TSTP Solution File: ITP227^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP227^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.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 17:47:37 EDT 2022
% Result : Unknown 0.55s 0.75s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ITP227^3 : TPTP v7.6.0. Released v7.6.0.
% 0.10/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 Computer : n024.cluster.edu
% 0.13/0.33 Model : x86_64 x86_64
% 0.13/0.33 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 RAMPerCPU : 8042.1875MB
% 0.13/0.33 OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Fri Mar 18 10:47:47 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.35 Python 2.7.5
% 0.20/0.56 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x9858c0>, <kernel.Type object at 0x985998>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring produc3368934014287244435at_num:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x9858c0>, <kernel.Type object at 0x2b3df2b15950>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring produc4471711990508489141at_nat:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x9858c0>, <kernel.Type object at 0x2b3df2b15098>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring list_P7413028617227757229T_VEBT:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x989dd0>, <kernel.Type object at 0x2b3df2b15cb0>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring produc2963631642982155120at_num:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x989ef0>, <kernel.Type object at 0x2b3df2b150e0>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring produc7248412053542808358at_nat:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3df2b15c68>, <kernel.Type object at 0x2b3df2b156c8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring list_P7037539587688870467BT_nat:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3df2b15bd8>, <kernel.Type object at 0x2b3df2b15878>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring list_P4547456442757143711BT_int:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3df2b15638>, <kernel.Type object at 0x2b3df2b15c68>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring list_P5647936690300460905T_VEBT:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3df2b15a28>, <kernel.Type object at 0x2b3df2b15ab8>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring produc8243902056947475879T_VEBT:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3df2b15638>, <kernel.Type object at 0x2b3deb047f80>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring produc8923325533196201883nteger:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3df2b15638>, <kernel.Type object at 0x2b3deb047ef0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring list_P3126845725202233233VEBT_o:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3df2b15a28>, <kernel.Type object at 0x2b3deb047f38>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring list_P7495141550334521929T_VEBT:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3deb047ea8>, <kernel.Type object at 0x2b3deb047dd0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring list_P8526636022914148096eger_o:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3deb047d40>, <kernel.Type object at 0x2b3deb047e60>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring option4927543243414619207at_nat:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3deb047e18>, <kernel.Type object at 0x2b3deb047ea8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring list_P3744719386663036955um_num:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3deb047cb0>, <kernel.Type object at 0x2b3deb047b90>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring list_P6011104703257516679at_nat:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3deb047e18>, <kernel.Type object at 0x2b3deb047d40>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring produc9072475918466114483BT_nat:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3deb047b00>, <kernel.Type object at 0x2b3deb047cb0>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring produc4894624898956917775BT_int:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3deb047a70>, <kernel.Type object at 0x2b3deb047e18>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring set_Pr1261947904930325089at_nat:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3deb0479e0>, <kernel.Type object at 0x2b3deb047b00>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring set_Pr958786334691620121nt_int:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3deb047950>, <kernel.Type object at 0x2b3deb047a70>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring list_P7333126701944960589_nat_o:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3deb0478c0>, <kernel.Type object at 0x2b3deb0479e0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring list_P6285523579766656935_o_nat:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3deb047830>, <kernel.Type object at 0x2b3deb047950>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring list_P3795440434834930179_o_int:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3deb0477a0>, <kernel.Type object at 0x2b3deb0478c0>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring produc334124729049499915VEBT_o:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3deb047680>, <kernel.Type object at 0x2b3deb047830>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring produc2504756804600209347T_VEBT:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3deb0475f0>, <kernel.Type object at 0x2b3deb0477a0>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring produc6271795597528267376eger_o:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3deb047680>, <kernel.Type object at 0x2b3deb047830>) of role type named ty_n_t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring product_prod_num_num:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3deb047560>, <kernel.Type object at 0x2b3deb047518>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring product_prod_nat_num:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3deb0475f0>, <kernel.Type object at 0x2b3deb047488>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring product_prod_nat_nat:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3deb047680>, <kernel.Type object at 0x2b3deb0473b0>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.20/0.56 Using role type
% 0.20/0.56 Declaring product_prod_int_int:Type
% 0.20/0.56 FOF formula (<kernel.Constant object at 0x2b3deb0475f0>, <kernel.Type object at 0x2b3deb047560>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring list_P4002435161011370285od_o_o:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb047680>, <kernel.Type object at 0x2b3deb0473b0>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring list_VEBT_VEBT:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb047518>, <kernel.Type object at 0x2b3deb047368>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring set_list_nat:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb0475f0>, <kernel.Type object at 0x2b3deb0472d8>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring product_prod_o_nat:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb047680>, <kernel.Type object at 0x2b3deb047200>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring product_prod_o_int:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb047518>, <kernel.Type object at 0x2b3deb047248>) of role type named ty_n_t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring list_Code_integer:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb0475f0>, <kernel.Type object at 0x2b3deb047170>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring set_VEBT_VEBT:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb047680>, <kernel.Type object at 0x2b3deb0471b8>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring set_set_nat:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb047518>, <kernel.Type object at 0x2b3deb0470e0>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring set_set_int:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb0475f0>, <kernel.Type object at 0x2b3deb047128>) of role type named ty_n_t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring set_Code_integer:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb047680>, <kernel.Type object at 0x2b3deb047050>) of role type named ty_n_t__Set__Oset_It__Product____Type__Ounit_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring set_Product_unit:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb047518>, <kernel.Type object at 0x2b3deb047098>) of role type named ty_n_t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring set_Extended_enat:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb047128>, <kernel.Type object at 0x2b3deb047050>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring list_complex:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb047098>, <kernel.Type object at 0x2b3df2b1a7e8>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring product_prod_o_o:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb047050>, <kernel.Type object at 0x2b3df2b1a7e8>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring set_complex:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb0475f0>, <kernel.Type object at 0x2b3df2b1aea8>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring filter_real:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb047128>, <kernel.Type object at 0x2b3df2b1a7e8>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring option_num:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb047050>, <kernel.Type object at 0x2b3df2afd2d8>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring filter_nat:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb0475f0>, <kernel.Type object at 0x2b3df2b1a7e8>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring set_char:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb047050>, <kernel.Type object at 0x2b3df2afd2d8>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring list_real:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3df2b1a7e8>, <kernel.Type object at 0x97ff80>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring set_real:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3df2afd320>, <kernel.Type object at 0x97fea8>) of role type named ty_n_t__List__Olist_It__Num__Onum_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring list_num:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3df2afd320>, <kernel.Type object at 0x97fbd8>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring list_nat:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3df2b1aea8>, <kernel.Type object at 0x97fc68>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring list_int:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3df2b1a1b8>, <kernel.Type object at 0x97fcf8>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring vEBT_VEBT:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3df2b1a7e8>, <kernel.Type object at 0x97fc68>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring set_rat:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3df2b1a7e8>, <kernel.Type object at 0x988830>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring set_num:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x97fc68>, <kernel.Type object at 0x988830>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring set_nat:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x97ff80>, <kernel.Type object at 0x988fc8>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring set_int:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x97fd88>, <kernel.Type object at 0x9889e0>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring code_integer:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x97fc68>, <kernel.Type object at 0x988a70>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring extended_enat:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x97fcf8>, <kernel.Type object at 0x988ab8>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring list_o:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x97fc68>, <kernel.Type object at 0x988908>) of role type named ty_n_t__Complex__Ocomplex
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring complex:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x97ff80>, <kernel.Type object at 0x9889e0>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring set_o:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x97ff80>, <kernel.Type object at 0x988908>) of role type named ty_n_t__String__Ochar
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring char:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x9889e0>, <kernel.Type object at 0x2b3deb045248>) of role type named ty_n_t__Real__Oreal
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring real:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x988908>, <kernel.Type object at 0x2b3deb045248>) of role type named ty_n_t__Rat__Orat
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring rat:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x9888c0>, <kernel.Type object at 0x2b3deb045200>) of role type named ty_n_t__Num__Onum
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring num:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x988950>, <kernel.Type object at 0x2b3deb0451b8>) of role type named ty_n_t__Nat__Onat
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring nat:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x988908>, <kernel.Type object at 0x2b3deb0450e0>) of role type named ty_n_t__Int__Oint
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring int:Type
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb045200>, <kernel.DependentProduct object at 0x2b3deb045368>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring archim7802044766580827645g_real:(real->int)
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb045248>, <kernel.DependentProduct object at 0x2b3deb0453f8>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring archim3151403230148437115or_rat:(rat->int)
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb045170>, <kernel.DependentProduct object at 0x2b3deb045488>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring archim6058952711729229775r_real:(real->int)
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb045248>, <kernel.DependentProduct object at 0x2b3deb045518>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb045488>, <kernel.DependentProduct object at 0x2b3deb0455a8>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring archim8280529875227126926d_real:(real->int)
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb045128>, <kernel.DependentProduct object at 0x2b3deb045518>) of role type named sy_c_Binomial_Obinomial
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring binomial:(nat->(nat->nat))
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb045638>, <kernel.DependentProduct object at 0x2b3deb045488>) of role type named sy_c_Binomial_Ogbinomial_001t__Complex__Ocomplex
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring gbinomial_complex:(complex->(nat->complex))
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb045680>, <kernel.DependentProduct object at 0x2b3deb045128>) of role type named sy_c_Binomial_Ogbinomial_001t__Int__Oint
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring gbinomial_int:(int->(nat->int))
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb0454d0>, <kernel.DependentProduct object at 0x2b3deb045638>) of role type named sy_c_Binomial_Ogbinomial_001t__Nat__Onat
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring gbinomial_nat:(nat->(nat->nat))
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb045560>, <kernel.DependentProduct object at 0x2b3deb045680>) of role type named sy_c_Binomial_Ogbinomial_001t__Rat__Orat
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring gbinomial_rat:(rat->(nat->rat))
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb0455a8>, <kernel.DependentProduct object at 0x2b3deb0454d0>) of role type named sy_c_Binomial_Ogbinomial_001t__Real__Oreal
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring gbinomial_real:(real->(nat->real))
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb045098>, <kernel.DependentProduct object at 0x2b3deb0455a8>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb045518>, <kernel.DependentProduct object at 0x2b3deb0454d0>) of role type named sy_c_Bit__Operations_Oand__not__num
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring bit_and_not_num:(num->(num->option_num))
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb045128>, <kernel.DependentProduct object at 0x2b3deb045560>) of role type named sy_c_Bit__Operations_Oand__not__num__rel
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring bit_and_not_num_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb045830>, <kernel.DependentProduct object at 0x2b3deb045128>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb045950>, <kernel.DependentProduct object at 0x2b3deb045098>) of role type named sy_c_Bit__Operations_Oor__not__num__neg
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring bit_or_not_num_neg:(num->(num->num))
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb045560>, <kernel.DependentProduct object at 0x2b3deb045950>) of role type named sy_c_Bit__Operations_Oor__not__num__neg__rel
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring bit_or3848514188828904588eg_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb045098>, <kernel.DependentProduct object at 0x2b3deb0459e0>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.20/0.57 FOF formula (<kernel.Constant object at 0x2b3deb045950>, <kernel.DependentProduct object at 0x2b3deb045098>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.20/0.57 Using role type
% 0.20/0.57 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x2b3deb0459e0>, <kernel.DependentProduct object at 0x2b3deb045950>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x2b3deb045098>, <kernel.DependentProduct object at 0x2b3deb0459e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Code____Numeral__Ointeger
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se3949692690581998587nteger:(code_integer->(code_integer->code_integer))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x2b3deb045950>, <kernel.DependentProduct object at 0x2b3deb045098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x2b3deb0459e0>, <kernel.DependentProduct object at 0x2b3deb045950>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x2b3deb045098>, <kernel.DependentProduct object at 0x2b3deb0459e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x2b3deb045950>, <kernel.DependentProduct object at 0x2b3deb045098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x2b3deb0459e0>, <kernel.DependentProduct object at 0x2b3deb045950>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x2b3deb045098>, <kernel.DependentProduct object at 0x2b3deb0459e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x2b3deb045950>, <kernel.DependentProduct object at 0x2b3deb045098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x2b3deb0459e0>, <kernel.DependentProduct object at 0x96f050>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Code____Numeral__Ointeger
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se2119862282449309892nteger:(nat->code_integer)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x2b3deb045098>, <kernel.DependentProduct object at 0x96f0e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x2b3deb045f80>, <kernel.DependentProduct object at 0x96f170>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x2b3deb045f80>, <kernel.DependentProduct object at 0x96f1b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x2b3deb045488>, <kernel.DependentProduct object at 0x96f248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f1b8>, <kernel.DependentProduct object at 0x96f2d8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f170>, <kernel.DependentProduct object at 0x96f368>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f128>, <kernel.DependentProduct object at 0x96f3f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f0e0>, <kernel.DependentProduct object at 0x96f128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f3f8>, <kernel.DependentProduct object at 0x96f0e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f128>, <kernel.DependentProduct object at 0x96f3f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Code____Numeral__Ointeger
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se1745604003318907178nteger:(nat->(code_integer->code_integer))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f0e0>, <kernel.DependentProduct object at 0x96f128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f3f8>, <kernel.DependentProduct object at 0x96f0e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f128>, <kernel.DependentProduct object at 0x96f3f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f0e0>, <kernel.DependentProduct object at 0x96f128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f3f8>, <kernel.DependentProduct object at 0x96f0e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f128>, <kernel.DependentProduct object at 0x96f3f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f0e0>, <kernel.DependentProduct object at 0x96f128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f3f8>, <kernel.DependentProduct object at 0x96f0e0>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Code____Numeral__Ointeger
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se9216721137139052372nteger:(code_integer->(nat->Prop))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f128>, <kernel.DependentProduct object at 0x96f3f8>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f0e0>, <kernel.DependentProduct object at 0x96f128>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96fb48>, <kernel.DependentProduct object at 0x96f3f8>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f0e0>, <kernel.DependentProduct object at 0x96fb48>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oand__num
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_un1837492267222099188nd_num:(num->(num->option_num))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f3f8>, <kernel.DependentProduct object at 0x96f0e0>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oand__num__rel
