TSTP Solution File: ITP275^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP275^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n032.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 17:47:56 EDT 2022
% Result : Unknown 0.71s 0.92s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ITP275^3 : TPTP v7.6.0. Released v7.6.0.
% 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.31 Computer : n032.cluster.edu
% 0.08/0.31 Model : x86_64 x86_64
% 0.08/0.31 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31 RAMPerCPU : 8042.1875MB
% 0.08/0.31 OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % DateTime : Fri Mar 18 15:35:09 EDT 2022
% 0.12/0.31 % CPUTime :
% 0.12/0.32 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.32 Python 2.7.5
% 0.13/0.55 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x20b7518>, <kernel.Type object at 0x2b634ada9b90>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring produc5542196010084753463at_nat:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x20b7518>, <kernel.Type object at 0x2b634ada9b48>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring produc5491161045314408544at_nat:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x20b7248>, <kernel.Type object at 0x2b634ada9560>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Num__Onum_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring produc1193250871479095198on_num:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x2b634ada99e0>, <kernel.Type object at 0x2b634ada95f0>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring produc8306885398267862888on_nat:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x2b634ada9830>, <kernel.Type object at 0x2b634ada9d40>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring produc6121120109295599847at_nat:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x2b634ada9878>, <kernel.Type object at 0x2b634ada99e0>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring produc7036089656553540234on_num:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x2b634ada9710>, <kernel.Type object at 0x2095ea8>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring produc2233624965454879586on_nat:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x2b634ada9fc8>, <kernel.Type object at 0x221ef80>) of role type named ty_n_t__Set__Oset_It__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring set_fi4554929511873752355omplex:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x2b634ada9710>, <kernel.Type object at 0x221efc8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring list_P7413028617227757229T_VEBT:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x2b634ada9710>, <kernel.Type object at 0x221eef0>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring produc3447558737645232053on_num:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x2b634ada9fc8>, <kernel.Type object at 0x221ee60>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring produc4953844613479565601on_nat:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x221edd0>, <kernel.Type object at 0x221ee18>) of role type named ty_n_t__Set__Oset_It__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring set_fi7789364187291644575l_real:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x221ed88>, <kernel.Type object at 0x221eea8>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring filter6041513312241820739omplex:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x221ed40>, <kernel.Type object at 0x221edd0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring list_P7037539587688870467BT_nat:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x221ec68>, <kernel.Type object at 0x221ebd8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring list_P4547456442757143711BT_int:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x221ed40>, <kernel.Type object at 0x221ed88>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring list_P5647936690300460905T_VEBT:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x221eb48>, <kernel.Type object at 0x221ec68>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring produc8243902056947475879T_VEBT:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x221eab8>, <kernel.Type object at 0x221ed40>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring set_Pr5085853215250843933omplex:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x221ea28>, <kernel.Type object at 0x221eb48>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring produc8923325533196201883nteger:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x221e998>, <kernel.Type object at 0x221eab8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring list_P3126845725202233233VEBT_o:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x221e908>, <kernel.Type object at 0x221ea28>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring list_P7495141550334521929T_VEBT:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x221e878>, <kernel.Type object at 0x221e998>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring filter2146258269922977983l_real:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x221e758>, <kernel.Type object at 0x221e908>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring list_P8526636022914148096eger_o:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x221e6c8>, <kernel.Type object at 0x221e878>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring option4927543243414619207at_nat:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x221e638>, <kernel.Type object at 0x221e758>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring set_Pr6218003697084177305l_real:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x221e5a8>, <kernel.Type object at 0x221e6c8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.13/0.55 Using role type
% 0.13/0.55 Declaring list_P3744719386663036955um_num:Type
% 0.13/0.55 FOF formula (<kernel.Constant object at 0x221e518>, <kernel.Type object at 0x221e638>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring produc9072475918466114483BT_nat:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x221e488>, <kernel.Type object at 0x221e5a8>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring produc4894624898956917775BT_int:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x221e3f8>, <kernel.Type object at 0x221e518>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring set_Pr1261947904930325089at_nat:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x221e368>, <kernel.Type object at 0x221e488>) of role type named ty_n_t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring produc4411394909380815293omplex:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x221e2d8>, <kernel.Type object at 0x221e3f8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring list_P7333126701944960589_nat_o:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x221e248>, <kernel.Type object at 0x221e368>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring list_P6285523579766656935_o_nat:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x221e1b8>, <kernel.Type object at 0x221e2d8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring list_P3795440434834930179_o_int:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x221e248>, <kernel.Type object at 0x2352e18>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring set_list_VEBT_VEBT:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x221e1b8>, <kernel.Type object at 0x2352e18>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring produc334124729049499915VEBT_o:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x221e1b8>, <kernel.Type object at 0x2352950>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring produc2504756804600209347T_VEBT:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x221e248>, <kernel.Type object at 0x221e098>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring produc6271795597528267376eger_o:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x2352e60>, <kernel.Type object at 0x20b2fc8>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring produc2422161461964618553l_real:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x221e098>, <kernel.Type object at 0x20b2f80>) of role type named ty_n_t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring product_prod_num_num:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x2352950>, <kernel.Type object at 0x20b2c68>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring product_prod_nat_num:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x23529e0>, <kernel.Type object at 0x20b2d40>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring product_prod_nat_nat:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x2352e60>, <kernel.Type object at 0x20b2c68>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring product_prod_int_int:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x20b2ef0>, <kernel.Type object at 0x20ba710>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring list_P4002435161011370285od_o_o:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x20b2c68>, <kernel.Type object at 0x20bafc8>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Complex__Ocomplex_J_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring set_list_complex:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x20b2fc8>, <kernel.Type object at 0x20ba998>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring list_VEBT_VEBT:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x20b2ef0>, <kernel.Type object at 0x20ba950>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring set_list_nat:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x20b2fc8>, <kernel.Type object at 0x20ba830>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Int__Oint_J_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring set_list_int:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x20b2c68>, <kernel.Type object at 0x20ba7e8>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring product_prod_o_nat:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x20b2c68>, <kernel.Type object at 0x20baea8>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring product_prod_o_int:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x20ba8c0>, <kernel.Type object at 0x20ba7e8>) of role type named ty_n_t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring list_set_nat:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x20baea8>, <kernel.Type object at 0x22272d8>) of role type named ty_n_t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring list_Code_integer:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x20ba7e8>, <kernel.Type object at 0x22272d8>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring set_VEBT_VEBT:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x20ba7a0>, <kernel.Type object at 0x2227290>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring set_set_nat:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x20ba8c0>, <kernel.Type object at 0x2227248>) of role type named ty_n_t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring set_Extended_enat:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x20ba7e8>, <kernel.Type object at 0x2227170>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring list_complex:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x20ba8c0>, <kernel.Type object at 0x22271b8>) of role type named ty_n_t__Set__Oset_It__List__Olist_I_Eo_J_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring set_list_o:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x20ba7a0>, <kernel.Type object at 0x22270e0>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring product_prod_o_o:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x20ba7a0>, <kernel.Type object at 0x2227128>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring set_complex:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x2227200>, <kernel.Type object at 0x2227050>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring filter_real:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x22272d8>, <kernel.Type object at 0x2227098>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring option_num:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x2227290>, <kernel.Type object at 0x2227368>) of role type named ty_n_t__Option__Ooption_It__Nat__Onat_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring option_nat:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x2227200>, <kernel.Type object at 0x22273b0>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring filter_nat:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x22272d8>, <kernel.Type object at 0x22273f8>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring set_char:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x2227290>, <kernel.Type object at 0x2227440>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring list_real:Type
% 0.13/0.56 FOF formula (<kernel.Constant object at 0x2227248>, <kernel.Type object at 0x22273f8>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.13/0.56 Using role type
% 0.13/0.56 Declaring set_real:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227200>, <kernel.Type object at 0x22274d0>) of role type named ty_n_t__List__Olist_It__Num__Onum_J
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring list_num:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227290>, <kernel.Type object at 0x2227560>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring list_nat:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x22273b0>, <kernel.Type object at 0x22275a8>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring list_int:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227248>, <kernel.Type object at 0x22275f0>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring vEBT_VEBT:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227200>, <kernel.Type object at 0x2227638>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring set_rat:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227290>, <kernel.Type object at 0x2227680>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring set_num:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x22273b0>, <kernel.Type object at 0x22276c8>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring set_nat:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227248>, <kernel.Type object at 0x2227710>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring set_int:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227200>, <kernel.Type object at 0x2227758>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring code_integer:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227290>, <kernel.Type object at 0x22277a0>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring extended_enat:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227248>, <kernel.Type object at 0x2227710>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring list_o:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x22272d8>, <kernel.Type object at 0x2227830>) of role type named ty_n_t__Complex__Ocomplex
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring complex:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227200>, <kernel.Type object at 0x2227758>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring set_o:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227248>, <kernel.Type object at 0x2227878>) of role type named ty_n_t__String__Ochar
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring char:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x22272d8>, <kernel.Type object at 0x22278c0>) of role type named ty_n_t__Real__Oreal
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring real:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227200>, <kernel.Type object at 0x2227908>) of role type named ty_n_t__Rat__Orat
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring rat:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227248>, <kernel.Type object at 0x2227950>) of role type named ty_n_t__Num__Onum
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring num:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x22272d8>, <kernel.Type object at 0x2227998>) of role type named ty_n_t__Nat__Onat
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring nat:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227200>, <kernel.Type object at 0x22279e0>) of role type named ty_n_t__Int__Oint
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring int:Type
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227200>, <kernel.DependentProduct object at 0x2227b90>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring archim7802044766580827645g_real:(real->int)
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227a28>, <kernel.DependentProduct object at 0x2227c20>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring archim6058952711729229775r_real:(real->int)
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227b90>, <kernel.DependentProduct object at 0x2227cb0>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227c20>, <kernel.DependentProduct object at 0x2227d40>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring archim8280529875227126926d_real:(real->int)
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x22273b0>, <kernel.DependentProduct object at 0x2227cb0>) of role type named sy_c_Binomial_Obinomial
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring binomial:(nat->(nat->nat))
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x22272d8>, <kernel.DependentProduct object at 0x22273b0>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227dd0>, <kernel.DependentProduct object at 0x2227cb0>) of role type named sy_c_Bit__Operations_Oand__not__num
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring bit_and_not_num:(num->(num->option_num))
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227e60>, <kernel.DependentProduct object at 0x22272d8>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227b90>, <kernel.DependentProduct object at 0x2227c20>) of role type named sy_c_Bit__Operations_Oor__not__num__neg
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring bit_or_not_num_neg:(num->(num->num))
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227dd0>, <kernel.DependentProduct object at 0x2227ef0>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227c20>, <kernel.DependentProduct object at 0x2227dd0>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227ef0>, <kernel.DependentProduct object at 0x2227d40>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227dd0>, <kernel.DependentProduct object at 0x2227fc8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Code____Numeral__Ointeger
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring bit_se3949692690581998587nteger:(code_integer->(code_integer->code_integer))
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227dd0>, <kernel.DependentProduct object at 0x20a1098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227dd0>, <kernel.DependentProduct object at 0x20a1200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x2227ef0>, <kernel.DependentProduct object at 0x20a1290>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x20a1200>, <kernel.DependentProduct object at 0x20a1320>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x20a1098>, <kernel.DependentProduct object at 0x20a13b0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.13/0.57 FOF formula (<kernel.Constant object at 0x20a1248>, <kernel.DependentProduct object at 0x20a1440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.13/0.57 Using role type
% 0.13/0.57 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a1128>, <kernel.DependentProduct object at 0x20a1248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a1440>, <kernel.DependentProduct object at 0x20a1200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Code____Numeral__Ointeger
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se2119862282449309892nteger:(nat->code_integer)
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a1248>, <kernel.DependentProduct object at 0x20a1638>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a1200>, <kernel.DependentProduct object at 0x20a16c8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a1638>, <kernel.DependentProduct object at 0x20a1200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Code____Numeral__Ointeger
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se1080825931792720795nteger:(code_integer->(code_integer->code_integer))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a16c8>, <kernel.DependentProduct object at 0x20a1638>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a1200>, <kernel.DependentProduct object at 0x20a16c8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a1638>, <kernel.DependentProduct object at 0x20a1200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a16c8>, <kernel.DependentProduct object at 0x20a1638>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a1200>, <kernel.DependentProduct object at 0x20a16c8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a1638>, <kernel.DependentProduct object at 0x20a1200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a16c8>, <kernel.DependentProduct object at 0x20a1638>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a1200>, <kernel.DependentProduct object at 0x20a16c8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Code____Numeral__Ointeger
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se1745604003318907178nteger:(nat->(code_integer->code_integer))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a1638>, <kernel.DependentProduct object at 0x20a1200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a16c8>, <kernel.DependentProduct object at 0x20a1638>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a1200>, <kernel.DependentProduct object at 0x20a16c8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a1638>, <kernel.DependentProduct object at 0x20a1200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a16c8>, <kernel.DependentProduct object at 0x20a1638>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a1200>, <kernel.DependentProduct object at 0x20a16c8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a1638>, <kernel.DependentProduct object at 0x20a1200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a16c8>, <kernel.DependentProduct object at 0x20a4098>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Code____Numeral__Ointeger
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se9216721137139052372nteger:(code_integer->(nat->Prop))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a1200>, <kernel.DependentProduct object at 0x20a4050>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a1200>, <kernel.DependentProduct object at 0x20a4128>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a1fc8>, <kernel.DependentProduct object at 0x20a41b8>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a4050>, <kernel.DependentProduct object at 0x20a42d8>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oand__num
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_un1837492267222099188nd_num:(num->(num->option_num))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a4290>, <kernel.DependentProduct object at 0x20a4128>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oxor__num
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_un6178654185764691216or_num:(num->(num->option_num))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a40e0>, <kernel.DependentProduct object at 0x20a4368>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_un7362597486090784418nd_num:(num->(num->option_num))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a4248>, <kernel.DependentProduct object at 0x20a40e0>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring bit_un2480387367778600638or_num:(num->(num->option_num))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a4290>, <kernel.DependentProduct object at 0x20a4368>) of role type named sy_c_Code__Numeral_Obit__cut__integer
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring code_bit_cut_integer:(code_integer->produc6271795597528267376eger_o)
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a4170>, <kernel.DependentProduct object at 0x20a4290>) of role type named sy_c_Code__Numeral_Odivmod__abs
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring code_divmod_abs:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a43b0>, <kernel.DependentProduct object at 0x20a4368>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a4560>, <kernel.DependentProduct object at 0x20a4050>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring code_int_of_integer:(code_integer->int)
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a4368>, <kernel.DependentProduct object at 0x20a4638>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring code_integer_of_int:(int->code_integer)
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a4518>, <kernel.DependentProduct object at 0x20a45f0>) of role type named sy_c_Code__Numeral_Ointeger__of__num
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring code_integer_of_num:(num->code_integer)
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a43b0>, <kernel.DependentProduct object at 0x20a4680>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring code_nat_of_integer:(code_integer->nat)
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a4050>, <kernel.DependentProduct object at 0x20a46c8>) of role type named sy_c_Code__Numeral_Onum__of__integer
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring code_num_of_integer:(code_integer->num)
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a43b0>, <kernel.DependentProduct object at 0x20a4050>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring comple8358262395181532106omplex:(set_fi4554929511873752355omplex->filter6041513312241820739omplex)
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a46c8>, <kernel.DependentProduct object at 0x20a43b0>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring comple2936214249959783750l_real:(set_fi7789364187291644575l_real->filter2146258269922977983l_real)
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a4518>, <kernel.DependentProduct object at 0x20a4830>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Nat__Onat
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring complete_Inf_Inf_nat:(set_nat->nat)
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a46c8>, <kernel.DependentProduct object at 0x20a4878>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Real__Oreal
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring comple4887499456419720421f_real:(set_real->real)
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a4830>, <kernel.DependentProduct object at 0x20a4908>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Nat__Onat_J
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring comple7806235888213564991et_nat:(set_set_nat->set_nat)
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a45f0>, <kernel.DependentProduct object at 0x20a4998>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Nat__Onat
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring complete_Sup_Sup_nat:(set_nat->nat)
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a4830>, <kernel.DependentProduct object at 0x20a49e0>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Real__Oreal
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring comple1385675409528146559p_real:(set_real->real)
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a4050>, <kernel.DependentProduct object at 0x20a4a70>) of role type named sy_c_Complex_OArg
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring arg:(complex->real)
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a4908>, <kernel.DependentProduct object at 0x20a4ab8>) of role type named sy_c_Complex_Ocis
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring cis:(real->complex)
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a4878>, <kernel.DependentProduct object at 0x20a4b00>) of role type named sy_c_Complex_Ocnj
% 0.13/0.58 Using role type
% 0.13/0.58 Declaring cnj:(complex->complex)
% 0.13/0.58 FOF formula (<kernel.Constant object at 0x20a45a8>, <kernel.DependentProduct object at 0x20a4878>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring complex2:(real->(real->complex))
