TSTP Solution File: ITP234^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP234^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 17:47:40 EDT 2022
% Result : Unknown 0.66s 0.86s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ITP234^3 : TPTP v7.6.0. Released v7.6.0.
% 0.06/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 Computer : n019.cluster.edu
% 0.12/0.33 Model : x86_64 x86_64
% 0.12/0.33 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 RAMPerCPU : 8042.1875MB
% 0.12/0.33 OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Mar 18 11:15:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.35 Python 2.7.5
% 0.37/0.60 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x2b6988ffda70>, <kernel.Type object at 0x2b6989000758>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring set_Pr1542805901266377927at_nat:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x2b6988ffda70>, <kernel.Type object at 0x2b6989000710>) 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
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring produc4471711990508489141at_nat:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x2b6988ffdbd8>, <kernel.Type object at 0x2b6989000638>) of role type named ty_n_t__Product____Type__Oprod_It__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring produc6392793444374437607at_nat:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x2b69890003b0>, <kernel.Type object at 0x1212e18>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring list_P8469869581646625389at_nat:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x2b69890005a8>, <kernel.Type object at 0x1212dd0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring set_Pr8693737435421807431at_nat:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x2b69890005a8>, <kernel.Type object at 0x12121b8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__List__Olist_It__VEBT____Definitions__OVEBT_J_Mt__List__Olist_It__VEBT____Definitions__OVEBT_J_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring set_Pr1916528119006554503T_VEBT:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x2b69890003b0>, <kernel.Type object at 0x1212b00>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring produc859450856879609959at_nat:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x12127a0>, <kernel.Type object at 0x1212998>) of role type named ty_n_t__Product____Type__Oprod_It__List__Olist_It__VEBT____Definitions__OVEBT_J_Mt__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring produc9211091688327510695T_VEBT:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x12122d8>, <kernel.Type object at 0x12127e8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__List__Olist_It__Nat__Onat_J_Mt__List__Olist_It__Nat__Onat_J_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring set_Pr3451248702717554689st_nat:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x1212950>, <kernel.Type object at 0x12127a0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__List__Olist_It__Int__Oint_J_Mt__List__Olist_It__Int__Oint_J_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring set_Pr765067013931698361st_int:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x1212a28>, <kernel.Type object at 0x1212d88>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring list_P7413028617227757229T_VEBT:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x1212950>, <kernel.Type object at 0x12122d8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring set_Pr6192946355708809607T_VEBT:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x1212ab8>, <kernel.Type object at 0x1212a28>) 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
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring produc7248412053542808358at_nat:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x12125a8>, <kernel.Type object at 0x1212950>) of role type named ty_n_t__Product____Type__Oprod_It__List__Olist_It__Nat__Onat_J_Mt__List__Olist_It__Nat__Onat_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring produc1828647624359046049st_nat:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x1212bd8>, <kernel.Type object at 0x1212ab8>) of role type named ty_n_t__Product____Type__Oprod_It__List__Olist_It__Int__Oint_J_Mt__List__Olist_It__Int__Oint_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring produc1186641810826059865st_int:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x12123f8>, <kernel.Type object at 0x12125a8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring list_P7037539587688870467BT_nat:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x1212878>, <kernel.Type object at 0x1212bd8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring list_P4547456442757143711BT_int:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x1212368>, <kernel.Type object at 0x12123f8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring list_P5647936690300460905T_VEBT:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x1212ea8>, <kernel.Type object at 0x1212878>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__VEBT____Definitions__OVEBT_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring list_P7524865323317820941T_VEBT:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x1212cf8>, <kernel.Type object at 0x1212368>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring produc8243902056947475879T_VEBT:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x1212638>, <kernel.Type object at 0x1212ea8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring set_Pr7556676689462069481BT_nat:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x1212fc8>, <kernel.Type object at 0x1212cf8>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring option4927543243414619207at_nat:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x1212908>, <kernel.Type object at 0x1212638>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring filter1242075044329608583at_nat:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x1212c68>, <kernel.Type object at 0x1212fc8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring list_P6011104703257516679at_nat:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x1212098>, <kernel.Type object at 0x1212908>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring list_P3521021558325789923at_int:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x1212f38>, <kernel.Type object at 0x1212c68>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring list_P8198026277950538467nt_nat:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x1212518>, <kernel.Type object at 0x11ecb90>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring list_P5707943133018811711nt_int:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x1212518>, <kernel.Type object at 0x11ecab8>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.37/0.60 Using role type
% 0.37/0.60 Declaring produc9072475918466114483BT_nat:Type
% 0.37/0.60 FOF formula (<kernel.Constant object at 0x1212f38>, <kernel.Type object at 0x1212098>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring produc4894624898956917775BT_int:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x11ec9e0>, <kernel.Type object at 0x1212518>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring produc8025551001238799321T_VEBT:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x11ec9e0>, <kernel.Type object at 0x120fe18>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__VEBT____Definitions__OVEBT_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring produc1531783533982839933T_VEBT:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x11ec950>, <kernel.Type object at 0x120f1b8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring set_Pr1261947904930325089at_nat:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x11ec950>, <kernel.Type object at 0x120fc68>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring set_Pr958786334691620121nt_int:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x1212518>, <kernel.Type object at 0x120f1b8>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring set_list_VEBT_VEBT:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120f248>, <kernel.Type object at 0x120f680>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Extended____Nat__Oenat_J_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring set_li5464603477888414924d_enat:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120fc68>, <kernel.Type object at 0x120f998>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Extended____Nat__Oenat_J_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring set_se7270636423289371942d_enat:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x11ec9e0>, <kernel.Type object at 0x120f680>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring product_prod_nat_nat:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120f098>, <kernel.Type object at 0x120f908>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring product_prod_nat_int:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120ffc8>, <kernel.Type object at 0x120f638>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring product_prod_int_nat:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120f248>, <kernel.Type object at 0x120fcf8>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring product_prod_int_int:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120f098>, <kernel.Type object at 0x120f5a8>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Complex__Ocomplex_J_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring set_list_complex:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120ffc8>, <kernel.Type object at 0x120fbd8>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Complex__Ocomplex_J_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring set_set_complex:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120f248>, <kernel.Type object at 0x120f7e8>) of role type named ty_n_t__Option__Ooption_It__VEBT____Definitions__OVEBT_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring option_VEBT_VEBT:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120f098>, <kernel.Type object at 0x120fb48>) of role type named ty_n_t__Option__Ooption_It__Set__Oset_It__Nat__Onat_J_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring option_set_nat:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120ffc8>, <kernel.Type object at 0x120f488>) of role type named ty_n_t__Option__Ooption_It__Extended____Nat__Oenat_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring option_Extended_enat:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120f248>, <kernel.Type object at 0x120fab8>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring list_VEBT_VEBT:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120f098>, <kernel.Type object at 0x120f518>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring set_list_nat:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120ffc8>, <kernel.Type object at 0x120f290>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Int__Oint_J_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring set_list_int:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120f248>, <kernel.Type object at 0x120f3b0>) of role type named ty_n_t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring list_set_nat:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120f098>, <kernel.Type object at 0x120f128>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring set_VEBT_VEBT:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120ffc8>, <kernel.Type object at 0x120f3b0>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring set_set_nat:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120f128>, <kernel.Type object at 0x120e8c0>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring set_set_int:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120f3b0>, <kernel.Type object at 0x120e8c0>) of role type named ty_n_t__List__Olist_It__Extended____Nat__Oenat_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring list_Extended_enat:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120f878>, <kernel.Type object at 0x120eb00>) of role type named ty_n_t__Set__Oset_It__Product____Type__Ounit_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring set_Product_unit:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120ffc8>, <kernel.Type object at 0x120e5a8>) of role type named ty_n_t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring set_Extended_enat:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120f3b0>, <kernel.Type object at 0x120ef80>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring list_complex:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120ffc8>, <kernel.Type object at 0x120e5a8>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring set_complex:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120f878>, <kernel.Type object at 0x2b698152d248>) of role type named ty_n_t__Option__Ooption_It__Real__Oreal_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring option_real:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120f878>, <kernel.Type object at 0x2b698152d248>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring filter_real:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120e560>, <kernel.Type object at 0x2b698152d200>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring option_num:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120e7a0>, <kernel.Type object at 0x2b698152d1b8>) of role type named ty_n_t__Option__Ooption_It__Nat__Onat_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring option_nat:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120eb00>, <kernel.Type object at 0x2b698152d0e0>) of role type named ty_n_t__Option__Ooption_It__Int__Oint_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring option_int:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120e7a0>, <kernel.Type object at 0x2b698152d128>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring filter_nat:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120e560>, <kernel.Type object at 0x2b698152d050>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring set_char:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x120e560>, <kernel.Type object at 0x2b698152d098>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring list_real:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x2b698152d1b8>, <kernel.Type object at 0x2b698152d050>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring set_real:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x2b698152d170>, <kernel.Type object at 0x2b698152d320>) of role type named ty_n_t__List__Olist_It__Num__Onum_J
% 0.37/0.61 Using role type
% 0.37/0.61 Declaring list_num:Type
% 0.37/0.61 FOF formula (<kernel.Constant object at 0x2b698152d200>, <kernel.Type object at 0x2b698152d3b0>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring list_nat:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152d128>, <kernel.Type object at 0x2b698152d3f8>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring list_int:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152d1b8>, <kernel.Type object at 0x2b698152d440>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring vEBT_VEBT:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152d170>, <kernel.Type object at 0x2b698152d488>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring set_num:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152d200>, <kernel.Type object at 0x2b698152d4d0>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring set_nat:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152d128>, <kernel.Type object at 0x2b698152d518>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring set_int:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152d1b8>, <kernel.Type object at 0x2b698152d560>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring extended_enat:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152d200>, <kernel.Type object at 0x2b698152d4d0>) of role type named ty_n_t__Complex__Ocomplex
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring complex:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152d248>, <kernel.Type object at 0x2b698152d5f0>) of role type named ty_n_t__String__Ochar
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring char:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152d128>, <kernel.Type object at 0x2b698152d518>) of role type named ty_n_t__Real__Oreal
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring real:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152d200>, <kernel.Type object at 0x2b698152d638>) of role type named ty_n_t__Num__Onum
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring num:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152d248>, <kernel.Type object at 0x2b698152d680>) of role type named ty_n_t__Nat__Onat
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring nat:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152d128>, <kernel.Type object at 0x2b698152d6c8>) of role type named ty_n_t__Int__Oint
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring int:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152d128>, <kernel.DependentProduct object at 0x2b698152d878>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring archim7802044766580827645g_real:(real->int)
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152d710>, <kernel.DependentProduct object at 0x2b698152d908>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring archim6058952711729229775r_real:(real->int)
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152d878>, <kernel.DependentProduct object at 0x2b698152d998>) of role type named sy_c_Archimedean__Field_Ofrac_001t__Real__Oreal
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring archim2898591450579166408c_real:(real->real)
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152d908>, <kernel.DependentProduct object at 0x2b698152da28>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring archim8280529875227126926d_real:(real->int)
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152d998>, <kernel.Constant object at 0x2b698152d170>) of role type named sy_c_BNF__Cardinal__Order__Relation_OnatLeq
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring bNF_Ca8665028551170535155natLeq:set_Pr1261947904930325089at_nat
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152da28>, <kernel.Constant object at 0x2b698152d878>) of role type named sy_c_BNF__Cardinal__Order__Relation_OnatLess
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring bNF_Ca8459412986667044542atLess:set_Pr1261947904930325089at_nat
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152d170>, <kernel.DependentProduct object at 0x2b698152db90>) 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
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring bNF_re6830278522597306478at_int:((nat->(nat->Prop))->((product_prod_nat_nat->(int->Prop))->((nat->product_prod_nat_nat)->((nat->int)->Prop))))
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152d878>, <kernel.DependentProduct object at 0x2b698152db48>) 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
% 0.37/0.62 Using role type
% 0.37/0.62 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))))
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152db90>, <kernel.DependentProduct object at 0x2b698152de60>) 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
% 0.37/0.62 Using role type
% 0.37/0.62 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))))
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152db48>, <kernel.DependentProduct object at 0x2b698152dcf8>) 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
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring bNF_re6644619430987730960nt_o_o:((product_prod_nat_nat->(int->Prop))->((Prop->(Prop->Prop))->((product_prod_nat_nat->Prop)->((int->Prop)->Prop))))
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152de60>, <kernel.DependentProduct object at 0x2b698152de18>) 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__Nat__Onat_001t__Nat__Onat
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring bNF_re4555766996558763186at_nat:((product_prod_nat_nat->(int->Prop))->((nat->(nat->Prop))->((product_prod_nat_nat->nat)->((int->nat)->Prop))))
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152dcf8>, <kernel.DependentProduct object at 0x2b698152def0>) 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
% 0.37/0.62 Using role type
% 0.37/0.62 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))))
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152de18>, <kernel.DependentProduct object at 0x2b698152dfc8>) 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
% 0.37/0.62 Using role type
% 0.37/0.62 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))))
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b698152def0>, <kernel.DependentProduct object at 0x2b698152ddd0>) 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
% 0.37/0.62 Using role type
% 0.37/0.62 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))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b698152dfc8>, <kernel.DependentProduct object at 0x11f9128>) 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
% 0.46/0.63 Using role type
% 0.46/0.63 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))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b698152ddd0>, <kernel.DependentProduct object at 0x11f9200>) 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__Nat__Onat_001t__Nat__Onat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bNF_re8246922863344978751at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((nat->(nat->Prop))->((product_prod_nat_nat->nat)->((product_prod_nat_nat->nat)->Prop))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b698152ddd0>, <kernel.DependentProduct object at 0x11f92d8>) 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
% 0.46/0.63 Using role type
% 0.46/0.63 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))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b698152ddd0>, <kernel.DependentProduct object at 0x11f9290>) of role type named sy_c_BNF__Wellorder__Relation_Owo__rel_001t__Nat__Onat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bNF_We3818239936649020644el_nat:(set_Pr1261947904930325089at_nat->Prop)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b698152dd40>, <kernel.DependentProduct object at 0x11f9098>) of role type named sy_c_Binomial_Obinomial
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring binomial:(nat->(nat->nat))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b698152ddd0>, <kernel.DependentProduct object at 0x11f9320>) of role type named sy_c_Binomial_Ogbinomial_001t__Complex__Ocomplex
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring gbinomial_complex:(complex->(nat->complex))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b698152ddd0>, <kernel.DependentProduct object at 0x11f9200>) of role type named sy_c_Binomial_Ogbinomial_001t__Int__Oint