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_un5425074673868309765um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96fb48>, <kernel.DependentProduct object at 0x96f3f8>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oxor__num
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_un6178654185764691216or_num:(num->(num->option_num))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f0e0>, <kernel.DependentProduct object at 0x96fb48>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oxor__num__rel
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_un3595099601533988841um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f3f8>, <kernel.DependentProduct object at 0x96f0e0>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_un7362597486090784418nd_num:(num->(num->option_num))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96fb48>, <kernel.DependentProduct object at 0x96f3f8>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num__rel
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_un4731106466462545111um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f0e0>, <kernel.DependentProduct object at 0x96fb48>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_un2480387367778600638or_num:(num->(num->option_num))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f3f8>, <kernel.DependentProduct object at 0x972098>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num__rel
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring bit_un2901131394128224187um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96ff38>, <kernel.DependentProduct object at 0x972050>) of role type named sy_c_Code__Numeral_Obit__cut__integer
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring code_bit_cut_integer:(code_integer->produc6271795597528267376eger_o)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f290>, <kernel.DependentProduct object at 0x972170>) of role type named sy_c_Code__Numeral_Odivmod__abs
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring code_divmod_abs:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f3f8>, <kernel.DependentProduct object at 0x972098>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96ffc8>, <kernel.DependentProduct object at 0x972170>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring code_int_of_integer:(code_integer->int)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96ff38>, <kernel.DependentProduct object at 0x972290>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring code_integer_of_int:(int->code_integer)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f3f8>, <kernel.DependentProduct object at 0x972248>) of role type named sy_c_Code__Numeral_Ointeger__of__num
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring code_integer_of_num:(num->code_integer)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x96f3f8>, <kernel.DependentProduct object at 0x9722d8>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring code_nat_of_integer:(code_integer->nat)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x9720e0>, <kernel.DependentProduct object at 0x972368>) of role type named sy_c_Code__Numeral_Onegative
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring code_negative:(num->code_integer)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x972248>, <kernel.DependentProduct object at 0x972098>) of role type named sy_c_Code__Numeral_Onum__of__integer
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring code_num_of_integer:(code_integer->num)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x972200>, <kernel.DependentProduct object at 0x9723f8>) of role type named sy_c_Code__Numeral_Opositive
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring code_positive:(num->code_integer)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x972368>, <kernel.DependentProduct object at 0x972440>) of role type named sy_c_Code__Target__Int_Onegative
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring code_Target_negative:(num->int)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x9720e0>, <kernel.DependentProduct object at 0x972488>) of role type named sy_c_Code__Target__Int_Opositive
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring code_Target_positive:(num->int)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x9722d8>, <kernel.DependentProduct object at 0x972200>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Real__Oreal
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring comple4887499456419720421f_real:(set_real->real)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x9720e0>, <kernel.DependentProduct object at 0x972518>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Nat__Onat_J
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring comple7806235888213564991et_nat:(set_set_nat->set_nat)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x972170>, <kernel.DependentProduct object at 0x9725a8>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Int__Oint
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring complete_Sup_Sup_int:(set_int->int)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x9720e0>, <kernel.DependentProduct object at 0x9725f0>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Real__Oreal
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring comple1385675409528146559p_real:(set_real->real)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x9725a8>, <kernel.DependentProduct object at 0x972680>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Nat__Onat_J
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring comple7399068483239264473et_nat:(set_set_nat->set_nat)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x972098>, <kernel.DependentProduct object at 0x972710>) of role type named sy_c_Complex_OArg
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring arg:(complex->real)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x972200>, <kernel.DependentProduct object at 0x972758>) of role type named sy_c_Complex_Ocis
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring cis:(real->complex)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x972638>, <kernel.DependentProduct object at 0x9727a0>) of role type named sy_c_Complex_Ocnj
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring cnj:(complex->complex)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x972320>, <kernel.DependentProduct object at 0x972638>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring complex2:(real->(real->complex))
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x972830>, <kernel.DependentProduct object at 0x9728c0>) of role type named sy_c_Complex_Ocomplex_OIm
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring im:(complex->real)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x972638>, <kernel.DependentProduct object at 0x972878>) of role type named sy_c_Complex_Ocomplex_ORe
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring re:(complex->real)
% 0.20/0.58 FOF formula (<kernel.Constant object at 0x9725a8>, <kernel.DependentProduct object at 0x972758>) of role type named sy_c_Complex_Ocsqrt
% 0.20/0.58 Using role type
% 0.20/0.58 Declaring csqrt:(complex->complex)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x972680>, <kernel.Constant object at 0x9728c0>) of role type named sy_c_Complex_Oimaginary__unit
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring imaginary_unit:complex
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x972638>, <kernel.DependentProduct object at 0x9727a0>) of role type named sy_c_Deriv_Odifferentiable_001t__Real__Oreal_001t__Real__Oreal
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring differ6690327859849518006l_real:((real->real)->(filter_real->Prop))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x972680>, <kernel.DependentProduct object at 0x9728c0>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x972a28>, <kernel.DependentProduct object at 0x972ab8>) of role type named sy_c_Divides_Oadjust__div
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring adjust_div:(product_prod_int_int->int)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x972830>, <kernel.DependentProduct object at 0x972680>) of role type named sy_c_Divides_Oadjust__mod
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring adjust_mod:(int->(int->int))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x972a70>, <kernel.DependentProduct object at 0x972a28>) of role type named sy_c_Divides_Odivmod__nat
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x972320>, <kernel.DependentProduct object at 0x972a70>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x972830>, <kernel.DependentProduct object at 0x9728c0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Code____Numeral__Ointeger
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring unique5706413561485394159nteger:(produc8923325533196201883nteger->Prop)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x972320>, <kernel.DependentProduct object at 0x972b90>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x9728c0>, <kernel.DependentProduct object at 0x972c20>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x972b90>, <kernel.DependentProduct object at 0x9728c0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x972c20>, <kernel.DependentProduct object at 0x972b90>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x9728c0>, <kernel.DependentProduct object at 0x972c20>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x972b90>, <kernel.DependentProduct object at 0x972ef0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring unique4921790084139445826nteger:(num->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x972c20>, <kernel.DependentProduct object at 0x972b90>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x972ef0>, <kernel.DependentProduct object at 0x972c20>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x972b90>, <kernel.DependentProduct object at 0x972ea8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Code____Numeral__Ointeger
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring comm_s8582702949713902594nteger:(code_integer->(nat->code_integer))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x972b90>, <kernel.DependentProduct object at 0x9790e0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Complex__Ocomplex
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring comm_s2602460028002588243omplex:(complex->(nat->complex))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x972b90>, <kernel.DependentProduct object at 0x9791b8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Int__Oint
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring comm_s4660882817536571857er_int:(int->(nat->int))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x972d40>, <kernel.DependentProduct object at 0x979248>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Nat__Onat
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring comm_s4663373288045622133er_nat:(nat->(nat->nat))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x9791b8>, <kernel.DependentProduct object at 0x9792d8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Rat__Orat
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring comm_s4028243227959126397er_rat:(rat->(nat->rat))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x9790e0>, <kernel.DependentProduct object at 0x979368>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Real__Oreal
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring comm_s7457072308508201937r_real:(real->(nat->real))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979200>, <kernel.DependentProduct object at 0x9791b8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Code____Numeral__Ointeger
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring semiri3624122377584611663nteger:(nat->code_integer)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979050>, <kernel.DependentProduct object at 0x9794d0>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979200>, <kernel.DependentProduct object at 0x979560>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Int__Oint
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring semiri1406184849735516958ct_int:(nat->int)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x9794d0>, <kernel.DependentProduct object at 0x9795f0>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979560>, <kernel.DependentProduct object at 0x979680>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Rat__Orat
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring semiri773545260158071498ct_rat:(nat->rat)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x9795f0>, <kernel.DependentProduct object at 0x979710>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979680>, <kernel.DependentProduct object at 0x9797a0>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Complex__Ocomplex
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring invers8013647133539491842omplex:(complex->complex)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x9790e0>, <kernel.DependentProduct object at 0x979830>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring inverse_inverse_rat:(rat->rat)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x9796c8>, <kernel.DependentProduct object at 0x979878>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring inverse_inverse_real:(real->real)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979758>, <kernel.Constant object at 0x979878>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring at_bot_real:filter_real
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979830>, <kernel.Constant object at 0x979878>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring at_top_nat:filter_nat
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979710>, <kernel.Constant object at 0x979878>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring at_top_real:filter_real
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979680>, <kernel.DependentProduct object at 0x979830>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979878>, <kernel.DependentProduct object at 0x979710>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979830>, <kernel.DependentProduct object at 0x979950>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979a70>, <kernel.DependentProduct object at 0x9799e0>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979b00>, <kernel.DependentProduct object at 0x979a28>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979290>, <kernel.DependentProduct object at 0x979b90>) of role type named sy_c_Finite__Set_Ocard_001_Eo
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring finite_card_o:(set_o->nat)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979680>, <kernel.DependentProduct object at 0x979b00>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring finite_card_complex:(set_complex->nat)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979b90>, <kernel.DependentProduct object at 0x979ab8>) of role type named sy_c_Finite__Set_Ocard_001t__Int__Oint
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring finite_card_int:(set_int->nat)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979830>, <kernel.DependentProduct object at 0x979bd8>) of role type named sy_c_Finite__Set_Ocard_001t__List__Olist_It__Nat__Onat_J
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring finite_card_list_nat:(set_list_nat->nat)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979290>, <kernel.DependentProduct object at 0x979c20>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring finite_card_nat:(set_nat->nat)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979830>, <kernel.DependentProduct object at 0x979c68>) of role type named sy_c_Finite__Set_Ocard_001t__Product____Type__Ounit
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring finite410649719033368117t_unit:(set_Product_unit->nat)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979b00>, <kernel.DependentProduct object at 0x979cf8>) of role type named sy_c_Finite__Set_Ocard_001t__String__Ochar
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring finite_card_char:(set_char->nat)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979830>, <kernel.DependentProduct object at 0x979c20>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979b00>, <kernel.DependentProduct object at 0x979d88>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring finite_finite_int:(set_int->Prop)
% 0.20/0.59 FOF formula (<kernel.Constant object at 0x979cf8>, <kernel.DependentProduct object at 0x979dd0>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.20/0.59 Using role type
% 0.20/0.59 Declaring finite_finite_nat:(set_nat->Prop)
% 0.20/0.60 FOF formula (<kernel.Constant object at 0x979b00>, <kernel.DependentProduct object at 0x979830>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.20/0.60 Using role type
% 0.20/0.60 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.20/0.60 FOF formula (<kernel.Constant object at 0x979ea8>, <kernel.DependentProduct object at 0x979d88>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.20/0.60 Using role type
% 0.20/0.60 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.20/0.60 FOF formula (<kernel.Constant object at 0x979ef0>, <kernel.DependentProduct object at 0x979cf8>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.20/0.60 Using role type
% 0.20/0.60 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.20/0.60 FOF formula (<kernel.Constant object at 0x979ea8>, <kernel.DependentProduct object at 0x979ef0>) 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
% 0.20/0.60 Using role type
% 0.20/0.60 Declaring comp_C8797469213163452608nteger:(((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->(code_integer->code_integer))->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.20/0.60 FOF formula (<kernel.Constant object at 0x979cf8>, <kernel.DependentProduct object at 0x979ea8>) 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
% 0.20/0.60 Using role type
% 0.20/0.60 Declaring comp_C1593894019821074884nteger:((code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->code_integer)->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.20/0.60 FOF formula (<kernel.Constant object at 0x979ef0>, <kernel.DependentProduct object at 0x2b3deb04b1b8>) of role type named sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.20/0.60 Using role type
% 0.20/0.60 Declaring comp_C3531382070062128313er_num:((code_integer->code_integer)->((num->code_integer)->(num->code_integer)))
% 0.20/0.60 FOF formula (<kernel.Constant object at 0x979cf8>, <kernel.DependentProduct object at 0x2b3deb04b200>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Int__Oint_001t__Num__Onum
% 0.20/0.60 Using role type
% 0.20/0.60 Declaring comp_int_int_num:((int->int)->((num->int)->(num->int)))
% 0.20/0.60 FOF formula (<kernel.Constant object at 0x979ea8>, <kernel.DependentProduct object at 0x2b3deb04b248>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.20/0.60 Using role type
% 0.20/0.60 Declaring comp_nat_nat_nat:((nat->nat)->((nat->nat)->(nat->nat)))
% 0.20/0.60 FOF formula (<kernel.Constant object at 0x979ef0>, <kernel.DependentProduct object at 0x2b3deb04b050>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Real__Oreal_001t__Nat__Onat
% 0.20/0.60 Using role type
% 0.20/0.60 Declaring comp_nat_real_nat:((nat->real)->((nat->nat)->(nat->real)))
% 0.20/0.60 FOF formula (<kernel.Constant object at 0x979ea8>, <kernel.DependentProduct object at 0x2b3deb04b098>) of role type named sy_c_Fun_Oid_001_Eo
% 0.20/0.60 Using role type
% 0.20/0.60 Declaring id_o:(Prop->Prop)
% 0.20/0.60 FOF formula (<kernel.Constant object at 0x979ea8>, <kernel.DependentProduct object at 0x2b3deb04b1b8>) of role type named sy_c_Fun_Oid_001t__Nat__Onat
% 0.20/0.60 Using role type
% 0.20/0.60 Declaring id_nat:(nat->nat)
% 0.20/0.60 FOF formula (<kernel.Constant object at 0x979ea8>, <kernel.DependentProduct object at 0x2b3deb04b1b8>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Nat__Onat
% 0.20/0.60 Using role type
% 0.20/0.60 Declaring inj_on_nat_nat:((nat->nat)->(set_nat->Prop))
% 0.20/0.60 FOF formula (<kernel.Constant object at 0x2b3deb04b098>, <kernel.DependentProduct object at 0x2b3deb04b128>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__String__Ochar
% 0.45/0.60 Using role type
% 0.45/0.60 Declaring inj_on_nat_char:((nat->char)->(set_nat->Prop))
% 0.45/0.60 FOF formula (<kernel.Constant object at 0x2b3deb04b1b8>, <kernel.DependentProduct object at 0x2b3deb04b2d8>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Real__Oreal
% 0.45/0.60 Using role type
% 0.45/0.60 Declaring inj_on_real_real:((real->real)->(set_real->Prop))
% 0.45/0.60 FOF formula (<kernel.Constant object at 0x2b3deb04b098>, <kernel.DependentProduct object at 0x2b3deb04b1b8>) 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
% 0.45/0.60 Using role type
% 0.45/0.60 Declaring map_fu898904425404107465nt_o_o:((rat->product_prod_int_int)->((Prop->Prop)->((product_prod_int_int->Prop)->(rat->Prop))))
% 0.45/0.60 FOF formula (<kernel.Constant object at 0x2b3deb04b2d8>, <kernel.DependentProduct object at 0x2b3deb04b3f8>) of role type named sy_c_Fun_Ostrict__mono__on_001t__Nat__Onat_001t__Nat__Onat
% 0.45/0.60 Using role type
% 0.45/0.60 Declaring strict1292158309912662752at_nat:((nat->nat)->(set_nat->Prop))
% 0.45/0.60 FOF formula (<kernel.Constant object at 0x2b3deb04b1b8>, <kernel.DependentProduct object at 0x2b3deb04b560>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.45/0.60 Using role type
% 0.45/0.60 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.45/0.60 FOF formula (<kernel.Constant object at 0x2b3deb04b4d0>, <kernel.DependentProduct object at 0x2b3deb04b5f0>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Int__Oint
% 0.45/0.60 Using role type
% 0.45/0.60 Declaring gcd_Gcd_int:(set_int->int)
% 0.45/0.60 FOF formula (<kernel.Constant object at 0x2b3deb04b488>, <kernel.DependentProduct object at 0x2b3deb04b5a8>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Nat__Onat
% 0.45/0.60 Using role type
% 0.45/0.60 Declaring gcd_Gcd_nat:(set_nat->nat)
% 0.45/0.60 FOF formula (<kernel.Constant object at 0x2b3deb04b200>, <kernel.DependentProduct object at 0x2b3deb04b4d0>) of role type named sy_c_GCD_Obezw