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20a4b90>, <kernel.DependentProduct object at 0x20a4c20>) of role type named sy_c_Complex_Ocomplex_OIm
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring im:(complex->real)
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20a4878>, <kernel.DependentProduct object at 0x20a4bd8>) of role type named sy_c_Complex_Ocomplex_ORe
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring re:(complex->real)
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20a4830>, <kernel.DependentProduct object at 0x20a4ab8>) of role type named sy_c_Complex_Ocsqrt
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring csqrt:(complex->complex)
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20a49e0>, <kernel.Constant object at 0x20a4c20>) of role type named sy_c_Complex_Oimaginary__unit
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring imaginary_unit:complex
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20a4878>, <kernel.DependentProduct object at 0x20a4b00>) of role type named sy_c_Deriv_Odifferentiable_001t__Real__Oreal_001t__Real__Oreal
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring differ6690327859849518006l_real:((real->real)->(filter_real->Prop))
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20a49e0>, <kernel.DependentProduct object at 0x20a4dd0>) of role type named sy_c_Deriv_Ohas__derivative_001t__Real__Oreal_001t__Real__Oreal
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring has_de1759254742604945161l_real:((real->real)->((real->real)->(filter_real->Prop)))
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20a4b00>, <kernel.DependentProduct object at 0x20a4d88>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20a4cf8>, <kernel.DependentProduct object at 0x20a4ea8>) of role type named sy_c_Divides_Oadjust__div
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring adjust_div:(product_prod_int_int->int)
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20a4c20>, <kernel.DependentProduct object at 0x20a4b00>) of role type named sy_c_Divides_Oadjust__mod
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring adjust_mod:(int->(int->int))
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20a4e60>, <kernel.DependentProduct object at 0x20a4cf8>) of role type named sy_c_Divides_Odivmod__nat
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20a45a8>, <kernel.DependentProduct object at 0x20a4e60>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20a4c20>, <kernel.DependentProduct object at 0x20a4d88>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Code____Numeral__Ointeger
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring unique5706413561485394159nteger:(produc8923325533196201883nteger->Prop)
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20a45a8>, <kernel.DependentProduct object at 0x20a4f80>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20a4d88>, <kernel.DependentProduct object at 0x20ab050>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20a4f80>, <kernel.DependentProduct object at 0x20ab128>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20a4f80>, <kernel.DependentProduct object at 0x20ab200>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20a45a8>, <kernel.DependentProduct object at 0x20ab248>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20ab200>, <kernel.DependentProduct object at 0x20ab320>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring unique4921790084139445826nteger:(num->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20ab368>, <kernel.DependentProduct object at 0x20ab3b0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20ab2d8>, <kernel.DependentProduct object at 0x20ab3f8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20ab1b8>, <kernel.DependentProduct object at 0x20ab368>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20ab3f8>, <kernel.DependentProduct object at 0x20ab560>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20ab368>, <kernel.DependentProduct object at 0x20ab5f0>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20ab560>, <kernel.DependentProduct object at 0x20ab680>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Complex__Ocomplex
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring invers8013647133539491842omplex:(complex->complex)
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20ab248>, <kernel.DependentProduct object at 0x20ab710>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring inverse_inverse_rat:(rat->rat)
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20ab5a8>, <kernel.DependentProduct object at 0x20ab758>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring inverse_inverse_real:(real->real)
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20ab638>, <kernel.Constant object at 0x20ab758>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring at_bot_real:filter_real
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20ab710>, <kernel.Constant object at 0x20ab758>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring at_top_nat:filter_nat
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20ab5f0>, <kernel.Constant object at 0x20ab758>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring at_top_real:filter_real
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20ab560>, <kernel.DependentProduct object at 0x20ab710>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20ab758>, <kernel.DependentProduct object at 0x20ab5f0>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.13/0.59 FOF formula (<kernel.Constant object at 0x20ab710>, <kernel.DependentProduct object at 0x20ab830>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.13/0.59 Using role type
% 0.13/0.59 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20ab950>, <kernel.DependentProduct object at 0x20ab8c0>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20ab9e0>, <kernel.DependentProduct object at 0x20ab908>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20ab950>, <kernel.DependentProduct object at 0x20ab9e0>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring princi3496590319149328850omplex:(set_Pr5085853215250843933omplex->filter6041513312241820739omplex)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20ab908>, <kernel.DependentProduct object at 0x20ab950>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring princi6114159922880469582l_real:(set_Pr6218003697084177305l_real->filter2146258269922977983l_real)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20ab320>, <kernel.DependentProduct object at 0x20abb48>) of role type named sy_c_Finite__Set_Ocard_001_Eo
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_card_o:(set_o->nat)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20aba70>, <kernel.DependentProduct object at 0x20ab908>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_card_complex:(set_complex->nat)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20abb48>, <kernel.DependentProduct object at 0x20abb90>) of role type named sy_c_Finite__Set_Ocard_001t__Int__Oint
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_card_int:(set_int->nat)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20ab710>, <kernel.DependentProduct object at 0x20abbd8>) of role type named sy_c_Finite__Set_Ocard_001t__List__Olist_It__Nat__Onat_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_card_list_nat:(set_list_nat->nat)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20ab320>, <kernel.DependentProduct object at 0x20abc20>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_card_nat:(set_nat->nat)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20ab908>, <kernel.DependentProduct object at 0x20abc68>) of role type named sy_c_Finite__Set_Ocard_001t__Set__Oset_It__Nat__Onat_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_card_set_nat:(set_set_nat->nat)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20abb90>, <kernel.DependentProduct object at 0x20abcb0>) of role type named sy_c_Finite__Set_Ocard_001t__String__Ochar
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_card_char:(set_char->nat)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20ab758>, <kernel.DependentProduct object at 0x20abcf8>) of role type named sy_c_Finite__Set_Ofinite_001_Eo
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_finite_o:(set_o->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20ab908>, <kernel.DependentProduct object at 0x20ab320>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20ab758>, <kernel.DependentProduct object at 0x20abd88>) of role type named sy_c_Finite__Set_Ofinite_001t__Extended____Nat__Oenat
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite4001608067531595151d_enat:(set_Extended_enat->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20ab908>, <kernel.DependentProduct object at 0x20abe18>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_finite_int:(set_int->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20ab320>, <kernel.DependentProduct object at 0x20abe60>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_I_Eo_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_finite_list_o:(set_list_o->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20ab908>, <kernel.DependentProduct object at 0x20abea8>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Complex__Ocomplex_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite8712137658972009173omplex:(set_list_complex->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20abe60>, <kernel.DependentProduct object at 0x20abf38>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Int__Oint_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite3922522038869484883st_int:(set_list_int->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20abea8>, <kernel.DependentProduct object at 0x20abfc8>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Nat__Onat_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite8100373058378681591st_nat:(set_list_nat->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20abf38>, <kernel.DependentProduct object at 0x222f098>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite3004134309566078307T_VEBT:(set_list_VEBT_VEBT->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20abea8>, <kernel.DependentProduct object at 0x222f128>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_finite_nat:(set_nat->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20abfc8>, <kernel.DependentProduct object at 0x222f170>) of role type named sy_c_Finite__Set_Ofinite_001t__Num__Onum
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_finite_num:(set_num->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20abea8>, <kernel.DependentProduct object at 0x222f1b8>) of role type named sy_c_Finite__Set_Ofinite_001t__Rat__Orat
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_finite_rat:(set_rat->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x20abfc8>, <kernel.DependentProduct object at 0x222f200>) of role type named sy_c_Finite__Set_Ofinite_001t__Real__Oreal
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_finite_real:(set_real->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x222f050>, <kernel.DependentProduct object at 0x222f248>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Nat__Onat_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite1152437895449049373et_nat:(set_set_nat->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x222f200>, <kernel.DependentProduct object at 0x222f2d8>) of role type named sy_c_Finite__Set_Ofinite_001t__VEBT____Definitions__OVEBT
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite5795047828879050333T_VEBT:(set_VEBT_VEBT->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x222f248>, <kernel.DependentProduct object at 0x222f200>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x222f3f8>, <kernel.DependentProduct object at 0x222f200>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x222f440>, <kernel.DependentProduct object at 0x222f368>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x222f3f8>, <kernel.DependentProduct object at 0x222f440>) of role type named sy_c_Fun_Ocomp_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring comp_C8797469213163452608nteger:(((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->(code_integer->code_integer))->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0x222f368>, <kernel.DependentProduct object at 0x222f3f8>) of role type named sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring comp_C1593894019821074884nteger:((code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->code_integer)->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f560>, <kernel.DependentProduct object at 0x222f5a8>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring comp_nat_nat_nat:((nat->nat)->((nat->nat)->(nat->nat)))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f248>, <kernel.DependentProduct object at 0x222f710>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Real__Oreal_001t__Nat__Onat
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring comp_nat_real_nat:((nat->real)->((nat->nat)->(nat->real)))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f2d8>, <kernel.DependentProduct object at 0x222f5f0>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Nat__Onat
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring inj_on_nat_nat:((nat->nat)->(set_nat->Prop))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f710>, <kernel.DependentProduct object at 0x222f200>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__String__Ochar
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring inj_on_nat_char:((nat->char)->(set_nat->Prop))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f5f0>, <kernel.DependentProduct object at 0x222f4d0>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Real__Oreal
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring inj_on_real_real:((real->real)->(set_real->Prop))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f710>, <kernel.DependentProduct object at 0x222f200>) of role type named sy_c_Fun_Ostrict__mono__on_001t__Nat__Onat_001t__Nat__Onat
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring strict1292158309912662752at_nat:((nat->nat)->(set_nat->Prop))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f4d0>, <kernel.DependentProduct object at 0x222f878>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f830>, <kernel.DependentProduct object at 0x222f908>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Int__Oint
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring gcd_Gcd_int:(set_int->int)
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f638>, <kernel.DependentProduct object at 0x222f8c0>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Nat__Onat
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring gcd_Gcd_nat:(set_nat->nat)
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f560>, <kernel.DependentProduct object at 0x222f830>) of role type named sy_c_GCD_Obezw
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring bezw:(nat->(nat->product_prod_int_int))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f7e8>, <kernel.DependentProduct object at 0x222f638>) of role type named sy_c_GCD_Obezw__rel
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring bezw_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f200>, <kernel.DependentProduct object at 0x222f560>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Code____Numeral__Ointeger
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring gcd_gcd_Code_integer:(code_integer->(code_integer->code_integer))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f950>, <kernel.DependentProduct object at 0x222f7e8>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Int__Oint
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring gcd_gcd_int:(int->(int->int))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f9e0>, <kernel.DependentProduct object at 0x222f200>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Nat__Onat
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring gcd_gcd_nat:(nat->(nat->nat))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f8c0>, <kernel.DependentProduct object at 0x222f950>) of role type named sy_c_GCD_Ogcd__nat__rel
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring gcd_nat_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f908>, <kernel.DependentProduct object at 0x222f998>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f7e8>, <kernel.DependentProduct object at 0x222fb00>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring abs_abs_complex:(complex->complex)
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222fab8>, <kernel.DependentProduct object at 0x222fb48>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring abs_abs_int:(int->int)
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f950>, <kernel.DependentProduct object at 0x222fb90>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring abs_abs_rat:(rat->rat)
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f998>, <kernel.DependentProduct object at 0x222fbd8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring abs_abs_real:(real->real)
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f950>, <kernel.DependentProduct object at 0x222fc68>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring minus_8727706125548526216plex_o:((complex->Prop)->((complex->Prop)->(complex->Prop)))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222fc20>, <kernel.DependentProduct object at 0x222fcb0>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Int__Oint_M_Eo_J
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring minus_minus_int_o:((int->Prop)->((int->Prop)->(int->Prop)))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222f950>, <kernel.DependentProduct object at 0x222fd88>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring minus_1139252259498527702_nat_o:((list_nat->Prop)->((list_nat->Prop)->(list_nat->Prop)))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222fc68>, <kernel.DependentProduct object at 0x222fd40>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Nat__Onat_M_Eo_J
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring minus_minus_nat_o:((nat->Prop)->((nat->Prop)->(nat->Prop)))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222fdd0>, <kernel.DependentProduct object at 0x222fe60>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Real__Oreal_M_Eo_J
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring minus_minus_real_o:((real->Prop)->((real->Prop)->(real->Prop)))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222fc68>, <kernel.DependentProduct object at 0x222fea8>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring minus_6910147592129066416_nat_o:((set_nat->Prop)->((set_nat->Prop)->(set_nat->Prop)))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222fe60>, <kernel.DependentProduct object at 0x222fc68>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring minus_8373710615458151222nteger:(code_integer->(code_integer->code_integer))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222fef0>, <kernel.DependentProduct object at 0x222fea8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222fe60>, <kernel.DependentProduct object at 0x222fef0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Extended____Nat__Oenat
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring minus_3235023915231533773d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222ff80>, <kernel.DependentProduct object at 0x222fea8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring minus_minus_int:(int->(int->int))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222fef0>, <kernel.DependentProduct object at 0x222ff38>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x222fea8>, <kernel.DependentProduct object at 0x222fdd0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring minus_minus_rat:(rat->(rat->rat))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x222ff38>, <kernel.DependentProduct object at 0x222fc68>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring minus_minus_real:(real->(real->real))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x222fef0>, <kernel.DependentProduct object at 0x2231128>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_I_Eo_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring minus_minus_set_o:(set_o->(set_o->set_o))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x222fef0>, <kernel.DependentProduct object at 0x2231200>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x222fc68>, <kernel.DependentProduct object at 0x2231050>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231128>, <kernel.DependentProduct object at 0x22312d8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring minus_7954133019191499631st_nat:(set_list_nat->(set_list_nat->set_list_nat))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x222fc68>, <kernel.DependentProduct object at 0x2231290>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x222fc68>, <kernel.DependentProduct object at 0x2231050>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231170>, <kernel.DependentProduct object at 0x2231128>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring minus_2163939370556025621et_nat:(set_set_nat->(set_set_nat->set_set_nat))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x22311b8>, <kernel.Constant object at 0x2231128>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring one_one_Code_integer:code_integer
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231320>, <kernel.Constant object at 0x2231128>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring one_one_complex:complex
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x22311b8>, <kernel.Constant object at 0x2231290>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231248>, <kernel.Constant object at 0x2231290>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring one_one_int:int
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231488>, <kernel.Constant object at 0x2231290>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring one_one_nat:nat
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x22314d0>, <kernel.Constant object at 0x2231290>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring one_one_rat:rat
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231518>, <kernel.Constant object at 0x2231290>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring one_one_real:real
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x22314d0>, <kernel.DependentProduct object at 0x2231518>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231680>, <kernel.DependentProduct object at 0x2231290>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x22314d0>, <kernel.DependentProduct object at 0x2231680>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231758>, <kernel.DependentProduct object at 0x2231290>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring plus_plus_int:(int->(int->int))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231560>, <kernel.DependentProduct object at 0x22314d0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231830>, <kernel.DependentProduct object at 0x2231758>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring plus_plus_num:(num->(num->num))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231518>, <kernel.DependentProduct object at 0x2231560>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231710>, <kernel.DependentProduct object at 0x2231830>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring plus_plus_real:(real->(real->real))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231680>, <kernel.DependentProduct object at 0x2231290>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231758>, <kernel.DependentProduct object at 0x22314d0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring sgn_sgn_complex:(complex->complex)
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231560>, <kernel.DependentProduct object at 0x22319e0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring sgn_sgn_int:(int->int)
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231830>, <kernel.DependentProduct object at 0x2231a28>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring sgn_sgn_rat:(rat->rat)
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231290>, <kernel.DependentProduct object at 0x2231a70>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring sgn_sgn_real:(real->real)
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231830>, <kernel.DependentProduct object at 0x2231290>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231ab8>, <kernel.DependentProduct object at 0x2231a70>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring times_times_complex:(complex->(complex->complex))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231830>, <kernel.DependentProduct object at 0x2231ab8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231b90>, <kernel.DependentProduct object at 0x2231a70>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring times_times_int:(int->(int->int))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x22314d0>, <kernel.DependentProduct object at 0x2231830>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring times_times_nat:(nat->(nat->nat))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2231c68>, <kernel.DependentProduct object at 0x2231b90>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring times_times_num:(num->(num->num))
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2231290>, <kernel.DependentProduct object at 0x22314d0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring times_times_rat:(rat->(rat->rat))
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2231b48>, <kernel.DependentProduct object at 0x2231c68>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring times_times_real:(real->(real->real))
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2231290>, <kernel.DependentProduct object at 0x2231b48>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring uminus1680532995456772888plex_o:((complex->Prop)->(complex->Prop))
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2231b90>, <kernel.DependentProduct object at 0x2231c68>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Int__Oint_M_Eo_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring uminus_uminus_int_o:((int->Prop)->(int->Prop))
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2231290>, <kernel.DependentProduct object at 0x2231b90>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring uminus5770388063884162150_nat_o:((list_nat->Prop)->(list_nat->Prop))
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2231ab8>, <kernel.DependentProduct object at 0x2231c68>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Nat__Onat_M_Eo_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring uminus_uminus_nat_o:((nat->Prop)->(nat->Prop))
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2231b90>, <kernel.DependentProduct object at 0x2231290>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Real__Oreal_M_Eo_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring uminus_uminus_real_o:((real->Prop)->(real->Prop))
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2231ab8>, <kernel.DependentProduct object at 0x2231b90>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring uminus6401447641752708672_nat_o:((set_nat->Prop)->(set_nat->Prop))
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2231290>, <kernel.DependentProduct object at 0x2233050>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2231b90>, <kernel.DependentProduct object at 0x22330e0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2231e18>, <kernel.DependentProduct object at 0x2233170>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring uminus_uminus_int:(int->int)
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2231c68>, <kernel.DependentProduct object at 0x22331b8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring uminus_uminus_rat:(rat->rat)
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2231b90>, <kernel.DependentProduct object at 0x2233200>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring uminus_uminus_real:(real->real)
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2231c68>, <kernel.DependentProduct object at 0x2233248>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_I_Eo_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring uminus_uminus_set_o:(set_o->set_o)
