TSTP Solution File: ITP232^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP232^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 17:47:39 EDT 2022
% Result : Unknown 0.61s 0.78s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ITP232^3 : TPTP v7.6.0. Released v7.6.0.
% 0.06/0.13 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 Computer : n014.cluster.edu
% 0.13/0.34 Model : x86_64 x86_64
% 0.13/0.34 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 RAMPerCPU : 8042.1875MB
% 0.13/0.34 OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Mar 18 11:07:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.35 Python 2.7.5
% 0.39/0.57 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.39/0.57 FOF formula (<kernel.Constant object at 0xea0200>, <kernel.Type object at 0xea0ab8>) 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
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring produc4471711990508489141at_nat:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0xea0200>, <kernel.Type object at 0x2b6ecb420248>) 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
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring set_fi4554929511873752355omplex:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0xea0200>, <kernel.Type object at 0x2b6ecb4201b8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring list_P7413028617227757229T_VEBT:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0xea4d40>, <kernel.Type object at 0x2b6ecb4205f0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring list_P5578671422887162913nteger:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0xea4e60>, <kernel.Type object at 0xe7de18>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring set_Pr4811707699266497531nteger:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ecb4205f0>, <kernel.Type object at 0xe7dcb0>) 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
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring produc7248412053542808358at_nat:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ecb4205f0>, <kernel.Type object at 0xea4d40>) 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
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring set_fi7789364187291644575l_real:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ecb420170>, <kernel.Type object at 0x2b6ec3952f80>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring filter6041513312241820739omplex:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ecb420170>, <kernel.Type object at 0x2b6ec3952ef0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring list_P7037539587688870467BT_nat:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ecb4205f0>, <kernel.Type object at 0x2b6ec3952f38>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring list_P4547456442757143711BT_int:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec3952ea8>, <kernel.Type object at 0x2b6ec3952dd0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring list_P5647936690300460905T_VEBT:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec3952d40>, <kernel.Type object at 0x2b6ec3952e60>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring produc8243902056947475879T_VEBT:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec3952e18>, <kernel.Type object at 0x2b6ec3952ea8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring set_Pr7556676689462069481BT_nat:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec3952cb0>, <kernel.Type object at 0x2b6ec3952b90>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring set_Pr5085853215250843933omplex:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec3952e18>, <kernel.Type object at 0x2b6ec3952d40>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring produc8923325533196201883nteger:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec3952b00>, <kernel.Type object at 0x2b6ec3952cb0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring list_P3126845725202233233VEBT_o:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec3952a70>, <kernel.Type object at 0x2b6ec3952e18>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring list_P7495141550334521929T_VEBT:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec39529e0>, <kernel.Type object at 0x2b6ec3952b00>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring filter2146258269922977983l_real:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec3952950>, <kernel.Type object at 0x2b6ec3952a70>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring list_P8526636022914148096eger_o:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec39528c0>, <kernel.Type object at 0x2b6ec39529e0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring set_Pr448751882837621926eger_o:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec3952830>, <kernel.Type object at 0x2b6ec3952950>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring option4927543243414619207at_nat:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec39527a0>, <kernel.Type object at 0x2b6ec39528c0>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring filter1242075044329608583at_nat:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec3952680>, <kernel.Type object at 0x2b6ec3952830>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring set_Pr6218003697084177305l_real:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec39525f0>, <kernel.Type object at 0x2b6ec39527a0>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring produc9072475918466114483BT_nat:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec3952560>, <kernel.Type object at 0x2b6ec3952680>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring produc4894624898956917775BT_int:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec39524d0>, <kernel.Type object at 0x2b6ec39525f0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring set_Pr1261947904930325089at_nat:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec3952440>, <kernel.Type object at 0x2b6ec3952560>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring set_Pr958786334691620121nt_int:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec39523b0>, <kernel.Type object at 0x2b6ec39524d0>) of role type named ty_n_t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring produc4411394909380815293omplex:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec3952320>, <kernel.Type object at 0x2b6ec3952440>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring list_P7333126701944960589_nat_o:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec3952290>, <kernel.Type object at 0x2b6ec39523b0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring list_P6285523579766656935_o_nat:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec3952200>, <kernel.Type object at 0x2b6ec3952320>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring list_P3795440434834930179_o_int:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec3952290>, <kernel.Type object at 0x2b6ec39523b0>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring set_list_VEBT_VEBT:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec3952200>, <kernel.Type object at 0x2b6ec3952170>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring produc334124729049499915VEBT_o:Type
% 0.39/0.57 FOF formula (<kernel.Constant object at 0x2b6ec3952050>, <kernel.Type object at 0x2b6ec3952290>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.39/0.57 Using role type
% 0.39/0.57 Declaring produc2504756804600209347T_VEBT:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3952320>, <kernel.Type object at 0x2b6ec3927908>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring produc6271795597528267376eger_o:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3952320>, <kernel.Type object at 0x2b6ec3952290>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring produc2422161461964618553l_real:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ecb410cf8>, <kernel.Type object at 0x2b6ecb425ea8>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring product_prod_nat_nat:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ecb410cf8>, <kernel.Type object at 0x2b6ecb4253b0>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring product_prod_int_int:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3952320>, <kernel.Type object at 0x2b6ecb4255a8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring list_P4002435161011370285od_o_o:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3952290>, <kernel.Type object at 0x2b6ecb4253b0>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Complex__Ocomplex_J_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring set_list_complex:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3952320>, <kernel.Type object at 0x2b6ecb425b48>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Complex__Ocomplex_J_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring set_set_complex:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3952170>, <kernel.Type object at 0x2b6ecb425e60>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring list_VEBT_VEBT:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3952170>, <kernel.Type object at 0x2b6ecb425cb0>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring set_list_nat:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ecb4253f8>, <kernel.Type object at 0x2b6ecb425440>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Int__Oint_J_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring set_list_int:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ecb425ea8>, <kernel.Type object at 0x2b6ecb425cb0>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring product_prod_o_nat:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ecb425440>, <kernel.Type object at 0xea3ef0>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring product_prod_o_int:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ecb425cb0>, <kernel.Type object at 0xea3ef0>) of role type named ty_n_t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring list_set_nat:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ecb425d40>, <kernel.Type object at 0xea3d88>) of role type named ty_n_t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring list_Code_integer:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ecb425ea8>, <kernel.Type object at 0xea3518>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring set_VEBT_VEBT:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ecb425cb0>, <kernel.Type object at 0xea37e8>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring set_set_nat:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ecb425ea8>, <kernel.Type object at 0xea3710>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring set_set_int:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ecb425d40>, <kernel.Type object at 0xea32d8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Ounit_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring set_Product_unit:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ecb425d40>, <kernel.Type object at 0xea3bd8>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring list_complex:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0xea3200>, <kernel.Type object at 0xea3368>) of role type named ty_n_t__Set__Oset_It__List__Olist_I_Eo_J_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring set_list_o:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0xea3ef0>, <kernel.Type object at 0xea3cb0>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring product_prod_o_o:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0xea3d88>, <kernel.Type object at 0xea3368>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring set_complex:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0xea3cb0>, <kernel.Type object at 0x2b6ec3950248>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring filter_real:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0xea3368>, <kernel.Type object at 0x2b6ec3950248>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring option_num:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0xea3290>, <kernel.Type object at 0x2b6ec3950200>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring filter_nat:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0xea3d88>, <kernel.Type object at 0x2b6ec39501b8>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring list_real:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0xea3cb0>, <kernel.Type object at 0x2b6ec3950200>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring set_real:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0xea3290>, <kernel.Type object at 0x2b6ec3950128>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring list_nat:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0xea3290>, <kernel.Type object at 0x2b6ec3950098>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring list_int:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec39500e0>, <kernel.Type object at 0x2b6ec39502d8>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring vEBT_VEBT:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec39501b8>, <kernel.Type object at 0x2b6ec3950320>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring set_rat:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950170>, <kernel.Type object at 0x2b6ec3950368>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring set_num:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950248>, <kernel.Type object at 0x2b6ec39503b0>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring set_nat:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec39500e0>, <kernel.Type object at 0x2b6ec39503f8>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring set_int:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec39501b8>, <kernel.Type object at 0x2b6ec3950440>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring code_integer:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950170>, <kernel.Type object at 0x2b6ec3950488>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring extended_enat:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec39500e0>, <kernel.Type object at 0x2b6ec39503f8>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring list_o:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950050>, <kernel.Type object at 0x2b6ec3950518>) of role type named ty_n_t__Complex__Ocomplex
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring complex:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec39501b8>, <kernel.Type object at 0x2b6ec3950440>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring set_o:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec39500e0>, <kernel.Type object at 0x2b6ec3950560>) of role type named ty_n_t__Real__Oreal
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring real:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950050>, <kernel.Type object at 0x2b6ec39505a8>) of role type named ty_n_t__Rat__Orat
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring rat:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec39501b8>, <kernel.Type object at 0x2b6ec39505f0>) of role type named ty_n_t__Num__Onum
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring num:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec39500e0>, <kernel.Type object at 0x2b6ec3950638>) of role type named ty_n_t__Nat__Onat
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring nat:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950050>, <kernel.Type object at 0x2b6ec3950680>) of role type named ty_n_t__Int__Oint
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring int:Type
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950050>, <kernel.DependentProduct object at 0x2b6ec3950830>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring archim7802044766580827645g_real:(real->int)
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec39506c8>, <kernel.DependentProduct object at 0x2b6ec39508c0>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring archim3151403230148437115or_rat:(rat->int)
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950830>, <kernel.DependentProduct object at 0x2b6ec3950950>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring archim6058952711729229775r_real:(real->int)
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec39508c0>, <kernel.DependentProduct object at 0x2b6ec39509e0>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950950>, <kernel.DependentProduct object at 0x2b6ec3950a70>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring archim8280529875227126926d_real:(real->int)
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec39509e0>, <kernel.Constant object at 0x2b6ec3950248>) of role type named sy_c_BNF__Cardinal__Order__Relation_OnatLeq
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring bNF_Ca8665028551170535155natLeq:set_Pr1261947904930325089at_nat
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950a70>, <kernel.Constant object at 0x2b6ec39508c0>) of role type named sy_c_BNF__Cardinal__Order__Relation_OnatLess
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring bNF_Ca8459412986667044542atLess:set_Pr1261947904930325089at_nat
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950b00>, <kernel.DependentProduct object at 0x2b6ec3950248>) of role type named sy_c_Binomial_Obinomial
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring binomial:(nat->(nat->nat))
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950c20>, <kernel.DependentProduct object at 0x2b6ec3950a70>) of role type named sy_c_Binomial_Ogbinomial_001t__Complex__Ocomplex
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring gbinomial_complex:(complex->(nat->complex))
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950c68>, <kernel.DependentProduct object at 0x2b6ec3950b00>) of role type named sy_c_Binomial_Ogbinomial_001t__Int__Oint
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring gbinomial_int:(int->(nat->int))
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950ab8>, <kernel.DependentProduct object at 0x2b6ec3950c20>) of role type named sy_c_Binomial_Ogbinomial_001t__Nat__Onat
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring gbinomial_nat:(nat->(nat->nat))
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950b48>, <kernel.DependentProduct object at 0x2b6ec3950c68>) of role type named sy_c_Binomial_Ogbinomial_001t__Rat__Orat
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring gbinomial_rat:(rat->(nat->rat))
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec39508c0>, <kernel.DependentProduct object at 0x2b6ec3950ab8>) of role type named sy_c_Binomial_Ogbinomial_001t__Real__Oreal
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring gbinomial_real:(real->(nat->real))
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec39500e0>, <kernel.DependentProduct object at 0x2b6ec39508c0>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950b48>, <kernel.DependentProduct object at 0x2b6ec3950e60>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec39500e0>, <kernel.DependentProduct object at 0x2b6ec3950b48>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950e60>, <kernel.DependentProduct object at 0x2b6ec39500e0>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950b48>, <kernel.DependentProduct object at 0x2b6ec3950e60>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Code____Numeral__Ointeger