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring gbinomial_int:(int->(nat->int))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f90e0>, <kernel.DependentProduct object at 0x11f9170>) of role type named sy_c_Binomial_Ogbinomial_001t__Nat__Onat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring gbinomial_nat:(nat->(nat->nat))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f9248>, <kernel.DependentProduct object at 0x11f92d8>) of role type named sy_c_Binomial_Ogbinomial_001t__Real__Oreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring gbinomial_real:(real->(nat->real))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f9128>, <kernel.DependentProduct object at 0x11f9248>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f9290>, <kernel.DependentProduct object at 0x11f92d8>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f90e0>, <kernel.DependentProduct object at 0x11f9128>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f9290>, <kernel.DependentProduct object at 0x11f90e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f9128>, <kernel.DependentProduct object at 0x11f9290>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f90e0>, <kernel.DependentProduct object at 0x11f9128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f9290>, <kernel.DependentProduct object at 0x11f90e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f9128>, <kernel.DependentProduct object at 0x11f9290>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f90e0>, <kernel.DependentProduct object at 0x11f9128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f9290>, <kernel.DependentProduct object at 0x11f9518>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f9128>, <kernel.DependentProduct object at 0x11f9950>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f9518>, <kernel.DependentProduct object at 0x11f9128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f9950>, <kernel.DependentProduct object at 0x11f9518>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f9128>, <kernel.DependentProduct object at 0x11f9950>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f9518>, <kernel.DependentProduct object at 0x11f9128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f9950>, <kernel.DependentProduct object at 0x11f9518>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f9128>, <kernel.DependentProduct object at 0x11f9950>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f9518>, <kernel.DependentProduct object at 0x11f9128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x11f9950>, <kernel.DependentProduct object at 0x11f9518>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11f9128>, <kernel.DependentProduct object at 0x11f9950>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11f9518>, <kernel.DependentProduct object at 0x11f9128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11f9950>, <kernel.DependentProduct object at 0x11f9518>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11f9128>, <kernel.DependentProduct object at 0x11f9950>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11f9fc8>, <kernel.DependentProduct object at 0x11f9368>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11f9128>, <kernel.DependentProduct object at 0x11fc050>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Extended____Nat__Oenat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring comple2295165028678016749d_enat:(set_Extended_enat->extended_enat)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11f9950>, <kernel.DependentProduct object at 0x11fc1b8>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Nat__Onat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring complete_Inf_Inf_nat:(set_nat->nat)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11f9128>, <kernel.DependentProduct object at 0x11fc200>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring comple7806235888213564991et_nat:(set_set_nat->set_nat)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc0e0>, <kernel.DependentProduct object at 0x11fc290>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Extended____Nat__Oenat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring comple4398354569131411667d_enat:(set_Extended_enat->extended_enat)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11f9368>, <kernel.DependentProduct object at 0x11fc320>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Nat__Onat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring complete_Sup_Sup_nat:(set_nat->nat)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc1b8>, <kernel.DependentProduct object at 0x11fc368>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring comple7399068483239264473et_nat:(set_set_nat->set_nat)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc050>, <kernel.DependentProduct object at 0x11fc3f8>) of role type named sy_c_Complex_OArg
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring arg:(complex->real)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc368>, <kernel.DependentProduct object at 0x11fc440>) of role type named sy_c_Complex_Ocis
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring cis:(real->complex)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc050>, <kernel.DependentProduct object at 0x11fc320>) of role type named sy_c_Conditionally__Complete__Lattices_Opreorder__class_Obdd__above_001t__Nat__Onat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring condit2214826472909112428ve_nat:(set_nat->Prop)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc440>, <kernel.DependentProduct object at 0x11fc368>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc560>, <kernel.DependentProduct object at 0x11fc320>) of role type named sy_c_Divides_Odivmod__nat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc440>, <kernel.DependentProduct object at 0x11fc638>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc320>, <kernel.DependentProduct object at 0x11fc290>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc638>, <kernel.DependentProduct object at 0x11fc320>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc290>, <kernel.DependentProduct object at 0x11fc638>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc320>, <kernel.DependentProduct object at 0x11fc290>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc638>, <kernel.DependentProduct object at 0x11fc320>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc440>, <kernel.DependentProduct object at 0x11fc710>) of role type named sy_c_Extended__Nat_OeSuc
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring extended_eSuc:(extended_enat->extended_enat)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc830>, <kernel.DependentProduct object at 0x11fc998>) of role type named sy_c_Extended__Nat_Oenat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring extended_enat2:(nat->extended_enat)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc8c0>, <kernel.DependentProduct object at 0x11fc320>) of role type named sy_c_Extended__Nat_Oenat_Ocase__enat_001_Eo
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring extended_case_enat_o:((nat->Prop)->(Prop->(extended_enat->Prop)))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc830>, <kernel.DependentProduct object at 0x11fc9e0>) of role type named sy_c_Extended__Nat_Oenat_Ocase__enat_001t__Extended____Nat__Oenat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring extend3600170679010898289d_enat:((nat->extended_enat)->(extended_enat->(extended_enat->extended_enat)))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc320>, <kernel.Constant object at 0x11fc998>) of role type named sy_c_Extended__Nat_Oinfinity__class_Oinfinity_001t__Extended____Nat__Oenat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring extend5688581933313929465d_enat:extended_enat
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc9e0>, <kernel.DependentProduct object at 0x11fc320>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Complex__Ocomplex
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring comm_s2602460028002588243omplex:(complex->(nat->complex))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc998>, <kernel.DependentProduct object at 0x11fc9e0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Extended____Nat__Oenat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring comm_s3181272606743183617d_enat:(extended_enat->(nat->extended_enat))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc320>, <kernel.DependentProduct object at 0x11fc998>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Int__Oint
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring comm_s4660882817536571857er_int:(int->(nat->int))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x11fc9e0>, <kernel.DependentProduct object at 0x11fc320>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring comm_s4663373288045622133er_nat:(nat->(nat->nat))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x11fc998>, <kernel.DependentProduct object at 0x11fc9e0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Real__Oreal
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring comm_s7457072308508201937r_real:(real->(nat->real))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x11fc320>, <kernel.DependentProduct object at 0x11fca70>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x11fc9e0>, <kernel.DependentProduct object at 0x11fcea8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Extended____Nat__Oenat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring semiri4449623510593786356d_enat:(nat->extended_enat)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x11fca70>, <kernel.DependentProduct object at 0x11fcf38>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring semiri1406184849735516958ct_int:(nat->int)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x11fcea8>, <kernel.DependentProduct object at 0x11fcfc8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x11fcf38>, <kernel.DependentProduct object at 0x1203098>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x11fc710>, <kernel.DependentProduct object at 0x1203128>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring inverse_inverse_real:(real->real)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x11fcea8>, <kernel.Constant object at 0x11fcf80>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring at_bot_real:filter_real
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x11fc248>, <kernel.Constant object at 0x1203128>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring at_top_nat:filter_nat
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x11fcea8>, <kernel.Constant object at 0x1203098>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring at_top_real:filter_real
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x11fc248>, <kernel.DependentProduct object at 0x1203050>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1203098>, <kernel.DependentProduct object at 0x1203170>) of role type named sy_c_Filter_Oeventually_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring eventu1038000079068216329at_nat:((product_prod_nat_nat->Prop)->(filter1242075044329608583at_nat->Prop))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x11fcea8>, <kernel.DependentProduct object at 0x1203170>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1203368>, <kernel.DependentProduct object at 0x1203290>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x12033f8>, <kernel.DependentProduct object at 0x12030e0>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1203440>, <kernel.DependentProduct object at 0x1203368>) of role type named sy_c_Filter_Oprod__filter_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring prod_filter_nat_nat:(filter_nat->(filter_nat->filter1242075044329608583at_nat))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1203488>, <kernel.DependentProduct object at 0x12033b0>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring finite_card_complex:(set_complex->nat)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x12031b8>, <kernel.DependentProduct object at 0x1203290>) of role type named sy_c_Finite__Set_Ocard_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring finite_card_int:(set_int->nat)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1203128>, <kernel.DependentProduct object at 0x12034d0>) of role type named sy_c_Finite__Set_Ocard_001t__List__Olist_It__Nat__Onat_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring finite_card_list_nat:(set_list_nat->nat)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1203368>, <kernel.DependentProduct object at 0x1203518>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring finite_card_nat:(set_nat->nat)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1203128>, <kernel.DependentProduct object at 0x1203560>) of role type named sy_c_Finite__Set_Ocard_001t__Product____Type__Ounit
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring finite410649719033368117t_unit:(set_Product_unit->nat)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x12033b0>, <kernel.DependentProduct object at 0x12035f0>) of role type named sy_c_Finite__Set_Ocard_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring finite_card_set_nat:(set_set_nat->nat)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1203128>, <kernel.DependentProduct object at 0x1203518>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x12035f0>, <kernel.DependentProduct object at 0x1203680>) of role type named sy_c_Finite__Set_Ofinite_001t__Extended____Nat__Oenat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring finite4001608067531595151d_enat:(set_Extended_enat->Prop)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1203128>, <kernel.DependentProduct object at 0x1203710>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring finite_finite_int:(set_int->Prop)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x12035f0>, <kernel.DependentProduct object at 0x1203758>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Complex__Ocomplex_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring finite8712137658972009173omplex:(set_list_complex->Prop)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1203710>, <kernel.DependentProduct object at 0x12037e8>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Extended____Nat__Oenat_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring finite1862508098717546133d_enat:(set_li5464603477888414924d_enat->Prop)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1203758>, <kernel.DependentProduct object at 0x1203878>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Int__Oint_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring finite3922522038869484883st_int:(set_list_int->Prop)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x12037e8>, <kernel.DependentProduct object at 0x1203908>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Nat__Onat_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring finite8100373058378681591st_nat:(set_list_nat->Prop)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1203878>, <kernel.DependentProduct object at 0x1203998>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring finite3004134309566078307T_VEBT:(set_list_VEBT_VEBT->Prop)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x12037e8>, <kernel.DependentProduct object at 0x1203a28>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring finite_finite_nat:(set_nat->Prop)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1203908>, <kernel.DependentProduct object at 0x1203a70>) of role type named sy_c_Finite__Set_Ofinite_001t__Real__Oreal
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring finite_finite_real:(set_real->Prop)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x12037e8>, <kernel.DependentProduct object at 0x1203ab8>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring finite6551019134538273531omplex:(set_set_complex->Prop)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1203a70>, <kernel.DependentProduct object at 0x1203b48>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring finite5468666774076196335d_enat:(set_se7270636423289371942d_enat->Prop)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1203ab8>, <kernel.DependentProduct object at 0x1203bd8>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Int__Oint_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring finite6197958912794628473et_int:(set_set_int->Prop)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1203b48>, <kernel.DependentProduct object at 0x1203c68>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring finite1152437895449049373et_nat:(set_set_nat->Prop)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1203bd8>, <kernel.DependentProduct object at 0x1203cf8>) of role type named sy_c_Finite__Set_Ofinite_001t__VEBT____Definitions__OVEBT
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring finite5795047828879050333T_VEBT:(set_VEBT_VEBT->Prop)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1203c68>, <kernel.DependentProduct object at 0x1203b48>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1203e18>, <kernel.DependentProduct object at 0x1203cb0>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1203e60>, <kernel.DependentProduct object at 0x1203bd8>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1203f38>, <kernel.DependentProduct object at 0x1203ef0>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring comp_int_nat_int:((int->nat)->((int->int)->(int->nat)))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1203f80>, <kernel.DependentProduct object at 0x1203e18>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring comp_nat_nat_nat:((nat->nat)->((nat->nat)->(nat->nat)))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1203fc8>, <kernel.DependentProduct object at 0x1203c68>) of role type named sy_c_Fun_Oid_001_Eo
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring id_o:(Prop->Prop)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1203248>, <kernel.DependentProduct object at 0x1205098>) of role type named sy_c_Fun_Oid_001t__Nat__Onat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring id_nat:(nat->nat)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1203c20>, <kernel.DependentProduct object at 0x1203ef0>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring inj_on_nat_nat:((nat->nat)->(set_nat->Prop))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1203248>, <kernel.DependentProduct object at 0x1203cb0>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__String__Ochar
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring inj_on_nat_char:((nat->char)->(set_nat->Prop))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1203ef0>, <kernel.DependentProduct object at 0x1205050>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring inj_on_real_real:((real->real)->(set_real->Prop))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1203c20>, <kernel.DependentProduct object at 0x1205050>) of role type named sy_c_Fun_Oinj__on_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring inj_on_set_nat_nat:((set_nat->nat)->(set_set_nat->Prop))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1203ef0>, <kernel.DependentProduct object at 0x12050e0>) 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_M_Eo_J_001_062_It__Int__Oint_M_Eo_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring map_fu434086159418415080_int_o:((int->product_prod_nat_nat)->(((product_prod_nat_nat->Prop)->(int->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(int->(int->Prop)))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1203ef0>, <kernel.DependentProduct object at 0x12051b8>) 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
% 0.46/0.66 Using role type
% 0.46/0.66 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)))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1203248>, <kernel.DependentProduct object at 0x1205320>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo_001_Eo
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring map_fu4826362097070443709at_o_o:((int->product_prod_nat_nat)->((Prop->Prop)->((product_prod_nat_nat->Prop)->(int->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1205248>, <kernel.DependentProduct object at 0x12053f8>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring map_fu2345160673673942751at_nat:((int->product_prod_nat_nat)->((nat->nat)->((product_prod_nat_nat->nat)->(int->nat))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x12051b8>, <kernel.DependentProduct object at 0x12054d0>) 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
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring map_fu3667384564859982768at_int:((int->product_prod_nat_nat)->((product_prod_nat_nat->int)->((product_prod_nat_nat->product_prod_nat_nat)->(int->int))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x12052d8>, <kernel.DependentProduct object at 0x1205248>) of role type named sy_c_Fun_Ostrict__mono__on_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring strict1292158309912662752at_nat:((nat->nat)->(set_nat->Prop))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1205098>, <kernel.DependentProduct object at 0x1205170>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1205518>, <kernel.DependentProduct object at 0x12051b8>) of role type named sy_c_Fun__Def_Ois__measure_001t__Int__Oint
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring fun_is_measure_int:((int->nat)->Prop)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x12053b0>, <kernel.Constant object at 0x1205488>) of role type named sy_c_Fun__Def_Opair__leq
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring fun_pair_leq:set_Pr8693737435421807431at_nat
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1205170>, <kernel.Constant object at 0x12055f0>) of role type named sy_c_Fun__Def_Opair__less
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring fun_pair_less:set_Pr8693737435421807431at_nat
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x12052d8>, <kernel.DependentProduct object at 0x1205638>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Nat__Onat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring gcd_Gcd_nat:(set_nat->nat)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x12051b8>, <kernel.DependentProduct object at 0x1205170>) of role type named sy_c_GCD_Obezw
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bezw:(nat->(nat->product_prod_int_int))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1205680>, <kernel.DependentProduct object at 0x12052d8>) of role type named sy_c_GCD_Obezw__rel
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bezw_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1205560>, <kernel.DependentProduct object at 0x12056c8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring abs_abs_complex:(complex->complex)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205638>, <kernel.DependentProduct object at 0x1205758>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring abs_abs_int:(int->int)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205710>, <kernel.DependentProduct object at 0x12057a0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring abs_abs_real:(real->real)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205638>, <kernel.DependentProduct object at 0x1205830>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Extended____Nat__Oenat_M_Eo_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring minus_2020553357622893040enat_o:((extended_enat->Prop)->((extended_enat->Prop)->(extended_enat->Prop)))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x12057e8>, <kernel.DependentProduct object at 0x1205878>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Int__Oint_M_Eo_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring minus_minus_int_o:((int->Prop)->((int->Prop)->(int->Prop)))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205638>, <kernel.DependentProduct object at 0x1205950>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring minus_1139252259498527702_nat_o:((list_nat->Prop)->((list_nat->Prop)->(list_nat->Prop)))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205830>, <kernel.DependentProduct object at 0x1205908>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Nat__Onat_M_Eo_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring minus_minus_nat_o:((nat->Prop)->((nat->Prop)->(nat->Prop)))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205998>, <kernel.DependentProduct object at 0x1205a28>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Real__Oreal_M_Eo_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring minus_minus_real_o:((real->Prop)->((real->Prop)->(real->Prop)))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205830>, <kernel.DependentProduct object at 0x1205a70>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring minus_6910147592129066416_nat_o:((set_nat->Prop)->((set_nat->Prop)->(set_nat->Prop)))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205908>, <kernel.DependentProduct object at 0x1205a28>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205830>, <kernel.DependentProduct object at 0x1205908>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Extended____Nat__Oenat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring minus_3235023915231533773d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x12059e0>, <kernel.DependentProduct object at 0x1205a28>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring minus_minus_int:(int->(int->int))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205ab8>, <kernel.DependentProduct object at 0x1205830>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205b90>, <kernel.DependentProduct object at 0x12059e0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring minus_minus_real:(real->(real->real))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205ab8>, <kernel.DependentProduct object at 0x1205b90>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x12059e0>, <kernel.DependentProduct object at 0x1205ab8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring minus_925952699566721837d_enat:(set_Extended_enat->(set_Extended_enat->set_Extended_enat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205a70>, <kernel.DependentProduct object at 0x1205b90>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x12059e0>, <kernel.DependentProduct object at 0x1205a70>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring minus_7954133019191499631st_nat:(set_list_nat->(set_list_nat->set_list_nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205d88>, <kernel.DependentProduct object at 0x1205b90>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205950>, <kernel.DependentProduct object at 0x12059e0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205d88>, <kernel.DependentProduct object at 0x1205950>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring minus_2163939370556025621et_nat:(set_set_nat->(set_set_nat->set_set_nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205ab8>, <kernel.Constant object at 0x1205950>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring one_one_complex:complex
