat_J
% 0.76/0.92 Using role type
% 0.76/0.92 Declaring member_set_nat:(set_nat->(set_set_nat->Prop))
% 0.76/0.92 FOF formula (<kernel.Constant object at 0x1724638>, <kernel.DependentProduct object at 0x1724d40>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.76/0.92 Using role type
% 0.76/0.92 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.76/0.92 FOF formula (<kernel.Constant object at 0x1724710>, <kernel.Constant object at 0x1724d40>) of role type named sy_v_deg____
% 0.76/0.92 Using role type
% 0.76/0.92 Declaring deg:nat
% 0.76/0.92 FOF formula (<kernel.Constant object at 0x1724cb0>, <kernel.Constant object at 0x1724d40>) of role type named sy_v_m____
% 0.76/0.92 Using role type
% 0.76/0.92 Declaring m:nat
% 0.76/0.92 FOF formula (<kernel.Constant object at 0x1724830>, <kernel.Constant object at 0x1724d40>) of role type named sy_v_ma____
% 0.76/0.92 Using role type
% 0.76/0.92 Declaring ma:nat
% 0.76/0.92 FOF formula (<kernel.Constant object at 0x1724fc8>, <kernel.Constant object at 0x1724d40>) of role type named sy_v_mi____
% 0.76/0.92 Using role type
% 0.76/0.92 Declaring mi:nat
% 0.76/0.92 FOF formula (<kernel.Constant object at 0x1724f80>, <kernel.Constant object at 0x1724d40>) of role type named sy_v_na____
% 0.76/0.92 Using role type
% 0.76/0.92 Declaring na:nat
% 0.76/0.92 FOF formula (<kernel.Constant object at 0x1724830>, <kernel.Constant object at 0x17247a0>) of role type named sy_v_summary____
% 0.76/0.92 Using role type
% 0.76/0.92 Declaring summary:vEBT_VEBT
% 0.76/0.92 FOF formula (<kernel.Constant object at 0x1724fc8>, <kernel.Constant object at 0x1729050>) of role type named sy_v_treeList____
% 0.76/0.92 Using role type
% 0.76/0.92 Declaring treeList:list_VEBT_VEBT
% 0.76/0.92 FOF formula (<kernel.Constant object at 0x1724830>, <kernel.Constant object at 0x17290e0>) of role type named sy_v_xa____
% 0.76/0.92 Using role type
% 0.76/0.92 Declaring xa:nat
% 0.76/0.92 FOF formula ((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) deg) of role axiom named fact_0__092_060open_0622_A_092_060le_062_Adeg_092_060close_062
% 0.76/0.92 A new axiom: ((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) deg)
% 0.76/0.92 FOF formula ((ord_less_eq_nat mi) ma) of role axiom named fact_1__C5_Ohyps_C_I7_J
% 0.76/0.92 A new axiom: ((ord_less_eq_nat mi) ma)
% 0.76/0.92 FOF formula (((eq (set_nat->(nat->Prop))) vEBT_VEBT_max_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat Y) X)))))) of role axiom named fact_2_max__in__set__def
% 0.76/0.92 A new axiom: (((eq (set_nat->(nat->Prop))) vEBT_VEBT_max_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat Y) X))))))
% 0.76/0.92 FOF formula (((eq (set_nat->(nat->Prop))) vEBT_VEBT_min_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat X) Y)))))) of role axiom named fact_3_min__in__set__def
% 0.76/0.92 A new axiom: (((eq (set_nat->(nat->Prop))) vEBT_VEBT_min_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat X) Y))))))