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring bit_se3949692690581998587nteger:(code_integer->(code_integer->code_integer))
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec39500e0>, <kernel.DependentProduct object at 0x2b6ec3950ea8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950e60>, <kernel.DependentProduct object at 0x2b6ec3950f38>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950e60>, <kernel.DependentProduct object at 0xe8a098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec3950e60>, <kernel.DependentProduct object at 0xe8a200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.39/0.58 FOF formula (<kernel.Constant object at 0x2b6ec39500e0>, <kernel.DependentProduct object at 0xe8a290>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.39/0.58 FOF formula (<kernel.Constant object at 0xe8a200>, <kernel.DependentProduct object at 0xe8a320>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.39/0.58 FOF formula (<kernel.Constant object at 0xe8a098>, <kernel.DependentProduct object at 0xe8a3b0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.39/0.58 Using role type
% 0.39/0.58 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a248>, <kernel.DependentProduct object at 0xe8a200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a128>, <kernel.DependentProduct object at 0xe8a518>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a248>, <kernel.DependentProduct object at 0xe8a128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a518>, <kernel.DependentProduct object at 0xe8a248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a128>, <kernel.DependentProduct object at 0xe8a518>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a248>, <kernel.DependentProduct object at 0xe8a128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a518>, <kernel.DependentProduct object at 0xe8a248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a128>, <kernel.DependentProduct object at 0xe8a518>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a248>, <kernel.DependentProduct object at 0xe8a128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a518>, <kernel.DependentProduct object at 0xe8a248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Code____Numeral__Ointeger
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_se1745604003318907178nteger:(nat->(code_integer->code_integer))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a128>, <kernel.DependentProduct object at 0xe8a518>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a248>, <kernel.DependentProduct object at 0xe8a128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a518>, <kernel.DependentProduct object at 0xe8a248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a128>, <kernel.DependentProduct object at 0xe8a518>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a248>, <kernel.DependentProduct object at 0xe8a128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a518>, <kernel.DependentProduct object at 0xe8a248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a128>, <kernel.DependentProduct object at 0xe8a518>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a248>, <kernel.DependentProduct object at 0xe8a128>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a518>, <kernel.DependentProduct object at 0xe8a248>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8ae60>, <kernel.DependentProduct object at 0xe8a128>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8af38>, <kernel.DependentProduct object at 0xe8a518>) of role type named sy_c_Code__Numeral_Obit__cut__integer
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring code_bit_cut_integer:(code_integer->produc6271795597528267376eger_o)
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a2d8>, <kernel.DependentProduct object at 0xe8af38>) of role type named sy_c_Code__Numeral_Odivmod__abs
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring code_divmod_abs:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8ae18>, <kernel.DependentProduct object at 0xe8d098>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8af80>, <kernel.DependentProduct object at 0xe8d050>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring code_int_of_integer:(code_integer->int)
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a5a8>, <kernel.DependentProduct object at 0xe8d128>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring code_integer_of_int:(int->code_integer)
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8ae18>, <kernel.DependentProduct object at 0xe8d0e0>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring code_nat_of_integer:(code_integer->nat)
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a5a8>, <kernel.DependentProduct object at 0xe8d098>) 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
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring comple8358262395181532106omplex:(set_fi4554929511873752355omplex->filter6041513312241820739omplex)
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a5a8>, <kernel.DependentProduct object at 0xe8d128>) 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
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring comple2936214249959783750l_real:(set_fi7789364187291644575l_real->filter2146258269922977983l_real)
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8ae18>, <kernel.DependentProduct object at 0xe8d290>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Nat__Onat
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring complete_Inf_Inf_nat:(set_nat->nat)
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8d098>, <kernel.DependentProduct object at 0xe8d2d8>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Nat__Onat_J
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring comple7806235888213564991et_nat:(set_set_nat->set_nat)
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8a5a8>, <kernel.DependentProduct object at 0xe8d368>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Nat__Onat
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring complete_Sup_Sup_nat:(set_nat->nat)
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8d1b8>, <kernel.DependentProduct object at 0xe8d3b0>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Nat__Onat_J
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring comple7399068483239264473et_nat:(set_set_nat->set_nat)
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8d0e0>, <kernel.DependentProduct object at 0xe8d440>) of role type named sy_c_Complex_OArg
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring arg:(complex->real)
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8d3b0>, <kernel.DependentProduct object at 0xe8d488>) of role type named sy_c_Complex_Ocis
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring cis:(real->complex)
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8d248>, <kernel.DependentProduct object at 0xe8d3b0>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring complex2:(real->(real->complex))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8d0e0>, <kernel.DependentProduct object at 0xe8d368>) of role type named sy_c_Conditionally__Complete__Lattices_Opreorder__class_Obdd__above_001t__Nat__Onat
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring condit2214826472909112428ve_nat:(set_nat->Prop)
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8d248>, <kernel.DependentProduct object at 0xe8d488>) of role type named sy_c_Deriv_Odifferentiable_001t__Real__Oreal_001t__Real__Oreal
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring differ6690327859849518006l_real:((real->real)->(filter_real->Prop))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8d368>, <kernel.DependentProduct object at 0xe8d6c8>) of role type named sy_c_Deriv_Ohas__derivative_001t__Real__Oreal_001t__Real__Oreal
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring has_de1759254742604945161l_real:((real->real)->((real->real)->(filter_real->Prop)))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8d488>, <kernel.DependentProduct object at 0xe8d680>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8d5f0>, <kernel.DependentProduct object at 0xe8d6c8>) of role type named sy_c_Divides_Odivmod__nat
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8d290>, <kernel.DependentProduct object at 0xe8d5f0>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8d488>, <kernel.DependentProduct object at 0xe8d2d8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Code____Numeral__Ointeger
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring unique5706413561485394159nteger:(produc8923325533196201883nteger->Prop)
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8d290>, <kernel.DependentProduct object at 0xe8d7e8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8d2d8>, <kernel.DependentProduct object at 0xe8d878>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8d7e8>, <kernel.DependentProduct object at 0xe8d2d8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8d878>, <kernel.DependentProduct object at 0xe8d7e8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.39/0.59 FOF formula (<kernel.Constant object at 0xe8d2d8>, <kernel.DependentProduct object at 0xe8d878>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe8d7e8>, <kernel.DependentProduct object at 0xe8db48>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring unique4921790084139445826nteger:(num->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe8d878>, <kernel.DependentProduct object at 0xe8d7e8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe8db48>, <kernel.DependentProduct object at 0xe8d878>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe8d7e8>, <kernel.DependentProduct object at 0xe8db48>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Code____Numeral__Ointeger
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring comm_s8582702949713902594nteger:(code_integer->(nat->code_integer))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe8d878>, <kernel.DependentProduct object at 0xe8d7e8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Complex__Ocomplex
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring comm_s2602460028002588243omplex:(complex->(nat->complex))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe8db48>, <kernel.DependentProduct object at 0xe8d878>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Int__Oint
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring comm_s4660882817536571857er_int:(int->(nat->int))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe8d7e8>, <kernel.DependentProduct object at 0xe8db48>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Nat__Onat
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring comm_s4663373288045622133er_nat:(nat->(nat->nat))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe8d878>, <kernel.DependentProduct object at 0xe8d7e8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Rat__Orat
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring comm_s4028243227959126397er_rat:(rat->(nat->rat))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe8db48>, <kernel.DependentProduct object at 0xe8d878>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Real__Oreal
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring comm_s7457072308508201937r_real:(real->(nat->real))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe8d7e8>, <kernel.DependentProduct object at 0xe94050>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe8d878>, <kernel.DependentProduct object at 0xe94128>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Int__Oint
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring semiri1406184849735516958ct_int:(nat->int)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe8d878>, <kernel.DependentProduct object at 0xe941b8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe8db48>, <kernel.DependentProduct object at 0xe94248>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Rat__Orat
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring semiri773545260158071498ct_rat:(nat->rat)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94128>, <kernel.DependentProduct object at 0xe942d8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe8dfc8>, <kernel.DependentProduct object at 0xe94368>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring inverse_inverse_real:(real->real)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe8dfc8>, <kernel.Constant object at 0xe94368>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring at_bot_real:filter_real
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94128>, <kernel.Constant object at 0xe94368>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring at_top_nat:filter_nat
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94320>, <kernel.Constant object at 0xe94368>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring at_top_real:filter_real
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94050>, <kernel.DependentProduct object at 0xe94128>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94320>, <kernel.DependentProduct object at 0xe943b0>) of role type named sy_c_Filter_Oeventually_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring eventu1038000079068216329at_nat:((product_prod_nat_nat->Prop)->(filter1242075044329608583at_nat->Prop))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94248>, <kernel.DependentProduct object at 0xe94128>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe943b0>, <kernel.DependentProduct object at 0xe94368>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe945f0>, <kernel.DependentProduct object at 0xe94050>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94680>, <kernel.DependentProduct object at 0xe945a8>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe945f0>, <kernel.DependentProduct object at 0xe94680>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring princi3496590319149328850omplex:(set_Pr5085853215250843933omplex->filter6041513312241820739omplex)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe945a8>, <kernel.DependentProduct object at 0xe945f0>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring princi6114159922880469582l_real:(set_Pr6218003697084177305l_real->filter2146258269922977983l_real)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94248>, <kernel.DependentProduct object at 0xe94680>) of role type named sy_c_Filter_Oprod__filter_001t__Nat__Onat_001t__Nat__Onat
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring prod_filter_nat_nat:(filter_nat->(filter_nat->filter1242075044329608583at_nat))
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe947e8>, <kernel.DependentProduct object at 0xe94830>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_card_complex:(set_complex->nat)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94710>, <kernel.DependentProduct object at 0xe947a0>) of role type named sy_c_Finite__Set_Ocard_001t__Int__Oint
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_card_int:(set_int->nat)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94758>, <kernel.DependentProduct object at 0xe94878>) of role type named sy_c_Finite__Set_Ocard_001t__List__Olist_It__Nat__Onat_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_card_list_nat:(set_list_nat->nat)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94680>, <kernel.DependentProduct object at 0xe948c0>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_card_nat:(set_nat->nat)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94758>, <kernel.DependentProduct object at 0xe94908>) of role type named sy_c_Finite__Set_Ocard_001t__Product____Type__Ounit
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite410649719033368117t_unit:(set_Product_unit->nat)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94830>, <kernel.DependentProduct object at 0xe94998>) of role type named sy_c_Finite__Set_Ocard_001t__Set__Oset_It__Nat__Onat_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_card_set_nat:(set_set_nat->nat)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94290>, <kernel.DependentProduct object at 0xe949e0>) of role type named sy_c_Finite__Set_Ofinite_001_Eo
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_finite_o:(set_o->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94758>, <kernel.DependentProduct object at 0xe948c0>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94998>, <kernel.DependentProduct object at 0xe94a70>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_finite_int:(set_int->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94290>, <kernel.DependentProduct object at 0xe94ab8>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_I_Eo_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_finite_list_o:(set_list_o->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94998>, <kernel.DependentProduct object at 0xe94b00>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Complex__Ocomplex_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite8712137658972009173omplex:(set_list_complex->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94ab8>, <kernel.DependentProduct object at 0xe94b90>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Int__Oint_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite3922522038869484883st_int:(set_list_int->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94b00>, <kernel.DependentProduct object at 0xe94c20>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Nat__Onat_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite8100373058378681591st_nat:(set_list_nat->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94b90>, <kernel.DependentProduct object at 0xe94cb0>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite3004134309566078307T_VEBT:(set_list_VEBT_VEBT->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94b00>, <kernel.DependentProduct object at 0xe94d40>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_finite_nat:(set_nat->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94c20>, <kernel.DependentProduct object at 0xe94d88>) of role type named sy_c_Finite__Set_Ofinite_001t__Num__Onum
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_finite_num:(set_num->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94b90>, <kernel.DependentProduct object at 0xe94dd0>) of role type named sy_c_Finite__Set_Ofinite_001t__Rat__Orat
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_finite_rat:(set_rat->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94b00>, <kernel.DependentProduct object at 0xe94e18>) of role type named sy_c_Finite__Set_Ofinite_001t__Real__Oreal
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite_finite_real:(set_real->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94b90>, <kernel.DependentProduct object at 0xe94e60>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite6551019134538273531omplex:(set_set_complex->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94e18>, <kernel.DependentProduct object at 0xe94ef0>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Int__Oint_J
% 0.39/0.60 Using role type
% 0.39/0.60 Declaring finite6197958912794628473et_int:(set_set_int->Prop)
% 0.39/0.60 FOF formula (<kernel.Constant object at 0xe94e60>, <kernel.DependentProduct object at 0xe94f80>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Nat__Onat_J
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring finite1152437895449049373et_nat:(set_set_nat->Prop)