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205d88>, <kernel.Constant object at 0x1205b90>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205f38>, <kernel.Constant object at 0x1205b90>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring one_one_int:int
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205e60>, <kernel.Constant object at 0x1205b90>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring one_one_nat:nat
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205f80>, <kernel.Constant object at 0x1205b90>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring one_one_real:real
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205fc8>, <kernel.DependentProduct object at 0x1205e18>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205fc8>, <kernel.DependentProduct object at 0x2b69815371b8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205e18>, <kernel.DependentProduct object at 0x2b6981537170>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring plus_plus_int:(int->(int->int))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205b90>, <kernel.DependentProduct object at 0x2b6981537290>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205e18>, <kernel.DependentProduct object at 0x2b6981537098>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring plus_plus_num:(num->(num->num))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205b90>, <kernel.DependentProduct object at 0x2b69815371b8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring plus_plus_real:(real->(real->real))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1205b90>, <kernel.DependentProduct object at 0x2b69815370e0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.46/0.67 Using role type
% 0.46/0.68 Declaring sgn_sgn_complex:(complex->complex)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537290>, <kernel.DependentProduct object at 0x2b6981537128>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring sgn_sgn_int:(int->int)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537098>, <kernel.DependentProduct object at 0x2b69815373b0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring sgn_sgn_real:(real->real)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b69815371b8>, <kernel.DependentProduct object at 0x2b6981537290>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring times_times_complex:(complex->(complex->complex))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537098>, <kernel.DependentProduct object at 0x2b69815371b8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537440>, <kernel.DependentProduct object at 0x2b6981537290>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring times_times_int:(int->(int->int))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b69815373f8>, <kernel.DependentProduct object at 0x2b6981537098>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring times_times_nat:(nat->(nat->nat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537518>, <kernel.DependentProduct object at 0x2b6981537440>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring times_times_real:(real->(real->real))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b69815373f8>, <kernel.DependentProduct object at 0x2b6981537518>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Extended____Nat__Oenat_M_Eo_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring uminus6636779312473996640enat_o:((extended_enat->Prop)->(extended_enat->Prop))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537290>, <kernel.DependentProduct object at 0x2b6981537440>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Int__Oint_M_Eo_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring uminus_uminus_int_o:((int->Prop)->(int->Prop))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b69815373f8>, <kernel.DependentProduct object at 0x2b6981537290>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring uminus5770388063884162150_nat_o:((list_nat->Prop)->(list_nat->Prop))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b69815373b0>, <kernel.DependentProduct object at 0x2b6981537440>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Nat__Onat_M_Eo_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring uminus_uminus_nat_o:((nat->Prop)->(nat->Prop))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537290>, <kernel.DependentProduct object at 0x2b69815373f8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Real__Oreal_M_Eo_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring uminus_uminus_real_o:((real->Prop)->(real->Prop))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b69815373b0>, <kernel.DependentProduct object at 0x2b6981537290>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring uminus6401447641752708672_nat_o:((set_nat->Prop)->(set_nat->Prop))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b69815373f8>, <kernel.DependentProduct object at 0x2b6981537830>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537638>, <kernel.DependentProduct object at 0x2b69815378c0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring uminus_uminus_int:(int->int)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537440>, <kernel.DependentProduct object at 0x2b6981537908>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring uminus_uminus_real:(real->real)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537638>, <kernel.DependentProduct object at 0x2b6981537950>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring uminus417252749190364093d_enat:(set_Extended_enat->set_Extended_enat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537908>, <kernel.DependentProduct object at 0x2b69815379e0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Int__Oint_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring uminus1532241313380277803et_int:(set_int->set_int)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537950>, <kernel.DependentProduct object at 0x2b6981537a70>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring uminus3195874150345416415st_nat:(set_list_nat->set_list_nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b69815379e0>, <kernel.DependentProduct object at 0x2b6981537b00>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537a70>, <kernel.DependentProduct object at 0x2b6981537b90>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Real__Oreal_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring uminus612125837232591019t_real:(set_real->set_real)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537b00>, <kernel.DependentProduct object at 0x2b6981537c20>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring uminus613421341184616069et_nat:(set_set_nat->set_set_nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537710>, <kernel.Constant object at 0x2b6981537c20>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring zero_zero_complex:complex
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537b00>, <kernel.Constant object at 0x2b6981537b48>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537a70>, <kernel.Constant object at 0x2b6981537b48>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring zero_zero_int:int
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537cb0>, <kernel.Constant object at 0x2b6981537b48>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring zero_zero_nat:nat
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537cf8>, <kernel.Constant object at 0x2b6981537b48>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring zero_zero_real:real
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537cb0>, <kernel.DependentProduct object at 0x2b6981537d40>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537b48>, <kernel.DependentProduct object at 0x2b6981537cf8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Extended____Nat__Oenat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring groups1752964319039525884d_enat:((complex->extended_enat)->(set_complex->extended_enat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537d40>, <kernel.DependentProduct object at 0x2b6981537cb0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b6981537cf8>, <kernel.DependentProduct object at 0x2b6981537b48>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b6981537cb0>, <kernel.DependentProduct object at 0x2b6981537bd8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b6981537cb0>, <kernel.DependentProduct object at 0x2b698153d098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Extended____Nat__Oenat_001t__Complex__Ocomplex
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups6818542070133387226omplex:((extended_enat->complex)->(set_Extended_enat->complex))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b6981537cb0>, <kernel.DependentProduct object at 0x2b698153d050>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Extended____Nat__Oenat_001t__Extended____Nat__Oenat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups2433450451889696826d_enat:((extended_enat->extended_enat)->(set_Extended_enat->extended_enat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b6981537cf8>, <kernel.DependentProduct object at 0x2b698153d098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Extended____Nat__Oenat_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups2025484359314973016at_int:((extended_enat->int)->(set_Extended_enat->int))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d200>, <kernel.DependentProduct object at 0x2b698153d248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Extended____Nat__Oenat_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups2027974829824023292at_nat:((extended_enat->nat)->(set_Extended_enat->nat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d2d8>, <kernel.DependentProduct object at 0x2b698153d1b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Extended____Nat__Oenat_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups4148127829035722712t_real:((extended_enat->real)->(set_Extended_enat->real))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d290>, <kernel.DependentProduct object at 0x2b698153d200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Extended____Nat__Oenat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups4225252721152677374d_enat:((int->extended_enat)->(set_int->extended_enat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d368>, <kernel.DependentProduct object at 0x2b698153d3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d290>, <kernel.DependentProduct object at 0x2b698153d2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d3f8>, <kernel.DependentProduct object at 0x2b698153d368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d2d8>, <kernel.DependentProduct object at 0x2b698153d290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d368>, <kernel.DependentProduct object at 0x2b698153d3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Extended____Nat__Oenat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups7108830773950497114d_enat:((nat->extended_enat)->(set_nat->extended_enat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d290>, <kernel.DependentProduct object at 0x2b698153d2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d3f8>, <kernel.DependentProduct object at 0x2b698153d368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d2d8>, <kernel.DependentProduct object at 0x2b698153d290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d368>, <kernel.DependentProduct object at 0x2b698153d200>) 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
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups977919841031483927at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->nat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d290>, <kernel.DependentProduct object at 0x2b698153d170>) 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__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups4567486121110086003t_real:((product_prod_nat_nat->real)->(set_Pr1261947904930325089at_nat->real))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d200>, <kernel.DependentProduct object at 0x2b698153d3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups5754745047067104278omplex:((real->complex)->(set_real->complex))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d170>, <kernel.DependentProduct object at 0x2b698153d290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Extended____Nat__Oenat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups2800946370649118462d_enat:((real->extended_enat)->(set_real->extended_enat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d3f8>, <kernel.DependentProduct object at 0x2b698153d200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups1932886352136224148al_int:((real->int)->(set_real->int))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d290>, <kernel.DependentProduct object at 0x2b698153d170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d200>, <kernel.DependentProduct object at 0x2b698153d3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d170>, <kernel.DependentProduct object at 0x2b698153d290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups8292507037921071086at_int:((set_nat->int)->(set_set_nat->int))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d3f8>, <kernel.DependentProduct object at 0x2b698153d200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups8294997508430121362at_nat:((set_nat->nat)->(set_set_nat->nat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d290>, <kernel.DependentProduct object at 0x2b698153d170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring groups5107569545109728110t_real:((set_nat->real)->(set_set_nat->real))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b698153d200>, <kernel.DependentProduct object at 0x2b698153d3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups771621172384141258BT_nat:((vEBT_VEBT->nat)->(set_VEBT_VEBT->nat))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b698153d170>, <kernel.DependentProduct object at 0x2b698153d290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups3708469109370488835omplex:((complex->complex)->(set_complex->complex))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b698153d3f8>, <kernel.DependentProduct object at 0x2b698153d200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Extended____Nat__Oenat
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups8780218893797010257d_enat:((complex->extended_enat)->(set_complex->extended_enat))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b698153d290>, <kernel.DependentProduct object at 0x2b698153d998>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Int__Oint
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups858564598930262913ex_int:((complex->int)->(set_complex->int))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b698153d290>, <kernel.DependentProduct object at 0x2b6981540098>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups861055069439313189ex_nat:((complex->nat)->(set_complex->nat))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b698153d290>, <kernel.DependentProduct object at 0x2b6981540128>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups766887009212190081x_real:((complex->real)->(set_complex->real))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b698153d3f8>, <kernel.DependentProduct object at 0x2b6981540170>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Extended____Nat__Oenat_001t__Complex__Ocomplex
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups4622424608036095791omplex:((extended_enat->complex)->(set_Extended_enat->complex))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b6981540128>, <kernel.DependentProduct object at 0x2b6981540248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Extended____Nat__Oenat_001t__Extended____Nat__Oenat
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups8932437906259616549d_enat:((extended_enat->extended_enat)->(set_Extended_enat->extended_enat))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b69815402d8>, <kernel.DependentProduct object at 0x2b69815401b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Extended____Nat__Oenat_001t__Int__Oint
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups2878480467620962989at_int:((extended_enat->int)->(set_Extended_enat->int))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b6981540170>, <kernel.DependentProduct object at 0x2b6981540128>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Extended____Nat__Oenat_001t__Nat__Onat
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups2880970938130013265at_nat:((extended_enat->nat)->(set_Extended_enat->nat))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b6981540368>, <kernel.DependentProduct object at 0x2b69815403f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Extended____Nat__Oenat_001t__Real__Oreal
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups97031904164794029t_real:((extended_enat->real)->(set_Extended_enat->real))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b6981540170>, <kernel.DependentProduct object at 0x2b69815402d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Complex__Ocomplex
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups7440179247065528705omplex:((int->complex)->(set_int->complex))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b69815403f8>, <kernel.DependentProduct object at 0x2b6981540368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Extended____Nat__Oenat
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups5078248829458667347d_enat:((int->extended_enat)->(set_int->extended_enat))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b69815402d8>, <kernel.DependentProduct object at 0x2b6981540170>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b6981540368>, <kernel.DependentProduct object at 0x2b69815403f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Nat__Onat
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups1707563613775114915nt_nat:((int->nat)->(set_int->nat))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b6981540170>, <kernel.DependentProduct object at 0x2b69815402d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Real__Oreal
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups2316167850115554303t_real:((int->real)->(set_int->real))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b69815403f8>, <kernel.DependentProduct object at 0x2b6981540368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups6464643781859351333omplex:((nat->complex)->(set_nat->complex))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b69815402d8>, <kernel.DependentProduct object at 0x2b6981540170>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Extended____Nat__Oenat
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups7961826882256487087d_enat:((nat->extended_enat)->(set_nat->extended_enat))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b6981540368>, <kernel.DependentProduct object at 0x2b69815403f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b6981540170>, <kernel.DependentProduct object at 0x2b69815402d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b69815403f8>, <kernel.DependentProduct object at 0x2b6981540368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Real__Oreal
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups129246275422532515t_real:((nat->real)->(set_nat->real))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b69815402d8>, <kernel.DependentProduct object at 0x2b6981540290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups4075276357253098568at_int:((product_prod_nat_nat->int)->(set_Pr1261947904930325089at_nat->int))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b6981540368>, <kernel.DependentProduct object at 0x2b6981540128>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups4077766827762148844at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->nat))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b6981540290>, <kernel.DependentProduct object at 0x2b6981540170>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups713298508707869441omplex:((real->complex)->(set_real->complex))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b6981540128>, <kernel.DependentProduct object at 0x2b6981540368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Extended____Nat__Oenat
% 0.52/0.70 Using role type
% 0.52/0.70 Declaring groups7973222482632965587d_enat:((real->extended_enat)->(set_real->extended_enat))
% 0.52/0.70 FOF formula (<kernel.Constant object at 0x2b6981540170>, <kernel.DependentProduct object at 0x2b6981540290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Int__Oint
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring groups4694064378042380927al_int:((real->int)->(set_real->int))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981540368>, <kernel.DependentProduct object at 0x2b6981540128>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Nat__Onat
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring groups4696554848551431203al_nat:((real->nat)->(set_real->nat))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981540290>, <kernel.DependentProduct object at 0x2b6981540170>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Real__Oreal
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring groups1681761925125756287l_real:((real->real)->(set_real->real))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981540128>, <kernel.DependentProduct object at 0x2b6981540368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Set__Oset_It__Nat__Onat_J_001t__Real__Oreal
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring groups3619160379726066777t_real:((set_nat->real)->(set_set_nat->real))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981540170>, <kernel.DependentProduct object at 0x2b6981540ef0>) of role type named sy_c_Groups__List_Omonoid__add__class_Osum__list_001t__Nat__Onat
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring groups4561878855575611511st_nat:(list_nat->nat)
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981540290>, <kernel.DependentProduct object at 0x2b6981540f38>) of role type named sy_c_If_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring if_int_int:(Prop->((int->int)->((int->int)->(int->int))))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981540320>, <kernel.DependentProduct object at 0x2b6981541098>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981540290>, <kernel.DependentProduct object at 0x2b6981541098>) of role type named sy_c_If_001t__Extended____Nat__Oenat