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2233200>, <kernel.DependentProduct object at 0x2233290>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring uminus8566677241136511917omplex:(set_complex->set_complex)
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2233170>, <kernel.DependentProduct object at 0x2233320>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Int__Oint_J
% 0.43/0.63 Using role type
% 0.43/0.63 Declaring uminus1532241313380277803et_int:(set_int->set_int)
% 0.43/0.63 FOF formula (<kernel.Constant object at 0x22331b8>, <kernel.DependentProduct object at 0x22333b0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.43/0.63 Using role type
% 0.43/0.63 Declaring uminus3195874150345416415st_nat:(set_list_nat->set_list_nat)
% 0.43/0.63 FOF formula (<kernel.Constant object at 0x2233170>, <kernel.DependentProduct object at 0x2233440>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.43/0.63 Using role type
% 0.43/0.63 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.43/0.63 FOF formula (<kernel.Constant object at 0x22333b0>, <kernel.DependentProduct object at 0x22334d0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Real__Oreal_J
% 0.43/0.63 Using role type
% 0.43/0.63 Declaring uminus612125837232591019t_real:(set_real->set_real)
% 0.43/0.63 FOF formula (<kernel.Constant object at 0x2233440>, <kernel.DependentProduct object at 0x2233560>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.43/0.63 Using role type
% 0.43/0.63 Declaring uminus613421341184616069et_nat:(set_set_nat->set_set_nat)
% 0.43/0.63 FOF formula (<kernel.Constant object at 0x22334d0>, <kernel.Constant object at 0x2233488>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.43/0.63 Using role type
% 0.43/0.63 Declaring zero_z3403309356797280102nteger:code_integer
% 0.43/0.63 FOF formula (<kernel.Constant object at 0x2233518>, <kernel.Constant object at 0x2233488>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.43/0.63 Using role type
% 0.43/0.63 Declaring zero_zero_complex:complex
% 0.43/0.63 FOF formula (<kernel.Constant object at 0x22334d0>, <kernel.Constant object at 0x2233248>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.43/0.63 Using role type
% 0.43/0.63 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.43/0.63 FOF formula (<kernel.Constant object at 0x22335f0>, <kernel.Constant object at 0x2233248>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.43/0.63 Using role type
% 0.43/0.63 Declaring zero_zero_int:int
% 0.43/0.63 FOF formula (<kernel.Constant object at 0x2233680>, <kernel.Constant object at 0x2233248>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.43/0.63 Using role type
% 0.43/0.63 Declaring zero_zero_nat:nat
% 0.43/0.63 FOF formula (<kernel.Constant object at 0x22336c8>, <kernel.Constant object at 0x2233248>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.43/0.63 Using role type
% 0.43/0.63 Declaring zero_zero_rat:rat
% 0.43/0.63 FOF formula (<kernel.Constant object at 0x2233710>, <kernel.Constant object at 0x2233248>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.43/0.63 Using role type
% 0.43/0.63 Declaring zero_zero_real:real
% 0.43/0.63 FOF formula (<kernel.Constant object at 0x22336c8>, <kernel.DependentProduct object at 0x2233710>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001_Eo_001t__Complex__Ocomplex
% 0.43/0.63 Using role type
% 0.43/0.63 Declaring groups5328290441151304332omplex:((Prop->complex)->(set_o->complex))
% 0.43/0.63 FOF formula (<kernel.Constant object at 0x2233248>, <kernel.DependentProduct object at 0x22336c8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001_Eo_001t__Int__Oint
% 0.43/0.63 Using role type
% 0.43/0.63 Declaring groups8505340233167759370_o_int:((Prop->int)->(set_o->int))
% 0.43/0.63 FOF formula (<kernel.Constant object at 0x2233710>, <kernel.DependentProduct object at 0x2233248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001_Eo_001t__Nat__Onat
% 0.43/0.63 Using role type
% 0.43/0.63 Declaring groups8507830703676809646_o_nat:((Prop->nat)->(set_o->nat))
% 0.43/0.63 FOF formula (<kernel.Constant object at 0x22336c8>, <kernel.DependentProduct object at 0x2233710>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001_Eo_001t__Rat__Orat
% 0.43/0.63 Using role type
% 0.43/0.63 Declaring groups7872700643590313910_o_rat:((Prop->rat)->(set_o->rat))
% 0.43/0.63 FOF formula (<kernel.Constant object at 0x2233248>, <kernel.DependentProduct object at 0x22336c8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001_Eo_001t__Real__Oreal
% 0.43/0.63 Using role type
% 0.43/0.64 Declaring groups8691415230153176458o_real:((Prop->real)->(set_o->real))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2233710>, <kernel.DependentProduct object at 0x2233998>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups6621422865394947399nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x22336c8>, <kernel.DependentProduct object at 0x2233248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2233998>, <kernel.DependentProduct object at 0x2233710>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Extended____Nat__Oenat
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups1752964319039525884d_enat:((complex->extended_enat)->(set_complex->extended_enat))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2233248>, <kernel.DependentProduct object at 0x22336c8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2233710>, <kernel.DependentProduct object at 0x2233998>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x22336c8>, <kernel.DependentProduct object at 0x2233248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups5058264527183730370ex_rat:((complex->rat)->(set_complex->rat))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2233998>, <kernel.DependentProduct object at 0x2233710>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2233248>, <kernel.DependentProduct object at 0x22336c8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups7873554091576472773nteger:((int->code_integer)->(set_int->code_integer))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2233710>, <kernel.DependentProduct object at 0x2233998>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Complex__Ocomplex
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups3049146728041665814omplex:((int->complex)->(set_int->complex))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x22336c8>, <kernel.DependentProduct object at 0x2233248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Extended____Nat__Oenat
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups4225252721152677374d_enat:((int->extended_enat)->(set_int->extended_enat))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2233998>, <kernel.DependentProduct object at 0x22336c8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2233998>, <kernel.DependentProduct object at 0x2239050>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2233998>, <kernel.DependentProduct object at 0x2239170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Rat__Orat
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups3906332499630173760nt_rat:((int->rat)->(set_int->rat))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2233ab8>, <kernel.DependentProduct object at 0x22391b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2239248>, <kernel.DependentProduct object at 0x2239290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups7501900531339628137nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2239320>, <kernel.DependentProduct object at 0x2239200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x22392d8>, <kernel.DependentProduct object at 0x2239248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Extended____Nat__Oenat
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups7108830773950497114d_enat:((nat->extended_enat)->(set_nat->extended_enat))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x22393b0>, <kernel.DependentProduct object at 0x2239440>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x22392d8>, <kernel.DependentProduct object at 0x2239320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2239440>, <kernel.DependentProduct object at 0x22393b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Rat__Orat
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups2906978787729119204at_rat:((nat->rat)->(set_nat->rat))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2239320>, <kernel.DependentProduct object at 0x22392d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x22393b0>, <kernel.DependentProduct object at 0x2239440>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups7713935264441627589nteger:((real->code_integer)->(set_real->code_integer))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x22392d8>, <kernel.DependentProduct object at 0x2239320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups5754745047067104278omplex:((real->complex)->(set_real->complex))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2239440>, <kernel.DependentProduct object at 0x22393b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Extended____Nat__Oenat
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups2800946370649118462d_enat:((real->extended_enat)->(set_real->extended_enat))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2239320>, <kernel.DependentProduct object at 0x22392d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Int__Oint
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups1932886352136224148al_int:((real->int)->(set_real->int))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x22393b0>, <kernel.DependentProduct object at 0x2239440>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x22392d8>, <kernel.DependentProduct object at 0x2239320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Rat__Orat
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring groups1300246762558778688al_rat:((real->rat)->(set_real->rat))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x2239440>, <kernel.DependentProduct object at 0x22393b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x2239320>, <kernel.DependentProduct object at 0x22392d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring groups8294997508430121362at_nat:((set_nat->nat)->(set_set_nat->nat))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x22393b0>, <kernel.DependentProduct object at 0x2239440>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x22392d8>, <kernel.DependentProduct object at 0x2239320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x2239440>, <kernel.DependentProduct object at 0x22393b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x2239320>, <kernel.DependentProduct object at 0x2239440>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Int__Oint
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring groups9116527308978886569_o_int:((Prop->int)->(int->(list_o->int)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x22393b0>, <kernel.DependentProduct object at 0x2239ea8>) of role type named sy_c_Groups__List_Omonoid__add__class_Osum__list_001t__Nat__Onat
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring groups4561878855575611511st_nat:(list_nat->nat)
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x2239368>, <kernel.DependentProduct object at 0x2239ef0>) of role type named sy_c_HOL_OThe_001t__Int__Oint
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring the_int:((int->Prop)->int)
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x2239dd0>, <kernel.DependentProduct object at 0x2239f38>) of role type named sy_c_HOL_OThe_001t__Real__Oreal
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring the_real:((real->Prop)->real)
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x2239320>, <kernel.DependentProduct object at 0x2239f80>) of role type named sy_c_If_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_int_int:(Prop->((int->int)->((int->int)->(int->int))))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x2239ea8>, <kernel.DependentProduct object at 0x2239f80>) of role type named sy_c_If_001t__Code____Numeral__Ointeger
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_Code_integer:(Prop->(code_integer->(code_integer->code_integer)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x2239cf8>, <kernel.DependentProduct object at 0x2239f38>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x2239ea8>, <kernel.DependentProduct object at 0x2239cf8>) of role type named sy_c_If_001t__Extended____Nat__Oenat
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_Extended_enat:(Prop->(extended_enat->(extended_enat->extended_enat)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x2239320>, <kernel.DependentProduct object at 0x2239cf8>) of role type named sy_c_If_001t__Int__Oint
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_int:(Prop->(int->(int->int)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x2239f80>, <kernel.DependentProduct object at 0x223d050>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x2239ea8>, <kernel.DependentProduct object at 0x223d098>) of role type named sy_c_If_001t__List__Olist_It__Nat__Onat_J
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_list_nat:(Prop->(list_nat->(list_nat->list_nat)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x2239320>, <kernel.DependentProduct object at 0x223d1b8>) of role type named sy_c_If_001t__Nat__Onat
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x2239f80>, <kernel.DependentProduct object at 0x223d098>) of role type named sy_c_If_001t__Num__Onum
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_num:(Prop->(num->(num->num)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x2239320>, <kernel.DependentProduct object at 0x223d098>) of role type named sy_c_If_001t__Option__Ooption_It__Nat__Onat_J
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_option_nat:(Prop->(option_nat->(option_nat->option_nat)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x2239f80>, <kernel.DependentProduct object at 0x223d098>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x223d2d8>, <kernel.DependentProduct object at 0x223d128>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_Pro5737122678794959658eger_o:(Prop->(produc6271795597528267376eger_o->(produc6271795597528267376eger_o->produc6271795597528267376eger_o)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x223d290>, <kernel.DependentProduct object at 0x223d320>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x223d050>, <kernel.DependentProduct object at 0x223d2d8>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x223d320>, <kernel.DependentProduct object at 0x223d248>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x223d440>, <kernel.DependentProduct object at 0x223d248>) of role type named sy_c_If_001t__Rat__Orat
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x223d4d0>, <kernel.DependentProduct object at 0x223d248>) of role type named sy_c_If_001t__Real__Oreal
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_real:(Prop->(real->(real->real)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x223d5a8>, <kernel.DependentProduct object at 0x223d248>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x223d5f0>, <kernel.DependentProduct object at 0x223d248>) of role type named sy_c_If_001t__Set__Oset_It__Nat__Onat_J
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_set_nat:(Prop->(set_nat->(set_nat->set_nat)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x223d638>, <kernel.DependentProduct object at 0x223d248>) of role type named sy_c_If_001t__VEBT____Definitions__OVEBT
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring if_VEBT_VEBT:(Prop->(vEBT_VEBT->(vEBT_VEBT->vEBT_VEBT)))
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x223d680>, <kernel.DependentProduct object at 0x223d6c8>) of role type named sy_c_Int_OAbs__Integ
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring abs_Integ:(product_prod_nat_nat->int)
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x223d098>, <kernel.DependentProduct object at 0x223d320>) of role type named sy_c_Int_ORep__Integ
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring rep_Integ:(int->product_prod_nat_nat)
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x223d4d0>, <kernel.DependentProduct object at 0x223d440>) of role type named sy_c_Int_Onat
% 0.43/0.65 Using role type
% 0.43/0.65 Declaring nat2:(int->nat)
% 0.43/0.65 FOF formula (<kernel.Constant object at 0x223d248>, <kernel.DependentProduct object at 0x223d098>) of role type named sy_c_Int_Opower__int_001t__Real__Oreal
% 0.43/0.66 Using role type
% 0.43/0.66 Declaring power_int_real:(real->(int->real))
% 0.43/0.66 FOF formula (<kernel.Constant object at 0x223d710>, <kernel.Constant object at 0x223d098>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Complex__Ocomplex
% 0.43/0.66 Using role type
% 0.43/0.66 Declaring ring_1_Ints_complex:set_complex
% 0.43/0.66 FOF formula (<kernel.Constant object at 0x223d440>, <kernel.Constant object at 0x223d098>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Real__Oreal
% 0.43/0.66 Using role type
% 0.43/0.66 Declaring ring_1_Ints_real:set_real
% 0.43/0.66 FOF formula (<kernel.Constant object at 0x223d710>, <kernel.DependentProduct object at 0x223d7e8>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.43/0.66 Using role type
% 0.43/0.66 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.43/0.66 FOF formula (<kernel.Constant object at 0x223d098>, <kernel.DependentProduct object at 0x223d878>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.43/0.66 Using role type
% 0.43/0.66 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.43/0.66 FOF formula (<kernel.Constant object at 0x223d638>, <kernel.DependentProduct object at 0x223d908>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.43/0.66 Using role type
% 0.43/0.66 Declaring ring_1_of_int_int:(int->int)
% 0.43/0.66 FOF formula (<kernel.Constant object at 0x223d6c8>, <kernel.DependentProduct object at 0x223d950>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Rat__Orat
% 0.43/0.66 Using role type
% 0.43/0.66 Declaring ring_1_of_int_rat:(int->rat)
% 0.43/0.66 FOF formula (<kernel.Constant object at 0x223d830>, <kernel.DependentProduct object at 0x223d998>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.43/0.66 Using role type
% 0.43/0.66 Declaring ring_1_of_int_real:(int->real)
% 0.43/0.66 FOF formula (<kernel.Constant object at 0x223d878>, <kernel.DependentProduct object at 0x223da28>) of role type named sy_c_Lattices_Oinf__class_Oinf_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.43/0.66 Using role type
% 0.43/0.66 Declaring inf_inf_complex_o:((complex->Prop)->((complex->Prop)->(complex->Prop)))
% 0.43/0.66 FOF formula (<kernel.Constant object at 0x223d9e0>, <kernel.DependentProduct object at 0x223dab8>) of role type named sy_c_Lattices_Oinf__class_Oinf_001_062_It__Int__Oint_M_Eo_J
% 0.43/0.66 Using role type
% 0.43/0.66 Declaring inf_inf_int_o:((int->Prop)->((int->Prop)->(int->Prop)))
% 0.43/0.66 FOF formula (<kernel.Constant object at 0x223d998>, <kernel.DependentProduct object at 0x223db00>) of role type named sy_c_Lattices_Oinf__class_Oinf_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.43/0.66 Using role type
% 0.43/0.66 Declaring inf_inf_list_nat_o:((list_nat->Prop)->((list_nat->Prop)->(list_nat->Prop)))
% 0.43/0.66 FOF formula (<kernel.Constant object at 0x223da28>, <kernel.DependentProduct object at 0x223db48>) of role type named sy_c_Lattices_Oinf__class_Oinf_001_062_It__Nat__Onat_M_Eo_J
% 0.43/0.66 Using role type
% 0.43/0.66 Declaring inf_inf_nat_o:((nat->Prop)->((nat->Prop)->(nat->Prop)))
% 0.43/0.66 FOF formula (<kernel.Constant object at 0x223dab8>, <kernel.DependentProduct object at 0x223db90>) of role type named sy_c_Lattices_Oinf__class_Oinf_001_062_It__Real__Oreal_M_Eo_J
% 0.43/0.66 Using role type
% 0.43/0.66 Declaring inf_inf_real_o:((real->Prop)->((real->Prop)->(real->Prop)))
% 0.43/0.66 FOF formula (<kernel.Constant object at 0x223db00>, <kernel.DependentProduct object at 0x223dbd8>) of role type named sy_c_Lattices_Oinf__class_Oinf_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.43/0.66 Using role type
% 0.43/0.66 Declaring inf_inf_set_nat_o:((set_nat->Prop)->((set_nat->Prop)->(set_nat->Prop)))
% 0.43/0.66 FOF formula (<kernel.Constant object at 0x223dab8>, <kernel.DependentProduct object at 0x223db00>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Extended____Nat__Oenat
% 0.43/0.66 Using role type
% 0.43/0.66 Declaring inf_in1870772243966228564d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.43/0.66 FOF formula (<kernel.Constant object at 0x223db90>, <kernel.DependentProduct object at 0x223dbd8>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Int__Oint
% 0.43/0.66 Using role type
% 0.43/0.66 Declaring inf_inf_int:(int->(int->int))
% 0.43/0.66 FOF formula (<kernel.Constant object at 0x223db48>, <kernel.DependentProduct object at 0x223dab8>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Nat__Onat
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring inf_inf_nat:(nat->(nat->nat))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223dc68>, <kernel.DependentProduct object at 0x223db90>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Rat__Orat
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring inf_inf_rat:(rat->(rat->rat))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223d998>, <kernel.DependentProduct object at 0x223db48>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Real__Oreal
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring inf_inf_real:(real->(real->real))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223da28>, <kernel.DependentProduct object at 0x223dc68>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_I_Eo_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring inf_inf_set_o:(set_o->(set_o->set_o))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223db00>, <kernel.DependentProduct object at 0x223d998>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring inf_inf_set_complex:(set_complex->(set_complex->set_complex))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223dbd8>, <kernel.DependentProduct object at 0x223da28>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Int__Oint_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring inf_inf_set_int:(set_int->(set_int->set_int))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223dab8>, <kernel.DependentProduct object at 0x223db00>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring inf_inf_set_list_nat:(set_list_nat->(set_list_nat->set_list_nat))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223db90>, <kernel.DependentProduct object at 0x223dbd8>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Nat__Onat_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring inf_inf_set_nat:(set_nat->(set_nat->set_nat))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223db48>, <kernel.DependentProduct object at 0x223dab8>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Real__Oreal_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring inf_inf_set_real:(set_real->(set_real->set_real))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223dc68>, <kernel.DependentProduct object at 0x223db90>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring inf_inf_set_set_nat:(set_set_nat->(set_set_nat->set_set_nat))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223db48>, <kernel.DependentProduct object at 0x223de60>) of role type named sy_c_Lattices_Osemilattice__neutr__order_001t__Nat__Onat
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring semila1623282765462674594er_nat:((nat->(nat->nat))->(nat->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223db00>, <kernel.DependentProduct object at 0x223de60>) of role type named sy_c_Lattices_Osup__class_Osup_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring sup_sup_complex_o:((complex->Prop)->((complex->Prop)->(complex->Prop)))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223df80>, <kernel.DependentProduct object at 0x223de60>) of role type named sy_c_Lattices_Osup__class_Osup_001_062_It__Int__Oint_M_Eo_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring sup_sup_int_o:((int->Prop)->((int->Prop)->(int->Prop)))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223dfc8>, <kernel.DependentProduct object at 0x223de60>) of role type named sy_c_Lattices_Osup__class_Osup_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring sup_sup_list_nat_o:((list_nat->Prop)->((list_nat->Prop)->(list_nat->Prop)))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223d998>, <kernel.DependentProduct object at 0x223de60>) of role type named sy_c_Lattices_Osup__class_Osup_001_062_It__Nat__Onat_M_Eo_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring sup_sup_nat_o:((nat->Prop)->((nat->Prop)->(nat->Prop)))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223dab8>, <kernel.DependentProduct object at 0x22401b8>) of role type named sy_c_Lattices_Osup__class_Osup_001_062_It__Real__Oreal_M_Eo_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring sup_sup_real_o:((real->Prop)->((real->Prop)->(real->Prop)))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223db00>, <kernel.DependentProduct object at 0x2240200>) of role type named sy_c_Lattices_Osup__class_Osup_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring sup_sup_set_nat_o:((set_nat->Prop)->((set_nat->Prop)->(set_nat->Prop)))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223db00>, <kernel.DependentProduct object at 0x22401b8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Extended____Nat__Oenat
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring sup_su3973961784419623482d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223dab8>, <kernel.DependentProduct object at 0x2240248>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Int__Oint
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring sup_sup_int:(int->(int->int))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223db00>, <kernel.DependentProduct object at 0x2240098>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring sup_sup_nat:(nat->(nat->nat))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223dab8>, <kernel.DependentProduct object at 0x2240290>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Rat__Orat
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring sup_sup_rat:(rat->(rat->rat))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x223dab8>, <kernel.DependentProduct object at 0x22402d8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Real__Oreal
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring sup_sup_real:(real->(real->real))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x2240050>, <kernel.DependentProduct object at 0x22401b8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_I_Eo_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring sup_sup_set_o:(set_o->(set_o->set_o))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x2240170>, <kernel.DependentProduct object at 0x2240128>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring sup_sup_set_complex:(set_complex->(set_complex->set_complex))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x2240248>, <kernel.DependentProduct object at 0x2240050>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Int__Oint_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring sup_sup_set_int:(set_int->(set_int->set_int))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x2240098>, <kernel.DependentProduct object at 0x2240170>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring sup_sup_set_list_nat:(set_list_nat->(set_list_nat->set_list_nat))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x2240290>, <kernel.DependentProduct object at 0x2240248>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring sup_sup_set_nat:(set_nat->(set_nat->set_nat))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x22402d8>, <kernel.DependentProduct object at 0x2240098>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Real__Oreal_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring sup_sup_set_real:(set_real->(set_real->set_real))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x22401b8>, <kernel.DependentProduct object at 0x2240290>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring sup_sup_set_set_nat:(set_set_nat->(set_set_nat->set_set_nat))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x22402d8>, <kernel.DependentProduct object at 0x22401b8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring sup_su6272177626956685416T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x2240290>, <kernel.DependentProduct object at 0x2240128>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Int__Oint