% 0.76/0.92 FOF formula (forall (Summary:vEBT_VEBT) (Info:option4927543243414619207at_nat) (Deg:nat) (TreeList:list_VEBT_VEBT), ((ord_less_eq_nat ((plus_plus_nat one_one_nat) (vEBT_VEBT_height Summary))) (vEBT_VEBT_height ((((vEBT_Node Info) Deg) TreeList) Summary)))) of role axiom named fact_4_height__compose__summary
% 0.76/0.93 A new axiom: (forall (Summary:vEBT_VEBT) (Info:option4927543243414619207at_nat) (Deg:nat) (TreeList:list_VEBT_VEBT), ((ord_less_eq_nat ((plus_plus_nat one_one_nat) (vEBT_VEBT_height Summary))) (vEBT_VEBT_height ((((vEBT_Node Info) Deg) TreeList) Summary))))
% 0.76/0.93 FOF formula (forall (X2:nat), ((ord_less_eq_nat ((vEBT_T_m_e_m_b_e_r2 summary) X2)) ((plus_plus_nat one_one_nat) (vEBT_VEBT_height summary)))) of role axiom named fact_5__C5_OIH_C_I2_J
% 0.76/0.93 A new axiom: (forall (X2:nat), ((ord_less_eq_nat ((vEBT_T_m_e_m_b_e_r2 summary) X2)) ((plus_plus_nat one_one_nat) (vEBT_VEBT_height summary))))
% 0.76/0.93 FOF formula (forall (K:nat) (M:nat) (N:nat), (((eq Prop) ((ord_less_eq_nat ((plus_plus_nat K) M)) ((plus_plus_nat K) N))) ((ord_less_eq_nat M) N))) of role axiom named fact_6_nat__add__left__cancel__le
% 0.76/0.93 A new axiom: (forall (K:nat) (M:nat) (N:nat), (((eq Prop) ((ord_less_eq_nat ((plus_plus_nat K) M)) ((plus_plus_nat K) N))) ((ord_less_eq_nat M) N)))
% 0.76/0.93 FOF formula (forall (C:real) (A:real) (B:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real C) A)) ((plus_plus_real C) B))) ((ord_less_eq_real A) B))) of role axiom named fact_7_add__le__cancel__left
% 0.76/0.93 A new axiom: (forall (C:real) (A:real) (B:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real C) A)) ((plus_plus_real C) B))) ((ord_less_eq_real A) B)))
% 0.76/0.93 FOF formula (forall (C:rat) (A:rat) (B:rat), (((eq Prop) ((ord_less_eq_rat ((plus_plus_rat C) A)) ((plus_plus_rat C) B))) ((ord_less_eq_rat A) B))) of role axiom named fact_8_add__le__cancel__left
% 0.76/0.93 A new axiom: (forall (C:rat) (A:rat) (B:rat), (((eq Prop) ((ord_less_eq_rat ((plus_plus_rat C) A)) ((plus_plus_rat C) B))) ((ord_less_eq_rat A) B)))
% 0.76/0.93 FOF formula (forall (C:nat) (A:nat) (B:nat), (((eq Prop) ((ord_less_eq_nat ((plus_plus_nat C) A)) ((plus_plus_nat C) B))) ((ord_less_eq_nat A) B))) of role axiom named fact_9_add__le__cancel__left
% 0.76/0.93 A new axiom: (forall (C:nat) (A:nat) (B:nat), (((eq Prop) ((ord_less_eq_nat ((plus_plus_nat C) A)) ((plus_plus_nat C) B))) ((ord_less_eq_nat A) B)))
% 0.76/0.93 FOF formula (forall (C:int) (A:int) (B:int), (((eq Prop) ((ord_less_eq_int ((plus_plus_int C) A)) ((plus_plus_int C) B))) ((ord_less_eq_int A) B))) of role axiom named fact_10_add__le__cancel__left
% 0.76/0.93 A new axiom: (forall (C:int) (A:int) (B:int), (((eq Prop) ((ord_less_eq_int ((plus_plus_int C) A)) ((plus_plus_int C) B))) ((ord_less_eq_int A) B)))
% 0.76/0.93 FOF formula (forall (A:real) (C:real) (B:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real A) C)) ((plus_plus_real B) C))) ((ord_less_eq_real A) B))) of role axiom named fact_11_add__le__cancel__right