% 0.45/0.60 Using role type
% 0.45/0.60 Declaring bezw:(nat->(nat->product_prod_int_int))
% 0.45/0.60 FOF formula (<kernel.Constant object at 0x2b3deb04b518>, <kernel.DependentProduct object at 0x2b3deb04b488>) of role type named sy_c_GCD_Obezw__rel
% 0.45/0.60 Using role type
% 0.45/0.60 Declaring bezw_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.45/0.60 FOF formula (<kernel.Constant object at 0x2b3deb04b3f8>, <kernel.DependentProduct object at 0x2b3deb04b200>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Code____Numeral__Ointeger
% 0.45/0.60 Using role type
% 0.45/0.60 Declaring gcd_gcd_Code_integer:(code_integer->(code_integer->code_integer))
% 0.45/0.60 FOF formula (<kernel.Constant object at 0x2b3deb04b638>, <kernel.DependentProduct object at 0x2b3deb04b518>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Int__Oint
% 0.45/0.60 Using role type
% 0.45/0.60 Declaring gcd_gcd_int:(int->(int->int))
% 0.45/0.60 FOF formula (<kernel.Constant object at 0x2b3deb04b6c8>, <kernel.DependentProduct object at 0x2b3deb04b3f8>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Nat__Onat
% 0.45/0.60 Using role type
% 0.45/0.60 Declaring gcd_gcd_nat:(nat->(nat->nat))
% 0.45/0.60 FOF formula (<kernel.Constant object at 0x2b3deb04b5a8>, <kernel.DependentProduct object at 0x2b3deb04b638>) of role type named sy_c_GCD_Ogcd__nat__rel
% 0.45/0.60 Using role type
% 0.45/0.60 Declaring gcd_nat_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.45/0.60 FOF formula (<kernel.Constant object at 0x2b3deb04b5f0>, <kernel.DependentProduct object at 0x2b3deb04b680>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.45/0.60 Using role type
% 0.45/0.60 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.45/0.60 FOF formula (<kernel.Constant object at 0x2b3deb04b518>, <kernel.DependentProduct object at 0x2b3deb04b7e8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.45/0.60 Using role type
% 0.45/0.60 Declaring abs_abs_complex:(complex->complex)
% 0.45/0.60 FOF formula (<kernel.Constant object at 0x2b3deb04b7a0>, <kernel.DependentProduct object at 0x2b3deb04b830>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.45/0.60 Using role type
% 0.45/0.60 Declaring abs_abs_int:(int->int)
% 0.45/0.60 FOF formula (<kernel.Constant object at 0x2b3deb04b638>, <kernel.DependentProduct object at 0x2b3deb04b878>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring abs_abs_rat:(rat->rat)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04b680>, <kernel.DependentProduct object at 0x2b3deb04b8c0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring abs_abs_real:(real->real)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04b638>, <kernel.DependentProduct object at 0x2b3deb04b680>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring minus_8373710615458151222nteger:(code_integer->(code_integer->code_integer))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04b908>, <kernel.DependentProduct object at 0x2b3deb04b8c0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04b638>, <kernel.DependentProduct object at 0x2b3deb04b908>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Extended____Nat__Oenat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring minus_3235023915231533773d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04b9e0>, <kernel.DependentProduct object at 0x2b3deb04b8c0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring minus_minus_int:(int->(int->int))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04b7e8>, <kernel.DependentProduct object at 0x2b3deb04b638>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04bab8>, <kernel.DependentProduct object at 0x2b3deb04b9e0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring minus_minus_rat:(rat->(rat->rat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04b680>, <kernel.DependentProduct object at 0x2b3deb04b7e8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring minus_minus_real:(real->(real->real))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04bab8>, <kernel.DependentProduct object at 0x2b3deb04b680>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04b908>, <kernel.DependentProduct object at 0x2b3deb04b7e8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04b998>, <kernel.DependentProduct object at 0x2b3deb04bab8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04b908>, <kernel.DependentProduct object at 0x2b3deb04b680>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring minus_1356011639430497352at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04ba70>, <kernel.DependentProduct object at 0x2b3deb04bab8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04b998>, <kernel.Constant object at 0x2b3deb04bab8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring one_one_Code_integer:code_integer
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04b680>, <kernel.Constant object at 0x2b3deb04bab8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring one_one_complex:complex
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04b998>, <kernel.Constant object at 0x2b3deb04bd40>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04bdd0>, <kernel.Constant object at 0x2b3deb04bd40>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring one_one_int:int
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04bc20>, <kernel.Constant object at 0x2b3deb04bd40>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring one_one_nat:nat
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04be18>, <kernel.Constant object at 0x2b3deb04bd40>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring one_one_rat:rat
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04be60>, <kernel.Constant object at 0x2b3deb04bd40>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring one_one_real:real
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04be18>, <kernel.DependentProduct object at 0x2b3deb04be60>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04bfc8>, <kernel.DependentProduct object at 0x2b3deb04bef0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04be18>, <kernel.DependentProduct object at 0x2b3deb04be60>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04bf38>, <kernel.DependentProduct object at 0x2b3deb051128>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring plus_plus_int:(int->(int->int))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04be18>, <kernel.DependentProduct object at 0x2b3deb051200>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04be60>, <kernel.DependentProduct object at 0x2b3deb051248>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring plus_plus_num:(num->(num->num))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04be18>, <kernel.DependentProduct object at 0x2b3deb051050>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04be60>, <kernel.DependentProduct object at 0x2b3deb051128>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring plus_plus_real:(real->(real->real))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb04be60>, <kernel.DependentProduct object at 0x2b3deb0510e0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051248>, <kernel.DependentProduct object at 0x2b3deb0511b8>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring sgn_sgn_complex:(complex->complex)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051050>, <kernel.DependentProduct object at 0x2b3deb051368>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring sgn_sgn_int:(int->int)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051128>, <kernel.DependentProduct object at 0x2b3deb0513b0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring sgn_sgn_rat:(rat->rat)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb0510e0>, <kernel.DependentProduct object at 0x2b3deb0513f8>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring sgn_sgn_real:(real->real)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051128>, <kernel.DependentProduct object at 0x2b3deb0510e0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051440>, <kernel.DependentProduct object at 0x2b3deb0513f8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring times_times_complex:(complex->(complex->complex))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051128>, <kernel.DependentProduct object at 0x2b3deb051440>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051518>, <kernel.DependentProduct object at 0x2b3deb0513f8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring times_times_int:(int->(int->int))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb0511b8>, <kernel.DependentProduct object at 0x2b3deb051128>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring times_times_nat:(nat->(nat->nat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb0515f0>, <kernel.DependentProduct object at 0x2b3deb051518>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring times_times_num:(num->(num->num))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb0510e0>, <kernel.DependentProduct object at 0x2b3deb0511b8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring times_times_rat:(rat->(rat->rat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb0514d0>, <kernel.DependentProduct object at 0x2b3deb0515f0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring times_times_real:(real->(real->real))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb0510e0>, <kernel.DependentProduct object at 0x2b3deb0513f8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb0515f0>, <kernel.DependentProduct object at 0x2b3deb0517a0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051440>, <kernel.DependentProduct object at 0x2b3deb051830>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring uminus_uminus_int:(int->int)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051758>, <kernel.DependentProduct object at 0x2b3deb051878>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring uminus_uminus_rat:(rat->rat)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051128>, <kernel.DependentProduct object at 0x2b3deb0518c0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring uminus_uminus_real:(real->real)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051758>, <kernel.DependentProduct object at 0x2b3deb051908>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring uminus8566677241136511917omplex:(set_complex->set_complex)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb0518c0>, <kernel.DependentProduct object at 0x2b3deb051998>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Int__Oint_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring uminus1532241313380277803et_int:(set_int->set_int)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051908>, <kernel.DependentProduct object at 0x2b3deb051a28>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051998>, <kernel.DependentProduct object at 0x2b3deb051908>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring uminus6524753893492686040at_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051a28>, <kernel.DependentProduct object at 0x2b3deb051b48>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Real__Oreal_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring uminus612125837232591019t_real:(set_real->set_real)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051908>, <kernel.Constant object at 0x2b3deb051a70>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring zero_z3403309356797280102nteger:code_integer
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051b00>, <kernel.Constant object at 0x2b3deb051a70>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring zero_zero_complex:complex
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051908>, <kernel.Constant object at 0x2b3deb0519e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051bd8>, <kernel.Constant object at 0x2b3deb0519e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring zero_zero_int:int
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051c68>, <kernel.Constant object at 0x2b3deb0519e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring zero_zero_nat:nat
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051cb0>, <kernel.Constant object at 0x2b3deb0519e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring zero_zero_rat:rat
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051cf8>, <kernel.Constant object at 0x2b3deb0519e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring zero_zero_real:real
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051cb0>, <kernel.DependentProduct object at 0x2b3deb051d40>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring groups6621422865394947399nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb0519e0>, <kernel.DependentProduct object at 0x2b3deb051cf8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051d40>, <kernel.DependentProduct object at 0x2b3deb051cb0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051cf8>, <kernel.DependentProduct object at 0x2b3deb0519e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051cb0>, <kernel.DependentProduct object at 0x2b3deb051b90>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring groups5058264527183730370ex_rat:((complex->rat)->(set_complex->rat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b3deb051cb0>, <kernel.DependentProduct object at 0x2b3deb0550e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2b3deb051cb0>, <kernel.DependentProduct object at 0x2b3deb055128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring groups7873554091576472773nteger:((int->code_integer)->(set_int->code_integer))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2b3deb051cf8>, <kernel.DependentProduct object at 0x2b3deb055170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Complex__Ocomplex
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring groups3049146728041665814omplex:((int->complex)->(set_int->complex))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055200>, <kernel.DependentProduct object at 0x2b3deb055248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2b3deb0552d8>, <kernel.DependentProduct object at 0x2b3deb0551b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055290>, <kernel.DependentProduct object at 0x2b3deb055200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Rat__Orat
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring groups3906332499630173760nt_rat:((int->rat)->(set_int->rat))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055368>, <kernel.DependentProduct object at 0x2b3deb0553f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055290>, <kernel.DependentProduct object at 0x2b3deb0552d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring groups7501900531339628137nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2b3deb0553f8>, <kernel.DependentProduct object at 0x2b3deb055368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2b3deb0552d8>, <kernel.DependentProduct object at 0x2b3deb055290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055368>, <kernel.DependentProduct object at 0x2b3deb0553f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055290>, <kernel.DependentProduct object at 0x2b3deb0552d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Rat__Orat
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring groups2906978787729119204at_rat:((nat->rat)->(set_nat->rat))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2b3deb0553f8>, <kernel.DependentProduct object at 0x2b3deb055368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2b3deb0552d8>, <kernel.DependentProduct object at 0x2b3deb055098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Complex__Ocomplex
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups6381953495645901045omplex:((product_prod_nat_nat->complex)->(set_Pr1261947904930325089at_nat->complex))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055368>, <kernel.DependentProduct object at 0x2b3deb055200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups977919841031483927at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->nat))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055098>, <kernel.DependentProduct object at 0x2b3deb055878>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Real__Oreal
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups4567486121110086003t_real:((product_prod_nat_nat->real)->(set_Pr1261947904930325089at_nat->real))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055200>, <kernel.DependentProduct object at 0x2b3deb055290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups7713935264441627589nteger:((real->code_integer)->(set_real->code_integer))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055878>, <kernel.DependentProduct object at 0x2b3deb055098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups5754745047067104278omplex:((real->complex)->(set_real->complex))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055290>, <kernel.DependentProduct object at 0x2b3deb055200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Int__Oint
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups1932886352136224148al_int:((real->int)->(set_real->int))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055098>, <kernel.DependentProduct object at 0x2b3deb055878>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055200>, <kernel.DependentProduct object at 0x2b3deb055290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Rat__Orat
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups1300246762558778688al_rat:((real->rat)->(set_real->rat))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055878>, <kernel.DependentProduct object at 0x2b3deb055098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055290>, <kernel.DependentProduct object at 0x2b3deb055200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups3708469109370488835omplex:((complex->complex)->(set_complex->complex))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055098>, <kernel.DependentProduct object at 0x2b3deb055878>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups225925009352817453ex_rat:((complex->rat)->(set_complex->rat))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055200>, <kernel.DependentProduct object at 0x2b3deb055290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups766887009212190081x_real:((complex->real)->(set_complex->real))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055878>, <kernel.DependentProduct object at 0x2b3deb055098>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Complex__Ocomplex
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups7440179247065528705omplex:((int->complex)->(set_int->complex))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055290>, <kernel.DependentProduct object at 0x2b3deb055200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055098>, <kernel.DependentProduct object at 0x2b3deb055998>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Nat__Onat
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups1707563613775114915nt_nat:((int->nat)->(set_int->nat))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055098>, <kernel.DependentProduct object at 0x2b3deb057098>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Rat__Orat
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups1072433553688619179nt_rat:((int->rat)->(set_int->rat))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055098>, <kernel.DependentProduct object at 0x2b3deb057128>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Real__Oreal
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups2316167850115554303t_real:((int->real)->(set_int->real))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb055290>, <kernel.DependentProduct object at 0x2b3deb057170>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups6464643781859351333omplex:((nat->complex)->(set_nat->complex))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb057200>, <kernel.DependentProduct object at 0x2b3deb057248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb0572d8>, <kernel.DependentProduct object at 0x2b3deb0571b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb057290>, <kernel.DependentProduct object at 0x2b3deb057200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Rat__Orat
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups73079841787564623at_rat:((nat->rat)->(set_nat->rat))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb057368>, <kernel.DependentProduct object at 0x2b3deb0573f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Real__Oreal
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups129246275422532515t_real:((nat->real)->(set_nat->real))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb057290>, <kernel.DependentProduct object at 0x2b3deb0570e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Complex__Ocomplex
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups8110221916422527690omplex:((product_prod_nat_nat->complex)->(set_Pr1261947904930325089at_nat->complex))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb0573f8>, <kernel.DependentProduct object at 0x2b3deb057200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups4075276357253098568at_int:((product_prod_nat_nat->int)->(set_Pr1261947904930325089at_nat->int))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb0570e0>, <kernel.DependentProduct object at 0x2b3deb057518>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups4077766827762148844at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->nat))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x2b3deb057200>, <kernel.DependentProduct object at 0x2b3deb0575a8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Real__Oreal
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring groups6036352826371341000t_real:((product_prod_nat_nat->real)->(set_Pr1261947904930325089at_nat->real))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057518>, <kernel.DependentProduct object at 0x2b3deb0572d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups713298508707869441omplex:((real->complex)->(set_real->complex))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3deb0575a8>, <kernel.DependentProduct object at 0x2b3deb057200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups4696554848551431203al_nat:((real->nat)->(set_real->nat))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3deb0572d8>, <kernel.DependentProduct object at 0x2b3deb057518>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Rat__Orat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups4061424788464935467al_rat:((real->rat)->(set_real->rat))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057200>, <kernel.DependentProduct object at 0x2b3deb0575a8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups1681761925125756287l_real:((real->real)->(set_real->real))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057518>, <kernel.DependentProduct object at 0x2b3deb057200>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Int__Oint
