TSTP Solution File: ITP221^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP221^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 17:47:35 EDT 2022
% Result : Unknown 0.69s 0.93s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ITP221^3 : TPTP v7.6.0. Released v7.6.0.
% 0.11/0.15 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 Computer : n002.cluster.edu
% 0.12/0.37 Model : x86_64 x86_64
% 0.12/0.37 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 RAMPerCPU : 8042.1875MB
% 0.12/0.37 OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % DateTime : Fri Mar 18 10:28:30 EDT 2022
% 0.12/0.37 % CPUTime :
% 0.12/0.38 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.38 Python 2.7.5
% 0.45/0.66 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d89cb0>, <kernel.Type object at 0x1d89bd8>) 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
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring produc3368934014287244435at_num:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d89ef0>, <kernel.Type object at 0x1d89d88>) 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
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring produc4471711990508489141at_nat:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d89f38>, <kernel.Type object at 0x202e830>) of role type named ty_n_t__Set__Oset_It__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring set_fi4554929511873752355omplex:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d89ef0>, <kernel.Type object at 0x2af61e0b8ea8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring list_P7413028617227757229T_VEBT:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d89ef0>, <kernel.Type object at 0x1d925f0>) 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
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring produc2963631642982155120at_num:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d89cb0>, <kernel.Type object at 0x1d89f38>) 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
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring produc7248412053542808358at_nat:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d89d40>, <kernel.Type object at 0x1d8e098>) of role type named ty_n_t__Set__Oset_It__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring set_fi7789364187291644575l_real:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d89d40>, <kernel.Type object at 0x1d8e680>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring filter6041513312241820739omplex:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d89cb0>, <kernel.Type object at 0x1d8ef80>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring list_P7037539587688870467BT_nat:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8e710>, <kernel.Type object at 0x1d8efc8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring list_P4547456442757143711BT_int:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8e758>, <kernel.Type object at 0x1d8e6c8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring list_P5647936690300460905T_VEBT:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8eef0>, <kernel.Type object at 0x1d8e710>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring produc8243902056947475879T_VEBT:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8ef38>, <kernel.Type object at 0x1d8ecf8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring set_Pr5085853215250843933omplex:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8eef0>, <kernel.Type object at 0x1d8e758>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring produc8923325533196201883nteger:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8e908>, <kernel.Type object at 0x1d8ef38>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring list_P3126845725202233233VEBT_o:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8e488>, <kernel.Type object at 0x1d8eef0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring list_P7495141550334521929T_VEBT:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8eb48>, <kernel.Type object at 0x1d8e908>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring filter2146258269922977983l_real:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8ebd8>, <kernel.Type object at 0x1d8e488>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring list_P8526636022914148096eger_o:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8e128>, <kernel.Type object at 0x1d8eb48>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring option4927543243414619207at_nat:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8e5a8>, <kernel.Type object at 0x1d8ebd8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring set_Pr6218003697084177305l_real:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8eab8>, <kernel.Type object at 0x1d8e128>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring list_P3744719386663036955um_num:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8ec68>, <kernel.Type object at 0x1d8e5a8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring list_P6011104703257516679at_nat:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8e878>, <kernel.Type object at 0x1d8eab8>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring produc9072475918466114483BT_nat:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8e368>, <kernel.Type object at 0x1d8ec68>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring produc4894624898956917775BT_int:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8e3f8>, <kernel.Type object at 0x1d8e878>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring set_Pr1261947904930325089at_nat:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8e638>, <kernel.Type object at 0x1d8e368>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring set_Pr958786334691620121nt_int:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8e170>, <kernel.Type object at 0x1d8e3f8>) of role type named ty_n_t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring produc4411394909380815293omplex:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8e638>, <kernel.Type object at 0x2af61e0c8b90>) of role type named ty_n_t__List__Olist_It__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring list_list_VEBT_VEBT:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8ecb0>, <kernel.Type object at 0x1d8ea28>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring list_P7333126701944960589_nat_o:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8ecb0>, <kernel.Type object at 0x1d6cc68>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring list_P6285523579766656935_o_nat:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x1d8ecb0>, <kernel.Type object at 0x1d6c998>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring list_P3795440434834930179_o_int:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8ea28>, <kernel.Type object at 0x1d6cc68>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring set_list_VEBT_VEBT:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af61e0c8b90>, <kernel.Type object at 0x1d6c9e0>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring produc334124729049499915VEBT_o:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d6c950>, <kernel.Type object at 0x2af61e0c8b90>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring produc2504756804600209347T_VEBT:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d6c5f0>, <kernel.Type object at 0x1d8fa70>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring produc6271795597528267376eger_o:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d6c5f0>, <kernel.Type object at 0x1d8fe60>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring produc2422161461964618553l_real:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d6ccb0>, <kernel.Type object at 0x1d8fa70>) of role type named ty_n_t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring product_prod_num_num:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d6c5f0>, <kernel.Type object at 0x1d8f9e0>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring product_prod_nat_num:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d6c950>, <kernel.Type object at 0x1d8f170>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring product_prod_nat_nat:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d6c950>, <kernel.Type object at 0x1d8f320>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring product_prod_int_int:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8fb00>, <kernel.Type object at 0x1d8fdd0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring list_P4002435161011370285od_o_o:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8fcb0>, <kernel.Type object at 0x1d8f320>) of role type named ty_n_t__List__Olist_It__List__Olist_It__Nat__Onat_J_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring list_list_nat:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8f9e0>, <kernel.Type object at 0x1d8f710>) of role type named ty_n_t__List__Olist_It__List__Olist_It__Int__Oint_J_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring list_list_int:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8fb00>, <kernel.Type object at 0x1d8f0e0>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring list_VEBT_VEBT:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8fcb0>, <kernel.Type object at 0x1d8ff80>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring set_list_nat:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8f9e0>, <kernel.Type object at 0x1d8f200>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Int__Oint_J_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring set_list_int:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8fb00>, <kernel.Type object at 0x1d8f440>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring product_prod_o_nat:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8fcb0>, <kernel.Type object at 0x1d8fd40>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring product_prod_o_int:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8f9e0>, <kernel.Type object at 0x1d8f5f0>) of role type named ty_n_t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring list_Code_integer:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8fb00>, <kernel.Type object at 0x1d8f5a8>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring set_VEBT_VEBT:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8fcb0>, <kernel.Type object at 0x1d8f680>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring set_set_nat:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8f9e0>, <kernel.Type object at 0x1d8f3b0>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring set_set_int:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8fb00>, <kernel.Type object at 0x1d8f830>) of role type named ty_n_t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring set_Code_integer:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8fcb0>, <kernel.Type object at 0x1d8f878>) of role type named ty_n_t__Set__Oset_It__Product____Type__Ounit_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring set_Product_unit:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8f9e0>, <kernel.Type object at 0x1d8f4d0>) of role type named ty_n_t__List__Olist_It__List__Olist_I_Eo_J_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring list_list_o:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8fb00>, <kernel.Type object at 0x1d8f7a0>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring list_complex:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8fcb0>, <kernel.Type object at 0x1d8f4d0>) of role type named ty_n_t__Set__Oset_It__List__Olist_I_Eo_J_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring set_list_o:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8f7a0>, <kernel.Type object at 0x2af6165f8248>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring product_prod_o_o:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8f4d0>, <kernel.Type object at 0x2af6165f8248>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring set_complex:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8f3f8>, <kernel.Type object at 0x2af6165f8200>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring filter_real:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8fcb0>, <kernel.Type object at 0x2af6165f81b8>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring option_num:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8f4d0>, <kernel.Type object at 0x2af6165f80e0>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring filter_nat:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8fcb0>, <kernel.Type object at 0x2af6165f8128>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring set_char:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x1d8f3f8>, <kernel.Type object at 0x2af6165f8050>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring list_real:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f8248>, <kernel.Type object at 0x2af6165f8128>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring set_real:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f81b8>, <kernel.Type object at 0x2af6165f82d8>) of role type named ty_n_t__List__Olist_It__Num__Onum_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring list_num:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f8200>, <kernel.Type object at 0x2af6165f8368>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring list_nat:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f80e0>, <kernel.Type object at 0x2af6165f83b0>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring list_int:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f8248>, <kernel.Type object at 0x2af6165f83f8>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring vEBT_VEBT:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f81b8>, <kernel.Type object at 0x2af6165f8440>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring set_rat:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f8200>, <kernel.Type object at 0x2af6165f8488>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring set_num:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f80e0>, <kernel.Type object at 0x2af6165f84d0>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring set_nat:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f8248>, <kernel.Type object at 0x2af6165f8518>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring set_int:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f81b8>, <kernel.Type object at 0x2af6165f8560>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring code_integer:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f8200>, <kernel.Type object at 0x2af6165f85a8>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring extended_enat:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f8248>, <kernel.Type object at 0x2af6165f8518>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring list_o:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f8170>, <kernel.Type object at 0x2af6165f8638>) of role type named ty_n_t__Complex__Ocomplex
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring complex:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f81b8>, <kernel.Type object at 0x2af6165f8560>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring set_o:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f8248>, <kernel.Type object at 0x2af6165f8680>) of role type named ty_n_t__String__Ochar
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring char:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f8170>, <kernel.Type object at 0x2af6165f86c8>) of role type named ty_n_t__Real__Oreal
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring real:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f81b8>, <kernel.Type object at 0x2af6165f8710>) of role type named ty_n_t__Rat__Orat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring rat:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f8248>, <kernel.Type object at 0x2af6165f8758>) of role type named ty_n_t__Num__Onum
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring num:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f8170>, <kernel.Type object at 0x2af6165f87a0>) of role type named ty_n_t__Nat__Onat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring nat:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f81b8>, <kernel.Type object at 0x2af6165f87e8>) of role type named ty_n_t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring int:Type
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f81b8>, <kernel.DependentProduct object at 0x2af6165f8998>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Rat__Orat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring archim2889992004027027881ng_rat:(rat->int)
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f8830>, <kernel.DependentProduct object at 0x2af6165f8a28>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring archim7802044766580827645g_real:(real->int)
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f8998>, <kernel.DependentProduct object at 0x2af6165f8ab8>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring archim3151403230148437115or_rat:(rat->int)
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f8a28>, <kernel.DependentProduct object at 0x2af6165f8b48>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring archim6058952711729229775r_real:(real->int)
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f80e0>, <kernel.DependentProduct object at 0x2af6165f8bd8>) of role type named sy_c_Archimedean__Field_Ofrac_001t__Rat__Orat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring archimedean_frac_rat:(rat->rat)
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f8a28>, <kernel.DependentProduct object at 0x2af6165f8c20>) of role type named sy_c_Archimedean__Field_Ofrac_001t__Real__Oreal
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring archim2898591450579166408c_real:(real->real)
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2af6165f8bd8>, <kernel.DependentProduct object at 0x2af6165f8cb0>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x2af6165f8c20>, <kernel.DependentProduct object at 0x2af6165f8d40>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring archim8280529875227126926d_real:(real->int)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x2af6165f8a70>, <kernel.DependentProduct object at 0x2af6165f8cb0>) of role type named sy_c_Binomial_Obinomial
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring binomial:(nat->(nat->nat))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x2af6165f8dd0>, <kernel.DependentProduct object at 0x2af6165f8c20>) of role type named sy_c_Binomial_Ogbinomial_001t__Complex__Ocomplex
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring gbinomial_complex:(complex->(nat->complex))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x2af6165f8e18>, <kernel.DependentProduct object at 0x2af6165f8a70>) of role type named sy_c_Binomial_Ogbinomial_001t__Int__Oint
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring gbinomial_int:(int->(nat->int))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x2af6165f8c68>, <kernel.DependentProduct object at 0x2af6165f8dd0>) of role type named sy_c_Binomial_Ogbinomial_001t__Nat__Onat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring gbinomial_nat:(nat->(nat->nat))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x2af6165f8cf8>, <kernel.DependentProduct object at 0x2af6165f8e18>) of role type named sy_c_Binomial_Ogbinomial_001t__Rat__Orat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring gbinomial_rat:(rat->(nat->rat))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x2af6165f8d40>, <kernel.DependentProduct object at 0x2af6165f8c68>) of role type named sy_c_Binomial_Ogbinomial_001t__Real__Oreal
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring gbinomial_real:(real->(nat->real))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x2af6165f8170>, <kernel.DependentProduct object at 0x2af6165f8d40>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x2af6165f8cb0>, <kernel.DependentProduct object at 0x2af6165f8c68>) of role type named sy_c_Bit__Operations_Oand__not__num
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_and_not_num:(num->(num->option_num))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x2af6165f8d40>, <kernel.DependentProduct object at 0x2af6165f8cf8>) of role type named sy_c_Bit__Operations_Oand__not__num__rel
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_and_not_num_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x2af6165f8fc8>, <kernel.DependentProduct object at 0x1d79050>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x2af6165f8bd8>, <kernel.DependentProduct object at 0x2af6165f8c68>) of role type named sy_c_Bit__Operations_Oor__not__num__neg
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_or_not_num_neg:(num->(num->num))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x2af6165f8cf8>, <kernel.DependentProduct object at 0x1d79200>) of role type named sy_c_Bit__Operations_Oor__not__num__neg__rel
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_or3848514188828904588eg_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x2af6165f8cf8>, <kernel.DependentProduct object at 0x1d791b8>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Code____Numeral__Ointeger
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_ri7632146776885996613nteger:(code_integer->code_integer)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x2af6165f8c20>, <kernel.DependentProduct object at 0x1d79248>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x1d79200>, <kernel.DependentProduct object at 0x1d79290>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x1d792d8>, <kernel.DependentProduct object at 0x1d79320>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x1d79248>, <kernel.DependentProduct object at 0x1d793b0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Code____Numeral__Ointeger
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se3949692690581998587nteger:(code_integer->(code_integer->code_integer))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x1d79128>, <kernel.DependentProduct object at 0x1d79248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x1d793b0>, <kernel.DependentProduct object at 0x1d79128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x1d79248>, <kernel.DependentProduct object at 0x1d793b0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x1d79128>, <kernel.DependentProduct object at 0x1d79248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x1d793b0>, <kernel.DependentProduct object at 0x1d79128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x1d79248>, <kernel.DependentProduct object at 0x1d793b0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x1d79128>, <kernel.DependentProduct object at 0x1d79248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x1d793b0>, <kernel.DependentProduct object at 0x1d79200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Code____Numeral__Ointeger
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se2119862282449309892nteger:(nat->code_integer)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x1d79248>, <kernel.DependentProduct object at 0x1d79908>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x1d79200>, <kernel.DependentProduct object at 0x1d79998>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x1d79908>, <kernel.DependentProduct object at 0x1d79200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x1d79998>, <kernel.DependentProduct object at 0x1d79908>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x1d79200>, <kernel.DependentProduct object at 0x1d79998>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Code____Numeral__Ointeger