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe94ef0>, <kernel.DependentProduct object at 0xe96050>) of role type named sy_c_Finite__Set_Ofinite_001t__VEBT____Definitions__OVEBT
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring finite5795047828879050333T_VEBT:(set_VEBT_VEBT->Prop)
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe94f80>, <kernel.DependentProduct object at 0xe96050>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe94ef0>, <kernel.DependentProduct object at 0xe96050>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe94f38>, <kernel.DependentProduct object at 0xe96050>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe94ef0>, <kernel.DependentProduct object at 0xe96248>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring comp_int_nat_int:((int->nat)->((int->int)->(int->nat)))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe94f80>, <kernel.DependentProduct object at 0xe96320>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring comp_nat_nat_nat:((nat->nat)->((nat->nat)->(nat->nat)))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe94f80>, <kernel.DependentProduct object at 0xe96170>) of role type named sy_c_Fun_Oid_001_Eo
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring id_o:(Prop->Prop)
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe96200>, <kernel.DependentProduct object at 0xe961b8>) of role type named sy_c_Fun_Oid_001t__Nat__Onat
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring id_nat:(nat->nat)
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe96050>, <kernel.DependentProduct object at 0xe961b8>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Nat__Onat
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring inj_on_nat_nat:((nat->nat)->(set_nat->Prop))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe96200>, <kernel.DependentProduct object at 0xe96248>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Real__Oreal
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring inj_on_real_real:((real->real)->(set_real->Prop))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe961b8>, <kernel.DependentProduct object at 0xe96290>) of role type named sy_c_Fun_Oinj__on_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring inj_on_set_nat_nat:((set_nat->nat)->(set_set_nat->Prop))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe96200>, <kernel.DependentProduct object at 0xe96128>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001_062_It__Int__Oint_M_Eo_J
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring map_fu434086159418415080_int_o:((int->product_prod_nat_nat)->(((product_prod_nat_nat->Prop)->(int->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(int->(int->Prop)))))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe96290>, <kernel.DependentProduct object at 0xe96170>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring map_fu4960017516451851995nt_int:((int->product_prod_nat_nat)->(((product_prod_nat_nat->product_prod_nat_nat)->(int->int))->((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(int->(int->int)))))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe96128>, <kernel.DependentProduct object at 0xe96290>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo_001_Eo
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring map_fu4826362097070443709at_o_o:((int->product_prod_nat_nat)->((Prop->Prop)->((product_prod_nat_nat->Prop)->(int->Prop))))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe96170>, <kernel.DependentProduct object at 0xe966c8>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Nat__Onat
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring map_fu2345160673673942751at_nat:((int->product_prod_nat_nat)->((nat->nat)->((product_prod_nat_nat->nat)->(int->nat))))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe96290>, <kernel.DependentProduct object at 0xe967a0>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring map_fu3667384564859982768at_int:((int->product_prod_nat_nat)->((product_prod_nat_nat->int)->((product_prod_nat_nat->product_prod_nat_nat)->(int->int))))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe966c8>, <kernel.DependentProduct object at 0xe96830>) of role type named sy_c_Fun_Omap__fun_001t__Real__Oreal_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_Eo_001_Eo
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring map_fu1856342031159181835at_o_o:((real->(nat->rat))->((Prop->Prop)->(((nat->rat)->Prop)->(real->Prop))))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe967a0>, <kernel.DependentProduct object at 0xe96248>) of role type named sy_c_Fun_Ostrict__mono__on_001t__Nat__Onat_001t__Nat__Onat
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring strict1292158309912662752at_nat:((nat->nat)->(set_nat->Prop))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe96830>, <kernel.DependentProduct object at 0xe968c0>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe96170>, <kernel.DependentProduct object at 0xe967a0>) of role type named sy_c_Fun__Def_Ois__measure_001t__Int__Oint
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring fun_is_measure_int:((int->nat)->Prop)
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe967e8>, <kernel.DependentProduct object at 0xe96908>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Int__Oint
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring gcd_Gcd_int:(set_int->int)
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe96758>, <kernel.DependentProduct object at 0xe96878>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Nat__Onat
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring gcd_Gcd_nat:(set_nat->nat)
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe96950>, <kernel.DependentProduct object at 0xe967e8>) of role type named sy_c_GCD_Obezw
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring bezw:(nat->(nat->product_prod_int_int))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe96998>, <kernel.DependentProduct object at 0xe969e0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe96908>, <kernel.DependentProduct object at 0xe967a0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring abs_abs_complex:(complex->complex)
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe96878>, <kernel.DependentProduct object at 0xe96a70>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring abs_abs_int:(int->int)
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe967e8>, <kernel.DependentProduct object at 0xe96ab8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring abs_abs_rat:(rat->rat)
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe969e0>, <kernel.DependentProduct object at 0xe96b00>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring abs_abs_real:(real->real)
% 0.39/0.61 FOF formula (<kernel.Constant object at 0xe967a0>, <kernel.DependentProduct object at 0xe96b90>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Int__Oint_M_Eo_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_minus_int_o:((int->Prop)->((int->Prop)->(int->Prop)))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xe969e0>, <kernel.DependentProduct object at 0xe96c20>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_1139252259498527702_nat_o:((list_nat->Prop)->((list_nat->Prop)->(list_nat->Prop)))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xe96b00>, <kernel.DependentProduct object at 0xe96bd8>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Nat__Onat_M_Eo_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_minus_nat_o:((nat->Prop)->((nat->Prop)->(nat->Prop)))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xe96c68>, <kernel.DependentProduct object at 0xe96cf8>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Real__Oreal_M_Eo_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_minus_real_o:((real->Prop)->((real->Prop)->(real->Prop)))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xe96b00>, <kernel.DependentProduct object at 0xe96d40>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_6910147592129066416_nat_o:((set_nat->Prop)->((set_nat->Prop)->(set_nat->Prop)))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xe96cf8>, <kernel.DependentProduct object at 0xe96cb0>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_2794559001203777698VEBT_o:((vEBT_VEBT->Prop)->((vEBT_VEBT->Prop)->(vEBT_VEBT->Prop)))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xe96d40>, <kernel.DependentProduct object at 0xe96cf8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_8373710615458151222nteger:(code_integer->(code_integer->code_integer))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xe96e18>, <kernel.DependentProduct object at 0xe96cb0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xe96d88>, <kernel.DependentProduct object at 0xe96d40>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_minus_int:(int->(int->int))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xe96ea8>, <kernel.DependentProduct object at 0xe96e18>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xe96b00>, <kernel.DependentProduct object at 0xe96d88>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_minus_rat:(rat->(rat->rat))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xe96bd8>, <kernel.DependentProduct object at 0xe96ea8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_minus_real:(real->(real->real))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xe96b00>, <kernel.DependentProduct object at 0xe96bd8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xe96d40>, <kernel.DependentProduct object at 0xe96d88>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xe96b00>, <kernel.DependentProduct object at 0xe96bd8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_7954133019191499631st_nat:(set_list_nat->(set_list_nat->set_list_nat))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xe96e60>, <kernel.DependentProduct object at 0x2b6ec395a128>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xe96b00>, <kernel.DependentProduct object at 0x2b6ec395a200>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xe96e60>, <kernel.DependentProduct object at 0x2b6ec395a248>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_2163939370556025621et_nat:(set_set_nat->(set_set_nat->set_set_nat))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a200>, <kernel.DependentProduct object at 0x2b6ec395a128>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_5127226145743854075T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xe96e60>, <kernel.Constant object at 0x2b6ec395a128>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring one_one_Code_integer:code_integer
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xe96e60>, <kernel.Constant object at 0x2b6ec395a128>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring one_one_complex:complex
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a290>, <kernel.Constant object at 0x2b6ec395a170>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a2d8>, <kernel.Constant object at 0x2b6ec395a170>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring one_one_int:int
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a368>, <kernel.Constant object at 0x2b6ec395a170>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring one_one_nat:nat
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a3b0>, <kernel.Constant object at 0x2b6ec395a170>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring one_one_rat:rat
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a3f8>, <kernel.Constant object at 0x2b6ec395a170>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring one_one_real:real
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a3b0>, <kernel.DependentProduct object at 0x2b6ec395a3f8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a560>, <kernel.DependentProduct object at 0x2b6ec395a170>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a3b0>, <kernel.DependentProduct object at 0x2b6ec395a560>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a638>, <kernel.DependentProduct object at 0x2b6ec395a170>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring plus_plus_int:(int->(int->int))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a440>, <kernel.DependentProduct object at 0x2b6ec395a3b0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a710>, <kernel.DependentProduct object at 0x2b6ec395a638>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring plus_plus_num:(num->(num->num))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a3f8>, <kernel.DependentProduct object at 0x2b6ec395a440>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a5f0>, <kernel.DependentProduct object at 0x2b6ec395a710>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring plus_plus_real:(real->(real->real))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a560>, <kernel.DependentProduct object at 0x2b6ec395a170>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a638>, <kernel.DependentProduct object at 0x2b6ec395a3b0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring sgn_sgn_complex:(complex->complex)
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a440>, <kernel.DependentProduct object at 0x2b6ec395a8c0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring sgn_sgn_int:(int->int)
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a710>, <kernel.DependentProduct object at 0x2b6ec395a908>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring sgn_sgn_rat:(rat->rat)
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a170>, <kernel.DependentProduct object at 0x2b6ec395a950>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring sgn_sgn_real:(real->real)
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a710>, <kernel.DependentProduct object at 0x2b6ec395a170>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a998>, <kernel.DependentProduct object at 0x2b6ec395a950>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring times_times_complex:(complex->(complex->complex))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a710>, <kernel.DependentProduct object at 0x2b6ec395a998>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395aa70>, <kernel.DependentProduct object at 0x2b6ec395a950>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring times_times_int:(int->(int->int))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a3b0>, <kernel.DependentProduct object at 0x2b6ec395a710>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring times_times_nat:(nat->(nat->nat))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395ab48>, <kernel.DependentProduct object at 0x2b6ec395aa70>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring times_times_num:(num->(num->num))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a170>, <kernel.DependentProduct object at 0x2b6ec395a3b0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring times_times_rat:(rat->(rat->rat))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395aa28>, <kernel.DependentProduct object at 0x2b6ec395ab48>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring times_times_real:(real->(real->real))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395a998>, <kernel.DependentProduct object at 0x2b6ec395a170>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Int__Oint_M_Eo_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring uminus_uminus_int_o:((int->Prop)->(int->Prop))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6ec395aa28>, <kernel.DependentProduct object at 0x2b6ec395a998>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring uminus5770388063884162150_nat_o:((list_nat->Prop)->(list_nat->Prop))
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395a3b0>, <kernel.DependentProduct object at 0x2b6ec395a170>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Nat__Onat_M_Eo_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring uminus_uminus_nat_o:((nat->Prop)->(nat->Prop))
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395a998>, <kernel.DependentProduct object at 0x2b6ec395aa28>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Real__Oreal_M_Eo_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring uminus_uminus_real_o:((real->Prop)->(real->Prop))
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395a3b0>, <kernel.DependentProduct object at 0x2b6ec395a998>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring uminus6401447641752708672_nat_o:((set_nat->Prop)->(set_nat->Prop))
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395aa28>, <kernel.DependentProduct object at 0x2b6ec395a3b0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring uminus2746543603091002386VEBT_o:((vEBT_VEBT->Prop)->(vEBT_VEBT->Prop))
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395a998>, <kernel.DependentProduct object at 0x2b6ec395aef0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395a3b0>, <kernel.DependentProduct object at 0x2b6ec395af80>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395ad88>, <kernel.DependentProduct object at 0x2b6ec395e050>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring uminus_uminus_int:(int->int)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395ae60>, <kernel.DependentProduct object at 0x2b6ec395e098>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring uminus_uminus_rat:(rat->rat)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395af80>, <kernel.DependentProduct object at 0x2b6ec395e0e0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring uminus_uminus_real:(real->real)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395ae60>, <kernel.DependentProduct object at 0x2b6ec395e128>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Int__Oint_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring uminus1532241313380277803et_int:(set_int->set_int)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395ae60>, <kernel.DependentProduct object at 0x2b6ec395e1b8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring uminus3195874150345416415st_nat:(set_list_nat->set_list_nat)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395ad88>, <kernel.DependentProduct object at 0x2b6ec395e248>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e128>, <kernel.DependentProduct object at 0x2b6ec395e2d8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Real__Oreal_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring uminus612125837232591019t_real:(set_real->set_real)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e0e0>, <kernel.DependentProduct object at 0x2b6ec395e368>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring uminus613421341184616069et_nat:(set_set_nat->set_set_nat)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e1b8>, <kernel.DependentProduct object at 0x2b6ec395e3f8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring uminus8041839845116263051T_VEBT:(set_VEBT_VEBT->set_VEBT_VEBT)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e098>, <kernel.Constant object at 0x2b6ec395e3f8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring zero_z3403309356797280102nteger:code_integer
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e368>, <kernel.Constant object at 0x2b6ec395e3f8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring zero_zero_complex:complex