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups9116527308978886569_o_int:((Prop->int)->(int->(list_o->int)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3deb0575a8>, <kernel.DependentProduct object at 0x2b3deb057b00>) of role type named sy_c_Groups__List_Omonoid__add__class_Osum__list_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups4561878855575611511st_nat:(list_nat->nat)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057320>, <kernel.DependentProduct object at 0x2b3deb057b48>) of role type named sy_c_HOL_OThe_001t__Int__Oint
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring the_int:((int->Prop)->int)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057a28>, <kernel.DependentProduct object at 0x2b3deb057b90>) of role type named sy_c_HOL_OThe_001t__Real__Oreal
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring the_real:((real->Prop)->real)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057518>, <kernel.DependentProduct object at 0x2b3deb057bd8>) of role type named sy_c_If_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring if_int_int:(Prop->((int->int)->((int->int)->(int->int))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057b00>, <kernel.DependentProduct object at 0x2b3deb057320>) of role type named sy_c_If_001_062_It__Nat__Onat_M_062_It__Int__Oint_Mt__Int__Oint_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring if_nat_int_int:(Prop->((nat->(int->int))->((nat->(int->int))->(nat->(int->int)))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057ab8>, <kernel.DependentProduct object at 0x2b3deb057518>) of role type named sy_c_If_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring if_nat_nat_nat:(Prop->((nat->(nat->nat))->((nat->(nat->nat))->(nat->(nat->nat)))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057200>, <kernel.DependentProduct object at 0x2b3deb057518>) of role type named sy_c_If_001t__Code____Numeral__Ointeger
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring if_Code_integer:(Prop->(code_integer->(code_integer->code_integer)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057950>, <kernel.DependentProduct object at 0x2b3deb057b90>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057cf8>, <kernel.DependentProduct object at 0x2b3deb057950>) of role type named sy_c_If_001t__Extended____Nat__Oenat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring if_Extended_enat:(Prop->(extended_enat->(extended_enat->extended_enat)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057d88>, <kernel.DependentProduct object at 0x2b3deb057950>) of role type named sy_c_If_001t__Int__Oint
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring if_int:(Prop->(int->(int->int)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057320>, <kernel.DependentProduct object at 0x2b3deb057950>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057bd8>, <kernel.DependentProduct object at 0x2b3deb057950>) of role type named sy_c_If_001t__List__Olist_It__Nat__Onat_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring if_list_nat:(Prop->(list_nat->(list_nat->list_nat)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057e60>, <kernel.DependentProduct object at 0x2b3deb057950>) of role type named sy_c_If_001t__Nat__Onat
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057ea8>, <kernel.DependentProduct object at 0x2b3deb057950>) of role type named sy_c_If_001t__Num__Onum
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring if_num:(Prop->(num->(num->num)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057ef0>, <kernel.DependentProduct object at 0x2b3deb057950>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057ea8>, <kernel.DependentProduct object at 0x2b3deb057cf8>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring if_Pro5737122678794959658eger_o:(Prop->(produc6271795597528267376eger_o->(produc6271795597528267376eger_o->produc6271795597528267376eger_o)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057950>, <kernel.DependentProduct object at 0x2b3deb057200>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057cf8>, <kernel.DependentProduct object at 0x2b3deb057e18>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057200>, <kernel.DependentProduct object at 0x2b3deb05c098>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057cf8>, <kernel.DependentProduct object at 0x2b3deb05c128>) of role type named sy_c_If_001t__Rat__Orat
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057e18>, <kernel.DependentProduct object at 0x2b3deb05c098>) of role type named sy_c_If_001t__Real__Oreal
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring if_real:(Prop->(real->(real->real)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057cf8>, <kernel.DependentProduct object at 0x2b3deb05c098>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057e18>, <kernel.DependentProduct object at 0x2b3deb05c098>) of role type named sy_c_If_001t__VEBT____Definitions__OVEBT
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring if_VEBT_VEBT:(Prop->(vEBT_VEBT->(vEBT_VEBT->vEBT_VEBT)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057cf8>, <kernel.DependentProduct object at 0x2b3deb05c320>) of role type named sy_c_Int_OAbs__Integ
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring abs_Integ:(product_prod_nat_nat->int)
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b3deb057cf8>, <kernel.DependentProduct object at 0x2b3deb05c200>) of role type named sy_c_Int_ORep__Integ
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring rep_Integ:(int->product_prod_nat_nat)
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b3deb05c0e0>, <kernel.DependentProduct object at 0x2b3deb05c050>) of role type named sy_c_Int_Oint__ge__less__than
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring int_ge_less_than:(int->set_Pr958786334691620121nt_int)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c290>, <kernel.DependentProduct object at 0x2b3deb05c200>) of role type named sy_c_Int_Oint__ge__less__than2
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring int_ge_less_than2:(int->set_Pr958786334691620121nt_int)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c2d8>, <kernel.DependentProduct object at 0x2b3deb05c368>) of role type named sy_c_Int_Onat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring nat2:(int->nat)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c200>, <kernel.DependentProduct object at 0x2b3deb05c0e0>) of role type named sy_c_Int_Opower__int_001t__Real__Oreal
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring power_int_real:(real->(int->real))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c3f8>, <kernel.Constant object at 0x2b3deb05c0e0>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Real__Oreal
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring ring_1_Ints_real:set_real
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c200>, <kernel.DependentProduct object at 0x2b3deb05c098>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c0e0>, <kernel.DependentProduct object at 0x2b3deb05c518>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c368>, <kernel.DependentProduct object at 0x2b3deb05c5a8>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring ring_1_of_int_int:(int->int)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c440>, <kernel.DependentProduct object at 0x2b3deb05c5f0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Rat__Orat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring ring_1_of_int_rat:(int->rat)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c4d0>, <kernel.DependentProduct object at 0x2b3deb05c638>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring ring_1_of_int_real:(int->real)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c440>, <kernel.DependentProduct object at 0x2b3deb05c4d0>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Extended____Nat__Oenat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring inf_in1870772243966228564d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c680>, <kernel.DependentProduct object at 0x2b3deb05c638>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Nat__Onat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring inf_inf_nat:(nat->(nat->nat))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c440>, <kernel.DependentProduct object at 0x2b3deb05c758>) of role type named sy_c_Lattices_Osemilattice__neutr__order_001t__Nat__Onat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring semila1623282765462674594er_nat:((nat->(nat->nat))->(nat->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c638>, <kernel.DependentProduct object at 0x2b3deb05c440>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Extended____Nat__Oenat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring sup_su3973961784419623482d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c830>, <kernel.DependentProduct object at 0x2b3deb05c758>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring sup_sup_nat:(nat->(nat->nat))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c5f0>, <kernel.DependentProduct object at 0x2b3deb05c638>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring sup_sup_set_nat:(set_nat->(set_nat->set_nat))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c830>, <kernel.DependentProduct object at 0x2b3deb05c7e8>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c518>, <kernel.DependentProduct object at 0x2b3deb05c758>) of role type named sy_c_Limits_OBfun_001t__Nat__Onat_001t__Real__Oreal
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring bfun_nat_real:((nat->real)->(filter_nat->Prop))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c7e8>, <kernel.Constant object at 0x2b3deb05c758>) of role type named sy_c_Limits_Oat__infinity_001t__Real__Oreal
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring at_infinity_real:filter_real
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c320>, <kernel.DependentProduct object at 0x2b3deb05c7e8>) of role type named sy_c_List_Oappend_001t__Int__Oint
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring append_int:(list_int->(list_int->list_int))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c998>, <kernel.DependentProduct object at 0x2b3deb05c758>) of role type named sy_c_List_Oappend_001t__Nat__Onat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring append_nat:(list_nat->(list_nat->list_nat))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05ca70>, <kernel.DependentProduct object at 0x2b3deb05cb48>) of role type named sy_c_List_Odistinct_001t__Int__Oint
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring distinct_int:(list_int->Prop)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05cab8>, <kernel.DependentProduct object at 0x2b3deb05c5f0>) of role type named sy_c_List_Odistinct_001t__Nat__Onat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring distinct_nat:(list_nat->Prop)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c320>, <kernel.DependentProduct object at 0x2b3deb05ca70>) of role type named sy_c_List_Odrop_001t__Nat__Onat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring drop_nat:(nat->(list_nat->list_nat))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c518>, <kernel.DependentProduct object at 0x2b3deb05cb90>) of role type named sy_c_List_Olinorder__class_Osort__key_001t__Int__Oint_001t__Int__Oint
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring linord1735203802627413978nt_int:((int->int)->(list_int->list_int))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c320>, <kernel.DependentProduct object at 0x2b3deb05cab8>) of role type named sy_c_List_Olinorder__class_Osort__key_001t__Nat__Onat_001t__Nat__Onat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring linord738340561235409698at_nat:((nat->nat)->(list_nat->list_nat))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05cb90>, <kernel.DependentProduct object at 0x2b3deb05c758>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c518>, <kernel.DependentProduct object at 0x2b3deb05cab8>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring cons_int:(int->(list_int->list_int))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05cd40>, <kernel.DependentProduct object at 0x2b3deb05cb90>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05cd88>, <kernel.Constant object at 0x2b3deb05cb90>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring nil_int:list_int
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05cab8>, <kernel.Constant object at 0x2b3deb05cb90>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring nil_nat:list_nat
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c998>, <kernel.DependentProduct object at 0x2b3deb05cea8>) of role type named sy_c_List_Olist_Ohd_001t__Nat__Onat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring hd_nat:(list_nat->nat)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05ce18>, <kernel.DependentProduct object at 0x2b3deb05cea8>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__Nat__Onat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring map_nat_nat:((nat->nat)->(list_nat->list_nat))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05cd88>, <kernel.DependentProduct object at 0x2b3deb05cef0>) of role type named sy_c_List_Olist_Oset_001_Eo
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring set_o2:(list_o->set_o)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05cb48>, <kernel.DependentProduct object at 0x2b3deb05c758>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring set_complex2:(list_complex->set_complex)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05cab8>, <kernel.DependentProduct object at 0x2b3deb05cf80>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring set_int2:(list_int->set_int)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05cea8>, <kernel.DependentProduct object at 0x2b3deb05cfc8>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring set_nat2:(list_nat->set_nat)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05cab8>, <kernel.DependentProduct object at 0x2b3deb05d050>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring set_Pr5648618587558075414at_nat:(list_P6011104703257516679at_nat->set_Pr1261947904930325089at_nat)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05cf80>, <kernel.DependentProduct object at 0x2b3deb05d0e0>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring set_real2:(list_real->set_real)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05cb48>, <kernel.DependentProduct object at 0x2b3deb05d128>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05cfc8>, <kernel.DependentProduct object at 0x2b3deb05d050>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05c320>, <kernel.DependentProduct object at 0x2b3deb05d0e0>) of role type named sy_c_List_Olist_Otl_001t__Nat__Onat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring tl_nat:(list_nat->list_nat)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05cfc8>, <kernel.DependentProduct object at 0x2b3deb05d200>) of role type named sy_c_List_Olist__update_001_Eo
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring list_update_o:(list_o->(nat->(Prop->list_o)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05cf80>, <kernel.DependentProduct object at 0x2b3deb05d1b8>) of role type named sy_c_List_Olist__update_001t__Complex__Ocomplex
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring list_update_complex:(list_complex->(nat->(complex->list_complex)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05cfc8>, <kernel.DependentProduct object at 0x2b3deb05d050>) of role type named sy_c_List_Olist__update_001t__Int__Oint
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring list_update_int:(list_int->(nat->(int->list_int)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05cfc8>, <kernel.DependentProduct object at 0x2b3deb05d170>) of role type named sy_c_List_Olist__update_001t__Nat__Onat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring list_update_nat:(list_nat->(nat->(nat->list_nat)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05d368>, <kernel.DependentProduct object at 0x2b3deb05d248>) of role type named sy_c_List_Olist__update_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring list_u6180841689913720943at_nat:(list_P6011104703257516679at_nat->(nat->(product_prod_nat_nat->list_P6011104703257516679at_nat)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05d3f8>, <kernel.DependentProduct object at 0x2b3deb05d170>) of role type named sy_c_List_Olist__update_001t__Real__Oreal
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring list_update_real:(list_real->(nat->(real->list_real)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05d368>, <kernel.DependentProduct object at 0x2b3deb05d3f8>) of role type named sy_c_List_Olist__update_001t__VEBT____Definitions__OVEBT
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring list_u1324408373059187874T_VEBT:(list_VEBT_VEBT->(nat->(vEBT_VEBT->list_VEBT_VEBT)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05d4d0>, <kernel.DependentProduct object at 0x2b3deb05d170>) of role type named sy_c_List_Onth_001_Eo
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring nth_o:(list_o->(nat->Prop))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2b3deb05d440>, <kernel.DependentProduct object at 0x2b3deb05d368>) of role type named sy_c_List_Onth_001t__Code____Numeral__Ointeger
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring nth_Code_integer:(list_Code_integer->(nat->code_integer))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05d518>, <kernel.DependentProduct object at 0x2b3deb05d4d0>) of role type named sy_c_List_Onth_001t__Complex__Ocomplex
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring nth_complex:(list_complex->(nat->complex))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05d200>, <kernel.DependentProduct object at 0x2b3deb05d518>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring nth_int:(list_int->(nat->int))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05d320>, <kernel.DependentProduct object at 0x2b3deb05d4d0>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring nth_nat:(list_nat->(nat->nat))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05d3f8>, <kernel.DependentProduct object at 0x2b3deb05d200>) of role type named sy_c_List_Onth_001t__Num__Onum
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring nth_num:(list_num->(nat->num))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05d368>, <kernel.DependentProduct object at 0x2b3deb05d440>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring nth_Product_prod_o_o:(list_P4002435161011370285od_o_o->(nat->product_prod_o_o))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05d320>, <kernel.DependentProduct object at 0x2b3deb05d368>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring nth_Pr1649062631805364268_o_int:(list_P3795440434834930179_o_int->(nat->product_prod_o_int))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05d440>, <kernel.DependentProduct object at 0x2b3deb05d320>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring nth_Pr5826913651314560976_o_nat:(list_P6285523579766656935_o_nat->(nat->product_prod_o_nat))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05d368>, <kernel.DependentProduct object at 0x2b3deb05d440>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring nth_Pr6777367263587873994T_VEBT:(list_P7495141550334521929T_VEBT->(nat->produc2504756804600209347T_VEBT))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05d320>, <kernel.DependentProduct object at 0x2b3deb05d368>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring nth_Pr8522763379788166057eger_o:(list_P8526636022914148096eger_o->(nat->produc6271795597528267376eger_o))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05d440>, <kernel.DependentProduct object at 0x2b3deb05d320>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring nth_Pr7617993195940197384at_nat:(list_P6011104703257516679at_nat->(nat->product_prod_nat_nat))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05d368>, <kernel.DependentProduct object at 0x2b3deb05d440>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring nth_Pr6456567536196504476um_num:(list_P3744719386663036955um_num->(nat->product_prod_num_num))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05d320>, <kernel.DependentProduct object at 0x2b3deb05d368>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05d440>, <kernel.DependentProduct object at 0x2b3deb05d320>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring nth_Pr6837108013167703752BT_int:(list_P4547456442757143711BT_int->(nat->produc4894624898956917775BT_int))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05d368>, <kernel.DependentProduct object at 0x2b3deb05d440>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring nth_Pr1791586995822124652BT_nat:(list_P7037539587688870467BT_nat->(nat->produc9072475918466114483BT_nat))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05d320>, <kernel.DependentProduct object at 0x2b3deb05d368>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05d5f0>, <kernel.DependentProduct object at 0x2b3deb05d320>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring nth_real:(list_real->(nat->real))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05dc68>, <kernel.DependentProduct object at 0x2b3deb05d440>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05dbd8>, <kernel.DependentProduct object at 0x2b3deb05dc68>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05dd40>, <kernel.DependentProduct object at 0x2b3deb05d368>) of role type named sy_c_List_Oproduct_001_Eo_001t__Int__Oint
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring product_o_int:(list_o->(list_int->list_P3795440434834930179_o_int))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05dd88>, <kernel.DependentProduct object at 0x2b3deb05d440>) of role type named sy_c_List_Oproduct_001_Eo_001t__Nat__Onat