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring lattic8263393255366662781ax_int:(set_int->int)
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x22401b8>, <kernel.DependentProduct object at 0x2240680>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.43/0.67 Using role type
% 0.43/0.67 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.43/0.67 FOF formula (<kernel.Constant object at 0x2240488>, <kernel.DependentProduct object at 0x2240170>) of role type named sy_c_Limits_OBfun_001t__Nat__Onat_001t__Real__Oreal
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring bfun_nat_real:((nat->real)->(filter_nat->Prop))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240320>, <kernel.DependentProduct object at 0x2240488>) of role type named sy_c_List_Oappend_001t__Int__Oint
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring append_int:(list_int->(list_int->list_int))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240680>, <kernel.DependentProduct object at 0x2240170>) of role type named sy_c_List_Oappend_001t__Nat__Onat
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring append_nat:(list_nat->(list_nat->list_nat))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x22407a0>, <kernel.DependentProduct object at 0x2240878>) of role type named sy_c_List_Odistinct_001t__Int__Oint
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring distinct_int:(list_int->Prop)
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x22407e8>, <kernel.DependentProduct object at 0x2240710>) of role type named sy_c_List_Odistinct_001t__Nat__Onat
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring distinct_nat:(list_nat->Prop)
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240320>, <kernel.DependentProduct object at 0x22407a0>) of role type named sy_c_List_Odrop_001t__Nat__Onat
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring drop_nat:(nat->(list_nat->list_nat))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x22401b8>, <kernel.DependentProduct object at 0x2240950>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x22408c0>, <kernel.DependentProduct object at 0x2240320>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring cons_int:(int->(list_int->list_int))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240170>, <kernel.DependentProduct object at 0x22401b8>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240998>, <kernel.Constant object at 0x22401b8>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring nil_int:list_int
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240320>, <kernel.Constant object at 0x22401b8>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring nil_nat:list_nat
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240680>, <kernel.DependentProduct object at 0x2240ab8>) of role type named sy_c_List_Olist_Ohd_001t__Nat__Onat
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring hd_nat:(list_nat->nat)
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240a28>, <kernel.DependentProduct object at 0x2240ab8>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__Nat__Onat
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring map_nat_nat:((nat->nat)->(list_nat->list_nat))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240998>, <kernel.DependentProduct object at 0x2240b00>) of role type named sy_c_List_Olist_Oset_001_Eo
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring set_o2:(list_o->set_o)
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240878>, <kernel.DependentProduct object at 0x2240950>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring set_complex2:(list_complex->set_complex)
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240320>, <kernel.DependentProduct object at 0x2240b90>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring set_int2:(list_int->set_int)
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240ab8>, <kernel.DependentProduct object at 0x2240bd8>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring set_nat2:(list_nat->set_nat)
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240b00>, <kernel.DependentProduct object at 0x2240c20>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring set_real2:(list_real->set_real)
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240950>, <kernel.DependentProduct object at 0x2240c68>) of role type named sy_c_List_Olist_Oset_001t__Set__Oset_It__Nat__Onat_J
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring set_set_nat2:(list_set_nat->set_set_nat)
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240b90>, <kernel.DependentProduct object at 0x2240cb0>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240bd8>, <kernel.DependentProduct object at 0x2240c20>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x22407e8>, <kernel.DependentProduct object at 0x2240ab8>) of role type named sy_c_List_Olist_Otl_001t__Nat__Onat
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring tl_nat:(list_nat->list_nat)
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240950>, <kernel.DependentProduct object at 0x2240c20>) of role type named sy_c_List_Olist__update_001_Eo
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring list_update_o:(list_o->(nat->(Prop->list_o)))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240dd0>, <kernel.DependentProduct object at 0x2240b90>) of role type named sy_c_List_Olist__update_001t__Complex__Ocomplex
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring list_update_complex:(list_complex->(nat->(complex->list_complex)))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240d40>, <kernel.DependentProduct object at 0x22407e8>) of role type named sy_c_List_Olist__update_001t__Int__Oint
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring list_update_int:(list_int->(nat->(int->list_int)))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240ef0>, <kernel.DependentProduct object at 0x2240dd0>) of role type named sy_c_List_Olist__update_001t__Nat__Onat
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring list_update_nat:(list_nat->(nat->(nat->list_nat)))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240f38>, <kernel.DependentProduct object at 0x2240d40>) of role type named sy_c_List_Olist__update_001t__Real__Oreal
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring list_update_real:(list_real->(nat->(real->list_real)))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240f80>, <kernel.DependentProduct object at 0x2240ef0>) of role type named sy_c_List_Olist__update_001t__Set__Oset_It__Nat__Onat_J
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring list_update_set_nat:(list_set_nat->(nat->(set_nat->list_set_nat)))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240f38>, <kernel.DependentProduct object at 0x2240f80>) of role type named sy_c_List_Olist__update_001t__VEBT____Definitions__OVEBT
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring list_u1324408373059187874T_VEBT:(list_VEBT_VEBT->(nat->(vEBT_VEBT->list_VEBT_VEBT)))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240ab8>, <kernel.DependentProduct object at 0x2240ef0>) of role type named sy_c_List_Onth_001_Eo
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring nth_o:(list_o->(nat->Prop))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240fc8>, <kernel.DependentProduct object at 0x2240f38>) of role type named sy_c_List_Onth_001t__Code____Numeral__Ointeger
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring nth_Code_integer:(list_Code_integer->(nat->code_integer))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240ef0>, <kernel.DependentProduct object at 0x2240f80>) of role type named sy_c_List_Onth_001t__Complex__Ocomplex
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring nth_complex:(list_complex->(nat->complex))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240cf8>, <kernel.DependentProduct object at 0x2240ea8>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring nth_int:(list_int->(nat->int))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240f38>, <kernel.DependentProduct object at 0x22431b8>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring nth_nat:(list_nat->(nat->nat))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240ef0>, <kernel.DependentProduct object at 0x2243200>) of role type named sy_c_List_Onth_001t__Num__Onum
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring nth_num:(list_num->(nat->num))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240cf8>, <kernel.DependentProduct object at 0x2243128>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.43/0.68 Using role type
% 0.43/0.68 Declaring nth_Product_prod_o_o:(list_P4002435161011370285od_o_o->(nat->product_prod_o_o))
% 0.43/0.68 FOF formula (<kernel.Constant object at 0x2240ef0>, <kernel.DependentProduct object at 0x22431b8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring nth_Pr1649062631805364268_o_int:(list_P3795440434834930179_o_int->(nat->product_prod_o_int))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243098>, <kernel.DependentProduct object at 0x2243200>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring nth_Pr5826913651314560976_o_nat:(list_P6285523579766656935_o_nat->(nat->product_prod_o_nat))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243170>, <kernel.DependentProduct object at 0x22432d8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring nth_Pr6777367263587873994T_VEBT:(list_P7495141550334521929T_VEBT->(nat->produc2504756804600209347T_VEBT))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243050>, <kernel.DependentProduct object at 0x22433b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring nth_Pr8522763379788166057eger_o:(list_P8526636022914148096eger_o->(nat->produc6271795597528267376eger_o))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243368>, <kernel.DependentProduct object at 0x2243050>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring nth_Pr6456567536196504476um_num:(list_P3744719386663036955um_num->(nat->product_prod_num_num))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x22433b0>, <kernel.DependentProduct object at 0x2243368>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243050>, <kernel.DependentProduct object at 0x22433b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring nth_Pr6837108013167703752BT_int:(list_P4547456442757143711BT_int->(nat->produc4894624898956917775BT_int))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243368>, <kernel.DependentProduct object at 0x2243050>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring nth_Pr1791586995822124652BT_nat:(list_P7037539587688870467BT_nat->(nat->produc9072475918466114483BT_nat))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x22433b0>, <kernel.DependentProduct object at 0x2243368>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243200>, <kernel.DependentProduct object at 0x22433b0>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring nth_real:(list_real->(nat->real))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243758>, <kernel.DependentProduct object at 0x2243050>) of role type named sy_c_List_Onth_001t__Set__Oset_It__Nat__Onat_J
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring nth_set_nat:(list_set_nat->(nat->set_nat))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x22437e8>, <kernel.DependentProduct object at 0x2243368>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x22436c8>, <kernel.DependentProduct object at 0x22437e8>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243878>, <kernel.DependentProduct object at 0x2243758>) of role type named sy_c_List_Oproduct_001_Eo_001t__Int__Oint
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring product_o_int:(list_o->(list_int->list_P3795440434834930179_o_int))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x22438c0>, <kernel.DependentProduct object at 0x2243368>) of role type named sy_c_List_Oproduct_001_Eo_001t__Nat__Onat
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring product_o_nat:(list_o->(list_nat->list_P6285523579766656935_o_nat))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243050>, <kernel.DependentProduct object at 0x2243878>) of role type named sy_c_List_Oproduct_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring product_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x22438c0>, <kernel.DependentProduct object at 0x2243050>) of role type named sy_c_List_Oproduct_001t__Code____Numeral__Ointeger_001_Eo
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring produc3607205314601156340eger_o:(list_Code_integer->(list_o->list_P8526636022914148096eger_o))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243908>, <kernel.DependentProduct object at 0x2243878>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001_Eo
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring product_nat_o:(list_nat->(list_o->list_P7333126701944960589_nat_o))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x22438c0>, <kernel.DependentProduct object at 0x2243908>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring produc7156399406898700509T_VEBT:(list_nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243950>, <kernel.DependentProduct object at 0x2243878>) of role type named sy_c_List_Oproduct_001t__Num__Onum_001t__Num__Onum
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring product_num_num:(list_num->(list_num->list_P3744719386663036955um_num))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243ab8>, <kernel.DependentProduct object at 0x22438c0>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243950>, <kernel.DependentProduct object at 0x2243ab8>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring produc7292646706713671643BT_int:(list_VEBT_VEBT->(list_int->list_P4547456442757143711BT_int))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x22438c0>, <kernel.DependentProduct object at 0x2243950>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring produc7295137177222721919BT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243ab8>, <kernel.DependentProduct object at 0x22438c0>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x22437a0>, <kernel.DependentProduct object at 0x2243cf8>) of role type named sy_c_List_Oremdups_001t__Nat__Onat
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring remdups_nat:(list_nat->list_nat)
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243b00>, <kernel.DependentProduct object at 0x2243ab8>) of role type named sy_c_List_Oreplicate_001_Eo
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring replicate_o:(nat->(Prop->list_o))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243b48>, <kernel.DependentProduct object at 0x22438c0>) of role type named sy_c_List_Oreplicate_001t__Complex__Ocomplex
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring replicate_complex:(nat->(complex->list_complex))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243950>, <kernel.DependentProduct object at 0x2243b00>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring replicate_int:(nat->(int->list_int))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243d88>, <kernel.DependentProduct object at 0x2243b48>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.43/0.69 Using role type
% 0.43/0.69 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.43/0.69 FOF formula (<kernel.Constant object at 0x2243bd8>, <kernel.DependentProduct object at 0x2243950>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring replicate_real:(nat->(real->list_real))
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x22437a0>, <kernel.DependentProduct object at 0x2243d88>) of role type named sy_c_List_Oreplicate_001t__Set__Oset_It__Nat__Onat_J
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring replicate_set_nat:(nat->(set_nat->list_set_nat))
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2243ab8>, <kernel.DependentProduct object at 0x2243bd8>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x22438c0>, <kernel.DependentProduct object at 0x2243cf8>) of role type named sy_c_List_Osorted__wrt_001t__Int__Oint
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring sorted_wrt_int:((int->(int->Prop))->(list_int->Prop))
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2243bd8>, <kernel.DependentProduct object at 0x2243f38>) of role type named sy_c_List_Osorted__wrt_001t__Nat__Onat
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring sorted_wrt_nat:((nat->(nat->Prop))->(list_nat->Prop))
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2243c68>, <kernel.DependentProduct object at 0x2243bd8>) of role type named sy_c_List_Otake_001t__Nat__Onat
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring take_nat:(nat->(list_nat->list_nat))
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2243cf8>, <kernel.DependentProduct object at 0x2243f38>) of role type named sy_c_List_Ounion_001t__Int__Oint
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring union_int:(list_int->(list_int->list_int))
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2243fc8>, <kernel.DependentProduct object at 0x22437a0>) of role type named sy_c_List_Ounion_001t__Nat__Onat
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring union_nat:(list_nat->(list_nat->list_nat))
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2243f38>, <kernel.DependentProduct object at 0x22437a0>) of role type named sy_c_List_Ounion_001t__VEBT____Definitions__OVEBT
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring union_VEBT_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_VEBT_VEBT))
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2243fc8>, <kernel.DependentProduct object at 0x2243b48>) of role type named sy_c_List_Oupt
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring upt:(nat->(nat->list_nat))
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x22437a0>, <kernel.DependentProduct object at 0x22438c0>) of role type named sy_c_List_Oupto
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring upto:(int->(int->list_int))
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2243f38>, <kernel.DependentProduct object at 0x26631b8>) of role type named sy_c_List_Oupto__aux
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x22437a0>, <kernel.DependentProduct object at 0x2663050>) of role type named sy_c_List_Oupto__rel
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring upto_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x22438c0>, <kernel.DependentProduct object at 0x2663170>) of role type named sy_c_Nat_OSuc
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring suc:(nat->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x22437a0>, <kernel.DependentProduct object at 0x26632d8>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x22437a0>, <kernel.DependentProduct object at 0x2663368>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x22437a0>, <kernel.DependentProduct object at 0x2663320>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663248>, <kernel.DependentProduct object at 0x26633b0>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Option__Ooption_It__Num__Onum_J
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring case_nat_option_num:(option_num->((nat->option_num)->(nat->option_num)))
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x26633f8>, <kernel.DependentProduct object at 0x26631b8>) of role type named sy_c_Nat_Onat_Opred
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring pred:(nat->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663248>, <kernel.Constant object at 0x2663320>) of role type named sy_c_Nat_Osemiring__1__class_ONats_001t__Complex__Ocomplex
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring semiri3842193898606819883omplex:set_complex
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x26631b8>, <kernel.DependentProduct object at 0x2663290>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663320>, <kernel.DependentProduct object at 0x26634d0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663290>, <kernel.DependentProduct object at 0x2663560>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Extended____Nat__Oenat
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring semiri4216267220026989637d_enat:(nat->extended_enat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x26634d0>, <kernel.DependentProduct object at 0x26635f0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663560>, <kernel.DependentProduct object at 0x2663680>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x26635f0>, <kernel.DependentProduct object at 0x2663710>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663680>, <kernel.DependentProduct object at 0x26637a0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x26633b0>, <kernel.DependentProduct object at 0x2663830>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_size_list_o:(list_o->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663680>, <kernel.DependentProduct object at 0x2663878>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_s3445333598471063425nteger:(list_Code_integer->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663830>, <kernel.DependentProduct object at 0x2663908>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x26636c8>, <kernel.DependentProduct object at 0x2663998>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_size_list_int:(list_int->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663710>, <kernel.DependentProduct object at 0x26639e0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_size_list_nat:(list_nat->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x26638c0>, <kernel.DependentProduct object at 0x2663a28>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Num__Onum_J
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_size_list_num:(list_num->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663710>, <kernel.DependentProduct object at 0x2663a70>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_s1515746228057227161od_o_o:(list_P4002435161011370285od_o_o->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663a28>, <kernel.DependentProduct object at 0x2663b00>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_s2953683556165314199_o_int:(list_P3795440434834930179_o_int->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663a70>, <kernel.DependentProduct object at 0x2663b90>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_s5443766701097040955_o_nat:(list_P6285523579766656935_o_nat->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663b00>, <kernel.DependentProduct object at 0x2663c20>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_s4313452262239582901T_VEBT:(list_P7495141550334521929T_VEBT->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663b90>, <kernel.DependentProduct object at 0x2663cb0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_s6491369823275344609_nat_o:(list_P7333126701944960589_nat_o->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663c20>, <kernel.DependentProduct object at 0x2663d40>) 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
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_s4762443039079500285T_VEBT:(list_P5647936690300460905T_VEBT->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663cb0>, <kernel.DependentProduct object at 0x2663dd0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_s9168528473962070013VEBT_o:(list_P3126845725202233233VEBT_o->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663d40>, <kernel.DependentProduct object at 0x2663e60>) 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
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_s3661962791536183091BT_int:(list_P4547456442757143711BT_int->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663dd0>, <kernel.DependentProduct object at 0x2663ef0>) 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
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_s6152045936467909847BT_nat:(list_P7037539587688870467BT_nat->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663e60>, <kernel.DependentProduct object at 0x2663f80>) 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
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_s7466405169056248089T_VEBT:(list_P7413028617227757229T_VEBT->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663ea8>, <kernel.DependentProduct object at 0x2650050>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_size_list_real:(list_real->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663e60>, <kernel.DependentProduct object at 0x2650098>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_s3254054031482475050et_nat:(list_set_nat->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663f38>, <kernel.DependentProduct object at 0x2650128>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663d40>, <kernel.DependentProduct object at 0x26501b8>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_size_num:(num->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663fc8>, <kernel.DependentProduct object at 0x2650200>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Nat__Onat_J
% 0.43/0.70 Using role type
% 0.43/0.70 Declaring size_size_option_nat:(option_nat->nat)
% 0.43/0.70 FOF formula (<kernel.Constant object at 0x2663d40>, <kernel.DependentProduct object at 0x2650248>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring size_size_option_num:(option_num->nat)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650200>, <kernel.DependentProduct object at 0x2650290>) 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
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2663f38>, <kernel.DependentProduct object at 0x2650320>) of role type named sy_c_Nat_Osize__class_Osize_001t__String__Ochar
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring size_size_char:(char->nat)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650290>, <kernel.DependentProduct object at 0x2650368>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x26501b8>, <kernel.DependentProduct object at 0x2650248>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650290>, <kernel.DependentProduct object at 0x26501b8>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650170>, <kernel.DependentProduct object at 0x26504d0>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring nat_set_decode:(nat->set_nat)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650128>, <kernel.DependentProduct object at 0x2650518>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring nat_set_encode:(set_nat->nat)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x26503b0>, <kernel.DependentProduct object at 0x2650560>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring nat_triangle:(nat->nat)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650368>, <kernel.DependentProduct object at 0x2650248>) of role type named sy_c_NthRoot_Oroot
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring root:(nat->(real->real))
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650170>, <kernel.DependentProduct object at 0x26505a8>) of role type named sy_c_NthRoot_Osqrt
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring sqrt:(real->real)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x26504d0>, <kernel.DependentProduct object at 0x2650560>) of role type named sy_c_Num_OBitM
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring bitM:(num->num)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x26503b0>, <kernel.DependentProduct object at 0x2650638>) of role type named sy_c_Num_Oinc