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se7788150548672797655nteger:(nat->(code_integer->code_integer))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d79908>, <kernel.DependentProduct object at 0x1d79200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d79998>, <kernel.DependentProduct object at 0x1d79908>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d79200>, <kernel.DependentProduct object at 0x1d79998>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d79908>, <kernel.DependentProduct object at 0x1d79200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d79998>, <kernel.DependentProduct object at 0x1d79908>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d79200>, <kernel.DependentProduct object at 0x1d79998>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Code____Numeral__Ointeger
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se1745604003318907178nteger:(nat->(code_integer->code_integer))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d79908>, <kernel.DependentProduct object at 0x1d79200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d79998>, <kernel.DependentProduct object at 0x1d79908>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d79200>, <kernel.DependentProduct object at 0x1d79a28>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d79908>, <kernel.DependentProduct object at 0x1d79f38>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d79908>, <kernel.DependentProduct object at 0x1d7d0e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d79908>, <kernel.DependentProduct object at 0x1d7d200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Code____Numeral__Ointeger
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se3222712562003087583nteger:(code_integer->(code_integer->code_integer))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d79200>, <kernel.DependentProduct object at 0x1d7d290>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d7d200>, <kernel.DependentProduct object at 0x1d7d320>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d7d1b8>, <kernel.DependentProduct object at 0x1d7d3b0>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Code____Numeral__Ointeger
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se9216721137139052372nteger:(code_integer->(nat->Prop))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d7d248>, <kernel.DependentProduct object at 0x1d7d098>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d7d3f8>, <kernel.DependentProduct object at 0x1d7d248>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d7d4d0>, <kernel.DependentProduct object at 0x1d7d098>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d7d3f8>, <kernel.DependentProduct object at 0x1d7d4d0>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oand__num
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_un1837492267222099188nd_num:(num->(num->option_num))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d7d098>, <kernel.DependentProduct object at 0x1d7d3f8>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oand__num__rel
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_un5425074673868309765um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d7d4d0>, <kernel.DependentProduct object at 0x1d7d098>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oxor__num
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_un6178654185764691216or_num:(num->(num->option_num))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d7d3f8>, <kernel.DependentProduct object at 0x1d7d4d0>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oxor__num__rel
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_un3595099601533988841um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d7d098>, <kernel.DependentProduct object at 0x1d7d3f8>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_un7362597486090784418nd_num:(num->(num->option_num))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d7d4d0>, <kernel.DependentProduct object at 0x1d7d098>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num__rel
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_un4731106466462545111um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d7d3f8>, <kernel.DependentProduct object at 0x1d7d4d0>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_un2480387367778600638or_num:(num->(num->option_num))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d7d098>, <kernel.DependentProduct object at 0x1d7d3f8>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num__rel
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_un2901131394128224187um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d7d9e0>, <kernel.DependentProduct object at 0x1d7d4d0>) of role type named sy_c_Code__Numeral_Obit__cut__integer
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring code_bit_cut_integer:(code_integer->produc6271795597528267376eger_o)
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d7d2d8>, <kernel.DependentProduct object at 0x1d7d9e0>) of role type named sy_c_Code__Numeral_Odivmod__abs
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring code_divmod_abs:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x1d7d908>, <kernel.DependentProduct object at 0x1d7d4d0>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7db00>, <kernel.DependentProduct object at 0x1d7da70>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_int_of_integer:(code_integer->int)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7d4d0>, <kernel.DependentProduct object at 0x1d7dbd8>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_integer_of_int:(int->code_integer)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7dab8>, <kernel.DependentProduct object at 0x1d7db90>) of role type named sy_c_Code__Numeral_Ointeger__of__num
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_integer_of_num:(num->code_integer)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7d908>, <kernel.DependentProduct object at 0x1d7dc20>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_nat_of_integer:(code_integer->nat)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7da70>, <kernel.DependentProduct object at 0x1d7dc68>) of role type named sy_c_Code__Numeral_Onum__of__integer
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_num_of_integer:(code_integer->num)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7d908>, <kernel.DependentProduct object at 0x1d7da70>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring comple8358262395181532106omplex:(set_fi4554929511873752355omplex->filter6041513312241820739omplex)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7dc68>, <kernel.DependentProduct object at 0x1d7d908>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring comple2936214249959783750l_real:(set_fi7789364187291644575l_real->filter2146258269922977983l_real)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7da70>, <kernel.DependentProduct object at 0x1d7ddd0>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Real__Oreal
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring comple4887499456419720421f_real:(set_real->real)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7d908>, <kernel.DependentProduct object at 0x1d7de60>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Nat__Onat_J
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring comple7806235888213564991et_nat:(set_set_nat->set_nat)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7dab8>, <kernel.DependentProduct object at 0x1d7def0>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Int__Oint
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring complete_Sup_Sup_int:(set_int->int)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7d908>, <kernel.DependentProduct object at 0x1d7df38>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Real__Oreal
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring comple1385675409528146559p_real:(set_real->real)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7def0>, <kernel.DependentProduct object at 0x1d7dfc8>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Nat__Onat_J
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring comple7399068483239264473et_nat:(set_set_nat->set_nat)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7dd88>, <kernel.DependentProduct object at 0x1d83098>) of role type named sy_c_Complex_OArg
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring arg:(complex->real)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7ddd0>, <kernel.DependentProduct object at 0x1d830e0>) of role type named sy_c_Complex_Ocis
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring cis:(real->complex)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7dfc8>, <kernel.DependentProduct object at 0x1d83128>) of role type named sy_c_Complex_Ocnj
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring cnj:(complex->complex)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7db48>, <kernel.DependentProduct object at 0x1d83170>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring complex2:(real->(real->complex))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7def0>, <kernel.DependentProduct object at 0x1d83248>) of role type named sy_c_Complex_Ocomplex_OIm
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring im:(complex->real)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7df38>, <kernel.DependentProduct object at 0x1d83200>) of role type named sy_c_Complex_Ocomplex_ORe
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring re:(complex->real)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7def0>, <kernel.DependentProduct object at 0x1d83098>) of role type named sy_c_Complex_Ocsqrt
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring csqrt:(complex->complex)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7def0>, <kernel.Constant object at 0x1d83170>) of role type named sy_c_Complex_Oimaginary__unit
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring imaginary_unit:complex
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d7def0>, <kernel.DependentProduct object at 0x1d831b8>) of role type named sy_c_Complex_Orcis
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring rcis:(real->(real->complex))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d83050>, <kernel.DependentProduct object at 0x1d832d8>) of role type named sy_c_Deriv_Odifferentiable_001t__Real__Oreal_001t__Real__Oreal
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring differ6690327859849518006l_real:((real->real)->(filter_real->Prop))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d831b8>, <kernel.DependentProduct object at 0x1d83440>) of role type named sy_c_Deriv_Ohas__derivative_001t__Real__Oreal_001t__Real__Oreal
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring has_de1759254742604945161l_real:((real->real)->((real->real)->(filter_real->Prop)))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d832d8>, <kernel.DependentProduct object at 0x1d833f8>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d83170>, <kernel.DependentProduct object at 0x1d83518>) of role type named sy_c_Divides_Oadjust__div
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring adjust_div:(product_prod_int_int->int)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d83128>, <kernel.DependentProduct object at 0x1d832d8>) of role type named sy_c_Divides_Oadjust__mod
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring adjust_mod:(int->(int->int))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d834d0>, <kernel.DependentProduct object at 0x1d83170>) of role type named sy_c_Divides_Odivmod__nat
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d83248>, <kernel.DependentProduct object at 0x1d834d0>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d83128>, <kernel.DependentProduct object at 0x1d833f8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Code____Numeral__Ointeger
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring unique5706413561485394159nteger:(produc8923325533196201883nteger->Prop)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d83248>, <kernel.DependentProduct object at 0x1d835f0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d833f8>, <kernel.DependentProduct object at 0x1d83680>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d835f0>, <kernel.DependentProduct object at 0x1d833f8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d83680>, <kernel.DependentProduct object at 0x1d835f0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d833f8>, <kernel.DependentProduct object at 0x1d83680>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d835f0>, <kernel.DependentProduct object at 0x1d83950>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring unique4921790084139445826nteger:(num->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d83680>, <kernel.DependentProduct object at 0x1d835f0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d83950>, <kernel.DependentProduct object at 0x1d83680>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d835f0>, <kernel.DependentProduct object at 0x1d83950>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Code____Numeral__Ointeger
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring comm_s8582702949713902594nteger:(code_integer->(nat->code_integer))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d83680>, <kernel.DependentProduct object at 0x1d835f0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Complex__Ocomplex
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring comm_s2602460028002588243omplex:(complex->(nat->complex))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d83950>, <kernel.DependentProduct object at 0x1d83680>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Int__Oint
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring comm_s4660882817536571857er_int:(int->(nat->int))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d835f0>, <kernel.DependentProduct object at 0x1d83950>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Nat__Onat
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring comm_s4663373288045622133er_nat:(nat->(nat->nat))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d83680>, <kernel.DependentProduct object at 0x1d835f0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Rat__Orat
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring comm_s4028243227959126397er_rat:(rat->(nat->rat))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d83950>, <kernel.DependentProduct object at 0x1d83680>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Real__Oreal
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring comm_s7457072308508201937r_real:(real->(nat->real))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d835f0>, <kernel.DependentProduct object at 0x1d833f8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Code____Numeral__Ointeger
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring semiri3624122377584611663nteger:(nat->code_integer)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d83680>, <kernel.DependentProduct object at 0x1d83ef0>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d833f8>, <kernel.DependentProduct object at 0x1d83f80>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Extended____Nat__Oenat
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring semiri4449623510593786356d_enat:(nat->extended_enat)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d83ef0>, <kernel.DependentProduct object at 0x1d85050>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Int__Oint
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring semiri1406184849735516958ct_int:(nat->int)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0x1d83f80>, <kernel.DependentProduct object at 0x1d850e0>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d83f38>, <kernel.DependentProduct object at 0x1d85170>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Rat__Orat
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring semiri773545260158071498ct_rat:(nat->rat)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d83f38>, <kernel.DependentProduct object at 0x1d85200>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d83998>, <kernel.DependentProduct object at 0x1d85290>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Complex__Ocomplex
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring invers8013647133539491842omplex:(complex->complex)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d83f38>, <kernel.DependentProduct object at 0x1d85320>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring inverse_inverse_rat:(rat->rat)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d833f8>, <kernel.DependentProduct object at 0x1d85368>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring inverse_inverse_real:(real->real)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d833f8>, <kernel.Constant object at 0x1d85368>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring at_bot_real:filter_real
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85320>, <kernel.Constant object at 0x1d85368>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring at_top_nat:filter_nat
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85170>, <kernel.Constant object at 0x1d85368>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring at_top_real:filter_real
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85290>, <kernel.DependentProduct object at 0x1d85320>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85368>, <kernel.DependentProduct object at 0x1d85170>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85320>, <kernel.DependentProduct object at 0x1d85440>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85560>, <kernel.DependentProduct object at 0x1d854d0>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d855f0>, <kernel.DependentProduct object at 0x1d85518>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85560>, <kernel.DependentProduct object at 0x1d855f0>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring princi3496590319149328850omplex:(set_Pr5085853215250843933omplex->filter6041513312241820739omplex)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85518>, <kernel.DependentProduct object at 0x1d85560>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring princi6114159922880469582l_real:(set_Pr6218003697084177305l_real->filter2146258269922977983l_real)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d852d8>, <kernel.DependentProduct object at 0x1d85758>) of role type named sy_c_Finite__Set_Ocard_001_Eo
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring finite_card_o:(set_o->nat)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85680>, <kernel.DependentProduct object at 0x1d85518>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring finite_card_complex:(set_complex->nat)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85758>, <kernel.DependentProduct object at 0x1d857a0>) of role type named sy_c_Finite__Set_Ocard_001t__Int__Oint
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring finite_card_int:(set_int->nat)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85320>, <kernel.DependentProduct object at 0x1d857e8>) of role type named sy_c_Finite__Set_Ocard_001t__List__Olist_It__Nat__Onat_J
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring finite_card_list_nat:(set_list_nat->nat)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d852d8>, <kernel.DependentProduct object at 0x1d85830>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring finite_card_nat:(set_nat->nat)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85320>, <kernel.DependentProduct object at 0x1d85878>) of role type named sy_c_Finite__Set_Ocard_001t__Product____Type__Ounit
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring finite410649719033368117t_unit:(set_Product_unit->nat)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85518>, <kernel.DependentProduct object at 0x1d85908>) of role type named sy_c_Finite__Set_Ocard_001t__String__Ochar
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring finite_card_char:(set_char->nat)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85320>, <kernel.DependentProduct object at 0x1d85830>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85518>, <kernel.DependentProduct object at 0x1d85998>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring finite_finite_int:(set_int->Prop)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85908>, <kernel.DependentProduct object at 0x1d859e0>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring finite_finite_nat:(set_nat->Prop)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85518>, <kernel.DependentProduct object at 0x1d85320>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85ab8>, <kernel.DependentProduct object at 0x1d85998>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85b00>, <kernel.DependentProduct object at 0x1d85908>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85bd8>, <kernel.DependentProduct object at 0x1d85b90>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring comp_nat_nat_nat:((nat->nat)->((nat->nat)->(nat->nat)))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85c20>, <kernel.DependentProduct object at 0x1d85c68>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Real__Oreal_001t__Nat__Onat
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring comp_nat_real_nat:((nat->real)->((nat->nat)->(nat->real)))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85cb0>, <kernel.DependentProduct object at 0x1d85518>) of role type named sy_c_Fun_Oid_001_Eo
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring id_o:(Prop->Prop)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85368>, <kernel.DependentProduct object at 0x1d85ab8>) of role type named sy_c_Fun_Oid_001t__Nat__Onat
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring id_nat:(nat->nat)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85830>, <kernel.DependentProduct object at 0x1d85ab8>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Nat__Onat
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring inj_on_nat_nat:((nat->nat)->(set_nat->Prop))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x1d85368>, <kernel.DependentProduct object at 0x1d85b90>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__String__Ochar
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring inj_on_nat_char:((nat->char)->(set_nat->Prop))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x1d85ab8>, <kernel.DependentProduct object at 0x1d85cb0>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Real__Oreal
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring inj_on_real_real:((real->real)->(set_real->Prop))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x1d85368>, <kernel.DependentProduct object at 0x1d85ab8>) 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
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring map_fu898904425404107465nt_o_o:((rat->product_prod_int_int)->((Prop->Prop)->((product_prod_int_int->Prop)->(rat->Prop))))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x1d85cb0>, <kernel.DependentProduct object at 0x1d85dd0>) of role type named sy_c_Fun_Ostrict__mono__on_001t__Nat__Onat_001t__Nat__Onat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring strict1292158309912662752at_nat:((nat->nat)->(set_nat->Prop))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x1d85ab8>, <kernel.DependentProduct object at 0x1d85f38>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x1d85ea8>, <kernel.DependentProduct object at 0x1d85fc8>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Int__Oint
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring gcd_Gcd_int:(set_int->int)
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x1d85e60>, <kernel.DependentProduct object at 0x1d85f80>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Nat__Onat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring gcd_Gcd_nat:(set_nat->nat)