% 0.76/0.93 A new axiom: (forall (A:real) (C:real) (B:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real A) C)) ((plus_plus_real B) C))) ((ord_less_eq_real A) B)))
% 0.76/0.93 FOF formula (forall (A:rat) (C:rat) (B:rat), (((eq Prop) ((ord_less_eq_rat ((plus_plus_rat A) C)) ((plus_plus_rat B) C))) ((ord_less_eq_rat A) B))) of role axiom named fact_12_add__le__cancel__right
% 0.76/0.93 A new axiom: (forall (A:rat) (C:rat) (B:rat), (((eq Prop) ((ord_less_eq_rat ((plus_plus_rat A) C)) ((plus_plus_rat B) C))) ((ord_less_eq_rat A) B)))
% 0.76/0.93 FOF formula (forall (A:nat) (C:nat) (B:nat), (((eq Prop) ((ord_less_eq_nat ((plus_plus_nat A) C)) ((plus_plus_nat B) C))) ((ord_less_eq_nat A) B))) of role axiom named fact_13_add__le__cancel__right
% 0.76/0.93 A new axiom: (forall (A:nat) (C:nat) (B:nat), (((eq Prop) ((ord_less_eq_nat ((plus_plus_nat A) C)) ((plus_plus_nat B) C))) ((ord_less_eq_nat A) B)))
% 0.76/0.93 FOF formula (forall (A:int) (C:int) (B:int), (((eq Prop) ((ord_less_eq_int ((plus_plus_int A) C)) ((plus_plus_int B) C))) ((ord_less_eq_int A) B))) of role axiom named fact_14_add__le__cancel__right
% 0.76/0.93 A new axiom: (forall (A:int) (C:int) (B:int), (((eq Prop) ((ord_less_eq_int ((plus_plus_int A) C)) ((plus_plus_int B) C))) ((ord_less_eq_int A) B)))
% 0.76/0.93 FOF formula (forall (T:vEBT_VEBT) (TreeList:list_VEBT_VEBT) (Info:option4927543243414619207at_nat) (Deg:nat) (Summary:vEBT_VEBT), (((member_VEBT_VEBT T) (set_VEBT_VEBT2 TreeList))->((ord_less_eq_nat ((plus_plus_nat one_one_nat) (vEBT_VEBT_height T))) (vEBT_VEBT_height ((((vEBT_Node Info) Deg) TreeList) Summary))))) of role axiom named fact_15_height__compose__child
% 0.77/0.94 A new axiom: (forall (T:vEBT_VEBT) (TreeList:list_VEBT_VEBT) (Info:option4927543243414619207at_nat) (Deg:nat) (Summary:vEBT_VEBT), (((member_VEBT_VEBT T) (set_VEBT_VEBT2 TreeList))->((ord_less_eq_nat ((plus_plus_nat one_one_nat) (vEBT_VEBT_height T))) (vEBT_VEBT_height ((((vEBT_Node Info) Deg) TreeList) Summary)))))
% 0.77/0.94 FOF formula (((eq nat) deg) ((plus_plus_nat na) m)) of role axiom named fact_16__C5_Ohyps_C_I4_J
% 0.77/0.94 A new axiom: (((eq nat) deg) ((plus_plus_nat na) m))
% 0.77/0.94 FOF formula (forall (X11:option4927543243414619207at_nat) (X12:nat) (X13:list_VEBT_VEBT) (X14:vEBT_VEBT) (Y11:option4927543243414619207at_nat) (Y12:nat) (Y13:list_VEBT_VEBT) (Y14:vEBT_VEBT), (((eq Prop) (((eq vEBT_VEBT) ((((vEBT_Node X11) X12) X13) X14)) ((((vEBT_Node Y11) Y12) Y13) Y14))) ((and ((and ((and (((eq option4927543243414619207at_nat) X11) Y11)) (((eq nat) X12) Y12))) (((eq list_VEBT_VEBT) X13) Y13))) (((eq vEBT_VEBT) X14) Y14)))) of role axiom named fact_17_VEBT_Oinject_I1_J
% 0.77/0.94 A new axiom: (forall (X11:option4927543243414619207at_nat) (X12:nat) (X13:list_VEBT_VEBT) (X14:vEBT_VEBT) (Y11:option4927543243414619207at_nat) (Y12:nat) (Y13:list_VEBT_VEBT) (Y14:vEBT_VEBT), (((eq Prop) (((eq vEBT_VEBT) ((((vEBT_Node X11) X12) X13) X14)) ((((vEBT_Node Y11) Y12) Y13) Y14))) ((and ((and ((and (((eq option4927543243414619207at_nat) X11) Y11)) (((eq nat) X12) Y12))) (((eq list_VEBT_VEBT) X13) Y13))) (((eq vEBT_VEBT) X14) Y14))))