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring product_o_nat:(list_o->(list_nat->list_P6285523579766656935_o_nat))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05d5f0>, <kernel.DependentProduct object at 0x2b3deb05dd40>) of role type named sy_c_List_Oproduct_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring product_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05dd88>, <kernel.DependentProduct object at 0x2b3deb05d5f0>) of role type named sy_c_List_Oproduct_001t__Code____Numeral__Ointeger_001_Eo
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring produc3607205314601156340eger_o:(list_Code_integer->(list_o->list_P8526636022914148096eger_o))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05ddd0>, <kernel.DependentProduct object at 0x2b3deb05dd40>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001_Eo
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring product_nat_o:(list_nat->(list_o->list_P7333126701944960589_nat_o))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05dd88>, <kernel.DependentProduct object at 0x2b3deb05ddd0>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring produc7156399406898700509T_VEBT:(list_nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05de18>, <kernel.DependentProduct object at 0x2b3deb05dd40>) of role type named sy_c_List_Oproduct_001t__Num__Onum_001t__Num__Onum
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring product_num_num:(list_num->(list_num->list_P3744719386663036955um_num))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05df80>, <kernel.DependentProduct object at 0x2b3deb05dd88>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05de18>, <kernel.DependentProduct object at 0x2b3deb05df80>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring produc7292646706713671643BT_int:(list_VEBT_VEBT->(list_int->list_P4547456442757143711BT_int))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05dd88>, <kernel.DependentProduct object at 0x2b3deb062050>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring produc7295137177222721919BT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05df80>, <kernel.DependentProduct object at 0x2b3deb062128>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05dcf8>, <kernel.DependentProduct object at 0x2b3deb062200>) of role type named sy_c_List_Oremdups_001t__Nat__Onat
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring remdups_nat:(list_nat->list_nat)
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05def0>, <kernel.DependentProduct object at 0x2b3deb0620e0>) of role type named sy_c_List_Oreplicate_001_Eo
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring replicate_o:(nat->(Prop->list_o))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05dcf8>, <kernel.DependentProduct object at 0x2b3deb0621b8>) of role type named sy_c_List_Oreplicate_001t__Complex__Ocomplex
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring replicate_complex:(nat->(complex->list_complex))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05def0>, <kernel.DependentProduct object at 0x2b3deb062098>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring replicate_int:(nat->(int->list_int))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb05def0>, <kernel.DependentProduct object at 0x2b3deb062248>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb062290>, <kernel.DependentProduct object at 0x2b3deb062128>) of role type named sy_c_List_Oreplicate_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring replic4235873036481779905at_nat:(nat->(product_prod_nat_nat->list_P6011104703257516679at_nat))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb0620e0>, <kernel.DependentProduct object at 0x2b3deb062248>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring replicate_real:(nat->(real->list_real))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb062050>, <kernel.DependentProduct object at 0x2b3deb062290>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb0623f8>, <kernel.DependentProduct object at 0x2b3deb062200>) of role type named sy_c_List_Osorted__wrt_001t__Int__Oint
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring sorted_wrt_int:((int->(int->Prop))->(list_int->Prop))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb062290>, <kernel.DependentProduct object at 0x2b3deb062488>) of role type named sy_c_List_Osorted__wrt_001t__Nat__Onat
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring sorted_wrt_nat:((nat->(nat->Prop))->(list_nat->Prop))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb0622d8>, <kernel.DependentProduct object at 0x2b3deb062290>) of role type named sy_c_List_Otake_001t__Nat__Onat
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring take_nat:(nat->(list_nat->list_nat))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb062518>, <kernel.DependentProduct object at 0x2b3deb0623f8>) of role type named sy_c_List_Oupt
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring upt:(nat->(nat->list_nat))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb0625a8>, <kernel.DependentProduct object at 0x2b3deb062488>) of role type named sy_c_List_Oupto
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring upto:(int->(int->list_int))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb062560>, <kernel.DependentProduct object at 0x2b3deb062518>) of role type named sy_c_List_Oupto__aux
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb062098>, <kernel.DependentProduct object at 0x2b3deb0625a8>) of role type named sy_c_List_Oupto__rel
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring upto_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b3deb062638>, <kernel.DependentProduct object at 0x2b3deb062290>) of role type named sy_c_Nat_OSuc
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring suc:(nat->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062488>, <kernel.DependentProduct object at 0x2b3deb062710>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062200>, <kernel.DependentProduct object at 0x2b3deb0627a0>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062098>, <kernel.DependentProduct object at 0x2b3deb062758>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062680>, <kernel.DependentProduct object at 0x2b3deb0627e8>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Option__Ooption_It__Num__Onum_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring case_nat_option_num:(option_num->((nat->option_num)->(nat->option_num)))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062830>, <kernel.DependentProduct object at 0x2b3deb062710>) of role type named sy_c_Nat_Onat_Opred
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring pred:(nat->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062680>, <kernel.DependentProduct object at 0x2b3deb062878>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062710>, <kernel.DependentProduct object at 0x2b3deb062638>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062878>, <kernel.DependentProduct object at 0x2b3deb062908>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Extended____Nat__Oenat
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring semiri4216267220026989637d_enat:(nat->extended_enat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062638>, <kernel.DependentProduct object at 0x2b3deb062998>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062908>, <kernel.DependentProduct object at 0x2b3deb062a28>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062998>, <kernel.DependentProduct object at 0x2b3deb062ab8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062a28>, <kernel.DependentProduct object at 0x2b3deb062b48>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062ab8>, <kernel.DependentProduct object at 0x2b3deb062200>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Complex__Ocomplex
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring semiri2816024913162550771omplex:((complex->complex)->(nat->(complex->complex)))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062b48>, <kernel.DependentProduct object at 0x2b3deb062c20>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Int__Oint
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring semiri8420488043553186161ux_int:((int->int)->(nat->(int->int)))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062200>, <kernel.DependentProduct object at 0x2b3deb062cb0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Nat__Onat
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring semiri8422978514062236437ux_nat:((nat->nat)->(nat->(nat->nat)))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062c20>, <kernel.DependentProduct object at 0x2b3deb062d40>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Rat__Orat
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring semiri7787848453975740701ux_rat:((rat->rat)->(nat->(rat->rat)))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062cb0>, <kernel.DependentProduct object at 0x2b3deb062dd0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Real__Oreal
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring semiri7260567687927622513x_real:((real->real)->(nat->(real->real)))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062e60>, <kernel.DependentProduct object at 0x2b3deb062f38>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_size_list_o:(list_o->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062cb0>, <kernel.DependentProduct object at 0x2b3deb062ef0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_s3445333598471063425nteger:(list_Code_integer->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062f38>, <kernel.DependentProduct object at 0x2b3deb062f80>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062c68>, <kernel.DependentProduct object at 0x2b3deb065050>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_size_list_int:(list_int->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062d40>, <kernel.DependentProduct object at 0x2b3deb065098>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_size_list_nat:(list_nat->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062f80>, <kernel.DependentProduct object at 0x2b3deb0650e0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Num__Onum_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_size_list_num:(list_num->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062d40>, <kernel.DependentProduct object at 0x2b3deb065128>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_s1515746228057227161od_o_o:(list_P4002435161011370285od_o_o->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062d40>, <kernel.DependentProduct object at 0x2b3deb0651b8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_s2953683556165314199_o_int:(list_P3795440434834930179_o_int->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb062b00>, <kernel.DependentProduct object at 0x2b3deb065248>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_s5443766701097040955_o_nat:(list_P6285523579766656935_o_nat->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb065170>, <kernel.DependentProduct object at 0x2b3deb0652d8>) 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
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_s4313452262239582901T_VEBT:(list_P7495141550334521929T_VEBT->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb065050>, <kernel.DependentProduct object at 0x2b3deb065368>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_s6491369823275344609_nat_o:(list_P7333126701944960589_nat_o->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb065200>, <kernel.DependentProduct object at 0x2b3deb0653f8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_s5460976970255530739at_nat:(list_P6011104703257516679at_nat->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb0650e0>, <kernel.DependentProduct object at 0x2b3deb065488>) 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
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_s4762443039079500285T_VEBT:(list_P5647936690300460905T_VEBT->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb065200>, <kernel.DependentProduct object at 0x2b3deb065518>) 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
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_s9168528473962070013VEBT_o:(list_P3126845725202233233VEBT_o->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb065488>, <kernel.DependentProduct object at 0x2b3deb0655a8>) 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
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_s3661962791536183091BT_int:(list_P4547456442757143711BT_int->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb065518>, <kernel.DependentProduct object at 0x2b3deb065638>) 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
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_s6152045936467909847BT_nat:(list_P7037539587688870467BT_nat->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb0655a8>, <kernel.DependentProduct object at 0x2b3deb0656c8>) 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
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_s7466405169056248089T_VEBT:(list_P7413028617227757229T_VEBT->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb0655f0>, <kernel.DependentProduct object at 0x2b3deb065758>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_size_list_real:(list_real->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb0655a8>, <kernel.DependentProduct object at 0x2b3deb0657a0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb065488>, <kernel.DependentProduct object at 0x2b3deb065830>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_size_num:(num->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb0656c8>, <kernel.DependentProduct object at 0x2b3deb065878>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_size_option_num:(option_num->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb065488>, <kernel.DependentProduct object at 0x2b3deb0658c0>) 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
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb065830>, <kernel.DependentProduct object at 0x2b3deb065950>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb065290>, <kernel.DependentProduct object at 0x2b3deb0659e0>) of role type named sy_c_Nat__Bijection_Olist__encode
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring nat_list_encode:(list_nat->nat)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb0658c0>, <kernel.DependentProduct object at 0x2b3deb065488>) of role type named sy_c_Nat__Bijection_Olist__encode__rel
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring nat_list_encode_rel:(list_nat->(list_nat->Prop))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb0655a8>, <kernel.DependentProduct object at 0x2b3deb065950>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b3deb0658c0>, <kernel.DependentProduct object at 0x2b3deb0655a8>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b3deb065758>, <kernel.DependentProduct object at 0x2b3deb065b48>) of role type named sy_c_Nat__Bijection_Oprod__encode
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring nat_prod_encode:(product_prod_nat_nat->nat)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b3deb0659e0>, <kernel.DependentProduct object at 0x2b3deb065b90>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring nat_set_decode:(nat->set_nat)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b3deb065830>, <kernel.DependentProduct object at 0x2b3deb065bd8>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring nat_set_encode:(set_nat->nat)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b3deb065908>, <kernel.DependentProduct object at 0x2b3deb065c20>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring nat_triangle:(nat->nat)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b3deb065b48>, <kernel.DependentProduct object at 0x2b3deb065950>) of role type named sy_c_NthRoot_Oroot
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring root:(nat->(real->real))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b3deb0659e0>, <kernel.DependentProduct object at 0x2b3deb065c68>) of role type named sy_c_NthRoot_Osqrt
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring sqrt:(real->real)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b3deb065b90>, <kernel.DependentProduct object at 0x2b3deb065c20>) of role type named sy_c_Num_OBitM
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring bitM:(num->num)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b3deb065908>, <kernel.DependentProduct object at 0x2b3deb065cf8>) of role type named sy_c_Num_Oinc
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring inc:(num->num)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b3deb065b90>, <kernel.DependentProduct object at 0x2b3deb065d40>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b3deb065cf8>, <kernel.DependentProduct object at 0x2b3deb065dd0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b3deb065950>, <kernel.DependentProduct object at 0x2b3deb065e60>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring neg_numeral_dbl_int:(int->int)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b3deb0659e0>, <kernel.DependentProduct object at 0x2b3deb065ea8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b3deb065d88>, <kernel.DependentProduct object at 0x2b3deb065ef0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring neg_numeral_dbl_real:(real->real)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b3deb0659e0>, <kernel.DependentProduct object at 0x2b3deb065f38>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b3deb065ef0>, <kernel.DependentProduct object at 0x2b3deb065fc8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b3deb065f38>, <kernel.DependentProduct object at 0xf7c098>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b3deb065fc8>, <kernel.DependentProduct object at 0xf7c128>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b3deb065fc8>, <kernel.DependentProduct object at 0xf7c1b8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2b3deb065ef0>, <kernel.DependentProduct object at 0xf7c248>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Code____Numeral__Ointeger
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring neg_nu5831290666863070958nteger:(code_integer->code_integer)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c128>, <kernel.DependentProduct object at 0xf7c2d8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Complex__Ocomplex
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring neg_nu8557863876264182079omplex:(complex->complex)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c098>, <kernel.DependentProduct object at 0xf7c368>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Int__Oint
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring neg_nu5851722552734809277nc_int:(int->int)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c1b8>, <kernel.DependentProduct object at 0xf7c3f8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Rat__Orat
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring neg_nu5219082963157363817nc_rat:(rat->rat)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c050>, <kernel.DependentProduct object at 0xf7c488>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Real__Oreal
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring neg_nu8295874005876285629c_real:(real->real)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c128>, <kernel.DependentProduct object at 0xf7c1b8>) of role type named sy_c_Num_Oneg__numeral__class_Osub_001t__Int__Oint
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring neg_numeral_sub_int:(num->(num->int))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c518>, <kernel.DependentProduct object at 0xf7c560>) of role type named sy_c_Num_Onum_OBit0
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring bit0:(num->num)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c440>, <kernel.DependentProduct object at 0xf7c368>) of role type named sy_c_Num_Onum_OBit1
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring bit1:(num->num)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c488>, <kernel.Constant object at 0xf7c368>) of role type named sy_c_Num_Onum_OOne
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring one:num
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c560>, <kernel.DependentProduct object at 0xf7c6c8>) of role type named sy_c_Num_Onum_Ocase__num_001t__Option__Ooption_It__Num__Onum_J
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring case_num_option_num:(option_num->((num->option_num)->((num->option_num)->(num->option_num))))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c680>, <kernel.DependentProduct object at 0xf7c638>) of role type named sy_c_Num_Onum_Osize__num
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring size_num:(num->nat)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c050>, <kernel.DependentProduct object at 0xf7c440>) of role type named sy_c_Num_Onum__of__nat
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring num_of_nat:(nat->num)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c680>, <kernel.DependentProduct object at 0xf7c128>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c440>, <kernel.DependentProduct object at 0xf7c7a0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring numera6690914467698888265omplex:(num->complex)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c128>, <kernel.DependentProduct object at 0xf7c830>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c368>, <kernel.DependentProduct object at 0xf7c8c0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring numeral_numeral_int:(num->int)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c7e8>, <kernel.DependentProduct object at 0xf7c908>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring numeral_numeral_nat:(num->nat)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c1b8>, <kernel.DependentProduct object at 0xf7c950>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring numeral_numeral_rat:(num->rat)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c830>, <kernel.DependentProduct object at 0xf7c998>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring numeral_numeral_real:(num->real)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c8c0>, <kernel.DependentProduct object at 0xf7c1b8>) of role type named sy_c_Num_Opow