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring inc:(num->num)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x26504d0>, <kernel.DependentProduct object at 0x2650680>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650638>, <kernel.DependentProduct object at 0x2650710>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650248>, <kernel.DependentProduct object at 0x26507a0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring neg_numeral_dbl_int:(int->int)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650170>, <kernel.DependentProduct object at 0x26507e8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x26506c8>, <kernel.DependentProduct object at 0x2650830>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring neg_numeral_dbl_real:(real->real)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650170>, <kernel.DependentProduct object at 0x2650878>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650830>, <kernel.DependentProduct object at 0x2650908>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650878>, <kernel.DependentProduct object at 0x2650998>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650908>, <kernel.DependentProduct object at 0x2650a28>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650998>, <kernel.DependentProduct object at 0x2650ab8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650a28>, <kernel.DependentProduct object at 0x2650b48>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Code____Numeral__Ointeger
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring neg_nu5831290666863070958nteger:(code_integer->code_integer)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650ab8>, <kernel.DependentProduct object at 0x2650bd8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Complex__Ocomplex
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring neg_nu8557863876264182079omplex:(complex->complex)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650b48>, <kernel.DependentProduct object at 0x2650c68>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Int__Oint
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring neg_nu5851722552734809277nc_int:(int->int)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650bd8>, <kernel.DependentProduct object at 0x2650cf8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Rat__Orat
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring neg_nu5219082963157363817nc_rat:(rat->rat)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650c68>, <kernel.DependentProduct object at 0x2650d88>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Real__Oreal
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring neg_nu8295874005876285629c_real:(real->real)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650710>, <kernel.DependentProduct object at 0x2650cf8>) of role type named sy_c_Num_Oneg__numeral__class_Osub_001t__Int__Oint
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring neg_numeral_sub_int:(num->(num->int))
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650e18>, <kernel.DependentProduct object at 0x2650e60>) of role type named sy_c_Num_Onum_OBit0
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring bit0:(num->num)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650d40>, <kernel.DependentProduct object at 0x2650cb0>) of role type named sy_c_Num_Onum_OBit1
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring bit1:(num->num)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650d88>, <kernel.Constant object at 0x2650cb0>) of role type named sy_c_Num_Onum_OOne
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring one:num
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650e60>, <kernel.DependentProduct object at 0x2650fc8>) of role type named sy_c_Num_Onum_Ocase__num_001t__Option__Ooption_It__Num__Onum_J
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring case_num_option_num:(option_num->((num->option_num)->((num->option_num)->(num->option_num))))
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650f80>, <kernel.DependentProduct object at 0x2650d40>) of role type named sy_c_Num_Onum_Osize__num
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring size_num:(num->nat)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650c68>, <kernel.DependentProduct object at 0x2650cf8>) of role type named sy_c_Num_Onum__of__nat
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring num_of_nat:(nat->num)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650f80>, <kernel.DependentProduct object at 0x264f050>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.43/0.71 Using role type
% 0.43/0.71 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.43/0.71 FOF formula (<kernel.Constant object at 0x2650cf8>, <kernel.DependentProduct object at 0x264f128>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.43/0.72 Using role type
% 0.43/0.72 Declaring numera6690914467698888265omplex:(num->complex)
% 0.43/0.72 FOF formula (<kernel.Constant object at 0x2650d40>, <kernel.DependentProduct object at 0x264f170>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.43/0.72 Using role type
% 0.43/0.72 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.43/0.72 FOF formula (<kernel.Constant object at 0x2650cf8>, <kernel.DependentProduct object at 0x264f200>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.43/0.72 Using role type
% 0.43/0.72 Declaring numeral_numeral_int:(num->int)
% 0.43/0.72 FOF formula (<kernel.Constant object at 0x2650c68>, <kernel.DependentProduct object at 0x264f248>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.43/0.72 Using role type
% 0.43/0.72 Declaring numeral_numeral_nat:(num->nat)
% 0.43/0.72 FOF formula (<kernel.Constant object at 0x2650cf8>, <kernel.DependentProduct object at 0x264f290>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.43/0.72 Using role type
% 0.43/0.72 Declaring numeral_numeral_rat:(num->rat)
% 0.43/0.72 FOF formula (<kernel.Constant object at 0x2650d40>, <kernel.DependentProduct object at 0x264f2d8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.43/0.72 Using role type
% 0.43/0.72 Declaring numeral_numeral_real:(num->real)
% 0.43/0.72 FOF formula (<kernel.Constant object at 0x2650d40>, <kernel.DependentProduct object at 0x264f170>) of role type named sy_c_Num_Opow
% 0.43/0.72 Using role type
% 0.43/0.72 Declaring pow:(num->(num->num))
% 0.43/0.72 FOF formula (<kernel.Constant object at 0x264f320>, <kernel.DependentProduct object at 0x264f368>) of role type named sy_c_Num_Opred__numeral
% 0.43/0.72 Using role type
% 0.43/0.72 Declaring pred_numeral:(num->nat)
% 0.43/0.72 FOF formula (<kernel.Constant object at 0x264f290>, <kernel.DependentProduct object at 0x264f0e0>) of role type named sy_c_Num_Osqr
% 0.43/0.72 Using role type
% 0.43/0.72 Declaring sqr:(num->num)
% 0.43/0.72 FOF formula (<kernel.Constant object at 0x264f2d8>, <kernel.Constant object at 0x264f0e0>) of role type named sy_c_Option_Ooption_ONone_001t__Nat__Onat
% 0.43/0.72 Using role type
% 0.43/0.72 Declaring none_nat:option_nat
% 0.43/0.72 FOF formula (<kernel.Constant object at 0x264f368>, <kernel.Constant object at 0x264f0e0>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.43/0.72 Using role type
% 0.43/0.72 Declaring none_num:option_num
% 0.43/0.72 FOF formula (<kernel.Constant object at 0x264f2d8>, <kernel.Constant object at 0x264f050>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.43/0.72 Using role type
% 0.43/0.72 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.43/0.72 FOF formula (<kernel.Constant object at 0x264f3f8>, <kernel.DependentProduct object at 0x264f518>) of role type named sy_c_Option_Ooption_OSome_001t__Nat__Onat
% 0.43/0.72 Using role type
% 0.43/0.72 Declaring some_nat:(nat->option_nat)
% 0.43/0.72 FOF formula (<kernel.Constant object at 0x264f200>, <kernel.DependentProduct object at 0x264f560>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.43/0.72 Using role type
% 0.43/0.72 Declaring some_num:(num->option_num)
% 0.43/0.72 FOF formula (<kernel.Constant object at 0x264f3f8>, <kernel.DependentProduct object at 0x264f200>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.43/0.72 Using role type
% 0.43/0.72 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.43/0.72 FOF formula (<kernel.Constant object at 0x264f560>, <kernel.DependentProduct object at 0x264f638>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.43/0.72 Using role type
% 0.43/0.72 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.43/0.72 FOF formula (<kernel.Constant object at 0x264f680>, <kernel.DependentProduct object at 0x264f758>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Int__Oint_001t__Num__Onum
% 0.43/0.72 Using role type
% 0.43/0.72 Declaring case_option_int_num:(int->((num->int)->(option_num->int)))
% 0.43/0.72 FOF formula (<kernel.Constant object at 0x264f710>, <kernel.DependentProduct object at 0x264f7a0>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x264f680>, <kernel.DependentProduct object at 0x264f3f8>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x264f830>, <kernel.DependentProduct object at 0x264f5a8>) of role type named sy_c_Option_Ooption_Omap__option_001t__Num__Onum_001t__Num__Onum
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring map_option_num_num:((num->num)->(option_num->option_num))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x264f7a0>, <kernel.DependentProduct object at 0x264f7e8>) of role type named sy_c_Option_Ooption_Osize__option_001t__Nat__Onat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring size_option_nat:((nat->nat)->(option_nat->nat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x264f680>, <kernel.DependentProduct object at 0x264f878>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x264f7a0>, <kernel.DependentProduct object at 0x264f200>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x264f830>, <kernel.DependentProduct object at 0x264f7e8>) of role type named sy_c_Option_Ooption_Othe_001t__Nat__Onat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring the_nat:(option_nat->nat)
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x264f0e0>, <kernel.DependentProduct object at 0x264f998>) of role type named sy_c_Option_Ooption_Othe_001t__Num__Onum
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring the_num:(option_num->num)
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x264f830>, <kernel.DependentProduct object at 0x264f9e0>) of role type named sy_c_Option_Ooption_Othe_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring the_Pr8591224930841456533at_nat:(option4927543243414619207at_nat->product_prod_nat_nat)
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x264f7e8>, <kernel.DependentProduct object at 0x264f0e0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_I_Eo_M_Eo_J
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring bot_bot_o_o:(Prop->Prop)
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x264f9e0>, <kernel.DependentProduct object at 0x264fa70>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Int__Oint_M_Eo_J
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring bot_bot_int_o:(int->Prop)
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x264f830>, <kernel.DependentProduct object at 0x264fab8>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring bot_bot_list_nat_o:(list_nat->Prop)
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x264f7e8>, <kernel.DependentProduct object at 0x264fb00>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_Eo_J
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring bot_bot_nat_o:(nat->Prop)
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x264f9e0>, <kernel.DependentProduct object at 0x264fb48>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Real__Oreal_M_Eo_J
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring bot_bot_real_o:(real->Prop)
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x264f830>, <kernel.DependentProduct object at 0x264fb90>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring bot_bot_set_nat_o:(set_nat->Prop)
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x264f9e0>, <kernel.Constant object at 0x264fb00>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Extended____Nat__Oenat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring bot_bo4199563552545308370d_enat:extended_enat
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x264fb48>, <kernel.Constant object at 0x264fb00>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring bot_bot_filter_nat:filter_nat
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x264fbd8>, <kernel.Constant object at 0x264fb00>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring bot_bot_nat:nat
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x264fc20>, <kernel.Constant object at 0x264fb00>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_I_Eo_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring bot_bot_set_o:set_o
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x264fc68>, <kernel.Constant object at 0x264fb00>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring bot_bot_set_complex:set_complex
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x264fc20>, <kernel.Constant object at 0x264f7e8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring bot_bo7653980558646680370d_enat:set_Extended_enat
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x264fcf8>, <kernel.Constant object at 0x264f7e8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring bot_bot_set_int:set_int
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x264fd88>, <kernel.Constant object at 0x264f7e8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring bot_bot_set_list_nat:set_list_nat
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x264fdd0>, <kernel.Constant object at 0x264f7e8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring bot_bot_set_nat:set_nat
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x264fe18>, <kernel.Constant object at 0x264f7e8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Num__Onum_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring bot_bot_set_num:set_num
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x264fe60>, <kernel.Constant object at 0x264f7e8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Rat__Orat_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring bot_bot_set_rat:set_rat
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x264fea8>, <kernel.Constant object at 0x264f7e8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring bot_bot_set_real:set_real
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x264fef0>, <kernel.Constant object at 0x264f7e8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring bot_bot_set_set_nat:set_set_nat
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x264fea8>, <kernel.Constant object at 0x264fcb0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring bot_bo8194388402131092736T_VEBT:set_VEBT_VEBT
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x264ff80>, <kernel.DependentProduct object at 0x2653170>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_less_complex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x264ff38>, <kernel.DependentProduct object at 0x26531b8>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Int__Oint_M_Eo_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_less_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x264fea8>, <kernel.DependentProduct object at 0x2653200>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Nat__Onat_M_Eo_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_less_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x264ff80>, <kernel.DependentProduct object at 0x2653248>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Real__Oreal_M_Eo_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_less_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x264fea8>, <kernel.DependentProduct object at 0x2653290>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_less_set_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x264ff80>, <kernel.DependentProduct object at 0x2653098>) of role type named sy_c_Orderings_Oord__class_Oless_001_Eo
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_less_o:(Prop->(Prop->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2653200>, <kernel.DependentProduct object at 0x2653128>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2653248>, <kernel.DependentProduct object at 0x2653200>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2653320>, <kernel.DependentProduct object at 0x2653128>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_less_int:(int->(int->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x26533b0>, <kernel.DependentProduct object at 0x2653248>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2653050>, <kernel.DependentProduct object at 0x2653320>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_less_num:(num->(num->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x26531b8>, <kernel.DependentProduct object at 0x26533b0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2653200>, <kernel.DependentProduct object at 0x2653050>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_less_real:(real->(real->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2653128>, <kernel.DependentProduct object at 0x26531b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_I_Eo_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_less_set_o:(set_o->(set_o->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2653248>, <kernel.DependentProduct object at 0x2653200>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2653128>, <kernel.DependentProduct object at 0x2653248>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_le2529575680413868914d_enat:(set_Extended_enat->(set_Extended_enat->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x26533b0>, <kernel.DependentProduct object at 0x2653200>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2653638>, <kernel.DependentProduct object at 0x2653128>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x26531b8>, <kernel.DependentProduct object at 0x26533b0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2653320>, <kernel.DependentProduct object at 0x2653638>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2653248>, <kernel.DependentProduct object at 0x26531b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653200>, <kernel.DependentProduct object at 0x2653320>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_less_set_set_nat:(set_set_nat->(set_set_nat->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653248>, <kernel.DependentProduct object at 0x2653878>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_le4573692005234683329plex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653638>, <kernel.DependentProduct object at 0x2653908>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_Eo_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_less_eq_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653878>, <kernel.DependentProduct object at 0x2653950>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_Eo_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_less_eq_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653908>, <kernel.DependentProduct object at 0x2653998>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Real__Oreal_M_Eo_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_less_eq_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653878>, <kernel.DependentProduct object at 0x26539e0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_le3964352015994296041_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x26538c0>, <kernel.DependentProduct object at 0x2653638>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_Eo
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_less_eq_o:(Prop->(Prop->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653878>, <kernel.DependentProduct object at 0x26538c0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653638>, <kernel.DependentProduct object at 0x2653878>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653ab8>, <kernel.DependentProduct object at 0x26538c0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653b48>, <kernel.DependentProduct object at 0x2653638>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653998>, <kernel.DependentProduct object at 0x2653ab8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653908>, <kernel.DependentProduct object at 0x2653b48>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653878>, <kernel.DependentProduct object at 0x2653998>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x26538c0>, <kernel.DependentProduct object at 0x2653908>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_Eo_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_less_eq_set_o:(set_o->(set_o->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653878>, <kernel.DependentProduct object at 0x26538c0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653ab8>, <kernel.DependentProduct object at 0x2653908>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653878>, <kernel.DependentProduct object at 0x2653ab8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_le6045566169113846134st_nat:(set_list_nat->(set_list_nat->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653998>, <kernel.DependentProduct object at 0x2653908>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653e60>, <kernel.DependentProduct object at 0x2653878>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653998>, <kernel.DependentProduct object at 0x2653e60>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_le6893508408891458716et_nat:(set_set_nat->(set_set_nat->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653878>, <kernel.DependentProduct object at 0x2653998>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653f80>, <kernel.DependentProduct object at 0x26538c0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Code____Numeral__Ointeger
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_max_Code_integer:(code_integer->(code_integer->code_integer))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653878>, <kernel.DependentProduct object at 0x2653998>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Extended____Nat__Oenat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_ma741700101516333627d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653d88>, <kernel.DependentProduct object at 0x2656128>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_max_int:(int->(int->int))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653878>, <kernel.DependentProduct object at 0x2656200>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_max_nat:(nat->(nat->nat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653998>, <kernel.DependentProduct object at 0x2656248>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Num__Onum
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_max_num:(num->(num->num))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653878>, <kernel.DependentProduct object at 0x2656098>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Rat__Orat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_max_rat:(rat->(rat->rat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653998>, <kernel.DependentProduct object at 0x2656128>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Real__Oreal
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_max_real:(real->(real->real))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2653998>, <kernel.DependentProduct object at 0x2656290>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_I_Eo_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_max_set_o:(set_o->(set_o->set_o))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x26560e0>, <kernel.DependentProduct object at 0x2656200>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Int__Oint_J
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring ord_max_set_int:(set_int->(set_int->set_int))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x26561b8>, <kernel.DependentProduct object at 0x2656050>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Nat__Onat_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring ord_max_set_nat:(set_nat->(set_nat->set_nat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656248>, <kernel.DependentProduct object at 0x26560e0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Real__Oreal_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring ord_max_set_real:(set_real->(set_real->set_real))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x26561b8>, <kernel.DependentProduct object at 0x2656248>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Extended____Nat__Oenat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring ord_mi8085742599997312461d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656128>, <kernel.DependentProduct object at 0x26560e0>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Nat__Onat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring ord_min_nat:(nat->(nat->nat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656098>, <kernel.DependentProduct object at 0x2656518>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656170>, <kernel.DependentProduct object at 0x26561b8>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Real__Oreal
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring order_mono_nat_real:((nat->real)->Prop)
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656098>, <kernel.DependentProduct object at 0x2656128>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Nat__Onat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring order_5726023648592871131at_nat:((nat->nat)->Prop)
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x26561b8>, <kernel.DependentProduct object at 0x26565a8>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Real__Oreal_001t__Real__Oreal
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring order_7092887310737990675l_real:((real->real)->Prop)
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656248>, <kernel.Constant object at 0x26565a8>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_Eo_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring top_top_set_o:set_o
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656050>, <kernel.Constant object at 0x26565a8>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring top_top_set_nat:set_nat
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656098>, <kernel.Constant object at 0x26565a8>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring top_top_set_real:set_real
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656638>, <kernel.Constant object at 0x26565a8>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring top_top_set_char:set_char
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656098>, <kernel.DependentProduct object at 0x2656638>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x26567a0>, <kernel.DependentProduct object at 0x26565a8>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring power_power_complex:(complex->(nat->complex))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656098>, <kernel.DependentProduct object at 0x26567a0>) of role type named sy_c_Power_Opower__class_Opower_001t__Extended____Nat__Oenat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring power_8040749407984259932d_enat:(extended_enat->(nat->extended_enat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656878>, <kernel.DependentProduct object at 0x26565a8>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring power_power_int:(int->(nat->int))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656680>, <kernel.DependentProduct object at 0x2656098>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring power_power_nat:(nat->(nat->nat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656950>, <kernel.DependentProduct object at 0x2656878>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring power_power_rat:(rat->(nat->rat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656638>, <kernel.DependentProduct object at 0x2656680>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring power_power_real:(real->(nat->real))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656950>, <kernel.DependentProduct object at 0x2656098>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring produc4035269172776083154on_nat:((nat->(nat->Prop))->(produc4953844613479565601on_nat->produc2233624965454879586on_nat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656680>, <kernel.DependentProduct object at 0x2656878>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring produc8929957630744042906on_nat:((nat->(nat->nat))->(produc4953844613479565601on_nat->produc8306885398267862888on_nat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656098>, <kernel.DependentProduct object at 0x26565a8>) of role type named sy_c_Product__Type_OPair_001_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring produc3576312749637752826on_num:((num->(num->Prop))->(produc3447558737645232053on_num->produc7036089656553540234on_num))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656878>, <kernel.DependentProduct object at 0x2656b48>) of role type named sy_c_Product__Type_OPair_001_062_It__Num__Onum_M_062_It__Num__Onum_Mt__Num__Onum_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring produc5778274026573060048on_num:((num->(num->num))->(produc3447558737645232053on_num->produc1193250871479095198on_num))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x26565a8>, <kernel.DependentProduct object at 0x2656b90>) of role type named sy_c_Product__Type_OPair_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring produc3994169339658061776at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(produc6121120109295599847at_nat->produc5491161045314408544at_nat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656b48>, <kernel.DependentProduct object at 0x2656c68>) of role type named sy_c_Product__Type_OPair_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring produc2899441246263362727at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(produc6121120109295599847at_nat->produc5542196010084753463at_nat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656d40>, <kernel.DependentProduct object at 0x2656950>) of role type named sy_c_Product__Type_OPair_001_Eo_001_Eo