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring if_Extended_enat:(Prop->(extended_enat->(extended_enat->extended_enat)))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981540170>, <kernel.DependentProduct object at 0x2b6981541170>) of role type named sy_c_If_001t__Int__Oint
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring if_int:(Prop->(int->(int->int)))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981540f38>, <kernel.DependentProduct object at 0x2b6981541050>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981540290>, <kernel.DependentProduct object at 0x2b6981541128>) of role type named sy_c_If_001t__List__Olist_It__Nat__Onat_J
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring if_list_nat:(Prop->(list_nat->(list_nat->list_nat)))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981540f38>, <kernel.DependentProduct object at 0x2b6981541128>) of role type named sy_c_If_001t__Nat__Onat
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981540290>, <kernel.DependentProduct object at 0x2b6981541128>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b69815412d8>, <kernel.DependentProduct object at 0x2b6981541050>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981541128>, <kernel.DependentProduct object at 0x2b6981541098>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981540f38>, <kernel.DependentProduct object at 0x2b6981541098>) of role type named sy_c_If_001t__Real__Oreal
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring if_real:(Prop->(real->(real->real)))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b69815413b0>, <kernel.DependentProduct object at 0x2b6981541098>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981541488>, <kernel.DependentProduct object at 0x2b6981541098>) of role type named sy_c_If_001t__Set__Oset_It__Nat__Onat_J
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring if_set_nat:(Prop->(set_nat->(set_nat->set_nat)))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b69815414d0>, <kernel.DependentProduct object at 0x2b6981541098>) of role type named sy_c_If_001t__VEBT____Definitions__OVEBT
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring if_VEBT_VEBT:(Prop->(vEBT_VEBT->(vEBT_VEBT->vEBT_VEBT)))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981541488>, <kernel.DependentProduct object at 0x2b69815414d0>) of role type named sy_c_Infinite__Set_Owellorder__class_Oenumerate_001t__Nat__Onat
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring infini8530281810654367211te_nat:(set_nat->(nat->nat))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981541560>, <kernel.DependentProduct object at 0x2b6981541518>) of role type named sy_c_Int_OAbs__Integ
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring abs_Integ:(product_prod_nat_nat->int)
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981541128>, <kernel.DependentProduct object at 0x2b69815415a8>) of role type named sy_c_Int_ORep__Integ
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring rep_Integ:(int->product_prod_nat_nat)
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981541170>, <kernel.DependentProduct object at 0x2b6981541128>) of role type named sy_c_Int_Oint__ge__less__than
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring int_ge_less_than:(int->set_Pr958786334691620121nt_int)
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b69815413b0>, <kernel.DependentProduct object at 0x2b69815415a8>) of role type named sy_c_Int_Oint__ge__less__than2
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring int_ge_less_than2:(int->set_Pr958786334691620121nt_int)
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981541098>, <kernel.DependentProduct object at 0x2b6981541560>) of role type named sy_c_Int_Ointrel
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring intrel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981541128>, <kernel.DependentProduct object at 0x2b6981541638>) of role type named sy_c_Int_Onat
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring nat2:(int->nat)
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b69815414d0>, <kernel.DependentProduct object at 0x2b6981541098>) of role type named sy_c_Int_Opcr__int
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring pcr_int:(product_prod_nat_nat->(int->Prop))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981541128>, <kernel.DependentProduct object at 0x2b6981541710>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b69815416c8>, <kernel.DependentProduct object at 0x2b69815417e8>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring ring_1_of_int_int:(int->int)
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981541638>, <kernel.DependentProduct object at 0x2b6981541830>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring ring_1_of_int_real:(int->real)
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981541758>, <kernel.DependentProduct object at 0x2b69815416c8>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Int__Oint
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring inf_inf_int:(int->(int->int))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981541878>, <kernel.DependentProduct object at 0x2b6981541638>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Nat__Onat
% 0.52/0.71 Using role type
% 0.52/0.71 Declaring inf_inf_nat:(nat->(nat->nat))
% 0.52/0.71 FOF formula (<kernel.Constant object at 0x2b6981541758>, <kernel.DependentProduct object at 0x2b6981541830>) 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
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring inf_in2572325071724192079at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b6981541638>, <kernel.DependentProduct object at 0x2b6981541878>) of role type named sy_c_Lattices_Osemilattice__neutr__order_001t__Nat__Onat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring semila1623282765462674594er_nat:((nat->(nat->nat))->(nat->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b69815419e0>, <kernel.DependentProduct object at 0x2b6981541830>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Int__Oint
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring sup_sup_int:(int->(int->int))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b6981541a70>, <kernel.DependentProduct object at 0x2b6981541638>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring sup_sup_nat:(nat->(nat->nat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b6981541b00>, <kernel.DependentProduct object at 0x2b69815419e0>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring sup_sup_set_nat:(set_nat->(set_nat->set_nat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b6981541a70>, <kernel.DependentProduct object at 0x2b6981541a28>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Extended____Nat__Oenat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring lattic921264341876707157d_enat:(set_Extended_enat->extended_enat)
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b69815419e0>, <kernel.DependentProduct object at 0x2b6981541b48>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b6981541a28>, <kernel.DependentProduct object at 0x2b6981541998>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Complex__Ocomplex_001t__Extended____Nat__Oenat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring lattic7796887085614042845d_enat:((complex->extended_enat)->(set_complex->complex))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b6981541b48>, <kernel.DependentProduct object at 0x2b69815419e0>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring lattic5364784637807008409ex_nat:((complex->nat)->(set_complex->complex))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b6981541998>, <kernel.DependentProduct object at 0x2b6981541a28>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring lattic8794016678065449205x_real:((complex->real)->(set_complex->complex))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b69815419e0>, <kernel.DependentProduct object at 0x2b6981541b48>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Extended____Nat__Oenat_001t__Extended____Nat__Oenat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring lattic1996716550891908761d_enat:((extended_enat->extended_enat)->(set_Extended_enat->extended_enat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b6981541a28>, <kernel.DependentProduct object at 0x2b6981541998>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Extended____Nat__Oenat_001t__Nat__Onat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring lattic3845382081240766429at_nat:((extended_enat->nat)->(set_Extended_enat->extended_enat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b6981541b48>, <kernel.DependentProduct object at 0x2b69815419e0>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Extended____Nat__Oenat_001t__Real__Oreal
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring lattic1189837152898106425t_real:((extended_enat->real)->(set_Extended_enat->extended_enat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b6981541998>, <kernel.DependentProduct object at 0x2b6981541a28>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Int__Oint_001t__Extended____Nat__Oenat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring lattic6042659972569420511d_enat:((int->extended_enat)->(set_int->int))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b69815419e0>, <kernel.DependentProduct object at 0x2b6981541b48>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Int__Oint_001t__Nat__Onat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring lattic8446286672483414039nt_nat:((int->nat)->(set_int->int))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b6981541a28>, <kernel.DependentProduct object at 0x2b6981541b90>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Int__Oint_001t__Real__Oreal
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring lattic2675449441010098035t_real:((int->real)->(set_int->int))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b6981541a28>, <kernel.DependentProduct object at 0x2b6981546098>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Nat__Onat_001t__Extended____Nat__Oenat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring lattic8926238025367240251d_enat:((nat->extended_enat)->(set_nat->nat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b6981541a28>, <kernel.DependentProduct object at 0x2b6981546128>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Nat__Onat_001t__Nat__Onat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring lattic7446932960582359483at_nat:((nat->nat)->(set_nat->nat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b69815419e0>, <kernel.DependentProduct object at 0x2b6981546170>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Nat__Onat_001t__Real__Oreal
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring lattic488527866317076247t_real:((nat->real)->(set_nat->nat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b6981546200>, <kernel.DependentProduct object at 0x2b6981546248>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Real__Oreal_001t__Extended____Nat__Oenat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring lattic9066027731366277983d_enat:((real->extended_enat)->(set_real->real))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b69815462d8>, <kernel.DependentProduct object at 0x2b69815461b8>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Real__Oreal_001t__Nat__Onat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring lattic5055836439445974935al_nat:((real->nat)->(set_real->real))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b6981546290>, <kernel.DependentProduct object at 0x2b6981546200>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Real__Oreal_001t__Real__Oreal
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring lattic8440615504127631091l_real:((real->real)->(set_real->real))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b6981546320>, <kernel.DependentProduct object at 0x2b69815462d8>) of role type named sy_c_List_Oappend_001t__Int__Oint
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring append_int:(list_int->(list_int->list_int))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b69815463f8>, <kernel.DependentProduct object at 0x2b6981546290>) of role type named sy_c_List_Oappend_001t__Nat__Onat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring append_nat:(list_nat->(list_nat->list_nat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b6981546560>, <kernel.DependentProduct object at 0x2b6981546368>) of role type named sy_c_List_Ocount__list_001t__Complex__Ocomplex
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring count_list_complex:(list_complex->(complex->nat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b6981546320>, <kernel.DependentProduct object at 0x2b6981546560>) of role type named sy_c_List_Ocount__list_001t__Extended____Nat__Oenat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring count_101369445342291426d_enat:(list_Extended_enat->(extended_enat->nat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b69815460e0>, <kernel.DependentProduct object at 0x2b6981546368>) of role type named sy_c_List_Ocount__list_001t__Int__Oint
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring count_list_int:(list_int->(int->nat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b69815465f0>, <kernel.DependentProduct object at 0x2b6981546320>) of role type named sy_c_List_Ocount__list_001t__Nat__Onat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring count_list_nat:(list_nat->(nat->nat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b6981546680>, <kernel.DependentProduct object at 0x2b69815460e0>) of role type named sy_c_List_Ocount__list_001t__Real__Oreal
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring count_list_real:(list_real->(real->nat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2b69815463f8>, <kernel.DependentProduct object at 0x2b69815465f0>) of role type named sy_c_List_Ocount__list_001t__Set__Oset_It__Nat__Onat_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring count_list_set_nat:(list_set_nat->(set_nat->nat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b69815462d8>, <kernel.DependentProduct object at 0x2b6981546680>) of role type named sy_c_List_Ocount__list_001t__VEBT____Definitions__OVEBT
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring count_list_VEBT_VEBT:(list_VEBT_VEBT->(vEBT_VEBT->nat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546518>, <kernel.DependentProduct object at 0x2b6981546368>) of role type named sy_c_List_Odistinct_001t__Int__Oint
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring distinct_int:(list_int->Prop)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546560>, <kernel.DependentProduct object at 0x2b6981546320>) of role type named sy_c_List_Odistinct_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring distinct_nat:(list_nat->Prop)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b69815462d8>, <kernel.DependentProduct object at 0x2b6981546518>) of role type named sy_c_List_Odrop_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring drop_nat:(nat->(list_nat->list_nat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546878>, <kernel.DependentProduct object at 0x2b69815463f8>) of role type named sy_c_List_Oenumerate_001t__Int__Oint
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring enumerate_int:(nat->(list_int->list_P3521021558325789923at_int))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b69815468c0>, <kernel.DependentProduct object at 0x2b6981546560>) of role type named sy_c_List_Oenumerate_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring enumerate_nat:(nat->(list_nat->list_P6011104703257516679at_nat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546908>, <kernel.DependentProduct object at 0x2b6981546878>) of role type named sy_c_List_Oenumerate_001t__VEBT____Definitions__OVEBT
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring enumerate_VEBT_VEBT:(nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b69815460e0>, <kernel.DependentProduct object at 0x2b69815468c0>) of role type named sy_c_List_Ofind_001t__Extended____Nat__Oenat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring find_Extended_enat:((extended_enat->Prop)->(list_Extended_enat->option_Extended_enat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546680>, <kernel.DependentProduct object at 0x2b69815460e0>) of role type named sy_c_List_Ofind_001t__Int__Oint
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring find_int:((int->Prop)->(list_int->option_int))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546998>, <kernel.DependentProduct object at 0x2b69815468c0>) of role type named sy_c_List_Ofind_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring find_nat:((nat->Prop)->(list_nat->option_nat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546518>, <kernel.DependentProduct object at 0x2b6981546680>) of role type named sy_c_List_Ofind_001t__Num__Onum
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring find_num:((num->Prop)->(list_num->option_num))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546908>, <kernel.DependentProduct object at 0x2b6981546680>) of role type named sy_c_List_Ofind_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring find_P8199882355184865565at_nat:((product_prod_nat_nat->Prop)->(list_P6011104703257516679at_nat->option4927543243414619207at_nat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546a28>, <kernel.DependentProduct object at 0x2b6981546908>) of role type named sy_c_List_Ofind_001t__Real__Oreal
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring find_real:((real->Prop)->(list_real->option_real))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546b48>, <kernel.DependentProduct object at 0x2b6981546518>) of role type named sy_c_List_Ofind_001t__Set__Oset_It__Nat__Onat_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring find_set_nat:((set_nat->Prop)->(list_set_nat->option_set_nat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546bd8>, <kernel.DependentProduct object at 0x2b6981546680>) of role type named sy_c_List_Ofind_001t__VEBT____Definitions__OVEBT
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring find_VEBT_VEBT:((vEBT_VEBT->Prop)->(list_VEBT_VEBT->option_VEBT_VEBT))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546b90>, <kernel.DependentProduct object at 0x2b6981546b48>) of role type named sy_c_List_Ogen__length_001t__Int__Oint
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring gen_length_int:(nat->(list_int->nat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546908>, <kernel.DependentProduct object at 0x2b6981546bd8>) of role type named sy_c_List_Ogen__length_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring gen_length_nat:(nat->(list_nat->nat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b69815467e8>, <kernel.DependentProduct object at 0x2b6981546b90>) of role type named sy_c_List_Ogen__length_001t__VEBT____Definitions__OVEBT
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring gen_length_VEBT_VEBT:(nat->(list_VEBT_VEBT->nat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546878>, <kernel.DependentProduct object at 0x2b6981546680>) of role type named sy_c_List_Olast_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring last_nat:(list_nat->nat)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546908>, <kernel.DependentProduct object at 0x2b6981546bd8>) of role type named sy_c_List_Olinorder__class_Osort__key_001t__Int__Oint_001t__Int__Oint
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring linord1735203802627413978nt_int:((int->int)->(list_int->list_int))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546878>, <kernel.DependentProduct object at 0x2b6981546b90>) of role type named sy_c_List_Olinorder__class_Osort__key_001t__Nat__Onat_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring linord738340561235409698at_nat:((nat->nat)->(list_nat->list_nat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546bd8>, <kernel.DependentProduct object at 0x2b6981546d88>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546908>, <kernel.DependentProduct object at 0x2b6981546b90>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring cons_int:(int->(list_int->list_int))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546ea8>, <kernel.DependentProduct object at 0x2b6981546bd8>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546ef0>, <kernel.Constant object at 0x2b6981546bd8>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring nil_int:list_int
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546b90>, <kernel.Constant object at 0x2b6981546bd8>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring nil_nat:list_nat
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546998>, <kernel.DependentProduct object at 0x2b6981547050>) of role type named sy_c_List_Olist_Ohd_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring hd_nat:(list_nat->nat)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546f80>, <kernel.DependentProduct object at 0x2b6981546518>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring map_nat_nat:((nat->nat)->(list_nat->list_nat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546ef0>, <kernel.DependentProduct object at 0x2b69815470e0>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring set_complex2:(list_complex->set_complex)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546d88>, <kernel.DependentProduct object at 0x2b6981547098>) of role type named sy_c_List_Olist_Oset_001t__Extended____Nat__Oenat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring set_Extended_enat2:(list_Extended_enat->set_Extended_enat)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546518>, <kernel.DependentProduct object at 0x2b6981547128>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring set_int2:(list_int->set_int)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546f80>, <kernel.DependentProduct object at 0x2b6981547170>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring set_nat2:(list_nat->set_nat)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546d88>, <kernel.DependentProduct object at 0x2b69815471b8>) of role type named sy_c_List_Olist_Oset_001t__Num__Onum
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring set_num2:(list_num->set_num)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546f80>, <kernel.DependentProduct object at 0x2b6981547128>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring set_Pr5648618587558075414at_nat:(list_P6011104703257516679at_nat->set_Pr1261947904930325089at_nat)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546518>, <kernel.DependentProduct object at 0x2b6981547290>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring set_real2:(list_real->set_real)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546f80>, <kernel.DependentProduct object at 0x2b69815472d8>) of role type named sy_c_List_Olist_Oset_001t__Set__Oset_It__Nat__Onat_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring set_set_nat2:(list_set_nat->set_set_nat)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981546f80>, <kernel.DependentProduct object at 0x2b6981547320>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981547128>, <kernel.DependentProduct object at 0x2b6981547290>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981547248>, <kernel.DependentProduct object at 0x2b6981547098>) of role type named sy_c_List_Olist_Otl_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring tl_nat:(list_nat->list_nat)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981547170>, <kernel.DependentProduct object at 0x2b6981547290>) of role type named sy_c_List_Olist__update_001t__Extended____Nat__Oenat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring list_u3071683517702156500d_enat:(list_Extended_enat->(nat->(extended_enat->list_Extended_enat)))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981547440>, <kernel.DependentProduct object at 0x2b6981547248>) of role type named sy_c_List_Olist__update_001t__Int__Oint
