TSTP Solution File: ITP224^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP224^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 17:47:36 EDT 2022
% Result : Unknown 0.68s 0.91s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP224^3 : TPTP v7.6.0. Released v7.6.0.
% 0.03/0.14 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 Computer : n014.cluster.edu
% 0.11/0.35 Model : x86_64 x86_64
% 0.11/0.35 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 RAMPerCPU : 8042.1875MB
% 0.11/0.35 OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % DateTime : Fri Mar 18 10:33:14 EDT 2022
% 0.11/0.35 % CPUTime :
% 0.11/0.36 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.11/0.36 Python 2.7.5
% 0.37/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x11a7d88>, <kernel.Type object at 0x11a7a70>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring list_P7413028617227757229T_VEBT:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x11a7950>, <kernel.Type object at 0x11a7638>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring list_P7037539587688870467BT_nat:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x11a7ea8>, <kernel.Type object at 0x2b19a82095f0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring list_P4547456442757143711BT_int:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x11a7950>, <kernel.Type object at 0x2b19a8209488>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring list_P5647936690300460905T_VEBT:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x11a7950>, <kernel.Type object at 0x2b19a82094d0>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring produc8243902056947475879T_VEBT:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x11a7ea8>, <kernel.Type object at 0x11a7d88>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring produc8923325533196201883nteger:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a82095a8>, <kernel.Type object at 0x11a7950>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring list_P3126845725202233233VEBT_o:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a8209440>, <kernel.Type object at 0x2b19a8226d40>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring list_P7495141550334521929T_VEBT:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a8209440>, <kernel.Type object at 0x2b19a82265a8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring list_P8526636022914148096eger_o:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a82095a8>, <kernel.Type object at 0x2b19a8226290>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring option4927543243414619207at_nat:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a8226b00>, <kernel.Type object at 0x2b19a8226bd8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring list_P3744719386663036955um_num:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a8226638>, <kernel.Type object at 0x2b19a82262d8>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring produc9072475918466114483BT_nat:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a8226ab8>, <kernel.Type object at 0x2b19a82095a8>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring produc4894624898956917775BT_int:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a8226cf8>, <kernel.Type object at 0x2b19a8226b00>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring set_Pr1261947904930325089at_nat:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a8226ab8>, <kernel.Type object at 0x2b19a8221b00>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring set_Pr958786334691620121nt_int:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a8226ab8>, <kernel.Type object at 0x2b19a8221b48>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring list_P7333126701944960589_nat_o:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a8226cf8>, <kernel.Type object at 0x2b19a8221830>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring list_P6285523579766656935_o_nat:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a8221560>, <kernel.Type object at 0x2b19a82215a8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring list_P3795440434834930179_o_int:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a8221710>, <kernel.Type object at 0x2b19a8221440>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring produc334124729049499915VEBT_o:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a8221878>, <kernel.Type object at 0x2b19a8226638>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring produc2504756804600209347T_VEBT:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a8221710>, <kernel.Type object at 0x11c4200>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring produc6271795597528267376eger_o:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a8226638>, <kernel.Type object at 0x11c4c20>) of role type named ty_n_t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring product_prod_num_num:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a8221440>, <kernel.Type object at 0x11c4200>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring product_prod_nat_num:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a8221878>, <kernel.Type object at 0x2b19a0728ef0>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring product_prod_nat_nat:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a8221710>, <kernel.Type object at 0x2b19a0728ef0>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring product_prod_int_int:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x11c4dd0>, <kernel.Type object at 0x2b19a0728a70>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring list_P4002435161011370285od_o_o:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a8221710>, <kernel.Type object at 0x2b19a0728ef0>) of role type named ty_n_t__List__Olist_It__List__Olist_It__Nat__Onat_J_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring list_list_nat:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x11c4cb0>, <kernel.Type object at 0x2b19a0728b48>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring list_VEBT_VEBT:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x11c4c20>, <kernel.Type object at 0x2b19a0728710>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring set_list_nat:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x11c4dd0>, <kernel.Type object at 0x2b19a07287a0>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring product_prod_o_nat:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x11c4dd0>, <kernel.Type object at 0x2b19a0728710>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring product_prod_o_int:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a07287a0>, <kernel.Type object at 0x11ca248>) of role type named ty_n_t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring list_set_nat:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a0728710>, <kernel.Type object at 0x11ca248>) of role type named ty_n_t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.37/0.62 Using role type
% 0.37/0.62 Declaring list_Code_integer:Type
% 0.37/0.62 FOF formula (<kernel.Constant object at 0x2b19a0728bd8>, <kernel.Type object at 0x11ca638>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring set_VEBT_VEBT:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b19a0728a70>, <kernel.Type object at 0x11ca8c0>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring set_set_nat:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b19a0728710>, <kernel.Type object at 0x11ca098>) of role type named ty_n_t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring set_Code_integer:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b19a0728a70>, <kernel.Type object at 0x11ca4d0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Ounit_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring set_Product_unit:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b19a0728bd8>, <kernel.Type object at 0x11caa28>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring list_complex:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b19a0728bd8>, <kernel.Type object at 0x11cadd0>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring product_prod_o_o:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11ca9e0>, <kernel.Type object at 0x11caf80>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring set_complex:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11ca248>, <kernel.Type object at 0x11ca878>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring filter_real:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11ca638>, <kernel.Type object at 0x11ca6c8>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring option_num:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11ca9e0>, <kernel.Type object at 0x11ca7e8>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring filter_nat:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11ca248>, <kernel.Type object at 0x11ca6c8>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring set_char:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11ca7e8>, <kernel.Type object at 0x11cdea8>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring list_real:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11ca8c0>, <kernel.Type object at 0x11cd1b8>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring set_real:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11ca6c8>, <kernel.Type object at 0x11cde60>) of role type named ty_n_t__List__Olist_It__Num__Onum_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring list_num:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11ca9e0>, <kernel.Type object at 0x11cdd88>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring list_nat:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11ca6c8>, <kernel.Type object at 0x11cdcf8>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring list_int:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11ca8c0>, <kernel.Type object at 0x11cdab8>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring vEBT_VEBT:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11ca8c0>, <kernel.Type object at 0x11cd3f8>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring set_rat:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11cd2d8>, <kernel.Type object at 0x11cda70>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring set_num:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11cdd88>, <kernel.Type object at 0x11cd9e0>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring set_nat:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11cdea8>, <kernel.Type object at 0x11cdfc8>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring set_int:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11cd1b8>, <kernel.Type object at 0x11cd6c8>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring code_integer:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11cd2d8>, <kernel.Type object at 0x11cdf38>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring extended_enat:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11cdea8>, <kernel.Type object at 0x11cdfc8>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring list_o:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11cde60>, <kernel.Type object at 0x11cd488>) of role type named ty_n_t__Complex__Ocomplex
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring complex:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11cd1b8>, <kernel.Type object at 0x11cd6c8>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring set_o:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11cdea8>, <kernel.Type object at 0x11cd758>) of role type named ty_n_t__String__Ochar
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring char:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11cde60>, <kernel.Type object at 0x11cdbd8>) of role type named ty_n_t__Real__Oreal
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring real:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11cd1b8>, <kernel.Type object at 0x11cdb48>) of role type named ty_n_t__Rat__Orat
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring rat:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11cdea8>, <kernel.Type object at 0x11cd7e8>) of role type named ty_n_t__Num__Onum
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring num:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11cde60>, <kernel.Type object at 0x11cde18>) of role type named ty_n_t__Nat__Onat
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring nat:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11cd1b8>, <kernel.Type object at 0x11cd128>) of role type named ty_n_t__Int__Oint
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring int:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11cd1b8>, <kernel.DependentProduct object at 0x2b19a0751200>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Rat__Orat
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring archim2889992004027027881ng_rat:(rat->int)
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11cdea8>, <kernel.DependentProduct object at 0x2b19a0751170>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring archim7802044766580827645g_real:(real->int)
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11cd1b8>, <kernel.DependentProduct object at 0x2b19a07510e0>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring archim3151403230148437115or_rat:(rat->int)
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11cd1b8>, <kernel.DependentProduct object at 0x2b19a0751050>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring archim6058952711729229775r_real:(real->int)
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x11cd7e8>, <kernel.DependentProduct object at 0x2b19a07512d8>) of role type named sy_c_Archimedean__Field_Ofrac_001t__Rat__Orat
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring archimedean_frac_rat:(rat->rat)
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b19a0751128>, <kernel.DependentProduct object at 0x2b19a0751320>) of role type named sy_c_Archimedean__Field_Ofrac_001t__Real__Oreal
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring archim2898591450579166408c_real:(real->real)
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b19a0751050>, <kernel.DependentProduct object at 0x2b19a07513b0>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b19a07510e0>, <kernel.DependentProduct object at 0x2b19a0751440>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring archim8280529875227126926d_real:(real->int)
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b19a0751200>, <kernel.DependentProduct object at 0x2b19a0751518>) of role type named sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal_001_062_I_062_It__Nat__Onat_Mt__Rat__Orat_J_M_062_It__Nat__Onat_Mt__Rat__Orat_J_J_001_062_It__Real__Oreal_Mt__Real__Oreal_J
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring bNF_re4695409256820837752l_real:(((nat->rat)->(real->Prop))->((((nat->rat)->(nat->rat))->((real->real)->Prop))->(((nat->rat)->((nat->rat)->(nat->rat)))->((real->(real->real))->Prop))))
% 0.44/0.64 FOF formula (<kernel.Constant object at 0x2b19a07510e0>, <kernel.DependentProduct object at 0x2b19a0751488>) of role type named sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal
% 0.44/0.64 Using role type
% 0.44/0.64 Declaring bNF_re3023117138289059399t_real:(((nat->rat)->(real->Prop))->(((nat->rat)->(real->Prop))->(((nat->rat)->(nat->rat))->((real->real)->Prop))))
% 0.44/0.64 FOF formula (<kernel.Constant object at 0x2b19a0751518>, <kernel.DependentProduct object at 0x2b19a0751440>) of role type named sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal_001_Eo_001_Eo
% 0.44/0.64 Using role type
% 0.44/0.64 Declaring bNF_re4297313714947099218al_o_o:(((nat->rat)->(real->Prop))->((Prop->(Prop->Prop))->(((nat->rat)->Prop)->((real->Prop)->Prop))))
% 0.44/0.64 FOF formula (<kernel.Constant object at 0x2b19a0751488>, <kernel.DependentProduct object at 0x2b19a07515a8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_062_It__Int__Oint_M_Eo_J_001_062_It__Int__Oint_M_Eo_J
% 0.44/0.64 Using role type
% 0.44/0.64 Declaring bNF_re3403563459893282935_int_o:((int->(int->Prop))->(((int->Prop)->((int->Prop)->Prop))->((int->(int->Prop))->((int->(int->Prop))->Prop))))
% 0.44/0.64 FOF formula (<kernel.Constant object at 0x2b19a0751440>, <kernel.DependentProduct object at 0x2b19a0751878>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.44/0.64 Using role type
% 0.44/0.64 Declaring bNF_re711492959462206631nt_int:((int->(int->Prop))->(((int->int)->((int->int)->Prop))->((int->(int->int))->((int->(int->int))->Prop))))
% 0.44/0.64 FOF formula (<kernel.Constant object at 0x2b19a07515a8>, <kernel.DependentProduct object at 0x2b19a0751950>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.44/0.64 Using role type
% 0.44/0.64 Declaring bNF_re157797125943740599nt_int:((int->(int->Prop))->(((int->product_prod_int_int)->((int->product_prod_int_int)->Prop))->((int->(int->product_prod_int_int))->((int->(int->product_prod_int_int))->Prop))))
% 0.44/0.64 FOF formula (<kernel.Constant object at 0x2b19a0751878>, <kernel.DependentProduct object at 0x2b19a07519e0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Int__Oint_Mt__Rat__Orat_J
% 0.44/0.64 Using role type
% 0.44/0.64 Declaring bNF_re3461391660133120880nt_rat:((int->(int->Prop))->(((int->product_prod_int_int)->((int->rat)->Prop))->((int->(int->product_prod_int_int))->((int->(int->rat))->Prop))))
% 0.44/0.64 FOF formula (<kernel.Constant object at 0x2b19a0751950>, <kernel.DependentProduct object at 0x2b19a07517a0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_Eo_001_Eo
% 0.44/0.64 Using role type
% 0.44/0.64 Declaring bNF_re5089333283451836215nt_o_o:((int->(int->Prop))->((Prop->(Prop->Prop))->((int->Prop)->((int->Prop)->Prop))))
% 0.44/0.64 FOF formula (<kernel.Constant object at 0x2b19a07519e0>, <kernel.DependentProduct object at 0x2b19a0751998>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.44/0.64 Using role type
% 0.44/0.64 Declaring bNF_re4712519889275205905nt_int:((int->(int->Prop))->((int->(int->Prop))->((int->int)->((int->int)->Prop))))
% 0.44/0.64 FOF formula (<kernel.Constant object at 0x2b19a07517a0>, <kernel.DependentProduct object at 0x2b19a0751a28>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.44/0.64 Using role type
% 0.44/0.64 Declaring bNF_re6250860962936578807nt_int:((int->(int->Prop))->((product_prod_int_int->(product_prod_int_int->Prop))->((int->product_prod_int_int)->((int->product_prod_int_int)->Prop))))
% 0.44/0.64 FOF formula (<kernel.Constant object at 0x2b19a0751998>, <kernel.DependentProduct object at 0x2b19a0751ab8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat
% 0.44/0.65 Using role type
% 0.44/0.65 Declaring bNF_re2214769303045360666nt_rat:((int->(int->Prop))->((product_prod_int_int->(rat->Prop))->((int->product_prod_int_int)->((int->rat)->Prop))))
% 0.44/0.65 FOF formula (<kernel.Constant object at 0x2b19a0751a28>, <kernel.DependentProduct object at 0x2b19a07517e8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_Eo_J
% 0.44/0.65 Using role type
% 0.44/0.65 Declaring bNF_re578469030762574527_nat_o:((nat->(nat->Prop))->(((nat->Prop)->((nat->Prop)->Prop))->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.44/0.65 FOF formula (<kernel.Constant object at 0x2b19a0751ab8>, <kernel.DependentProduct object at 0x2b19a0751cf8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.44/0.65 Using role type
% 0.44/0.65 Declaring bNF_re1345281282404953727at_nat:((nat->(nat->Prop))->(((nat->nat)->((nat->nat)->Prop))->((nat->(nat->nat))->((nat->(nat->nat))->Prop))))
% 0.44/0.65 FOF formula (<kernel.Constant object at 0x2b19a07517e8>, <kernel.DependentProduct object at 0x2b19a07518c0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_Eo_001_Eo
% 0.44/0.65 Using role type
% 0.44/0.65 Declaring bNF_re4705727531993890431at_o_o:((nat->(nat->Prop))->((Prop->(Prop->Prop))->((nat->Prop)->((nat->Prop)->Prop))))
% 0.44/0.65 FOF formula (<kernel.Constant object at 0x2b19a0751cf8>, <kernel.DependentProduct object at 0x2b19a0751cb0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.44/0.65 Using role type
% 0.44/0.65 Declaring bNF_re5653821019739307937at_nat:((nat->(nat->Prop))->((nat->(nat->Prop))->((nat->nat)->((nat->nat)->Prop))))
% 0.44/0.65 FOF formula (<kernel.Constant object at 0x2b19a07518c0>, <kernel.DependentProduct object at 0x2b19a0751d88>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.44/0.65 Using role type
% 0.44/0.65 Declaring bNF_re6830278522597306478at_int:((nat->(nat->Prop))->((product_prod_nat_nat->(int->Prop))->((nat->product_prod_nat_nat)->((nat->int)->Prop))))
% 0.44/0.65 FOF formula (<kernel.Constant object at 0x2b19a0751cb0>, <kernel.DependentProduct object at 0x2b19a0751c68>) of role type named sy_c_BNF__Def_Orel__fun_001t__Num__Onum_001t__Num__Onum_001_062_It__Num__Onum_Mt__Int__Oint_J_001_062_It__Num__Onum_Mt__Int__Oint_J
% 0.44/0.65 Using role type
% 0.44/0.65 Declaring bNF_re8402795839162346335um_int:((num->(num->Prop))->(((num->int)->((num->int)->Prop))->((num->(num->int))->((num->(num->int))->Prop))))
% 0.44/0.65 FOF formula (<kernel.Constant object at 0x2b19a0751d88>, <kernel.DependentProduct object at 0x2b19a0751f38>) of role type named sy_c_BNF__Def_Orel__fun_001t__Num__Onum_001t__Num__Onum_001t__Int__Oint_001t__Int__Oint
% 0.44/0.65 Using role type
% 0.44/0.65 Declaring bNF_re1822329894187522285nt_int:((num->(num->Prop))->((int->(int->Prop))->((num->int)->((num->int)->Prop))))
% 0.44/0.65 FOF formula (<kernel.Constant object at 0x2b19a0751c68>, <kernel.DependentProduct object at 0x2b19a0751050>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.44/0.65 Using role type
% 0.44/0.65 Declaring bNF_re5228765855967844073nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(((product_prod_int_int->product_prod_int_int)->((product_prod_int_int->product_prod_int_int)->Prop))->((product_prod_int_int->(product_prod_int_int->product_prod_int_int))->((product_prod_int_int->(product_prod_int_int->product_prod_int_int))->Prop))))
% 0.44/0.65 FOF formula (<kernel.Constant object at 0x2b19a0751f38>, <kernel.DependentProduct object at 0x2b19a07517e8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo_001_Eo
% 0.44/0.66 Using role type
% 0.44/0.66 Declaring bNF_re8699439704749558557nt_o_o:((product_prod_int_int->(product_prod_int_int->Prop))->((Prop->(Prop->Prop))->((product_prod_int_int->Prop)->((product_prod_int_int->Prop)->Prop))))
% 0.44/0.66 FOF formula (<kernel.Constant object at 0x2b19a0751050>, <kernel.DependentProduct object at 0x11b4050>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.44/0.66 Using role type
% 0.44/0.66 Declaring bNF_re7145576690424134365nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->((product_prod_int_int->(product_prod_int_int->Prop))->((product_prod_int_int->product_prod_int_int)->((product_prod_int_int->product_prod_int_int)->Prop))))
% 0.44/0.66 FOF formula (<kernel.Constant object at 0x2b19a07517e8>, <kernel.DependentProduct object at 0x2b19a0751ef0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Rat__Orat_Mt__Rat__Orat_J
% 0.44/0.66 Using role type
% 0.44/0.66 Declaring bNF_re7627151682743391978at_rat:((product_prod_int_int->(rat->Prop))->(((product_prod_int_int->product_prod_int_int)->((rat->rat)->Prop))->((product_prod_int_int->(product_prod_int_int->product_prod_int_int))->((rat->(rat->rat))->Prop))))
% 0.44/0.66 FOF formula (<kernel.Constant object at 0x2b19a07517e8>, <kernel.DependentProduct object at 0x11b4200>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat_001_Eo_001_Eo
% 0.44/0.66 Using role type
% 0.44/0.66 Declaring bNF_re1494630372529172596at_o_o:((product_prod_int_int->(rat->Prop))->((Prop->(Prop->Prop))->((product_prod_int_int->Prop)->((rat->Prop)->Prop))))