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring pow:(num->(num->num))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c9e0>, <kernel.DependentProduct object at 0xf7ca28>) of role type named sy_c_Num_Opred__numeral
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring pred_numeral:(num->nat)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c950>, <kernel.DependentProduct object at 0xf7c908>) of role type named sy_c_Num_Osqr
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring sqr:(num->num)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c998>, <kernel.Constant object at 0xf7c908>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring none_num:option_num
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c950>, <kernel.Constant object at 0xf7ca28>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c8c0>, <kernel.DependentProduct object at 0xf7cb90>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring some_num:(num->option_num)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7c950>, <kernel.DependentProduct object at 0xf7c8c0>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7cb90>, <kernel.DependentProduct object at 0xf7cc68>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7ccb0>, <kernel.DependentProduct object at 0xf7cd88>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Int__Oint_001t__Num__Onum
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring case_option_int_num:(int->((num->int)->(option_num->int)))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7cd40>, <kernel.DependentProduct object at 0xf7cdd0>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7ccb0>, <kernel.DependentProduct object at 0xf7c950>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7ce60>, <kernel.DependentProduct object at 0xf7cbd8>) of role type named sy_c_Option_Ooption_Omap__option_001t__Num__Onum_001t__Num__Onum
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring map_option_num_num:((num->num)->(option_num->option_num))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7cdd0>, <kernel.DependentProduct object at 0xf7ce18>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7ce60>, <kernel.DependentProduct object at 0xf7cea8>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7ccb0>, <kernel.DependentProduct object at 0xf7c950>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_Eo_J
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring bot_bot_nat_o:(nat->Prop)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7ce60>, <kernel.Constant object at 0xf7cef0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Extended____Nat__Oenat
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring bot_bo4199563552545308370d_enat:extended_enat
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7cea8>, <kernel.Constant object at 0xf7cef0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring bot_bot_nat:nat
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7cbd8>, <kernel.Constant object at 0xf7cef0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring bot_bot_set_complex:set_complex
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7cea8>, <kernel.Constant object at 0xf7ce18>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring bot_bo7653980558646680370d_enat:set_Extended_enat
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7cfc8>, <kernel.Constant object at 0xf7cf80>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring bot_bot_set_int:set_int
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7cef0>, <kernel.Constant object at 0xf62050>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring bot_bot_set_nat:set_nat
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7cfc8>, <kernel.Constant object at 0xf620e0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Num__Onum_J
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring bot_bot_set_num:set_num
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf62098>, <kernel.Constant object at 0xf62128>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring bot_bo2099793752762293965at_nat:set_Pr1261947904930325089at_nat
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7cfc8>, <kernel.Constant object at 0xf62128>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Rat__Orat_J
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring bot_bot_set_rat:set_rat
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf7cfc8>, <kernel.Constant object at 0xf62128>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring bot_bot_set_real:set_real
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf62248>, <kernel.Constant object at 0xf62128>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring bot_bot_set_set_int:set_set_int
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf62098>, <kernel.Constant object at 0xf62170>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring bot_bo8194388402131092736T_VEBT:set_VEBT_VEBT
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf62128>, <kernel.DependentProduct object at 0xf62098>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf62170>, <kernel.DependentProduct object at 0xf62128>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf62488>, <kernel.DependentProduct object at 0xf62098>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring ord_less_int:(int->(int->Prop))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf62518>, <kernel.DependentProduct object at 0xf62170>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0xf622d8>, <kernel.DependentProduct object at 0xf62488>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_num:(num->(num->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf623b0>, <kernel.DependentProduct object at 0xf62518>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62128>, <kernel.DependentProduct object at 0xf622d8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_real:(real->(real->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf623b0>, <kernel.DependentProduct object at 0xf62128>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_le1307284697595431911nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62170>, <kernel.DependentProduct object at 0xf622d8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62710>, <kernel.DependentProduct object at 0xf623b0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62518>, <kernel.DependentProduct object at 0xf62170>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62098>, <kernel.DependentProduct object at 0xf62710>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62518>, <kernel.DependentProduct object at 0xf623b0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_le7866589430770878221at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62878>, <kernel.DependentProduct object at 0xf62710>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf628c0>, <kernel.DependentProduct object at 0xf62518>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf622d8>, <kernel.DependentProduct object at 0xf62878>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_set_set_int:(set_set_int->(set_set_int->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf628c0>, <kernel.DependentProduct object at 0xf62a28>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_le4573692005234683329plex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62710>, <kernel.DependentProduct object at 0xf62ab8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_Eo_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_eq_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62a28>, <kernel.DependentProduct object at 0xf62b00>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_Eo_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_eq_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62710>, <kernel.DependentProduct object at 0xf62b48>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_le704812498762024988_nat_o:((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf622d8>, <kernel.DependentProduct object at 0xf62bd8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Real__Oreal_M_Eo_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_eq_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62710>, <kernel.DependentProduct object at 0xf622d8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62bd8>, <kernel.DependentProduct object at 0xf62710>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf622d8>, <kernel.DependentProduct object at 0xf62bd8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_le2510731241096832064er_nat:(filter_nat->(filter_nat->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62710>, <kernel.DependentProduct object at 0xf622d8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Real__Oreal_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_le4104064031414453916r_real:(filter_real->(filter_real->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62d40>, <kernel.DependentProduct object at 0xf62bd8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62dd0>, <kernel.DependentProduct object at 0xf62710>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62c20>, <kernel.DependentProduct object at 0xf62d40>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62cb0>, <kernel.DependentProduct object at 0xf62dd0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf622d8>, <kernel.DependentProduct object at 0xf62c20>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62cb0>, <kernel.DependentProduct object at 0xf622d8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_le7084787975880047091nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62c20>, <kernel.DependentProduct object at 0xf62cb0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62fc8>, <kernel.DependentProduct object at 0xf66050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62c20>, <kernel.DependentProduct object at 0xf66128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_le6045566169113846134st_nat:(set_list_nat->(set_list_nat->Prop))
% 0.48/0.68 FOF formula (<kernel.Constant object at 0xf62cb0>, <kernel.DependentProduct object at 0xf660e0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.48/0.68 Using role type
% 0.48/0.68 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf62710>, <kernel.DependentProduct object at 0xf66200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Num__Onum_J
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring ord_less_eq_set_num:(set_num->(set_num->Prop))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66050>, <kernel.DependentProduct object at 0xf66098>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring ord_le3146513528884898305at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf62710>, <kernel.DependentProduct object at 0xf66248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Rat__Orat_J
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring ord_less_eq_set_rat:(set_rat->(set_rat->Prop))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf62710>, <kernel.DependentProduct object at 0xf661b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66290>, <kernel.DependentProduct object at 0xf66200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring ord_le4403425263959731960et_int:(set_set_int->(set_set_int->Prop))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf661b8>, <kernel.DependentProduct object at 0xf66290>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf663b0>, <kernel.DependentProduct object at 0xf66200>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Code____Numeral__Ointeger
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring ord_max_Code_integer:(code_integer->(code_integer->code_integer))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf661b8>, <kernel.DependentProduct object at 0xf663b0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Extended____Nat__Oenat
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring ord_ma741700101516333627d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf664d0>, <kernel.DependentProduct object at 0xf66200>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring ord_max_int:(int->(int->int))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66488>, <kernel.DependentProduct object at 0xf661b8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring ord_max_nat:(nat->(nat->nat))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf665a8>, <kernel.DependentProduct object at 0xf664d0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Num__Onum
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring ord_max_num:(num->(num->num))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf663f8>, <kernel.DependentProduct object at 0xf66488>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Rat__Orat
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring ord_max_rat:(rat->(rat->rat))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66440>, <kernel.DependentProduct object at 0xf665a8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Real__Oreal
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring ord_max_real:(real->(real->real))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf663b0>, <kernel.DependentProduct object at 0xf663f8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Int__Oint_J
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring ord_max_set_int:(set_int->(set_int->set_int))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66440>, <kernel.DependentProduct object at 0xf663b0>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Extended____Nat__Oenat
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring ord_mi8085742599997312461d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf661b8>, <kernel.DependentProduct object at 0xf663f8>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Nat__Onat
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring ord_min_nat:(nat->(nat->nat))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66200>, <kernel.DependentProduct object at 0xf667e8>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Nat__Onat
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring order_Greatest_nat:((nat->Prop)->nat)
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf661b8>, <kernel.DependentProduct object at 0xf66440>) of role type named sy_c_Orderings_Oorder__class_Oantimono_001t__Nat__Onat_001t__Real__Oreal
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring order_9091379641038594480t_real:((nat->real)->Prop)
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66560>, <kernel.DependentProduct object at 0xf66878>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66830>, <kernel.DependentProduct object at 0xf667e8>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Real__Oreal
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring order_mono_nat_real:((nat->real)->Prop)
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66560>, <kernel.DependentProduct object at 0xf661b8>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Nat__Onat
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring order_5726023648592871131at_nat:((nat->nat)->Prop)
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf663b0>, <kernel.Constant object at 0xf661b8>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_Eo_J
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring top_top_set_o:set_o
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf668c0>, <kernel.Constant object at 0xf661b8>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring top_top_set_nat:set_nat
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf663b0>, <kernel.Constant object at 0xf66908>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Ounit_J
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring top_to1996260823553986621t_unit:set_Product_unit
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66998>, <kernel.Constant object at 0xf66908>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring top_top_set_real:set_real
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66a28>, <kernel.Constant object at 0xf66908>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring top_top_set_char:set_char
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66998>, <kernel.DependentProduct object at 0xf66a28>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66b90>, <kernel.DependentProduct object at 0xf66908>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring power_power_complex:(complex->(nat->complex))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66a70>, <kernel.DependentProduct object at 0xf66998>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring power_power_int:(int->(nat->int))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66c68>, <kernel.DependentProduct object at 0xf66b90>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring power_power_nat:(nat->(nat->nat))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66ab8>, <kernel.DependentProduct object at 0xf66a70>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring power_power_rat:(rat->(nat->rat))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66b00>, <kernel.DependentProduct object at 0xf66c68>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring power_power_real:(real->(nat->real))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66ab8>, <kernel.DependentProduct object at 0xf66b90>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring produc3209952032786966637at_nat:((nat->(nat->nat))->(produc7248412053542808358at_nat->produc4471711990508489141at_nat))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66c68>, <kernel.DependentProduct object at 0xf66a70>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Num__Onum_Mt__Num__Onum_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring produc851828971589881931at_num:((nat->(num->num))->(produc2963631642982155120at_num->produc3368934014287244435at_num))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66e60>, <kernel.DependentProduct object at 0xf66998>) of role type named sy_c_Product__Type_OPair_001_Eo_001_Eo
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring product_Pair_o_o:(Prop->(Prop->product_prod_o_o))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66c20>, <kernel.DependentProduct object at 0xf66998>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Int__Oint
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring product_Pair_o_int:(Prop->(int->product_prod_o_int))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66a70>, <kernel.DependentProduct object at 0xf66998>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Nat__Onat
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring product_Pair_o_nat:(Prop->(nat->product_prod_o_nat))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66c20>, <kernel.DependentProduct object at 0xf66e18>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring produc2982872950893828659T_VEBT:(Prop->(vEBT_VEBT->produc2504756804600209347T_VEBT))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66998>, <kernel.DependentProduct object at 0xf66c68>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66e18>, <kernel.DependentProduct object at 0xf69098>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66a70>, <kernel.DependentProduct object at 0xf69170>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66c68>, <kernel.DependentProduct object at 0xf69200>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66e18>, <kernel.DependentProduct object at 0xf69248>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Num__Onum
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring product_Pair_nat_num:(nat->(num->product_prod_nat_num))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf69128>, <kernel.DependentProduct object at 0xf69290>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring produc487386426758144856at_nat:(nat->(product_prod_nat_nat->produc7248412053542808358at_nat))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf69200>, <kernel.DependentProduct object at 0xf692d8>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring produc1195630363706982562at_num:(nat->(product_prod_nat_num->produc2963631642982155120at_num))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf66e18>, <kernel.DependentProduct object at 0xf69248>) of role type named sy_c_Product__Type_OPair_001t__Num__Onum_001t__Num__Onum
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring product_Pair_num_num:(num->(num->product_prod_num_num))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf69320>, <kernel.DependentProduct object at 0xf69050>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf69248>, <kernel.DependentProduct object at 0xf69320>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring produc736041933913180425BT_int:(vEBT_VEBT->(int->produc4894624898956917775BT_int))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf69050>, <kernel.DependentProduct object at 0xf69248>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf69320>, <kernel.DependentProduct object at 0xf69050>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf69248>, <kernel.DependentProduct object at 0xf69680>) of role type named sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Nat__Onat
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring produc457027306803732586at_nat:(set_nat->((nat->set_nat)->set_Pr1261947904930325089at_nat))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf69050>, <kernel.DependentProduct object at 0xf69488>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.48/0.69 FOF formula (<kernel.Constant object at 0xf69680>, <kernel.DependentProduct object at 0xf69440>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69488>, <kernel.DependentProduct object at 0xf69710>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69440>, <kernel.DependentProduct object at 0xf69518>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring produc7336495610019696514er_num:((code_integer->(code_integer->num))->(produc8923325533196201883nteger->num))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69710>, <kernel.DependentProduct object at 0xf696c8>) 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
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69518>, <kernel.DependentProduct object at 0xf69638>) 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