% 0.77/0.94 FOF formula (forall (X22:product_prod_nat_nat) (Y2:product_prod_nat_nat), (((eq Prop) (((eq option4927543243414619207at_nat) (some_P7363390416028606310at_nat X22)) (some_P7363390416028606310at_nat Y2))) (((eq product_prod_nat_nat) X22) Y2))) of role axiom named fact_18_option_Oinject
% 0.77/0.94 A new axiom: (forall (X22:product_prod_nat_nat) (Y2:product_prod_nat_nat), (((eq Prop) (((eq option4927543243414619207at_nat) (some_P7363390416028606310at_nat X22)) (some_P7363390416028606310at_nat Y2))) (((eq product_prod_nat_nat) X22) Y2)))
% 0.77/0.94 FOF formula (forall (X22:nat) (Y2:nat), (((eq Prop) (((eq option_nat) (some_nat X22)) (some_nat Y2))) (((eq nat) X22) Y2))) of role axiom named fact_19_option_Oinject
% 0.77/0.94 A new axiom: (forall (X22:nat) (Y2:nat), (((eq Prop) (((eq option_nat) (some_nat X22)) (some_nat Y2))) (((eq nat) X22) Y2)))
% 0.77/0.94 FOF formula (forall (X22:num) (Y2:num), (((eq Prop) (((eq option_num) (some_num X22)) (some_num Y2))) (((eq num) X22) Y2))) of role axiom named fact_20_option_Oinject
% 0.77/0.94 A new axiom: (forall (X22:num) (Y2:num), (((eq Prop) (((eq option_num) (some_num X22)) (some_num Y2))) (((eq num) X22) Y2)))
% 0.77/0.94 FOF formula (forall (X1:code_integer) (X22:Prop) (Y1:code_integer) (Y2:Prop), (((eq Prop) (((eq produc6271795597528267376eger_o) ((produc6677183202524767010eger_o X1) X22)) ((produc6677183202524767010eger_o Y1) Y2))) ((and (((eq code_integer) X1) Y1)) (((eq Prop) X22) Y2)))) of role axiom named fact_21_prod_Oinject
% 0.77/0.94 A new axiom: (forall (X1:code_integer) (X22:Prop) (Y1:code_integer) (Y2:Prop), (((eq Prop) (((eq produc6271795597528267376eger_o) ((produc6677183202524767010eger_o X1) X22)) ((produc6677183202524767010eger_o Y1) Y2))) ((and (((eq code_integer) X1) Y1)) (((eq Prop) X22) Y2))))
% 0.77/0.94 FOF formula (forall (X1:num) (X22:num) (Y1:num) (Y2:num), (((eq Prop) (((eq product_prod_num_num) ((product_Pair_num_num X1) X22)) ((product_Pair_num_num Y1) Y2))) ((and (((eq num) X1) Y1)) (((eq num) X22) Y2)))) of role axiom named fact_22_prod_Oinject
% 0.77/0.94 A new axiom: (forall (X1:num) (X22:num) (Y1:num) (Y2:num), (((eq Prop) (((eq product_prod_num_num) ((product_Pair_num_num X1) X22)) ((product_Pair_num_num Y1) Y2))) ((and (((eq num) X1) Y1)) (((eq num) X22) Y2))))
% 0.77/0.94 FOF formula (forall (X1:nat) (X22:num) (Y1:nat) (Y2:num), (((eq Prop) (((eq product_prod_nat_num) ((product_Pair_nat_num X1) X22)) ((product_Pair_nat_num Y1) Y2))) ((and (((eq nat) X1) Y1)) (((eq num) X22) Y2)))) of role axiom named fact_23_prod_Oinject
% 0.77/0.94 A new axiom: (forall (X1:nat) (X22:num) (Y1:nat) (Y2:num), (((eq Prop) (((eq product_prod_nat_num) ((product_Pair_nat_num X1) X22)) ((product_Pair_nat_num Y1) Y2))) ((and (((eq nat) X1) Y1)) (((eq num) X22) Y2))))