% 0.44/0.66 FOF formula (<kernel.Constant object at 0x2b19a07517e8>, <kernel.DependentProduct object at 0x11b42d8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat
% 0.44/0.66 Using role type
% 0.44/0.66 Declaring bNF_re8279943556446156061nt_rat:((product_prod_int_int->(rat->Prop))->((product_prod_int_int->(rat->Prop))->((product_prod_int_int->product_prod_int_int)->((rat->rat)->Prop))))
% 0.44/0.66 FOF formula (<kernel.Constant object at 0x2b19a07517e8>, <kernel.DependentProduct object at 0x11b4170>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001_062_It__Int__Oint_M_Eo_J
% 0.44/0.66 Using role type
% 0.44/0.66 Declaring bNF_re717283939379294677_int_o:((product_prod_nat_nat->(int->Prop))->(((product_prod_nat_nat->Prop)->((int->Prop)->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((int->(int->Prop))->Prop))))
% 0.44/0.66 FOF formula (<kernel.Constant object at 0x11b42d8>, <kernel.DependentProduct object at 0x11b4488>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.44/0.66 Using role type
% 0.44/0.66 Declaring bNF_re7408651293131936558nt_int:((product_prod_nat_nat->(int->Prop))->(((product_prod_nat_nat->product_prod_nat_nat)->((int->int)->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->((int->(int->int))->Prop))))
% 0.44/0.66 FOF formula (<kernel.Constant object at 0x11b4290>, <kernel.DependentProduct object at 0x11b4098>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001_Eo_001_Eo
% 0.44/0.66 Using role type
% 0.44/0.66 Declaring bNF_re6644619430987730960nt_o_o:((product_prod_nat_nat->(int->Prop))->((Prop->(Prop->Prop))->((product_prod_nat_nat->Prop)->((int->Prop)->Prop))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b4488>, <kernel.DependentProduct object at 0x11b4518>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bNF_re4555766996558763186at_nat:((product_prod_nat_nat->(int->Prop))->((nat->(nat->Prop))->((product_prod_nat_nat->nat)->((int->nat)->Prop))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b4098>, <kernel.DependentProduct object at 0x11b45f0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bNF_re7400052026677387805at_int:((product_prod_nat_nat->(int->Prop))->((product_prod_nat_nat->(int->Prop))->((product_prod_nat_nat->product_prod_nat_nat)->((int->int)->Prop))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b4518>, <kernel.DependentProduct object at 0x11b4098>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bNF_re4202695980764964119_nat_o:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->Prop))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b4170>, <kernel.DependentProduct object at 0x11b4758>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bNF_re3099431351363272937at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(((product_prod_nat_nat->product_prod_nat_nat)->((product_prod_nat_nat->product_prod_nat_nat)->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->Prop))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b4098>, <kernel.DependentProduct object at 0x11b42d8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo_001_Eo
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bNF_re3666534408544137501at_o_o:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((Prop->(Prop->Prop))->((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->Prop))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b4758>, <kernel.DependentProduct object at 0x11b4710>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Nat__Onat
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bNF_re8246922863344978751at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((nat->(nat->Prop))->((product_prod_nat_nat->nat)->((product_prod_nat_nat->nat)->Prop))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b42d8>, <kernel.DependentProduct object at 0x11b43f8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bNF_re2241393799969408733at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((product_prod_nat_nat->product_prod_nat_nat)->((product_prod_nat_nat->product_prod_nat_nat)->Prop))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b4170>, <kernel.DependentProduct object at 0x11b4710>) of role type named sy_c_Binomial_Obinomial
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring binomial:(nat->(nat->nat))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b4950>, <kernel.DependentProduct object at 0x11b42d8>) of role type named sy_c_Binomial_Ogbinomial_001t__Complex__Ocomplex
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring gbinomial_complex:(complex->(nat->complex))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b44d0>, <kernel.DependentProduct object at 0x11b4170>) of role type named sy_c_Binomial_Ogbinomial_001t__Int__Oint
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring gbinomial_int:(int->(nat->int))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b47e8>, <kernel.DependentProduct object at 0x11b4950>) of role type named sy_c_Binomial_Ogbinomial_001t__Nat__Onat
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring gbinomial_nat:(nat->(nat->nat))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b40e0>, <kernel.DependentProduct object at 0x11b44d0>) of role type named sy_c_Binomial_Ogbinomial_001t__Rat__Orat
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring gbinomial_rat:(rat->(nat->rat))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b43f8>, <kernel.DependentProduct object at 0x11b47e8>) of role type named sy_c_Binomial_Ogbinomial_001t__Real__Oreal
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring gbinomial_real:(real->(nat->real))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b4368>, <kernel.DependentProduct object at 0x11b43f8>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b4710>, <kernel.DependentProduct object at 0x11b47e8>) of role type named sy_c_Bit__Operations_Oand__not__num
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bit_and_not_num:(num->(num->option_num))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b4170>, <kernel.DependentProduct object at 0x11b40e0>) of role type named sy_c_Bit__Operations_Oand__not__num__rel
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bit_and_not_num_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b4a28>, <kernel.DependentProduct object at 0x11b4170>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b4b48>, <kernel.DependentProduct object at 0x11b4368>) of role type named sy_c_Bit__Operations_Oor__not__num__neg
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bit_or_not_num_neg:(num->(num->num))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b40e0>, <kernel.DependentProduct object at 0x11b4b48>) of role type named sy_c_Bit__Operations_Oor__not__num__neg__rel
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bit_or3848514188828904588eg_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b4368>, <kernel.DependentProduct object at 0x11b4bd8>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Code____Numeral__Ointeger
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bit_ri7632146776885996613nteger:(code_integer->code_integer)
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b4b48>, <kernel.DependentProduct object at 0x11b4c68>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b4bd8>, <kernel.DependentProduct object at 0x11b4b48>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b4c68>, <kernel.DependentProduct object at 0x11b4bd8>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x11b4b48>, <kernel.DependentProduct object at 0x11b4c68>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Code____Numeral__Ointeger
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se3949692690581998587nteger:(code_integer->(code_integer->code_integer))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b4bd8>, <kernel.DependentProduct object at 0x11b4b48>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b4c68>, <kernel.DependentProduct object at 0x11b4bd8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b4b48>, <kernel.DependentProduct object at 0x11b4c68>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b4bd8>, <kernel.DependentProduct object at 0x11b42d8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b4c68>, <kernel.DependentProduct object at 0x11b4f38>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b4c68>, <kernel.DependentProduct object at 0x11b7098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b4c68>, <kernel.DependentProduct object at 0x11b7200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b4bd8>, <kernel.DependentProduct object at 0x11b7128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Code____Numeral__Ointeger
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se2119862282449309892nteger:(nat->code_integer)
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7248>, <kernel.DependentProduct object at 0x11b7368>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7098>, <kernel.DependentProduct object at 0x11b73f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7200>, <kernel.DependentProduct object at 0x11b7440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7050>, <kernel.DependentProduct object at 0x11b7200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7440>, <kernel.DependentProduct object at 0x11b7050>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Code____Numeral__Ointeger
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se7788150548672797655nteger:(nat->(code_integer->code_integer))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7200>, <kernel.DependentProduct object at 0x11b7440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7050>, <kernel.DependentProduct object at 0x11b7200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7440>, <kernel.DependentProduct object at 0x11b7050>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7200>, <kernel.DependentProduct object at 0x11b7440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7050>, <kernel.DependentProduct object at 0x11b7200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7440>, <kernel.DependentProduct object at 0x11b7050>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Code____Numeral__Ointeger
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se1745604003318907178nteger:(nat->(code_integer->code_integer))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7200>, <kernel.DependentProduct object at 0x11b7440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7050>, <kernel.DependentProduct object at 0x11b7200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7440>, <kernel.DependentProduct object at 0x11b7050>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7200>, <kernel.DependentProduct object at 0x11b7440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7050>, <kernel.DependentProduct object at 0x11b7200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7440>, <kernel.DependentProduct object at 0x11b7050>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Code____Numeral__Ointeger
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se3222712562003087583nteger:(code_integer->(code_integer->code_integer))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7200>, <kernel.DependentProduct object at 0x11b7440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7050>, <kernel.DependentProduct object at 0x11b7200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7440>, <kernel.DependentProduct object at 0x11b7050>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Code____Numeral__Ointeger
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_se9216721137139052372nteger:(code_integer->(nat->Prop))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x11b7200>, <kernel.DependentProduct object at 0x11b7440>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11b7050>, <kernel.DependentProduct object at 0x11b7200>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11b7ef0>, <kernel.DependentProduct object at 0x11b7440>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11b7050>, <kernel.DependentProduct object at 0x11b7ef0>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oand__num
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring bit_un1837492267222099188nd_num:(num->(num->option_num))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11b7440>, <kernel.DependentProduct object at 0x11be0e0>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oand__num__rel
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring bit_un5425074673868309765um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11b7ef0>, <kernel.DependentProduct object at 0x11be050>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oxor__num
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring bit_un6178654185764691216or_num:(num->(num->option_num))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11b7ef0>, <kernel.DependentProduct object at 0x11be1b8>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oxor__num__rel
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring bit_un3595099601533988841um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11b7200>, <kernel.DependentProduct object at 0x11be0e0>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring bit_un7362597486090784418nd_num:(num->(num->option_num))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be1b8>, <kernel.DependentProduct object at 0x11be2d8>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num__rel
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring bit_un4731106466462545111um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be320>, <kernel.DependentProduct object at 0x11be128>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring bit_un2480387367778600638or_num:(num->(num->option_num))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be0e0>, <kernel.DependentProduct object at 0x11be3f8>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num__rel
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring bit_un2901131394128224187um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be440>, <kernel.DependentProduct object at 0x11be3b0>) of role type named sy_c_Code__Numeral_Obit__cut__integer
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring code_bit_cut_integer:(code_integer->produc6271795597528267376eger_o)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be248>, <kernel.DependentProduct object at 0x11be440>) of role type named sy_c_Code__Numeral_Odivmod__abs
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring code_divmod_abs:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be368>, <kernel.DependentProduct object at 0x11be3b0>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be560>, <kernel.DependentProduct object at 0x11be4d0>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring code_int_of_integer:(code_integer->int)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be3b0>, <kernel.DependentProduct object at 0x11be638>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring code_integer_of_int:(int->code_integer)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be518>, <kernel.DependentProduct object at 0x11be5f0>) of role type named sy_c_Code__Numeral_Ointeger__of__num
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring code_integer_of_num:(num->code_integer)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be368>, <kernel.DependentProduct object at 0x11be680>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring code_nat_of_integer:(code_integer->nat)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be4d0>, <kernel.DependentProduct object at 0x11be6c8>) of role type named sy_c_Code__Numeral_Onum__of__integer
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring code_num_of_integer:(code_integer->num)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be5a8>, <kernel.DependentProduct object at 0x11be758>) of role type named sy_c_Code__Target__Int_Onegative
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring code_Target_negative:(num->int)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be638>, <kernel.DependentProduct object at 0x11be7a0>) of role type named sy_c_Code__Target__Int_Opositive
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring code_Target_positive:(num->int)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be368>, <kernel.DependentProduct object at 0x11be6c8>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Real__Oreal
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring comple4887499456419720421f_real:(set_real->real)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be638>, <kernel.DependentProduct object at 0x11be830>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Nat__Onat_J
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring comple7806235888213564991et_nat:(set_set_nat->set_nat)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be3b0>, <kernel.DependentProduct object at 0x11be8c0>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Int__Oint
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring complete_Sup_Sup_int:(set_int->int)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be4d0>, <kernel.DependentProduct object at 0x11be908>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Nat__Onat
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring complete_Sup_Sup_nat:(set_nat->nat)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be3b0>, <kernel.DependentProduct object at 0x11be950>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Real__Oreal
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring comple1385675409528146559p_real:(set_real->real)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be7e8>, <kernel.DependentProduct object at 0x11be9e0>) of role type named sy_c_Complex_OArg
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring arg:(complex->real)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be8c0>, <kernel.DependentProduct object at 0x11bea28>) of role type named sy_c_Complex_Ocis
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring cis:(real->complex)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be638>, <kernel.DependentProduct object at 0x11bea70>) of role type named sy_c_Complex_Ocnj
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring cnj:(complex->complex)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be680>, <kernel.DependentProduct object at 0x11be638>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring complex2:(real->(real->complex))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11beb00>, <kernel.DependentProduct object at 0x11beb90>) of role type named sy_c_Complex_Ocomplex_OIm
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring im:(complex->real)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be638>, <kernel.DependentProduct object at 0x11beb48>) of role type named sy_c_Complex_Ocomplex_ORe
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring re:(complex->real)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be3b0>, <kernel.DependentProduct object at 0x11bea28>) of role type named sy_c_Complex_Ocsqrt
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring csqrt:(complex->complex)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11be950>, <kernel.Constant object at 0x11beb90>) of role type named sy_c_Complex_Oimaginary__unit
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring imaginary_unit:complex
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x11bea70>, <kernel.DependentProduct object at 0x11be638>) of role type named sy_c_Complex_Orcis
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring rcis:(real->(real->complex))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11bea28>, <kernel.DependentProduct object at 0x11bec20>) of role type named sy_c_Deriv_Odifferentiable_001t__Real__Oreal_001t__Real__Oreal
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring differ6690327859849518006l_real:((real->real)->(filter_real->Prop))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11be638>, <kernel.DependentProduct object at 0x11bed88>) of role type named sy_c_Deriv_Ohas__derivative_001t__Real__Oreal_001t__Real__Oreal
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring has_de1759254742604945161l_real:((real->real)->((real->real)->(filter_real->Prop)))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11bec20>, <kernel.DependentProduct object at 0x11bed40>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11beb90>, <kernel.DependentProduct object at 0x11bee60>) of role type named sy_c_Divides_Oadjust__div
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring adjust_div:(product_prod_int_int->int)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11beb48>, <kernel.DependentProduct object at 0x11bec20>) of role type named sy_c_Divides_Oadjust__mod
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring adjust_mod:(int->(int->int))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11bee18>, <kernel.DependentProduct object at 0x11beb90>) of role type named sy_c_Divides_Odivmod__nat
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11be680>, <kernel.DependentProduct object at 0x11bee18>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11beb48>, <kernel.DependentProduct object at 0x11bed40>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Code____Numeral__Ointeger
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring unique5706413561485394159nteger:(produc8923325533196201883nteger->Prop)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11be680>, <kernel.DependentProduct object at 0x11bef38>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11bed40>, <kernel.DependentProduct object at 0x11c0050>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11bef38>, <kernel.DependentProduct object at 0x11c00e0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11bef38>, <kernel.DependentProduct object at 0x11c01b8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11befc8>, <kernel.DependentProduct object at 0x11c0200>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11c01b8>, <kernel.DependentProduct object at 0x11c02d8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring unique4921790084139445826nteger:(num->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11c0320>, <kernel.DependentProduct object at 0x11c0368>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11c0290>, <kernel.DependentProduct object at 0x11c03b0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11c0170>, <kernel.DependentProduct object at 0x11c0290>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Code____Numeral__Ointeger
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring comm_s8582702949713902594nteger:(code_integer->(nat->code_integer))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11c03b0>, <kernel.DependentProduct object at 0x11c0170>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Complex__Ocomplex
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring comm_s2602460028002588243omplex:(complex->(nat->complex))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11c0290>, <kernel.DependentProduct object at 0x11c03b0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Int__Oint
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring comm_s4660882817536571857er_int:(int->(nat->int))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11c0170>, <kernel.DependentProduct object at 0x11c0290>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Nat__Onat
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring comm_s4663373288045622133er_nat:(nat->(nat->nat))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11c03b0>, <kernel.DependentProduct object at 0x11c0170>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Rat__Orat