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf696c8>, <kernel.DependentProduct object at 0xf69758>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69638>, <kernel.DependentProduct object at 0xf69a70>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring produc8211389475949308722nt_int:((int->(int->int))->(product_prod_int_int->int))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69758>, <kernel.DependentProduct object at 0xf69a28>) 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
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69a70>, <kernel.DependentProduct object at 0xf69bd8>) 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
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring produc8739625826339149834_nat_o:((nat->(nat->(product_prod_nat_nat->Prop)))->(product_prod_nat_nat->(product_prod_nat_nat->Prop)))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69a28>, <kernel.DependentProduct object at 0xf69c68>) 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
% 0.48/0.70 Using role type
% 0.48/0.70 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)))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69bd8>, <kernel.DependentProduct object at 0xf69950>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69c68>, <kernel.DependentProduct object at 0xf69908>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring produc1917071388513777916omplex:((nat->(nat->complex))->(product_prod_nat_nat->complex))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69950>, <kernel.DependentProduct object at 0xf69cf8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring produc6840382203811409530at_int:((nat->(nat->int))->(product_prod_nat_nat->int))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69908>, <kernel.DependentProduct object at 0xf69d88>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring produc6842872674320459806at_nat:((nat->(nat->nat))->(product_prod_nat_nat->nat))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69cf8>, <kernel.DependentProduct object at 0xf69e18>) 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
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69d88>, <kernel.DependentProduct object at 0xf69ea8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Rat__Orat
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring produc6207742614233964070at_rat:((nat->(nat->rat))->(product_prod_nat_nat->rat))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69e18>, <kernel.DependentProduct object at 0xf69b00>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Real__Oreal
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring produc1703576794950452218t_real:((nat->(nat->real))->(product_prod_nat_nat->real))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69ea8>, <kernel.DependentProduct object at 0xf69e18>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Option__Ooption_It__Num__Onum_J
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring produc478579273971653890on_num:((nat->(num->option_num))->(product_prod_nat_num->option_num))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69d88>, <kernel.DependentProduct object at 0xf6b098>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69ea8>, <kernel.DependentProduct object at 0xf6b1b8>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69d88>, <kernel.DependentProduct object at 0xf6b200>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring produc6174133586879617921nteger:(produc8923325533196201883nteger->code_integer)
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69ea8>, <kernel.DependentProduct object at 0xf6b290>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69e18>, <kernel.DependentProduct object at 0xf6b2d8>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf69e18>, <kernel.DependentProduct object at 0xf6b050>) of role type named sy_c_Rat_OFract
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring fract:(int->(int->rat))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf6b320>, <kernel.DependentProduct object at 0xf6b368>) of role type named sy_c_Rat_OFrct
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring frct:(product_prod_int_int->rat)
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf6b290>, <kernel.DependentProduct object at 0xf6b098>) of role type named sy_c_Rat_ORep__Rat
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring rep_Rat:(rat->product_prod_int_int)
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf6b320>, <kernel.Constant object at 0xf6b050>) of role type named sy_c_Rat_Ofield__char__0__class_ORats_001t__Real__Oreal
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring field_5140801741446780682s_real:set_real
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf6b368>, <kernel.DependentProduct object at 0xf6b488>) of role type named sy_c_Rat_Onormalize
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf6b2d8>, <kernel.DependentProduct object at 0xf6b4d0>) of role type named sy_c_Rat_Oof__int
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring of_int:(int->rat)
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf6b170>, <kernel.DependentProduct object at 0xf6b320>) of role type named sy_c_Rat_Opositive
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring positive:(rat->Prop)
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf6b368>, <kernel.DependentProduct object at 0xf6b560>) of role type named sy_c_Rat_Oquotient__of
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring quotient_of:(rat->product_prod_int_int)
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf6b170>, <kernel.Constant object at 0xf6b4d0>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Complex__Ocomplex
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring real_V2521375963428798218omplex:set_complex
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf6b560>, <kernel.DependentProduct object at 0xf6b5f0>) of role type named sy_c_Real__Vector__Spaces_Obounded__linear_001t__Real__Oreal_001t__Real__Oreal
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring real_V5970128139526366754l_real:((real->real)->Prop)
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf6b4d0>, <kernel.DependentProduct object at 0xf6b6c8>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf6b5f0>, <kernel.DependentProduct object at 0xf6b758>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring real_V7735802525324610683m_real:(real->real)
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf6b6c8>, <kernel.DependentProduct object at 0xf6b7e8>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf6b758>, <kernel.DependentProduct object at 0xf6b6c8>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Complex__Ocomplex
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring real_V2046097035970521341omplex:(real->(complex->complex))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf6b7e8>, <kernel.DependentProduct object at 0xf6b758>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Real__Oreal
% 0.48/0.70 Using role type
% 0.48/0.70 Declaring real_V1485227260804924795R_real:(real->(real->real))
% 0.48/0.70 FOF formula (<kernel.Constant object at 0xf6b6c8>, <kernel.DependentProduct object at 0xf6b7e8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.48/0.71 Using role type
% 0.48/0.71 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.48/0.71 FOF formula (<kernel.Constant object at 0xf6b758>, <kernel.DependentProduct object at 0xf6b6c8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.48/0.71 Using role type
% 0.48/0.71 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.48/0.71 FOF formula (<kernel.Constant object at 0xf6b320>, <kernel.DependentProduct object at 0xf6b7e8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.48/0.71 Using role type
% 0.48/0.71 Declaring divide_divide_int:(int->(int->int))
% 0.48/0.71 FOF formula (<kernel.Constant object at 0xf6b878>, <kernel.DependentProduct object at 0xf6b758>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.48/0.71 Using role type
% 0.48/0.71 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.48/0.71 FOF formula (<kernel.Constant object at 0xf6bb00>, <kernel.DependentProduct object at 0xf6b320>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.48/0.71 Using role type
% 0.48/0.71 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.48/0.71 FOF formula (<kernel.Constant object at 0xf6b998>, <kernel.DependentProduct object at 0xf6b878>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.48/0.71 Using role type
% 0.48/0.71 Declaring divide_divide_real:(real->(real->real))
% 0.48/0.71 FOF formula (<kernel.Constant object at 0xf6ba28>, <kernel.DependentProduct object at 0xf6bb00>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.48/0.71 Using role type
% 0.48/0.71 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.48/0.71 FOF formula (<kernel.Constant object at 0xf6bab8>, <kernel.DependentProduct object at 0xf6b998>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.48/0.71 Using role type
% 0.48/0.71 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.48/0.71 FOF formula (<kernel.Constant object at 0xf6b758>, <kernel.DependentProduct object at 0xf6ba28>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.48/0.71 Using role type
% 0.48/0.71 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.48/0.71 FOF formula (<kernel.Constant object at 0xf6b320>, <kernel.DependentProduct object at 0xf6bab8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.48/0.71 Using role type
% 0.48/0.71 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.48/0.71 FOF formula (<kernel.Constant object at 0xf6b878>, <kernel.DependentProduct object at 0xf6b758>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.48/0.71 Using role type
% 0.48/0.71 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.48/0.71 FOF formula (<kernel.Constant object at 0xf6bb00>, <kernel.DependentProduct object at 0xf6b320>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.48/0.71 Using role type
% 0.48/0.71 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.48/0.71 FOF formula (<kernel.Constant object at 0xf6b878>, <kernel.DependentProduct object at 0xf6bb00>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.48/0.71 Using role type
% 0.48/0.71 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.48/0.71 FOF formula (<kernel.Constant object at 0xf6b6c8>, <kernel.DependentProduct object at 0xf6b320>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring modulo_modulo_int:(int->(int->int))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6b998>, <kernel.DependentProduct object at 0xf6b878>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6b6c8>, <kernel.DependentProduct object at 0xf6bef0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6b878>, <kernel.DependentProduct object at 0xf6ba28>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6bef0>, <kernel.DependentProduct object at 0xf6bf80>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6ba28>, <kernel.DependentProduct object at 0xf6e050>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6bf80>, <kernel.DependentProduct object at 0xf6e0e0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6bf80>, <kernel.DependentProduct object at 0xf6e170>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6bef0>, <kernel.DependentProduct object at 0xf6e200>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring suminf_complex:((nat->complex)->complex)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6bef0>, <kernel.DependentProduct object at 0xf6e1b8>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring suminf_int:((nat->int)->int)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6bef0>, <kernel.DependentProduct object at 0xf6e0e0>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring suminf_nat:((nat->nat)->nat)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6bef0>, <kernel.DependentProduct object at 0xf6e200>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring suminf_real:((nat->real)->real)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e320>, <kernel.DependentProduct object at 0xf6e0e0>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring summable_complex:((nat->complex)->Prop)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e2d8>, <kernel.DependentProduct object at 0xf6e290>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring summable_int:((nat->int)->Prop)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e170>, <kernel.DependentProduct object at 0xf6e050>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring summable_nat:((nat->nat)->Prop)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e368>, <kernel.DependentProduct object at 0xf6e320>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring summable_real:((nat->real)->Prop)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e3b0>, <kernel.DependentProduct object at 0xf6e3f8>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e1b8>, <kernel.DependentProduct object at 0xf6e488>) of role type named sy_c_Series_Osums_001t__Int__Oint
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring sums_int:((nat->int)->(int->Prop))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e320>, <kernel.DependentProduct object at 0xf6e050>) of role type named sy_c_Series_Osums_001t__Nat__Onat
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring sums_nat:((nat->nat)->(nat->Prop))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e440>, <kernel.DependentProduct object at 0xf6e518>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring sums_real:((nat->real)->(real->Prop))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e050>, <kernel.DependentProduct object at 0xf6e5f0>) of role type named sy_c_Set_OCollect_001t__Code____Numeral__Ointeger
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring collect_Code_integer:((code_integer->Prop)->set_Code_integer)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e518>, <kernel.DependentProduct object at 0xf6e1b8>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e488>, <kernel.DependentProduct object at 0xf6e680>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring collect_int:((int->Prop)->set_int)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e368>, <kernel.DependentProduct object at 0xf6e518>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e3b0>, <kernel.DependentProduct object at 0xf6e710>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e680>, <kernel.DependentProduct object at 0xf6e758>) of role type named sy_c_Set_OCollect_001t__Num__Onum
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring collect_num:((num->Prop)->set_num)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e1b8>, <kernel.DependentProduct object at 0xf6e3b0>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e680>, <kernel.DependentProduct object at 0xf6e1b8>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring collec3392354462482085612at_nat:((product_prod_nat_nat->Prop)->set_Pr1261947904930325089at_nat)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e320>, <kernel.DependentProduct object at 0xf6e8c0>) of role type named sy_c_Set_OCollect_001t__Rat__Orat
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring collect_rat:((rat->Prop)->set_rat)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e638>, <kernel.DependentProduct object at 0xf6e908>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring collect_real:((real->Prop)->set_real)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e6c8>, <kernel.DependentProduct object at 0xf6e1b8>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Int__Oint_J
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring collect_set_int:((set_int->Prop)->set_set_int)
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e908>, <kernel.DependentProduct object at 0xf6e878>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e320>, <kernel.DependentProduct object at 0xf6e830>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Int__Oint
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring image_nat_int:((nat->int)->(set_nat->set_int))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e6c8>, <kernel.DependentProduct object at 0xf6e950>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e908>, <kernel.DependentProduct object at 0xf6e998>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Real__Oreal
% 0.55/0.71 Using role type
% 0.55/0.71 Declaring image_nat_real:((nat->real)->(set_nat->set_real))
% 0.55/0.71 FOF formula (<kernel.Constant object at 0xf6e320>, <kernel.DependentProduct object at 0xf6e680>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring image_nat_set_nat:((nat->set_nat)->(set_nat->set_set_nat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf6e6c8>, <kernel.DependentProduct object at 0xf6e1b8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf6e908>, <kernel.DependentProduct object at 0xf6e878>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf6e320>, <kernel.DependentProduct object at 0xf6e830>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf6e6c8>, <kernel.DependentProduct object at 0xf6e908>) of role type named sy_c_Set_Oinsert_001t__Complex__Ocomplex
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring insert_complex:(complex->(set_complex->set_complex))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf6e758>, <kernel.DependentProduct object at 0xf6e6c8>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring insert_int:(int->(set_int->set_int))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf6e680>, <kernel.DependentProduct object at 0xf6e908>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf6e320>, <kernel.DependentProduct object at 0xf6e6c8>) of role type named sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring insert8211810215607154385at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf6e950>, <kernel.DependentProduct object at 0xf6e320>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring insert_real:(real->(set_real->set_real))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf6ed40>, <kernel.DependentProduct object at 0xf6e680>) of role type named sy_c_Set_Oinsert_001t__VEBT____Definitions__OVEBT
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring insert_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf6e6c8>, <kernel.DependentProduct object at 0xf6ed88>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Complex__Ocomplex
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_fo1517530859248394432omplex:((nat->(complex->complex))->(nat->(nat->(complex->complex))))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf6e680>, <kernel.DependentProduct object at 0xf6ecf8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Int__Oint
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_fo2581907887559384638at_int:((nat->(int->int))->(nat->(nat->(int->int))))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf6ed88>, <kernel.DependentProduct object at 0xf6e878>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf6ecf8>, <kernel.DependentProduct object at 0xf6ed40>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Rat__Orat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_fo1949268297981939178at_rat:((nat->(rat->rat))->(nat->(nat->(rat->rat))))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf6e878>, <kernel.DependentProduct object at 0xf6e320>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Real__Oreal
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_fo3111899725591712190t_real:((nat->(real->real))->(nat->(nat->(real->real))))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf6ed40>, <kernel.DependentProduct object at 0xf6efc8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf6e320>, <kernel.DependentProduct object at 0xf6eef0>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf6e320>, <kernel.DependentProduct object at 0xf80128>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf6e320>, <kernel.DependentProduct object at 0xf80200>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf6ed40>, <kernel.DependentProduct object at 0xf80290>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80200>, <kernel.DependentProduct object at 0xf80320>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Int__Oint_J
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_or370866239135849197et_int:(set_int->(set_int->set_set_int))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80128>, <kernel.DependentProduct object at 0xf803b0>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80248>, <kernel.DependentProduct object at 0xf80440>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80200>, <kernel.DependentProduct object at 0xf80128>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf803f8>, <kernel.DependentProduct object at 0xf80560>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Real__Oreal
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_ord_atLeast_real:(real->set_real)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80488>, <kernel.DependentProduct object at 0xf805a8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Int__Oint
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_ord_atMost_int:(int->set_int)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80440>, <kernel.DependentProduct object at 0xf805f0>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80128>, <kernel.DependentProduct object at 0xf80638>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Num__Onum
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_ord_atMost_num:(num->set_num)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80560>, <kernel.DependentProduct object at 0xf80680>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Rat__Orat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_ord_atMost_rat:(rat->set_rat)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf805a8>, <kernel.DependentProduct object at 0xf806c8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Real__Oreal
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_ord_atMost_real:(real->set_real)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80560>, <kernel.DependentProduct object at 0xf80710>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Set__Oset_It__Int__Oint_J