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e098>, <kernel.Constant object at 0x2b6ec395e128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e488>, <kernel.Constant object at 0x2b6ec395e128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring zero_zero_int:int
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e518>, <kernel.Constant object at 0x2b6ec395e128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring zero_zero_nat:nat
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e560>, <kernel.Constant object at 0x2b6ec395e128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring zero_zero_rat:rat
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e5a8>, <kernel.Constant object at 0x2b6ec395e128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring zero_zero_real:real
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e560>, <kernel.DependentProduct object at 0x2b6ec395e5a8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001_Eo_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups8507830703676809646_o_nat:((Prop->nat)->(set_o->nat))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e128>, <kernel.DependentProduct object at 0x2b6ec395e710>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e5a8>, <kernel.DependentProduct object at 0x2b6ec395e560>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e710>, <kernel.DependentProduct object at 0x2b6ec395e128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e560>, <kernel.DependentProduct object at 0x2b6ec395e5a8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups5058264527183730370ex_rat:((complex->rat)->(set_complex->rat))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e128>, <kernel.DependentProduct object at 0x2b6ec395e710>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e5a8>, <kernel.DependentProduct object at 0x2b6ec395e560>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups7873554091576472773nteger:((int->code_integer)->(set_int->code_integer))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e710>, <kernel.DependentProduct object at 0x2b6ec395e128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Complex__Ocomplex
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups3049146728041665814omplex:((int->complex)->(set_int->complex))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e560>, <kernel.DependentProduct object at 0x2b6ec395e5a8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e128>, <kernel.DependentProduct object at 0x2b6ec395e710>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e5a8>, <kernel.DependentProduct object at 0x2b6ec395e560>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Rat__Orat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups3906332499630173760nt_rat:((int->rat)->(set_int->rat))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e710>, <kernel.DependentProduct object at 0x2b6ec395e128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e560>, <kernel.DependentProduct object at 0x2b6ec395e5a8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups7501900531339628137nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e128>, <kernel.DependentProduct object at 0x2b6ec395e710>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e5a8>, <kernel.DependentProduct object at 0x2b6ec395e560>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Extended____Nat__Oenat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups7108830773950497114d_enat:((nat->extended_enat)->(set_nat->extended_enat))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e710>, <kernel.DependentProduct object at 0x2b6ec395e128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e560>, <kernel.DependentProduct object at 0x2b6ec395e5a8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e128>, <kernel.DependentProduct object at 0x2b6ec395e5f0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Rat__Orat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups2906978787729119204at_rat:((nat->rat)->(set_nat->rat))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e128>, <kernel.DependentProduct object at 0x2b6ec3963098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e128>, <kernel.DependentProduct object at 0x2b6ec3963050>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups977919841031483927at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->nat))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6ec395e560>, <kernel.DependentProduct object at 0x2b6ec3963098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Real__Oreal
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring groups4567486121110086003t_real:((product_prod_nat_nat->real)->(set_Pr1261947904930325089at_nat->real))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3963248>, <kernel.DependentProduct object at 0x2b6ec39631b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups7713935264441627589nteger:((real->code_integer)->(set_real->code_integer))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec39632d8>, <kernel.DependentProduct object at 0x2b6ec3963170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups5754745047067104278omplex:((real->complex)->(set_real->complex))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3963290>, <kernel.DependentProduct object at 0x2b6ec3963248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups1932886352136224148al_int:((real->int)->(set_real->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3963368>, <kernel.DependentProduct object at 0x2b6ec39633f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3963290>, <kernel.DependentProduct object at 0x2b6ec39632d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Rat__Orat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups1300246762558778688al_rat:((real->rat)->(set_real->rat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec39633f8>, <kernel.DependentProduct object at 0x2b6ec3963368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec39632d8>, <kernel.DependentProduct object at 0x2b6ec3963290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups8294997508430121362at_nat:((set_nat->nat)->(set_set_nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3963368>, <kernel.DependentProduct object at 0x2b6ec39633f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups5107569545109728110t_real:((set_nat->real)->(set_set_nat->real))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3963290>, <kernel.DependentProduct object at 0x2b6ec39632d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups5748017345553531991nteger:((vEBT_VEBT->code_integer)->(set_VEBT_VEBT->code_integer))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec39633f8>, <kernel.DependentProduct object at 0x2b6ec3963368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Complex__Ocomplex
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups1794756597179926696omplex:((vEBT_VEBT->complex)->(set_VEBT_VEBT->complex))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec39632d8>, <kernel.DependentProduct object at 0x2b6ec3963290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups769130701875090982BT_int:((vEBT_VEBT->int)->(set_VEBT_VEBT->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3963368>, <kernel.DependentProduct object at 0x2b6ec39633f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups771621172384141258BT_nat:((vEBT_VEBT->nat)->(set_VEBT_VEBT->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3963290>, <kernel.DependentProduct object at 0x2b6ec39632d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Rat__Orat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups136491112297645522BT_rat:((vEBT_VEBT->rat)->(set_VEBT_VEBT->rat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec39633f8>, <kernel.DependentProduct object at 0x2b6ec3963368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups2240296850493347238T_real:((vEBT_VEBT->real)->(set_VEBT_VEBT->real))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec39632d8>, <kernel.DependentProduct object at 0x2b6ec3963290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups8682486955453173170nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3963368>, <kernel.DependentProduct object at 0x2b6ec39633f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups3708469109370488835omplex:((complex->complex)->(set_complex->complex))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3963290>, <kernel.DependentProduct object at 0x2b6ec39632d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups858564598930262913ex_int:((complex->int)->(set_complex->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec39633f8>, <kernel.DependentProduct object at 0x2b6ec3963368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups861055069439313189ex_nat:((complex->nat)->(set_complex->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec39632d8>, <kernel.DependentProduct object at 0x2b6ec3963290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups225925009352817453ex_rat:((complex->rat)->(set_complex->rat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3963368>, <kernel.DependentProduct object at 0x2b6ec39633f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups766887009212190081x_real:((complex->real)->(set_complex->real))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3963290>, <kernel.DependentProduct object at 0x2b6ec39632d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups3827104343326376752nteger:((int->code_integer)->(set_int->code_integer))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec39633f8>, <kernel.DependentProduct object at 0x2b6ec3963368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Complex__Ocomplex
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups7440179247065528705omplex:((int->complex)->(set_int->complex))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec39632d8>, <kernel.DependentProduct object at 0x2b6ec3963290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3963368>, <kernel.DependentProduct object at 0x2b6ec39633f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups1707563613775114915nt_nat:((int->nat)->(set_int->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3963290>, <kernel.DependentProduct object at 0x2b6ec3963710>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Rat__Orat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups1072433553688619179nt_rat:((int->rat)->(set_int->rat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3963290>, <kernel.DependentProduct object at 0x2b6ec3967098>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups2316167850115554303t_real:((int->real)->(set_int->real))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3963290>, <kernel.DependentProduct object at 0x2b6ec3967128>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups3455450783089532116nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3963368>, <kernel.DependentProduct object at 0x2b6ec3967170>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups6464643781859351333omplex:((nat->complex)->(set_nat->complex))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3967200>, <kernel.DependentProduct object at 0x2b6ec3967248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec39672d8>, <kernel.DependentProduct object at 0x2b6ec39671b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3967290>, <kernel.DependentProduct object at 0x2b6ec3967200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Rat__Orat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups73079841787564623at_rat:((nat->rat)->(set_nat->rat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3967368>, <kernel.DependentProduct object at 0x2b6ec39673f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups129246275422532515t_real:((nat->real)->(set_nat->real))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3967290>, <kernel.DependentProduct object at 0x2b6ec39670e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups4075276357253098568at_int:((product_prod_nat_nat->int)->(set_Pr1261947904930325089at_nat->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec39673f8>, <kernel.DependentProduct object at 0x2b6ec3967200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups4077766827762148844at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec39670e0>, <kernel.DependentProduct object at 0x2b6ec39672d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups713298508707869441omplex:((real->complex)->(set_real->complex))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec3967200>, <kernel.DependentProduct object at 0x2b6ec39673f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups4694064378042380927al_int:((real->int)->(set_real->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec39672d8>, <kernel.DependentProduct object at 0x2b6ec39670e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups4696554848551431203al_nat:((real->nat)->(set_real->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec39673f8>, <kernel.DependentProduct object at 0x2b6ec3967200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Rat__Orat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring groups4061424788464935467al_rat:((real->rat)->(set_real->rat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6ec39670e0>, <kernel.DependentProduct object at 0x2b6ec39672d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring groups1681761925125756287l_real:((real->real)->(set_real->real))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3967200>, <kernel.DependentProduct object at 0x2b6ec39673f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Set__Oset_It__Nat__Onat_J_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring groups3619160379726066777t_real:((set_nat->real)->(set_set_nat->real))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec39672d8>, <kernel.DependentProduct object at 0x2b6ec39670e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__VEBT____Definitions__OVEBT_001t__Complex__Ocomplex
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring groups127312072573709053omplex:((vEBT_VEBT->complex)->(set_VEBT_VEBT->complex))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec39673f8>, <kernel.DependentProduct object at 0x2b6ec3967200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring groups6359315924273963643BT_int:((vEBT_VEBT->int)->(set_VEBT_VEBT->int))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec39670e0>, <kernel.DependentProduct object at 0x2b6ec39672d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring groups6361806394783013919BT_nat:((vEBT_VEBT->nat)->(set_VEBT_VEBT->nat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3967200>, <kernel.DependentProduct object at 0x2b6ec39673f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__VEBT____Definitions__OVEBT_001t__Rat__Orat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring groups5726676334696518183BT_rat:((vEBT_VEBT->rat)->(set_VEBT_VEBT->rat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec39672d8>, <kernel.DependentProduct object at 0x2b6ec39670e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring groups2703838992350267259T_real:((vEBT_VEBT->real)->(set_VEBT_VEBT->real))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec39673f8>, <kernel.DependentProduct object at 0x2b6ec39672d8>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring groups9116527308978886569_o_int:((Prop->int)->(int->(list_o->int)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec39670e0>, <kernel.DependentProduct object at 0x2b6ec3967dd0>) of role type named sy_c_Groups__List_Omonoid__add__class_Osum__list_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring groups4561878855575611511st_nat:(list_nat->nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3967320>, <kernel.DependentProduct object at 0x2b6ec3967e18>) of role type named sy_c_HOL_OThe_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring the_int:((int->Prop)->int)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3967cf8>, <kernel.DependentProduct object at 0x2b6ec3967e60>) of role type named sy_c_HOL_OThe_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring the_real:((real->Prop)->real)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec39673f8>, <kernel.DependentProduct object at 0x2b6ec3967ea8>) of role type named sy_c_If_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring if_int_int:(Prop->((int->int)->((int->int)->(int->int))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3967dd0>, <kernel.DependentProduct object at 0x2b6ec3967ea8>) of role type named sy_c_If_001t__Code____Numeral__Ointeger
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring if_Code_integer:(Prop->(code_integer->(code_integer->code_integer)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3967c20>, <kernel.DependentProduct object at 0x2b6ec3967e60>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3967fc8>, <kernel.DependentProduct object at 0x2b6ec3967c20>) of role type named sy_c_If_001t__Extended____Nat__Oenat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring if_Extended_enat:(Prop->(extended_enat->(extended_enat->extended_enat)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3967f80>, <kernel.DependentProduct object at 0x2b6ec3967c20>) of role type named sy_c_If_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring if_int:(Prop->(int->(int->int)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3967cb0>, <kernel.DependentProduct object at 0x2b6ec3967c20>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec39673f8>, <kernel.DependentProduct object at 0x2b6ec3967c20>) of role type named sy_c_If_001t__List__Olist_It__Nat__Onat_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring if_list_nat:(Prop->(list_nat->(list_nat->list_nat)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3967f80>, <kernel.DependentProduct object at 0x2b6ec3967c20>) of role type named sy_c_If_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3967cb0>, <kernel.DependentProduct object at 0x2b6ec3969098>) of role type named sy_c_If_001t__Num__Onum
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring if_num:(Prop->(num->(num->num)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec39673f8>, <kernel.DependentProduct object at 0x2b6ec3969128>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3967cb0>, <kernel.DependentProduct object at 0x2b6ec39690e0>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring if_Pro5737122678794959658eger_o:(Prop->(produc6271795597528267376eger_o->(produc6271795597528267376eger_o->produc6271795597528267376eger_o)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3967cb0>, <kernel.DependentProduct object at 0x2b6ec3969098>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3967f80>, <kernel.DependentProduct object at 0x2b6ec3969098>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3969248>, <kernel.DependentProduct object at 0x2b6ec39690e0>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3967dd0>, <kernel.DependentProduct object at 0x2b6ec39690e0>) of role type named sy_c_If_001t__Rat__Orat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3967dd0>, <kernel.DependentProduct object at 0x2b6ec39690e0>) of role type named sy_c_If_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring if_real:(Prop->(real->(real->real)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3969488>, <kernel.DependentProduct object at 0x2b6ec39690e0>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec39694d0>, <kernel.DependentProduct object at 0x2b6ec39690e0>) of role type named sy_c_If_001t__VEBT____Definitions__OVEBT