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring comm_s4028243227959126397er_rat:(rat->(nat->rat))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11c0290>, <kernel.DependentProduct object at 0x11c03b0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Real__Oreal
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring comm_s7457072308508201937r_real:(real->(nat->real))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11c0170>, <kernel.DependentProduct object at 0x11c0320>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Code____Numeral__Ointeger
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring semiri3624122377584611663nteger:(nat->code_integer)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11c03b0>, <kernel.DependentProduct object at 0x11c0878>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11c0320>, <kernel.DependentProduct object at 0x11c0908>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Int__Oint
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring semiri1406184849735516958ct_int:(nat->int)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11c0878>, <kernel.DependentProduct object at 0x11c0998>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11c0908>, <kernel.DependentProduct object at 0x11c0a28>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Rat__Orat
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring semiri773545260158071498ct_rat:(nat->rat)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11c0998>, <kernel.DependentProduct object at 0x11c0ab8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11c0a28>, <kernel.DependentProduct object at 0x11c0b48>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Complex__Ocomplex
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring invers8013647133539491842omplex:(complex->complex)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x11c0200>, <kernel.DependentProduct object at 0x11c0bd8>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring inverse_inverse_rat:(rat->rat)
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0a70>, <kernel.DependentProduct object at 0x11c0c20>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring inverse_inverse_real:(real->real)
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0b00>, <kernel.Constant object at 0x11c0c20>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring at_bot_real:filter_real
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0bd8>, <kernel.Constant object at 0x11c0c20>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring at_top_nat:filter_nat
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0ab8>, <kernel.Constant object at 0x11c0c20>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring at_top_real:filter_real
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0a28>, <kernel.DependentProduct object at 0x11c0bd8>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0c20>, <kernel.DependentProduct object at 0x11c0ab8>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0bd8>, <kernel.DependentProduct object at 0x11c0cf8>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0e18>, <kernel.DependentProduct object at 0x11c0d88>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0ea8>, <kernel.DependentProduct object at 0x11c0dd0>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c02d8>, <kernel.DependentProduct object at 0x11c0f38>) of role type named sy_c_Finite__Set_Ocard_001_Eo
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring finite_card_o:(set_o->nat)
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0a28>, <kernel.DependentProduct object at 0x11c0ea8>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring finite_card_complex:(set_complex->nat)
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0f38>, <kernel.DependentProduct object at 0x11c0e60>) of role type named sy_c_Finite__Set_Ocard_001t__Int__Oint
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring finite_card_int:(set_int->nat)
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0bd8>, <kernel.DependentProduct object at 0x11c0f80>) of role type named sy_c_Finite__Set_Ocard_001t__List__Olist_It__Nat__Onat_J
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring finite_card_list_nat:(set_list_nat->nat)
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c02d8>, <kernel.DependentProduct object at 0x11c0fc8>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring finite_card_nat:(set_nat->nat)
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0bd8>, <kernel.DependentProduct object at 0x2b19a075b050>) of role type named sy_c_Finite__Set_Ocard_001t__Product____Type__Ounit
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring finite410649719033368117t_unit:(set_Product_unit->nat)
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0ea8>, <kernel.DependentProduct object at 0x2b19a075b0e0>) of role type named sy_c_Finite__Set_Ocard_001t__Set__Oset_It__Nat__Onat_J
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring finite_card_set_nat:(set_set_nat->nat)
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0f38>, <kernel.DependentProduct object at 0x2b19a075b128>) of role type named sy_c_Finite__Set_Ocard_001t__String__Ochar
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring finite_card_char:(set_char->nat)
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0ea8>, <kernel.DependentProduct object at 0x2b19a075b098>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0f38>, <kernel.DependentProduct object at 0x2b19a075b1b8>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring finite_finite_int:(set_int->Prop)
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0ea8>, <kernel.DependentProduct object at 0x2b19a075b200>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring finite_finite_nat:(set_nat->Prop)
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2b19a075b0e0>, <kernel.DependentProduct object at 0x2b19a075b098>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0ea8>, <kernel.DependentProduct object at 0x2b19a075b098>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x11c0ea8>, <kernel.DependentProduct object at 0x2b19a075b248>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2b19a075b320>, <kernel.DependentProduct object at 0x2b19a075b200>) 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
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring comp_C8797469213163452608nteger:(((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->(code_integer->code_integer))->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2b19a075b248>, <kernel.DependentProduct object at 0x2b19a075b320>) 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
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring comp_C1593894019821074884nteger:((code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->code_integer)->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2b19a075b440>, <kernel.DependentProduct object at 0x2b19a075b488>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Int__Oint_001t__Num__Onum
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring comp_int_int_num:((int->int)->((num->int)->(num->int)))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2b19a075b0e0>, <kernel.DependentProduct object at 0x2b19a075b5f0>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring comp_nat_nat_nat:((nat->nat)->((nat->nat)->(nat->nat)))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2b19a075b050>, <kernel.DependentProduct object at 0x2b19a075b518>) of role type named sy_c_Fun_Oid_001_Eo
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring id_o:(Prop->Prop)
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2b19a075b368>, <kernel.DependentProduct object at 0x2b19a075b200>) of role type named sy_c_Fun_Oid_001t__Nat__Onat
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring id_nat:(nat->nat)
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2b19a075b098>, <kernel.DependentProduct object at 0x2b19a075b200>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Nat__Onat
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring inj_on_nat_nat:((nat->nat)->(set_nat->Prop))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2b19a075b368>, <kernel.DependentProduct object at 0x2b19a075b488>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__String__Ochar
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring inj_on_nat_char:((nat->char)->(set_nat->Prop))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075b200>, <kernel.DependentProduct object at 0x2b19a075b050>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Real__Oreal
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring inj_on_real_real:((real->real)->(set_real->Prop))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075b368>, <kernel.DependentProduct object at 0x2b19a075b4d0>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001_062_It__Int__Oint_M_Eo_J
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring map_fu434086159418415080_int_o:((int->product_prod_nat_nat)->(((product_prod_nat_nat->Prop)->(int->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(int->(int->Prop)))))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075b050>, <kernel.DependentProduct object at 0x2b19a075b518>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring map_fu4960017516451851995nt_int:((int->product_prod_nat_nat)->(((product_prod_nat_nat->product_prod_nat_nat)->(int->int))->((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(int->(int->int)))))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075b4d0>, <kernel.DependentProduct object at 0x2b19a075b050>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo_001_Eo
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring map_fu4826362097070443709at_o_o:((int->product_prod_nat_nat)->((Prop->Prop)->((product_prod_nat_nat->Prop)->(int->Prop))))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075b518>, <kernel.DependentProduct object at 0x2b19a075b950>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Nat__Onat
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring map_fu2345160673673942751at_nat:((int->product_prod_nat_nat)->((nat->nat)->((product_prod_nat_nat->nat)->(int->nat))))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075b050>, <kernel.DependentProduct object at 0x2b19a075ba28>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring map_fu3667384564859982768at_int:((int->product_prod_nat_nat)->((product_prod_nat_nat->int)->((product_prod_nat_nat->product_prod_nat_nat)->(int->int))))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075b950>, <kernel.DependentProduct object at 0x2b19a075b998>) of role type named sy_c_Fun_Omap__fun_001t__Rat__Orat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Rat__Orat_Mt__Rat__Orat_J
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring map_fu4333342158222067775at_rat:((rat->product_prod_int_int)->(((product_prod_int_int->product_prod_int_int)->(rat->rat))->((product_prod_int_int->(product_prod_int_int->product_prod_int_int))->(rat->(rat->rat)))))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075ba28>, <kernel.DependentProduct object at 0x2b19a075b950>) of role type named sy_c_Fun_Omap__fun_001t__Rat__Orat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo_001_Eo
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring map_fu898904425404107465nt_o_o:((rat->product_prod_int_int)->((Prop->Prop)->((product_prod_int_int->Prop)->(rat->Prop))))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075b998>, <kernel.DependentProduct object at 0x2b19a075bb90>) of role type named sy_c_Fun_Omap__fun_001t__Rat__Orat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring map_fu5673905371560938248nt_rat:((rat->product_prod_int_int)->((product_prod_int_int->rat)->((product_prod_int_int->product_prod_int_int)->(rat->rat))))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075b950>, <kernel.DependentProduct object at 0x2b19a075bb00>) of role type named sy_c_Fun_Ostrict__mono__on_001t__Nat__Onat_001t__Nat__Onat
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring strict1292158309912662752at_nat:((nat->nat)->(set_nat->Prop))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075bb90>, <kernel.DependentProduct object at 0x2b19a075bb48>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075bc20>, <kernel.DependentProduct object at 0x2b19a075bcf8>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Int__Oint
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring gcd_Gcd_int:(set_int->int)
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075b908>, <kernel.DependentProduct object at 0x2b19a075bcb0>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Nat__Onat
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring gcd_Gcd_nat:(set_nat->nat)
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075ba70>, <kernel.DependentProduct object at 0x2b19a075bc20>) of role type named sy_c_GCD_Obezw
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring bezw:(nat->(nat->product_prod_int_int))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075bc68>, <kernel.DependentProduct object at 0x2b19a075b908>) of role type named sy_c_GCD_Obezw__rel
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring bezw_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075bb00>, <kernel.DependentProduct object at 0x2b19a075ba70>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Int__Oint
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring gcd_gcd_int:(int->(int->int))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075bd40>, <kernel.DependentProduct object at 0x2b19a075bc68>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Nat__Onat
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring gcd_gcd_nat:(nat->(nat->nat))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075bdd0>, <kernel.DependentProduct object at 0x2b19a075bb00>) of role type named sy_c_GCD_Ogcd__nat__rel
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring gcd_nat_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075bcf8>, <kernel.DependentProduct object at 0x2b19a075bcb0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075ba70>, <kernel.DependentProduct object at 0x2b19a075bea8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring abs_abs_complex:(complex->complex)
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075be60>, <kernel.DependentProduct object at 0x2b19a075bef0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring abs_abs_int:(int->int)
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075bb00>, <kernel.DependentProduct object at 0x2b19a075bf38>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring abs_abs_rat:(rat->rat)
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075bcb0>, <kernel.DependentProduct object at 0x2b19a075bf80>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring abs_abs_real:(real->real)
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075bb00>, <kernel.DependentProduct object at 0x2b19a075bcb0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring minus_8373710615458151222nteger:(code_integer->(code_integer->code_integer))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2b19a075bfc8>, <kernel.DependentProduct object at 0x2b19a075bf38>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a075bb00>, <kernel.DependentProduct object at 0x2b19a075bcb0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Extended____Nat__Oenat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_3235023915231533773d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a075ba70>, <kernel.DependentProduct object at 0x2b19a0761128>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_minus_int:(int->(int->int))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a075bb00>, <kernel.DependentProduct object at 0x2b19a0761200>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a075bcb0>, <kernel.DependentProduct object at 0x2b19a0761248>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_minus_rat:(rat->(rat->rat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a075bb00>, <kernel.DependentProduct object at 0x2b19a0761050>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_minus_real:(real->(real->real))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761128>, <kernel.DependentProduct object at 0x2b19a07612d8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a075bcb0>, <kernel.DependentProduct object at 0x2b19a0761290>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761098>, <kernel.DependentProduct object at 0x2b19a0761200>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761368>, <kernel.DependentProduct object at 0x2b19a0761128>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761098>, <kernel.DependentProduct object at 0x2b19a0761368>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_2163939370556025621et_nat:(set_set_nat->(set_set_nat->set_set_nat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761170>, <kernel.Constant object at 0x2b19a0761368>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring one_one_Code_integer:code_integer
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761320>, <kernel.Constant object at 0x2b19a0761368>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring one_one_complex:complex
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761170>, <kernel.Constant object at 0x2b19a0761200>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a07612d8>, <kernel.Constant object at 0x2b19a0761200>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring one_one_int:int
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a07614d0>, <kernel.Constant object at 0x2b19a0761200>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring one_one_nat:nat
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761518>, <kernel.Constant object at 0x2b19a0761200>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring one_one_rat:rat
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761560>, <kernel.Constant object at 0x2b19a0761200>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring one_one_real:real
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761518>, <kernel.DependentProduct object at 0x2b19a0761560>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a07616c8>, <kernel.DependentProduct object at 0x2b19a0761200>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761518>, <kernel.DependentProduct object at 0x2b19a07616c8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a07617a0>, <kernel.DependentProduct object at 0x2b19a0761200>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring plus_plus_int:(int->(int->int))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a07615a8>, <kernel.DependentProduct object at 0x2b19a0761518>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761878>, <kernel.DependentProduct object at 0x2b19a07617a0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring plus_plus_num:(num->(num->num))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761560>, <kernel.DependentProduct object at 0x2b19a07615a8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761758>, <kernel.DependentProduct object at 0x2b19a0761878>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring plus_plus_real:(real->(real->real))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a07616c8>, <kernel.DependentProduct object at 0x2b19a0761200>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a07617a0>, <kernel.DependentProduct object at 0x2b19a0761518>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring sgn_sgn_complex:(complex->complex)
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a07615a8>, <kernel.DependentProduct object at 0x2b19a0761a28>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring sgn_sgn_int:(int->int)
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761878>, <kernel.DependentProduct object at 0x2b19a0761a70>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring sgn_sgn_rat:(rat->rat)
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761200>, <kernel.DependentProduct object at 0x2b19a0761ab8>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring sgn_sgn_real:(real->real)
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761878>, <kernel.DependentProduct object at 0x2b19a0761200>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761b00>, <kernel.DependentProduct object at 0x2b19a0761ab8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring times_times_complex:(complex->(complex->complex))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761878>, <kernel.DependentProduct object at 0x2b19a0761b00>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761bd8>, <kernel.DependentProduct object at 0x2b19a0761ab8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_times_int:(int->(int->int))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761518>, <kernel.DependentProduct object at 0x2b19a0761878>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_times_nat:(nat->(nat->nat))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761cb0>, <kernel.DependentProduct object at 0x2b19a0761bd8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_times_num:(num->(num->num))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761200>, <kernel.DependentProduct object at 0x2b19a0761518>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_times_rat:(rat->(rat->rat))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761b90>, <kernel.DependentProduct object at 0x2b19a0761cb0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_times_real:(real->(real->real))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761200>, <kernel.DependentProduct object at 0x2b19a0761ab8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761cb0>, <kernel.DependentProduct object at 0x2b19a0761e60>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761b00>, <kernel.DependentProduct object at 0x2b19a0761ef0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus_uminus_int:(int->int)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761e18>, <kernel.DependentProduct object at 0x2b19a0761f38>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus_uminus_rat:(rat->rat)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761878>, <kernel.DependentProduct object at 0x2b19a0761f80>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus_uminus_real:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761e18>, <kernel.DependentProduct object at 0x2b19a0761fc8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761f80>, <kernel.Constant object at 0x2b19a0761f38>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring zero_z3403309356797280102nteger:code_integer
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761b00>, <kernel.Constant object at 0x2b19a0761f38>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring zero_zero_complex:complex
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761b00>, <kernel.Constant object at 0x2b19a0761fc8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761f80>, <kernel.Constant object at 0x2b19a07630e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring zero_zero_int:int
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761b00>, <kernel.Constant object at 0x2b19a0763128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring zero_zero_nat:nat
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b19a0761f80>, <kernel.Constant object at 0x2b19a0763128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring zero_zero_rat:rat
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0761b00>, <kernel.Constant object at 0x2b19a0763128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring zero_zero_real:real