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring list_update_int:(list_int->(nat->(int->list_int)))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b69815474d0>, <kernel.DependentProduct object at 0x2b6981547170>) of role type named sy_c_List_Olist__update_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring list_update_nat:(list_nat->(nat->(nat->list_nat)))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981547440>, <kernel.DependentProduct object at 0x2b69815474d0>) of role type named sy_c_List_Olist__update_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring list_u6180841689913720943at_nat:(list_P6011104703257516679at_nat->(nat->(product_prod_nat_nat->list_P6011104703257516679at_nat)))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b69815475f0>, <kernel.DependentProduct object at 0x2b6981547170>) of role type named sy_c_List_Olist__update_001t__Real__Oreal
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring list_update_real:(list_real->(nat->(real->list_real)))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981547638>, <kernel.DependentProduct object at 0x2b6981547440>) of role type named sy_c_List_Olist__update_001t__Set__Oset_It__Nat__Onat_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring list_update_set_nat:(list_set_nat->(nat->(set_nat->list_set_nat)))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b69815475f0>, <kernel.DependentProduct object at 0x2b6981547638>) of role type named sy_c_List_Olist__update_001t__VEBT____Definitions__OVEBT
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring list_u1324408373059187874T_VEBT:(list_VEBT_VEBT->(nat->(vEBT_VEBT->list_VEBT_VEBT)))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981547050>, <kernel.DependentProduct object at 0x2b69815475f0>) of role type named sy_c_List_Olistrel1_001t__Int__Oint
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring listrel1_int:(set_Pr958786334691620121nt_int->set_Pr765067013931698361st_int)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2b6981547710>, <kernel.DependentProduct object at 0x2b6981547638>) of role type named sy_c_List_Olistrel1_001t__Nat__Onat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring listrel1_nat:(set_Pr1261947904930325089at_nat->set_Pr3451248702717554689st_nat)
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547440>, <kernel.DependentProduct object at 0x2b6981547050>) of role type named sy_c_List_Olistrel1_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring listre4828114922151135584at_nat:(set_Pr8693737435421807431at_nat->set_Pr1542805901266377927at_nat)
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547758>, <kernel.DependentProduct object at 0x2b6981547710>) of role type named sy_c_List_Olistrel1_001t__VEBT____Definitions__OVEBT
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring listrel1_VEBT_VEBT:(set_Pr6192946355708809607T_VEBT->set_Pr1916528119006554503T_VEBT)
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547560>, <kernel.DependentProduct object at 0x2b69815477a0>) of role type named sy_c_List_Olistrel1p_001t__Int__Oint
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring listrel1p_int:((int->(int->Prop))->(list_int->(list_int->Prop)))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547830>, <kernel.DependentProduct object at 0x2b6981547878>) of role type named sy_c_List_Olistrel1p_001t__Nat__Onat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring listrel1p_nat:((nat->(nat->Prop))->(list_nat->(list_nat->Prop)))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547710>, <kernel.DependentProduct object at 0x2b6981547560>) of role type named sy_c_List_Onth_001t__Extended____Nat__Oenat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring nth_Extended_enat:(list_Extended_enat->(nat->extended_enat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b69815476c8>, <kernel.DependentProduct object at 0x2b6981547710>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring nth_int:(list_int->(nat->int))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b69815477a0>, <kernel.DependentProduct object at 0x2b6981547560>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring nth_nat:(list_nat->(nat->nat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547638>, <kernel.DependentProduct object at 0x2b69815476c8>) of role type named sy_c_List_Onth_001t__Num__Onum
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring nth_num:(list_num->(nat->num))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547830>, <kernel.DependentProduct object at 0x2b69815477a0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring nth_Pr4439495888332055232nt_int:(list_P5707943133018811711nt_int->(nat->product_prod_int_int))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547638>, <kernel.DependentProduct object at 0x2b6981547830>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring nth_Pr8617346907841251940nt_nat:(list_P8198026277950538467nt_nat->(nat->product_prod_int_nat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b69815477a0>, <kernel.DependentProduct object at 0x2b6981547638>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Int__Oint_Mt__VEBT____Definitions__OVEBT_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring nth_Pr3474266648193625910T_VEBT:(list_P7524865323317820941T_VEBT->(nat->produc1531783533982839933T_VEBT))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547830>, <kernel.DependentProduct object at 0x2b69815477a0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring nth_Pr3440142176431000676at_int:(list_P3521021558325789923at_int->(nat->product_prod_nat_int))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547638>, <kernel.DependentProduct object at 0x2b6981547830>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring nth_Pr7617993195940197384at_nat:(list_P6011104703257516679at_nat->(nat->product_prod_nat_nat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b69815477a0>, <kernel.DependentProduct object at 0x2b6981547638>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring nth_Pr744662078594809490T_VEBT:(list_P5647936690300460905T_VEBT->(nat->produc8025551001238799321T_VEBT))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547830>, <kernel.DependentProduct object at 0x2b69815477a0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring nth_Pr6744343527793145070at_nat:(list_P8469869581646625389at_nat->(nat->produc859450856879609959at_nat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547638>, <kernel.DependentProduct object at 0x2b6981547830>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring nth_Pr6837108013167703752BT_int:(list_P4547456442757143711BT_int->(nat->produc4894624898956917775BT_int))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b69815477a0>, <kernel.DependentProduct object at 0x2b6981547638>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring nth_Pr1791586995822124652BT_nat:(list_P7037539587688870467BT_nat->(nat->produc9072475918466114483BT_nat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547830>, <kernel.DependentProduct object at 0x2b69815477a0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547998>, <kernel.DependentProduct object at 0x2b6981547830>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring nth_real:(list_real->(nat->real))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547fc8>, <kernel.DependentProduct object at 0x2b6981547638>) of role type named sy_c_List_Onth_001t__Set__Oset_It__Nat__Onat_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring nth_set_nat:(list_set_nat->(nat->set_nat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547cb0>, <kernel.DependentProduct object at 0x2b69815477a0>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547638>, <kernel.DependentProduct object at 0x2b698154c050>) of role type named sy_c_List_Oproduct_001t__Int__Oint_001t__Int__Oint
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring product_int_int:(list_int->(list_int->list_P5707943133018811711nt_int))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547998>, <kernel.DependentProduct object at 0x2b698154c098>) of role type named sy_c_List_Oproduct_001t__Int__Oint_001t__Nat__Onat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring product_int_nat:(list_int->(list_nat->list_P8198026277950538467nt_nat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547638>, <kernel.DependentProduct object at 0x2b698154c050>) of role type named sy_c_List_Oproduct_001t__Int__Oint_001t__VEBT____Definitions__OVEBT
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring produc662631939642741121T_VEBT:(list_int->(list_VEBT_VEBT->list_P7524865323317820941T_VEBT))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547560>, <kernel.DependentProduct object at 0x2b698154c1b8>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__Int__Oint
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring product_nat_int:(list_nat->(list_int->list_P3521021558325789923at_int))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b6981547c20>, <kernel.DependentProduct object at 0x2b698154c050>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__Nat__Onat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring product_nat_nat:(list_nat->(list_nat->list_P6011104703257516679at_nat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b698154c200>, <kernel.DependentProduct object at 0x2b698154c1b8>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring produc7156399406898700509T_VEBT:(list_nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2b698154c248>, <kernel.DependentProduct object at 0x2b698154c128>) of role type named sy_c_List_Oproduct_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring produc3544356994491977349at_nat:(list_P6011104703257516679at_nat->(list_P6011104703257516679at_nat->list_P8469869581646625389at_nat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c050>, <kernel.DependentProduct object at 0x2b698154c290>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring produc7292646706713671643BT_int:(list_VEBT_VEBT->(list_int->list_P4547456442757143711BT_int))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c320>, <kernel.DependentProduct object at 0x2b698154c050>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring produc7295137177222721919BT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c290>, <kernel.DependentProduct object at 0x2b698154c320>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c170>, <kernel.DependentProduct object at 0x2b698154c560>) of role type named sy_c_List_Oremdups_001t__Nat__Onat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring remdups_nat:(list_nat->list_nat)
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c050>, <kernel.DependentProduct object at 0x2b698154c320>) of role type named sy_c_List_Oreplicate_001t__Extended____Nat__Oenat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring replic7216382294607269926d_enat:(nat->(extended_enat->list_Extended_enat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c290>, <kernel.DependentProduct object at 0x2b698154c170>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring replicate_int:(nat->(int->list_int))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c3b0>, <kernel.DependentProduct object at 0x2b698154c050>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c638>, <kernel.DependentProduct object at 0x2b698154c290>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring replicate_real:(nat->(real->list_real))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c440>, <kernel.DependentProduct object at 0x2b698154c3b0>) of role type named sy_c_List_Oreplicate_001t__Set__Oset_It__Nat__Onat_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring replicate_set_nat:(nat->(set_nat->list_set_nat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c1b8>, <kernel.DependentProduct object at 0x2b698154c638>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c320>, <kernel.DependentProduct object at 0x2b698154c5f0>) of role type named sy_c_List_Osorted__wrt_001t__Int__Oint
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring sorted_wrt_int:((int->(int->Prop))->(list_int->Prop))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c638>, <kernel.DependentProduct object at 0x2b698154c7a0>) of role type named sy_c_List_Osorted__wrt_001t__Nat__Onat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring sorted_wrt_nat:((nat->(nat->Prop))->(list_nat->Prop))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c4d0>, <kernel.DependentProduct object at 0x2b698154c638>) of role type named sy_c_List_Otake_001t__Nat__Onat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring take_nat:(nat->(list_nat->list_nat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c830>, <kernel.DependentProduct object at 0x2b698154c320>) of role type named sy_c_List_Oupt
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring upt:(nat->(nat->list_nat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c8c0>, <kernel.DependentProduct object at 0x2b698154c7a0>) of role type named sy_c_List_Oupto
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring upto:(int->(int->list_int))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c878>, <kernel.DependentProduct object at 0x2b698154c830>) of role type named sy_c_List_Oupto__aux
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c170>, <kernel.DependentProduct object at 0x2b698154c8c0>) of role type named sy_c_List_Oupto__rel
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring upto_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c950>, <kernel.DependentProduct object at 0x2b698154c638>) of role type named sy_c_Nat_OSuc
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring suc:(nat->nat)
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c7a0>, <kernel.DependentProduct object at 0x2b698154ca28>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c5f0>, <kernel.DependentProduct object at 0x2b698154cab8>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c170>, <kernel.DependentProduct object at 0x2b698154ca70>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c998>, <kernel.DependentProduct object at 0x2b698154c950>) of role type named sy_c_Nat_Onat_Opred
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring pred:(nat->nat)
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c638>, <kernel.Constant object at 0x2b698154c950>) of role type named sy_c_Nat_Osemiring__1__class_ONats_001t__Int__Oint
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring semiring_1_Nats_int:set_int
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c998>, <kernel.DependentProduct object at 0x2b698154cb00>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154c950>, <kernel.DependentProduct object at 0x2b698154cb90>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Extended____Nat__Oenat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring semiri4216267220026989637d_enat:(nat->extended_enat)
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154cb00>, <kernel.DependentProduct object at 0x2b698154cc20>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154cb90>, <kernel.DependentProduct object at 0x2b698154ccb0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154cc20>, <kernel.DependentProduct object at 0x2b698154cd40>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154ccb0>, <kernel.DependentProduct object at 0x2b698154ca70>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Complex__Ocomplex
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring semiri2816024913162550771omplex:((complex->complex)->(nat->(complex->complex)))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154cd40>, <kernel.DependentProduct object at 0x2b698154ce18>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Extended____Nat__Oenat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring semiri8563196900006977889d_enat:((extended_enat->extended_enat)->(nat->(extended_enat->extended_enat)))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154ca70>, <kernel.DependentProduct object at 0x2b698154cea8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Int__Oint
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring semiri8420488043553186161ux_int:((int->int)->(nat->(int->int)))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2b698154ce18>, <kernel.DependentProduct object at 0x2b698154cf38>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Nat__Onat
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring semiri8422978514062236437ux_nat:((nat->nat)->(nat->(nat->nat)))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2b698154cea8>, <kernel.DependentProduct object at 0x2b698154ce60>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Real__Oreal
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring semiri7260567687927622513x_real:((real->real)->(nat->(real->real)))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2b698154cf38>, <kernel.DependentProduct object at 0x17a90e0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2b698154ce60>, <kernel.DependentProduct object at 0x17a9170>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Extended____Nat__Oenat_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring size_s3941691890525107288d_enat:(list_Extended_enat->nat)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2b698154cf38>, <kernel.DependentProduct object at 0x17a9200>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring size_size_list_int:(list_int->nat)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2b698154ce18>, <kernel.DependentProduct object at 0x17a9248>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring size_size_list_nat:(list_nat->nat)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2b698154cf38>, <kernel.DependentProduct object at 0x17a9290>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Num__Onum_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring size_size_list_num:(list_num->nat)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x17a9248>, <kernel.DependentProduct object at 0x17a92d8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring size_s5157815400016825771nt_int:(list_P5707943133018811711nt_int->nat)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x17a9170>, <kernel.DependentProduct object at 0x17a9368>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring size_s7647898544948552527nt_nat:(list_P8198026277950538467nt_nat->nat)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x17a9128>, <kernel.DependentProduct object at 0x17a93f8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__VEBT____Definitions__OVEBT_J_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring size_s6639371672096860321T_VEBT:(list_P7524865323317820941T_VEBT->nat)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x17a9170>, <kernel.DependentProduct object at 0x17a9488>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring size_s2970893825323803983at_int:(list_P3521021558325789923at_int->nat)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x17a93f8>, <kernel.DependentProduct object at 0x17a9518>) 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
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring size_s5460976970255530739at_nat:(list_P6011104703257516679at_nat->nat)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x17a9488>, <kernel.DependentProduct object at 0x17a95a8>) 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
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring size_s4762443039079500285T_VEBT:(list_P5647936690300460905T_VEBT->nat)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x17a9518>, <kernel.DependentProduct object at 0x17a9638>) 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
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring size_s3661962791536183091BT_int:(list_P4547456442757143711BT_int->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a95a8>, <kernel.DependentProduct object at 0x17a96c8>) 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
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_s6152045936467909847BT_nat:(list_P7037539587688870467BT_nat->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9638>, <kernel.DependentProduct object at 0x17a9758>) 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
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_s7466405169056248089T_VEBT:(list_P7413028617227757229T_VEBT->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9680>, <kernel.DependentProduct object at 0x17a97e8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_size_list_real:(list_real->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9638>, <kernel.DependentProduct object at 0x17a9830>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_s3254054031482475050et_nat:(list_set_nat->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a97e8>, <kernel.DependentProduct object at 0x17a98c0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9518>, <kernel.DependentProduct object at 0x17a9950>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_size_num:(num->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a96c8>, <kernel.DependentProduct object at 0x17a9998>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_size_option_num:(option_num->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9518>, <kernel.DependentProduct object at 0x17a99e0>) 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
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9950>, <kernel.DependentProduct object at 0x17a9a70>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a91b8>, <kernel.DependentProduct object at 0x17a9b00>) of role type named sy_c_Nat__Bijection_Olist__decode
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring nat_list_decode:(nat->list_nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a99e0>, <kernel.DependentProduct object at 0x17a9518>) of role type named sy_c_Nat__Bijection_Olist__decode__rel
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring nat_list_decode_rel:(nat->(nat->Prop))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9830>, <kernel.DependentProduct object at 0x17a9b90>) of role type named sy_c_Nat__Bijection_Olist__encode
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring nat_list_encode:(list_nat->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a91b8>, <kernel.DependentProduct object at 0x17a9a70>) of role type named sy_c_Nat__Bijection_Olist__encode__rel
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring nat_list_encode_rel:(list_nat->(list_nat->Prop))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a97e8>, <kernel.DependentProduct object at 0x17a9c20>) of role type named sy_c_Nat__Bijection_Oprod__decode
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring nat_prod_decode:(nat->product_prod_nat_nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9830>, <kernel.DependentProduct object at 0x17a9518>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9a70>, <kernel.DependentProduct object at 0x17a9830>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9a28>, <kernel.DependentProduct object at 0x17a9d40>) of role type named sy_c_Nat__Bijection_Oprod__encode
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring nat_prod_encode:(product_prod_nat_nat->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9b00>, <kernel.DependentProduct object at 0x17a9d88>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring nat_set_decode:(nat->set_nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a91b8>, <kernel.DependentProduct object at 0x17a9dd0>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring nat_set_encode:(set_nat->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9c20>, <kernel.DependentProduct object at 0x17a9e18>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring nat_triangle:(nat->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9d40>, <kernel.DependentProduct object at 0x17a9518>) of role type named sy_c_NthRoot_Oroot
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring root:(nat->(real->real))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9b00>, <kernel.DependentProduct object at 0x17a9e60>) of role type named sy_c_Num_Oinc
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring inc:(num->num)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9d88>, <kernel.DependentProduct object at 0x17a9e18>) of role type named sy_c_Num_Onum_OBit0
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring bit0:(num->num)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9c20>, <kernel.DependentProduct object at 0x17a9ef0>) of role type named sy_c_Num_Onum_OBit1