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x1d85518>, <kernel.DependentProduct object at 0x1d85ea8>) of role type named sy_c_GCD_Obezw
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring bezw:(nat->(nat->product_prod_int_int))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x1d85ef0>, <kernel.DependentProduct object at 0x1d85e60>) of role type named sy_c_GCD_Obezw__rel
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring bezw_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x1d85dd0>, <kernel.DependentProduct object at 0x1d85f80>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Code____Numeral__Ointeger
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring gcd_gcd_Code_integer:(code_integer->(code_integer->code_integer))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x1d85e60>, <kernel.DependentProduct object at 0x1d85f38>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Int__Oint
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring gcd_gcd_int:(int->(int->int))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x1d85f80>, <kernel.DependentProduct object at 0x1d85518>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Nat__Onat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring gcd_gcd_nat:(nat->(nat->nat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x1d85dd0>, <kernel.DependentProduct object at 0x2af6166021b8>) of role type named sy_c_GCD_Ogcd__nat__rel
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring gcd_nat_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x1d85f80>, <kernel.DependentProduct object at 0x2af616602170>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x1d85518>, <kernel.DependentProduct object at 0x2af616602200>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring abs_abs_complex:(complex->complex)
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x1d85f80>, <kernel.DependentProduct object at 0x2af616602248>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring abs_abs_int:(int->int)
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x1d85dd0>, <kernel.DependentProduct object at 0x2af616602290>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring abs_abs_rat:(rat->rat)
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x1d85dd0>, <kernel.DependentProduct object at 0x2af6166022d8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring abs_abs_real:(real->real)
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2af616602098>, <kernel.DependentProduct object at 0x2af616602170>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring minus_8373710615458151222nteger:(code_integer->(code_integer->code_integer))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2af616602320>, <kernel.DependentProduct object at 0x2af6166022d8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2af616602098>, <kernel.DependentProduct object at 0x2af616602320>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Extended____Nat__Oenat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring minus_3235023915231533773d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2af6166023f8>, <kernel.DependentProduct object at 0x2af6166022d8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring minus_minus_int:(int->(int->int))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2af616602128>, <kernel.DependentProduct object at 0x2af616602098>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2af6166024d0>, <kernel.DependentProduct object at 0x2af6166023f8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring minus_minus_rat:(rat->(rat->rat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2af616602170>, <kernel.DependentProduct object at 0x2af616602128>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring minus_minus_real:(real->(real->real))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2af6166024d0>, <kernel.DependentProduct object at 0x2af616602170>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2af616602320>, <kernel.DependentProduct object at 0x2af616602128>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2af6166023b0>, <kernel.DependentProduct object at 0x2af6166024d0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2af616602320>, <kernel.DependentProduct object at 0x2af616602170>) 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
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring minus_1356011639430497352at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2af616602488>, <kernel.DependentProduct object at 0x2af6166024d0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2af6166023b0>, <kernel.Constant object at 0x2af6166024d0>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring one_one_Code_integer:code_integer
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2af616602170>, <kernel.Constant object at 0x2af6166024d0>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.52/0.72 Using role type
% 0.52/0.72 Declaring one_one_complex:complex
% 0.52/0.72 FOF formula (<kernel.Constant object at 0x2af6166023b0>, <kernel.Constant object at 0x2af616602758>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af6166027e8>, <kernel.Constant object at 0x2af616602758>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring one_one_int:int
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602638>, <kernel.Constant object at 0x2af616602758>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring one_one_nat:nat
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602830>, <kernel.Constant object at 0x2af616602758>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring one_one_rat:rat
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602878>, <kernel.Constant object at 0x2af616602758>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring one_one_real:real
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602830>, <kernel.DependentProduct object at 0x2af616602878>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af6166029e0>, <kernel.DependentProduct object at 0x2af616602758>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602830>, <kernel.DependentProduct object at 0x2af6166029e0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602ab8>, <kernel.DependentProduct object at 0x2af616602758>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring plus_plus_int:(int->(int->int))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af6166028c0>, <kernel.DependentProduct object at 0x2af616602830>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602b90>, <kernel.DependentProduct object at 0x2af616602ab8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring plus_plus_num:(num->(num->num))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602878>, <kernel.DependentProduct object at 0x2af6166028c0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602a70>, <kernel.DependentProduct object at 0x2af616602b90>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring plus_plus_real:(real->(real->real))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af6166029e0>, <kernel.DependentProduct object at 0x2af616602758>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602ab8>, <kernel.DependentProduct object at 0x2af616602830>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring sgn_sgn_complex:(complex->complex)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af6166028c0>, <kernel.DependentProduct object at 0x2af616602d40>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring sgn_sgn_int:(int->int)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602b90>, <kernel.DependentProduct object at 0x2af616602d88>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring sgn_sgn_rat:(rat->rat)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602758>, <kernel.DependentProduct object at 0x2af616602dd0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring sgn_sgn_real:(real->real)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602b90>, <kernel.DependentProduct object at 0x2af616602758>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602e18>, <kernel.DependentProduct object at 0x2af616602dd0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring times_times_complex:(complex->(complex->complex))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602b90>, <kernel.DependentProduct object at 0x2af616602e18>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602ef0>, <kernel.DependentProduct object at 0x2af616602dd0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring times_times_int:(int->(int->int))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602830>, <kernel.DependentProduct object at 0x2af616602b90>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring times_times_nat:(nat->(nat->nat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602758>, <kernel.DependentProduct object at 0x2af616602ef0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring times_times_num:(num->(num->num))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602b90>, <kernel.DependentProduct object at 0x2af616602dd0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring times_times_rat:(rat->(rat->rat))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602ef0>, <kernel.DependentProduct object at 0x2af616602f80>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring times_times_real:(real->(real->real))
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602b90>, <kernel.DependentProduct object at 0x2af616608128>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602b90>, <kernel.DependentProduct object at 0x2af6166081b8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602f80>, <kernel.DependentProduct object at 0x2af616608248>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring uminus_uminus_int:(int->int)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602b90>, <kernel.DependentProduct object at 0x2af616608290>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring uminus_uminus_rat:(rat->rat)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616602e18>, <kernel.DependentProduct object at 0x2af6166082d8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring uminus_uminus_real:(real->real)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af6166080e0>, <kernel.DependentProduct object at 0x2af616608320>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Int__Oint_J
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring uminus1532241313380277803et_int:(set_int->set_int)
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616608128>, <kernel.Constant object at 0x2af616608320>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring zero_z3403309356797280102nteger:code_integer
% 0.52/0.73 FOF formula (<kernel.Constant object at 0x2af616608098>, <kernel.Constant object at 0x2af616608320>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.52/0.73 Using role type
% 0.52/0.73 Declaring zero_zero_complex:complex
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af616608128>, <kernel.Constant object at 0x2af6166081b8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af6166083b0>, <kernel.Constant object at 0x2af6166081b8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring zero_zero_int:int
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af616608440>, <kernel.Constant object at 0x2af6166081b8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring zero_zero_nat:nat
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af616608488>, <kernel.Constant object at 0x2af6166081b8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring zero_zero_rat:rat
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af6166084d0>, <kernel.Constant object at 0x2af6166081b8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring zero_zero_real:real
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af616608488>, <kernel.DependentProduct object at 0x2af616608518>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups6621422865394947399nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af6166081b8>, <kernel.DependentProduct object at 0x2af6166084d0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af616608518>, <kernel.DependentProduct object at 0x2af616608488>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af6166084d0>, <kernel.DependentProduct object at 0x2af6166081b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af616608488>, <kernel.DependentProduct object at 0x2af616608518>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups5058264527183730370ex_rat:((complex->rat)->(set_complex->rat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af6166081b8>, <kernel.DependentProduct object at 0x2af6166084d0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af616608518>, <kernel.DependentProduct object at 0x2af616608488>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups7873554091576472773nteger:((int->code_integer)->(set_int->code_integer))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af6166084d0>, <kernel.DependentProduct object at 0x2af6166081b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Complex__Ocomplex
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups3049146728041665814omplex:((int->complex)->(set_int->complex))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af616608488>, <kernel.DependentProduct object at 0x2af616608518>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af6166081b8>, <kernel.DependentProduct object at 0x2af6166084d0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af616608518>, <kernel.DependentProduct object at 0x2af616608488>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Rat__Orat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups3906332499630173760nt_rat:((int->rat)->(set_int->rat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af6166084d0>, <kernel.DependentProduct object at 0x2af6166081b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af616608488>, <kernel.DependentProduct object at 0x2af616608518>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups7501900531339628137nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af6166081b8>, <kernel.DependentProduct object at 0x2af6166084d0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af616608518>, <kernel.DependentProduct object at 0x2af616608488>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Extended____Nat__Oenat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups7108830773950497114d_enat:((nat->extended_enat)->(set_nat->extended_enat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af6166084d0>, <kernel.DependentProduct object at 0x2af6166081b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af616608488>, <kernel.DependentProduct object at 0x2af616608518>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af6166081b8>, <kernel.DependentProduct object at 0x2af6166084d0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Rat__Orat
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups2906978787729119204at_rat:((nat->rat)->(set_nat->rat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af616608518>, <kernel.DependentProduct object at 0x2af616608488>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af6166084d0>, <kernel.DependentProduct object at 0x2af61660a128>) 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
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups6381953495645901045omplex:((product_prod_nat_nat->complex)->(set_Pr1261947904930325089at_nat->complex))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af6166084d0>, <kernel.DependentProduct object at 0x2af61660a0e0>) 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
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups977919841031483927at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->nat))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af616608560>, <kernel.DependentProduct object at 0x2af61660a128>) 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
% 0.52/0.74 Using role type
% 0.52/0.74 Declaring groups4567486121110086003t_real:((product_prod_nat_nat->real)->(set_Pr1261947904930325089at_nat->real))
% 0.52/0.74 FOF formula (<kernel.Constant object at 0x2af61660a200>, <kernel.DependentProduct object at 0x2af61660a050>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups7713935264441627589nteger:((real->code_integer)->(set_real->code_integer))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a290>, <kernel.DependentProduct object at 0x2af61660a098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups5754745047067104278omplex:((real->complex)->(set_real->complex))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a248>, <kernel.DependentProduct object at 0x2af61660a200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Int__Oint
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups1932886352136224148al_int:((real->int)->(set_real->int))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a320>, <kernel.DependentProduct object at 0x2af61660a3b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a248>, <kernel.DependentProduct object at 0x2af61660a290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Rat__Orat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups1300246762558778688al_rat:((real->rat)->(set_real->rat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a3b0>, <kernel.DependentProduct object at 0x2af61660a320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a290>, <kernel.DependentProduct object at 0x2af61660a248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups3708469109370488835omplex:((complex->complex)->(set_complex->complex))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a320>, <kernel.DependentProduct object at 0x2af61660a3b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups766887009212190081x_real:((complex->real)->(set_complex->real))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a248>, <kernel.DependentProduct object at 0x2af61660a290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Complex__Ocomplex
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups7440179247065528705omplex:((int->complex)->(set_int->complex))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a3b0>, <kernel.DependentProduct object at 0x2af61660a320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a290>, <kernel.DependentProduct object at 0x2af61660a248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Real__Oreal
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups2316167850115554303t_real:((int->real)->(set_int->real))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a320>, <kernel.DependentProduct object at 0x2af61660a3b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups6464643781859351333omplex:((nat->complex)->(set_nat->complex))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a248>, <kernel.DependentProduct object at 0x2af61660a290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a3b0>, <kernel.DependentProduct object at 0x2af61660a320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a290>, <kernel.DependentProduct object at 0x2af61660a248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Rat__Orat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups73079841787564623at_rat:((nat->rat)->(set_nat->rat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a320>, <kernel.DependentProduct object at 0x2af61660a3b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Real__Oreal
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups129246275422532515t_real:((nat->real)->(set_nat->real))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a248>, <kernel.DependentProduct object at 0x2af61660a290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups713298508707869441omplex:((real->complex)->(set_real->complex))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a3b0>, <kernel.DependentProduct object at 0x2af61660a320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Rat__Orat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups4061424788464935467al_rat:((real->rat)->(set_real->rat))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a290>, <kernel.DependentProduct object at 0x2af61660a248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Real__Oreal
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups1681761925125756287l_real:((real->real)->(set_real->real))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a320>, <kernel.DependentProduct object at 0x2af61660a290>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Code____Numeral__Ointeger
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups3417619833198082522nteger:((Prop->code_integer)->(code_integer->(list_o->code_integer)))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a248>, <kernel.DependentProduct object at 0x2af61660a320>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Int__Oint
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups9116527308978886569_o_int:((Prop->int)->(int->(list_o->int)))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a290>, <kernel.DependentProduct object at 0x2af61660a248>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Nat__Onat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups9119017779487936845_o_nat:((Prop->nat)->(nat->(list_o->nat)))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a320>, <kernel.DependentProduct object at 0x2af61660afc8>) of role type named sy_c_Groups__List_Omonoid__add__class_Osum__list_001t__Nat__Onat
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring groups4561878855575611511st_nat:(list_nat->nat)
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a2d8>, <kernel.DependentProduct object at 0x2af61660f050>) of role type named sy_c_HOL_OThe_001t__Int__Oint
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring the_int:((int->Prop)->int)
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660aef0>, <kernel.DependentProduct object at 0x2af61660f098>) of role type named sy_c_HOL_OThe_001t__Real__Oreal
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring the_real:((real->Prop)->real)
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660ae18>, <kernel.DependentProduct object at 0x2af61660aef0>) of role type named sy_c_If_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring if_int_int:(Prop->((int->int)->((int->int)->(int->int))))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a320>, <kernel.DependentProduct object at 0x2af61660a248>) of role type named sy_c_If_001_062_It__Nat__Onat_M_062_It__Int__Oint_Mt__Int__Oint_J_J
% 0.52/0.75 Using role type
% 0.52/0.75 Declaring if_nat_int_int:(Prop->((nat->(int->int))->((nat->(int->int))->(nat->(int->int)))))
% 0.52/0.75 FOF formula (<kernel.Constant object at 0x2af61660a2d8>, <kernel.DependentProduct object at 0x2af61660ae18>) of role type named sy_c_If_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring if_nat_nat_nat:(Prop->((nat->(nat->nat))->((nat->(nat->nat))->(nat->(nat->nat)))))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660a248>, <kernel.DependentProduct object at 0x2af61660f1b8>) of role type named sy_c_If_001t__Code____Numeral__Ointeger
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring if_Code_integer:(Prop->(code_integer->(code_integer->code_integer)))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660a320>, <kernel.DependentProduct object at 0x2af61660f1b8>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660af80>, <kernel.DependentProduct object at 0x2af61660f128>) of role type named sy_c_If_001t__Int__Oint
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring if_int:(Prop->(int->(int->int)))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660a320>, <kernel.DependentProduct object at 0x2af61660f128>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660af80>, <kernel.DependentProduct object at 0x2af61660f128>) of role type named sy_c_If_001t__List__Olist_It__Nat__Onat_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring if_list_nat:(Prop->(list_nat->(list_nat->list_nat)))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660af80>, <kernel.DependentProduct object at 0x2af61660f128>) of role type named sy_c_If_001t__Nat__Onat