% 0.77/0.95 FOF formula (forall (X1:nat) (X22:nat) (Y1:nat) (Y2:nat), (((eq Prop) (((eq product_prod_nat_nat) ((product_Pair_nat_nat X1) X22)) ((product_Pair_nat_nat Y1) Y2))) ((and (((eq nat) X1) Y1)) (((eq nat) X22) Y2)))) of role axiom named fact_24_prod_Oinject
% 0.77/0.95 A new axiom: (forall (X1:nat) (X22:nat) (Y1:nat) (Y2:nat), (((eq Prop) (((eq product_prod_nat_nat) ((product_Pair_nat_nat X1) X22)) ((product_Pair_nat_nat Y1) Y2))) ((and (((eq nat) X1) Y1)) (((eq nat) X22) Y2))))
% 0.77/0.95 FOF formula (forall (X1:int) (X22:int) (Y1:int) (Y2:int), (((eq Prop) (((eq product_prod_int_int) ((product_Pair_int_int X1) X22)) ((product_Pair_int_int Y1) Y2))) ((and (((eq int) X1) Y1)) (((eq int) X22) Y2)))) of role axiom named fact_25_prod_Oinject
% 0.77/0.95 A new axiom: (forall (X1:int) (X22:int) (Y1:int) (Y2:int), (((eq Prop) (((eq product_prod_int_int) ((product_Pair_int_int X1) X22)) ((product_Pair_int_int Y1) Y2))) ((and (((eq int) X1) Y1)) (((eq int) X22) Y2))))
% 0.77/0.95 FOF formula (forall (A:code_integer) (B:Prop) (A2:code_integer) (B2:Prop), (((eq Prop) (((eq produc6271795597528267376eger_o) ((produc6677183202524767010eger_o A) B)) ((produc6677183202524767010eger_o A2) B2))) ((and (((eq code_integer) A) A2)) (((eq Prop) B) B2)))) of role axiom named fact_26_old_Oprod_Oinject
% 0.77/0.95 A new axiom: (forall (A:code_integer) (B:Prop) (A2:code_integer) (B2:Prop), (((eq Prop) (((eq produc6271795597528267376eger_o) ((produc6677183202524767010eger_o A) B)) ((produc6677183202524767010eger_o A2) B2))) ((and (((eq code_integer) A) A2)) (((eq Prop) B) B2))))
% 0.77/0.95 FOF formula (forall (A:num) (B:num) (A2:num) (B2:num), (((eq Prop) (((eq product_prod_num_num) ((product_Pair_num_num A) B)) ((product_Pair_num_num A2) B2))) ((and (((eq num) A) A2)) (((eq num) B) B2)))) of role axiom named fact_27_old_Oprod_Oinject
% 0.77/0.95 A new axiom: (forall (A:num) (B:num) (A2:num) (B2:num), (((eq Prop) (((eq product_prod_num_num) ((product_Pair_num_num A) B)) ((product_Pair_num_num A2) B2))) ((and (((eq num) A) A2)) (((eq num) B) B2))))
% 0.77/0.95 FOF formula (forall (A:nat) (B:num) (A2:nat) (B2:num), (((eq Prop) (((eq product_prod_nat_num) ((product_Pair_nat_num A) B)) ((product_Pair_nat_num A2) B2))) ((and (((eq nat) A) A2)) (((eq num) B) B2)))) of role axiom named fact_28_old_Oprod_Oinject
% 0.77/0.95 A new axiom: (forall (A:nat) (B:num) (A2:nat) (B2:num), (((eq Prop) (((eq product_prod_nat_num) ((product_Pair_nat_num A) B)) ((product_Pair_nat_num A2) B2))) ((and (((eq nat) A) A2)) (((eq num) B) B2))))
% 0.77/0.95 FOF formula (forall (A:nat) (B:nat) (A2:nat) (B2:nat), (((eq Prop) (((eq product_prod_nat_nat) ((product_Pair_nat_nat A) B)) ((product_Pair_nat_nat A2) B2))) ((and (((eq nat) A) A2)) (((eq nat) B) B2)))) of role axiom named fact_29_old_Oprod_Oinject
% 0.77/0.95 A new axiom: (forall (A:nat) (B:nat) (A2:nat) (B2:nat), (((eq Prop) (((eq product_prod_nat_nat) ((product_Pair_nat_nat A) B)) ((product_Pair_nat_nat A2) B2))) ((and (((eq nat) A) A2)) (((eq nat) B) B2))))