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring bit1:(num->num)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9518>, <kernel.Constant object at 0x17a9ef0>) of role type named sy_c_Num_Onum_OOne
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring one:num
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9e18>, <kernel.DependentProduct object at 0x17a9f80>) of role type named sy_c_Num_Onum_Osize__num
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_num:(num->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9e60>, <kernel.DependentProduct object at 0x17a9fc8>) of role type named sy_c_Num_Onum__of__nat
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring num_of_nat:(nat->num)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9e18>, <kernel.DependentProduct object at 0x1791050>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring numera6690914467698888265omplex:(num->complex)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9fc8>, <kernel.DependentProduct object at 0x17910e0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9d40>, <kernel.DependentProduct object at 0x1791170>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring numeral_numeral_int:(num->int)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9f80>, <kernel.DependentProduct object at 0x17911b8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring numeral_numeral_nat:(num->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9fc8>, <kernel.DependentProduct object at 0x1791200>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring numeral_numeral_real:(num->real)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9f80>, <kernel.DependentProduct object at 0x1791248>) of role type named sy_c_Num_Opred__numeral
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring pred_numeral:(num->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9d40>, <kernel.Constant object at 0x1791248>) of role type named sy_c_Option_Ooption_ONone_001t__Extended____Nat__Oenat
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring none_Extended_enat:option_Extended_enat
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x17a9d40>, <kernel.Constant object at 0x1791248>) of role type named sy_c_Option_Ooption_ONone_001t__Int__Oint
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring none_int:option_int
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x1791128>, <kernel.Constant object at 0x1791248>) of role type named sy_c_Option_Ooption_ONone_001t__Nat__Onat
% 0.59/0.76 Using role type
% 0.59/0.77 Declaring none_nat:option_nat
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x1791098>, <kernel.Constant object at 0x1791248>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring none_num:option_num
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x1791128>, <kernel.Constant object at 0x1791290>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x1791320>, <kernel.Constant object at 0x1791290>) of role type named sy_c_Option_Ooption_ONone_001t__Real__Oreal
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring none_real:option_real
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x1791368>, <kernel.Constant object at 0x1791290>) of role type named sy_c_Option_Ooption_ONone_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring none_set_nat:option_set_nat
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x17913b0>, <kernel.Constant object at 0x1791290>) of role type named sy_c_Option_Ooption_ONone_001t__VEBT____Definitions__OVEBT
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring none_VEBT_VEBT:option_VEBT_VEBT
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x17913f8>, <kernel.DependentProduct object at 0x1791518>) of role type named sy_c_Option_Ooption_OSome_001t__Int__Oint
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring some_int:(int->option_int)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x17912d8>, <kernel.DependentProduct object at 0x1791560>) of role type named sy_c_Option_Ooption_OSome_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring some_nat:(nat->option_nat)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x1791440>, <kernel.DependentProduct object at 0x17915a8>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring some_num:(num->option_num)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x17912d8>, <kernel.DependentProduct object at 0x1791440>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x1791290>, <kernel.DependentProduct object at 0x1791680>) of role type named sy_c_Option_Ooption_OSome_001t__VEBT____Definitions__OVEBT
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring some_VEBT_VEBT:(vEBT_VEBT->option_VEBT_VEBT)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x17912d8>, <kernel.DependentProduct object at 0x17916c8>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x1791710>, <kernel.DependentProduct object at 0x17917e8>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x17912d8>, <kernel.DependentProduct object at 0x1791830>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x1791878>, <kernel.DependentProduct object at 0x1791758>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x17912d8>, <kernel.DependentProduct object at 0x17917a0>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x17917e8>, <kernel.DependentProduct object at 0x1791758>) of role type named sy_c_Order__Relation_OunderS_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring order_underS_nat:(set_Pr1261947904930325089at_nat->(nat->set_nat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x17912d8>, <kernel.DependentProduct object at 0x17917a0>) of role type named sy_c_Order__Relation_Owell__order__on_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring order_2888998067076097458on_nat:(set_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x1791758>, <kernel.DependentProduct object at 0x17917e8>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Extended____Nat__Oenat_M_Eo_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring bot_bo1954855461789132331enat_o:(extended_enat->Prop)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x17912d8>, <kernel.DependentProduct object at 0x17917a0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring bot_bot_int_int_o:(int->(int->Prop))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x17919e0>, <kernel.DependentProduct object at 0x1791ab8>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Int__Oint_M_Eo_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring bot_bot_int_o:(int->Prop)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x1791758>, <kernel.DependentProduct object at 0x1791a70>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring bot_bot_list_nat_o:(list_nat->Prop)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x17912d8>, <kernel.DependentProduct object at 0x17919e0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring bot_bot_nat_nat_o:(nat->(nat->Prop))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x1791830>, <kernel.DependentProduct object at 0x1791b90>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_Eo_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring bot_bot_nat_o:(nat->Prop)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x17912d8>, <kernel.DependentProduct object at 0x1791830>) of role type named sy_c_Orderings_Obot__class_Obot_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
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring bot_bo4898103413517107610_nat_o:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x17917a0>, <kernel.DependentProduct object at 0x1791bd8>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Real__Oreal_M_Eo_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring bot_bot_real_o:(real->Prop)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x1791b90>, <kernel.DependentProduct object at 0x1791c68>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring bot_bot_set_nat_o:(set_nat->Prop)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x17917a0>, <kernel.DependentProduct object at 0x1791b90>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__VEBT____Definitions__OVEBT_M_062_It__Nat__Onat_M_Eo_J_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring bot_bo1565574316222977092_nat_o:(vEBT_VEBT->(nat->Prop))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x1791c68>, <kernel.Constant object at 0x1791bd8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Extended____Nat__Oenat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring bot_bo4199563552545308370d_enat:extended_enat
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x17912d8>, <kernel.Constant object at 0x1791bd8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring bot_bot_filter_nat:filter_nat
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x1791cf8>, <kernel.Constant object at 0x1791bd8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring bot_bot_nat:nat
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x1791d88>, <kernel.Constant object at 0x1791bd8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring bot_bot_set_complex:set_complex
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x1791cf8>, <kernel.Constant object at 0x1791c20>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bo7653980558646680370d_enat:set_Extended_enat
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1791e18>, <kernel.Constant object at 0x1791c20>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bot_set_int:set_int
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1791ea8>, <kernel.Constant object at 0x1791c20>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bot_set_list_nat:set_list_nat
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1791ef0>, <kernel.Constant object at 0x1791c20>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bot_set_nat:set_nat
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1791ea8>, <kernel.Constant object at 0x1791f38>) 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
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bo1796632182523588997nt_int:set_Pr958786334691620121nt_int
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1791c20>, <kernel.Constant object at 0x1791fc8>) 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
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bo2099793752762293965at_nat:set_Pr1261947904930325089at_nat
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1791c20>, <kernel.Constant object at 0x1792050>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bo5327735625951526323at_nat:set_Pr8693737435421807431at_nat
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1791c20>, <kernel.Constant object at 0x17920e0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bo1642239108664514429BT_nat:set_Pr7556676689462069481BT_nat
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1791f80>, <kernel.Constant object at 0x17921b8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bot_set_real:set_real
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1791c20>, <kernel.Constant object at 0x17921b8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bot_set_set_int:set_set_int
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1791f80>, <kernel.Constant object at 0x17921b8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bot_set_set_nat:set_set_nat
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1792050>, <kernel.Constant object at 0x17920e0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bo8194388402131092736T_VEBT:set_VEBT_VEBT
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1792290>, <kernel.DependentProduct object at 0x1792440>) of role type named sy_c_Orderings_Oord__class_OLeast_001t__Extended____Nat__Oenat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_Le1955565732374568822d_enat:((extended_enat->Prop)->extended_enat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x17922d8>, <kernel.DependentProduct object at 0x17924d0>) of role type named sy_c_Orderings_Oord__class_OLeast_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_Least_nat:((nat->Prop)->nat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1792290>, <kernel.DependentProduct object at 0x1792560>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Extended____Nat__Oenat_M_Eo_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_le8499522857272258027enat_o:((extended_enat->Prop)->((extended_enat->Prop)->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x17923b0>, <kernel.DependentProduct object at 0x17925f0>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Int__Oint_M_Eo_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1792560>, <kernel.DependentProduct object at 0x1792638>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Nat__Onat_M_Eo_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x17925f0>, <kernel.DependentProduct object at 0x1792680>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Real__Oreal_M_Eo_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1792638>, <kernel.DependentProduct object at 0x17926c8>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_set_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x17925f0>, <kernel.DependentProduct object at 0x1792638>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x17925a8>, <kernel.DependentProduct object at 0x17926c8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_int:(int->(int->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1792710>, <kernel.DependentProduct object at 0x17925f0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1792290>, <kernel.DependentProduct object at 0x17925a8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_num:(num->(num->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1792680>, <kernel.DependentProduct object at 0x1792710>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_real:(real->(real->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1792638>, <kernel.DependentProduct object at 0x1792290>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1792680>, <kernel.DependentProduct object at 0x1792638>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_le2529575680413868914d_enat:(set_Extended_enat->(set_Extended_enat->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x17925f0>, <kernel.DependentProduct object at 0x1792290>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1792908>, <kernel.DependentProduct object at 0x1792680>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1792710>, <kernel.DependentProduct object at 0x17925f0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x17926c8>, <kernel.DependentProduct object at 0x1792908>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_set_set_int:(set_set_int->(set_set_int->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x1792638>, <kernel.DependentProduct object at 0x1792710>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_set_set_nat:(set_set_nat->(set_set_nat->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x17926c8>, <kernel.DependentProduct object at 0x1792b00>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Extended____Nat__Oenat_M_Eo_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_le100613205991271927enat_o:((extended_enat->Prop)->((extended_enat->Prop)->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x17925f0>, <kernel.DependentProduct object at 0x1792b90>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_Eo_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1792b00>, <kernel.DependentProduct object at 0x1792bd8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_Eo_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1792b90>, <kernel.DependentProduct object at 0x1792c20>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Real__Oreal_M_Eo_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1792b00>, <kernel.DependentProduct object at 0x1792c68>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_le3964352015994296041_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1792c20>, <kernel.DependentProduct object at 0x1792b00>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1792c68>, <kernel.DependentProduct object at 0x1792c20>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_le2510731241096832064er_nat:(filter_nat->(filter_nat->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1792cf8>, <kernel.DependentProduct object at 0x1792b00>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1792d88>, <kernel.DependentProduct object at 0x1792c68>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1792b48>, <kernel.DependentProduct object at 0x1792cf8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x17925f0>, <kernel.DependentProduct object at 0x1792d88>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1792b48>, <kernel.DependentProduct object at 0x17925f0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1792d88>, <kernel.DependentProduct object at 0x1792b48>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_le7203529160286727270d_enat:(set_Extended_enat->(set_Extended_enat->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1792f38>, <kernel.DependentProduct object at 0x17925f0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1792d88>, <kernel.DependentProduct object at 0x1795098>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_le6045566169113846134st_nat:(set_list_nat->(set_list_nat->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1792c20>, <kernel.DependentProduct object at 0x1795050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1792fc8>, <kernel.DependentProduct object at 0x1795170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1792fc8>, <kernel.DependentProduct object at 0x17951b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_le4403425263959731960et_int:(set_set_int->(set_set_int->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1792b48>, <kernel.DependentProduct object at 0x1795128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_le6893508408891458716et_nat:(set_set_nat->(set_set_nat->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x17951b8>, <kernel.DependentProduct object at 0x1795248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1795290>, <kernel.DependentProduct object at 0x17952d8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Extended____Nat__Oenat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_ma741700101516333627d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1792b48>, <kernel.DependentProduct object at 0x1795098>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_max_int:(int->(int->int))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x17951b8>, <kernel.DependentProduct object at 0x1795368>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_max_nat:(nat->(nat->nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1795440>, <kernel.DependentProduct object at 0x1795290>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Real__Oreal
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_max_real:(real->(real->real))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x17951b8>, <kernel.DependentProduct object at 0x1795440>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_ma4205026669011143323d_enat:(set_Extended_enat->(set_Extended_enat->set_Extended_enat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1795320>, <kernel.DependentProduct object at 0x1795290>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Int__Oint_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_max_set_int:(set_int->(set_int->set_int))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1795200>, <kernel.DependentProduct object at 0x17951b8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_max_set_nat:(set_nat->(set_nat->set_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x17955a8>, <kernel.DependentProduct object at 0x1795320>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Real__Oreal_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_max_set_real:(set_real->(set_real->set_real))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1795368>, <kernel.DependentProduct object at 0x1795200>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Int__Oint
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_min_int:(int->(int->int))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x17953f8>, <kernel.DependentProduct object at 0x17955a8>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_min_nat:(nat->(nat->nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1795440>, <kernel.DependentProduct object at 0x1795290>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring order_Greatest_nat:((nat->Prop)->nat)
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x1795320>, <kernel.DependentProduct object at 0x1795368>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1795440>, <kernel.DependentProduct object at 0x17953f8>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring order_5726023648592871131at_nat:((nat->nat)->Prop)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1795200>, <kernel.DependentProduct object at 0x17957a0>) of role type named sy_c_Orderings_Oordering__top_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring ordering_top_nat:((nat->(nat->Prop))->((nat->(nat->Prop))->(nat->Prop)))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x17953f8>, <kernel.Constant object at 0x17957a0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Int__Oint_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring top_top_set_int:set_int
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x17951b8>, <kernel.Constant object at 0x17957a0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring top_top_set_nat:set_nat
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x17953f8>, <kernel.Constant object at 0x1795710>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Ounit_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring top_to1996260823553986621t_unit:set_Product_unit
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1795830>, <kernel.Constant object at 0x1795710>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring top_top_set_real:set_real
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1795878>, <kernel.Constant object at 0x1795710>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring top_top_set_char:set_char
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x17958c0>, <kernel.DependentProduct object at 0x1795830>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring power_power_complex:(complex->(nat->complex))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1795878>, <kernel.DependentProduct object at 0x17958c0>) of role type named sy_c_Power_Opower__class_Opower_001t__Extended____Nat__Oenat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring power_8040749407984259932d_enat:(extended_enat->(nat->extended_enat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1795a28>, <kernel.DependentProduct object at 0x1795830>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring power_power_int:(int->(nat->int))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x17959e0>, <kernel.DependentProduct object at 0x1795878>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring power_power_nat:(nat->(nat->nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1795b00>, <kernel.DependentProduct object at 0x1795a28>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring power_power_real:(real->(nat->real))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x17959e0>, <kernel.DependentProduct object at 0x1795830>) 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
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring produc3209952032786966637at_nat:((nat->(nat->nat))->(produc7248412053542808358at_nat->produc4471711990508489141at_nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x17958c0>, <kernel.DependentProduct object at 0x1795a28>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1795950>, <kernel.DependentProduct object at 0x17959e0>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring product_Pair_int_nat:(int->(nat->product_prod_int_nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x17958c0>, <kernel.DependentProduct object at 0x1795950>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__VEBT____Definitions__OVEBT