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f368>, <kernel.DependentProduct object at 0x2af61660f128>) of role type named sy_c_If_001t__Num__Onum
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring if_num:(Prop->(num->(num->num)))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f3b0>, <kernel.DependentProduct object at 0x2af61660f128>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f368>, <kernel.DependentProduct object at 0x2af61660f200>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring if_Pro5737122678794959658eger_o:(Prop->(produc6271795597528267376eger_o->(produc6271795597528267376eger_o->produc6271795597528267376eger_o)))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f128>, <kernel.DependentProduct object at 0x2af61660f2d8>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f200>, <kernel.DependentProduct object at 0x2af61660f050>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f2d8>, <kernel.DependentProduct object at 0x2af61660f3b0>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f560>, <kernel.DependentProduct object at 0x2af61660f3b0>) of role type named sy_c_If_001t__Rat__Orat
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f5f0>, <kernel.DependentProduct object at 0x2af61660f3b0>) of role type named sy_c_If_001t__Real__Oreal
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring if_real:(Prop->(real->(real->real)))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f6c8>, <kernel.DependentProduct object at 0x2af61660f3b0>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f710>, <kernel.DependentProduct object at 0x2af61660f758>) of role type named sy_c_Int_OAbs__Integ
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring abs_Integ:(product_prod_nat_nat->int)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f440>, <kernel.DependentProduct object at 0x2af61660f128>) of role type named sy_c_Int_ORep__Integ
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring rep_Integ:(int->product_prod_nat_nat)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f0e0>, <kernel.DependentProduct object at 0x2af61660f440>) of role type named sy_c_Int_Oint__ge__less__than
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring int_ge_less_than:(int->set_Pr958786334691620121nt_int)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f2d8>, <kernel.DependentProduct object at 0x2af61660f128>) of role type named sy_c_Int_Oint__ge__less__than2
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring int_ge_less_than2:(int->set_Pr958786334691620121nt_int)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f5f0>, <kernel.DependentProduct object at 0x2af61660f7a0>) of role type named sy_c_Int_Onat
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring nat2:(int->nat)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f0e0>, <kernel.Constant object at 0x2af61660f3b0>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Code____Numeral__Ointeger
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring ring_11222124179247155820nteger:set_Code_integer
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f2d8>, <kernel.Constant object at 0x2af61660f3b0>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Complex__Ocomplex
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring ring_1_Ints_complex:set_complex
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f710>, <kernel.Constant object at 0x2af61660f3b0>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Int__Oint
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring ring_1_Ints_int:set_int
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f830>, <kernel.Constant object at 0x2af61660f3b0>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Rat__Orat
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring ring_1_Ints_rat:set_rat
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f878>, <kernel.Constant object at 0x2af61660f3b0>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Real__Oreal
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring ring_1_Ints_real:set_real
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f830>, <kernel.DependentProduct object at 0x2af61660f9e0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f3b0>, <kernel.DependentProduct object at 0x2af61660fa70>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f8c0>, <kernel.DependentProduct object at 0x2af61660fb00>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring ring_1_of_int_int:(int->int)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f998>, <kernel.DependentProduct object at 0x2af61660fb48>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Rat__Orat
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring ring_1_of_int_rat:(int->rat)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660fa28>, <kernel.DependentProduct object at 0x2af61660fb90>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring ring_1_of_int_real:(int->real)
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f998>, <kernel.DependentProduct object at 0x2af61660fa28>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Extended____Nat__Oenat
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring inf_in1870772243966228564d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660fbd8>, <kernel.DependentProduct object at 0x2af61660fb90>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Nat__Onat
% 0.52/0.76 Using role type
% 0.52/0.76 Declaring inf_inf_nat:(nat->(nat->nat))
% 0.52/0.76 FOF formula (<kernel.Constant object at 0x2af61660f998>, <kernel.DependentProduct object at 0x2af61660fcb0>) of role type named sy_c_Lattices_Osemilattice__neutr__order_001t__Nat__Onat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring semila1623282765462674594er_nat:((nat->(nat->nat))->(nat->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af61660fb90>, <kernel.DependentProduct object at 0x2af61660f998>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Extended____Nat__Oenat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring sup_su3973961784419623482d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af61660fd88>, <kernel.DependentProduct object at 0x2af61660fcb0>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring sup_sup_nat:(nat->(nat->nat))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af61660fb48>, <kernel.DependentProduct object at 0x2af61660fb90>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring sup_sup_set_nat:(set_nat->(set_nat->set_nat))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af61660fd88>, <kernel.DependentProduct object at 0x2af61660fd40>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af61660fa70>, <kernel.DependentProduct object at 0x2af61660fcb0>) of role type named sy_c_Limits_OBfun_001t__Nat__Onat_001t__Real__Oreal
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring bfun_nat_real:((nat->real)->(filter_nat->Prop))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af61660fd40>, <kernel.Constant object at 0x2af61660fcb0>) of role type named sy_c_Limits_Oat__infinity_001t__Real__Oreal
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring at_infinity_real:filter_real
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af61660f758>, <kernel.DependentProduct object at 0x2af61660fd40>) of role type named sy_c_List_Oappend_001t__Int__Oint
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring append_int:(list_int->(list_int->list_int))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af61660fef0>, <kernel.DependentProduct object at 0x2af61660fcb0>) of role type named sy_c_List_Oappend_001t__Nat__Onat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring append_nat:(list_nat->(list_nat->list_nat))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af61660fd40>, <kernel.DependentProduct object at 0x2af616610098>) of role type named sy_c_List_Oconcat_001_Eo
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring concat_o:(list_list_o->list_o)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af61660ffc8>, <kernel.DependentProduct object at 0x2af616610050>) of role type named sy_c_List_Oconcat_001t__Int__Oint
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring concat_int:(list_list_int->list_int)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af61660fcb0>, <kernel.DependentProduct object at 0x2af616610128>) of role type named sy_c_List_Oconcat_001t__Nat__Onat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring concat_nat:(list_list_nat->list_nat)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af61660fd40>, <kernel.DependentProduct object at 0x2af6166100e0>) of role type named sy_c_List_Oconcat_001t__VEBT____Definitions__OVEBT
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring concat_VEBT_VEBT:(list_list_VEBT_VEBT->list_VEBT_VEBT)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af61660ff38>, <kernel.DependentProduct object at 0x2af616610170>) of role type named sy_c_List_Odistinct_001t__Int__Oint
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring distinct_int:(list_int->Prop)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af61660fa70>, <kernel.DependentProduct object at 0x2af6166101b8>) of role type named sy_c_List_Odistinct_001t__Nat__Onat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring distinct_nat:(list_nat->Prop)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af61660fd40>, <kernel.DependentProduct object at 0x2af616610128>) of role type named sy_c_List_Odrop_001t__Nat__Onat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring drop_nat:(nat->(list_nat->list_nat))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610200>, <kernel.DependentProduct object at 0x2af616610248>) of role type named sy_c_List_Olinorder__class_Osort__key_001t__Int__Oint_001t__Int__Oint
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring linord1735203802627413978nt_int:((int->int)->(list_int->list_int))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610050>, <kernel.DependentProduct object at 0x2af616610098>) of role type named sy_c_List_Olinorder__class_Osort__key_001t__Nat__Onat_001t__Nat__Onat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring linord738340561235409698at_nat:((nat->nat)->(list_nat->list_nat))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af6166102d8>, <kernel.DependentProduct object at 0x2af6166100e0>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610200>, <kernel.DependentProduct object at 0x2af616610290>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring cons_int:(int->(list_int->list_int))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af6166103f8>, <kernel.DependentProduct object at 0x2af616610050>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610440>, <kernel.Constant object at 0x2af616610050>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring nil_int:list_int
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610290>, <kernel.Constant object at 0x2af616610050>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring nil_nat:list_nat
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af6166101b8>, <kernel.DependentProduct object at 0x2af616610560>) of role type named sy_c_List_Olist_Ohd_001t__Nat__Onat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring hd_nat:(list_nat->nat)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af6166104d0>, <kernel.DependentProduct object at 0x2af616610560>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__Nat__Onat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring map_nat_nat:((nat->nat)->(list_nat->list_nat))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610440>, <kernel.DependentProduct object at 0x2af6166105a8>) of role type named sy_c_List_Olist_Oset_001_Eo
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring set_o2:(list_o->set_o)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af6166100e0>, <kernel.DependentProduct object at 0x2af6166102d8>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring set_complex2:(list_complex->set_complex)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610290>, <kernel.DependentProduct object at 0x2af616610638>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring set_int2:(list_int->set_int)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610560>, <kernel.DependentProduct object at 0x2af616610680>) of role type named sy_c_List_Olist_Oset_001t__List__Olist_I_Eo_J
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring set_list_o2:(list_list_o->set_list_o)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af6166105a8>, <kernel.DependentProduct object at 0x2af6166106c8>) of role type named sy_c_List_Olist_Oset_001t__List__Olist_It__Int__Oint_J
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring set_list_int2:(list_list_int->set_list_int)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af6166102d8>, <kernel.DependentProduct object at 0x2af616610710>) of role type named sy_c_List_Olist_Oset_001t__List__Olist_It__Nat__Onat_J
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring set_list_nat2:(list_list_nat->set_list_nat)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610638>, <kernel.DependentProduct object at 0x2af616610758>) of role type named sy_c_List_Olist_Oset_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring set_list_VEBT_VEBT2:(list_list_VEBT_VEBT->set_list_VEBT_VEBT)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610680>, <kernel.DependentProduct object at 0x2af6166107a0>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring set_nat2:(list_nat->set_nat)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610638>, <kernel.DependentProduct object at 0x2af616610680>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring set_Pr5648618587558075414at_nat:(list_P6011104703257516679at_nat->set_Pr1261947904930325089at_nat)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610758>, <kernel.DependentProduct object at 0x2af616610878>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring set_real2:(list_real->set_real)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af6166105a8>, <kernel.DependentProduct object at 0x2af6166108c0>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af6166102d8>, <kernel.DependentProduct object at 0x2af616610680>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610320>, <kernel.DependentProduct object at 0x2af6166107a0>) of role type named sy_c_List_Olist_Otl_001t__Nat__Onat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring tl_nat:(list_nat->list_nat)
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610908>, <kernel.DependentProduct object at 0x2af6166105a8>) of role type named sy_c_List_Onth_001_Eo
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring nth_o:(list_o->(nat->Prop))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610878>, <kernel.DependentProduct object at 0x2af616610680>) of role type named sy_c_List_Onth_001t__Code____Numeral__Ointeger
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring nth_Code_integer:(list_Code_integer->(nat->code_integer))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af6166102d8>, <kernel.DependentProduct object at 0x2af616610908>) of role type named sy_c_List_Onth_001t__Complex__Ocomplex
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring nth_complex:(list_complex->(nat->complex))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610758>, <kernel.DependentProduct object at 0x2af6166102d8>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring nth_int:(list_int->(nat->int))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610320>, <kernel.DependentProduct object at 0x2af616610878>) of role type named sy_c_List_Onth_001t__List__Olist_It__Nat__Onat_J
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring nth_list_nat:(list_list_nat->(nat->list_nat))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610a28>, <kernel.DependentProduct object at 0x2af616610320>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring nth_nat:(list_nat->(nat->nat))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610b48>, <kernel.DependentProduct object at 0x2af616610878>) of role type named sy_c_List_Onth_001t__Num__Onum
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring nth_num:(list_num->(nat->num))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610b90>, <kernel.DependentProduct object at 0x2af616610908>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring nth_Product_prod_o_o:(list_P4002435161011370285od_o_o->(nat->product_prod_o_o))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610a28>, <kernel.DependentProduct object at 0x2af616610b90>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring nth_Pr1649062631805364268_o_int:(list_P3795440434834930179_o_int->(nat->product_prod_o_int))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610908>, <kernel.DependentProduct object at 0x2af616610a28>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring nth_Pr5826913651314560976_o_nat:(list_P6285523579766656935_o_nat->(nat->product_prod_o_nat))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610b90>, <kernel.DependentProduct object at 0x2af616610908>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring nth_Pr6777367263587873994T_VEBT:(list_P7495141550334521929T_VEBT->(nat->produc2504756804600209347T_VEBT))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0x2af616610a28>, <kernel.DependentProduct object at 0x2af616610b90>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring nth_Pr8522763379788166057eger_o:(list_P8526636022914148096eger_o->(nat->produc6271795597528267376eger_o))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af616610908>, <kernel.DependentProduct object at 0x2af616610a28>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring nth_Pr7617993195940197384at_nat:(list_P6011104703257516679at_nat->(nat->product_prod_nat_nat))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af616610b90>, <kernel.DependentProduct object at 0x2af616610908>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring nth_Pr6456567536196504476um_num:(list_P3744719386663036955um_num->(nat->product_prod_num_num))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af616610a28>, <kernel.DependentProduct object at 0x2af616610b90>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af616610908>, <kernel.DependentProduct object at 0x2af616610a28>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring nth_Pr6837108013167703752BT_int:(list_P4547456442757143711BT_int->(nat->produc4894624898956917775BT_int))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af616610b90>, <kernel.DependentProduct object at 0x2af616615050>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring nth_Pr1791586995822124652BT_nat:(list_P7037539587688870467BT_nat->(nat->produc9072475918466114483BT_nat))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af616610a28>, <kernel.DependentProduct object at 0x2af616615128>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af6166102d8>, <kernel.DependentProduct object at 0x2af616615098>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring nth_real:(list_real->(nat->real))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af616610c68>, <kernel.DependentProduct object at 0x2af6166151b8>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af6166102d8>, <kernel.DependentProduct object at 0x2af616615290>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af616610f38>, <kernel.DependentProduct object at 0x2af6166152d8>) of role type named sy_c_List_Oproduct_001_Eo_001t__Int__Oint
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring product_o_int:(list_o->(list_int->list_P3795440434834930179_o_int))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af616610f38>, <kernel.DependentProduct object at 0x2af616615050>) of role type named sy_c_List_Oproduct_001_Eo_001t__Nat__Onat
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring product_o_nat:(list_o->(list_nat->list_P6285523579766656935_o_nat))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af616615200>, <kernel.DependentProduct object at 0x2af616615320>) of role type named sy_c_List_Oproduct_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring product_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af616615170>, <kernel.DependentProduct object at 0x2af616615200>) of role type named sy_c_List_Oproduct_001t__Code____Numeral__Ointeger_001_Eo
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring produc3607205314601156340eger_o:(list_Code_integer->(list_o->list_P8526636022914148096eger_o))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af616615368>, <kernel.DependentProduct object at 0x2af616615320>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001_Eo
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring product_nat_o:(list_nat->(list_o->list_P7333126701944960589_nat_o))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af616615170>, <kernel.DependentProduct object at 0x2af616615368>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring produc7156399406898700509T_VEBT:(list_nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af6166153b0>, <kernel.DependentProduct object at 0x2af616615320>) of role type named sy_c_List_Oproduct_001t__Num__Onum_001t__Num__Onum
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring product_num_num:(list_num->(list_num->list_P3744719386663036955um_num))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af616615518>, <kernel.DependentProduct object at 0x2af616615170>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af6166153b0>, <kernel.DependentProduct object at 0x2af616615518>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring produc7292646706713671643BT_int:(list_VEBT_VEBT->(list_int->list_P4547456442757143711BT_int))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af616615170>, <kernel.DependentProduct object at 0x2af6166153b0>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring produc7295137177222721919BT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af616615518>, <kernel.DependentProduct object at 0x2af616615170>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af6166151b8>, <kernel.DependentProduct object at 0x2af616615758>) of role type named sy_c_List_Oremdups_001t__Nat__Onat
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring remdups_nat:(list_nat->list_nat)
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af616615560>, <kernel.DependentProduct object at 0x2af616615518>) of role type named sy_c_List_Oreplicate_001_Eo
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring replicate_o:(nat->(Prop->list_o))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af6166155a8>, <kernel.DependentProduct object at 0x2af616615170>) of role type named sy_c_List_Oreplicate_001t__Complex__Ocomplex
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring replicate_complex:(nat->(complex->list_complex))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af6166153b0>, <kernel.DependentProduct object at 0x2af616615560>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring replicate_int:(nat->(int->list_int))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af6166157e8>, <kernel.DependentProduct object at 0x2af6166155a8>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af6166153b0>, <kernel.DependentProduct object at 0x2af6166157e8>) of role type named sy_c_List_Oreplicate_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring replic4235873036481779905at_nat:(nat->(product_prod_nat_nat->list_P6011104703257516679at_nat))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af616615518>, <kernel.DependentProduct object at 0x2af6166155a8>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring replicate_real:(nat->(real->list_real))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af6166151b8>, <kernel.DependentProduct object at 0x2af6166153b0>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0x2af616615950>, <kernel.DependentProduct object at 0x2af616615638>) of role type named sy_c_List_Osorted__wrt_001t__Int__Oint