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring product_Pair_o_o:(Prop->(Prop->product_prod_o_o))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656cb0>, <kernel.DependentProduct object at 0x2656950>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Int__Oint
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring product_Pair_o_int:(Prop->(int->product_prod_o_int))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656c68>, <kernel.DependentProduct object at 0x2656950>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Nat__Onat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring product_Pair_o_nat:(Prop->(nat->product_prod_o_nat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656cb0>, <kernel.DependentProduct object at 0x2656c20>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring produc2982872950893828659T_VEBT:(Prop->(vEBT_VEBT->produc2504756804600209347T_VEBT))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656950>, <kernel.DependentProduct object at 0x2656f38>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656c20>, <kernel.DependentProduct object at 0x2656950>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656fc8>, <kernel.DependentProduct object at 0x2656f38>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656950>, <kernel.DependentProduct object at 0x2656cb0>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656f38>, <kernel.DependentProduct object at 0x2656ef0>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Num__Onum
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring product_Pair_nat_num:(nat->(num->product_prod_nat_num))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656cb0>, <kernel.DependentProduct object at 0x2656d40>) of role type named sy_c_Product__Type_OPair_001t__Num__Onum_001t__Num__Onum
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring product_Pair_num_num:(num->(num->product_prod_num_num))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656cb0>, <kernel.DependentProduct object at 0x26591b8>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Nat__Onat_J_001t__Option__Ooption_It__Nat__Onat_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring produc5098337634421038937on_nat:(option_nat->(option_nat->produc4953844613479565601on_nat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656cb0>, <kernel.DependentProduct object at 0x2659200>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Num__Onum_J_001t__Option__Ooption_It__Num__Onum_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring produc8585076106096196333on_num:(option_num->(option_num->produc3447558737645232053on_num))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2656950>, <kernel.DependentProduct object at 0x2659200>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring produc488173922507101015at_nat:(option4927543243414619207at_nat->(option4927543243414619207at_nat->produc6121120109295599847at_nat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2659098>, <kernel.DependentProduct object at 0x2659368>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2659128>, <kernel.DependentProduct object at 0x2659170>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring produc736041933913180425BT_int:(vEBT_VEBT->(int->produc4894624898956917775BT_int))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2659290>, <kernel.DependentProduct object at 0x2659440>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x26593f8>, <kernel.DependentProduct object at 0x2659290>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2659440>, <kernel.DependentProduct object at 0x2659248>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2659290>, <kernel.DependentProduct object at 0x2659128>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2659248>, <kernel.DependentProduct object at 0x26595f0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2659128>, <kernel.DependentProduct object at 0x2659488>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring produc7336495610019696514er_num:((code_integer->(code_integer->num))->(produc8923325533196201883nteger->num))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x26595f0>, <kernel.DependentProduct object at 0x26595a8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2659488>, <kernel.DependentProduct object at 0x2659518>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x26595a8>, <kernel.DependentProduct object at 0x2659560>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Complex__Ocomplex_001t__Complex__Ocomplex_001_Eo
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring produc6771430404735790350plex_o:((complex->(complex->Prop))->(produc4411394909380815293omplex->Prop))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2659518>, <kernel.DependentProduct object at 0x2659878>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2659560>, <kernel.DependentProduct object at 0x26599e0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring produc8211389475949308722nt_int:((int->(int->int))->(product_prod_int_int->int))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2659878>, <kernel.DependentProduct object at 0x2659998>) 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
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x26599e0>, <kernel.DependentProduct object at 0x2659b48>) 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
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring produc8739625826339149834_nat_o:((nat->(nat->(product_prod_nat_nat->Prop)))->(product_prod_nat_nat->(product_prod_nat_nat->Prop)))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2659998>, <kernel.DependentProduct object at 0x2659bd8>) 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
% 0.52/0.76 Using role type
% 0.52/0.76 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)))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2659b48>, <kernel.DependentProduct object at 0x26597e8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2659bd8>, <kernel.DependentProduct object at 0x2659638>) 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
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x26597e8>, <kernel.DependentProduct object at 0x2659c68>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Option__Ooption_It__Num__Onum_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring produc478579273971653890on_num:((nat->(num->option_num))->(product_prod_nat_num->option_num))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2659638>, <kernel.DependentProduct object at 0x2659cb0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Real__Oreal_001t__Real__Oreal_001_Eo
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring produc5414030515140494994real_o:((real->(real->Prop))->(produc2422161461964618553l_real->Prop))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2659dd0>, <kernel.DependentProduct object at 0x2659e60>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2659a70>, <kernel.DependentProduct object at 0x2659ea8>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2659dd0>, <kernel.DependentProduct object at 0x2659ef0>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring produc6174133586879617921nteger:(produc8923325533196201883nteger->code_integer)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2659e60>, <kernel.DependentProduct object at 0x2659f80>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2659c68>, <kernel.DependentProduct object at 0x2659fc8>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2659e60>, <kernel.Constant object at 0x2659ef0>) of role type named sy_c_Rat_Ofield__char__0__class_ORats_001t__Real__Oreal
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring field_5140801741446780682s_real:set_real
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2659f80>, <kernel.DependentProduct object at 0x266b0e0>) of role type named sy_c_Rat_Onormalize
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x2659638>, <kernel.DependentProduct object at 0x266b128>) of role type named sy_c_Rat_Oquotient__of
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring quotient_of:(rat->product_prod_int_int)
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x2659f80>, <kernel.Constant object at 0x2659fc8>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Complex__Ocomplex
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring real_V2521375963428798218omplex:set_complex
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x2659fc8>, <kernel.DependentProduct object at 0x266b050>) of role type named sy_c_Real__Vector__Spaces_Obounded__linear_001t__Real__Oreal_001t__Real__Oreal
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring real_V5970128139526366754l_real:((real->real)->Prop)
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x2659638>, <kernel.DependentProduct object at 0x266b248>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Complex__Ocomplex
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring real_V3694042436643373181omplex:(complex->(complex->real))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b050>, <kernel.DependentProduct object at 0x266b2d8>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Real__Oreal
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring real_V975177566351809787t_real:(real->(real->real))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b200>, <kernel.DependentProduct object at 0x266b290>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b098>, <kernel.DependentProduct object at 0x266b440>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b050>, <kernel.DependentProduct object at 0x266b200>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Complex__Ocomplex
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring real_V2046097035970521341omplex:(real->(complex->complex))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b098>, <kernel.DependentProduct object at 0x266b050>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Real__Oreal
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring real_V1485227260804924795R_real:(real->(real->real))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b200>, <kernel.DependentProduct object at 0x266b098>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b050>, <kernel.DependentProduct object at 0x266b200>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b2d8>, <kernel.DependentProduct object at 0x266b098>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring divide_divide_int:(int->(int->int))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b4d0>, <kernel.DependentProduct object at 0x266b050>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b758>, <kernel.DependentProduct object at 0x266b2d8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b5f0>, <kernel.DependentProduct object at 0x266b4d0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring divide_divide_real:(real->(real->real))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b680>, <kernel.DependentProduct object at 0x266b758>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b710>, <kernel.DependentProduct object at 0x266b5f0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b680>, <kernel.DependentProduct object at 0x266b710>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Extended____Nat__Oenat
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring dvd_dv3785147216227455552d_enat:(extended_enat->(extended_enat->Prop))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b2d8>, <kernel.DependentProduct object at 0x266b5f0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b908>, <kernel.DependentProduct object at 0x266b680>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b758>, <kernel.DependentProduct object at 0x266b2d8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b050>, <kernel.DependentProduct object at 0x266b908>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b758>, <kernel.DependentProduct object at 0x266b050>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b950>, <kernel.DependentProduct object at 0x266b908>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring modulo_modulo_int:(int->(int->int))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b710>, <kernel.DependentProduct object at 0x266b758>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b950>, <kernel.DependentProduct object at 0x266bbd8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b758>, <kernel.DependentProduct object at 0x266b5f0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266bbd8>, <kernel.DependentProduct object at 0x266bc68>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Extended____Nat__Oenat
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring zero_n1046097342994218471d_enat:(Prop->extended_enat)
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266b5f0>, <kernel.DependentProduct object at 0x266bcf8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266bc68>, <kernel.DependentProduct object at 0x266bd88>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266bcf8>, <kernel.DependentProduct object at 0x266be18>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266bd88>, <kernel.DependentProduct object at 0x266bea8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.52/0.77 Using role type
% 0.52/0.77 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.52/0.77 FOF formula (<kernel.Constant object at 0x266bcf8>, <kernel.DependentProduct object at 0x266be18>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring suminf_real:((nat->real)->real)
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266bef0>, <kernel.DependentProduct object at 0x266bc68>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring summable_real:((nat->real)->Prop)
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266b320>, <kernel.DependentProduct object at 0x266bfc8>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring sums_real:((nat->real)->(real->Prop))
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266bf80>, <kernel.DependentProduct object at 0x266d0e0>) of role type named sy_c_Set_OCollect_001_Eo
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring collect_o:((Prop->Prop)->set_o)
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266bcf8>, <kernel.DependentProduct object at 0x266d050>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266b5f0>, <kernel.DependentProduct object at 0x266d170>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring collect_int:((int->Prop)->set_int)
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266bcf8>, <kernel.DependentProduct object at 0x266d0e0>) of role type named sy_c_Set_OCollect_001t__List__Olist_I_Eo_J
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring collect_list_o:((list_o->Prop)->set_list_o)
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266b320>, <kernel.DependentProduct object at 0x266d1b8>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Complex__Ocomplex_J
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring collect_list_complex:((list_complex->Prop)->set_list_complex)
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266b5f0>, <kernel.DependentProduct object at 0x266d200>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Int__Oint_J
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring collect_list_int:((list_int->Prop)->set_list_int)
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266b320>, <kernel.DependentProduct object at 0x266d248>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d200>, <kernel.DependentProduct object at 0x266d290>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring collec5608196760682091941T_VEBT:((list_VEBT_VEBT->Prop)->set_list_VEBT_VEBT)
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d1b8>, <kernel.DependentProduct object at 0x266d368>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d170>, <kernel.DependentProduct object at 0x266d200>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring collec8663557070575231912omplex:((produc4411394909380815293omplex->Prop)->set_Pr5085853215250843933omplex)
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d1b8>, <kernel.DependentProduct object at 0x266d170>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring collec3392354462482085612at_nat:((product_prod_nat_nat->Prop)->set_Pr1261947904930325089at_nat)
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d200>, <kernel.DependentProduct object at 0x266d1b8>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring collec3799799289383736868l_real:((produc2422161461964618553l_real->Prop)->set_Pr6218003697084177305l_real)
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d050>, <kernel.DependentProduct object at 0x266d560>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring collect_real:((real->Prop)->set_real)
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d488>, <kernel.DependentProduct object at 0x266d200>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring collect_set_nat:((set_nat->Prop)->set_set_nat)
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d0e0>, <kernel.DependentProduct object at 0x266d5f0>) of role type named sy_c_Set_OPow_001t__Nat__Onat
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring pow_nat:(set_nat->set_set_nat)
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d4d0>, <kernel.DependentProduct object at 0x266d5f0>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d1b8>, <kernel.DependentProduct object at 0x266d518>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Int__Oint
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring image_nat_int:((nat->int)->(set_nat->set_int))
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d200>, <kernel.DependentProduct object at 0x266d488>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d4d0>, <kernel.DependentProduct object at 0x266d638>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Real__Oreal
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring image_nat_real:((nat->real)->(set_nat->set_real))
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d1b8>, <kernel.DependentProduct object at 0x266d128>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring image_nat_set_nat:((nat->set_nat)->(set_nat->set_set_nat))
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d200>, <kernel.DependentProduct object at 0x266d0e0>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d1b8>, <kernel.DependentProduct object at 0x266d4d0>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring image_5971271580939081552omplex:((real->filter6041513312241820739omplex)->(set_real->set_fi4554929511873752355omplex))
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d0e0>, <kernel.DependentProduct object at 0x266d638>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring image_2178119161166701260l_real:((real->filter2146258269922977983l_real)->(set_real->set_fi7789364187291644575l_real))
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d878>, <kernel.DependentProduct object at 0x266d5f0>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d4d0>, <kernel.DependentProduct object at 0x266d518>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d0e0>, <kernel.DependentProduct object at 0x266d518>) of role type named sy_c_Set_Oinsert_001_Eo
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring insert_o:(Prop->(set_o->set_o))
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d998>, <kernel.DependentProduct object at 0x266d4d0>) of role type named sy_c_Set_Oinsert_001t__Complex__Ocomplex
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring insert_complex:(complex->(set_complex->set_complex))
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d878>, <kernel.DependentProduct object at 0x266d0e0>) of role type named sy_c_Set_Oinsert_001t__Extended____Nat__Oenat
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring insert_Extended_enat:(extended_enat->(set_Extended_enat->set_Extended_enat))
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d560>, <kernel.DependentProduct object at 0x266d878>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring insert_int:(int->(set_int->set_int))
% 0.52/0.78 FOF formula (<kernel.Constant object at 0x266d908>, <kernel.DependentProduct object at 0x266d998>) of role type named sy_c_Set_Oinsert_001t__List__Olist_It__Nat__Onat_J
% 0.52/0.78 Using role type
% 0.52/0.78 Declaring insert_list_nat:(list_nat->(set_list_nat->set_list_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x266d9e0>, <kernel.DependentProduct object at 0x266d908>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x266db00>, <kernel.DependentProduct object at 0x266d998>) of role type named sy_c_Set_Oinsert_001t__Num__Onum
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring insert_num:(num->(set_num->set_num))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x266d878>, <kernel.DependentProduct object at 0x266d9e0>) of role type named sy_c_Set_Oinsert_001t__Rat__Orat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring insert_rat:(rat->(set_rat->set_rat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x266db48>, <kernel.DependentProduct object at 0x266db00>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring insert_real:(real->(set_real->set_real))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x266d518>, <kernel.DependentProduct object at 0x266d0e0>) of role type named sy_c_Set_Oinsert_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring insert_set_nat:(set_nat->(set_set_nat->set_set_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x266dc68>, <kernel.DependentProduct object at 0x266d878>) of role type named sy_c_Set_Oinsert_001t__VEBT____Definitions__OVEBT
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring insert_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x266d518>, <kernel.DependentProduct object at 0x266db00>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x266d878>, <kernel.DependentProduct object at 0x266dd88>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001_Eo
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_or8904488021354931149Most_o:(Prop->(Prop->set_o))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x266db00>, <kernel.DependentProduct object at 0x266d878>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Extended____Nat__Oenat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_or5403411693681687835d_enat:(extended_enat->(extended_enat->set_Extended_enat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x266dd88>, <kernel.DependentProduct object at 0x266db00>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x266d878>, <kernel.DependentProduct object at 0x266dd88>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x266db00>, <kernel.DependentProduct object at 0x266d878>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x266dd88>, <kernel.DependentProduct object at 0x266db00>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x266d878>, <kernel.DependentProduct object at 0x266de18>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x266db00>, <kernel.DependentProduct object at 0x266df38>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_or4548717258645045905et_nat:(set_nat->(set_nat->set_set_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x266db00>, <kernel.DependentProduct object at 0x2670098>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x266db00>, <kernel.DependentProduct object at 0x2670200>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x266dfc8>, <kernel.DependentProduct object at 0x2670128>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x266db00>, <kernel.DependentProduct object at 0x2670320>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2670128>, <kernel.DependentProduct object at 0x26702d8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2670050>, <kernel.DependentProduct object at 0x26703b0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2670368>, <kernel.DependentProduct object at 0x2670050>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x26703b0>, <kernel.DependentProduct object at 0x2670368>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2670050>, <kernel.DependentProduct object at 0x26703b0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2670368>, <kernel.DependentProduct object at 0x2670200>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x26703b0>, <kernel.DependentProduct object at 0x26706c8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2670128>, <kernel.DependentProduct object at 0x2670758>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x26703b0>, <kernel.DependentProduct object at 0x26707a0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x26705f0>, <kernel.DependentProduct object at 0x2670830>) of role type named sy_c_String_Oascii__of
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ascii_of:(char->char)
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x26706c8>, <kernel.DependentProduct object at 0x2670878>) of role type named sy_c_String_Ochar_OChar
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring char2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->char))))))))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2670248>, <kernel.DependentProduct object at 0x2670998>) of role type named sy_c_String_Ochar_Osize__char
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring size_char:(char->nat)
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x26705f0>, <kernel.DependentProduct object at 0x26706c8>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x26707e8>, <kernel.DependentProduct object at 0x2670a28>) of role type named sy_c_String_Ointeger__of__char
% 0.59/0.79 Using role type
% 0.59/0.80 Declaring integer_of_char:(char->code_integer)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2670248>, <kernel.DependentProduct object at 0x26705f0>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26707e8>, <kernel.DependentProduct object at 0x2670b00>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26705f0>, <kernel.DependentProduct object at 0x2670b90>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Real__Oreal_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring topolo5044208981011980120l_real:(set_real->((real->real)->Prop))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2670b00>, <kernel.DependentProduct object at 0x26707e8>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2670b90>, <kernel.DependentProduct object at 0x2670b00>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26707e8>, <kernel.DependentProduct object at 0x2670950>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2670b00>, <kernel.DependentProduct object at 0x2670cf8>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2670950>, <kernel.Constant object at 0x2670c20>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Complex__Ocomplex
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring topolo896644834953643431omplex:filter6041513312241820739omplex
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2670cf8>, <kernel.Constant object at 0x26707e8>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring topolo1511823702728130853y_real:filter2146258269922977983l_real