% 0.77/0.95 FOF formula (forall (A:int) (B:int) (A2:int) (B2:int), (((eq Prop) (((eq product_prod_int_int) ((product_Pair_int_int A) B)) ((product_Pair_int_int A2) B2))) ((and (((eq int) A) A2)) (((eq int) B) B2)))) of role axiom named fact_30_old_Oprod_Oinject
% 0.77/0.95 A new axiom: (forall (A:int) (B:int) (A2:int) (B2:int), (((eq Prop) (((eq product_prod_int_int) ((product_Pair_int_int A) B)) ((product_Pair_int_int A2) B2))) ((and (((eq int) A) A2)) (((eq int) B) B2))))
% 0.77/0.95 FOF formula (forall (A:real) (B:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real A) B)) ((plus_plus_real A) C))) (((eq real) B) C))) of role axiom named fact_31_add__left__cancel
% 0.77/0.95 A new axiom: (forall (A:real) (B:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real A) B)) ((plus_plus_real A) C))) (((eq real) B) C)))
% 0.77/0.95 FOF formula (forall (A:rat) (B:rat) (C:rat), (((eq Prop) (((eq rat) ((plus_plus_rat A) B)) ((plus_plus_rat A) C))) (((eq rat) B) C))) of role axiom named fact_32_add__left__cancel
% 0.77/0.95 A new axiom: (forall (A:rat) (B:rat) (C:rat), (((eq Prop) (((eq rat) ((plus_plus_rat A) B)) ((plus_plus_rat A) C))) (((eq rat) B) C)))
% 0.77/0.95 FOF formula (forall (A:nat) (B:nat) (C:nat), (((eq Prop) (((eq nat) ((plus_plus_nat A) B)) ((plus_plus_nat A) C))) (((eq nat) B) C))) of role axiom named fact_33_add__left__cancel
% 0.77/0.95 A new axiom: (forall (A:nat) (B:nat) (C:nat), (((eq Prop) (((eq nat) ((plus_plus_nat A) B)) ((plus_plus_nat A) C))) (((eq nat) B) C)))
% 0.77/0.95 FOF formula (forall (A:int) (B:int) (C:int), (((eq Prop) (((eq int) ((plus_plus_int A) B)) ((plus_plus_int A) C))) (((eq int) B) C))) of role axiom named fact_34_add__left__cancel
% 0.77/0.95 A new axiom: (forall (A:int) (B:int) (C:int), (((eq Prop) (((eq int) ((plus_plus_int A) B)) ((plus_plus_int A) C))) (((eq int) B) C)))
% 0.77/0.95 FOF formula (forall (B:real) (A:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real B) A)) ((plus_plus_real C) A))) (((eq real) B) C))) of role axiom named fact_35_add__right__cancel
% 0.77/0.95 A new axiom: (forall (B:real) (A:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real B) A)) ((plus_plus_real C) A))) (((eq real) B) C)))
% 0.77/0.95 FOF formula (forall (B:rat) (A:rat) (C:rat), (((eq Prop) (((eq rat) ((plus_plus_rat B) A)) ((plus_plus_rat C) A))) (((eq rat) B) C))) of role axiom named fact_36_add__right__cancel
% 0.77/0.95 A new axiom: (forall (B:rat) (A:rat) (C:rat), (((eq Prop) (((eq rat) ((plus_plus_rat B) A)) ((plus_plus_rat C) A))) (((eq rat) B) C)))
% 0.77/0.95 FOF formula (forall (B:nat) (A:nat) (C:nat), (((eq Prop) (((eq nat) ((plus_plus_nat B) A)) ((plus_plus_nat C) A))) (((eq nat) B) C))) of role axiom named fact_37_add__right__cancel
% 0.77/0.95 A new axiom: (forall (B:nat) (A:nat) (C:nat), (((eq Prop) (((eq nat) ((plus_plus_nat B) A)) ((plus_plus_nat C) A))) (((eq nat) B) C)))
% 0.77/0.95 FOF formula (forall (B:int) (A:int) (C:int), (((eq Prop) (((eq int) ((plus_plus_int B) A)) ((plus_plus_int C) A))) (((eq int) B) C))) of role axiom named fact_38_add__right__cancel