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring if_VEBT_VEBT:(Prop->(vEBT_VEBT->(vEBT_VEBT->vEBT_VEBT)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3969488>, <kernel.DependentProduct object at 0x2b6ec39694d0>) of role type named sy_c_Infinite__Set_Owellorder__class_Oenumerate_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring infini8530281810654367211te_nat:(set_nat->(nat->nat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6ec3969560>, <kernel.DependentProduct object at 0x2b6ec3969518>) of role type named sy_c_Int_OAbs__Integ
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring abs_Integ:(product_prod_nat_nat->int)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec39693b0>, <kernel.DependentProduct object at 0x2b6ec39695a8>) of role type named sy_c_Int_ORep__Integ
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring rep_Integ:(int->product_prod_nat_nat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969368>, <kernel.DependentProduct object at 0x2b6ec39693b0>) of role type named sy_c_Int_Oint__ge__less__than
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring int_ge_less_than:(int->set_Pr958786334691620121nt_int)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969248>, <kernel.DependentProduct object at 0x2b6ec39695a8>) of role type named sy_c_Int_Oint__ge__less__than2
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring int_ge_less_than2:(int->set_Pr958786334691620121nt_int)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec39690e0>, <kernel.DependentProduct object at 0x2b6ec3969638>) of role type named sy_c_Int_Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring nat2:(int->nat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec39695a8>, <kernel.DependentProduct object at 0x2b6ec3969368>) of role type named sy_c_Int_Opower__int_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring power_int_real:(real->(int->real))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec39690e0>, <kernel.DependentProduct object at 0x2b6ec3969710>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969368>, <kernel.DependentProduct object at 0x2b6ec39697a0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec39696c8>, <kernel.DependentProduct object at 0x2b6ec3969830>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring ring_1_of_int_int:(int->int)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969758>, <kernel.DependentProduct object at 0x2b6ec3969878>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Rat__Orat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring ring_1_of_int_rat:(int->rat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec39694d0>, <kernel.DependentProduct object at 0x2b6ec39698c0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring ring_1_of_int_real:(int->real)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec39697a0>, <kernel.DependentProduct object at 0x2b6ec3969758>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring inf_inf_int:(int->(int->int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969908>, <kernel.DependentProduct object at 0x2b6ec39694d0>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring inf_inf_nat:(nat->(nat->nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec39697a0>, <kernel.DependentProduct object at 0x2b6ec39698c0>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring inf_in2572325071724192079at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec39694d0>, <kernel.DependentProduct object at 0x2b6ec3969908>) of role type named sy_c_Lattices_Osemilattice__neutr__order_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring semila1623282765462674594er_nat:((nat->(nat->nat))->(nat->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969a70>, <kernel.DependentProduct object at 0x2b6ec39698c0>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring sup_sup_int:(int->(int->int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969b00>, <kernel.DependentProduct object at 0x2b6ec39694d0>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring sup_sup_nat:(nat->(nat->nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969b90>, <kernel.DependentProduct object at 0x2b6ec3969a70>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring sup_sup_set_nat:(set_nat->(set_nat->set_nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969b00>, <kernel.DependentProduct object at 0x2b6ec3969ab8>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring lattic8263393255366662781ax_int:(set_int->int)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969a70>, <kernel.DependentProduct object at 0x2b6ec3969bd8>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969ab8>, <kernel.DependentProduct object at 0x2b6ec3969a28>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Complex__Ocomplex_001t__Num__Onum
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring lattic1922116423962787043ex_num:((complex->num)->(set_complex->complex))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969bd8>, <kernel.DependentProduct object at 0x2b6ec3969a70>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring lattic4729654577720512673ex_rat:((complex->rat)->(set_complex->complex))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969a28>, <kernel.DependentProduct object at 0x2b6ec3969ab8>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring lattic8794016678065449205x_real:((complex->real)->(set_complex->complex))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969a70>, <kernel.DependentProduct object at 0x2b6ec3969bd8>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Int__Oint_001t__Num__Onum
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring lattic5003618458639192673nt_num:((int->num)->(set_int->int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969ab8>, <kernel.DependentProduct object at 0x2b6ec3969a28>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Int__Oint_001t__Rat__Orat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring lattic7811156612396918303nt_rat:((int->rat)->(set_int->int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969bd8>, <kernel.DependentProduct object at 0x2b6ec3969a70>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Int__Oint_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring lattic2675449441010098035t_real:((int->real)->(set_int->int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969a28>, <kernel.DependentProduct object at 0x2b6ec3969ab8>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Nat__Onat_001t__Num__Onum
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring lattic4004264746738138117at_num:((nat->num)->(set_nat->nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969a70>, <kernel.DependentProduct object at 0x2b6ec3969908>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Nat__Onat_001t__Rat__Orat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring lattic6811802900495863747at_rat:((nat->rat)->(set_nat->nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969a70>, <kernel.DependentProduct object at 0x2b6ec396a098>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Nat__Onat_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring lattic488527866317076247t_real:((nat->real)->(set_nat->nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969a70>, <kernel.DependentProduct object at 0x2b6ec396a128>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Real__Oreal_001t__Num__Onum
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring lattic1613168225601753569al_num:((real->num)->(set_real->real))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec3969a28>, <kernel.DependentProduct object at 0x2b6ec396a170>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Real__Oreal_001t__Rat__Orat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring lattic4420706379359479199al_rat:((real->rat)->(set_real->real))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec396a200>, <kernel.DependentProduct object at 0x2b6ec396a248>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring lattic8440615504127631091l_real:((real->real)->(set_real->real))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec396a2d8>, <kernel.DependentProduct object at 0x2b6ec396a1b8>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__VEBT____Definitions__OVEBT_001t__Num__Onum
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring lattic3331990488459210229BT_num:((vEBT_VEBT->num)->(set_VEBT_VEBT->vEBT_VEBT))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec396a290>, <kernel.DependentProduct object at 0x2b6ec396a200>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__VEBT____Definitions__OVEBT_001t__Rat__Orat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring lattic6139528642216935859BT_rat:((vEBT_VEBT->rat)->(set_VEBT_VEBT->vEBT_VEBT))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec396a320>, <kernel.DependentProduct object at 0x2b6ec396a2d8>) of role type named sy_c_List_Oappend_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring append_int:(list_int->(list_int->list_int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec396a3f8>, <kernel.DependentProduct object at 0x2b6ec396a290>) of role type named sy_c_List_Oappend_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring append_nat:(list_nat->(list_nat->list_nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec396a518>, <kernel.DependentProduct object at 0x2b6ec396a0e0>) of role type named sy_c_List_Ocount__list_001_Eo
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring count_list_o:(list_o->(Prop->nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec396a5f0>, <kernel.DependentProduct object at 0x2b6ec396a368>) of role type named sy_c_List_Ocount__list_001t__Complex__Ocomplex
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring count_list_complex:(list_complex->(complex->nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec396a4d0>, <kernel.DependentProduct object at 0x2b6ec396a3f8>) of role type named sy_c_List_Ocount__list_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring count_list_int:(list_int->(int->nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec396a320>, <kernel.DependentProduct object at 0x2b6ec396a5f0>) of role type named sy_c_List_Ocount__list_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring count_list_nat:(list_nat->(nat->nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec396a0e0>, <kernel.DependentProduct object at 0x2b6ec396a4d0>) of role type named sy_c_List_Ocount__list_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring count_list_real:(list_real->(real->nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec396a2d8>, <kernel.DependentProduct object at 0x2b6ec396a320>) of role type named sy_c_List_Ocount__list_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring count_list_set_nat:(list_set_nat->(set_nat->nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec396a518>, <kernel.DependentProduct object at 0x2b6ec396a0e0>) of role type named sy_c_List_Ocount__list_001t__VEBT____Definitions__OVEBT
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring count_list_VEBT_VEBT:(list_VEBT_VEBT->(vEBT_VEBT->nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec396a560>, <kernel.DependentProduct object at 0x2b6ec396a3f8>) of role type named sy_c_List_Odistinct_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring distinct_int:(list_int->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec396a368>, <kernel.DependentProduct object at 0x2b6ec396a5f0>) of role type named sy_c_List_Odistinct_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring distinct_nat:(list_nat->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec396a518>, <kernel.DependentProduct object at 0x2b6ec396a560>) of role type named sy_c_List_Odrop_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring drop_nat:(nat->(list_nat->list_nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec396a0e0>, <kernel.DependentProduct object at 0x2b6ec396a878>) of role type named sy_c_List_Olast_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring last_nat:(list_nat->nat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6ec396a2d8>, <kernel.DependentProduct object at 0x2b6ec396a3f8>) of role type named sy_c_List_Olinorder__class_Osort__key_001t__Int__Oint_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring linord1735203802627413978nt_int:((int->int)->(list_int->list_int))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396a0e0>, <kernel.DependentProduct object at 0x2b6ec396a518>) of role type named sy_c_List_Olinorder__class_Osort__key_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring linord738340561235409698at_nat:((nat->nat)->(list_nat->list_nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396a3f8>, <kernel.DependentProduct object at 0x2b6ec396a908>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396a2d8>, <kernel.DependentProduct object at 0x2b6ec396a518>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring cons_int:(int->(list_int->list_int))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396aa28>, <kernel.DependentProduct object at 0x2b6ec396a3f8>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396aa70>, <kernel.Constant object at 0x2b6ec396a3f8>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring nil_int:list_int
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396a518>, <kernel.Constant object at 0x2b6ec396a3f8>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring nil_nat:list_nat
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396a830>, <kernel.DependentProduct object at 0x2b6ec396ab90>) of role type named sy_c_List_Olist_Ohd_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring hd_nat:(list_nat->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396ab00>, <kernel.DependentProduct object at 0x2b6ec396ab90>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring map_nat_nat:((nat->nat)->(list_nat->list_nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396aa70>, <kernel.DependentProduct object at 0x2b6ec396abd8>) of role type named sy_c_List_Olist_Oset_001_Eo
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring set_o2:(list_o->set_o)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396a5f0>, <kernel.DependentProduct object at 0x2b6ec396a908>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring set_complex2:(list_complex->set_complex)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396a518>, <kernel.DependentProduct object at 0x2b6ec396ac68>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring set_int2:(list_int->set_int)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396ab90>, <kernel.DependentProduct object at 0x2b6ec396acb0>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring set_nat2:(list_nat->set_nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396abd8>, <kernel.DependentProduct object at 0x2b6ec396acf8>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring set_real2:(list_real->set_real)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396a908>, <kernel.DependentProduct object at 0x2b6ec396ad40>) of role type named sy_c_List_Olist_Oset_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring set_set_nat2:(list_set_nat->set_set_nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396ac68>, <kernel.DependentProduct object at 0x2b6ec396ad88>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396acb0>, <kernel.DependentProduct object at 0x2b6ec396acf8>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396a0e0>, <kernel.DependentProduct object at 0x2b6ec396ab90>) of role type named sy_c_List_Olist_Otl_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring tl_nat:(list_nat->list_nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396a908>, <kernel.DependentProduct object at 0x2b6ec396acf8>) of role type named sy_c_List_Olist__update_001_Eo
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring list_update_o:(list_o->(nat->(Prop->list_o)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396aea8>, <kernel.DependentProduct object at 0x2b6ec396ac68>) of role type named sy_c_List_Olist__update_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring list_update_int:(list_int->(nat->(int->list_int)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396ae18>, <kernel.DependentProduct object at 0x2b6ec396a0e0>) of role type named sy_c_List_Olist__update_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring list_update_nat:(list_nat->(nat->(nat->list_nat)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396afc8>, <kernel.DependentProduct object at 0x2b6ec396aea8>) of role type named sy_c_List_Olist__update_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring list_update_real:(list_real->(nat->(real->list_real)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396ab90>, <kernel.DependentProduct object at 0x2b6ec396ae18>) of role type named sy_c_List_Olist__update_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring list_update_set_nat:(list_set_nat->(nat->(set_nat->list_set_nat)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396afc8>, <kernel.DependentProduct object at 0x2b6ec396ab90>) of role type named sy_c_List_Olist__update_001t__VEBT____Definitions__OVEBT
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring list_u1324408373059187874T_VEBT:(list_VEBT_VEBT->(nat->(vEBT_VEBT->list_VEBT_VEBT)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396ad88>, <kernel.DependentProduct object at 0x2b6ec396f0e0>) of role type named sy_c_List_Onth_001_Eo
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring nth_o:(list_o->(nat->Prop))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396af80>, <kernel.DependentProduct object at 0x2b6ec396ab90>) of role type named sy_c_List_Onth_001t__Code____Numeral__Ointeger