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763098>, <kernel.DependentProduct object at 0x2b19a0763170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups6621422865394947399nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763200>, <kernel.DependentProduct object at 0x2b19a07632d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763098>, <kernel.DependentProduct object at 0x2b19a0763128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a07632d8>, <kernel.DependentProduct object at 0x2b19a0763200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763128>, <kernel.DependentProduct object at 0x2b19a0763098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups5058264527183730370ex_rat:((complex->rat)->(set_complex->rat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763200>, <kernel.DependentProduct object at 0x2b19a07632d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763098>, <kernel.DependentProduct object at 0x2b19a0763128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups7873554091576472773nteger:((int->code_integer)->(set_int->code_integer))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a07632d8>, <kernel.DependentProduct object at 0x2b19a0763200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Complex__Ocomplex
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups3049146728041665814omplex:((int->complex)->(set_int->complex))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763128>, <kernel.DependentProduct object at 0x2b19a0763098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763200>, <kernel.DependentProduct object at 0x2b19a07632d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763098>, <kernel.DependentProduct object at 0x2b19a0763128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Rat__Orat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups3906332499630173760nt_rat:((int->rat)->(set_int->rat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a07632d8>, <kernel.DependentProduct object at 0x2b19a0763200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763128>, <kernel.DependentProduct object at 0x2b19a0763098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups7501900531339628137nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763200>, <kernel.DependentProduct object at 0x2b19a07632d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763098>, <kernel.DependentProduct object at 0x2b19a0763128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a07632d8>, <kernel.DependentProduct object at 0x2b19a0763200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763128>, <kernel.DependentProduct object at 0x2b19a0763098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Rat__Orat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups2906978787729119204at_rat:((nat->rat)->(set_nat->rat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763200>, <kernel.DependentProduct object at 0x2b19a07632d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763098>, <kernel.DependentProduct object at 0x2b19a0763128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups7713935264441627589nteger:((real->code_integer)->(set_real->code_integer))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a07632d8>, <kernel.DependentProduct object at 0x2b19a0763200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups5754745047067104278omplex:((real->complex)->(set_real->complex))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763128>, <kernel.DependentProduct object at 0x2b19a0763098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Int__Oint
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups1932886352136224148al_int:((real->int)->(set_real->int))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763200>, <kernel.DependentProduct object at 0x2b19a07632d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763098>, <kernel.DependentProduct object at 0x2b19a0763128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Rat__Orat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups1300246762558778688al_rat:((real->rat)->(set_real->rat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a07632d8>, <kernel.DependentProduct object at 0x2b19a0763200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763128>, <kernel.DependentProduct object at 0x2b19a0763248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups8294997508430121362at_nat:((set_nat->nat)->(set_set_nat->nat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b19a0763128>, <kernel.DependentProduct object at 0x2b19a0768098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Real__Oreal
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups5107569545109728110t_real:((set_nat->real)->(set_set_nat->real))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a0763128>, <kernel.DependentProduct object at 0x2b19a0768128>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups3708469109370488835omplex:((complex->complex)->(set_complex->complex))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a07632d8>, <kernel.DependentProduct object at 0x2b19a0768170>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Int__Oint
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups858564598930262913ex_int:((complex->int)->(set_complex->int))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a0768200>, <kernel.DependentProduct object at 0x2b19a0768248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups861055069439313189ex_nat:((complex->nat)->(set_complex->nat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a07682d8>, <kernel.DependentProduct object at 0x2b19a07681b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups225925009352817453ex_rat:((complex->rat)->(set_complex->rat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a0768290>, <kernel.DependentProduct object at 0x2b19a0768200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups766887009212190081x_real:((complex->real)->(set_complex->real))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a0768368>, <kernel.DependentProduct object at 0x2b19a07683f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Complex__Ocomplex
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups7440179247065528705omplex:((int->complex)->(set_int->complex))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a0768290>, <kernel.DependentProduct object at 0x2b19a07682d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a07683f8>, <kernel.DependentProduct object at 0x2b19a0768368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Nat__Onat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups1707563613775114915nt_nat:((int->nat)->(set_int->nat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a07682d8>, <kernel.DependentProduct object at 0x2b19a0768290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Rat__Orat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups1072433553688619179nt_rat:((int->rat)->(set_int->rat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a0768368>, <kernel.DependentProduct object at 0x2b19a07683f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Real__Oreal
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups2316167850115554303t_real:((int->real)->(set_int->real))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a0768290>, <kernel.DependentProduct object at 0x2b19a07682d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups6464643781859351333omplex:((nat->complex)->(set_nat->complex))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a07683f8>, <kernel.DependentProduct object at 0x2b19a0768368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a07682d8>, <kernel.DependentProduct object at 0x2b19a0768290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a0768368>, <kernel.DependentProduct object at 0x2b19a07683f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Rat__Orat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups73079841787564623at_rat:((nat->rat)->(set_nat->rat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a0768290>, <kernel.DependentProduct object at 0x2b19a07682d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Real__Oreal
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups129246275422532515t_real:((nat->real)->(set_nat->real))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a07683f8>, <kernel.DependentProduct object at 0x2b19a0768368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups713298508707869441omplex:((real->complex)->(set_real->complex))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a07682d8>, <kernel.DependentProduct object at 0x2b19a0768290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Int__Oint
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups4694064378042380927al_int:((real->int)->(set_real->int))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a0768368>, <kernel.DependentProduct object at 0x2b19a07683f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Nat__Onat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups4696554848551431203al_nat:((real->nat)->(set_real->nat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a0768290>, <kernel.DependentProduct object at 0x2b19a07682d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Rat__Orat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups4061424788464935467al_rat:((real->rat)->(set_real->rat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a07683f8>, <kernel.DependentProduct object at 0x2b19a0768368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Real__Oreal
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups1681761925125756287l_real:((real->real)->(set_real->real))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a07682d8>, <kernel.DependentProduct object at 0x2b19a0768290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Set__Oset_It__Nat__Onat_J_001t__Complex__Ocomplex
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups1092910753850256091omplex:((set_nat->complex)->(set_set_nat->complex))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a0768368>, <kernel.DependentProduct object at 0x2b19a07683f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Set__Oset_It__Nat__Onat_J_001t__Real__Oreal
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups3619160379726066777t_real:((set_nat->real)->(set_set_nat->real))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a0768290>, <kernel.DependentProduct object at 0x2b19a0768368>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Code____Numeral__Ointeger
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups3417619833198082522nteger:((Prop->code_integer)->(code_integer->(list_o->code_integer)))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a07683f8>, <kernel.DependentProduct object at 0x2b19a0768290>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Int__Oint
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups9116527308978886569_o_int:((Prop->int)->(int->(list_o->int)))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a0768368>, <kernel.DependentProduct object at 0x2b19a07683f8>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Nat__Onat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups9119017779487936845_o_nat:((Prop->nat)->(nat->(list_o->nat)))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b19a0768290>, <kernel.DependentProduct object at 0x2b19a076a050>) of role type named sy_c_Groups__List_Omonoid__add__class_Osum__list_001t__Nat__Onat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups4561878855575611511st_nat:(list_nat->nat)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b19a0768320>, <kernel.DependentProduct object at 0x2b19a076a128>) of role type named sy_c_HOL_OThe_001t__Int__Oint
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring the_int:((int->Prop)->int)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b19a07683f8>, <kernel.DependentProduct object at 0x2b19a076a0e0>) of role type named sy_c_HOL_OThe_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring the_Pr4378521158711661632nt_int:((product_prod_int_int->Prop)->product_prod_int_int)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b19a0768200>, <kernel.DependentProduct object at 0x2b19a076a200>) of role type named sy_c_HOL_OThe_001t__Real__Oreal
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring the_real:((real->Prop)->real)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b19a0768368>, <kernel.DependentProduct object at 0x2b19a076a248>) of role type named sy_c_If_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_int_int:(Prop->((int->int)->((int->int)->(int->int))))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b19a0768200>, <kernel.DependentProduct object at 0x2b19a076a0e0>) of role type named sy_c_If_001_062_It__Nat__Onat_M_062_It__Int__Oint_Mt__Int__Oint_J_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_nat_int_int:(Prop->((nat->(int->int))->((nat->(int->int))->(nat->(int->int)))))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b19a0768368>, <kernel.DependentProduct object at 0x2b19a076a1b8>) of role type named sy_c_If_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_nat_nat_nat:(Prop->((nat->(nat->nat))->((nat->(nat->nat))->(nat->(nat->nat)))))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b19a0768368>, <kernel.DependentProduct object at 0x2b19a076a0e0>) of role type named sy_c_If_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_nat_rat:(Prop->((nat->rat)->((nat->rat)->(nat->rat))))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b19a076a320>, <kernel.DependentProduct object at 0x2b19a076a0e0>) of role type named sy_c_If_001t__Code____Numeral__Ointeger
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_Code_integer:(Prop->(code_integer->(code_integer->code_integer)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b19a076a050>, <kernel.DependentProduct object at 0x2b19a076a128>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b19a076a200>, <kernel.DependentProduct object at 0x2b19a076a050>) of role type named sy_c_If_001t__Int__Oint
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_int:(Prop->(int->(int->int)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b19a076a488>, <kernel.DependentProduct object at 0x2b19a076a050>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b19a076a3b0>, <kernel.DependentProduct object at 0x2b19a076a050>) of role type named sy_c_If_001t__List__Olist_It__Nat__Onat_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_list_nat:(Prop->(list_nat->(list_nat->list_nat)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b19a076a4d0>, <kernel.DependentProduct object at 0x2b19a076a050>) of role type named sy_c_If_001t__Nat__Onat
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b19a076a518>, <kernel.DependentProduct object at 0x2b19a076a050>) of role type named sy_c_If_001t__Num__Onum
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_num:(Prop->(num->(num->num)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b19a076a560>, <kernel.DependentProduct object at 0x2b19a076a050>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b19a076a518>, <kernel.DependentProduct object at 0x2b19a076a0e0>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_Pro5737122678794959658eger_o:(Prop->(produc6271795597528267376eger_o->(produc6271795597528267376eger_o->produc6271795597528267376eger_o)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076a050>, <kernel.DependentProduct object at 0x2b19a076a320>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076a0e0>, <kernel.DependentProduct object at 0x2b19a076a248>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076a320>, <kernel.DependentProduct object at 0x2b19a076a560>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076a710>, <kernel.DependentProduct object at 0x2b19a076a560>) of role type named sy_c_If_001t__Rat__Orat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076a7a0>, <kernel.DependentProduct object at 0x2b19a076a560>) of role type named sy_c_If_001t__Real__Oreal
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring if_real:(Prop->(real->(real->real)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076a878>, <kernel.DependentProduct object at 0x2b19a076a560>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076a8c0>, <kernel.DependentProduct object at 0x2b19a076a908>) of role type named sy_c_Int_OAbs__Integ
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring abs_Integ:(product_prod_nat_nat->int)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076a5f0>, <kernel.DependentProduct object at 0x2b19a076a050>) of role type named sy_c_Int_ORep__Integ
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring rep_Integ:(int->product_prod_nat_nat)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076a1b8>, <kernel.DependentProduct object at 0x2b19a076a5f0>) of role type named sy_c_Int_Oint__ge__less__than
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring int_ge_less_than:(int->set_Pr958786334691620121nt_int)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076a320>, <kernel.DependentProduct object at 0x2b19a076a050>) of role type named sy_c_Int_Oint__ge__less__than2
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring int_ge_less_than2:(int->set_Pr958786334691620121nt_int)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076a7a0>, <kernel.DependentProduct object at 0x2b19a076a8c0>) of role type named sy_c_Int_Ointrel
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring intrel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076a5f0>, <kernel.DependentProduct object at 0x2b19a076a950>) of role type named sy_c_Int_Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring nat2:(int->nat)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076a560>, <kernel.DependentProduct object at 0x2b19a076a7a0>) of role type named sy_c_Int_Opcr__int
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring pcr_int:(product_prod_nat_nat->(int->Prop))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076a9e0>, <kernel.DependentProduct object at 0x2b19a076a5f0>) of role type named sy_c_Int_Opower__int_001t__Real__Oreal
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring power_int_real:(real->(int->real))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076a560>, <kernel.Constant object at 0x2b19a076a950>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Code____Numeral__Ointeger
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring ring_11222124179247155820nteger:set_Code_integer
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076a7a0>, <kernel.Constant object at 0x2b19a076a950>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Complex__Ocomplex
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring ring_1_Ints_complex:set_complex
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076ab00>, <kernel.Constant object at 0x2b19a076a950>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Int__Oint
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring ring_1_Ints_int:set_int
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076aab8>, <kernel.Constant object at 0x2b19a076a950>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Rat__Orat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring ring_1_Ints_rat:set_rat
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076a8c0>, <kernel.Constant object at 0x2b19a076a950>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Real__Oreal
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring ring_1_Ints_real:set_real
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076aab8>, <kernel.DependentProduct object at 0x2b19a076ac68>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076a950>, <kernel.DependentProduct object at 0x2b19a076acf8>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076ab48>, <kernel.DependentProduct object at 0x2b19a076ad88>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring ring_1_of_int_int:(int->int)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076ac20>, <kernel.DependentProduct object at 0x2b19a076add0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Rat__Orat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring ring_1_of_int_rat:(int->rat)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076acb0>, <kernel.DependentProduct object at 0x2b19a076ae18>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring ring_1_of_int_real:(int->real)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076ac20>, <kernel.DependentProduct object at 0x2b19a076acb0>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Extended____Nat__Oenat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring inf_in1870772243966228564d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076ae60>, <kernel.DependentProduct object at 0x2b19a076ae18>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Int__Oint
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring inf_inf_int:(int->(int->int))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076acf8>, <kernel.DependentProduct object at 0x2b19a076ac20>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring inf_inf_nat:(nat->(nat->nat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076ae60>, <kernel.DependentProduct object at 0x2b19a076add0>) of role type named sy_c_Lattices_Osemilattice__neutr__order_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring semila1623282765462674594er_nat:((nat->(nat->nat))->(nat->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076ac20>, <kernel.DependentProduct object at 0x2b19a076ae60>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Extended____Nat__Oenat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring sup_su3973961784419623482d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076ae18>, <kernel.DependentProduct object at 0x2b19a076afc8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Int__Oint
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring sup_sup_int:(int->(int->int))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076ae60>, <kernel.DependentProduct object at 0x2b19a076af38>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring sup_sup_nat:(nat->(nat->nat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076ac20>, <kernel.DependentProduct object at 0x2b19a076b170>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring sup_sup_set_nat:(set_nat->(set_nat->set_nat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076ac20>, <kernel.DependentProduct object at 0x2b19a076b128>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Int__Oint
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring lattic8263393255366662781ax_int:(set_int->int)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076afc8>, <kernel.DependentProduct object at 0x2b19a076b248>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076ac20>, <kernel.DependentProduct object at 0x2b19a076b248>) of role type named sy_c_Limits_OBfun_001t__Nat__Onat_001t__Real__Oreal
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring bfun_nat_real:((nat->real)->(filter_nat->Prop))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076ac20>, <kernel.DependentProduct object at 0x2b19a076b098>) of role type named sy_c_List_Oappend_001t__Int__Oint
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring append_int:(list_int->(list_int->list_int))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076b368>, <kernel.DependentProduct object at 0x2b19a076b1b8>) of role type named sy_c_List_Oappend_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring append_nat:(list_nat->(list_nat->list_nat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076b170>, <kernel.DependentProduct object at 0x2b19a076b440>) of role type named sy_c_List_Odistinct_001t__Int__Oint