% 0.77/0.95 A new axiom: (forall (B:int) (A:int) (C:int), (((eq Prop) (((eq int) ((plus_plus_int B) A)) ((plus_plus_int C) A))) (((eq int) B) C)))
% 0.77/0.95 FOF formula ((and ((ord_less_eq_nat one_one_nat) na)) ((ord_less_eq_nat one_one_nat) m)) of role axiom named fact_39__092_060open_0621_A_092_060le_062_An_A_092_060and_062_A1_A_092_060le_062_Am_092_060close_062
% 0.77/0.95 A new axiom: ((and ((ord_less_eq_nat one_one_nat) na)) ((ord_less_eq_nat one_one_nat) m))
% 0.77/0.95 FOF formula (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (X:nat) (Y:nat)=> ((vEBT_VEBT_lesseq (some_nat X)) (some_nat Y)))) of role axiom named fact_40_lesseq__shift
% 0.77/0.95 A new axiom: (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (X:nat) (Y:nat)=> ((vEBT_VEBT_lesseq (some_nat X)) (some_nat Y))))
% 0.77/0.95 FOF formula (((eq nat) m) (suc na)) of role axiom named fact_41__C5_Ohyps_C_I3_J
% 0.77/0.95 A new axiom: (((eq nat) m) (suc na))
% 0.77/0.95 FOF formula ((vEBT_invar_vebt summary) m) of role axiom named fact_42__C5_Ohyps_C_I1_J
% 0.77/0.95 A new axiom: ((vEBT_invar_vebt summary) m)
% 0.77/0.95 <<<_VEBT] :
% 0.77/0.95 ( ( member_VEBT_VEBT @ X3 @ ( set_VEBT_VEBT2 @ treeList ) )
% 0.77/0.95 => ~ ?>>>!!!<<< [X_1: nat] : ( vEBT_V8194947554948674370ptions @ X3 @ X_1 ) ) ) ).
% 0.77/0.95
% 0.77/0.95 % "5.hyps"(6)
% 0.77/0.95 thf(fac>>>
% 0.77/0.95 statestack=[0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 22, 30, 36, 43, 50, 99, 120, 187, 113, 185, 229, 265, 285, 300, 221, 120, 187, 124]
% 0.77/0.95 symstack=[$end, TPTP_file_pre, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, 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TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,153114), LexToken(LPAR,'(',1,153117), name, LexToken(COMMA,',',1,153142), formula_role, LexToken(COMMA,',',1,153148), LexToken(LPAR,'(',1,153154), thf_unitary_formula, thf_pair_connective, thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,153176), thf_variable_list, LexToken(RBRACKET,']',1,153190), LexToken(COLON,':',1,153192), LexToken(LPAR,'(',1,153202), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.77/0.95 Unexpected exception Syntax error at '?':QUESTION
% 0.77/0.95 Traceback (most recent call last):
% 0.77/0.95 File "CASC.py", line 79, in <module>
% 0.77/0.95 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.77/0.95 File "/export/starexec/sandbox/solver/bin/TPTP.py", line 38, in __init__
% 0.77/0.95 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.77/0.95 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 265, in parse
% 0.77/0.95 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.77/0.95 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.77/0.95 tok = self.errorfunc(errtoken)
% 0.77/0.95 File "/export/starexec/sandbox/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.77/0.95 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.77/0.95 TPTPparser.TPTPParsingError: Syntax error at '?':QUESTION
%------------------------------------------------------------------------------