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring nth_Code_integer:(list_Code_integer->(nat->code_integer))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396add0>, <kernel.DependentProduct object at 0x2b6ec396f098>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring nth_int:(list_int->(nat->int))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396ac68>, <kernel.DependentProduct object at 0x2b6ec396f200>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring nth_nat:(list_nat->(nat->nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396af80>, <kernel.DependentProduct object at 0x2b6ec396f170>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring nth_Product_prod_o_o:(list_P4002435161011370285od_o_o->(nat->product_prod_o_o))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396ac68>, <kernel.DependentProduct object at 0x2b6ec396f098>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring nth_Pr1649062631805364268_o_int:(list_P3795440434834930179_o_int->(nat->product_prod_o_int))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f050>, <kernel.DependentProduct object at 0x2b6ec396f200>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring nth_Pr5826913651314560976_o_nat:(list_P6285523579766656935_o_nat->(nat->product_prod_o_nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f1b8>, <kernel.DependentProduct object at 0x2b6ec396f2d8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring nth_Pr6777367263587873994T_VEBT:(list_P7495141550334521929T_VEBT->(nat->produc2504756804600209347T_VEBT))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f128>, <kernel.DependentProduct object at 0x2b6ec396f3b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring nth_Pr8522763379788166057eger_o:(list_P8526636022914148096eger_o->(nat->produc6271795597528267376eger_o))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f368>, <kernel.DependentProduct object at 0x2b6ec396f128>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring nth_Pr2304437835452373666nteger:(list_P5578671422887162913nteger->(nat->produc8923325533196201883nteger))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f3b0>, <kernel.DependentProduct object at 0x2b6ec396f368>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f128>, <kernel.DependentProduct object at 0x2b6ec396f3b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring nth_Pr6837108013167703752BT_int:(list_P4547456442757143711BT_int->(nat->produc4894624898956917775BT_int))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f368>, <kernel.DependentProduct object at 0x2b6ec396f128>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring nth_Pr1791586995822124652BT_nat:(list_P7037539587688870467BT_nat->(nat->produc9072475918466114483BT_nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f3b0>, <kernel.DependentProduct object at 0x2b6ec396f368>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f200>, <kernel.DependentProduct object at 0x2b6ec396f3b0>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring nth_real:(list_real->(nat->real))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f758>, <kernel.DependentProduct object at 0x2b6ec396f128>) of role type named sy_c_List_Onth_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring nth_set_nat:(list_set_nat->(nat->set_nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f7e8>, <kernel.DependentProduct object at 0x2b6ec396f368>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f6c8>, <kernel.DependentProduct object at 0x2b6ec396f7e8>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f878>, <kernel.DependentProduct object at 0x2b6ec396f758>) of role type named sy_c_List_Oproduct_001_Eo_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring product_o_int:(list_o->(list_int->list_P3795440434834930179_o_int))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f8c0>, <kernel.DependentProduct object at 0x2b6ec396f368>) of role type named sy_c_List_Oproduct_001_Eo_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring product_o_nat:(list_o->(list_nat->list_P6285523579766656935_o_nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f128>, <kernel.DependentProduct object at 0x2b6ec396f878>) of role type named sy_c_List_Oproduct_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring product_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f8c0>, <kernel.DependentProduct object at 0x2b6ec396f128>) of role type named sy_c_List_Oproduct_001t__Code____Numeral__Ointeger_001_Eo
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring produc3607205314601156340eger_o:(list_Code_integer->(list_o->list_P8526636022914148096eger_o))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f878>, <kernel.DependentProduct object at 0x2b6ec396f8c0>) of role type named sy_c_List_Oproduct_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring produc8792966785426426881nteger:(list_Code_integer->(list_Code_integer->list_P5578671422887162913nteger))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f9e0>, <kernel.DependentProduct object at 0x2b6ec396f128>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001_Eo
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring product_nat_o:(list_nat->(list_o->list_P7333126701944960589_nat_o))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f878>, <kernel.DependentProduct object at 0x2b6ec396f9e0>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring produc7156399406898700509T_VEBT:(list_nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f950>, <kernel.DependentProduct object at 0x2b6ec396f128>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f878>, <kernel.DependentProduct object at 0x2b6ec396f950>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring produc7292646706713671643BT_int:(list_VEBT_VEBT->(list_int->list_P4547456442757143711BT_int))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f128>, <kernel.DependentProduct object at 0x2b6ec396f878>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring produc7295137177222721919BT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f950>, <kernel.DependentProduct object at 0x2b6ec396f128>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f7a0>, <kernel.DependentProduct object at 0x2b6ec396fd40>) of role type named sy_c_List_Oremdups_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring remdups_nat:(list_nat->list_nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396fab8>, <kernel.DependentProduct object at 0x2b6ec396f950>) of role type named sy_c_List_Oreplicate_001_Eo
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring replicate_o:(nat->(Prop->list_o))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396fb90>, <kernel.DependentProduct object at 0x2b6ec396f128>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring replicate_int:(nat->(int->list_int))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f878>, <kernel.DependentProduct object at 0x2b6ec396fab8>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396fdd0>, <kernel.DependentProduct object at 0x2b6ec396fb90>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring replicate_real:(nat->(real->list_real))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396fc20>, <kernel.DependentProduct object at 0x2b6ec396f878>) of role type named sy_c_List_Oreplicate_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring replicate_set_nat:(nat->(set_nat->list_set_nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f7a0>, <kernel.DependentProduct object at 0x2b6ec396fdd0>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396f950>, <kernel.DependentProduct object at 0x2b6ec396fd40>) of role type named sy_c_List_Osorted__wrt_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring sorted_wrt_int:((int->(int->Prop))->(list_int->Prop))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b6ec396fdd0>, <kernel.DependentProduct object at 0x2b6ec396ff38>) of role type named sy_c_List_Osorted__wrt_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring sorted_wrt_nat:((nat->(nat->Prop))->(list_nat->Prop))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2b6ec396fcb0>, <kernel.DependentProduct object at 0x2b6ec396fdd0>) of role type named sy_c_List_Otake_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring take_nat:(nat->(list_nat->list_nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2b6ec396ffc8>, <kernel.DependentProduct object at 0x2b6ec396f950>) of role type named sy_c_List_Oupt
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring upt:(nat->(nat->list_nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2b6ec396f7a0>, <kernel.DependentProduct object at 0x2b6ec396ff38>) of role type named sy_c_List_Oupto
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring upto:(int->(int->list_int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2b6ec396f950>, <kernel.DependentProduct object at 0x1430050>) of role type named sy_c_List_Oupto__aux
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2b6ec396fcb0>, <kernel.DependentProduct object at 0x1430128>) of role type named sy_c_List_Oupto__rel
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring upto_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2b6ec396fc20>, <kernel.DependentProduct object at 0x14300e0>) of role type named sy_c_Nat_OSuc
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring suc:(nat->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2b6ec396f7a0>, <kernel.DependentProduct object at 0x1430200>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2b6ec396fd40>, <kernel.DependentProduct object at 0x1430290>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2b6ec396f128>, <kernel.DependentProduct object at 0x1430248>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2b6ec396f7a0>, <kernel.DependentProduct object at 0x14301b8>) of role type named sy_c_Nat_Onat_Opred
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring pred:(nat->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2b6ec396f128>, <kernel.Constant object at 0x14301b8>) of role type named sy_c_Nat_Osemiring__1__class_ONats_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring semiring_1_Nats_int:set_int
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430290>, <kernel.DependentProduct object at 0x14302d8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430248>, <kernel.DependentProduct object at 0x1430368>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430290>, <kernel.DependentProduct object at 0x14303f8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Extended____Nat__Oenat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring semiri4216267220026989637d_enat:(nat->extended_enat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430368>, <kernel.DependentProduct object at 0x1430488>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x14303f8>, <kernel.DependentProduct object at 0x1430518>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430488>, <kernel.DependentProduct object at 0x14305a8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430518>, <kernel.DependentProduct object at 0x1430638>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x14305a8>, <kernel.DependentProduct object at 0x1430098>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Complex__Ocomplex
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring semiri2816024913162550771omplex:((complex->complex)->(nat->(complex->complex)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430638>, <kernel.DependentProduct object at 0x1430710>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring semiri8420488043553186161ux_int:((int->int)->(nat->(int->int)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430098>, <kernel.DependentProduct object at 0x14307a0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring semiri8422978514062236437ux_nat:((nat->nat)->(nat->(nat->nat)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430710>, <kernel.DependentProduct object at 0x1430830>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Rat__Orat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring semiri7787848453975740701ux_rat:((rat->rat)->(nat->(rat->rat)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x14307a0>, <kernel.DependentProduct object at 0x14308c0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring semiri7260567687927622513x_real:((real->real)->(nat->(real->real)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430950>, <kernel.DependentProduct object at 0x1430a28>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_size_list_o:(list_o->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x14307a0>, <kernel.DependentProduct object at 0x14309e0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_s3445333598471063425nteger:(list_Code_integer->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430a28>, <kernel.DependentProduct object at 0x1430a70>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430758>, <kernel.DependentProduct object at 0x1430b00>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_size_list_int:(list_int->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430830>, <kernel.DependentProduct object at 0x1430b48>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_size_list_nat:(list_nat->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430758>, <kernel.DependentProduct object at 0x1430b90>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_s1515746228057227161od_o_o:(list_P4002435161011370285od_o_o->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430b48>, <kernel.DependentProduct object at 0x1430c20>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_s2953683556165314199_o_int:(list_P3795440434834930179_o_int->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430b90>, <kernel.DependentProduct object at 0x1430cb0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_s5443766701097040955_o_nat:(list_P6285523579766656935_o_nat->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430c20>, <kernel.DependentProduct object at 0x1430d40>) 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
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_s4313452262239582901T_VEBT:(list_P7495141550334521929T_VEBT->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430cb0>, <kernel.DependentProduct object at 0x1430dd0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_s6491369823275344609_nat_o:(list_P7333126701944960589_nat_o->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430d40>, <kernel.DependentProduct object at 0x1430e60>) 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
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_s4762443039079500285T_VEBT:(list_P5647936690300460905T_VEBT->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430dd0>, <kernel.DependentProduct object at 0x1430ef0>) 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
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_s9168528473962070013VEBT_o:(list_P3126845725202233233VEBT_o->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430e60>, <kernel.DependentProduct object at 0x1430f80>) 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
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_s3661962791536183091BT_int:(list_P4547456442757143711BT_int->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430ef0>, <kernel.DependentProduct object at 0x141d050>) 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
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_s6152045936467909847BT_nat:(list_P7037539587688870467BT_nat->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430f80>, <kernel.DependentProduct object at 0x141d0e0>) 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
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_s7466405169056248089T_VEBT:(list_P7413028617227757229T_VEBT->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430e60>, <kernel.DependentProduct object at 0x141d170>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_size_list_real:(list_real->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430e60>, <kernel.DependentProduct object at 0x141d1b8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_s3254054031482475050et_nat:(list_set_nat->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430fc8>, <kernel.DependentProduct object at 0x141d248>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430e60>, <kernel.DependentProduct object at 0x141d2d8>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_size_num:(num->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1430f80>, <kernel.DependentProduct object at 0x141d320>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_size_option_num:(option_num->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x141d200>, <kernel.DependentProduct object at 0x141d368>) 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
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x141d2d8>, <kernel.DependentProduct object at 0x141d3f8>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x141d290>, <kernel.DependentProduct object at 0x141d488>) of role type named sy_c_Nat__Bijection_Olist__encode
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring nat_list_encode:(list_nat->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x141d200>, <kernel.DependentProduct object at 0x141d320>) of role type named sy_c_Nat__Bijection_Olist__encode__rel
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring nat_list_encode_rel:(list_nat->(list_nat->Prop))
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141d0e0>, <kernel.DependentProduct object at 0x141d3f8>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141d368>, <kernel.DependentProduct object at 0x141d3b0>) of role type named sy_c_Nat__Bijection_Oprod__encode
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring nat_prod_encode:(product_prod_nat_nat->nat)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141d2d8>, <kernel.DependentProduct object at 0x141d5a8>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring nat_set_decode:(nat->set_nat)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141d320>, <kernel.DependentProduct object at 0x141d5f0>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring nat_set_encode:(set_nat->nat)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141d488>, <kernel.DependentProduct object at 0x141d638>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring nat_triangle:(nat->nat)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141d3b0>, <kernel.DependentProduct object at 0x141d200>) of role type named sy_c_NthRoot_Oroot
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring root:(nat->(real->real))
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141d2d8>, <kernel.DependentProduct object at 0x141d680>) of role type named sy_c_NthRoot_Osqrt
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring sqrt:(real->real)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141d5a8>, <kernel.DependentProduct object at 0x141d638>) of role type named sy_c_Num_OBitM
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring bitM:(num->num)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141d488>, <kernel.DependentProduct object at 0x141d710>) of role type named sy_c_Num_Oinc
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring inc:(num->num)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141d5a8>, <kernel.DependentProduct object at 0x141d758>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141d710>, <kernel.DependentProduct object at 0x141d7e8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141d200>, <kernel.DependentProduct object at 0x141d878>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring neg_numeral_dbl_int:(int->int)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141d2d8>, <kernel.DependentProduct object at 0x141d8c0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141d7a0>, <kernel.DependentProduct object at 0x141d908>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring neg_numeral_dbl_real:(real->real)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141d2d8>, <kernel.DependentProduct object at 0x141d950>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141d908>, <kernel.DependentProduct object at 0x141d9e0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141d950>, <kernel.DependentProduct object at 0x141da70>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141d9e0>, <kernel.DependentProduct object at 0x141db00>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141da70>, <kernel.DependentProduct object at 0x141db90>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141db00>, <kernel.DependentProduct object at 0x141dc20>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Code____Numeral__Ointeger
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring neg_nu5831290666863070958nteger:(code_integer->code_integer)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141db90>, <kernel.DependentProduct object at 0x141dcb0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Complex__Ocomplex