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring sorted_wrt_int:((int->(int->Prop))->(list_int->Prop))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af6166153b0>, <kernel.DependentProduct object at 0x2af6166159e0>) of role type named sy_c_List_Osorted__wrt_001t__Nat__Onat
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring sorted_wrt_nat:((nat->(nat->Prop))->(list_nat->Prop))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615638>, <kernel.DependentProduct object at 0x2af616615a28>) of role type named sy_c_List_Osubseqs_001_Eo
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring subseqs_o:(list_o->list_list_o)
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af6166156c8>, <kernel.DependentProduct object at 0x2af616615ab8>) of role type named sy_c_List_Osubseqs_001t__Int__Oint
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring subseqs_int:(list_int->list_list_int)
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615518>, <kernel.DependentProduct object at 0x2af616615b00>) of role type named sy_c_List_Osubseqs_001t__Nat__Onat
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring subseqs_nat:(list_nat->list_list_nat)
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615758>, <kernel.DependentProduct object at 0x2af616615a28>) of role type named sy_c_List_Osubseqs_001t__VEBT____Definitions__OVEBT
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring subseqs_VEBT_VEBT:(list_VEBT_VEBT->list_list_VEBT_VEBT)
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af6166159e0>, <kernel.DependentProduct object at 0x2af616615758>) of role type named sy_c_List_Otake_001t__Nat__Onat
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring take_nat:(nat->(list_nat->list_nat))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615b90>, <kernel.DependentProduct object at 0x2af6166156c8>) of role type named sy_c_List_Oupt
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring upt:(nat->(nat->list_nat))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615c20>, <kernel.DependentProduct object at 0x2af616615a28>) of role type named sy_c_List_Oupto
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring upto:(int->(int->list_int))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615bd8>, <kernel.DependentProduct object at 0x2af616615b90>) of role type named sy_c_List_Oupto__aux
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615638>, <kernel.DependentProduct object at 0x2af616615c20>) of role type named sy_c_List_Oupto__rel
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring upto_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615cb0>, <kernel.DependentProduct object at 0x2af616615758>) of role type named sy_c_Nat_OSuc
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring suc:(nat->nat)
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615a28>, <kernel.DependentProduct object at 0x2af616615d88>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615b00>, <kernel.DependentProduct object at 0x2af616615e18>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615638>, <kernel.DependentProduct object at 0x2af616615dd0>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615cf8>, <kernel.DependentProduct object at 0x2af616615e60>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Option__Ooption_It__Num__Onum_J
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring case_nat_option_num:(option_num->((nat->option_num)->(nat->option_num)))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615ea8>, <kernel.DependentProduct object at 0x2af616615d88>) of role type named sy_c_Nat_Onat_Opred
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring pred:(nat->nat)
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615cf8>, <kernel.DependentProduct object at 0x2af616615ef0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615d88>, <kernel.DependentProduct object at 0x2af616615cb0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615ef0>, <kernel.DependentProduct object at 0x2af616615f80>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Extended____Nat__Oenat
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring semiri4216267220026989637d_enat:(nat->extended_enat)
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615cb0>, <kernel.DependentProduct object at 0x2af616618050>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615f80>, <kernel.DependentProduct object at 0x2af6166180e0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615f38>, <kernel.DependentProduct object at 0x2af616618170>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615f38>, <kernel.DependentProduct object at 0x2af616618200>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616615b00>, <kernel.DependentProduct object at 0x2af616618050>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Complex__Ocomplex
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring semiri2816024913162550771omplex:((complex->complex)->(nat->(complex->complex)))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616618290>, <kernel.DependentProduct object at 0x2af6166182d8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Int__Oint
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring semiri8420488043553186161ux_int:((int->int)->(nat->(int->int)))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616618368>, <kernel.DependentProduct object at 0x2af6166180e0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Nat__Onat
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring semiri8422978514062236437ux_nat:((nat->nat)->(nat->(nat->nat)))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af6166183b0>, <kernel.DependentProduct object at 0x2af616618290>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Rat__Orat
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring semiri7787848453975740701ux_rat:((rat->rat)->(nat->(rat->rat)))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af6166183f8>, <kernel.DependentProduct object at 0x2af616618488>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Real__Oreal
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring semiri7260567687927622513x_real:((real->real)->(nat->(real->real)))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616618518>, <kernel.DependentProduct object at 0x2af6166185f0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring size_size_list_o:(list_o->nat)
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af6166183f8>, <kernel.DependentProduct object at 0x2af6166185a8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring size_s3445333598471063425nteger:(list_Code_integer->nat)
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af6166185f0>, <kernel.DependentProduct object at 0x2af616618638>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af616618170>, <kernel.DependentProduct object at 0x2af6166186c8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring size_size_list_int:(list_int->nat)
% 0.57/0.79 FOF formula (<kernel.Constant object at 0x2af6166185f0>, <kernel.DependentProduct object at 0x2af616618710>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__List__Olist_I_Eo_J_J
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_s2710708370519433104list_o:(list_list_o->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af6166186c8>, <kernel.DependentProduct object at 0x2af6166187a0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__List__Olist_It__Int__Oint_J_J
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_s533118279054570080st_int:(list_list_int->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af616618710>, <kernel.DependentProduct object at 0x2af616618830>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__List__Olist_It__Nat__Onat_J_J
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_s3023201423986296836st_nat:(list_list_nat->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af6166187a0>, <kernel.DependentProduct object at 0x2af6166188c0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_s8217280938318005548T_VEBT:(list_list_VEBT_VEBT->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af6166183b0>, <kernel.DependentProduct object at 0x2af616618950>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_size_list_nat:(list_nat->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af6166187e8>, <kernel.DependentProduct object at 0x2af616618998>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Num__Onum_J
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_size_list_num:(list_num->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af6166183b0>, <kernel.DependentProduct object at 0x2af6166189e0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_s1515746228057227161od_o_o:(list_P4002435161011370285od_o_o->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af616618998>, <kernel.DependentProduct object at 0x2af616618a70>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_s2953683556165314199_o_int:(list_P3795440434834930179_o_int->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af6166189e0>, <kernel.DependentProduct object at 0x2af616618b00>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_s5443766701097040955_o_nat:(list_P6285523579766656935_o_nat->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af616618a70>, <kernel.DependentProduct object at 0x2af616618b90>) 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
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_s4313452262239582901T_VEBT:(list_P7495141550334521929T_VEBT->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af616618b00>, <kernel.DependentProduct object at 0x2af616618c20>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_s6491369823275344609_nat_o:(list_P7333126701944960589_nat_o->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af616618b90>, <kernel.DependentProduct object at 0x2af616618cb0>) 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
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_s5460976970255530739at_nat:(list_P6011104703257516679at_nat->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af616618c20>, <kernel.DependentProduct object at 0x2af616618d40>) 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
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_s4762443039079500285T_VEBT:(list_P5647936690300460905T_VEBT->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af616618cb0>, <kernel.DependentProduct object at 0x2af616618dd0>) 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
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_s9168528473962070013VEBT_o:(list_P3126845725202233233VEBT_o->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af616618d40>, <kernel.DependentProduct object at 0x2af616618e60>) 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
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_s3661962791536183091BT_int:(list_P4547456442757143711BT_int->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af616618dd0>, <kernel.DependentProduct object at 0x2af616618ef0>) 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
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_s6152045936467909847BT_nat:(list_P7037539587688870467BT_nat->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af616618e60>, <kernel.DependentProduct object at 0x2af616618f80>) 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
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_s7466405169056248089T_VEBT:(list_P7413028617227757229T_VEBT->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af616618ea8>, <kernel.DependentProduct object at 0x2344050>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_size_list_real:(list_real->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af616618e60>, <kernel.DependentProduct object at 0x2344098>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af616618d40>, <kernel.DependentProduct object at 0x2344128>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_size_num:(num->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af616618ea8>, <kernel.DependentProduct object at 0x2344170>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_size_option_num:(option_num->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af616618ea8>, <kernel.DependentProduct object at 0x23441b8>) 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
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af616618d40>, <kernel.DependentProduct object at 0x2344248>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af616618d40>, <kernel.DependentProduct object at 0x23442d8>) of role type named sy_c_Nat__Bijection_Olist__encode
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring nat_list_encode:(list_nat->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af616618ea8>, <kernel.DependentProduct object at 0x2344098>) of role type named sy_c_Nat__Bijection_Olist__encode__rel
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring nat_list_encode_rel:(list_nat->(list_nat->Prop))
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2af616618ea8>, <kernel.DependentProduct object at 0x2344200>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2344248>, <kernel.DependentProduct object at 0x23440e0>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2344290>, <kernel.DependentProduct object at 0x2344440>) of role type named sy_c_Nat__Bijection_Oprod__encode
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring nat_prod_encode:(product_prod_nat_nat->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x23442d8>, <kernel.DependentProduct object at 0x2344488>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring nat_set_decode:(nat->set_nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x23441b8>, <kernel.DependentProduct object at 0x23444d0>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring nat_set_encode:(set_nat->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2344128>, <kernel.DependentProduct object at 0x2344518>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring nat_triangle:(nat->nat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2344440>, <kernel.DependentProduct object at 0x2344200>) of role type named sy_c_NthRoot_Oroot
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring root:(nat->(real->real))
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x23442d8>, <kernel.DependentProduct object at 0x2344560>) of role type named sy_c_NthRoot_Osqrt
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring sqrt:(real->real)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2344488>, <kernel.DependentProduct object at 0x2344518>) of role type named sy_c_Num_OBitM
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring bitM:(num->num)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2344128>, <kernel.DependentProduct object at 0x23445f0>) of role type named sy_c_Num_Oinc
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring inc:(num->num)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2344488>, <kernel.DependentProduct object at 0x2344638>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x23445f0>, <kernel.DependentProduct object at 0x23446c8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2344200>, <kernel.DependentProduct object at 0x2344758>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring neg_numeral_dbl_int:(int->int)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x23442d8>, <kernel.DependentProduct object at 0x23447a0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2344680>, <kernel.DependentProduct object at 0x23447e8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring neg_numeral_dbl_real:(real->real)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x23442d8>, <kernel.DependentProduct object at 0x2344830>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x23447e8>, <kernel.DependentProduct object at 0x23448c0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2344830>, <kernel.DependentProduct object at 0x2344950>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x23448c0>, <kernel.DependentProduct object at 0x23449e0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2344950>, <kernel.DependentProduct object at 0x2344a70>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x23449e0>, <kernel.DependentProduct object at 0x2344b00>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Code____Numeral__Ointeger
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring neg_nu5831290666863070958nteger:(code_integer->code_integer)
% 0.57/0.80 FOF formula (<kernel.Constant object at 0x2344a70>, <kernel.DependentProduct object at 0x2344b90>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Complex__Ocomplex
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring neg_nu8557863876264182079omplex:(complex->complex)
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x2344b00>, <kernel.DependentProduct object at 0x2344c20>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Int__Oint
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring neg_nu5851722552734809277nc_int:(int->int)
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x2344b90>, <kernel.DependentProduct object at 0x2344cb0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Rat__Orat
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring neg_nu5219082963157363817nc_rat:(rat->rat)
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x2344c20>, <kernel.DependentProduct object at 0x2344d40>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Real__Oreal
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring neg_nu8295874005876285629c_real:(real->real)
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x23446c8>, <kernel.DependentProduct object at 0x2344cb0>) of role type named sy_c_Num_Oneg__numeral__class_Osub_001t__Int__Oint
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring neg_numeral_sub_int:(num->(num->int))
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x2344dd0>, <kernel.DependentProduct object at 0x2344e18>) of role type named sy_c_Num_Onum_OBit0
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring bit0:(num->num)
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x2344cf8>, <kernel.DependentProduct object at 0x2344c68>) of role type named sy_c_Num_Onum_OBit1
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring bit1:(num->num)
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x2344d40>, <kernel.Constant object at 0x2344c68>) of role type named sy_c_Num_Onum_OOne
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring one:num
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x2344e18>, <kernel.DependentProduct object at 0x2344f80>) of role type named sy_c_Num_Onum_Ocase__num_001t__Option__Ooption_It__Num__Onum_J
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring case_num_option_num:(option_num->((num->option_num)->((num->option_num)->(num->option_num))))
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x2344f38>, <kernel.DependentProduct object at 0x2344ef0>) of role type named sy_c_Num_Onum_Osize__num
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring size_num:(num->nat)
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x2344c20>, <kernel.DependentProduct object at 0x2344cf8>) of role type named sy_c_Num_Onum__of__nat
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring num_of_nat:(nat->num)
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x2344f38>, <kernel.DependentProduct object at 0x2344cb0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x2344cf8>, <kernel.DependentProduct object at 0x232a0e0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring numera6690914467698888265omplex:(num->complex)
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x2344cb0>, <kernel.DependentProduct object at 0x232a128>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x2344c68>, <kernel.DependentProduct object at 0x232a1b8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring numeral_numeral_int:(num->int)
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x2344e18>, <kernel.DependentProduct object at 0x232a200>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring numeral_numeral_nat:(num->nat)
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x2344c68>, <kernel.DependentProduct object at 0x232a248>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring numeral_numeral_rat:(num->rat)
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x2344cb0>, <kernel.DependentProduct object at 0x232a290>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring numeral_numeral_real:(num->real)
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x2344cb0>, <kernel.DependentProduct object at 0x232a128>) of role type named sy_c_Num_Opow
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring pow:(num->(num->num))
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x232a2d8>, <kernel.DependentProduct object at 0x232a320>) of role type named sy_c_Num_Opred__numeral
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring pred_numeral:(num->nat)
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x232a248>, <kernel.DependentProduct object at 0x232a098>) of role type named sy_c_Num_Osqr
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring sqr:(num->num)
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x232a290>, <kernel.Constant object at 0x232a098>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring none_num:option_num
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x232a248>, <kernel.Constant object at 0x232a320>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x232a1b8>, <kernel.DependentProduct object at 0x232a488>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring some_num:(num->option_num)
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x232a248>, <kernel.DependentProduct object at 0x232a1b8>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x232a488>, <kernel.DependentProduct object at 0x232a560>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x232a5a8>, <kernel.DependentProduct object at 0x232a680>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Int__Oint_001t__Num__Onum
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring case_option_int_num:(int->((num->int)->(option_num->int)))
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x232a638>, <kernel.DependentProduct object at 0x232a6c8>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x232a5a8>, <kernel.DependentProduct object at 0x232a248>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x232a758>, <kernel.DependentProduct object at 0x232a4d0>) of role type named sy_c_Option_Ooption_Omap__option_001t__Num__Onum_001t__Num__Onum
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring map_option_num_num:((num->num)->(option_num->option_num))
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x232a6c8>, <kernel.DependentProduct object at 0x232a710>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x232a758>, <kernel.DependentProduct object at 0x232a7a0>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x232a710>, <kernel.Constant object at 0x232a1b8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Extended____Nat__Oenat
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring bot_bo4199563552545308370d_enat:extended_enat
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x232a7e8>, <kernel.Constant object at 0x232a1b8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring bot_bot_nat:nat
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x232a248>, <kernel.Constant object at 0x232a1b8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.57/0.81 Using role type
% 0.57/0.81 Declaring bot_bot_set_int:set_int
% 0.57/0.81 FOF formula (<kernel.Constant object at 0x232a4d0>, <kernel.Constant object at 0x232a1b8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring bot_bot_set_nat:set_nat