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_or58775011639299419et_int:(set_int->set_set_int)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf806c8>, <kernel.DependentProduct object at 0xf80560>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80710>, <kernel.DependentProduct object at 0xf806c8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80560>, <kernel.DependentProduct object at 0xf80710>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf806c8>, <kernel.DependentProduct object at 0xf80560>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80710>, <kernel.DependentProduct object at 0xf806c8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80560>, <kernel.DependentProduct object at 0xf805f0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf806c8>, <kernel.DependentProduct object at 0xf80b00>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf805f0>, <kernel.DependentProduct object at 0xf80b90>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Extended____Nat__Oenat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_or8419480210114673929d_enat:(extended_enat->set_Extended_enat)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf807a0>, <kernel.DependentProduct object at 0xf80c20>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Int__Oint
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_ord_lessThan_int:(int->set_int)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80ab8>, <kernel.DependentProduct object at 0xf80c68>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80b48>, <kernel.DependentProduct object at 0xf80cb0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Num__Onum
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_ord_lessThan_num:(num->set_num)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80b90>, <kernel.DependentProduct object at 0xf80cf8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Rat__Orat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_ord_lessThan_rat:(rat->set_rat)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80b48>, <kernel.DependentProduct object at 0xf80d40>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80c20>, <kernel.DependentProduct object at 0xf80dd0>) of role type named sy_c_String_Oascii__of
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring ascii_of:(char->char)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80cb0>, <kernel.DependentProduct object at 0xf80e18>) of role type named sy_c_String_Ochar_OChar
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring char2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->char))))))))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80c20>, <kernel.DependentProduct object at 0xf80ef0>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf802d8>, <kernel.DependentProduct object at 0xf80f80>) of role type named sy_c_String_Ointeger__of__char
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring integer_of_char:(char->code_integer)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf80e18>, <kernel.DependentProduct object at 0xf80c20>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.55/0.72 FOF formula (<kernel.Constant object at 0xf802d8>, <kernel.DependentProduct object at 0xf80e18>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf80c20>, <kernel.DependentProduct object at 0xf82128>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Real__Oreal_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring topolo5044208981011980120l_real:(set_real->((real->real)->Prop))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf80e18>, <kernel.DependentProduct object at 0xf82128>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Int__Oint
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring topolo4899668324122417113eq_int:((nat->int)->Prop)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf80e18>, <kernel.DependentProduct object at 0xf82128>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Nat__Onat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring topolo4902158794631467389eq_nat:((nat->nat)->Prop)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf80ea8>, <kernel.DependentProduct object at 0xf82128>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Num__Onum
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring topolo1459490580787246023eq_num:((nat->num)->Prop)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82248>, <kernel.DependentProduct object at 0xf82128>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Rat__Orat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring topolo4267028734544971653eq_rat:((nat->rat)->Prop)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf821b8>, <kernel.DependentProduct object at 0xf82128>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf822d8>, <kernel.DependentProduct object at 0xf82128>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Set__Oset_It__Int__Oint_J
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring topolo3100542954746470799et_int:((nat->set_int)->Prop)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf820e0>, <kernel.DependentProduct object at 0xf821b8>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf822d8>, <kernel.DependentProduct object at 0xf82248>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf821b8>, <kernel.DependentProduct object at 0xf82560>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82488>, <kernel.DependentProduct object at 0xf82638>) of role type named sy_c_Transcendental_Oarccos
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring arccos:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf824d0>, <kernel.DependentProduct object at 0xf82680>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring arcosh_real:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf823b0>, <kernel.DependentProduct object at 0xf826c8>) of role type named sy_c_Transcendental_Oarcsin
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring arcsin:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82560>, <kernel.DependentProduct object at 0xf82710>) of role type named sy_c_Transcendental_Oarctan
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring arctan:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82638>, <kernel.DependentProduct object at 0xf82758>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring arsinh_real:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82680>, <kernel.DependentProduct object at 0xf827a0>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring artanh_real:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf826c8>, <kernel.DependentProduct object at 0xf827e8>) of role type named sy_c_Transcendental_Ocos_001t__Complex__Ocomplex
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring cos_complex:(complex->complex)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82710>, <kernel.DependentProduct object at 0xf82830>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring cos_real:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82368>, <kernel.DependentProduct object at 0xf828c0>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring cos_coeff:(nat->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf827e8>, <kernel.DependentProduct object at 0xf82710>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring cosh_real:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf828c0>, <kernel.DependentProduct object at 0xf82908>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring cot_real:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82638>, <kernel.DependentProduct object at 0xf82368>) of role type named sy_c_Transcendental_Odiffs_001t__Complex__Ocomplex
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring diffs_complex:((nat->complex)->(nat->complex))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf827e8>, <kernel.DependentProduct object at 0xf82710>) of role type named sy_c_Transcendental_Odiffs_001t__Int__Oint
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring diffs_int:((nat->int)->(nat->int))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf828c0>, <kernel.DependentProduct object at 0xf82950>) of role type named sy_c_Transcendental_Odiffs_001t__Rat__Orat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring diffs_rat:((nat->rat)->(nat->rat))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82638>, <kernel.DependentProduct object at 0xf82998>) of role type named sy_c_Transcendental_Odiffs_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring diffs_real:((nat->real)->(nat->real))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf827e8>, <kernel.DependentProduct object at 0xf82368>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring exp_complex:(complex->complex)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf826c8>, <kernel.DependentProduct object at 0xf82710>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring exp_real:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82908>, <kernel.DependentProduct object at 0xf82b00>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring ln_ln_real:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82998>, <kernel.DependentProduct object at 0xf826c8>) of role type named sy_c_Transcendental_Olog
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring log:(real->(real->real))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82b48>, <kernel.Constant object at 0xf826c8>) of role type named sy_c_Transcendental_Opi
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring pi:real
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82b00>, <kernel.DependentProduct object at 0xf82998>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring powr_real:(real->(real->real))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82368>, <kernel.DependentProduct object at 0xf82c20>) of role type named sy_c_Transcendental_Osin_001t__Complex__Ocomplex
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring sin_complex:(complex->complex)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82638>, <kernel.DependentProduct object at 0xf82710>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring sin_real:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82758>, <kernel.DependentProduct object at 0xf82cf8>) of role type named sy_c_Transcendental_Osin__coeff
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring sin_coeff:(nat->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82c20>, <kernel.DependentProduct object at 0xf82638>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring sinh_real:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82cf8>, <kernel.DependentProduct object at 0xf82d40>) of role type named sy_c_Transcendental_Otan_001t__Complex__Ocomplex
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring tan_complex:(complex->complex)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82b48>, <kernel.DependentProduct object at 0xf82d88>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring tan_real:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82758>, <kernel.DependentProduct object at 0xf82dd0>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring tanh_real:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82b48>, <kernel.DependentProduct object at 0xf82758>) of role type named sy_c_Transitive__Closure_Ortrancl_001t__Nat__Onat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring transi2905341329935302413cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82dd0>, <kernel.DependentProduct object at 0xf82b48>) of role type named sy_c_Transitive__Closure_Otrancl_001t__Nat__Onat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring transi6264000038957366511cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf826c8>, <kernel.DependentProduct object at 0xf82f38>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82cf8>, <kernel.DependentProduct object at 0xf82b48>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82dd0>, <kernel.DependentProduct object at 0xf82fc8>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf826c8>, <kernel.DependentProduct object at 0xf82dd0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82f38>, <kernel.DependentProduct object at 0xf82cf8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf826c8>, <kernel.DependentProduct object at 0xf850e0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82dd0>, <kernel.DependentProduct object at 0xf85128>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf82cf8>, <kernel.DependentProduct object at 0xf85248>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf85050>, <kernel.DependentProduct object at 0xf85098>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf850e0>, <kernel.DependentProduct object at 0xf85200>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf85170>, <kernel.DependentProduct object at 0xf851b8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf852d8>, <kernel.DependentProduct object at 0xf85290>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0xf853b0>, <kernel.DependentProduct object at 0xf85290>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85098>, <kernel.DependentProduct object at 0xf853b0>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85440>, <kernel.DependentProduct object at 0xf854d0>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85170>, <kernel.DependentProduct object at 0xf85290>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85098>, <kernel.DependentProduct object at 0xf85170>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85488>, <kernel.DependentProduct object at 0xf85098>) of role type named sy_c_VEBT__Insert_Ovebt__insert
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring vEBT_vebt_insert:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85638>, <kernel.DependentProduct object at 0xf85488>) of role type named sy_c_VEBT__Insert_Ovebt__insert__rel
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring vEBT_vebt_insert_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85560>, <kernel.DependentProduct object at 0xf85170>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf854d0>, <kernel.DependentProduct object at 0xf85440>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85560>, <kernel.DependentProduct object at 0xf854d0>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull__rel
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring vEBT_V6963167321098673237ll_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85710>, <kernel.DependentProduct object at 0xf855a8>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85518>, <kernel.DependentProduct object at 0xf85710>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85440>, <kernel.DependentProduct object at 0xf85518>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf854d0>, <kernel.DependentProduct object at 0xf857a0>) of role type named sy_c_Wellfounded_Oaccp_001t__List__Olist_It__Nat__Onat_J
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring accp_list_nat:((list_nat->(list_nat->Prop))->(list_nat->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85518>, <kernel.DependentProduct object at 0xf85830>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf854d0>, <kernel.DependentProduct object at 0xf85560>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85830>, <kernel.DependentProduct object at 0xf85908>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85560>, <kernel.DependentProduct object at 0xf85998>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring accp_P3113834385874906142um_num:((product_prod_num_num->(product_prod_num_num->Prop))->(product_prod_num_num->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85908>, <kernel.DependentProduct object at 0xf85518>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85830>, <kernel.DependentProduct object at 0xf85560>) of role type named sy_c_Wellfounded_Oaccp_001t__VEBT____Definitions__OVEBT
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring accp_VEBT_VEBT:((vEBT_VEBT->(vEBT_VEBT->Prop))->(vEBT_VEBT->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85518>, <kernel.Constant object at 0xf85b00>) of role type named sy_c_Wellfounded_Opred__nat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring pred_nat:set_Pr1261947904930325089at_nat
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85170>, <kernel.DependentProduct object at 0xf85c20>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring fChoice_real:((real->Prop)->real)
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85560>, <kernel.DependentProduct object at 0xf85170>) of role type named sy_c_member_001_Eo
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring member_o:(Prop->(set_o->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85a70>, <kernel.DependentProduct object at 0xf85560>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring member_complex:(complex->(set_complex->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85b90>, <kernel.DependentProduct object at 0xf85b00>) of role type named sy_c_member_001t__Int__Oint
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring member_int:(int->(set_int->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85c20>, <kernel.DependentProduct object at 0xf85170>) of role type named sy_c_member_001t__List__Olist_It__Nat__Onat_J
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring member_list_nat:(list_nat->(set_list_nat->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85560>, <kernel.DependentProduct object at 0xf85b90>) of role type named sy_c_member_001t__Nat__Onat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring member_nat:(nat->(set_nat->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85518>, <kernel.DependentProduct object at 0xf85c20>) of role type named sy_c_member_001t__Num__Onum
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring member_num:(num->(set_num->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85560>, <kernel.DependentProduct object at 0xf85b00>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring member8440522571783428010at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85dd0>, <kernel.DependentProduct object at 0xf85c20>) of role type named sy_c_member_001t__Rat__Orat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring member_rat:(rat->(set_rat->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85b48>, <kernel.DependentProduct object at 0xf85dd0>) of role type named sy_c_member_001t__Real__Oreal
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring member_real:(real->(set_real->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85ea8>, <kernel.DependentProduct object at 0xf85560>) of role type named sy_c_member_001t__Set__Oset_It__Int__Oint_J
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring member_set_int:(set_int->(set_set_int->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85a70>, <kernel.DependentProduct object at 0xf85c20>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85dd0>, <kernel.Constant object at 0xf85c20>) of role type named sy_v_deg____
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring deg:nat
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85560>, <kernel.Constant object at 0xf85c20>) of role type named sy_v_m____
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring m:nat
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85b90>, <kernel.Constant object at 0xf85c20>) of role type named sy_v_ma____
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring ma:nat
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85f80>, <kernel.Constant object at 0xf85c20>) of role type named sy_v_mi____
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring mi:nat
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85f38>, <kernel.Constant object at 0xf85c20>) of role type named sy_v_na____
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring na:nat
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85fc8>, <kernel.Constant object at 0xf85c20>) of role type named sy_v_summary____
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring summary:vEBT_VEBT
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85f80>, <kernel.Constant object at 0xf85b48>) of role type named sy_v_treeList____
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring treeList:list_VEBT_VEBT
% 0.55/0.74 FOF formula (<kernel.Constant object at 0xf85f38>, <kernel.Constant object at 0xf87050>) of role type named sy_v_xa____
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring xa:nat
% 0.55/0.74 FOF formula (((or (((eq nat) xa) mi)) (((eq nat) xa) ma))->False) of role axiom named fact_0_False
% 0.55/0.74 A new axiom: (((or (((eq nat) xa) mi)) (((eq nat) xa) ma))->False)
% 0.55/0.74 FOF formula ((ord_less_eq_nat mi) ma) of role axiom named fact_1__C5_Ohyps_C_I7_J
% 0.55/0.74 A new axiom: ((ord_less_eq_nat mi) ma)
% 0.55/0.74 <<<T_VEBT] :
% 0.55/0.74 ( ( member_VEBT_VEBT @ X @ ( set_VEBT_VEBT2 @ treeList ) )
% 0.55/0.74 => ~ ?>>>!!!<<< [X_1: nat] : ( vEBT_V8194947554948674370ptions @ X @ X_1 ) ) ) ).
% 0.55/0.74
% 0.55/0.74 % "5.hyps"(6)
% 0.55/0.74 thf(fact>>>
% 0.55/0.74 statestack=[0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 22, 30, 36, 43, 50, 99, 120, 187, 113, 185, 229, 265, 285, 300, 221, 120, 187, 124]
% 0.55/0.74 symstack=[$end, TPTP_file_pre, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, 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TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,115123), LexToken(LPAR,'(',1,115126), name, LexToken(COMMA,',',1,115150), formula_role, LexToken(COMMA,',',1,115156), LexToken(LPAR,'(',1,115162), thf_unitary_formula, thf_pair_connective, thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,115184), thf_variable_list, LexToken(RBRACKET,']',1,115197), LexToken(COLON,':',1,115199), LexToken(LPAR,'(',1,115209), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.55/0.74 Unexpected exception Syntax error at '?':QUESTION
% 0.55/0.74 Traceback (most recent call last):
% 0.55/0.74 File "CASC.py", line 79, in <module>
% 0.55/0.74 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.55/0.74 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.55/0.74 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.55/0.74 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.55/0.74 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.55/0.74 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.55/0.74 tok = self.errorfunc(errtoken)
% 0.55/0.74 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.55/0.74 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.55/0.74 TPTPparser.TPTPParsingError: Syntax error at '?':QUESTION
%------------------------------------------------------------------------------