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring neg_nu8557863876264182079omplex:(complex->complex)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141dc20>, <kernel.DependentProduct object at 0x141dd40>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Int__Oint
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring neg_nu5851722552734809277nc_int:(int->int)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141dcb0>, <kernel.DependentProduct object at 0x141ddd0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Rat__Orat
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring neg_nu5219082963157363817nc_rat:(rat->rat)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141dd40>, <kernel.DependentProduct object at 0x141de60>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Real__Oreal
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring neg_nu8295874005876285629c_real:(real->real)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141d7e8>, <kernel.DependentProduct object at 0x141ddd0>) of role type named sy_c_Num_Oneg__numeral__class_Osub_001t__Int__Oint
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring neg_numeral_sub_int:(num->(num->int))
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141def0>, <kernel.DependentProduct object at 0x141df38>) of role type named sy_c_Num_Onum_OBit0
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring bit0:(num->num)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141de18>, <kernel.DependentProduct object at 0x141dd88>) of role type named sy_c_Num_Onum_OBit1
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring bit1:(num->num)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141de60>, <kernel.Constant object at 0x141dd88>) of role type named sy_c_Num_Onum_OOne
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring one:num
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141df38>, <kernel.DependentProduct object at 0x141f050>) of role type named sy_c_Num_Onum_Osize__num
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring size_num:(num->nat)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141ddd0>, <kernel.DependentProduct object at 0x141f098>) of role type named sy_c_Num_Onum__of__nat
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring num_of_nat:(nat->num)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141df38>, <kernel.DependentProduct object at 0x141f0e0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141dfc8>, <kernel.DependentProduct object at 0x141f170>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring numera6690914467698888265omplex:(num->complex)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141dfc8>, <kernel.DependentProduct object at 0x141f200>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141de60>, <kernel.DependentProduct object at 0x141f290>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring numeral_numeral_int:(num->int)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141dfc8>, <kernel.DependentProduct object at 0x141f2d8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring numeral_numeral_nat:(num->nat)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141dd88>, <kernel.DependentProduct object at 0x141f320>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring numeral_numeral_rat:(num->rat)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141dd88>, <kernel.DependentProduct object at 0x141f368>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring numeral_numeral_real:(num->real)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141f098>, <kernel.DependentProduct object at 0x141f170>) of role type named sy_c_Num_Opow
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring pow:(num->(num->num))
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141f3b0>, <kernel.DependentProduct object at 0x141f3f8>) of role type named sy_c_Num_Opred__numeral
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring pred_numeral:(num->nat)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141f320>, <kernel.DependentProduct object at 0x141f2d8>) of role type named sy_c_Num_Osqr
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring sqr:(num->num)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141f368>, <kernel.Constant object at 0x141f2d8>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring none_num:option_num
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141f320>, <kernel.Constant object at 0x141f3f8>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141f098>, <kernel.DependentProduct object at 0x141f560>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring some_num:(num->option_num)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141f320>, <kernel.DependentProduct object at 0x141f098>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141f560>, <kernel.DependentProduct object at 0x141f638>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141f680>, <kernel.DependentProduct object at 0x141f200>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141f560>, <kernel.DependentProduct object at 0x141f518>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141f098>, <kernel.DependentProduct object at 0x141f200>) of role type named sy_c_Order__Relation_OunderS_001t__Nat__Onat
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring order_underS_nat:(set_Pr1261947904930325089at_nat->(nat->set_nat))
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141f560>, <kernel.DependentProduct object at 0x141f830>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Code____Numeral__Ointeger_M_062_I_Eo_M_Eo_J_J
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring bot_bo4731626569425807221er_o_o:(code_integer->(Prop->Prop))
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141f200>, <kernel.DependentProduct object at 0x141f560>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Code____Numeral__Ointeger_M_062_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring bot_bo8134993004553108152eger_o:(code_integer->(code_integer->Prop))
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141f7e8>, <kernel.DependentProduct object at 0x141f830>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring bot_bot_int_int_o:(int->(int->Prop))
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141f8c0>, <kernel.DependentProduct object at 0x141f950>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Int__Oint_M_Eo_J
% 0.53/0.69 Using role type
% 0.53/0.69 Declaring bot_bot_int_o:(int->Prop)
% 0.53/0.69 FOF formula (<kernel.Constant object at 0x141f200>, <kernel.DependentProduct object at 0x141f908>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bot_list_nat_o:(list_nat->Prop)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141f7e8>, <kernel.DependentProduct object at 0x141f8c0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bot_nat_nat_o:(nat->(nat->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141f098>, <kernel.DependentProduct object at 0x141fa28>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_Eo_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bot_nat_o:(nat->Prop)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141f200>, <kernel.DependentProduct object at 0x141f9e0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Real__Oreal_M_Eo_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bot_real_o:(real->Prop)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141f7e8>, <kernel.DependentProduct object at 0x141fa70>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bot_set_nat_o:(set_nat->Prop)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141f200>, <kernel.DependentProduct object at 0x141f7e8>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__VEBT____Definitions__OVEBT_M_062_It__Nat__Onat_M_Eo_J_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bo1565574316222977092_nat_o:(vEBT_VEBT->(nat->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141f830>, <kernel.DependentProduct object at 0x141fb00>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bot_VEBT_VEBT_o:(vEBT_VEBT->Prop)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141f200>, <kernel.Constant object at 0x141f098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Extended____Nat__Oenat
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bo4199563552545308370d_enat:extended_enat
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141f7e8>, <kernel.Constant object at 0x141f098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bot_filter_nat:filter_nat
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141fb90>, <kernel.Constant object at 0x141f098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bot_nat:nat
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141fbd8>, <kernel.Constant object at 0x141f098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bot_set_complex:set_complex
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141fc20>, <kernel.Constant object at 0x141f098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bot_set_int:set_int
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141fc68>, <kernel.Constant object at 0x141f098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bot_set_list_nat:set_list_nat
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141fcb0>, <kernel.Constant object at 0x141f098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bot_set_nat:set_nat
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141fcf8>, <kernel.Constant object at 0x141f098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Num__Onum_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bot_set_num:set_num
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141fcb0>, <kernel.Constant object at 0x141fd40>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bo5379713665208646970eger_o:set_Pr448751882837621926eger_o
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141f098>, <kernel.Constant object at 0x141fdd0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bo4276436098303576167nteger:set_Pr4811707699266497531nteger
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141fd40>, <kernel.Constant object at 0x141fe60>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bo1796632182523588997nt_int:set_Pr958786334691620121nt_int
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141fdd0>, <kernel.Constant object at 0x141fef0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bo2099793752762293965at_nat:set_Pr1261947904930325089at_nat
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141fe60>, <kernel.Constant object at 0x141ff80>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bo1642239108664514429BT_nat:set_Pr7556676689462069481BT_nat
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141ff38>, <kernel.Constant object at 0x141ffc8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Rat__Orat_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bot_set_rat:set_rat
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141fef0>, <kernel.Constant object at 0x1421050>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bot_set_real:set_real
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141ff38>, <kernel.Constant object at 0x14210e0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bot_set_set_int:set_set_int
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141fef0>, <kernel.Constant object at 0x14210e0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bot_set_set_nat:set_set_nat
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1421170>, <kernel.Constant object at 0x1421050>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bot_bo8194388402131092736T_VEBT:set_VEBT_VEBT
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x141ff38>, <kernel.DependentProduct object at 0x1421320>) of role type named sy_c_Orderings_Oord__class_OLeast_001t__Nat__Onat
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_Least_nat:((nat->Prop)->nat)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1421128>, <kernel.DependentProduct object at 0x14213b0>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Int__Oint_M_Eo_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_less_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1421320>, <kernel.DependentProduct object at 0x14213f8>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Nat__Onat_M_Eo_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_less_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x14213b0>, <kernel.DependentProduct object at 0x1421440>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Real__Oreal_M_Eo_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_less_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x14213f8>, <kernel.DependentProduct object at 0x1421488>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_less_set_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1421440>, <kernel.DependentProduct object at 0x14214d0>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_less_VEBT_VEBT_o:((vEBT_VEBT->Prop)->((vEBT_VEBT->Prop)->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x14213f8>, <kernel.DependentProduct object at 0x1421440>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x14214d0>, <kernel.DependentProduct object at 0x14213f8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1421518>, <kernel.DependentProduct object at 0x1421440>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_less_filter_nat:(filter_nat->(filter_nat->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x14215a8>, <kernel.DependentProduct object at 0x14214d0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_less_int:(int->(int->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1421488>, <kernel.DependentProduct object at 0x1421518>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x14211b8>, <kernel.DependentProduct object at 0x14215a8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_less_num:(num->(num->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x14213f8>, <kernel.DependentProduct object at 0x1421488>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1421440>, <kernel.DependentProduct object at 0x14211b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_less_real:(real->(real->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x14214d0>, <kernel.DependentProduct object at 0x14213f8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1421518>, <kernel.DependentProduct object at 0x1421440>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x14215a8>, <kernel.DependentProduct object at 0x14214d0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1421488>, <kernel.DependentProduct object at 0x1421518>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x14211b8>, <kernel.DependentProduct object at 0x14215a8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x14213f8>, <kernel.DependentProduct object at 0x1421488>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1421440>, <kernel.DependentProduct object at 0x14211b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_less_set_set_int:(set_set_int->(set_set_int->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x14214d0>, <kernel.DependentProduct object at 0x14213f8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_less_set_set_nat:(set_set_nat->(set_set_nat->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1421440>, <kernel.DependentProduct object at 0x14214d0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring ord_le3480810397992357184T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x14215a8>, <kernel.DependentProduct object at 0x1421ab8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_Eo_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_less_eq_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x14214d0>, <kernel.DependentProduct object at 0x1421b00>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_Eo_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_less_eq_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1421ab8>, <kernel.DependentProduct object at 0x1421b48>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Real__Oreal_M_Eo_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_less_eq_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x14214d0>, <kernel.DependentProduct object at 0x1421b90>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_le3964352015994296041_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1421b48>, <kernel.DependentProduct object at 0x1421c20>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_le418104280809901481VEBT_o:((vEBT_VEBT->Prop)->((vEBT_VEBT->Prop)->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1421b90>, <kernel.DependentProduct object at 0x1421b48>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1421c20>, <kernel.DependentProduct object at 0x1421b90>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1421b48>, <kernel.DependentProduct object at 0x1421c20>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_le2510731241096832064er_nat:(filter_nat->(filter_nat->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1421d40>, <kernel.DependentProduct object at 0x1421b90>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1421dd0>, <kernel.DependentProduct object at 0x1421b48>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1421bd8>, <kernel.DependentProduct object at 0x1421d40>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1421cb0>, <kernel.DependentProduct object at 0x1421dd0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1421c20>, <kernel.DependentProduct object at 0x1421bd8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1421b90>, <kernel.DependentProduct object at 0x1421cb0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_Eo_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_less_eq_set_o:(set_o->(set_o->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1421c20>, <kernel.DependentProduct object at 0x1421b90>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1421d40>, <kernel.DependentProduct object at 0x1424050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1421c20>, <kernel.DependentProduct object at 0x14240e0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_le6045566169113846134st_nat:(set_list_nat->(set_list_nat->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1421b90>, <kernel.DependentProduct object at 0x1424098>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1421b48>, <kernel.DependentProduct object at 0x14241b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Num__Onum_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_less_eq_set_num:(set_num->(set_num->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1421c20>, <kernel.DependentProduct object at 0x1424200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Rat__Orat_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_less_eq_set_rat:(set_rat->(set_rat->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1421b48>, <kernel.DependentProduct object at 0x1424050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x14241b8>, <kernel.DependentProduct object at 0x1424290>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_le4403425263959731960et_int:(set_set_int->(set_set_int->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424248>, <kernel.DependentProduct object at 0x1424170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_le6893508408891458716et_nat:(set_set_nat->(set_set_nat->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424128>, <kernel.DependentProduct object at 0x1424248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424368>, <kernel.DependentProduct object at 0x1424170>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Code____Numeral__Ointeger