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring distinct_int:(list_int->Prop)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076b3b0>, <kernel.DependentProduct object at 0x2b19a076b2d8>) of role type named sy_c_List_Odistinct_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring distinct_nat:(list_nat->Prop)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076b248>, <kernel.DependentProduct object at 0x2b19a076b170>) of role type named sy_c_List_Odrop_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring drop_nat:(nat->(list_nat->list_nat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076b488>, <kernel.DependentProduct object at 0x2b19a076b518>) of role type named sy_c_List_Ofold_001t__Int__Oint_001t__Int__Oint
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring fold_int_int:((int->(int->int))->(list_int->(int->int)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076b4d0>, <kernel.DependentProduct object at 0x2b19a076b1b8>) of role type named sy_c_List_Ofold_001t__Nat__Onat_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring fold_nat_nat:((nat->(nat->nat))->(list_nat->(nat->nat)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076b488>, <kernel.DependentProduct object at 0x2b19a076b5a8>) of role type named sy_c_List_Olinorder__class_Osort__key_001t__Int__Oint_001t__Int__Oint
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring linord1735203802627413978nt_int:((int->int)->(list_int->list_int))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076b1b8>, <kernel.DependentProduct object at 0x2b19a076b4d0>) of role type named sy_c_List_Olinorder__class_Osort__key_001t__Nat__Onat_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring linord738340561235409698at_nat:((nat->nat)->(list_nat->list_nat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076b5a8>, <kernel.DependentProduct object at 0x2b19a076b248>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076b488>, <kernel.DependentProduct object at 0x2b19a076b4d0>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring cons_int:(int->(list_int->list_int))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076b6c8>, <kernel.DependentProduct object at 0x2b19a076b5a8>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076b710>, <kernel.Constant object at 0x2b19a076b5a8>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring nil_int:list_int
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076b4d0>, <kernel.Constant object at 0x2b19a076b5a8>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring nil_nat:list_nat
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2b19a076b368>, <kernel.DependentProduct object at 0x2b19a076b830>) of role type named sy_c_List_Olist_Ohd_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring hd_nat:(list_nat->nat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076b7a0>, <kernel.DependentProduct object at 0x2b19a076b830>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring map_nat_nat:((nat->nat)->(list_nat->list_nat))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076b710>, <kernel.DependentProduct object at 0x2b19a076b878>) of role type named sy_c_List_Olist_Oset_001_Eo
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring set_o2:(list_o->set_o)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076b3b0>, <kernel.DependentProduct object at 0x2b19a076b248>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring set_complex2:(list_complex->set_complex)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076b4d0>, <kernel.DependentProduct object at 0x2b19a076b908>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring set_int2:(list_int->set_int)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076b830>, <kernel.DependentProduct object at 0x2b19a076b950>) of role type named sy_c_List_Olist_Oset_001t__List__Olist_It__Nat__Onat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring set_list_nat2:(list_list_nat->set_list_nat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076b878>, <kernel.DependentProduct object at 0x2b19a076b998>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring set_nat2:(list_nat->set_nat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076b248>, <kernel.DependentProduct object at 0x2b19a076b9e0>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring set_real2:(list_real->set_real)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076b908>, <kernel.DependentProduct object at 0x2b19a076ba28>) of role type named sy_c_List_Olist_Oset_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring set_set_nat2:(list_set_nat->set_set_nat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076b950>, <kernel.DependentProduct object at 0x2b19a076ba70>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076b998>, <kernel.DependentProduct object at 0x2b19a076b9e0>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076b1b8>, <kernel.DependentProduct object at 0x2b19a076b878>) of role type named sy_c_List_Olist_Otl_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring tl_nat:(list_nat->list_nat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076bab8>, <kernel.DependentProduct object at 0x2b19a076b950>) of role type named sy_c_List_Onth_001_Eo
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_o:(list_o->(nat->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076ba28>, <kernel.DependentProduct object at 0x2b19a076b9e0>) of role type named sy_c_List_Onth_001t__Code____Numeral__Ointeger
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_Code_integer:(list_Code_integer->(nat->code_integer))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076b998>, <kernel.DependentProduct object at 0x2b19a076bab8>) of role type named sy_c_List_Onth_001t__Complex__Ocomplex
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_complex:(list_complex->(nat->complex))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076b908>, <kernel.DependentProduct object at 0x2b19a076b998>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_int:(list_int->(nat->int))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076b1b8>, <kernel.DependentProduct object at 0x2b19a076ba28>) of role type named sy_c_List_Onth_001t__List__Olist_It__Nat__Onat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_list_nat:(list_list_nat->(nat->list_nat))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076bbd8>, <kernel.DependentProduct object at 0x2b19a076b1b8>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_nat:(list_nat->(nat->nat))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076bcf8>, <kernel.DependentProduct object at 0x2b19a076ba28>) of role type named sy_c_List_Onth_001t__Num__Onum
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_num:(list_num->(nat->num))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076bd40>, <kernel.DependentProduct object at 0x2b19a076bab8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_Product_prod_o_o:(list_P4002435161011370285od_o_o->(nat->product_prod_o_o))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076bbd8>, <kernel.DependentProduct object at 0x2b19a076bd40>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_Pr1649062631805364268_o_int:(list_P3795440434834930179_o_int->(nat->product_prod_o_int))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076bab8>, <kernel.DependentProduct object at 0x2b19a076bbd8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_Pr5826913651314560976_o_nat:(list_P6285523579766656935_o_nat->(nat->product_prod_o_nat))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076bd40>, <kernel.DependentProduct object at 0x2b19a076bab8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_Pr6777367263587873994T_VEBT:(list_P7495141550334521929T_VEBT->(nat->produc2504756804600209347T_VEBT))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076bbd8>, <kernel.DependentProduct object at 0x2b19a076bd40>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_Pr8522763379788166057eger_o:(list_P8526636022914148096eger_o->(nat->produc6271795597528267376eger_o))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076bab8>, <kernel.DependentProduct object at 0x2b19a076bbd8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_Pr6456567536196504476um_num:(list_P3744719386663036955um_num->(nat->product_prod_num_num))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076bd40>, <kernel.DependentProduct object at 0x2b19a0770098>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076bbd8>, <kernel.DependentProduct object at 0x2b19a0770128>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_Pr6837108013167703752BT_int:(list_P4547456442757143711BT_int->(nat->produc4894624898956917775BT_int))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076bbd8>, <kernel.DependentProduct object at 0x2b19a07701b8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_Pr1791586995822124652BT_nat:(list_P7037539587688870467BT_nat->(nat->produc9072475918466114483BT_nat))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076bcf8>, <kernel.DependentProduct object at 0x2b19a0770248>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076bea8>, <kernel.DependentProduct object at 0x2b19a0770290>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_real:(list_real->(nat->real))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076bbd8>, <kernel.DependentProduct object at 0x2b19a0770320>) of role type named sy_c_List_Onth_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_set_nat:(list_set_nat->(nat->set_nat))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2b19a076bbd8>, <kernel.DependentProduct object at 0x2b19a0770050>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a07702d8>, <kernel.DependentProduct object at 0x2b19a0770200>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770440>, <kernel.DependentProduct object at 0x2b19a07703b0>) of role type named sy_c_List_Oproduct_001_Eo_001t__Int__Oint
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring product_o_int:(list_o->(list_int->list_P3795440434834930179_o_int))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770488>, <kernel.DependentProduct object at 0x2b19a0770050>) of role type named sy_c_List_Oproduct_001_Eo_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring product_o_nat:(list_o->(list_nat->list_P6285523579766656935_o_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770320>, <kernel.DependentProduct object at 0x2b19a0770440>) of role type named sy_c_List_Oproduct_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring product_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770488>, <kernel.DependentProduct object at 0x2b19a0770320>) of role type named sy_c_List_Oproduct_001t__Code____Numeral__Ointeger_001_Eo
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring produc3607205314601156340eger_o:(list_Code_integer->(list_o->list_P8526636022914148096eger_o))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a07704d0>, <kernel.DependentProduct object at 0x2b19a0770440>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001_Eo
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring product_nat_o:(list_nat->(list_o->list_P7333126701944960589_nat_o))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770488>, <kernel.DependentProduct object at 0x2b19a07704d0>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring produc7156399406898700509T_VEBT:(list_nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770518>, <kernel.DependentProduct object at 0x2b19a0770440>) of role type named sy_c_List_Oproduct_001t__Num__Onum_001t__Num__Onum
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring product_num_num:(list_num->(list_num->list_P3744719386663036955um_num))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770680>, <kernel.DependentProduct object at 0x2b19a0770488>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770518>, <kernel.DependentProduct object at 0x2b19a0770680>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring produc7292646706713671643BT_int:(list_VEBT_VEBT->(list_int->list_P4547456442757143711BT_int))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770488>, <kernel.DependentProduct object at 0x2b19a0770518>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring produc7295137177222721919BT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770680>, <kernel.DependentProduct object at 0x2b19a0770488>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770368>, <kernel.DependentProduct object at 0x2b19a07708c0>) of role type named sy_c_List_Oremdups_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring remdups_nat:(list_nat->list_nat)
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a07706c8>, <kernel.DependentProduct object at 0x2b19a0770680>) of role type named sy_c_List_Oreplicate_001_Eo
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring replicate_o:(nat->(Prop->list_o))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770710>, <kernel.DependentProduct object at 0x2b19a0770488>) of role type named sy_c_List_Oreplicate_001t__Complex__Ocomplex
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring replicate_complex:(nat->(complex->list_complex))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770518>, <kernel.DependentProduct object at 0x2b19a07706c8>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring replicate_int:(nat->(int->list_int))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770950>, <kernel.DependentProduct object at 0x2b19a0770710>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a07707a0>, <kernel.DependentProduct object at 0x2b19a0770518>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring replicate_real:(nat->(real->list_real))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770368>, <kernel.DependentProduct object at 0x2b19a0770950>) of role type named sy_c_List_Oreplicate_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring replicate_set_nat:(nat->(set_nat->list_set_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770680>, <kernel.DependentProduct object at 0x2b19a07707a0>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770488>, <kernel.DependentProduct object at 0x2b19a07708c0>) of role type named sy_c_List_Osorted__wrt_001t__Int__Oint
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring sorted_wrt_int:((int->(int->Prop))->(list_int->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a07707a0>, <kernel.DependentProduct object at 0x2b19a0770b00>) of role type named sy_c_List_Osorted__wrt_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring sorted_wrt_nat:((nat->(nat->Prop))->(list_nat->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770830>, <kernel.DependentProduct object at 0x2b19a07707a0>) of role type named sy_c_List_Otake_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring take_nat:(nat->(list_nat->list_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770b90>, <kernel.DependentProduct object at 0x2b19a0770488>) of role type named sy_c_List_Oupt
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring upt:(nat->(nat->list_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770c20>, <kernel.DependentProduct object at 0x2b19a0770b00>) of role type named sy_c_List_Oupto
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring upto:(int->(int->list_int))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770bd8>, <kernel.DependentProduct object at 0x2b19a0770b90>) of role type named sy_c_List_Oupto__aux
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a07706c8>, <kernel.DependentProduct object at 0x2b19a0770c20>) of role type named sy_c_List_Oupto__rel
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring upto_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770cb0>, <kernel.DependentProduct object at 0x2b19a07707a0>) of role type named sy_c_Nat_OSuc
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring suc:(nat->nat)
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770b00>, <kernel.DependentProduct object at 0x2b19a0770d88>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a07708c0>, <kernel.DependentProduct object at 0x2b19a0770e18>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a07706c8>, <kernel.DependentProduct object at 0x2b19a0770dd0>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2b19a0770cf8>, <kernel.DependentProduct object at 0x2b19a0770e60>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Option__Ooption_It__Num__Onum_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring case_nat_option_num:(option_num->((nat->option_num)->(nat->option_num)))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2b19a0770ea8>, <kernel.DependentProduct object at 0x2b19a0770d88>) of role type named sy_c_Nat_Onat_Opred
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring pred:(nat->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2b19a07708c0>, <kernel.Constant object at 0x2b19a0770d88>) of role type named sy_c_Nat_Osemiring__1__class_ONats_001t__Int__Oint
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiring_1_Nats_int:set_int
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2b19a0770ea8>, <kernel.DependentProduct object at 0x2b19a0770830>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2b19a0770d88>, <kernel.DependentProduct object at 0x2b19a0770f38>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2b19a0770830>, <kernel.DependentProduct object at 0x2b19a0770fc8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2b19a0770f38>, <kernel.DependentProduct object at 0x175e098>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2b19a0770fc8>, <kernel.DependentProduct object at 0x175e128>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2b19a0770fc8>, <kernel.DependentProduct object at 0x175e1b8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2b19a0770830>, <kernel.DependentProduct object at 0x175e098>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Complex__Ocomplex
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri2816024913162550771omplex:((complex->complex)->(nat->(complex->complex)))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175e248>, <kernel.DependentProduct object at 0x175e290>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Int__Oint
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri8420488043553186161ux_int:((int->int)->(nat->(int->int)))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175e320>, <kernel.DependentProduct object at 0x175e050>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri8422978514062236437ux_nat:((nat->nat)->(nat->(nat->nat)))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175e368>, <kernel.DependentProduct object at 0x175e248>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Rat__Orat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri7787848453975740701ux_rat:((rat->rat)->(nat->(rat->rat)))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175e3b0>, <kernel.DependentProduct object at 0x175e440>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri7260567687927622513x_real:((real->real)->(nat->(real->real)))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175e4d0>, <kernel.DependentProduct object at 0x175e5a8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_size_list_o:(list_o->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175e3b0>, <kernel.DependentProduct object at 0x175e560>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s3445333598471063425nteger:(list_Code_integer->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175e5a8>, <kernel.DependentProduct object at 0x175e5f0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175e128>, <kernel.DependentProduct object at 0x175e680>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_size_list_int:(list_int->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175e5a8>, <kernel.DependentProduct object at 0x175e6c8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__List__Olist_It__Nat__Onat_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s3023201423986296836st_nat:(list_list_nat->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175e368>, <kernel.DependentProduct object at 0x175e758>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_size_list_nat:(list_nat->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175e5f0>, <kernel.DependentProduct object at 0x175e7a0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Num__Onum_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_size_list_num:(list_num->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175e368>, <kernel.DependentProduct object at 0x175e7e8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s1515746228057227161od_o_o:(list_P4002435161011370285od_o_o->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175e7a0>, <kernel.DependentProduct object at 0x175e878>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s2953683556165314199_o_int:(list_P3795440434834930179_o_int->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175e7e8>, <kernel.DependentProduct object at 0x175e908>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s5443766701097040955_o_nat:(list_P6285523579766656935_o_nat->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175e878>, <kernel.DependentProduct object at 0x175e998>) 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
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s4313452262239582901T_VEBT:(list_P7495141550334521929T_VEBT->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175e908>, <kernel.DependentProduct object at 0x175ea28>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s6491369823275344609_nat_o:(list_P7333126701944960589_nat_o->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175e998>, <kernel.DependentProduct object at 0x175eab8>) 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
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s4762443039079500285T_VEBT:(list_P5647936690300460905T_VEBT->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175ea28>, <kernel.DependentProduct object at 0x175eb48>) 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
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s9168528473962070013VEBT_o:(list_P3126845725202233233VEBT_o->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175eab8>, <kernel.DependentProduct object at 0x175ebd8>) 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
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s3661962791536183091BT_int:(list_P4547456442757143711BT_int->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175eb48>, <kernel.DependentProduct object at 0x175ec68>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s6152045936467909847BT_nat:(list_P7037539587688870467BT_nat->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x175ebd8>, <kernel.DependentProduct object at 0x175ecf8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring size_s7466405169056248089T_VEBT:(list_P7413028617227757229T_VEBT->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x175ec20>, <kernel.DependentProduct object at 0x175ed88>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring size_size_list_real:(list_real->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x175ebd8>, <kernel.DependentProduct object at 0x175edd0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring size_s3254054031482475050et_nat:(list_set_nat->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x175ed88>, <kernel.DependentProduct object at 0x175ee60>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x175eab8>, <kernel.DependentProduct object at 0x175eef0>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring size_size_num:(num->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x175ec68>, <kernel.DependentProduct object at 0x175ef38>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring size_size_option_num:(option_num->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x175eab8>, <kernel.DependentProduct object at 0x175ef80>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x175eef0>, <kernel.DependentProduct object at 0x1746050>) of role type named sy_c_Nat_Osize__class_Osize_001t__String__Ochar