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2670dd0>, <kernel.DependentProduct object at 0x2670ef0>) of role type named sy_c_Transcendental_Oarccos
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring arccos:(real->real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2670d88>, <kernel.DependentProduct object at 0x2670f38>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring arcosh_real:(real->real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2670e18>, <kernel.DependentProduct object at 0x2670f80>) of role type named sy_c_Transcendental_Oarcsin
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring arcsin:(real->real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26707e8>, <kernel.DependentProduct object at 0x2670fc8>) of role type named sy_c_Transcendental_Oarctan
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring arctan:(real->real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2670ef0>, <kernel.DependentProduct object at 0x2672050>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring arsinh_real:(real->real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2670f38>, <kernel.DependentProduct object at 0x2672098>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring artanh_real:(real->real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2670fc8>, <kernel.DependentProduct object at 0x26720e0>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring cos_real:(real->real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2670758>, <kernel.DependentProduct object at 0x2672170>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring cos_coeff:(nat->real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2670fc8>, <kernel.DependentProduct object at 0x2672128>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring cosh_real:(real->real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26707e8>, <kernel.DependentProduct object at 0x26721b8>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring cot_real:(real->real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2670758>, <kernel.DependentProduct object at 0x2672200>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring exp_complex:(complex->complex)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26707e8>, <kernel.DependentProduct object at 0x2672248>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring exp_real:(real->real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2670fc8>, <kernel.DependentProduct object at 0x2672290>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring ln_ln_real:(real->real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2670fc8>, <kernel.DependentProduct object at 0x2672128>) of role type named sy_c_Transcendental_Olog
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring log:(real->(real->real))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26722d8>, <kernel.Constant object at 0x2672128>) of role type named sy_c_Transcendental_Opi
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring pi:real
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2672290>, <kernel.DependentProduct object at 0x26721b8>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring powr_real:(real->(real->real))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2672170>, <kernel.DependentProduct object at 0x26723b0>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring sin_real:(real->real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2672098>, <kernel.DependentProduct object at 0x2672440>) of role type named sy_c_Transcendental_Osin__coeff
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring sin_coeff:(nat->real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26721b8>, <kernel.DependentProduct object at 0x2672170>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring sinh_real:(real->real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2672440>, <kernel.DependentProduct object at 0x2672488>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring tan_real:(real->real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26723f8>, <kernel.DependentProduct object at 0x26724d0>) of role type named sy_c_Transcendental_Otanh_001t__Complex__Ocomplex
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring tanh_complex:(complex->complex)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2672098>, <kernel.DependentProduct object at 0x2672518>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring tanh_real:(real->real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26723f8>, <kernel.DependentProduct object at 0x2672098>) of role type named sy_c_Transitive__Closure_Otrancl_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring transi6264000038957366511cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26720e0>, <kernel.DependentProduct object at 0x26725f0>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26724d0>, <kernel.DependentProduct object at 0x2672098>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26726c8>, <kernel.DependentProduct object at 0x26723f8>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26720e0>, <kernel.DependentProduct object at 0x26726c8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2672758>, <kernel.DependentProduct object at 0x26723f8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26720e0>, <kernel.DependentProduct object at 0x2672758>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26724d0>, <kernel.DependentProduct object at 0x26723f8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2672878>, <kernel.DependentProduct object at 0x26720e0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26724d0>, <kernel.DependentProduct object at 0x2672758>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26720e0>, <kernel.DependentProduct object at 0x26724d0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2672758>, <kernel.DependentProduct object at 0x26723f8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2672950>, <kernel.DependentProduct object at 0x26724d0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2672a28>, <kernel.DependentProduct object at 0x26724d0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26725a8>, <kernel.DependentProduct object at 0x2672a28>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2672ab8>, <kernel.DependentProduct object at 0x2672b48>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26723f8>, <kernel.DependentProduct object at 0x26724d0>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x26725a8>, <kernel.DependentProduct object at 0x26723f8>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2672b00>, <kernel.DependentProduct object at 0x26725a8>) of role type named sy_c_VEBT__Delete_Ovebt__delete
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_vebt_delete:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2672cb0>, <kernel.DependentProduct object at 0x2672b00>) of role type named sy_c_VEBT__Delete_Ovebt__delete__rel
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_vebt_delete_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2672bd8>, <kernel.DependentProduct object at 0x26723f8>) of role type named sy_c_VEBT__InsertCorrectness_OVEBT__internal_Oinsert_H
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring vEBT_VEBT_insert:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x26724d0>, <kernel.DependentProduct object at 0x26723f8>) of role type named sy_c_VEBT__InsertCorrectness_OVEBT__internal_Oinsert_H__rel
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring vEBT_VEBT_insert_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x2672b90>, <kernel.DependentProduct object at 0x26724d0>) of role type named sy_c_VEBT__Insert_Ovebt__insert
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring vEBT_vebt_insert:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x2672dd0>, <kernel.DependentProduct object at 0x2672b90>) of role type named sy_c_VEBT__Insert_Ovebt__insert__rel
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring vEBT_vebt_insert_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x2672ab8>, <kernel.DependentProduct object at 0x26723f8>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x2672b48>, <kernel.DependentProduct object at 0x2672c20>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x2672ab8>, <kernel.DependentProduct object at 0x2672b48>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull__rel
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring vEBT_V6963167321098673237ll_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x2672ea8>, <kernel.DependentProduct object at 0x2672b00>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x2672d88>, <kernel.DependentProduct object at 0x2672ea8>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x2672c20>, <kernel.DependentProduct object at 0x2672d88>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x2672b48>, <kernel.DependentProduct object at 0x2672b00>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oadd
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring vEBT_VEBT_add:(option_nat->(option_nat->option_nat))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x2672d88>, <kernel.DependentProduct object at 0x2677050>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ogreater
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring vEBT_VEBT_greater:(option_nat->(option_nat->Prop))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x2672dd0>, <kernel.DependentProduct object at 0x26770e0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oless
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring vEBT_VEBT_less:(option_nat->(option_nat->Prop))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x2672f38>, <kernel.DependentProduct object at 0x2677128>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Olesseq
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring vEBT_VEBT_lesseq:(option_nat->(option_nat->Prop))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x2672b00>, <kernel.DependentProduct object at 0x2677170>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omax__in__set
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring vEBT_VEBT_max_in_set:(set_nat->(nat->Prop))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x2672dd0>, <kernel.DependentProduct object at 0x26771b8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omin__in__set
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring vEBT_VEBT_min_in_set:(set_nat->(nat->Prop))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x2672f38>, <kernel.DependentProduct object at 0x2677200>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omul
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring vEBT_VEBT_mul:(option_nat->(option_nat->option_nat))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x2677050>, <kernel.DependentProduct object at 0x2677248>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Nat__Onat
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring vEBT_V4262088993061758097ft_nat:((nat->(nat->nat))->(option_nat->(option_nat->option_nat)))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677200>, <kernel.DependentProduct object at 0x2677368>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Num__Onum
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring vEBT_V819420779217536731ft_num:((num->(num->num))->(option_num->(option_num->option_num)))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677248>, <kernel.DependentProduct object at 0x2677128>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring vEBT_V1502963449132264192at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(option4927543243414619207at_nat->(option4927543243414619207at_nat->option4927543243414619207at_nat)))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677200>, <kernel.DependentProduct object at 0x2677290>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Opower
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring vEBT_VEBT_power:(option_nat->(option_nat->option_nat))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x26772d8>, <kernel.DependentProduct object at 0x2677050>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring vEBT_vebt_maxt:(vEBT_VEBT->option_nat)
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x26773f8>, <kernel.DependentProduct object at 0x2677290>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt__rel
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring vEBT_vebt_maxt_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677128>, <kernel.DependentProduct object at 0x26774d0>) of role type named sy_c_VEBT__MinMax_Ovebt__mint
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring vEBT_vebt_mint:(vEBT_VEBT->option_nat)
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677488>, <kernel.DependentProduct object at 0x26773f8>) of role type named sy_c_VEBT__MinMax_Ovebt__mint__rel
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring vEBT_vebt_mint_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677368>, <kernel.DependentProduct object at 0x2677128>) of role type named sy_c_VEBT__Pred_Ois__pred__in__set
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring vEBT_is_pred_in_set:(set_nat->(nat->(nat->Prop)))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x26775f0>, <kernel.DependentProduct object at 0x2677248>) of role type named sy_c_VEBT__Pred_Ovebt__pred
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring vEBT_vebt_pred:(vEBT_VEBT->(nat->option_nat))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677518>, <kernel.DependentProduct object at 0x26774d0>) of role type named sy_c_VEBT__Pred_Ovebt__pred__rel
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring vEBT_vebt_pred_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677290>, <kernel.DependentProduct object at 0x2677248>) of role type named sy_c_VEBT__Succ_Ois__succ__in__set
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring vEBT_is_succ_in_set:(set_nat->(nat->(nat->Prop)))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x26776c8>, <kernel.DependentProduct object at 0x2677488>) of role type named sy_c_VEBT__Succ_Ovebt__succ
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring vEBT_vebt_succ:(vEBT_VEBT->(nat->option_nat))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677050>, <kernel.DependentProduct object at 0x2677128>) of role type named sy_c_VEBT__Succ_Ovebt__succ__rel
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring vEBT_vebt_succ_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x26773f8>, <kernel.DependentProduct object at 0x2677248>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677488>, <kernel.DependentProduct object at 0x26774d0>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677248>, <kernel.DependentProduct object at 0x26776c8>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x26774d0>, <kernel.DependentProduct object at 0x2677518>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677488>, <kernel.DependentProduct object at 0x2677248>) of role type named sy_c_Wellfounded_Oaccp_001t__VEBT____Definitions__OVEBT
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring accp_VEBT_VEBT:((vEBT_VEBT->(vEBT_VEBT->Prop))->(vEBT_VEBT->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677518>, <kernel.Constant object at 0x26778c0>) of role type named sy_c_Wellfounded_Opred__nat
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring pred_nat:set_Pr1261947904930325089at_nat
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677680>, <kernel.DependentProduct object at 0x26779e0>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring fChoice_real:((real->Prop)->real)
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677248>, <kernel.DependentProduct object at 0x2677680>) of role type named sy_c_member_001_Eo
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring member_o:(Prop->(set_o->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677830>, <kernel.DependentProduct object at 0x2677248>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring member_complex:(complex->(set_complex->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677950>, <kernel.DependentProduct object at 0x26778c0>) of role type named sy_c_member_001t__Extended____Nat__Oenat
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring member_Extended_enat:(extended_enat->(set_Extended_enat->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x26779e0>, <kernel.DependentProduct object at 0x2677680>) of role type named sy_c_member_001t__Int__Oint
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring member_int:(int->(set_int->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677248>, <kernel.DependentProduct object at 0x2677950>) of role type named sy_c_member_001t__List__Olist_I_Eo_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring member_list_o:(list_o->(set_list_o->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677518>, <kernel.DependentProduct object at 0x26779e0>) of role type named sy_c_member_001t__List__Olist_It__Int__Oint_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring member_list_int:(list_int->(set_list_int->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677830>, <kernel.DependentProduct object at 0x2677248>) of role type named sy_c_member_001t__List__Olist_It__Nat__Onat_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring member_list_nat:(list_nat->(set_list_nat->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677518>, <kernel.DependentProduct object at 0x2677830>) of role type named sy_c_member_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring member2936631157270082147T_VEBT:(list_VEBT_VEBT->(set_list_VEBT_VEBT->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677680>, <kernel.DependentProduct object at 0x2677248>) of role type named sy_c_member_001t__Nat__Onat
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring member_nat:(nat->(set_nat->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677c20>, <kernel.DependentProduct object at 0x2677518>) of role type named sy_c_member_001t__Num__Onum
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring member_num:(num->(set_num->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677680>, <kernel.DependentProduct object at 0x26778c0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring member8440522571783428010at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x2677cf8>, <kernel.DependentProduct object at 0x2677518>) of role type named sy_c_member_001t__Rat__Orat
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring member_rat:(rat->(set_rat->Prop))
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x2677908>, <kernel.DependentProduct object at 0x2677cf8>) of role type named sy_c_member_001t__Real__Oreal
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring member_real:(real->(set_real->Prop))
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x2677dd0>, <kernel.DependentProduct object at 0x2677680>) of role type named sy_c_member_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring member_set_nat:(set_nat->(set_set_nat->Prop))
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x26779e0>, <kernel.DependentProduct object at 0x2677518>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x2677cf8>, <kernel.Constant object at 0x2677518>) of role type named sy_v_deg____
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring deg:nat
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x2677680>, <kernel.Constant object at 0x2677518>) of role type named sy_v_i____
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring i:nat
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x2677248>, <kernel.Constant object at 0x2677518>) of role type named sy_v_m____
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring m:nat
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x2677ea8>, <kernel.Constant object at 0x2677518>) of role type named sy_v_na____
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring na:nat
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x2677e60>, <kernel.Constant object at 0x2677518>) of role type named sy_v_sa____
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring sa:vEBT_VEBT
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x2677ef0>, <kernel.Constant object at 0x2677518>) of role type named sy_v_summary_H____
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring summary:vEBT_VEBT
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x2677f38>, <kernel.Constant object at 0x2677518>) of role type named sy_v_summary____
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring summary2:vEBT_VEBT
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x2677f80>, <kernel.Constant object at 0x2677518>) of role type named sy_v_treeList_H____
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring treeList:list_VEBT_VEBT
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x2677fc8>, <kernel.Constant object at 0x2677518>) of role type named sy_v_treeList____
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring treeList2:list_VEBT_VEBT
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x2677f38>, <kernel.Constant object at 0x2677908>) of role type named sy_v_x____
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring x:nat
% 0.59/0.83 FOF formula (((eq nat) (size_s6755466524823107622T_VEBT treeList)) (size_s6755466524823107622T_VEBT treeList2)) of role axiom named fact_0_ac
% 0.59/0.83 A new axiom: (((eq nat) (size_s6755466524823107622T_VEBT treeList)) (size_s6755466524823107622T_VEBT treeList2))
% 0.59/0.83 FOF formula (((eq nat) m) na) of role axiom named fact_1__C2_Ohyps_C_I3_J
% 0.59/0.83 A new axiom: (((eq nat) m) na)
% 0.59/0.83 FOF formula (((eq nat) (size_s6755466524823107622T_VEBT treeList2)) ((power_power_nat (numeral_numeral_nat (bit0 one))) m)) of role axiom named fact_2__C2_Ohyps_C_I2_J
% 0.59/0.83 A new axiom: (((eq nat) (size_s6755466524823107622T_VEBT treeList2)) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))
% 0.59/0.83 FOF formula (forall (N:nat), ((ord_less_nat N) ((power_power_nat (numeral_numeral_nat (bit0 one))) N))) of role axiom named fact_3_less__exp
% 0.59/0.83 A new axiom: (forall (N:nat), ((ord_less_nat N) ((power_power_nat (numeral_numeral_nat (bit0 one))) N)))
% 0.59/0.83 FOF formula (forall (M:num), (not (((eq num) (bit0 M)) one))) of role axiom named fact_4_semiring__norm_I85_J
% 0.59/0.83 A new axiom: (forall (M:num), (not (((eq num) (bit0 M)) one)))
% 0.59/0.83 FOF formula (forall (N:num), (not (((eq num) one) (bit0 N)))) of role axiom named fact_5_semiring__norm_I83_J
% 0.59/0.83 A new axiom: (forall (N:num), (not (((eq num) one) (bit0 N))))
% 0.59/0.83 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) ((ord_less_num M) N))) of role axiom named fact_6_numeral__less__iff
% 0.59/0.83 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) ((ord_less_num M) N)))
% 0.59/0.83 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_le72135733267957522d_enat (numera1916890842035813515d_enat M)) (numera1916890842035813515d_enat N))) ((ord_less_num M) N))) of role axiom named fact_7_numeral__less__iff
% 0.59/0.84 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_le72135733267957522d_enat (numera1916890842035813515d_enat M)) (numera1916890842035813515d_enat N))) ((ord_less_num M) N)))
% 0.59/0.84 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_real (numeral_numeral_real M)) (numeral_numeral_real N))) ((ord_less_num M) N))) of role axiom named fact_8_numeral__less__iff
% 0.59/0.84 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_real (numeral_numeral_real M)) (numeral_numeral_real N))) ((ord_less_num M) N)))
% 0.59/0.84 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) ((ord_less_num M) N))) of role axiom named fact_9_numeral__less__iff
% 0.59/0.84 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) ((ord_less_num M) N)))
% 0.59/0.84 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_int (numeral_numeral_int M)) (numeral_numeral_int N))) ((ord_less_num M) N))) of role axiom named fact_10_numeral__less__iff
% 0.59/0.84 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_int (numeral_numeral_int M)) (numeral_numeral_int N))) ((ord_less_num M) N)))
% 0.59/0.84 FOF formula (forall (Tree:vEBT_VEBT) (X:nat) (N:nat), (((vEBT_vebt_member Tree) X)->(((vEBT_invar_vebt Tree) N)->((ord_less_nat X) ((power_power_nat (numeral_numeral_nat (bit0 one))) N))))) of role axiom named fact_11_member__bound
% 0.59/0.84 A new axiom: (forall (Tree:vEBT_VEBT) (X:nat) (N:nat), (((vEBT_vebt_member Tree) X)->(((vEBT_invar_vebt Tree) N)->((ord_less_nat X) ((power_power_nat (numeral_numeral_nat (bit0 one))) N)))))
% 0.59/0.84 FOF formula (forall (X2:num) (Y2:num), (((eq Prop) (((eq num) (bit0 X2)) (bit0 Y2))) (((eq num) X2) Y2))) of role axiom named fact_12_verit__eq__simplify_I8_J
% 0.59/0.84 A new axiom: (forall (X2:num) (Y2:num), (((eq Prop) (((eq num) (bit0 X2)) (bit0 Y2))) (((eq num) X2) Y2)))
% 0.59/0.84 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq num) (bit0 M)) (bit0 N))) (((eq num) M) N))) of role axiom named fact_13_semiring__norm_I87_J
% 0.59/0.84 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq num) (bit0 M)) (bit0 N))) (((eq num) M) N)))
% 0.59/0.84 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq extended_enat) (numera1916890842035813515d_enat M)) (numera1916890842035813515d_enat N))) (((eq num) M) N))) of role axiom named fact_14_numeral__eq__iff
% 0.59/0.84 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq extended_enat) (numera1916890842035813515d_enat M)) (numera1916890842035813515d_enat N))) (((eq num) M) N)))
% 0.59/0.84 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (((eq num) M) N))) of role axiom named fact_15_numeral__eq__iff
% 0.59/0.84 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (((eq num) M) N)))
% 0.59/0.84 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq real) (numeral_numeral_real M)) (numeral_numeral_real N))) (((eq num) M) N))) of role axiom named fact_16_numeral__eq__iff
% 0.59/0.84 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq real) (numeral_numeral_real M)) (numeral_numeral_real N))) (((eq num) M) N)))
% 0.59/0.84 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat M)) (numeral_numeral_nat N))) (((eq num) M) N))) of role axiom named fact_17_numeral__eq__iff
% 0.59/0.84 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat M)) (numeral_numeral_nat N))) (((eq num) M) N)))
% 0.59/0.84 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq int) (numeral_numeral_int M)) (numeral_numeral_int N))) (((eq num) M) N))) of role axiom named fact_18_numeral__eq__iff
% 0.59/0.84 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq int) (numeral_numeral_int M)) (numeral_numeral_int N))) (((eq num) M) N)))
% 0.59/0.84 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq rat) (numeral_numeral_rat M)) (numeral_numeral_rat N))) (((eq num) M) N))) of role axiom named fact_19_numeral__eq__iff
% 0.59/0.84 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq rat) (numeral_numeral_rat M)) (numeral_numeral_rat N))) (((eq num) M) N)))
% 0.59/0.85 FOF formula (forall (X2:num), (not (((eq num) one) (bit0 X2)))) of role axiom named fact_20_verit__eq__simplify_I10_J
% 0.59/0.85 A new axiom: (forall (X2:num), (not (((eq num) one) (bit0 X2))))
% 0.59/0.85 FOF formula (((eq (option_nat->(option_nat->option_nat))) vEBT_VEBT_power) (vEBT_V4262088993061758097ft_nat power_power_nat)) of role axiom named fact_21_local_Opower__def
% 0.59/0.85 A new axiom: (((eq (option_nat->(option_nat->option_nat))) vEBT_VEBT_power) (vEBT_V4262088993061758097ft_nat power_power_nat))
% 0.59/0.85 FOF formula (forall (T:vEBT_VEBT) (X:nat), ((vEBT_VEBT_minNull T)->(((vEBT_vebt_member T) X)->False))) of role axiom named fact_22_min__Null__member
% 0.59/0.85 A new axiom: (forall (T:vEBT_VEBT) (X:nat), ((vEBT_VEBT_minNull T)->(((vEBT_vebt_member T) X)->False)))
% 0.59/0.85 FOF formula ((vEBT_invar_vebt summary2) m) of role axiom named fact_23__C2_Ohyps_C_I1_J
% 0.59/0.85 A new axiom: ((vEBT_invar_vebt summary2) m)
% 0.59/0.85 FOF formula (forall (T:vEBT_VEBT) (N:nat) (X:nat), (((vEBT_invar_vebt T) N)->((vEBT_invar_vebt ((vEBT_VEBT_insert T) X)) N))) of role axiom named fact_24_insert_H__pres__valid
% 0.59/0.85 A new axiom: (forall (T:vEBT_VEBT) (N:nat) (X:nat), (((vEBT_invar_vebt T) N)->((vEBT_invar_vebt ((vEBT_VEBT_insert T) X)) N)))
% 0.59/0.85 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_num (bit0 M)) (bit0 N))) ((ord_less_num M) N))) of role axiom named fact_25_semiring__norm_I78_J