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring produc3329399203697025711T_VEBT:(int->(vEBT_VEBT->produc1531783533982839933T_VEBT))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x17959e0>, <kernel.DependentProduct object at 0x17958c0>) of role type named sy_c_Product__Type_OPair_001t__List__Olist_It__Int__Oint_J_001t__List__Olist_It__Int__Oint_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring produc364263696895485585st_int:(list_int->(list_int->produc1186641810826059865st_int))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1795950>, <kernel.DependentProduct object at 0x17959e0>) of role type named sy_c_Product__Type_OPair_001t__List__Olist_It__Nat__Onat_J_001t__List__Olist_It__Nat__Onat_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring produc2694037385005941721st_nat:(list_nat->(list_nat->produc1828647624359046049st_nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x17958c0>, <kernel.DependentProduct object at 0x1795c68>) of role type named sy_c_Product__Type_OPair_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring produc5943733680697469783at_nat:(list_P6011104703257516679at_nat->(list_P6011104703257516679at_nat->produc6392793444374437607at_nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x17959e0>, <kernel.DependentProduct object at 0x17958c0>) of role type named sy_c_Product__Type_OPair_001t__List__Olist_It__VEBT____Definitions__OVEBT_J_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring produc3897820843166775703T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->produc9211091688327510695T_VEBT))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1795f38>, <kernel.DependentProduct object at 0x1795c68>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Int__Oint
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring product_Pair_nat_int:(nat->(int->product_prod_nat_int))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1795950>, <kernel.DependentProduct object at 0x17959e0>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1795f38>, <kernel.DependentProduct object at 0x1795950>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring produc487386426758144856at_nat:(nat->(product_prod_nat_nat->produc7248412053542808358at_nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x17959e0>, <kernel.DependentProduct object at 0x17980e0>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring produc599794634098209291T_VEBT:(nat->(vEBT_VEBT->produc8025551001238799321T_VEBT))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1795950>, <kernel.DependentProduct object at 0x1798170>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring produc6161850002892822231at_nat:(product_prod_nat_nat->(product_prod_nat_nat->produc859450856879609959at_nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1795950>, <kernel.DependentProduct object at 0x1798200>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring produc736041933913180425BT_int:(vEBT_VEBT->(int->produc4894624898956917775BT_int))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1795c68>, <kernel.DependentProduct object at 0x1798290>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1798248>, <kernel.DependentProduct object at 0x1798320>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x1798368>, <kernel.DependentProduct object at 0x1798440>) of role type named sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Nat__Onat
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring produc457027306803732586at_nat:(set_nat->((nat->set_nat)->set_Pr1261947904930325089at_nat))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x1798290>, <kernel.DependentProduct object at 0x17982d8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x17983f8>, <kernel.DependentProduct object at 0x17984d0>) 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
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x1798290>, <kernel.DependentProduct object at 0x17985a8>) 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
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring produc8739625826339149834_nat_o:((nat->(nat->(product_prod_nat_nat->Prop)))->(product_prod_nat_nat->(product_prod_nat_nat->Prop)))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x17984d0>, <kernel.DependentProduct object at 0x1798638>) 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
% 0.63/0.80 Using role type
% 0.63/0.80 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)))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x17985a8>, <kernel.DependentProduct object at 0x1798248>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x1798638>, <kernel.DependentProduct object at 0x17982d8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring produc1917071388513777916omplex:((nat->(nat->complex))->(product_prod_nat_nat->complex))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x1798248>, <kernel.DependentProduct object at 0x17986c8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Extended____Nat__Oenat
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring produc2676513652042109336d_enat:((nat->(nat->extended_enat))->(product_prod_nat_nat->extended_enat))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x17982d8>, <kernel.DependentProduct object at 0x1798758>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring produc6840382203811409530at_int:((nat->(nat->int))->(product_prod_nat_nat->int))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x17986c8>, <kernel.DependentProduct object at 0x17987e8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__List__Olist_It__Nat__Onat_J
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring produc2761476792215241774st_nat:((nat->(nat->list_nat))->(product_prod_nat_nat->list_nat))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x1798758>, <kernel.DependentProduct object at 0x1798878>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring produc6842872674320459806at_nat:((nat->(nat->nat))->(product_prod_nat_nat->nat))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x17987e8>, <kernel.DependentProduct object at 0x1798908>) 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
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798878>, <kernel.DependentProduct object at 0x1798998>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Real__Oreal
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring produc1703576794950452218t_real:((nat->(nat->real))->(product_prod_nat_nat->real))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798b00>, <kernel.DependentProduct object at 0x1798a28>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798050>, <kernel.DependentProduct object at 0x1798b48>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798710>, <kernel.DependentProduct object at 0x1798b90>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798998>, <kernel.DependentProduct object at 0x1798bd8>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798710>, <kernel.Constant object at 0x1798b48>) of role type named sy_c_Rat_Ofield__char__0__class_ORats_001t__Real__Oreal
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring field_5140801741446780682s_real:set_real
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798bd8>, <kernel.DependentProduct object at 0x1798cb0>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798b48>, <kernel.DependentProduct object at 0x1798d40>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring real_V7735802525324610683m_real:(real->real)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798cb0>, <kernel.DependentProduct object at 0x1798dd0>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798d40>, <kernel.DependentProduct object at 0x1798e60>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Real__Oreal
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring real_V1803761363581548252l_real:(real->real)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798dd0>, <kernel.DependentProduct object at 0x1798d40>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Complex__Ocomplex
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring real_V2046097035970521341omplex:(real->(complex->complex))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798e60>, <kernel.DependentProduct object at 0x1798dd0>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Real__Oreal
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring real_V1485227260804924795R_real:(real->(real->real))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798b90>, <kernel.DependentProduct object at 0x179a050>) of role type named sy_c_Relation_OField_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring field_nat:(set_Pr1261947904930325089at_nat->set_nat)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798e60>, <kernel.DependentProduct object at 0x179a050>) of role type named sy_c_Rings_Oalgebraic__semidom__class_Ocoprime_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring algebr934650988132801477me_nat:(nat->(nat->Prop))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798fc8>, <kernel.DependentProduct object at 0x1798d40>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798e60>, <kernel.DependentProduct object at 0x179a098>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring divide_divide_int:(int->(int->int))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798fc8>, <kernel.DependentProduct object at 0x179a248>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798d40>, <kernel.DependentProduct object at 0x179a290>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring divide_divide_real:(real->(real->real))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798fc8>, <kernel.DependentProduct object at 0x179a0e0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x179a1b8>, <kernel.DependentProduct object at 0x179a248>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Extended____Nat__Oenat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring dvd_dv3785147216227455552d_enat:(extended_enat->(extended_enat->Prop))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x1798d40>, <kernel.DependentProduct object at 0x179a2d8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x179a320>, <kernel.DependentProduct object at 0x179a170>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x179a290>, <kernel.DependentProduct object at 0x179a1b8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x179a050>, <kernel.DependentProduct object at 0x179a320>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring modulo_modulo_int:(int->(int->int))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x179a368>, <kernel.DependentProduct object at 0x179a290>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x179a050>, <kernel.DependentProduct object at 0x179a518>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x179a290>, <kernel.DependentProduct object at 0x179a170>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Extended____Nat__Oenat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring zero_n1046097342994218471d_enat:(Prop->extended_enat)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x179a518>, <kernel.DependentProduct object at 0x179a5a8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x179a170>, <kernel.DependentProduct object at 0x179a638>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x179a5a8>, <kernel.DependentProduct object at 0x179a6c8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x179a170>, <kernel.DependentProduct object at 0x179a638>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring suminf_complex:((nat->complex)->complex)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x179a200>, <kernel.DependentProduct object at 0x179a170>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring suminf_int:((nat->int)->int)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x179a710>, <kernel.DependentProduct object at 0x179a638>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring suminf_nat:((nat->nat)->nat)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x179a7e8>, <kernel.DependentProduct object at 0x179a5a8>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring suminf_real:((nat->real)->real)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x179a878>, <kernel.DependentProduct object at 0x179a638>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring summable_complex:((nat->complex)->Prop)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x179a830>, <kernel.DependentProduct object at 0x179a200>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring summable_int:((nat->int)->Prop)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x179a758>, <kernel.DependentProduct object at 0x179a7e8>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring summable_nat:((nat->nat)->Prop)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x179a8c0>, <kernel.DependentProduct object at 0x179a878>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring summable_real:((nat->real)->Prop)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179a908>, <kernel.DependentProduct object at 0x179a950>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179a518>, <kernel.DependentProduct object at 0x179a9e0>) of role type named sy_c_Series_Osums_001t__Int__Oint
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring sums_int:((nat->int)->(int->Prop))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179a878>, <kernel.DependentProduct object at 0x179a7e8>) of role type named sy_c_Series_Osums_001t__Nat__Onat
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring sums_nat:((nat->nat)->(nat->Prop))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179a998>, <kernel.DependentProduct object at 0x179aa70>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring sums_real:((nat->real)->(real->Prop))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179a7e8>, <kernel.DependentProduct object at 0x179ab48>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179a878>, <kernel.DependentProduct object at 0x179a518>) of role type named sy_c_Set_OCollect_001t__Extended____Nat__Oenat
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring collec4429806609662206161d_enat:((extended_enat->Prop)->set_Extended_enat)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179a9e0>, <kernel.DependentProduct object at 0x179ac20>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring collect_int:((int->Prop)->set_int)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179a950>, <kernel.DependentProduct object at 0x179a878>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Complex__Ocomplex_J
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring collect_list_complex:((list_complex->Prop)->set_list_complex)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179a518>, <kernel.DependentProduct object at 0x179a950>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Extended____Nat__Oenat_J
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring collec8433460942617342167d_enat:((list_Extended_enat->Prop)->set_li5464603477888414924d_enat)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179ac20>, <kernel.DependentProduct object at 0x179acf8>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Int__Oint_J
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring collect_list_int:((list_int->Prop)->set_list_int)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179ab90>, <kernel.DependentProduct object at 0x179ad40>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179ac20>, <kernel.DependentProduct object at 0x179ad88>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring collec5608196760682091941T_VEBT:((list_VEBT_VEBT->Prop)->set_list_VEBT_VEBT)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179aa70>, <kernel.DependentProduct object at 0x179ae60>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179ad40>, <kernel.DependentProduct object at 0x179ad88>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179aa70>, <kernel.DependentProduct object at 0x179ad40>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring collec3392354462482085612at_nat:((product_prod_nat_nat->Prop)->set_Pr1261947904930325089at_nat)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179abd8>, <kernel.DependentProduct object at 0x179afc8>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring collect_real:((real->Prop)->set_real)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179ae60>, <kernel.DependentProduct object at 0x179aa70>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring collect_set_complex:((set_complex->Prop)->set_set_complex)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179ad40>, <kernel.DependentProduct object at 0x17ac050>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring collec2260605976452661553d_enat:((set_Extended_enat->Prop)->set_se7270636423289371942d_enat)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179afc8>, <kernel.DependentProduct object at 0x17ac0e0>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Int__Oint_J
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring collect_set_int:((set_int->Prop)->set_set_int)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179af80>, <kernel.DependentProduct object at 0x17ac128>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring collect_set_nat:((set_nat->Prop)->set_set_nat)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179a7e8>, <kernel.DependentProduct object at 0x17ac1b8>) of role type named sy_c_Set_OPow_001t__Nat__Onat
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring pow_nat:(set_nat->set_set_nat)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179a7e8>, <kernel.DependentProduct object at 0x17ac098>) of role type named sy_c_Set_Oimage_001t__Extended____Nat__Oenat_001t__Extended____Nat__Oenat
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring image_80655429650038917d_enat:((extended_enat->extended_enat)->(set_Extended_enat->set_Extended_enat))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179ab90>, <kernel.DependentProduct object at 0x17ac098>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179a7e8>, <kernel.DependentProduct object at 0x17ac098>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Nat__Onat
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring image_int_nat:((int->nat)->(set_int->set_nat))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179af80>, <kernel.DependentProduct object at 0x17ac050>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Int__Oint
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring image_nat_int:((nat->int)->(set_nat->set_int))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x179af80>, <kernel.DependentProduct object at 0x17ac290>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x17ac2d8>, <kernel.DependentProduct object at 0x17ac248>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring image_nat_set_nat:((nat->set_nat)->(set_nat->set_set_nat))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x17ac128>, <kernel.DependentProduct object at 0x17ac1b8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x17ac200>, <kernel.DependentProduct object at 0x17ac170>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x17ac2d8>, <kernel.DependentProduct object at 0x17ac098>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x17ac128>, <kernel.DependentProduct object at 0x17ac200>) of role type named sy_c_Set_Oinsert_001t__Complex__Ocomplex
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring insert_complex:(complex->(set_complex->set_complex))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x17ac248>, <kernel.DependentProduct object at 0x17ac2d8>) of role type named sy_c_Set_Oinsert_001t__Extended____Nat__Oenat
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring insert_Extended_enat:(extended_enat->(set_Extended_enat->set_Extended_enat))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x17ac320>, <kernel.DependentProduct object at 0x17ac248>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring insert_int:(int->(set_int->set_int))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x17ac290>, <kernel.DependentProduct object at 0x17ac128>) of role type named sy_c_Set_Oinsert_001t__List__Olist_It__Nat__Onat_J
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring insert_list_nat:(list_nat->(set_list_nat->set_list_nat))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x17ac1b8>, <kernel.DependentProduct object at 0x17ac290>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x17ac5f0>, <kernel.DependentProduct object at 0x17ac128>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring insert_real:(real->(set_real->set_real))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x17ac638>, <kernel.DependentProduct object at 0x17ac2d8>) of role type named sy_c_Set_Oinsert_001t__Set__Oset_It__Nat__Onat_J
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring insert_set_nat:(set_nat->(set_set_nat->set_set_nat))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x17ac6c8>, <kernel.DependentProduct object at 0x17ac1b8>) of role type named sy_c_Set_Oinsert_001t__VEBT____Definitions__OVEBT
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring insert_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x17ac560>, <kernel.DependentProduct object at 0x17ac5f0>) of role type named sy_c_Set_Ovimage_001t__Nat__Onat_001t__Nat__Onat
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring vimage_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x17ac6c8>, <kernel.DependentProduct object at 0x17ac170>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Complex__Ocomplex
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring set_fo1517530859248394432omplex:((nat->(complex->complex))->(nat->(nat->(complex->complex))))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x17ac5f0>, <kernel.DependentProduct object at 0x17ac098>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Extended____Nat__Oenat
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring set_fo2538466533108834004d_enat:((nat->(extended_enat->extended_enat))->(nat->(nat->(extended_enat->extended_enat))))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x17ac170>, <kernel.DependentProduct object at 0x17ac128>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Int__Oint
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring set_fo2581907887559384638at_int:((nat->(int->int))->(nat->(nat->(int->int))))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x17ac098>, <kernel.DependentProduct object at 0x17ac560>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x17ac128>, <kernel.DependentProduct object at 0x17ac830>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Real__Oreal
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_fo3111899725591712190t_real:((nat->(real->real))->(nat->(nat->(real->real))))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17ac560>, <kernel.DependentProduct object at 0x17ac128>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Extended____Nat__Oenat
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or5403411693681687835d_enat:(extended_enat->(extended_enat->set_Extended_enat))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17ac830>, <kernel.DependentProduct object at 0x17ac560>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17ac128>, <kernel.DependentProduct object at 0x17ac830>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17ac560>, <kernel.DependentProduct object at 0x17ac128>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17ac830>, <kernel.DependentProduct object at 0x17ac560>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Int__Oint_J
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or370866239135849197et_int:(set_int->(set_int->set_set_int))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17ac128>, <kernel.DependentProduct object at 0x17ac830>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Nat__Onat_J
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or4548717258645045905et_nat:(set_nat->(set_nat->set_set_nat))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17ac560>, <kernel.DependentProduct object at 0x17ac128>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17ac830>, <kernel.DependentProduct object at 0x17ac560>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17ac290>, <kernel.DependentProduct object at 0x17ac908>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17ac830>, <kernel.DependentProduct object at 0x17acea8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Extended____Nat__Oenat