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring size_size_char:(char->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x175edd0>, <kernel.DependentProduct object at 0x1746098>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x175e3f8>, <kernel.DependentProduct object at 0x1746128>) of role type named sy_c_Nat__Bijection_Olist__encode
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring nat_list_encode:(list_nat->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x175eab8>, <kernel.DependentProduct object at 0x1746098>) of role type named sy_c_Nat__Bijection_Olist__encode__rel
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring nat_list_encode_rel:(list_nat->(list_nat->Prop))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x175ed88>, <kernel.DependentProduct object at 0x1746170>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x175ed88>, <kernel.DependentProduct object at 0x1746200>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x175efc8>, <kernel.DependentProduct object at 0x1746290>) of role type named sy_c_Nat__Bijection_Oprod__encode
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring nat_prod_encode:(product_prod_nat_nat->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x175e3f8>, <kernel.DependentProduct object at 0x17462d8>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring nat_set_decode:(nat->set_nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x175e3f8>, <kernel.DependentProduct object at 0x1746320>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring nat_set_encode:(set_nat->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746200>, <kernel.DependentProduct object at 0x1746368>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring nat_triangle:(nat->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746290>, <kernel.DependentProduct object at 0x1746248>) of role type named sy_c_NthRoot_Oroot
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring root:(nat->(real->real))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746098>, <kernel.DependentProduct object at 0x17463b0>) of role type named sy_c_NthRoot_Osqrt
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring sqrt:(real->real)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x17462d8>, <kernel.DependentProduct object at 0x1746368>) of role type named sy_c_Num_OBitM
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring bitM:(num->num)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746200>, <kernel.DependentProduct object at 0x1746440>) of role type named sy_c_Num_Oinc
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring inc:(num->num)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x17462d8>, <kernel.DependentProduct object at 0x1746488>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746440>, <kernel.DependentProduct object at 0x1746518>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746248>, <kernel.DependentProduct object at 0x17465a8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_numeral_dbl_int:(int->int)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746098>, <kernel.DependentProduct object at 0x17465f0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x17464d0>, <kernel.DependentProduct object at 0x1746638>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_numeral_dbl_real:(real->real)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746098>, <kernel.DependentProduct object at 0x1746680>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746638>, <kernel.DependentProduct object at 0x1746710>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746680>, <kernel.DependentProduct object at 0x17467a0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746710>, <kernel.DependentProduct object at 0x1746830>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x17467a0>, <kernel.DependentProduct object at 0x17468c0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746830>, <kernel.DependentProduct object at 0x1746950>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Code____Numeral__Ointeger
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu5831290666863070958nteger:(code_integer->code_integer)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x17468c0>, <kernel.DependentProduct object at 0x17469e0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Complex__Ocomplex
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu8557863876264182079omplex:(complex->complex)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746950>, <kernel.DependentProduct object at 0x1746a70>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Int__Oint
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu5851722552734809277nc_int:(int->int)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x17469e0>, <kernel.DependentProduct object at 0x1746b00>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Rat__Orat
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu5219082963157363817nc_rat:(rat->rat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746a70>, <kernel.DependentProduct object at 0x1746b90>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Real__Oreal
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu8295874005876285629c_real:(real->real)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746518>, <kernel.DependentProduct object at 0x1746b00>) of role type named sy_c_Num_Oneg__numeral__class_Osub_001t__Int__Oint
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_numeral_sub_int:(num->(num->int))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746c20>, <kernel.DependentProduct object at 0x1746c68>) of role type named sy_c_Num_Onum_OBit0
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring bit0:(num->num)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746b48>, <kernel.DependentProduct object at 0x1746ab8>) of role type named sy_c_Num_Onum_OBit1
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring bit1:(num->num)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746b90>, <kernel.Constant object at 0x1746ab8>) of role type named sy_c_Num_Onum_OOne
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring one:num
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746c68>, <kernel.DependentProduct object at 0x1746dd0>) of role type named sy_c_Num_Onum_Ocase__num_001t__Option__Ooption_It__Num__Onum_J
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring case_num_option_num:(option_num->((num->option_num)->((num->option_num)->(num->option_num))))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746d88>, <kernel.DependentProduct object at 0x1746d40>) of role type named sy_c_Num_Onum_Osize__num
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring size_num:(num->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746a70>, <kernel.DependentProduct object at 0x1746b48>) of role type named sy_c_Num_Onum__of__nat
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring num_of_nat:(nat->num)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746d88>, <kernel.DependentProduct object at 0x1746518>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746b48>, <kernel.DependentProduct object at 0x1746ea8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring numera6690914467698888265omplex:(num->complex)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746518>, <kernel.DependentProduct object at 0x1746f38>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746ab8>, <kernel.DependentProduct object at 0x1746fc8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring numeral_numeral_int:(num->int)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746ef0>, <kernel.DependentProduct object at 0x1747050>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring numeral_numeral_nat:(num->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746b00>, <kernel.DependentProduct object at 0x1747098>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring numeral_numeral_rat:(num->rat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746fc8>, <kernel.DependentProduct object at 0x17470e0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring numeral_numeral_real:(num->real)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746f38>, <kernel.DependentProduct object at 0x1746ef0>) of role type named sy_c_Num_Opow
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring pow:(num->(num->num))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746b00>, <kernel.DependentProduct object at 0x1747050>) of role type named sy_c_Num_Opred__numeral
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring pred_numeral:(num->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746f38>, <kernel.DependentProduct object at 0x1747170>) of role type named sy_c_Num_Osqr
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring sqr:(num->num)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1746ef0>, <kernel.Constant object at 0x1747050>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring none_num:option_num
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x17470e0>, <kernel.Constant object at 0x1747128>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1746ef0>, <kernel.DependentProduct object at 0x17472d8>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring some_num:(num->option_num)
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747170>, <kernel.DependentProduct object at 0x17470e0>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x17472d8>, <kernel.DependentProduct object at 0x1747290>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x17473f8>, <kernel.DependentProduct object at 0x17474d0>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Int__Oint_001t__Num__Onum
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring case_option_int_num:(int->((num->int)->(option_num->int)))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747488>, <kernel.DependentProduct object at 0x1747518>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x17473f8>, <kernel.DependentProduct object at 0x1747320>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x17475a8>, <kernel.DependentProduct object at 0x17473b0>) of role type named sy_c_Option_Ooption_Omap__option_001t__Num__Onum_001t__Num__Onum
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring map_option_num_num:((num->num)->(option_num->option_num))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747518>, <kernel.DependentProduct object at 0x1747560>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x17475a8>, <kernel.DependentProduct object at 0x17475f0>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747560>, <kernel.Constant object at 0x1747098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Extended____Nat__Oenat
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring bot_bo4199563552545308370d_enat:extended_enat
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747638>, <kernel.Constant object at 0x1747098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring bot_bot_nat:nat
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747320>, <kernel.Constant object at 0x1747098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring bot_bot_set_int:set_int
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x17473b0>, <kernel.Constant object at 0x1747098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring bot_bot_set_nat:set_nat
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x17476c8>, <kernel.DependentProduct object at 0x1747830>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring ord_less_complex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747098>, <kernel.DependentProduct object at 0x1747878>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Int__Oint_M_Eo_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring ord_less_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747830>, <kernel.DependentProduct object at 0x17478c0>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Nat__Onat_M_Eo_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring ord_less_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747878>, <kernel.DependentProduct object at 0x1747908>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Real__Oreal_M_Eo_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring ord_less_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x17478c0>, <kernel.DependentProduct object at 0x1747950>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring ord_less_set_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747878>, <kernel.DependentProduct object at 0x17478c0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747950>, <kernel.DependentProduct object at 0x1747878>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747998>, <kernel.DependentProduct object at 0x17478c0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring ord_less_int:(int->(int->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747a28>, <kernel.DependentProduct object at 0x1747950>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747908>, <kernel.DependentProduct object at 0x1747998>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring ord_less_num:(num->(num->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747320>, <kernel.DependentProduct object at 0x1747a28>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747878>, <kernel.DependentProduct object at 0x1747908>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring ord_less_real:(real->(real->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747320>, <kernel.DependentProduct object at 0x1747878>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring ord_le1307284697595431911nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747950>, <kernel.DependentProduct object at 0x1747908>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747c20>, <kernel.DependentProduct object at 0x1747320>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x1747a28>, <kernel.DependentProduct object at 0x1747950>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x17478c0>, <kernel.DependentProduct object at 0x1747c20>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.59/0.82 Using role type
% 0.65/0.83 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x1747878>, <kernel.DependentProduct object at 0x1747a28>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x1747908>, <kernel.DependentProduct object at 0x17478c0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x1747320>, <kernel.DependentProduct object at 0x1747878>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_less_set_set_nat:(set_set_nat->(set_set_nat->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x1747908>, <kernel.DependentProduct object at 0x1747320>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x1747878>, <kernel.DependentProduct object at 0x1747908>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x1747320>, <kernel.DependentProduct object at 0x1747878>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_le2510731241096832064er_nat:(filter_nat->(filter_nat->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x1747f38>, <kernel.DependentProduct object at 0x1747908>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x1747fc8>, <kernel.DependentProduct object at 0x174a098>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x1747c20>, <kernel.DependentProduct object at 0x174a0e0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x1747878>, <kernel.DependentProduct object at 0x174a128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x1747908>, <kernel.DependentProduct object at 0x174a170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x1747908>, <kernel.DependentProduct object at 0x174a1b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_le7084787975880047091nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x1747ea8>, <kernel.DependentProduct object at 0x174a050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x1747908>, <kernel.DependentProduct object at 0x174a1b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x1747ea8>, <kernel.DependentProduct object at 0x174a290>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x1747ea8>, <kernel.DependentProduct object at 0x174a248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Num__Onum_J
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_less_eq_set_num:(set_num->(set_num->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x174a170>, <kernel.DependentProduct object at 0x174a0e0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Rat__Orat_J
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_less_eq_set_rat:(set_rat->(set_rat->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x174a050>, <kernel.DependentProduct object at 0x174a200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x174a170>, <kernel.DependentProduct object at 0x174a050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_le6893508408891458716et_nat:(set_set_nat->(set_set_nat->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x174a200>, <kernel.DependentProduct object at 0x174a170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x174a050>, <kernel.DependentProduct object at 0x174a200>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Extended____Nat__Oenat
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_ma741700101516333627d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x174a560>, <kernel.DependentProduct object at 0x174a170>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_max_int:(int->(int->int))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x174a488>, <kernel.DependentProduct object at 0x174a050>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_max_nat:(nat->(nat->nat))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x174a560>, <kernel.DependentProduct object at 0x174a488>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Extended____Nat__Oenat
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_mi8085742599997312461d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x174a290>, <kernel.DependentProduct object at 0x174a050>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Int__Oint
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_min_int:(int->(int->int))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x174a638>, <kernel.DependentProduct object at 0x174a560>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Nat__Onat
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ord_min_nat:(nat->(nat->nat))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x174a758>, <kernel.DependentProduct object at 0x174a170>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Nat__Onat
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring order_Greatest_nat:((nat->Prop)->nat)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x174a488>, <kernel.DependentProduct object at 0x174a290>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x174a758>, <kernel.DependentProduct object at 0x174a638>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Nat__Onat
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring order_5726023648592871131at_nat:((nat->nat)->Prop)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x174a290>, <kernel.DependentProduct object at 0x174a878>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Real__Oreal_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring order_7092887310737990675l_real:((real->real)->Prop)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x174a050>, <kernel.Constant object at 0x174a878>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_Eo_J
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring top_top_set_o:set_o
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x174a5f0>, <kernel.Constant object at 0x174a878>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Int__Oint_J
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring top_top_set_int:set_int
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174a758>, <kernel.Constant object at 0x174a878>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring top_top_set_nat:set_nat
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174a5f0>, <kernel.Constant object at 0x174a7e8>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Ounit_J
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring top_to1996260823553986621t_unit:set_Product_unit
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174a950>, <kernel.Constant object at 0x174a7e8>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring top_top_set_real:set_real
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174a9e0>, <kernel.Constant object at 0x174a7e8>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring top_top_set_char:set_char
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174a950>, <kernel.DependentProduct object at 0x174a9e0>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174ab48>, <kernel.DependentProduct object at 0x174a7e8>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring power_power_complex:(complex->(nat->complex))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174aa28>, <kernel.DependentProduct object at 0x174a950>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring power_power_int:(int->(nat->int))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174ac20>, <kernel.DependentProduct object at 0x174ab48>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring power_power_nat:(nat->(nat->nat))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174aa70>, <kernel.DependentProduct object at 0x174aa28>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring power_power_rat:(rat->(nat->rat))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174aab8>, <kernel.DependentProduct object at 0x174ac20>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring power_power_real:(real->(nat->real))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174a9e0>, <kernel.DependentProduct object at 0x174ad88>) of role type named sy_c_Product__Type_OPair_001_Eo_001_Eo
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring product_Pair_o_o:(Prop->(Prop->product_prod_o_o))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174abd8>, <kernel.DependentProduct object at 0x174ad88>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Int__Oint
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring product_Pair_o_int:(Prop->(int->product_prod_o_int))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174ac20>, <kernel.DependentProduct object at 0x174ad88>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Nat__Onat
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring product_Pair_o_nat:(Prop->(nat->product_prod_o_nat))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174abd8>, <kernel.DependentProduct object at 0x174ab48>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc2982872950893828659T_VEBT:(Prop->(vEBT_VEBT->produc2504756804600209347T_VEBT))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174ad88>, <kernel.DependentProduct object at 0x174aef0>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174ab48>, <kernel.DependentProduct object at 0x174ad88>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174af80>, <kernel.DependentProduct object at 0x174aef0>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174af38>, <kernel.DependentProduct object at 0x174ab48>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174aef0>, <kernel.DependentProduct object at 0x174ad88>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Num__Onum