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232a878>, <kernel.DependentProduct object at 0x232a9e0>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_less_complex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232a1b8>, <kernel.DependentProduct object at 0x232aa28>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Int__Oint_M_Eo_J
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_less_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232a9e0>, <kernel.DependentProduct object at 0x232aa70>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Nat__Onat_M_Eo_J
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_less_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232a1b8>, <kernel.DependentProduct object at 0x232aab8>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_le549003669493604880_nat_o:((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232a998>, <kernel.DependentProduct object at 0x232ab48>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Real__Oreal_M_Eo_J
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_less_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232a1b8>, <kernel.DependentProduct object at 0x232a998>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232ab48>, <kernel.DependentProduct object at 0x232a1b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232ab90>, <kernel.DependentProduct object at 0x232a998>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_less_int:(int->(int->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232ac20>, <kernel.DependentProduct object at 0x232ab48>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232aab8>, <kernel.DependentProduct object at 0x232ab90>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_less_num:(num->(num->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232a248>, <kernel.DependentProduct object at 0x232ac20>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232a1b8>, <kernel.DependentProduct object at 0x232aab8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_less_real:(real->(real->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232a248>, <kernel.DependentProduct object at 0x232a1b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_le1307284697595431911nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232ab48>, <kernel.DependentProduct object at 0x232aab8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232ae18>, <kernel.DependentProduct object at 0x232a248>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232ac20>, <kernel.DependentProduct object at 0x232ab48>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232a998>, <kernel.DependentProduct object at 0x232ae18>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232ac20>, <kernel.DependentProduct object at 0x232a248>) 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
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_le7866589430770878221at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232af80>, <kernel.DependentProduct object at 0x232ae18>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232afc8>, <kernel.DependentProduct object at 0x232e098>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232aab8>, <kernel.DependentProduct object at 0x232e0e0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_less_set_set_int:(set_set_int->(set_set_int->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232afc8>, <kernel.DependentProduct object at 0x232e170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_le4573692005234683329plex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232a248>, <kernel.DependentProduct object at 0x232e200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_Eo_J
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_less_eq_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232ab48>, <kernel.DependentProduct object at 0x232e248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_Eo_J
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_less_eq_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232e128>, <kernel.DependentProduct object at 0x232e290>) 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
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_le704812498762024988_nat_o:((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232ab48>, <kernel.DependentProduct object at 0x232e320>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Real__Oreal_M_Eo_J
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_less_eq_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232e050>, <kernel.DependentProduct object at 0x232e2d8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232e290>, <kernel.DependentProduct object at 0x232e050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232e2d8>, <kernel.DependentProduct object at 0x232e290>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.57/0.82 Using role type
% 0.57/0.82 Declaring ord_le2510731241096832064er_nat:(filter_nat->(filter_nat->Prop))
% 0.57/0.82 FOF formula (<kernel.Constant object at 0x232e050>, <kernel.DependentProduct object at 0x232e2d8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Real__Oreal_J
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_le4104064031414453916r_real:(filter_real->(filter_real->Prop))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232e488>, <kernel.DependentProduct object at 0x232e290>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232e518>, <kernel.DependentProduct object at 0x232e050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232e368>, <kernel.DependentProduct object at 0x232e488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232e3f8>, <kernel.DependentProduct object at 0x232e518>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232e2d8>, <kernel.DependentProduct object at 0x232e368>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232e3f8>, <kernel.DependentProduct object at 0x232e2d8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_le7084787975880047091nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232e368>, <kernel.DependentProduct object at 0x232e3f8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232e710>, <kernel.DependentProduct object at 0x232e2d8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232e368>, <kernel.DependentProduct object at 0x232e710>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_le6045566169113846134st_nat:(set_list_nat->(set_list_nat->Prop))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232e290>, <kernel.DependentProduct object at 0x232e2d8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232e878>, <kernel.DependentProduct object at 0x232e368>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Num__Onum_J
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_less_eq_set_num:(set_num->(set_num->Prop))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232e290>, <kernel.DependentProduct object at 0x232e710>) 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
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_le3146513528884898305at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232e950>, <kernel.DependentProduct object at 0x232e368>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Rat__Orat_J
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_less_eq_set_rat:(set_rat->(set_rat->Prop))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232e998>, <kernel.DependentProduct object at 0x232e290>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232e950>, <kernel.DependentProduct object at 0x232e998>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_le4403425263959731960et_int:(set_set_int->(set_set_int->Prop))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232e290>, <kernel.DependentProduct object at 0x232e950>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232e998>, <kernel.DependentProduct object at 0x232e290>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Extended____Nat__Oenat
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_ma741700101516333627d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232eb90>, <kernel.DependentProduct object at 0x232e950>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_max_int:(int->(int->int))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232eab8>, <kernel.DependentProduct object at 0x232e998>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_max_nat:(nat->(nat->nat))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232eb90>, <kernel.DependentProduct object at 0x232eab8>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Extended____Nat__Oenat
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_mi8085742599997312461d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232e2d8>, <kernel.DependentProduct object at 0x232e998>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Nat__Onat
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring ord_min_nat:(nat->(nat->nat))
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232ec68>, <kernel.DependentProduct object at 0x232ed88>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Nat__Onat
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring order_Greatest_nat:((nat->Prop)->nat)
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232e2d8>, <kernel.DependentProduct object at 0x232eb90>) of role type named sy_c_Orderings_Oorder__class_Oantimono_001t__Nat__Onat_001t__Real__Oreal
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring order_9091379641038594480t_real:((nat->real)->Prop)
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232ec20>, <kernel.DependentProduct object at 0x232ee18>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232edd0>, <kernel.DependentProduct object at 0x232ed88>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Real__Oreal
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring order_mono_nat_real:((nat->real)->Prop)
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232ec20>, <kernel.DependentProduct object at 0x232e2d8>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Nat__Onat
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring order_5726023648592871131at_nat:((nat->nat)->Prop)
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232ed88>, <kernel.DependentProduct object at 0x232ef38>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Real__Oreal_001t__Real__Oreal
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring order_7092887310737990675l_real:((real->real)->Prop)
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232eab8>, <kernel.Constant object at 0x232ef38>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_Eo_J
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring top_top_set_o:set_o
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232eea8>, <kernel.Constant object at 0x232ef38>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring top_top_set_nat:set_nat
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232eab8>, <kernel.Constant object at 0x232ee60>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Ounit_J
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring top_to1996260823553986621t_unit:set_Product_unit
% 0.57/0.83 FOF formula (<kernel.Constant object at 0x232efc8>, <kernel.Constant object at 0x232ec20>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.57/0.83 Using role type
% 0.57/0.83 Declaring top_top_set_real:set_real
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x232ef38>, <kernel.Constant object at 0x2331050>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring top_top_set_char:set_char
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x232ec20>, <kernel.DependentProduct object at 0x23311b8>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x232ef38>, <kernel.DependentProduct object at 0x2331050>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring power_power_complex:(complex->(nat->complex))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x2331098>, <kernel.DependentProduct object at 0x2331320>) of role type named sy_c_Power_Opower__class_Opower_001t__Extended____Nat__Oenat
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring power_8040749407984259932d_enat:(extended_enat->(nat->extended_enat))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x232ec20>, <kernel.DependentProduct object at 0x2331248>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring power_power_int:(int->(nat->int))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x2331200>, <kernel.DependentProduct object at 0x23312d8>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring power_power_nat:(nat->(nat->nat))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x23313b0>, <kernel.DependentProduct object at 0x2331098>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring power_power_rat:(rat->(nat->rat))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x23311b8>, <kernel.DependentProduct object at 0x2331200>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring power_power_real:(real->(nat->real))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x23313b0>, <kernel.DependentProduct object at 0x23312d8>) 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
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring produc3209952032786966637at_nat:((nat->(nat->nat))->(produc7248412053542808358at_nat->produc4471711990508489141at_nat))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x2331200>, <kernel.DependentProduct object at 0x2331098>) 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
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring produc851828971589881931at_num:((nat->(num->num))->(produc2963631642982155120at_num->produc3368934014287244435at_num))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x2331560>, <kernel.DependentProduct object at 0x2331248>) of role type named sy_c_Product__Type_OPair_001_Eo_001_Eo
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring product_Pair_o_o:(Prop->(Prop->product_prod_o_o))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x2331368>, <kernel.DependentProduct object at 0x2331248>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Int__Oint
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring product_Pair_o_int:(Prop->(int->product_prod_o_int))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x2331098>, <kernel.DependentProduct object at 0x2331248>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Nat__Onat
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring product_Pair_o_nat:(Prop->(nat->product_prod_o_nat))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x2331368>, <kernel.DependentProduct object at 0x2331518>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring produc2982872950893828659T_VEBT:(Prop->(vEBT_VEBT->produc2504756804600209347T_VEBT))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x2331248>, <kernel.DependentProduct object at 0x2331758>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x2331518>, <kernel.DependentProduct object at 0x2331248>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x23317e8>, <kernel.DependentProduct object at 0x2331758>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x23317a0>, <kernel.DependentProduct object at 0x2331518>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x2331878>, <kernel.DependentProduct object at 0x23317e8>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Num__Onum
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring product_Pair_nat_num:(nat->(num->product_prod_nat_num))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x23317a0>, <kernel.DependentProduct object at 0x2331878>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring produc487386426758144856at_nat:(nat->(product_prod_nat_nat->produc7248412053542808358at_nat))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x23317e8>, <kernel.DependentProduct object at 0x23317a0>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring produc1195630363706982562at_num:(nat->(product_prod_nat_num->produc2963631642982155120at_num))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x23319e0>, <kernel.DependentProduct object at 0x2331878>) of role type named sy_c_Product__Type_OPair_001t__Num__Onum_001t__Num__Onum
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring product_Pair_num_num:(num->(num->product_prod_num_num))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x23317e8>, <kernel.DependentProduct object at 0x2331710>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x2331878>, <kernel.DependentProduct object at 0x23317e8>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring produc736041933913180425BT_int:(vEBT_VEBT->(int->produc4894624898956917775BT_int))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x2331710>, <kernel.DependentProduct object at 0x2331878>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x23317e8>, <kernel.DependentProduct object at 0x2331710>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x2331878>, <kernel.DependentProduct object at 0x2331d40>) of role type named sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Nat__Onat
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring produc457027306803732586at_nat:(set_nat->((nat->set_nat)->set_Pr1261947904930325089at_nat))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x2331710>, <kernel.DependentProduct object at 0x2331b48>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.57/0.84 Using role type
% 0.57/0.84 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.57/0.84 FOF formula (<kernel.Constant object at 0x2331d40>, <kernel.DependentProduct object at 0x2331b00>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x2331b48>, <kernel.DependentProduct object at 0x2331dd0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x2331b00>, <kernel.DependentProduct object at 0x2331bd8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc7336495610019696514er_num:((code_integer->(code_integer->num))->(produc8923325533196201883nteger->num))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x2331dd0>, <kernel.DependentProduct object at 0x2331d88>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x2331bd8>, <kernel.DependentProduct object at 0x2331cf8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x2331d88>, <kernel.DependentProduct object at 0x2333128>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Complex__Ocomplex_001t__Complex__Ocomplex_001_Eo
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc6771430404735790350plex_o:((complex->(complex->Prop))->(produc4411394909380815293omplex->Prop))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x2331cf8>, <kernel.DependentProduct object at 0x2333098>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x2331cf8>, <kernel.DependentProduct object at 0x2333170>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc8211389475949308722nt_int:((int->(int->int))->(product_prod_int_int->int))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x2331c68>, <kernel.DependentProduct object at 0x2333128>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x2333200>, <kernel.DependentProduct object at 0x2333368>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc8739625826339149834_nat_o:((nat->(nat->(product_prod_nat_nat->Prop)))->(product_prod_nat_nat->(product_prod_nat_nat->Prop)))
% 0.65/0.84 FOF formula (<kernel.Constant object at 0x2333128>, <kernel.DependentProduct object at 0x23333f8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.65/0.84 Using role type
% 0.65/0.84 Declaring produc27273713700761075at_nat:((nat->(nat->(product_prod_nat_nat->product_prod_nat_nat)))->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333368>, <kernel.DependentProduct object at 0x23333b0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333248>, <kernel.DependentProduct object at 0x2333170>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring produc6842872674320459806at_nat:((nat->(nat->nat))->(product_prod_nat_nat->nat))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333368>, <kernel.DependentProduct object at 0x2333488>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333170>, <kernel.DependentProduct object at 0x2333518>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Option__Ooption_It__Num__Onum_J
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring produc478579273971653890on_num:((nat->(num->option_num))->(product_prod_nat_num->option_num))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333488>, <kernel.DependentProduct object at 0x2333200>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Real__Oreal_001t__Real__Oreal_001_Eo
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring produc5414030515140494994real_o:((real->(real->Prop))->(produc2422161461964618553l_real->Prop))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333680>, <kernel.DependentProduct object at 0x2333710>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x23333b0>, <kernel.DependentProduct object at 0x2333758>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333680>, <kernel.DependentProduct object at 0x23337a0>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring produc6174133586879617921nteger:(produc8923325533196201883nteger->code_integer)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333710>, <kernel.DependentProduct object at 0x2333830>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333518>, <kernel.DependentProduct object at 0x2333878>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333488>, <kernel.DependentProduct object at 0x2333710>) of role type named sy_c_Rat_OFract
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring fract:(int->(int->rat))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x23338c0>, <kernel.DependentProduct object at 0x2333908>) of role type named sy_c_Rat_ORep__Rat
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring rep_Rat:(rat->product_prod_int_int)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333488>, <kernel.Constant object at 0x2333878>) of role type named sy_c_Rat_Ofield__char__0__class_ORats_001t__Real__Oreal
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring field_5140801741446780682s_real:set_real
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333908>, <kernel.DependentProduct object at 0x23339e0>) of role type named sy_c_Rat_Ofield__char__0__class_Oof__rat_001t__Real__Oreal
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring field_7254667332652039916t_real:(rat->real)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333710>, <kernel.DependentProduct object at 0x2333a70>) of role type named sy_c_Rat_Onormalize
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333518>, <kernel.DependentProduct object at 0x2333878>) of role type named sy_c_Rat_Opositive
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring positive:(rat->Prop)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333710>, <kernel.Constant object at 0x23339e0>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Complex__Ocomplex
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring real_V2521375963428798218omplex:set_complex
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333878>, <kernel.Constant object at 0x2333908>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Real__Oreal
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring real_V470468836141973256s_real:set_real
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x23339e0>, <kernel.DependentProduct object at 0x2333878>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Complex__Ocomplex
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring real_V3694042436643373181omplex:(complex->(complex->real))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333908>, <kernel.DependentProduct object at 0x23339e0>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Real__Oreal