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or8332593352340944941d_enat:(extended_enat->set_Extended_enat)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17acd40>, <kernel.DependentProduct object at 0x17acf38>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Int__Oint
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_ord_atMost_int:(int->set_int)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17ac560>, <kernel.DependentProduct object at 0x17acf80>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17ac128>, <kernel.DependentProduct object at 0x17acfc8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Real__Oreal
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_ord_atMost_real:(real->set_real)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17ac560>, <kernel.DependentProduct object at 0x17af050>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Set__Oset_It__Int__Oint_J
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or58775011639299419et_int:(set_int->set_set_int)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17acfc8>, <kernel.DependentProduct object at 0x17af0e0>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Set__Oset_It__Nat__Onat_J
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or4236626031148496127et_nat:(set_nat->set_set_nat)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17acf80>, <kernel.DependentProduct object at 0x17af128>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17acf80>, <kernel.DependentProduct object at 0x17af1b8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17acea8>, <kernel.DependentProduct object at 0x17af248>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17af1b8>, <kernel.DependentProduct object at 0x17af2d8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17af128>, <kernel.DependentProduct object at 0x17af368>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17af200>, <kernel.DependentProduct object at 0x17af1b8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17af050>, <kernel.DependentProduct object at 0x17af4d0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Extended____Nat__Oenat
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or8419480210114673929d_enat:(extended_enat->set_Extended_enat)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17af128>, <kernel.DependentProduct object at 0x17af560>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Int__Oint
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_ord_lessThan_int:(int->set_int)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17af320>, <kernel.DependentProduct object at 0x17af5a8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17af128>, <kernel.DependentProduct object at 0x17af5f0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17af5a8>, <kernel.DependentProduct object at 0x17af680>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Set__Oset_It__Nat__Onat_J
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring set_or890127255671739683et_nat:(set_nat->set_set_nat)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17af5f0>, <kernel.DependentProduct object at 0x17af710>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17af680>, <kernel.DependentProduct object at 0x17af7a0>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17af710>, <kernel.DependentProduct object at 0x17af7e8>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17af7a0>, <kernel.DependentProduct object at 0x17af710>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x17af7e8>, <kernel.DependentProduct object at 0x17af488>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x17af710>, <kernel.DependentProduct object at 0x17af998>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x17af8c0>, <kernel.DependentProduct object at 0x17afa70>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring arcosh_real:(real->real)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x17af908>, <kernel.DependentProduct object at 0x17afab8>) of role type named sy_c_Transcendental_Oarctan
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring arctan:(real->real)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x17af680>, <kernel.DependentProduct object at 0x17afb00>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring arsinh_real:(real->real)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x17af998>, <kernel.DependentProduct object at 0x17afb48>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring artanh_real:(real->real)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x17afa70>, <kernel.DependentProduct object at 0x17afb90>) of role type named sy_c_Transcendental_Ocos_001t__Complex__Ocomplex
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring cos_complex:(complex->complex)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x17afab8>, <kernel.DependentProduct object at 0x17afbd8>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring cos_real:(real->real)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x17af290>, <kernel.DependentProduct object at 0x17afc68>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring cos_coeff:(nat->real)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x17afb90>, <kernel.DependentProduct object at 0x17afc68>) of role type named sy_c_Transcendental_Odiffs_001t__Complex__Ocomplex
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring diffs_complex:((nat->complex)->(nat->complex))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x17afa70>, <kernel.DependentProduct object at 0x17af680>) of role type named sy_c_Transcendental_Odiffs_001t__Int__Oint
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring diffs_int:((nat->int)->(nat->int))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x17afbd8>, <kernel.DependentProduct object at 0x17afab8>) of role type named sy_c_Transcendental_Odiffs_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring diffs_real:((nat->real)->(nat->real))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x17afb90>, <kernel.DependentProduct object at 0x17af290>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring exp_real:(real->real)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x17afcb0>, <kernel.DependentProduct object at 0x17afc68>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring ln_ln_real:(real->real)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x17afb48>, <kernel.DependentProduct object at 0x17afb90>) of role type named sy_c_Transcendental_Olog
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring log:(real->(real->real))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x17afdd0>, <kernel.Constant object at 0x17afb90>) of role type named sy_c_Transcendental_Opi
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring pi:real
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x17afc68>, <kernel.DependentProduct object at 0x17afb48>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring powr_real:(real->(real->real))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x17afab8>, <kernel.DependentProduct object at 0x17afea8>) of role type named sy_c_Transcendental_Osin_001t__Complex__Ocomplex
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring sin_complex:(complex->complex)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x17afa70>, <kernel.DependentProduct object at 0x17af290>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring sin_real:(real->real)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x17afb00>, <kernel.DependentProduct object at 0x17aff80>) of role type named sy_c_Transcendental_Osin__coeff
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring sin_coeff:(nat->real)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17afea8>, <kernel.DependentProduct object at 0x17afa70>) of role type named sy_c_Transcendental_Otan_001t__Complex__Ocomplex
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring tan_complex:(complex->complex)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17aff80>, <kernel.DependentProduct object at 0x17affc8>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring tan_real:(real->real)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17afea8>, <kernel.DependentProduct object at 0x17afdd0>) of role type named sy_c_Transfer_Obi__total_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring bi_tot896582865486249351at_int:((product_prod_nat_nat->(int->Prop))->Prop)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17affc8>, <kernel.DependentProduct object at 0x17b1050>) of role type named sy_c_Transitive__Closure_Ortrancl_001t__Nat__Onat
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring transi2905341329935302413cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17afdd0>, <kernel.DependentProduct object at 0x17b1128>) of role type named sy_c_Transitive__Closure_Otrancl_001t__Nat__Onat
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring transi6264000038957366511cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17afb90>, <kernel.DependentProduct object at 0x17b1200>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17afdd0>, <kernel.DependentProduct object at 0x17b10e0>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17afb00>, <kernel.DependentProduct object at 0x17b1098>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b10e0>, <kernel.DependentProduct object at 0x17b1128>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17afdd0>, <kernel.DependentProduct object at 0x17b1200>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oelim__dead
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_VEBT_elim_dead:(vEBT_VEBT->(extended_enat->vEBT_VEBT))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1320>, <kernel.DependentProduct object at 0x17b1368>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b10e0>, <kernel.DependentProduct object at 0x17b1320>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b12d8>, <kernel.DependentProduct object at 0x17b1368>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b14d0>, <kernel.DependentProduct object at 0x17b10e0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b12d8>, <kernel.DependentProduct object at 0x17b1320>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b10e0>, <kernel.DependentProduct object at 0x17b12d8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1320>, <kernel.DependentProduct object at 0x17b1368>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b15a8>, <kernel.DependentProduct object at 0x17b12d8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1680>, <kernel.DependentProduct object at 0x17b12d8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1248>, <kernel.DependentProduct object at 0x17b1680>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1710>, <kernel.DependentProduct object at 0x17b17a0>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1368>, <kernel.DependentProduct object at 0x17b12d8>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1248>, <kernel.DependentProduct object at 0x17b1368>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1758>, <kernel.DependentProduct object at 0x17b1248>) of role type named sy_c_VEBT__Insert_Ovebt__insert
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_vebt_insert:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1908>, <kernel.DependentProduct object at 0x17b1758>) of role type named sy_c_VEBT__Insert_Ovebt__insert__rel
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_vebt_insert_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1830>, <kernel.DependentProduct object at 0x17b1368>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b17a0>, <kernel.DependentProduct object at 0x17b1710>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1908>, <kernel.DependentProduct object at 0x17b1a70>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b17e8>, <kernel.DependentProduct object at 0x17b1908>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1830>, <kernel.DependentProduct object at 0x17b17e8>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1710>, <kernel.DependentProduct object at 0x17b12d8>) of role type named sy_c_Wellfounded_Oaccp_001t__List__Olist_It__Nat__Onat_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring accp_list_nat:((list_nat->(list_nat->Prop))->(list_nat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b17e8>, <kernel.DependentProduct object at 0x17b1878>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1710>, <kernel.DependentProduct object at 0x17b17a0>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1878>, <kernel.DependentProduct object at 0x17b1b48>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b17a0>, <kernel.DependentProduct object at 0x17b1830>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1758>, <kernel.Constant object at 0x17b1cb0>) of role type named sy_c_Wellfounded_Oless__than
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring less_than:set_Pr1261947904930325089at_nat
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1c20>, <kernel.Constant object at 0x17b1cb0>) of role type named sy_c_Wellfounded_Opred__nat
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring pred_nat:set_Pr1261947904930325089at_nat
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1bd8>, <kernel.DependentProduct object at 0x17b1d40>) of role type named sy_c_Wellfounded_Owf_001t__Int__Oint
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring wf_int:(set_Pr958786334691620121nt_int->Prop)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1830>, <kernel.DependentProduct object at 0x17b1d88>) of role type named sy_c_Wellfounded_Owf_001t__Nat__Onat
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring wf_nat:(set_Pr1261947904930325089at_nat->Prop)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1710>, <kernel.DependentProduct object at 0x17b1830>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring member_complex:(complex->(set_complex->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1dd0>, <kernel.DependentProduct object at 0x17b1bd8>) of role type named sy_c_member_001t__Extended____Nat__Oenat
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring member_Extended_enat:(extended_enat->(set_Extended_enat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1cb0>, <kernel.DependentProduct object at 0x17b1d88>) of role type named sy_c_member_001t__Int__Oint
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring member_int:(int->(set_int->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1830>, <kernel.DependentProduct object at 0x17b1dd0>) of role type named sy_c_member_001t__List__Olist_It__Int__Oint_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring member_list_int:(list_int->(set_list_int->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1d40>, <kernel.DependentProduct object at 0x17b1cb0>) of role type named sy_c_member_001t__List__Olist_It__Nat__Onat_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring member_list_nat:(list_nat->(set_list_nat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1830>, <kernel.DependentProduct object at 0x17b1d40>) of role type named sy_c_member_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring member2936631157270082147T_VEBT:(list_VEBT_VEBT->(set_list_VEBT_VEBT->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1bd8>, <kernel.DependentProduct object at 0x17b1cb0>) of role type named sy_c_member_001t__Nat__Onat
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring member_nat:(nat->(set_nat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1fc8>, <kernel.DependentProduct object at 0x17b4098>) of role type named sy_c_member_001t__Num__Onum
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring member_num:(num->(set_num->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1bd8>, <kernel.DependentProduct object at 0x17b4098>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring member5262025264175285858nt_int:(product_prod_int_int->(set_Pr958786334691620121nt_int->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x17b1d40>, <kernel.DependentProduct object at 0x17b4050>) of role type named sy_c_member_001t__Product____Type__Oprod_It__List__Olist_It__Int__Oint_J_Mt__List__Olist_It__Int__Oint_J_J
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring member6698963635872716290st_int:(produc1186641810826059865st_int->(set_Pr765067013931698361st_int->Prop))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b1d40>, <kernel.DependentProduct object at 0x17b4050>) of role type named sy_c_member_001t__Product____Type__Oprod_It__List__Olist_It__Nat__Onat_J_Mt__List__Olist_It__Nat__Onat_J_J
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring member7340969449405702474st_nat:(produc1828647624359046049st_nat->(set_Pr3451248702717554689st_nat->Prop))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b1fc8>, <kernel.DependentProduct object at 0x17b4050>) of role type named sy_c_member_001t__Product____Type__Oprod_It__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring member6693912407220327184at_nat:(produc6392793444374437607at_nat->(set_Pr1542805901266377927at_nat->Prop))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b4290>, <kernel.DependentProduct object at 0x17b4050>) of role type named sy_c_member_001t__Product____Type__Oprod_It__List__Olist_It__VEBT____Definitions__OVEBT_J_Mt__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring member4439316823752958928T_VEBT:(produc9211091688327510695T_VEBT->(set_Pr1916528119006554503T_VEBT->Prop))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b4170>, <kernel.DependentProduct object at 0x17b4368>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring member8440522571783428010at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b4320>, <kernel.DependentProduct object at 0x17b4368>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring member8206827879206165904at_nat:(produc859450856879609959at_nat->(set_Pr8693737435421807431at_nat->Prop))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b4200>, <kernel.DependentProduct object at 0x17b4368>) of role type named sy_c_member_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring member373505688050248522BT_nat:(produc9072475918466114483BT_nat->(set_Pr7556676689462069481BT_nat->Prop))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b4320>, <kernel.DependentProduct object at 0x17b4488>) of role type named sy_c_member_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring member568628332442017744T_VEBT:(produc8243902056947475879T_VEBT->(set_Pr6192946355708809607T_VEBT->Prop))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b43b0>, <kernel.DependentProduct object at 0x17b4320>) of role type named sy_c_member_001t__Real__Oreal
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring member_real:(real->(set_real->Prop))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b4200>, <kernel.DependentProduct object at 0x17b4368>) of role type named sy_c_member_001t__Set__Oset_It__Int__Oint_J
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring member_set_int:(set_int->(set_set_int->Prop))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b4518>, <kernel.DependentProduct object at 0x17b4488>) of role type named sy_c_member_001t__Set__Oset_It__Nat__Onat_J
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring member_set_nat:(set_nat->(set_set_nat->Prop))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b4320>, <kernel.DependentProduct object at 0x17b4200>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b45a8>, <kernel.Constant object at 0x17b4200>) of role type named sy_v_deg____
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring deg:nat
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b4488>, <kernel.Constant object at 0x17b4200>) of role type named sy_v_i____
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring i:nat
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b43b0>, <kernel.Constant object at 0x17b4200>) of role type named sy_v_m____
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring m:nat
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b4710>, <kernel.Constant object at 0x17b4200>) of role type named sy_v_ma____
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring ma:nat
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b4680>, <kernel.Constant object at 0x17b4200>) of role type named sy_v_mi____
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring mi:nat
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b4758>, <kernel.Constant object at 0x17b4200>) of role type named sy_v_na____
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring na:nat
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b47a0>, <kernel.Constant object at 0x17b4200>) of role type named sy_v_summary____
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring summary:vEBT_VEBT
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b47e8>, <kernel.Constant object at 0x17b4200>) of role type named sy_v_treeList____
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring treeList:list_VEBT_VEBT
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x17b4830>, <kernel.Constant object at 0x17b4200>) of role type named sy_v_xa____
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring xa:nat
% 0.66/0.85 FOF formula (((eq nat) i) ((vEBT_VEBT_high mi) na)) of role axiom named fact_0_True
% 0.66/0.85 A new axiom: (((eq nat) i) ((vEBT_VEBT_high mi) na))
% 0.66/0.85 FOF formula (((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high mi) na)) ((vEBT_vebt_insert ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high mi) na))) ((vEBT_VEBT_low mi) na)))) ((vEBT_VEBT_high mi) na))) ((vEBT_vebt_insert ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high mi) na))) ((vEBT_VEBT_low mi) na))) of role axiom named fact_1_insprop
% 0.66/0.85 A new axiom: (((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high mi) na)) ((vEBT_vebt_insert ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high mi) na))) ((vEBT_VEBT_low mi) na)))) ((vEBT_VEBT_high mi) na))) ((vEBT_vebt_insert ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high mi) na))) ((vEBT_VEBT_low mi) na)))
% 0.66/0.85 FOF formula (forall (X:nat) (D:nat), (((eq nat) (((vEBT_VEBT_bit_concat ((vEBT_VEBT_high X) D)) ((vEBT_VEBT_low X) D)) D)) X)) of role axiom named fact_2_bit__split__inv
% 0.66/0.85 A new axiom: (forall (X:nat) (D:nat), (((eq nat) (((vEBT_VEBT_bit_concat ((vEBT_VEBT_high X) D)) ((vEBT_VEBT_low X) D)) D)) X))
% 0.66/0.85 FOF formula (vEBT_VEBT_minNull ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high mi) na))) of role axiom named fact_3_tc
% 0.66/0.85 A new axiom: (vEBT_VEBT_minNull ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high mi) na)))
% 0.66/0.85 <<<EBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) ).
% 0.66/0.85
% 0.66/0.85 % tc
% 0.66/0.85 thf(fact_4__C161_C,axiom,
% 0.66/0.85 ~ ?>>>!!!<<< [X_1: nat] : ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na>>>
% 0.66/0.85 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, 11, 22, 30, 36, 43, 50, 124]
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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, LexToken(THF,'thf',1,124132), LexToken(LPAR,'(',1,124135), name, LexToken(COMMA,',',1,124150), formula_role, LexToken(COMMA,',',1,124156), unary_connective]
% 0.66/0.85 Unexpected exception Syntax error at '?':QUESTION
% 0.66/0.85 Traceback (most recent call last):
% 0.66/0.85 File "CASC.py", line 79, in <module>
% 0.66/0.85 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.66/0.85 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.66/0.85 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.66/0.85 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.66/0.85 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.66/0.85 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.66/0.85 tok = self.errorfunc(errtoken)
% 0.66/0.85 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.66/0.85 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.66/0.85 TPTPparser.TPTPParsingError: Syntax error at '?':QUESTION
%------------------------------------------------------------------------------