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring product_Pair_nat_num:(nat->(num->product_prod_nat_num))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174ab48>, <kernel.DependentProduct object at 0x174aea8>) of role type named sy_c_Product__Type_OPair_001t__Num__Onum_001t__Num__Onum
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring product_Pair_num_num:(num->(num->product_prod_num_num))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174aef0>, <kernel.DependentProduct object at 0x174d050>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174aef0>, <kernel.DependentProduct object at 0x174d170>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc736041933913180425BT_int:(vEBT_VEBT->(int->produc4894624898956917775BT_int))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174abd8>, <kernel.DependentProduct object at 0x174d248>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174d200>, <kernel.DependentProduct object at 0x174d2d8>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174d320>, <kernel.DependentProduct object at 0x174d3f8>) of role type named sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Nat__Onat
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc457027306803732586at_nat:(set_nat->((nat->set_nat)->set_Pr1261947904930325089at_nat))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174d248>, <kernel.DependentProduct object at 0x174d1b8>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174d3b0>, <kernel.DependentProduct object at 0x174d1b8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174d248>, <kernel.DependentProduct object at 0x174d488>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174d1b8>, <kernel.DependentProduct object at 0x174d290>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc7336495610019696514er_num:((code_integer->(code_integer->num))->(produc8923325533196201883nteger->num))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x174d488>, <kernel.DependentProduct object at 0x174d440>) 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
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174d290>, <kernel.DependentProduct object at 0x174d320>) 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
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174d440>, <kernel.DependentProduct object at 0x174d4d0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174d320>, <kernel.DependentProduct object at 0x174d7e8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring produc8211389475949308722nt_int:((int->(int->int))->(product_prod_int_int->int))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174d4d0>, <kernel.DependentProduct object at 0x174d7a0>) 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
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174d7e8>, <kernel.DependentProduct object at 0x174d950>) 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
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring produc8739625826339149834_nat_o:((nat->(nat->(product_prod_nat_nat->Prop)))->(product_prod_nat_nat->(product_prod_nat_nat->Prop)))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174d7a0>, <kernel.DependentProduct object at 0x174d9e0>) 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
% 0.65/0.85 Using role type
% 0.65/0.85 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)))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174d950>, <kernel.DependentProduct object at 0x174d6c8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174d9e0>, <kernel.DependentProduct object at 0x174d680>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring produc6842872674320459806at_nat:((nat->(nat->nat))->(product_prod_nat_nat->nat))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174d6c8>, <kernel.DependentProduct object at 0x174da70>) 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
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174d680>, <kernel.DependentProduct object at 0x174db00>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Option__Ooption_It__Num__Onum_J
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring produc478579273971653890on_num:((nat->(num->option_num))->(product_prod_nat_num->option_num))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174da70>, <kernel.DependentProduct object at 0x174db90>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring produc8508995932063986495nteger:(produc8923325533196201883nteger->code_integer)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174dab8>, <kernel.DependentProduct object at 0x174dcf8>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174dbd8>, <kernel.DependentProduct object at 0x174dd40>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174dc20>, <kernel.DependentProduct object at 0x174dd88>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174db90>, <kernel.DependentProduct object at 0x174ddd0>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174dcf8>, <kernel.DependentProduct object at 0x174de18>) of role type named sy_c_Rat_OAbs__Rat
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring abs_Rat:(product_prod_int_int->rat)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174dd40>, <kernel.DependentProduct object at 0x174db90>) of role type named sy_c_Rat_OFract
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring fract:(int->(int->rat))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174de60>, <kernel.DependentProduct object at 0x174dea8>) of role type named sy_c_Rat_OFrct
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring frct:(product_prod_int_int->rat)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174ddd0>, <kernel.DependentProduct object at 0x174dd88>) of role type named sy_c_Rat_ORep__Rat
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring rep_Rat:(rat->product_prod_int_int)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174de60>, <kernel.Constant object at 0x174db90>) of role type named sy_c_Rat_Ofield__char__0__class_ORats_001t__Real__Oreal
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring field_5140801741446780682s_real:set_real
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174dd88>, <kernel.DependentProduct object at 0x174dfc8>) of role type named sy_c_Rat_Ofield__char__0__class_Oof__rat_001t__Real__Oreal
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring field_7254667332652039916t_real:(rat->real)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174dea8>, <kernel.DependentProduct object at 0x174f098>) of role type named sy_c_Rat_Onormalize
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174dd40>, <kernel.DependentProduct object at 0x174f0e0>) of role type named sy_c_Rat_Oof__int
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring of_int:(int->rat)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174dfc8>, <kernel.DependentProduct object at 0x174f050>) of role type named sy_c_Rat_Opcr__rat
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring pcr_rat:(product_prod_int_int->(rat->Prop))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174dd88>, <kernel.DependentProduct object at 0x174f170>) of role type named sy_c_Rat_Opositive
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring positive:(rat->Prop)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174dd40>, <kernel.DependentProduct object at 0x174f1b8>) of role type named sy_c_Rat_Oquotient__of
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring quotient_of:(rat->product_prod_int_int)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174dfc8>, <kernel.DependentProduct object at 0x174f128>) of role type named sy_c_Rat_Oratrel
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring ratrel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174dd40>, <kernel.DependentProduct object at 0x174f098>) of role type named sy_c_Real_Opcr__real
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring pcr_real:((nat->rat)->(real->Prop))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174dfc8>, <kernel.DependentProduct object at 0x174f290>) of role type named sy_c_Real_Opositive
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring positive2:(real->Prop)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174dfc8>, <kernel.DependentProduct object at 0x174f170>) of role type named sy_c_Real_Ovanishes
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring vanishes:((nat->rat)->Prop)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174f128>, <kernel.Constant object at 0x174f098>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Complex__Ocomplex
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring real_V2521375963428798218omplex:set_complex
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174f170>, <kernel.DependentProduct object at 0x174f3b0>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174f098>, <kernel.DependentProduct object at 0x174f440>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring real_V7735802525324610683m_real:(real->real)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174f3b0>, <kernel.DependentProduct object at 0x174f4d0>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174f440>, <kernel.DependentProduct object at 0x174f560>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Real__Oreal
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring real_V1803761363581548252l_real:(real->real)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174f4d0>, <kernel.DependentProduct object at 0x174f440>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Complex__Ocomplex
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring real_V2046097035970521341omplex:(real->(complex->complex))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174f560>, <kernel.DependentProduct object at 0x174f4d0>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Real__Oreal
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring real_V1485227260804924795R_real:(real->(real->real))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174f440>, <kernel.DependentProduct object at 0x174f560>) of role type named sy_c_Rings_Oalgebraic__semidom__class_Ocoprime_001t__Int__Oint
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring algebr932160517623751201me_int:(int->(int->Prop))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174f4d0>, <kernel.DependentProduct object at 0x174f440>) of role type named sy_c_Rings_Oalgebraic__semidom__class_Ocoprime_001t__Nat__Onat
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring algebr934650988132801477me_nat:(nat->(nat->Prop))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174f560>, <kernel.DependentProduct object at 0x174f4d0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174f440>, <kernel.DependentProduct object at 0x174f560>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174f758>, <kernel.DependentProduct object at 0x174f4d0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring divide_divide_int:(int->(int->int))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174f830>, <kernel.DependentProduct object at 0x174f440>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174f998>, <kernel.DependentProduct object at 0x174f758>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x174f7e8>, <kernel.DependentProduct object at 0x174f830>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring divide_divide_real:(real->(real->real))
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174f8c0>, <kernel.DependentProduct object at 0x174f998>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174f950>, <kernel.DependentProduct object at 0x174f7e8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174f440>, <kernel.DependentProduct object at 0x174f8c0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174f758>, <kernel.DependentProduct object at 0x174f950>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174f830>, <kernel.DependentProduct object at 0x174f440>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174f998>, <kernel.DependentProduct object at 0x174f758>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174f830>, <kernel.DependentProduct object at 0x174f998>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174f560>, <kernel.DependentProduct object at 0x174f758>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring modulo_modulo_int:(int->(int->int))
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174f7e8>, <kernel.DependentProduct object at 0x174f830>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174f560>, <kernel.DependentProduct object at 0x174fd88>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174f830>, <kernel.DependentProduct object at 0x174f8c0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174fd88>, <kernel.DependentProduct object at 0x174fe18>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174f8c0>, <kernel.DependentProduct object at 0x174fea8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174fe18>, <kernel.DependentProduct object at 0x174ff38>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174fea8>, <kernel.DependentProduct object at 0x174ffc8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174fe18>, <kernel.DependentProduct object at 0x1761098>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring suminf_complex:((nat->complex)->complex)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174f0e0>, <kernel.DependentProduct object at 0x1761128>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring suminf_int:((nat->int)->int)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174ffc8>, <kernel.DependentProduct object at 0x17610e0>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring suminf_nat:((nat->nat)->nat)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174fe18>, <kernel.DependentProduct object at 0x1761098>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring suminf_real:((nat->real)->real)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174f8c0>, <kernel.DependentProduct object at 0x17611b8>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring summable_complex:((nat->complex)->Prop)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174fe18>, <kernel.DependentProduct object at 0x1761170>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring summable_int:((nat->int)->Prop)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174ffc8>, <kernel.DependentProduct object at 0x1761050>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring summable_nat:((nat->nat)->Prop)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x174ffc8>, <kernel.DependentProduct object at 0x17611b8>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring summable_real:((nat->real)->Prop)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x1761248>, <kernel.DependentProduct object at 0x1761290>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x17610e0>, <kernel.DependentProduct object at 0x1761320>) of role type named sy_c_Series_Osums_001t__Int__Oint
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring sums_int:((nat->int)->(int->Prop))
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x17611b8>, <kernel.DependentProduct object at 0x1761050>) of role type named sy_c_Series_Osums_001t__Nat__Onat
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring sums_nat:((nat->nat)->(nat->Prop))
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x17612d8>, <kernel.DependentProduct object at 0x17613b0>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring sums_real:((nat->real)->(real->Prop))
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x1761050>, <kernel.DependentProduct object at 0x1761488>) of role type named sy_c_Set_OCollect_001_Eo
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring collect_o:((Prop->Prop)->set_o)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x1761098>, <kernel.DependentProduct object at 0x17610e0>) of role type named sy_c_Set_OCollect_001t__Code____Numeral__Ointeger
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring collect_Code_integer:((code_integer->Prop)->set_Code_integer)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x17613b0>, <kernel.DependentProduct object at 0x17614d0>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x1761320>, <kernel.DependentProduct object at 0x1761560>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring collect_int:((int->Prop)->set_int)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x17611b8>, <kernel.DependentProduct object at 0x17613b0>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x1761290>, <kernel.DependentProduct object at 0x17615f0>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x1761560>, <kernel.DependentProduct object at 0x1761638>) of role type named sy_c_Set_OCollect_001t__Num__Onum
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring collect_num:((num->Prop)->set_num)
% 0.68/0.86 FOF formula (<kernel.Constant object at 0x17614d0>, <kernel.DependentProduct object at 0x1761290>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.68/0.86 Using role type
% 0.68/0.86 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761560>, <kernel.DependentProduct object at 0x17614d0>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring collec3392354462482085612at_nat:((product_prod_nat_nat->Prop)->set_Pr1261947904930325089at_nat)
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761050>, <kernel.DependentProduct object at 0x17617a0>) of role type named sy_c_Set_OCollect_001t__Rat__Orat
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring collect_rat:((rat->Prop)->set_rat)
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761518>, <kernel.DependentProduct object at 0x17617e8>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring collect_real:((real->Prop)->set_real)
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x17615a8>, <kernel.DependentProduct object at 0x17614d0>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring collect_set_nat:((set_nat->Prop)->set_set_nat)
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x17617e8>, <kernel.DependentProduct object at 0x1761830>) of role type named sy_c_Set_OCollect_001t__VEBT____Definitions__OVEBT
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring collect_VEBT_VEBT:((vEBT_VEBT->Prop)->set_VEBT_VEBT)
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761638>, <kernel.DependentProduct object at 0x17618c0>) of role type named sy_c_Set_OPow_001t__Nat__Onat
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring pow_nat:(set_nat->set_set_nat)
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761290>, <kernel.DependentProduct object at 0x17618c0>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x17615a8>, <kernel.DependentProduct object at 0x1761560>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Int__Oint
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring image_nat_int:((nat->int)->(set_nat->set_int))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761830>, <kernel.DependentProduct object at 0x17617e8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761290>, <kernel.DependentProduct object at 0x1761908>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring image_nat_set_nat:((nat->set_nat)->(set_nat->set_set_nat))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x17615a8>, <kernel.DependentProduct object at 0x1761710>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761830>, <kernel.DependentProduct object at 0x1761638>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761290>, <kernel.DependentProduct object at 0x17618c0>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761758>, <kernel.DependentProduct object at 0x1761290>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring insert_int:(int->(set_int->set_int))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x17615a8>, <kernel.DependentProduct object at 0x17618c0>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761830>, <kernel.DependentProduct object at 0x1761bd8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Complex__Ocomplex
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring set_fo1517530859248394432omplex:((nat->(complex->complex))->(nat->(nat->(complex->complex))))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x17615a8>, <kernel.DependentProduct object at 0x17618c0>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Int__Oint
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring set_fo2581907887559384638at_int:((nat->(int->int))->(nat->(nat->(int->int))))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761bd8>, <kernel.DependentProduct object at 0x1761560>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x17618c0>, <kernel.DependentProduct object at 0x1761758>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Rat__Orat
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring set_fo1949268297981939178at_rat:((nat->(rat->rat))->(nat->(nat->(rat->rat))))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761560>, <kernel.DependentProduct object at 0x1761cb0>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Real__Oreal
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring set_fo3111899725591712190t_real:((nat->(real->real))->(nat->(nat->(real->real))))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761758>, <kernel.DependentProduct object at 0x1761560>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761cb0>, <kernel.DependentProduct object at 0x1761758>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761560>, <kernel.DependentProduct object at 0x1761cb0>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761758>, <kernel.DependentProduct object at 0x1761560>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761cb0>, <kernel.DependentProduct object at 0x17617e8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761560>, <kernel.DependentProduct object at 0x1761ea8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Nat__Onat_J
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring set_or4548717258645045905et_nat:(set_nat->(set_nat->set_set_nat))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761560>, <kernel.DependentProduct object at 0x1764098>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761560>, <kernel.DependentProduct object at 0x1764200>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761fc8>, <kernel.DependentProduct object at 0x1764128>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761560>, <kernel.DependentProduct object at 0x1764320>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Real__Oreal
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring set_ord_atLeast_real:(real->set_real)
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761cb0>, <kernel.DependentProduct object at 0x1764368>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Int__Oint
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring set_ord_atMost_int:(int->set_int)
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1761cb0>, <kernel.DependentProduct object at 0x17643b0>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.68/0.87 Using role type
% 0.68/0.87 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.68/0.87 FOF formula (<kernel.Constant object at 0x1764098>, <kernel.DependentProduct object at 0x17643f8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Num__Onum
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring set_ord_atMost_num:(num->set_num)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764320>, <kernel.DependentProduct object at 0x1764440>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Rat__Orat