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring real_V975177566351809787t_real:(real->(real->real))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333878>, <kernel.DependentProduct object at 0x2333c20>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x23339e0>, <kernel.DependentProduct object at 0x2333dd0>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring real_V7735802525324610683m_real:(real->real)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333c20>, <kernel.DependentProduct object at 0x2333e60>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333dd0>, <kernel.DependentProduct object at 0x2333ef0>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Real__Oreal
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring real_V1803761363581548252l_real:(real->real)
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333e60>, <kernel.DependentProduct object at 0x2333dd0>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Complex__Ocomplex
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring real_V2046097035970521341omplex:(real->(complex->complex))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333ef0>, <kernel.DependentProduct object at 0x2333e60>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Real__Oreal
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring real_V1485227260804924795R_real:(real->(real->real))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333dd0>, <kernel.DependentProduct object at 0x2333ea8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333dd0>, <kernel.DependentProduct object at 0x23350e0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333ea8>, <kernel.DependentProduct object at 0x23351b8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring divide_divide_int:(int->(int->int))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333f80>, <kernel.DependentProduct object at 0x2335290>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.65/0.85 FOF formula (<kernel.Constant object at 0x2333ea8>, <kernel.DependentProduct object at 0x2335170>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.65/0.85 Using role type
% 0.65/0.85 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2333f80>, <kernel.DependentProduct object at 0x23350e0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring divide_divide_real:(real->(real->real))
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2333f80>, <kernel.DependentProduct object at 0x23352d8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335200>, <kernel.DependentProduct object at 0x23351b8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335290>, <kernel.DependentProduct object at 0x2335248>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335170>, <kernel.DependentProduct object at 0x2335200>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x23350e0>, <kernel.DependentProduct object at 0x2335290>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x23352d8>, <kernel.DependentProduct object at 0x2335170>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x23350e0>, <kernel.DependentProduct object at 0x23352d8>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335050>, <kernel.DependentProduct object at 0x2335170>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring modulo_modulo_int:(int->(int->int))
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x23351b8>, <kernel.DependentProduct object at 0x23350e0>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335050>, <kernel.DependentProduct object at 0x2335638>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x23350e0>, <kernel.DependentProduct object at 0x2335248>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335638>, <kernel.DependentProduct object at 0x23356c8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335248>, <kernel.DependentProduct object at 0x2335758>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x23356c8>, <kernel.DependentProduct object at 0x23357e8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335758>, <kernel.DependentProduct object at 0x2335878>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x23356c8>, <kernel.DependentProduct object at 0x23357e8>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring suminf_complex:((nat->complex)->complex)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335320>, <kernel.DependentProduct object at 0x23356c8>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring suminf_int:((nat->int)->int)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x23358c0>, <kernel.DependentProduct object at 0x23357e8>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring suminf_nat:((nat->nat)->nat)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335998>, <kernel.DependentProduct object at 0x2335758>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring suminf_real:((nat->real)->real)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335a28>, <kernel.DependentProduct object at 0x23357e8>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring summable_complex:((nat->complex)->Prop)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x23359e0>, <kernel.DependentProduct object at 0x2335320>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring summable_int:((nat->int)->Prop)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335908>, <kernel.DependentProduct object at 0x2335998>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring summable_nat:((nat->nat)->Prop)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335a70>, <kernel.DependentProduct object at 0x2335a28>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring summable_real:((nat->real)->Prop)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335ab8>, <kernel.DependentProduct object at 0x2335b00>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335248>, <kernel.DependentProduct object at 0x2335b90>) of role type named sy_c_Series_Osums_001t__Int__Oint
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring sums_int:((nat->int)->(int->Prop))
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335a28>, <kernel.DependentProduct object at 0x2335998>) of role type named sy_c_Series_Osums_001t__Nat__Onat
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring sums_nat:((nat->nat)->(nat->Prop))
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335b48>, <kernel.DependentProduct object at 0x2335c20>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring sums_real:((nat->real)->(real->Prop))
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335998>, <kernel.DependentProduct object at 0x2335cf8>) of role type named sy_c_Set_OCollect_001_Eo
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring collect_o:((Prop->Prop)->set_o)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335a70>, <kernel.DependentProduct object at 0x2335248>) of role type named sy_c_Set_OCollect_001t__Code____Numeral__Ointeger
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring collect_Code_integer:((code_integer->Prop)->set_Code_integer)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335c20>, <kernel.DependentProduct object at 0x2335d40>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335b90>, <kernel.DependentProduct object at 0x2335dd0>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring collect_int:((int->Prop)->set_int)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335a28>, <kernel.DependentProduct object at 0x2335c20>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335b00>, <kernel.DependentProduct object at 0x2335e60>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335dd0>, <kernel.DependentProduct object at 0x2335ea8>) of role type named sy_c_Set_OCollect_001t__Num__Onum
% 0.65/0.86 Using role type
% 0.65/0.86 Declaring collect_num:((num->Prop)->set_num)
% 0.65/0.86 FOF formula (<kernel.Constant object at 0x2335d40>, <kernel.DependentProduct object at 0x2335b00>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring collec8663557070575231912omplex:((produc4411394909380815293omplex->Prop)->set_Pr5085853215250843933omplex)
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x2335dd0>, <kernel.DependentProduct object at 0x2335d40>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x2335b00>, <kernel.DependentProduct object at 0x2335dd0>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring collec3392354462482085612at_nat:((product_prod_nat_nat->Prop)->set_Pr1261947904930325089at_nat)
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x2335d40>, <kernel.DependentProduct object at 0x2347098>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring collec3799799289383736868l_real:((produc2422161461964618553l_real->Prop)->set_Pr6218003697084177305l_real)
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x2335998>, <kernel.DependentProduct object at 0x2347170>) of role type named sy_c_Set_OCollect_001t__Rat__Orat
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring collect_rat:((rat->Prop)->set_rat)
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x2335a28>, <kernel.DependentProduct object at 0x23471b8>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring collect_real:((real->Prop)->set_real)
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x2335d40>, <kernel.DependentProduct object at 0x2347128>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Int__Oint_J
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring collect_set_int:((set_int->Prop)->set_set_int)
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x2335e18>, <kernel.DependentProduct object at 0x2347200>) of role type named sy_c_Set_OCollect_001t__VEBT____Definitions__OVEBT
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring collect_VEBT_VEBT:((vEBT_VEBT->Prop)->set_VEBT_VEBT)
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x2335d40>, <kernel.DependentProduct object at 0x2347200>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x2335a28>, <kernel.DependentProduct object at 0x23471b8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Int__Oint
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring image_nat_int:((nat->int)->(set_nat->set_int))
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x2335a28>, <kernel.DependentProduct object at 0x2347248>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x23470e0>, <kernel.DependentProduct object at 0x2347290>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Real__Oreal
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring image_nat_real:((nat->real)->(set_nat->set_real))
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x2347170>, <kernel.DependentProduct object at 0x2347098>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring image_nat_set_nat:((nat->set_nat)->(set_nat->set_set_nat))
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x2347128>, <kernel.DependentProduct object at 0x2347050>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x2347170>, <kernel.DependentProduct object at 0x23470e0>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring image_5971271580939081552omplex:((real->filter6041513312241820739omplex)->(set_real->set_fi4554929511873752355omplex))
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x2347050>, <kernel.DependentProduct object at 0x2347290>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring image_2178119161166701260l_real:((real->filter2146258269922977983l_real)->(set_real->set_fi7789364187291644575l_real))
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x23474d0>, <kernel.DependentProduct object at 0x2347200>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x23470e0>, <kernel.DependentProduct object at 0x23471b8>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x23472d8>, <kernel.DependentProduct object at 0x23470e0>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring insert_int:(int->(set_int->set_int))
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x2347050>, <kernel.DependentProduct object at 0x23471b8>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x23474d0>, <kernel.DependentProduct object at 0x23476c8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Complex__Ocomplex
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring set_fo1517530859248394432omplex:((nat->(complex->complex))->(nat->(nat->(complex->complex))))
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x2347050>, <kernel.DependentProduct object at 0x23471b8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Int__Oint
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring set_fo2581907887559384638at_int:((nat->(int->int))->(nat->(nat->(int->int))))
% 0.65/0.87 FOF formula (<kernel.Constant object at 0x23476c8>, <kernel.DependentProduct object at 0x2347440>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.65/0.87 Using role type
% 0.65/0.87 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.65/0.88 FOF formula (<kernel.Constant object at 0x23471b8>, <kernel.DependentProduct object at 0x23472d8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Rat__Orat
% 0.65/0.88 Using role type
% 0.65/0.88 Declaring set_fo1949268297981939178at_rat:((nat->(rat->rat))->(nat->(nat->(rat->rat))))
% 0.65/0.88 FOF formula (<kernel.Constant object at 0x2347440>, <kernel.DependentProduct object at 0x23477a0>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Real__Oreal
% 0.65/0.88 Using role type
% 0.65/0.88 Declaring set_fo3111899725591712190t_real:((nat->(real->real))->(nat->(nat->(real->real))))
% 0.65/0.88 FOF formula (<kernel.Constant object at 0x23472d8>, <kernel.DependentProduct object at 0x2347440>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.65/0.88 Using role type
% 0.65/0.88 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.65/0.88 FOF formula (<kernel.Constant object at 0x23477a0>, <kernel.DependentProduct object at 0x23472d8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x2347440>, <kernel.DependentProduct object at 0x23477a0>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23472d8>, <kernel.DependentProduct object at 0x2347440>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23477a0>, <kernel.DependentProduct object at 0x23472d8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x2347440>, <kernel.DependentProduct object at 0x23477a0>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Int__Oint_J
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_or370866239135849197et_int:(set_int->(set_int->set_set_int))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23472d8>, <kernel.DependentProduct object at 0x2347440>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23477a0>, <kernel.DependentProduct object at 0x23472d8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x2347560>, <kernel.DependentProduct object at 0x2347830>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x2347c68>, <kernel.DependentProduct object at 0x2347dd0>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Real__Oreal
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_ord_atLeast_real:(real->set_real)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x2347cf8>, <kernel.DependentProduct object at 0x2347e18>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Int__Oint
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_ord_atMost_int:(int->set_int)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23472d8>, <kernel.DependentProduct object at 0x2347e60>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x2347830>, <kernel.DependentProduct object at 0x2347ea8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Num__Onum
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_ord_atMost_num:(num->set_num)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x2347dd0>, <kernel.DependentProduct object at 0x2347ef0>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Rat__Orat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_ord_atMost_rat:(rat->set_rat)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x2347e18>, <kernel.DependentProduct object at 0x2347f38>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Real__Oreal
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_ord_atMost_real:(real->set_real)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x2347dd0>, <kernel.DependentProduct object at 0x2347f80>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Set__Oset_It__Int__Oint_J
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_or58775011639299419et_int:(set_int->set_set_int)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x2347f38>, <kernel.DependentProduct object at 0x2347dd0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x2347f80>, <kernel.DependentProduct object at 0x2347ef0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x2347f80>, <kernel.DependentProduct object at 0x234a0e0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x2347f80>, <kernel.DependentProduct object at 0x234a1b8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x2347830>, <kernel.DependentProduct object at 0x234a248>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x234a1b8>, <kernel.DependentProduct object at 0x234a0e0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x234a050>, <kernel.DependentProduct object at 0x234a3b0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x2347830>, <kernel.DependentProduct object at 0x234a440>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Int__Oint
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_ord_lessThan_int:(int->set_int)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x234a3b0>, <kernel.DependentProduct object at 0x234a488>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x234a0e0>, <kernel.DependentProduct object at 0x234a4d0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Num__Onum
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_ord_lessThan_num:(num->set_num)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x234a050>, <kernel.DependentProduct object at 0x234a518>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Rat__Orat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_ord_lessThan_rat:(rat->set_rat)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x234a0e0>, <kernel.DependentProduct object at 0x234a560>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x234a440>, <kernel.DependentProduct object at 0x234a5f0>) of role type named sy_c_String_Oascii__of
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring ascii_of:(char->char)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x234a4d0>, <kernel.DependentProduct object at 0x234a638>) of role type named sy_c_String_Ochar_OChar
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring char2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->char))))))))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x234a440>, <kernel.DependentProduct object at 0x234a710>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x234a200>, <kernel.DependentProduct object at 0x234a7a0>) of role type named sy_c_String_Ointeger__of__char
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring integer_of_char:(char->code_integer)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x234a638>, <kernel.DependentProduct object at 0x234a440>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x234a200>, <kernel.DependentProduct object at 0x234a878>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x234a440>, <kernel.DependentProduct object at 0x234a908>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Real__Oreal_001t__Real__Oreal
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring topolo5044208981011980120l_real:(set_real->((real->real)->Prop))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x234a878>, <kernel.DependentProduct object at 0x234a200>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Int__Oint
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring topolo4899668324122417113eq_int:((nat->int)->Prop)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x234a908>, <kernel.DependentProduct object at 0x234a950>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring topolo4902158794631467389eq_nat:((nat->nat)->Prop)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x234a200>, <kernel.DependentProduct object at 0x234a9e0>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Num__Onum
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring topolo1459490580787246023eq_num:((nat->num)->Prop)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x234a950>, <kernel.DependentProduct object at 0x234aa70>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Rat__Orat
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring topolo4267028734544971653eq_rat:((nat->rat)->Prop)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234a9e0>, <kernel.DependentProduct object at 0x234ab00>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234aa70>, <kernel.DependentProduct object at 0x234ab90>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Set__Oset_It__Int__Oint_J
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring topolo3100542954746470799et_int:((nat->set_int)->Prop)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234ab00>, <kernel.DependentProduct object at 0x234aa70>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234ab90>, <kernel.DependentProduct object at 0x234a6c8>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234aa70>, <kernel.DependentProduct object at 0x234ad40>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Complex__Ocomplex
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring topolo6517432010174082258omplex:((nat->complex)->Prop)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234a6c8>, <kernel.DependentProduct object at 0x234add0>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234ad40>, <kernel.Constant object at 0x234ac68>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Complex__Ocomplex
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring topolo896644834953643431omplex:filter6041513312241820739omplex
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234add0>, <kernel.Constant object at 0x234aa70>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring topolo1511823702728130853y_real:filter2146258269922977983l_real
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234aea8>, <kernel.DependentProduct object at 0x234afc8>) of role type named sy_c_Transcendental_Oarccos
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring arccos:(real->real)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234ae60>, <kernel.DependentProduct object at 0x234c050>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring arcosh_real:(real->real)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234aef0>, <kernel.DependentProduct object at 0x234c098>) of role type named sy_c_Transcendental_Oarcsin
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring arcsin:(real->real)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234afc8>, <kernel.DependentProduct object at 0x234c0e0>) of role type named sy_c_Transcendental_Oarctan
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring arctan:(real->real)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234aa70>, <kernel.DependentProduct object at 0x234c128>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring arsinh_real:(real->real)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234ae60>, <kernel.DependentProduct object at 0x234c170>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring artanh_real:(real->real)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234afc8>, <kernel.DependentProduct object at 0x234c1b8>) of role type named sy_c_Transcendental_Ocos_001t__Complex__Ocomplex
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring cos_complex:(complex->complex)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234aa70>, <kernel.DependentProduct object at 0x234c200>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring cos_real:(real->real)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234aa70>, <kernel.DependentProduct object at 0x234c290>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring cos_coeff:(nat->real)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234afc8>, <kernel.DependentProduct object at 0x234c1b8>) of role type named sy_c_Transcendental_Ocosh_001t__Complex__Ocomplex