% 0.59/0.85 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_num (bit0 M)) (bit0 N))) ((ord_less_num M) N)))
% 0.59/0.85 FOF formula (forall (M:num), (((ord_less_num M) one)->False)) of role axiom named fact_26_semiring__norm_I75_J
% 0.59/0.85 A new axiom: (forall (M:num), (((ord_less_num M) one)->False))
% 0.59/0.85 FOF formula (forall (N:num), ((ord_less_num one) (bit0 N))) of role axiom named fact_27_semiring__norm_I76_J
% 0.59/0.85 A new axiom: (forall (N:num), ((ord_less_num one) (bit0 N)))
% 0.59/0.85 FOF formula (forall (T:vEBT_VEBT) (N:nat) (X:nat), (((vEBT_invar_vebt T) N)->(((eq Prop) ((vEBT_vebt_member T) X)) ((member_nat X) (vEBT_set_vebt T))))) of role axiom named fact_28_member__correct
% 0.59/0.85 A new axiom: (forall (T:vEBT_VEBT) (N:nat) (X:nat), (((vEBT_invar_vebt T) N)->(((eq Prop) ((vEBT_vebt_member T) X)) ((member_nat X) (vEBT_set_vebt T)))))
% 0.59/0.85 FOF formula (forall (A:real), (((ord_less_real A) A)->False)) of role axiom named fact_29_verit__comp__simplify1_I1_J
% 0.59/0.85 A new axiom: (forall (A:real), (((ord_less_real A) A)->False))
% 0.59/0.85 FOF formula (forall (A:rat), (((ord_less_rat A) A)->False)) of role axiom named fact_30_verit__comp__simplify1_I1_J
% 0.59/0.85 A new axiom: (forall (A:rat), (((ord_less_rat A) A)->False))
% 0.59/0.85 FOF formula (forall (A:num), (((ord_less_num A) A)->False)) of role axiom named fact_31_verit__comp__simplify1_I1_J
% 0.59/0.85 A new axiom: (forall (A:num), (((ord_less_num A) A)->False))
% 0.59/0.85 FOF formula (forall (A:nat), (((ord_less_nat A) A)->False)) of role axiom named fact_32_verit__comp__simplify1_I1_J
% 0.59/0.85 A new axiom: (forall (A:nat), (((ord_less_nat A) A)->False))
% 0.59/0.85 FOF formula (forall (A:int), (((ord_less_int A) A)->False)) of role axiom named fact_33_verit__comp__simplify1_I1_J
% 0.59/0.85 A new axiom: (forall (A:int), (((ord_less_int A) A)->False))
% 0.59/0.85 FOF formula (forall (A:extended_enat), (((ord_le72135733267957522d_enat A) A)->False)) of role axiom named fact_34_verit__comp__simplify1_I1_J
% 0.59/0.85 A new axiom: (forall (A:extended_enat), (((ord_le72135733267957522d_enat A) A)->False))
% 0.59/0.85 FOF formula (forall (T:vEBT_VEBT) (N:nat) (X:nat) (Y:nat), (((vEBT_invar_vebt T) N)->(((ord_less_nat X) ((power_power_nat (numeral_numeral_nat (bit0 one))) N))->(((ord_less_nat Y) ((power_power_nat (numeral_numeral_nat (bit0 one))) N))->(((vEBT_vebt_member ((vEBT_vebt_insert T) X)) Y)->((or ((vEBT_vebt_member T) Y)) (((eq nat) X) Y))))))) of role axiom named fact_35_post__member__pre__member
% 0.59/0.85 A new axiom: (forall (T:vEBT_VEBT) (N:nat) (X:nat) (Y:nat), (((vEBT_invar_vebt T) N)->(((ord_less_nat X) ((power_power_nat (numeral_numeral_nat (bit0 one))) N))->(((ord_less_nat Y) ((power_power_nat (numeral_numeral_nat (bit0 one))) N))->(((vEBT_vebt_member ((vEBT_vebt_insert T) X)) Y)->((or ((vEBT_vebt_member T) Y)) (((eq nat) X) Y)))))))
% 0.59/0.85 FOF formula (forall (T:vEBT_VEBT) (N:nat) (X:nat), (((vEBT_invar_vebt T) N)->(((ord_less_nat X) ((power_power_nat (numeral_numeral_nat (bit0 one))) N))->((vEBT_invar_vebt ((vEBT_vebt_insert T) X)) N)))) of role axiom named fact_36_valid__pres__insert
% 0.67/0.86 A new axiom: (forall (T:vEBT_VEBT) (N:nat) (X:nat), (((vEBT_invar_vebt T) N)->(((ord_less_nat X) ((power_power_nat (numeral_numeral_nat (bit0 one))) N))->((vEBT_invar_vebt ((vEBT_vebt_insert T) X)) N))))
% 0.67/0.86 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_le72135733267957522d_enat (numera1916890842035813515d_enat M)) (numera1916890842035813515d_enat N))) ((ord_less_nat (numeral_numeral_nat M)) (numeral_numeral_nat N)))) of role axiom named fact_37_enat__ord__number_I2_J
% 0.67/0.86 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_le72135733267957522d_enat (numera1916890842035813515d_enat M)) (numera1916890842035813515d_enat N))) ((ord_less_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))))
% 0.67/0.86 FOF formula (forall (X3:vEBT_VEBT), (((member_VEBT_VEBT X3) (set_VEBT_VEBT2 treeList))->((vEBT_invar_vebt X3) na))) of role axiom named fact_38_aa
% 0.67/0.86 A new axiom: (forall (X3:vEBT_VEBT), (((member_VEBT_VEBT X3) (set_VEBT_VEBT2 treeList))->((vEBT_invar_vebt X3) na)))
% 0.67/0.86 FOF formula ((vEBT_invar_vebt sa) deg) of role axiom named fact_39__C2_Oprems_C_I1_J
% 0.67/0.86 A new axiom: ((vEBT_invar_vebt sa) deg)
% 0.67/0.86 FOF formula (((eq (list_VEBT_VEBT->(list_VEBT_VEBT->Prop))) (fun (Y3:list_VEBT_VEBT) (Z:list_VEBT_VEBT)=> (((eq list_VEBT_VEBT) Y3) Z))) (fun (Xs:list_VEBT_VEBT) (Ys:list_VEBT_VEBT)=> ((and (((eq nat) (size_s6755466524823107622T_VEBT Xs)) (size_s6755466524823107622T_VEBT Ys))) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) (size_s6755466524823107622T_VEBT Xs))->(((eq vEBT_VEBT) ((nth_VEBT_VEBT Xs) _TPTP_I)) ((nth_VEBT_VEBT Ys) _TPTP_I))))))) of role axiom named fact_40_list__eq__iff__nth__eq
% 0.67/0.86 A new axiom: (((eq (list_VEBT_VEBT->(list_VEBT_VEBT->Prop))) (fun (Y3:list_VEBT_VEBT) (Z:list_VEBT_VEBT)=> (((eq list_VEBT_VEBT) Y3) Z))) (fun (Xs:list_VEBT_VEBT) (Ys:list_VEBT_VEBT)=> ((and (((eq nat) (size_s6755466524823107622T_VEBT Xs)) (size_s6755466524823107622T_VEBT Ys))) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) (size_s6755466524823107622T_VEBT Xs))->(((eq vEBT_VEBT) ((nth_VEBT_VEBT Xs) _TPTP_I)) ((nth_VEBT_VEBT Ys) _TPTP_I)))))))
% 0.67/0.86 FOF formula (((eq (list_o->(list_o->Prop))) (fun (Y3:list_o) (Z:list_o)=> (((eq list_o) Y3) Z))) (fun (Xs:list_o) (Ys:list_o)=> ((and (((eq nat) (size_size_list_o Xs)) (size_size_list_o Ys))) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) (size_size_list_o Xs))->(((eq Prop) ((nth_o Xs) _TPTP_I)) ((nth_o Ys) _TPTP_I))))))) of role axiom named fact_41_list__eq__iff__nth__eq
% 0.67/0.86 A new axiom: (((eq (list_o->(list_o->Prop))) (fun (Y3:list_o) (Z:list_o)=> (((eq list_o) Y3) Z))) (fun (Xs:list_o) (Ys:list_o)=> ((and (((eq nat) (size_size_list_o Xs)) (size_size_list_o Ys))) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) (size_size_list_o Xs))->(((eq Prop) ((nth_o Xs) _TPTP_I)) ((nth_o Ys) _TPTP_I)))))))
% 0.67/0.86 FOF formula (((eq (list_nat->(list_nat->Prop))) (fun (Y3:list_nat) (Z:list_nat)=> (((eq list_nat) Y3) Z))) (fun (Xs:list_nat) (Ys:list_nat)=> ((and (((eq nat) (size_size_list_nat Xs)) (size_size_list_nat Ys))) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) (size_size_list_nat Xs))->(((eq nat) ((nth_nat Xs) _TPTP_I)) ((nth_nat Ys) _TPTP_I))))))) of role axiom named fact_42_list__eq__iff__nth__eq
% 0.67/0.86 A new axiom: (((eq (list_nat->(list_nat->Prop))) (fun (Y3:list_nat) (Z:list_nat)=> (((eq list_nat) Y3) Z))) (fun (Xs:list_nat) (Ys:list_nat)=> ((and (((eq nat) (size_size_list_nat Xs)) (size_size_list_nat Ys))) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) (size_size_list_nat Xs))->(((eq nat) ((nth_nat Xs) _TPTP_I)) ((nth_nat Ys) _TPTP_I)))))))
% 0.67/0.86 FOF formula (((eq (list_int->(list_int->Prop))) (fun (Y3:list_int) (Z:list_int)=> (((eq list_int) Y3) Z))) (fun (Xs:list_int) (Ys:list_int)=> ((and (((eq nat) (size_size_list_int Xs)) (size_size_list_int Ys))) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) (size_size_list_int Xs))->(((eq int) ((nth_int Xs) _TPTP_I)) ((nth_int Ys) _TPTP_I))))))) of role axiom named fact_43_list__eq__iff__nth__eq
% 0.67/0.86 A new axiom: (((eq (list_int->(list_int->Prop))) (fun (Y3:list_int) (Z:list_int)=> (((eq list_int) Y3) Z))) (fun (Xs:list_int) (Ys:list_int)=> ((and (((eq nat) (size_size_list_int Xs)) (size_size_list_int Ys))) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) (size_size_list_int Xs))->(((eq int) ((nth_int Xs) _TPTP_I)) ((nth_int Ys) _TPTP_I)))))))
% 0.68/0.88 FOF formula (forall (K:nat) (P:(nat->(vEBT_VEBT->Prop))), (((eq Prop) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) K)->((ex vEBT_VEBT) (fun (X4:vEBT_VEBT)=> ((P _TPTP_I) X4)))))) ((ex list_VEBT_VEBT) (fun (Xs:list_VEBT_VEBT)=> ((and (((eq nat) (size_s6755466524823107622T_VEBT Xs)) K)) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) K)->((P _TPTP_I) ((nth_VEBT_VEBT Xs) _TPTP_I))))))))) of role axiom named fact_44_Skolem__list__nth
% 0.68/0.88 A new axiom: (forall (K:nat) (P:(nat->(vEBT_VEBT->Prop))), (((eq Prop) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) K)->((ex vEBT_VEBT) (fun (X4:vEBT_VEBT)=> ((P _TPTP_I) X4)))))) ((ex list_VEBT_VEBT) (fun (Xs:list_VEBT_VEBT)=> ((and (((eq nat) (size_s6755466524823107622T_VEBT Xs)) K)) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) K)->((P _TPTP_I) ((nth_VEBT_VEBT Xs) _TPTP_I)))))))))
% 0.68/0.88 FOF formula (forall (K:nat) (P:(nat->(Prop->Prop))), (((eq Prop) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) K)->((ex Prop) (fun (X4:Prop)=> ((P _TPTP_I) X4)))))) ((ex list_o) (fun (Xs:list_o)=> ((and (((eq nat) (size_size_list_o Xs)) K)) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) K)->((P _TPTP_I) ((nth_o Xs) _TPTP_I))))))))) of role axiom named fact_45_Skolem__list__nth
% 0.68/0.88 A new axiom: (forall (K:nat) (P:(nat->(Prop->Prop))), (((eq Prop) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) K)->((ex Prop) (fun (X4:Prop)=> ((P _TPTP_I) X4)))))) ((ex list_o) (fun (Xs:list_o)=> ((and (((eq nat) (size_size_list_o Xs)) K)) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) K)->((P _TPTP_I) ((nth_o Xs) _TPTP_I)))))))))
% 0.68/0.88 FOF formula (forall (K:nat) (P:(nat->(nat->Prop))), (((eq Prop) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) K)->((ex nat) (fun (X4:nat)=> ((P _TPTP_I) X4)))))) ((ex list_nat) (fun (Xs:list_nat)=> ((and (((eq nat) (size_size_list_nat Xs)) K)) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) K)->((P _TPTP_I) ((nth_nat Xs) _TPTP_I))))))))) of role axiom named fact_46_Skolem__list__nth
% 0.68/0.88 A new axiom: (forall (K:nat) (P:(nat->(nat->Prop))), (((eq Prop) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) K)->((ex nat) (fun (X4:nat)=> ((P _TPTP_I) X4)))))) ((ex list_nat) (fun (Xs:list_nat)=> ((and (((eq nat) (size_size_list_nat Xs)) K)) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) K)->((P _TPTP_I) ((nth_nat Xs) _TPTP_I)))))))))
% 0.68/0.88 FOF formula (forall (K:nat) (P:(nat->(int->Prop))), (((eq Prop) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) K)->((ex int) (fun (X4:int)=> ((P _TPTP_I) X4)))))) ((ex list_int) (fun (Xs:list_int)=> ((and (((eq nat) (size_size_list_int Xs)) K)) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) K)->((P _TPTP_I) ((nth_int Xs) _TPTP_I))))))))) of role axiom named fact_47_Skolem__list__nth
% 0.68/0.88 A new axiom: (forall (K:nat) (P:(nat->(int->Prop))), (((eq Prop) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) K)->((ex int) (fun (X4:int)=> ((P _TPTP_I) X4)))))) ((ex list_int) (fun (Xs:list_int)=> ((and (((eq nat) (size_size_list_int Xs)) K)) (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) K)->((P _TPTP_I) ((nth_int Xs) _TPTP_I)))))))))
% 0.68/0.88 FOF formula (forall (Xs2:list_VEBT_VEBT) (Ys2:list_VEBT_VEBT), ((((eq nat) (size_s6755466524823107622T_VEBT Xs2)) (size_s6755466524823107622T_VEBT Ys2))->((forall (I2:nat), (((ord_less_nat I2) (size_s6755466524823107622T_VEBT Xs2))->(((eq vEBT_VEBT) ((nth_VEBT_VEBT Xs2) I2)) ((nth_VEBT_VEBT Ys2) I2))))->(((eq list_VEBT_VEBT) Xs2) Ys2)))) of role axiom named fact_48_nth__equalityI
% 0.68/0.88 A new axiom: (forall (Xs2:list_VEBT_VEBT) (Ys2:list_VEBT_VEBT), ((((eq nat) (size_s6755466524823107622T_VEBT Xs2)) (size_s6755466524823107622T_VEBT Ys2))->((forall (I2:nat), (((ord_less_nat I2) (size_s6755466524823107622T_VEBT Xs2))->(((eq vEBT_VEBT) ((nth_VEBT_VEBT Xs2) I2)) ((nth_VEBT_VEBT Ys2) I2))))->(((eq list_VEBT_VEBT) Xs2) Ys2))))
% 0.68/0.88 FOF formula (forall (Xs2:list_o) (Ys2:list_o), ((((eq nat) (size_size_list_o Xs2)) (size_size_list_o Ys2))->((forall (I2:nat), (((ord_less_nat I2) (size_size_list_o Xs2))->(((eq Prop) ((nth_o Xs2) I2)) ((nth_o Ys2) I2))))->(((eq list_o) Xs2) Ys2)))) of role axiom named fact_49_nth__equalityI
% 0.68/0.89 A new axiom: (forall (Xs2:list_o) (Ys2:list_o), ((((eq nat) (size_size_list_o Xs2)) (size_size_list_o Ys2))->((forall (I2:nat), (((ord_less_nat I2) (size_size_list_o Xs2))->(((eq Prop) ((nth_o Xs2) I2)) ((nth_o Ys2) I2))))->(((eq list_o) Xs2) Ys2))))
% 0.68/0.89 FOF formula (forall (Xs2:list_nat) (Ys2:list_nat), ((((eq nat) (size_size_list_nat Xs2)) (size_size_list_nat Ys2))->((forall (I2:nat), (((ord_less_nat I2) (size_size_list_nat Xs2))->(((eq nat) ((nth_nat Xs2) I2)) ((nth_nat Ys2) I2))))->(((eq list_nat) Xs2) Ys2)))) of role axiom named fact_50_nth__equalityI
% 0.68/0.89 A new axiom: (forall (Xs2:list_nat) (Ys2:list_nat), ((((eq nat) (size_size_list_nat Xs2)) (size_size_list_nat Ys2))->((forall (I2:nat), (((ord_less_nat I2) (size_size_list_nat Xs2))->(((eq nat) ((nth_nat Xs2) I2)) ((nth_nat Ys2) I2))))->(((eq list_nat) Xs2) Ys2))))
% 0.68/0.89 FOF formula (forall (Xs2:list_int) (Ys2:list_int), ((((eq nat) (size_size_list_int Xs2)) (size_size_list_int Ys2))->((forall (I2:nat), (((ord_less_nat I2) (size_size_list_int Xs2))->(((eq int) ((nth_int Xs2) I2)) ((nth_int Ys2) I2))))->(((eq list_int) Xs2) Ys2)))) of role axiom named fact_51_nth__equalityI
% 0.68/0.89 A new axiom: (forall (Xs2:list_int) (Ys2:list_int), ((((eq nat) (size_size_list_int Xs2)) (size_size_list_int Ys2))->((forall (I2:nat), (((ord_less_nat I2) (size_size_list_int Xs2))->(((eq int) ((nth_int Xs2) I2)) ((nth_int Ys2) I2))))->(((eq list_int) Xs2) Ys2))))
% 0.68/0.89 FOF formula (forall (K:num) (L:num), (((eq extended_enat) ((power_8040749407984259932d_enat (numera1916890842035813515d_enat K)) (numeral_numeral_nat L))) (numera1916890842035813515d_enat ((pow K) L)))) of role axiom named fact_52_power__numeral
% 0.68/0.89 A new axiom: (forall (K:num) (L:num), (((eq extended_enat) ((power_8040749407984259932d_enat (numera1916890842035813515d_enat K)) (numeral_numeral_nat L))) (numera1916890842035813515d_enat ((pow K) L))))
% 0.68/0.89 FOF formula (forall (K:num) (L:num), (((eq complex) ((power_power_complex (numera6690914467698888265omplex K)) (numeral_numeral_nat L))) (numera6690914467698888265omplex ((pow K) L)))) of role axiom named fact_53_power__numeral
% 0.68/0.89 A new axiom: (forall (K:num) (L:num), (((eq complex) ((power_power_complex (numera6690914467698888265omplex K)) (numeral_numeral_nat L))) (numera6690914467698888265omplex ((pow K) L))))
% 0.68/0.89 FOF formula (forall (K:num) (L:num), (((eq real) ((power_power_real (numeral_numeral_real K)) (numeral_numeral_nat L))) (numeral_numeral_real ((pow K) L)))) of role axiom named fact_54_power__numeral
% 0.68/0.89 A new axiom: (forall (K:num) (L:num), (((eq real) ((power_power_real (numeral_numeral_real K)) (numeral_numeral_nat L))) (numeral_numeral_real ((pow K) L))))
% 0.68/0.89 FOF formula (forall (K:num) (L:num), (((eq nat) ((power_power_nat (numeral_numeral_nat K)) (numeral_numeral_nat L))) (numeral_numeral_nat ((pow K) L)))) of role axiom named fact_55_power__numeral
% 0.68/0.89 A new axiom: (forall (K:num) (L:num), (((eq nat) ((power_power_nat (numeral_numeral_nat K)) (numeral_numeral_nat L))) (numeral_numeral_nat ((pow K) L))))
% 0.68/0.89 FOF formula (forall (K:num) (L:num), (((eq int) ((power_power_int (numeral_numeral_int K)) (numeral_numeral_nat L))) (numeral_numeral_int ((pow K) L)))) of role axiom named fact_56_power__numeral
% 0.68/0.89 A new axiom: (forall (K:num) (L:num), (((eq int) ((power_power_int (numeral_numeral_int K)) (numeral_numeral_nat L))) (numeral_numeral_int ((pow K) L))))
% 0.68/0.89 FOF formula (forall (K:num) (L:num), (((eq rat) ((power_power_rat (numeral_numeral_rat K)) (numeral_numeral_nat L))) (numeral_numeral_rat ((pow K) L)))) of role axiom named fact_57_power__numeral
% 0.68/0.89 A new axiom: (forall (K:num) (L:num), (((eq rat) ((power_power_rat (numeral_numeral_rat K)) (numeral_numeral_nat L))) (numeral_numeral_rat ((pow K) L))))
% 0.68/0.89 FOF formula (forall (X3:vEBT_VEBT), (((member_VEBT_VEBT X3) (set_VEBT_VEBT2 treeList2))->((and ((vEBT_invar_vebt X3) na)) (forall (Xa:vEBT_VEBT), (((vEBT_invar_vebt Xa) na)->((((eq set_nat) (vEBT_VEBT_set_vebt X3)) (vEBT_VEBT_set_vebt Xa))->(((eq vEBT_VEBT) Xa) X3))))))) of role axiom named fact_58__C2_OIH_C_I1_J
% 0.68/0.90 A new axiom: (forall (X3:vEBT_VEBT), (((member_VEBT_VEBT X3) (set_VEBT_VEBT2 treeList2))->((and ((vEBT_invar_vebt X3) na)) (forall (Xa:vEBT_VEBT), (((vEBT_invar_vebt Xa) na)->((((eq set_nat) (vEBT_VEBT_set_vebt X3)) (vEBT_VEBT_set_vebt Xa))->(((eq vEBT_VEBT) Xa) X3)))))))
% 0.68/0.90 FOF formula (((eq nat) deg) ((plus_plus_nat na) m)) of role axiom named fact_59__C2_Ohyps_C_I4_J
% 0.68/0.90 A new axiom: (((eq nat) deg) ((plus_plus_nat na) m))
% 0.68/0.90 FOF formula (((eq (vEBT_VEBT->(nat->Prop))) vEBT_VEBT_valid) vEBT_invar_vebt) of role axiom named fact_60_valid__eq
% 0.68/0.90 A new axiom: (((eq (vEBT_VEBT->(nat->Prop))) vEBT_VEBT_valid) vEBT_invar_vebt)
% 0.68/0.90 FOF formula (forall (T:vEBT_VEBT) (D:nat), (((vEBT_VEBT_valid T) D)->((vEBT_invar_vebt T) D))) of role axiom named fact_61_valid__eq2
% 0.68/0.90 A new axiom: (forall (T:vEBT_VEBT) (D:nat), (((vEBT_VEBT_valid T) D)->((vEBT_invar_vebt T) D)))
% 0.68/0.90 FOF formula (forall (T:vEBT_VEBT) (D:nat), (((vEBT_invar_vebt T) D)->((vEBT_VEBT_valid T) D))) of role axiom named fact_62_valid__eq1
% 0.68/0.90 A new axiom: (forall (T:vEBT_VEBT) (D:nat), (((vEBT_invar_vebt T) D)->((vEBT_VEBT_valid T) D)))
% 0.68/0.90 FOF formula (forall (T:vEBT_VEBT) (N:nat), (((vEBT_invar_vebt T) N)->(((eq set_nat) (vEBT_set_vebt T)) (vEBT_VEBT_set_vebt T)))) of role axiom named fact_63_set__vebt__set__vebt_H__valid
% 0.68/0.90 A new axiom: (forall (T:vEBT_VEBT) (N:nat), (((vEBT_invar_vebt T) N)->(((eq set_nat) (vEBT_set_vebt T)) (vEBT_VEBT_set_vebt T))))
% 0.68/0.90 FOF formula (forall (Xs2:list_complex) (P:(complex->Prop)) (N:nat), ((forall (X5:complex), (((member_complex X5) (set_complex2 Xs2))->(P X5)))->(((ord_less_nat N) (size_s3451745648224563538omplex Xs2))->(P ((nth_complex Xs2) N))))) of role axiom named fact_64_inthall
% 0.68/0.90 A new axiom: (forall (Xs2:list_complex) (P:(complex->Prop)) (N:nat), ((forall (X5:complex), (((member_complex X5) (set_complex2 Xs2))->(P X5)))->(((ord_less_nat N) (size_s3451745648224563538omplex Xs2))->(P ((nth_complex Xs2) N)))))
% 0.68/0.90 FOF formula (forall (Xs2:list_real) (P:(real->Prop)) (N:nat), ((forall (X5:real), (((member_real X5) (set_real2 Xs2))->(P X5)))->(((ord_less_nat N) (size_size_list_real Xs2))->(P ((nth_real Xs2) N))))) of role axiom named fact_65_inthall
% 0.68/0.90 A new axiom: (forall (Xs2:list_real) (P:(real->Prop)) (N:nat), ((forall (X5:real), (((member_real X5) (set_real2 Xs2))->(P X5)))->(((ord_less_nat N) (size_size_list_real Xs2))->(P ((nth_real Xs2) N)))))
% 0.68/0.90 FOF formula (forall (Xs2:list_set_nat) (P:(set_nat->Prop)) (N:nat), ((forall (X5:set_nat), (((member_set_nat X5) (set_set_nat2 Xs2))->(P X5)))->(((ord_less_nat N) (size_s3254054031482475050et_nat Xs2))->(P ((nth_set_nat Xs2) N))))) of role axiom named fact_66_inthall
% 0.68/0.90 A new axiom: (forall (Xs2:list_set_nat) (P:(set_nat->Prop)) (N:nat), ((forall (X5:set_nat), (((member_set_nat X5) (set_set_nat2 Xs2))->(P X5)))->(((ord_less_nat N) (size_s3254054031482475050et_nat Xs2))->(P ((nth_set_nat Xs2) N)))))
% 0.68/0.90 FOF formula (forall (Xs2:list_VEBT_VEBT) (P:(vEBT_VEBT->Prop)) (N:nat), ((forall (X5:vEBT_VEBT), (((member_VEBT_VEBT X5) (set_VEBT_VEBT2 Xs2))->(P X5)))->(((ord_less_nat N) (size_s6755466524823107622T_VEBT Xs2))->(P ((nth_VEBT_VEBT Xs2) N))))) of role axiom named fact_67_inthall
% 0.68/0.90 A new axiom: (forall (Xs2:list_VEBT_VEBT) (P:(vEBT_VEBT->Prop)) (N:nat), ((forall (X5:vEBT_VEBT), (((member_VEBT_VEBT X5) (set_VEBT_VEBT2 Xs2))->(P X5)))->(((ord_less_nat N) (size_s6755466524823107622T_VEBT Xs2))->(P ((nth_VEBT_VEBT Xs2) N)))))
% 0.68/0.90 FOF formula (forall (Xs2:list_o) (P:(Prop->Prop)) (N:nat), ((forall (X5:Prop), (((member_o X5) (set_o2 Xs2))->(P X5)))->(((ord_less_nat N) (size_size_list_o Xs2))->(P ((nth_o Xs2) N))))) of role axiom named fact_68_inthall
% 0.68/0.90 A new axiom: (forall (Xs2:list_o) (P:(Prop->Prop)) (N:nat), ((forall (X5:Prop), (((member_o X5) (set_o2 Xs2))->(P X5)))->(((ord_less_nat N) (size_size_list_o Xs2))->(P ((nth_o Xs2) N)))))
% 0.68/0.90 FOF formula (forall (Xs2:list_nat) (P:(nat->Prop)) (N:nat), ((forall (X5:nat), (((member_nat X5) (set_nat2 Xs2))->(P X5)))->(((ord_less_nat N) (size_size_list_nat Xs2))->(P ((nth_nat Xs2) N))))) of role axiom named fact_69_inthall
% 0.71/0.91 A new axiom: (forall (Xs2:list_nat) (P:(nat->Prop)) (N:nat), ((forall (X5:nat), (((member_nat X5) (set_nat2 Xs2))->(P X5)))->(((ord_less_nat N) (size_size_list_nat Xs2))->(P ((nth_nat Xs2) N)))))
% 0.71/0.91 FOF formula (forall (Xs2:list_int) (P:(int->Prop)) (N:nat), ((forall (X5:int), (((member_int X5) (set_int2 Xs2))->(P X5)))->(((ord_less_nat N) (size_size_list_int Xs2))->(P ((nth_int Xs2) N))))) of role axiom named fact_70_inthall
% 0.71/0.91 A new axiom: (forall (Xs2:list_int) (P:(int->Prop)) (N:nat), ((forall (X5:int), (((member_int X5) (set_int2 Xs2))->(P X5)))->(((ord_less_nat N) (size_size_list_int Xs2))->(P ((nth_int Xs2) N)))))
% 0.71/0.91 FOF formula (forall (S:vEBT_VEBT), (((vEBT_invar_vebt S) m)->((((eq set_nat) (vEBT_VEBT_set_vebt summary2)) (vEBT_VEBT_set_vebt S))->(((eq vEBT_VEBT) S) summary2)))) of role axiom named fact_71__C2_OIH_C_I2_J
% 0.71/0.91 A new axiom: (forall (S:vEBT_VEBT), (((vEBT_invar_vebt S) m)->((((eq set_nat) (vEBT_VEBT_set_vebt summary2)) (vEBT_VEBT_set_vebt S))->(((eq vEBT_VEBT) S) summary2))))
% 0.71/0.91 FOF formula (forall (V:num) (W:num) (Z2:extended_enat), (((eq extended_enat) ((plus_p3455044024723400733d_enat (numera1916890842035813515d_enat V)) ((plus_p3455044024723400733d_enat (numera1916890842035813515d_enat W)) Z2))) ((plus_p3455044024723400733d_enat (numera1916890842035813515d_enat ((plus_plus_num V) W))) Z2))) of role axiom named fact_72_add__numeral__left
% 0.71/0.91 A new axiom: (forall (V:num) (W:num) (Z2:extended_enat), (((eq extended_enat) ((plus_p3455044024723400733d_enat (numera1916890842035813515d_enat V)) ((plus_p3455044024723400733d_enat (numera1916890842035813515d_enat W)) Z2))) ((plus_p3455044024723400733d_enat (numera1916890842035813515d_enat ((plus_plus_num V) W))) Z2)))
% 0.71/0.91 FOF formula (forall (V:num) (W:num) (Z2:complex), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex V)) ((plus_plus_complex (numera6690914467698888265omplex W)) Z2))) ((plus_plus_complex (numera6690914467698888265omplex ((plus_plus_num V) W))) Z2))) of role axiom named fact_73_add__numeral__left
% 0.71/0.91 A new axiom: (forall (V:num) (W:num) (Z2:complex), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex V)) ((plus_plus_complex (numera6690914467698888265omplex W)) Z2))) ((plus_plus_complex (numera6690914467698888265omplex ((plus_plus_num V) W))) Z2)))
% 0.71/0.91 FOF formula (forall (V:num) (W:num) (Z2:real), (((eq real) ((plus_plus_real (numeral_numeral_real V)) ((plus_plus_real (numeral_numeral_real W)) Z2))) ((plus_plus_real (numeral_numeral_real ((plus_plus_num V) W))) Z2))) of role axiom named fact_74_add__numeral__left
% 0.71/0.91 A new axiom: (forall (V:num) (W:num) (Z2:real), (((eq real) ((plus_plus_real (numeral_numeral_real V)) ((plus_plus_real (numeral_numeral_real W)) Z2))) ((plus_plus_real (numeral_numeral_real ((plus_plus_num V) W))) Z2)))
% 0.71/0.91 FOF formula (forall (V:num) (W:num) (Z2:nat), (((eq nat) ((plus_plus_nat (numeral_numeral_nat V)) ((plus_plus_nat (numeral_numeral_nat W)) Z2))) ((plus_plus_nat (numeral_numeral_nat ((plus_plus_num V) W))) Z2))) of role axiom named fact_75_add__numeral__left
% 0.71/0.91 A new axiom: (forall (V:num) (W:num) (Z2:nat), (((eq nat) ((plus_plus_nat (numeral_numeral_nat V)) ((plus_plus_nat (numeral_numeral_nat W)) Z2))) ((plus_plus_nat (numeral_numeral_nat ((plus_plus_num V) W))) Z2)))
% 0.71/0.91 FOF formula (forall (V:num) (W:num) (Z2:int), (((eq int) ((plus_plus_int (numeral_numeral_int V)) ((plus_plus_int (numeral_numeral_int W)) Z2))) ((plus_plus_int (numeral_numeral_int ((plus_plus_num V) W))) Z2))) of role axiom named fact_76_add__numeral__left
% 0.71/0.91 A new axiom: (forall (V:num) (W:num) (Z2:int), (((eq int) ((plus_plus_int (numeral_numeral_int V)) ((plus_plus_int (numeral_numeral_int W)) Z2))) ((plus_plus_int (numeral_numeral_int ((plus_plus_num V) W))) Z2)))
% 0.71/0.91 FOF formula (forall (V:num) (W:num) (Z2:rat), (((eq rat) ((plus_plus_rat (numeral_numeral_rat V)) ((plus_plus_rat (numeral_numeral_rat W)) Z2))) ((plus_plus_rat (numeral_numeral_rat ((plus_plus_num V) W))) Z2))) of role axiom named fact_77_add__numeral__left
% 0.71/0.91 A new axiom: (forall (V:num) (W:num) (Z2:rat), (((eq rat) ((plus_plus_rat (numeral_numeral_rat V)) ((plus_plus_rat (numeral_numeral_rat W)) Z2))) ((plus_plus_rat (numeral_numeral_rat ((plus_plus_num V) W))) Z2)))
% 0.71/0.92 FOF formula (forall (M:num) (N:num), (((eq extended_enat) ((plus_p3455044024723400733d_enat (numera1916890842035813515d_enat M)) (numera1916890842035813515d_enat N))) (numera1916890842035813515d_enat ((plus_plus_num M) N)))) of role axiom named fact_78_numeral__plus__numeral
% 0.71/0.92 A new axiom: (forall (M:num) (N:num), (((eq extended_enat) ((plus_p3455044024723400733d_enat (numera1916890842035813515d_enat M)) (numera1916890842035813515d_enat N))) (numera1916890842035813515d_enat ((plus_plus_num M) N))))
% 0.71/0.92 FOF formula (forall (M:num) (N:num), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((plus_plus_num M) N)))) of role axiom named fact_79_numeral__plus__numeral
% 0.71/0.92 A new axiom: (forall (M:num) (N:num), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((plus_plus_num M) N))))
% 0.71/0.92 FOF formula (forall (M:num) (N:num), (((eq real) ((plus_plus_real (numeral_numeral_real M)) (numeral_numeral_real N))) (numeral_numeral_real ((plus_plus_num M) N)))) of role axiom named fact_80_numeral__plus__numeral
% 0.71/0.92 A new axiom: (forall (M:num) (N:num), (((eq real) ((plus_plus_real (numeral_numeral_real M)) (numeral_numeral_real N))) (numeral_numeral_real ((plus_plus_num M) N))))
% 0.71/0.92 FOF formula (forall (M:num) (N:num), (((eq nat) ((plus_plus_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) (numeral_numeral_nat ((plus_plus_num M) N)))) of role axiom named fact_81_numeral__plus__numeral
% 0.71/0.92 A new axiom: (forall (M:num) (N:num), (((eq nat) ((plus_plus_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) (numeral_numeral_nat ((plus_plus_num M) N))))
% 0.71/0.92 FOF formula (forall (M:num) (N:num), (((eq int) ((plus_plus_int (numeral_numeral_int M)) (numeral_numeral_int N))) (numeral_numeral_int ((plus_plus_num M) N)))) of role axiom named fact_82_numeral__plus__numeral
% 0.71/0.92 A new axiom: (forall (M:num) (N:num), (((eq int) ((plus_plus_int (numeral_numeral_int M)) (numeral_numeral_int N))) (numeral_numeral_int ((plus_plus_num M) N))))
% 0.71/0.92 FOF formula (forall (M:num) (N:num), (((eq rat) ((plus_plus_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) (numeral_numeral_rat ((plus_plus_num M) N)))) of role axiom named fact_83_numeral__plus__numeral
% 0.71/0.92 A new axiom: (forall (M:num) (N:num), (((eq rat) ((plus_plus_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) (numeral_numeral_rat ((plus_plus_num M) N))))
% 0.71/0.92 <<<s_num @ M @ N ) ) ) ).
% 0.71/0.92
% 0.71/0.92 % numeral_plus_numeral
% 0.71/0.92 thf(fact_84__C2_Ohyps_C_I5_J,axiom,
% 0.71/0.92 ~ ?>>>!!!<<< [X_1: nat] : ( vEBT_V8194947554948674370ptions @ summary2 @ X_1 ) ).
% 0.71/0.92
% 0.71/0.92 % "2.hyps"(5)
% 0.71/0.92 thf(f>>>
% 0.71/0.92 statestack=[0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 22, 30, 36, 43, 50, 124]
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% 0.71/0.92 Unexpected exception Syntax error at '?':QUESTION
% 0.71/0.92 Traceback (most recent call last):
% 0.71/0.92 File "CASC.py", line 79, in <module>
% 0.71/0.92 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.71/0.92 File "/export/starexec/sandbox/solver/bin/TPTP.py", line 38, in __init__
% 0.71/0.92 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.71/0.92 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 265, in parse
% 0.71/0.92 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.71/0.92 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.71/0.92 tok = self.errorfunc(errtoken)
% 0.71/0.92 File "/export/starexec/sandbox/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.71/0.92 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.71/0.92 TPTPparser.TPTPParsingError: Syntax error at '?':QUESTION
%------------------------------------------------------------------------------