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring set_ord_atMost_rat:(rat->set_rat)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764368>, <kernel.DependentProduct object at 0x1764488>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Real__Oreal
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring set_ord_atMost_real:(real->set_real)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764320>, <kernel.DependentProduct object at 0x17644d0>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Set__Oset_It__Nat__Onat_J
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring set_or4236626031148496127et_nat:(set_nat->set_set_nat)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764488>, <kernel.DependentProduct object at 0x1764320>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x17644d0>, <kernel.DependentProduct object at 0x1764488>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764320>, <kernel.DependentProduct object at 0x17644d0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764488>, <kernel.DependentProduct object at 0x1764320>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x17644d0>, <kernel.DependentProduct object at 0x1764488>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764320>, <kernel.DependentProduct object at 0x17643b0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764488>, <kernel.DependentProduct object at 0x17648c0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764560>, <kernel.DependentProduct object at 0x1764950>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Int__Oint
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring set_ord_lessThan_int:(int->set_int)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x17647e8>, <kernel.DependentProduct object at 0x1764998>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764878>, <kernel.DependentProduct object at 0x17649e0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Num__Onum
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring set_ord_lessThan_num:(num->set_num)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x17648c0>, <kernel.DependentProduct object at 0x1764a28>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Rat__Orat
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring set_ord_lessThan_rat:(rat->set_rat)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764878>, <kernel.DependentProduct object at 0x1764a70>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764a28>, <kernel.DependentProduct object at 0x1764b00>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Set__Oset_It__Nat__Onat_J
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring set_or890127255671739683et_nat:(set_nat->set_set_nat)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764950>, <kernel.DependentProduct object at 0x1764b90>) of role type named sy_c_String_Oascii__of
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring ascii_of:(char->char)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x17647e8>, <kernel.DependentProduct object at 0x1764bd8>) of role type named sy_c_String_Ochar_OChar
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring char2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->char))))))))
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764290>, <kernel.DependentProduct object at 0x1764cf8>) of role type named sy_c_String_Ochar_Osize__char
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring size_char:(char->nat)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764950>, <kernel.DependentProduct object at 0x17647e8>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764b48>, <kernel.DependentProduct object at 0x1764d88>) of role type named sy_c_String_Ointeger__of__char
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring integer_of_char:(char->code_integer)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764290>, <kernel.DependentProduct object at 0x1764950>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764b48>, <kernel.DependentProduct object at 0x1764e60>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764950>, <kernel.DependentProduct object at 0x1764ef0>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Real__Oreal_001t__Real__Oreal
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring topolo5044208981011980120l_real:(set_real->((real->real)->Prop))
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764e60>, <kernel.DependentProduct object at 0x1764b48>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Int__Oint
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring topolo4899668324122417113eq_int:((nat->int)->Prop)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764ef0>, <kernel.DependentProduct object at 0x1764f38>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Nat__Onat
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring topolo4902158794631467389eq_nat:((nat->nat)->Prop)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764b48>, <kernel.DependentProduct object at 0x1764fc8>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Num__Onum
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring topolo1459490580787246023eq_num:((nat->num)->Prop)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764f38>, <kernel.DependentProduct object at 0x1767050>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Rat__Orat
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring topolo4267028734544971653eq_rat:((nat->rat)->Prop)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764fc8>, <kernel.DependentProduct object at 0x17670e0>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764fc8>, <kernel.DependentProduct object at 0x17670e0>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Set__Oset_It__Nat__Onat_J
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring topolo7278393974255667507et_nat:((nat->set_nat)->Prop)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764cb0>, <kernel.DependentProduct object at 0x1767248>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x17670e0>, <kernel.DependentProduct object at 0x1767200>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1767290>, <kernel.DependentProduct object at 0x1767200>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1764cb0>, <kernel.DependentProduct object at 0x1767440>) of role type named sy_c_Transcendental_Oarccos
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring arccos:(real->real)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1767200>, <kernel.DependentProduct object at 0x1767488>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring arcosh_real:(real->real)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1767050>, <kernel.DependentProduct object at 0x17674d0>) of role type named sy_c_Transcendental_Oarcsin
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring arcsin:(real->real)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1767290>, <kernel.DependentProduct object at 0x1767518>) of role type named sy_c_Transcendental_Oarctan
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring arctan:(real->real)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1767440>, <kernel.DependentProduct object at 0x1767560>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring arsinh_real:(real->real)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1767488>, <kernel.DependentProduct object at 0x17675a8>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring artanh_real:(real->real)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x17674d0>, <kernel.DependentProduct object at 0x17675f0>) of role type named sy_c_Transcendental_Ocos_001t__Complex__Ocomplex
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring cos_complex:(complex->complex)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1767518>, <kernel.DependentProduct object at 0x1767638>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring cos_real:(real->real)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x17673b0>, <kernel.DependentProduct object at 0x17676c8>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring cos_coeff:(nat->real)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x17675f0>, <kernel.DependentProduct object at 0x1767518>) of role type named sy_c_Transcendental_Ocosh_001t__Complex__Ocomplex
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring cosh_complex:(complex->complex)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x17676c8>, <kernel.DependentProduct object at 0x1767710>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring cosh_real:(real->real)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1767440>, <kernel.DependentProduct object at 0x1767758>) of role type named sy_c_Transcendental_Ocot_001t__Complex__Ocomplex
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring cot_complex:(complex->complex)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x17673b0>, <kernel.DependentProduct object at 0x17677a0>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring cot_real:(real->real)
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1767518>, <kernel.DependentProduct object at 0x1767710>) of role type named sy_c_Transcendental_Odiffs_001t__Complex__Ocomplex
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring diffs_complex:((nat->complex)->(nat->complex))
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1767440>, <kernel.DependentProduct object at 0x1767758>) of role type named sy_c_Transcendental_Odiffs_001t__Int__Oint
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring diffs_int:((nat->int)->(nat->int))
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x17673b0>, <kernel.DependentProduct object at 0x17677e8>) of role type named sy_c_Transcendental_Odiffs_001t__Rat__Orat
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring diffs_rat:((nat->rat)->(nat->rat))
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1767518>, <kernel.DependentProduct object at 0x1767830>) of role type named sy_c_Transcendental_Odiffs_001t__Real__Oreal
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring diffs_real:((nat->real)->(nat->real))
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x1767440>, <kernel.DependentProduct object at 0x1767710>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring exp_complex:(complex->complex)
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x17675f0>, <kernel.DependentProduct object at 0x1767758>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring exp_real:(real->real)
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x17677a0>, <kernel.DependentProduct object at 0x1767998>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring ln_ln_real:(real->real)
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767830>, <kernel.DependentProduct object at 0x17675f0>) of role type named sy_c_Transcendental_Olog
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring log:(real->(real->real))
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x17679e0>, <kernel.Constant object at 0x17675f0>) of role type named sy_c_Transcendental_Opi
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring pi:real
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767998>, <kernel.DependentProduct object at 0x1767830>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring powr_real:(real->(real->real))
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767710>, <kernel.DependentProduct object at 0x1767ab8>) of role type named sy_c_Transcendental_Osin_001t__Complex__Ocomplex
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring sin_complex:(complex->complex)
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767518>, <kernel.DependentProduct object at 0x1767758>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring sin_real:(real->real)
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767560>, <kernel.DependentProduct object at 0x1767b90>) of role type named sy_c_Transcendental_Osin__coeff
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring sin_coeff:(nat->real)
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767ab8>, <kernel.DependentProduct object at 0x1767518>) of role type named sy_c_Transcendental_Osinh_001t__Complex__Ocomplex
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring sinh_complex:(complex->complex)
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767b90>, <kernel.DependentProduct object at 0x1767bd8>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring sinh_real:(real->real)
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x17679e0>, <kernel.DependentProduct object at 0x1767c20>) of role type named sy_c_Transcendental_Otan_001t__Complex__Ocomplex
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring tan_complex:(complex->complex)
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767560>, <kernel.DependentProduct object at 0x1767c68>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring tan_real:(real->real)
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767518>, <kernel.DependentProduct object at 0x1767cb0>) of role type named sy_c_Transcendental_Otanh_001t__Complex__Ocomplex
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring tanh_complex:(complex->complex)
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767bd8>, <kernel.DependentProduct object at 0x1767cf8>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring tanh_real:(real->real)
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767518>, <kernel.DependentProduct object at 0x1767bd8>) of role type named sy_c_Transitive__Closure_Ortrancl_001t__Nat__Onat
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring transi2905341329935302413cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767cf8>, <kernel.DependentProduct object at 0x1767518>) of role type named sy_c_Transitive__Closure_Otrancl_001t__Nat__Onat
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring transi6264000038957366511cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x17675f0>, <kernel.DependentProduct object at 0x1767e60>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767560>, <kernel.DependentProduct object at 0x1767518>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767f38>, <kernel.DependentProduct object at 0x1767cf8>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x17675f0>, <kernel.DependentProduct object at 0x1767f38>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767fc8>, <kernel.DependentProduct object at 0x1767cf8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x17675f0>, <kernel.DependentProduct object at 0x1767fc8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767ef0>, <kernel.DependentProduct object at 0x1767f38>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767fc8>, <kernel.DependentProduct object at 0x176a170>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767ef0>, <kernel.DependentProduct object at 0x176a050>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767ef0>, <kernel.DependentProduct object at 0x176a128>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767f80>, <kernel.DependentProduct object at 0x176a128>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767ef0>, <kernel.DependentProduct object at 0x176a290>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x1767f38>, <kernel.DependentProduct object at 0x176a290>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x176a368>, <kernel.DependentProduct object at 0x176a200>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x176a050>, <kernel.DependentProduct object at 0x176a3f8>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x176a1b8>, <kernel.DependentProduct object at 0x176a290>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x176a368>, <kernel.DependentProduct object at 0x176a1b8>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x176a440>, <kernel.DependentProduct object at 0x176a290>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.68/0.89 Using role type
% 0.68/0.89 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.68/0.89 FOF formula (<kernel.Constant object at 0x176a560>, <kernel.DependentProduct object at 0x176a518>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a3b0>, <kernel.DependentProduct object at 0x176a560>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a368>, <kernel.DependentProduct object at 0x176a3b0>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a290>, <kernel.DependentProduct object at 0x176a050>) of role type named sy_c_Wellfounded_Oaccp_001t__List__Olist_It__Nat__Onat_J
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring accp_list_nat:((list_nat->(list_nat->Prop))->(list_nat->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a3b0>, <kernel.DependentProduct object at 0x176a5f0>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a290>, <kernel.DependentProduct object at 0x176a440>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a5f0>, <kernel.DependentProduct object at 0x176a6c8>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a440>, <kernel.DependentProduct object at 0x176a758>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring accp_P3113834385874906142um_num:((product_prod_num_num->(product_prod_num_num->Prop))->(product_prod_num_num->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a6c8>, <kernel.DependentProduct object at 0x176a3b0>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a5f0>, <kernel.Constant object at 0x176a7e8>) of role type named sy_c_Wellfounded_Opred__nat
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring pred_nat:set_Pr1261947904930325089at_nat
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a3f8>, <kernel.DependentProduct object at 0x176a998>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring fChoice_real:((real->Prop)->real)
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a3b0>, <kernel.DependentProduct object at 0x176a3f8>) of role type named sy_c_member_001_Eo
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring member_o:(Prop->(set_o->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a830>, <kernel.DependentProduct object at 0x176a7e8>) of role type named sy_c_member_001t__Code____Numeral__Ointeger
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring member_Code_integer:(code_integer->(set_Code_integer->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a440>, <kernel.DependentProduct object at 0x176a830>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring member_complex:(complex->(set_complex->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176aa28>, <kernel.DependentProduct object at 0x176a3b0>) of role type named sy_c_member_001t__Int__Oint
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring member_int:(int->(set_int->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a6c8>, <kernel.DependentProduct object at 0x176a7e8>) of role type named sy_c_member_001t__List__Olist_It__Nat__Onat_J
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring member_list_nat:(list_nat->(set_list_nat->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a830>, <kernel.DependentProduct object at 0x176aa28>) of role type named sy_c_member_001t__Nat__Onat
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring member_nat:(nat->(set_nat->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a998>, <kernel.DependentProduct object at 0x176a6c8>) of role type named sy_c_member_001t__Num__Onum
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring member_num:(num->(set_num->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a830>, <kernel.DependentProduct object at 0x176a3b0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring member8440522571783428010at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176ab90>, <kernel.DependentProduct object at 0x176a6c8>) of role type named sy_c_member_001t__Rat__Orat
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring member_rat:(rat->(set_rat->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a5f0>, <kernel.DependentProduct object at 0x176ab90>) of role type named sy_c_member_001t__Real__Oreal
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring member_real:(real->(set_real->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176ac68>, <kernel.DependentProduct object at 0x176a830>) of role type named sy_c_member_001t__Set__Oset_It__Nat__Onat_J
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring member_set_nat:(set_nat->(set_set_nat->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a440>, <kernel.DependentProduct object at 0x176a6c8>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176ab90>, <kernel.Constant object at 0x176a6c8>) of role type named sy_v_deg____
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring deg:nat
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a830>, <kernel.Constant object at 0x176a5f0>) of role type named sy_v_info____
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring info:option4927543243414619207at_nat
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176ad40>, <kernel.Constant object at 0x176a5f0>) of role type named sy_v_m
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring m:nat
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176a6c8>, <kernel.Constant object at 0x176a5f0>) of role type named sy_v_n____
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring n:nat
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176acf8>, <kernel.Constant object at 0x176a5f0>) of role type named sy_v_na
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring na:nat
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176ad88>, <kernel.Constant object at 0x176a5f0>) of role type named sy_v_summary____
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring summary:vEBT_VEBT
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176add0>, <kernel.Constant object at 0x176a5f0>) of role type named sy_v_ta____
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring ta:vEBT_VEBT
% 0.68/0.90 FOF formula (<kernel.Constant object at 0x176ae18>, <kernel.Constant object at 0x176a5f0>) of role type named sy_v_treeList____
% 0.68/0.90 Using role type
% 0.68/0.90 Declaring treeList:list_VEBT_VEBT
% 0.68/0.90 FOF formula (((vEBT_invar_vebt summary) zero_zero_nat)->False) of role axiom named fact_0_Node_OIH_I2_J
% 0.68/0.90 A new axiom: (((vEBT_invar_vebt summary) zero_zero_nat)->False)
% 0.68/0.90 FOF formula ((member_VEBT_VEBT ta) (set_VEBT_VEBT2 treeList)) of role axiom named fact_1__092_060open_062t_A_092_060in_062_Aset_AtreeList_092_060close_062
% 0.68/0.90 A new axiom: ((member_VEBT_VEBT ta) (set_VEBT_VEBT2 treeList))
% 0.68/0.90 <<<ghtarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,axiom,
% 0.68/0.90 ~ !>>>!!!<<< [T: vEBT_VEBT] :
% 0.68/0.90 ~ ( member_VEBT_VEBT @ T @ ( set_VEBT_VEBT2 @ treeList ) ) ).
% 0.68/0.90
% 0.68/0.90 %>>>
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TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,125315), LexToken(LPAR,'(',1,125318), name, LexToken(COMMA,',',1,125512), formula_role, LexToken(COMMA,',',1,125518), unary_connective]
% 0.68/0.90 Unexpected exception Syntax error at '!':BANG
% 0.68/0.90 Traceback (most recent call last):
% 0.68/0.90 File "CASC.py", line 79, in <module>
% 0.68/0.90 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.68/0.90 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.68/0.90 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.68/0.90 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.68/0.90 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.68/0.90 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.68/0.90 tok = self.errorfunc(errtoken)
% 0.68/0.90 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.68/0.90 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.68/0.90 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------