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring cosh_complex:(complex->complex)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234afc8>, <kernel.DependentProduct object at 0x234c2d8>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring cosh_real:(real->real)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c170>, <kernel.DependentProduct object at 0x234c320>) of role type named sy_c_Transcendental_Ocot_001t__Complex__Ocomplex
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring cot_complex:(complex->complex)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c098>, <kernel.DependentProduct object at 0x234c368>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring cot_real:(real->real)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c1b8>, <kernel.DependentProduct object at 0x234c2d8>) of role type named sy_c_Transcendental_Odiffs_001t__Complex__Ocomplex
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring diffs_complex:((nat->complex)->(nat->complex))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c170>, <kernel.DependentProduct object at 0x234c320>) of role type named sy_c_Transcendental_Odiffs_001t__Int__Oint
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring diffs_int:((nat->int)->(nat->int))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c098>, <kernel.DependentProduct object at 0x234c3b0>) of role type named sy_c_Transcendental_Odiffs_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring diffs_real:((nat->real)->(nat->real))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c1b8>, <kernel.DependentProduct object at 0x234c368>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring exp_complex:(complex->complex)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c3f8>, <kernel.DependentProduct object at 0x234c2d8>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring exp_real:(real->real)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c290>, <kernel.DependentProduct object at 0x234c518>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring ln_ln_real:(real->real)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c3b0>, <kernel.DependentProduct object at 0x234c3f8>) of role type named sy_c_Transcendental_Olog
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring log:(real->(real->real))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c560>, <kernel.Constant object at 0x234c3f8>) of role type named sy_c_Transcendental_Opi
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring pi:real
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c518>, <kernel.DependentProduct object at 0x234c3b0>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring powr_real:(real->(real->real))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c368>, <kernel.DependentProduct object at 0x234c638>) of role type named sy_c_Transcendental_Osin_001t__Complex__Ocomplex
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring sin_complex:(complex->complex)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c098>, <kernel.DependentProduct object at 0x234c2d8>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring sin_real:(real->real)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c200>, <kernel.DependentProduct object at 0x234c710>) of role type named sy_c_Transcendental_Osin__coeff
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring sin_coeff:(nat->real)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c638>, <kernel.DependentProduct object at 0x234c098>) of role type named sy_c_Transcendental_Osinh_001t__Complex__Ocomplex
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring sinh_complex:(complex->complex)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c710>, <kernel.DependentProduct object at 0x234c758>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring sinh_real:(real->real)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c560>, <kernel.DependentProduct object at 0x234c7a0>) of role type named sy_c_Transcendental_Otan_001t__Complex__Ocomplex
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring tan_complex:(complex->complex)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c200>, <kernel.DependentProduct object at 0x234c7e8>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring tan_real:(real->real)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c098>, <kernel.DependentProduct object at 0x234c830>) of role type named sy_c_Transcendental_Otanh_001t__Complex__Ocomplex
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring tanh_complex:(complex->complex)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c758>, <kernel.DependentProduct object at 0x234c878>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring tanh_real:(real->real)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c098>, <kernel.DependentProduct object at 0x234c758>) of role type named sy_c_Transitive__Closure_Ortrancl_001t__Nat__Onat
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring transi2905341329935302413cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c878>, <kernel.DependentProduct object at 0x234c098>) of role type named sy_c_Transitive__Closure_Otrancl_001t__Nat__Onat
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring transi6264000038957366511cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c3f8>, <kernel.DependentProduct object at 0x234c9e0>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c200>, <kernel.DependentProduct object at 0x234c098>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234cab8>, <kernel.DependentProduct object at 0x234c878>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c3f8>, <kernel.DependentProduct object at 0x234cab8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234cb48>, <kernel.DependentProduct object at 0x234c878>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c3f8>, <kernel.DependentProduct object at 0x234cb48>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c200>, <kernel.DependentProduct object at 0x234c878>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234cc68>, <kernel.DependentProduct object at 0x234c3f8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c200>, <kernel.DependentProduct object at 0x234cb48>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234c3f8>, <kernel.DependentProduct object at 0x234c200>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x234cb48>, <kernel.DependentProduct object at 0x234c878>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x234cd40>, <kernel.DependentProduct object at 0x234c200>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x234ce18>, <kernel.DependentProduct object at 0x234c200>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x234c998>, <kernel.DependentProduct object at 0x234ce18>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x234cea8>, <kernel.DependentProduct object at 0x234cf38>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x234c878>, <kernel.DependentProduct object at 0x234c200>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x234c998>, <kernel.DependentProduct object at 0x234c878>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x234cf80>, <kernel.DependentProduct object at 0x234cfc8>) of role type named sy_c_Wellfounded_Oaccp_001t__List__Olist_It__Nat__Onat_J
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring accp_list_nat:((list_nat->(list_nat->Prop))->(list_nat->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x234c878>, <kernel.DependentProduct object at 0x2350050>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x234cf80>, <kernel.DependentProduct object at 0x2350050>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x234cf80>, <kernel.DependentProduct object at 0x2350128>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x234c998>, <kernel.DependentProduct object at 0x23501b8>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring accp_P3113834385874906142um_num:((product_prod_num_num->(product_prod_num_num->Prop))->(product_prod_num_num->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x23500e0>, <kernel.DependentProduct object at 0x2350248>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x234c200>, <kernel.Constant object at 0x2350248>) of role type named sy_c_Wellfounded_Opred__nat
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring pred_nat:set_Pr1261947904930325089at_nat
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x2350098>, <kernel.DependentProduct object at 0x23503f8>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring fChoice_real:((real->Prop)->real)
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x23500e0>, <kernel.DependentProduct object at 0x2350098>) of role type named sy_c_member_001_Eo
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring member_o:(Prop->(set_o->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x2350290>, <kernel.DependentProduct object at 0x2350248>) of role type named sy_c_member_001t__Code____Numeral__Ointeger
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring member_Code_integer:(code_integer->(set_Code_integer->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x2350128>, <kernel.DependentProduct object at 0x2350290>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring member_complex:(complex->(set_complex->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x2350488>, <kernel.DependentProduct object at 0x23500e0>) of role type named sy_c_member_001t__Int__Oint
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring member_int:(int->(set_int->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x23502d8>, <kernel.DependentProduct object at 0x2350248>) of role type named sy_c_member_001t__List__Olist_I_Eo_J
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring member_list_o:(list_o->(set_list_o->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x2350290>, <kernel.DependentProduct object at 0x2350488>) of role type named sy_c_member_001t__List__Olist_It__Int__Oint_J
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring member_list_int:(list_int->(set_list_int->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x23503f8>, <kernel.DependentProduct object at 0x23502d8>) of role type named sy_c_member_001t__List__Olist_It__Nat__Onat_J
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring member_list_nat:(list_nat->(set_list_nat->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x2350290>, <kernel.DependentProduct object at 0x23503f8>) of role type named sy_c_member_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring member2936631157270082147T_VEBT:(list_VEBT_VEBT->(set_list_VEBT_VEBT->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x23500e0>, <kernel.DependentProduct object at 0x23502d8>) of role type named sy_c_member_001t__Nat__Onat
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring member_nat:(nat->(set_nat->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x2350638>, <kernel.DependentProduct object at 0x2350290>) of role type named sy_c_member_001t__Num__Onum
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring member_num:(num->(set_num->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x23500e0>, <kernel.DependentProduct object at 0x2350128>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring member8440522571783428010at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x2350710>, <kernel.DependentProduct object at 0x2350290>) of role type named sy_c_member_001t__Rat__Orat
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring member_rat:(rat->(set_rat->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x2350050>, <kernel.DependentProduct object at 0x2350710>) of role type named sy_c_member_001t__Real__Oreal
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring member_real:(real->(set_real->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x23507e8>, <kernel.DependentProduct object at 0x23500e0>) of role type named sy_c_member_001t__Set__Oset_It__Int__Oint_J
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring member_set_int:(set_int->(set_set_int->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x2350488>, <kernel.DependentProduct object at 0x2350290>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x2350710>, <kernel.Constant object at 0x2350290>) of role type named sy_v_deg
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring deg:nat
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x23500e0>, <kernel.Constant object at 0x2350050>) of role type named sy_v_info
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring info:option4927543243414619207at_nat
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x23508c0>, <kernel.Constant object at 0x2350050>) of role type named sy_v_m____
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring m:nat
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x2350290>, <kernel.Constant object at 0x2350050>) of role type named sy_v_ma____
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring ma:nat
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x2350878>, <kernel.Constant object at 0x2350050>) of role type named sy_v_mi____
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring mi:nat
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x2350908>, <kernel.Constant object at 0x2350050>) of role type named sy_v_n
% 0.69/0.90 Using role type
% 0.69/0.90 Declaring n:nat
% 0.69/0.90 FOF formula (<kernel.Constant object at 0x2350950>, <kernel.Constant object at 0x2350050>) of role type named sy_v_na____
% 0.69/0.91 Using role type
% 0.69/0.91 Declaring na:nat
% 0.69/0.91 FOF formula (<kernel.Constant object at 0x2350998>, <kernel.Constant object at 0x2350050>) of role type named sy_v_summary
% 0.69/0.91 Using role type
% 0.69/0.91 Declaring summary:vEBT_VEBT
% 0.69/0.91 FOF formula (<kernel.Constant object at 0x23509e0>, <kernel.Constant object at 0x2350050>) of role type named sy_v_treeList
% 0.69/0.91 Using role type
% 0.69/0.91 Declaring treeList:list_VEBT_VEBT
% 0.69/0.91 FOF formula (<kernel.Constant object at 0x2350a28>, <kernel.Constant object at 0x2350050>) of role type named sy_v_x
% 0.69/0.91 Using role type
% 0.69/0.91 Declaring x:nat
% 0.69/0.91 FOF formula (((eq (vEBT_VEBT->(nat->Prop))) vEBT_V8194947554948674370ptions) (fun (T:vEBT_VEBT) (X:nat)=> ((or ((vEBT_V5719532721284313246member T) X)) ((vEBT_VEBT_membermima T) X)))) of role axiom named fact_0_both__member__options__def
% 0.69/0.91 A new axiom: (((eq (vEBT_VEBT->(nat->Prop))) vEBT_V8194947554948674370ptions) (fun (T:vEBT_VEBT) (X:nat)=> ((or ((vEBT_V5719532721284313246member T) X)) ((vEBT_VEBT_membermima T) X))))
% 0.69/0.91 FOF formula ((ord_less_nat one_one_nat) deg) of role axiom named fact_1__092_060open_0621_A_060_Adeg_092_060close_062
% 0.69/0.91 A new axiom: ((ord_less_nat one_one_nat) deg)
% 0.69/0.91 FOF formula (forall (X11:option4927543243414619207at_nat) (X12:nat) (X13:list_VEBT_VEBT) (X14:vEBT_VEBT) (Y11:option4927543243414619207at_nat) (Y12:nat) (Y13:list_VEBT_VEBT) (Y14:vEBT_VEBT), (((eq Prop) (((eq vEBT_VEBT) ((((vEBT_Node X11) X12) X13) X14)) ((((vEBT_Node Y11) Y12) Y13) Y14))) ((and ((and ((and (((eq option4927543243414619207at_nat) X11) Y11)) (((eq nat) X12) Y12))) (((eq list_VEBT_VEBT) X13) Y13))) (((eq vEBT_VEBT) X14) Y14)))) of role axiom named fact_2_VEBT_Oinject_I1_J
% 0.69/0.91 A new axiom: (forall (X11:option4927543243414619207at_nat) (X12:nat) (X13:list_VEBT_VEBT) (X14:vEBT_VEBT) (Y11:option4927543243414619207at_nat) (Y12:nat) (Y13:list_VEBT_VEBT) (Y14:vEBT_VEBT), (((eq Prop) (((eq vEBT_VEBT) ((((vEBT_Node X11) X12) X13) X14)) ((((vEBT_Node Y11) Y12) Y13) Y14))) ((and ((and ((and (((eq option4927543243414619207at_nat) X11) Y11)) (((eq nat) X12) Y12))) (((eq list_VEBT_VEBT) X13) Y13))) (((eq vEBT_VEBT) X14) Y14))))
% 0.69/0.91 FOF formula ((((eq vEBT_VEBT) summary) ((((vEBT_Node info) deg) treeList) summary))->((vEBT_V8194947554948674370ptions ((((vEBT_Node info) deg) treeList) summary)) x)) of role axiom named fact_3__C5_Ohyps_C_I3_J
% 0.69/0.91 A new axiom: ((((eq vEBT_VEBT) summary) ((((vEBT_Node info) deg) treeList) summary))->((vEBT_V8194947554948674370ptions ((((vEBT_Node info) deg) treeList) summary)) x))
% 0.69/0.91 FOF formula ((vEBT_invar_vebt summary) m) of role axiom named fact_4__C5_Ohyps_C_I2_J
% 0.69/0.91 A new axiom: ((vEBT_invar_vebt summary) m)
% 0.69/0.91 FOF formula ((vEBT_invar_vebt ((((vEBT_Node info) deg) treeList) summary)) n) of role axiom named fact_5_assms_I1_J
% 0.69/0.91 A new axiom: ((vEBT_invar_vebt ((((vEBT_Node info) deg) treeList) summary)) n)
% 0.69/0.91 FOF formula ((ord_less_nat x) ((power_power_nat (numeral_numeral_nat (bit0 one))) deg)) of role axiom named fact_6_assms_I2_J
% 0.69/0.91 A new axiom: ((ord_less_nat x) ((power_power_nat (numeral_numeral_nat (bit0 one))) deg))
% 0.69/0.91 FOF formula (((vEBT_V5719532721284313246member ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_VEBT_low x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))->((vEBT_V5719532721284313246member ((((vEBT_Node info) deg) treeList) summary)) x)) of role axiom named fact_7__092_060open_062naive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Anaive__member_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062
% 0.69/0.91 A new axiom: (((vEBT_V5719532721284313246member ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_VEBT_low x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))->((vEBT_V5719532721284313246member ((((vEBT_Node info) deg) treeList) summary)) x))
% 0.69/0.91 FOF formula (((vEBT_VEBT_membermima ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_VEBT_low x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))->((vEBT_VEBT_membermima ((((vEBT_Node info) deg) treeList) summary)) x)) of role axiom named fact_8__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Amembermima_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062
% 0.69/0.92 A new axiom: (((vEBT_VEBT_membermima ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_VEBT_low x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))->((vEBT_VEBT_membermima ((((vEBT_Node info) deg) treeList) summary)) x))
% 0.69/0.92 FOF formula ((ord_less_nat ((vEBT_VEBT_high x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))) ((power_power_nat (numeral_numeral_nat (bit0 one))) m)) of role axiom named fact_9__092_060open_062high_Ax_A_Ideg_Adiv_A2_J_A_060_A2_A_094_Am_092_060close_062
% 0.69/0.92 A new axiom: ((ord_less_nat ((vEBT_VEBT_high x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))
% 0.69/0.92 FOF formula ((or ((vEBT_VEBT_membermima ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_VEBT_low x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_V5719532721284313246member ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_VEBT_low x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) of role axiom named fact_10__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060or_062_Anaive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_092_060close_062
% 0.69/0.92 A new axiom: ((or ((vEBT_VEBT_membermima ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_VEBT_low x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_V5719532721284313246member ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_VEBT_low x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))))
% 0.69/0.92 FOF formula ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_VEBT_low x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))) of role axiom named fact_11_assms_I3_J
% 0.69/0.92 A new axiom: ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_VEBT_low x) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))
% 0.69/0.92 FOF formula (forall (X2:vEBT_VEBT), (((member_VEBT_VEBT X2) (set_VEBT_VEBT2 treeList))->((and ((vEBT_invar_vebt X2) na)) ((((eq vEBT_VEBT) X2) ((((vEBT_Node info) deg) treeList) summary))->((vEBT_V8194947554948674370ptions ((((vEBT_Node info) deg) treeList) summary)) x))))) of role axiom named fact_12__C5_Ohyps_C_I1_J
% 0.69/0.92 A new axiom: (forall (X2:vEBT_VEBT), (((member_VEBT_VEBT X2) (set_VEBT_VEBT2 treeList))->((and ((vEBT_invar_vebt X2) na)) ((((eq vEBT_VEBT) X2) ((((vEBT_Node info) deg) treeList) summary))->((vEBT_V8194947554948674370ptions ((((vEBT_Node info) deg) treeList) summary)) x)))))
% 0.69/0.92 FOF formula (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))->(((eq Prop) ((ex nat) (fun (X3:nat)=> ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) _TPTP_I)) X3)))) ((vEBT_V8194947554948674370ptions summary) _TPTP_I)))) of role axiom named fact_13__C5_Ohyps_C_I7_J
% 0.69/0.92 A new axiom: (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))->(((eq Prop) ((ex nat) (fun (X3:nat)=> ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) _TPTP_I)) X3)))) ((vEBT_V8194947554948674370ptions summary) _TPTP_I))))
% 0.69/0.92 FOF formula (((eq nat) deg) ((plus_plus_nat na) m)) of role axiom named fact_14__C5_Ohyps_C_I6_J
% 0.69/0.92 A new axiom: (((eq nat) deg) ((plus_plus_nat na) m))
% 0.69/0.92 FOF formula ((ord_less_nat ma) ((power_power_nat (numeral_numeral_nat (bit0 one))) deg)) of role axiom named fact_15__C5_Ohyps_C_I10_J
% 0.69/0.92 A new axiom: ((ord_less_nat ma) ((power_power_nat (numeral_numeral_nat (bit0 one))) deg))
% 0.69/0.92 FOF formula (((eq (nat->(nat->nat))) vEBT_VEBT_high) (fun (X:nat) (N:nat)=> ((divide_divide_nat X) ((power_power_nat (numeral_numeral_nat (bit0 one))) N)))) of role axiom named fact_16_high__def
% 0.69/0.92 A new axiom: (((eq (nat->(nat->nat))) vEBT_VEBT_high) (fun (X:nat) (N:nat)=> ((divide_divide_nat X) ((power_power_nat (numeral_numeral_nat (bit0 one))) N))))
% 0.69/0.92 FOF formula (forall (Ma:nat) (N2:nat) (M:nat), (((ord_less_nat Ma) ((power_power_nat (numeral_numeral_nat (bit0 one))) ((plus_plus_nat N2) M)))->((ord_less_nat ((vEBT_VEBT_high Ma) N2)) ((power_power_nat (numeral_numeral_nat (bit0 one))) M)))) of role axiom named fact_17_high__bound__aux
% 0.69/0.92 A new axiom: (forall (Ma:nat) (N2:nat) (M:nat), (((ord_less_nat Ma) ((power_power_nat (numeral_numeral_nat (bit0 one))) ((plus_plus_nat N2) M)))->((ord_less_nat ((vEBT_VEBT_high Ma) N2)) ((power_power_nat (numeral_numeral_nat (bit0 one))) M))))
% 0.69/0.92 <<<_VEBT] :
% 0.69/0.92 ( ( member_VEBT_VEBT @ X2 @ ( set_VEBT_VEBT2 @ treeList ) )
% 0.69/0.92 => ~ ?>>>!!!<<< [X_1: nat] : ( vEBT_V8194947554948674370ptions @ X2 @ X_1 ) ) ) ).
% 0.69/0.92
% 0.69/0.92 % "5.hyps"(8)
% 0.69/0.92 thf(fac>>>
% 0.69/0.92 statestack=[0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 22, 30, 36, 43, 50, 99, 120, 187, 113, 185, 229, 265, 285, 300, 221, 120, 187, 124]
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TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,122293), LexToken(LPAR,'(',1,122296), name, LexToken(COMMA,',',1,122321), formula_role, LexToken(COMMA,',',1,122327), LexToken(LPAR,'(',1,122333), thf_unitary_formula, thf_pair_connective, thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,122355), thf_variable_list, LexToken(RBRACKET,']',1,122369), LexToken(COLON,':',1,122371), LexToken(LPAR,'(',1,122381), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.69/0.92 Unexpected exception Syntax error at '?':QUESTION
% 0.69/0.92 Traceback (most recent call last):
% 0.69/0.92 File "CASC.py", line 79, in <module>
% 0.69/0.92 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.69/0.92 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.69/0.92 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.69/0.92 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.69/0.92 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.69/0.92 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.69/0.92 tok = self.errorfunc(errtoken)
% 0.69/0.92 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.69/0.92 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.69/0.92 TPTPparser.TPTPParsingError: Syntax error at '?':QUESTION
%------------------------------------------------------------------------------