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_max_Code_integer:(code_integer->(code_integer->code_integer))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424128>, <kernel.DependentProduct object at 0x1424368>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Extended____Nat__Oenat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_ma741700101516333627d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424488>, <kernel.DependentProduct object at 0x1424170>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_max_filter_nat:(filter_nat->(filter_nat->filter_nat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424440>, <kernel.DependentProduct object at 0x1424128>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_max_int:(int->(int->int))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424560>, <kernel.DependentProduct object at 0x1424488>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_max_nat:(nat->(nat->nat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x14243b0>, <kernel.DependentProduct object at 0x1424440>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Num__Onum
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_max_num:(num->(num->num))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x14243f8>, <kernel.DependentProduct object at 0x1424560>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Rat__Orat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_max_rat:(rat->(rat->rat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424368>, <kernel.DependentProduct object at 0x14243b0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Real__Oreal
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_max_real:(real->(real->real))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424170>, <kernel.DependentProduct object at 0x14243f8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Int__Oint_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_max_set_int:(set_int->(set_int->set_int))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424128>, <kernel.DependentProduct object at 0x1424368>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_max_set_nat:(set_nat->(set_nat->set_nat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424488>, <kernel.DependentProduct object at 0x1424170>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Real__Oreal_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_max_set_real:(set_real->(set_real->set_real))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424440>, <kernel.DependentProduct object at 0x1424128>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_min_int:(int->(int->int))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424560>, <kernel.DependentProduct object at 0x1424488>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring ord_min_nat:(nat->(nat->nat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x14243b0>, <kernel.DependentProduct object at 0x14243f8>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring order_Greatest_nat:((nat->Prop)->nat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424170>, <kernel.DependentProduct object at 0x1424440>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x14243b0>, <kernel.DependentProduct object at 0x1424560>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring order_5726023648592871131at_nat:((nat->nat)->Prop)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424440>, <kernel.DependentProduct object at 0x1424908>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Real__Oreal_001t__Real__Oreal
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring order_7092887310737990675l_real:((real->real)->Prop)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424128>, <kernel.Constant object at 0x1424908>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Int__Oint_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring top_top_set_int:set_int
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424368>, <kernel.Constant object at 0x1424908>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring top_top_set_nat:set_nat
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424128>, <kernel.Constant object at 0x1424878>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Ounit_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring top_to1996260823553986621t_unit:set_Product_unit
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424998>, <kernel.Constant object at 0x1424878>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring top_top_set_real:set_real
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424128>, <kernel.DependentProduct object at 0x1424998>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424b48>, <kernel.DependentProduct object at 0x1424878>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring power_power_complex:(complex->(nat->complex))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1424128>, <kernel.DependentProduct object at 0x1424b48>) of role type named sy_c_Power_Opower__class_Opower_001t__Extended____Nat__Oenat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring power_8040749407984259932d_enat:(extended_enat->(nat->extended_enat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1424c20>, <kernel.DependentProduct object at 0x1424878>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring power_power_int:(int->(nat->int))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1424a28>, <kernel.DependentProduct object at 0x1424128>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring power_power_nat:(nat->(nat->nat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1424cf8>, <kernel.DependentProduct object at 0x1424c20>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring power_power_rat:(rat->(nat->rat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1424998>, <kernel.DependentProduct object at 0x1424a28>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring power_power_real:(real->(nat->real))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1424cf8>, <kernel.DependentProduct object at 0x1424128>) 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
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc3209952032786966637at_nat:((nat->(nat->nat))->(produc7248412053542808358at_nat->produc4471711990508489141at_nat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1424878>, <kernel.DependentProduct object at 0x1424bd8>) of role type named sy_c_Product__Type_OPair_001_Eo_001_Eo
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring product_Pair_o_o:(Prop->(Prop->product_prod_o_o))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1424cb0>, <kernel.DependentProduct object at 0x1424bd8>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring product_Pair_o_int:(Prop->(int->product_prod_o_int))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1424128>, <kernel.DependentProduct object at 0x1424bd8>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring product_Pair_o_nat:(Prop->(nat->product_prod_o_nat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1424cb0>, <kernel.DependentProduct object at 0x1424c20>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc2982872950893828659T_VEBT:(Prop->(vEBT_VEBT->produc2504756804600209347T_VEBT))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1424bd8>, <kernel.DependentProduct object at 0x1424cb0>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1424c20>, <kernel.DependentProduct object at 0x1427050>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1424fc8>, <kernel.DependentProduct object at 0x1424cf8>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1424cb0>, <kernel.DependentProduct object at 0x14271b8>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1424cb0>, <kernel.DependentProduct object at 0x1427200>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc487386426758144856at_nat:(nat->(product_prod_nat_nat->produc7248412053542808358at_nat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1424878>, <kernel.DependentProduct object at 0x1427290>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1427128>, <kernel.DependentProduct object at 0x1427248>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc736041933913180425BT_int:(vEBT_VEBT->(int->produc4894624898956917775BT_int))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1427320>, <kernel.DependentProduct object at 0x1427368>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1427098>, <kernel.DependentProduct object at 0x14273f8>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x14273b0>, <kernel.DependentProduct object at 0x1427518>) of role type named sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc457027306803732586at_nat:(set_nat->((nat->set_nat)->set_Pr1261947904930325089at_nat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x14273f8>, <kernel.DependentProduct object at 0x1427128>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1427518>, <kernel.DependentProduct object at 0x14272d8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1427128>, <kernel.DependentProduct object at 0x14275a8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x14272d8>, <kernel.DependentProduct object at 0x1427320>) 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
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x14275a8>, <kernel.DependentProduct object at 0x1427560>) 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
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1427320>, <kernel.DependentProduct object at 0x14274d0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Complex__Ocomplex_001t__Complex__Ocomplex_001_Eo
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc6771430404735790350plex_o:((complex->(complex->Prop))->(produc4411394909380815293omplex->Prop))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1427560>, <kernel.DependentProduct object at 0x14277a0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x14274d0>, <kernel.DependentProduct object at 0x1427908>) 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
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x14277a0>, <kernel.DependentProduct object at 0x14279e0>) 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
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc8739625826339149834_nat_o:((nat->(nat->(product_prod_nat_nat->Prop)))->(product_prod_nat_nat->(product_prod_nat_nat->Prop)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1427908>, <kernel.DependentProduct object at 0x1427a70>) 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
% 0.53/0.72 Using role type
% 0.53/0.72 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)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x14279e0>, <kernel.DependentProduct object at 0x1427440>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1427a70>, <kernel.DependentProduct object at 0x1427710>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc1830744345554046123nteger:((nat->(nat->code_integer))->(product_prod_nat_nat->code_integer))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1427440>, <kernel.DependentProduct object at 0x1427b00>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc1917071388513777916omplex:((nat->(nat->complex))->(product_prod_nat_nat->complex))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1427710>, <kernel.DependentProduct object at 0x1427b90>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Extended____Nat__Oenat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc2676513652042109336d_enat:((nat->(nat->extended_enat))->(product_prod_nat_nat->extended_enat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1427b00>, <kernel.DependentProduct object at 0x1427c20>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc6840382203811409530at_int:((nat->(nat->int))->(product_prod_nat_nat->int))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1427b90>, <kernel.DependentProduct object at 0x1427cb0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc6842872674320459806at_nat:((nat->(nat->nat))->(product_prod_nat_nat->nat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1427c20>, <kernel.DependentProduct object at 0x1427d40>) 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
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1427cb0>, <kernel.DependentProduct object at 0x1427dd0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Rat__Orat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring produc6207742614233964070at_rat:((nat->(nat->rat))->(product_prod_nat_nat->rat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1427d40>, <kernel.DependentProduct object at 0x1427e60>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring produc1703576794950452218t_real:((nat->(nat->real))->(product_prod_nat_nat->real))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1427dd0>, <kernel.DependentProduct object at 0x1427b48>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Real__Oreal_001t__Real__Oreal_001_Eo
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring produc5414030515140494994real_o:((real->(real->Prop))->(produc2422161461964618553l_real->Prop))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1427fc8>, <kernel.DependentProduct object at 0x1427758>) of role type named sy_c_Rat_OFract
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring fract:(int->(int->rat))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1427dd0>, <kernel.Constant object at 0x1427f80>) of role type named sy_c_Rat_Ofield__char__0__class_ORats_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring field_5140801741446780682s_real:set_real
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1427f38>, <kernel.DependentProduct object at 0x1439170>) of role type named sy_c_Rat_Onormalize
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1427dd0>, <kernel.DependentProduct object at 0x14390e0>) of role type named sy_c_Rat_Opositive
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring positive:(rat->Prop)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1427f38>, <kernel.DependentProduct object at 0x1439200>) of role type named sy_c_Rat_Oquotient__of
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring quotient_of:(rat->product_prod_int_int)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1427b48>, <kernel.DependentProduct object at 0x1439128>) of role type named sy_c_Real_OReal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring real2:((nat->rat)->real)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1427dd0>, <kernel.DependentProduct object at 0x1439200>) of role type named sy_c_Real_Ocauchy
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring cauchy:((nat->rat)->Prop)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1427dd0>, <kernel.DependentProduct object at 0x14390e0>) of role type named sy_c_Real_Opositive
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring positive2:(real->Prop)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439170>, <kernel.DependentProduct object at 0x1439050>) of role type named sy_c_Real_Orep__real
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring rep_real:(real->(nat->rat))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439320>, <kernel.DependentProduct object at 0x14393b0>) of role type named sy_c_Real_Ovanishes
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring vanishes:((nat->rat)->Prop)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439170>, <kernel.DependentProduct object at 0x1439320>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Complex__Ocomplex
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring real_V3694042436643373181omplex:(complex->(complex->real))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x14393b0>, <kernel.DependentProduct object at 0x1439170>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring real_V975177566351809787t_real:(real->(real->real))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439320>, <kernel.DependentProduct object at 0x1439290>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439170>, <kernel.DependentProduct object at 0x1439560>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring real_V7735802525324610683m_real:(real->real)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439290>, <kernel.DependentProduct object at 0x14395f0>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439200>, <kernel.DependentProduct object at 0x1439680>) of role type named sy_c_Relation_OField_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring field_nat:(set_Pr1261947904930325089at_nat->set_nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439290>, <kernel.DependentProduct object at 0x1439200>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439680>, <kernel.DependentProduct object at 0x1439290>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x14395a8>, <kernel.DependentProduct object at 0x1439200>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring divide_divide_int:(int->(int->int))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x14396c8>, <kernel.DependentProduct object at 0x1439680>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439830>, <kernel.DependentProduct object at 0x14395a8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439638>, <kernel.DependentProduct object at 0x14396c8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring divide_divide_real:(real->(real->real))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439758>, <kernel.DependentProduct object at 0x1439830>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x14397e8>, <kernel.DependentProduct object at 0x1439638>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439680>, <kernel.DependentProduct object at 0x1439758>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x14395a8>, <kernel.DependentProduct object at 0x14397e8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x14396c8>, <kernel.DependentProduct object at 0x1439680>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439830>, <kernel.DependentProduct object at 0x14395a8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x14396c8>, <kernel.DependentProduct object at 0x1439830>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439290>, <kernel.DependentProduct object at 0x14395a8>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring modulo_modulo_int:(int->(int->int))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439638>, <kernel.DependentProduct object at 0x14396c8>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439290>, <kernel.DependentProduct object at 0x1439c20>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x14396c8>, <kernel.DependentProduct object at 0x1439758>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439c20>, <kernel.DependentProduct object at 0x1439cb0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439758>, <kernel.DependentProduct object at 0x1439d40>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439cb0>, <kernel.DependentProduct object at 0x1439dd0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439d40>, <kernel.DependentProduct object at 0x1439e60>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1439cb0>, <kernel.DependentProduct object at 0x1439dd0>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring suminf_complex:((nat->complex)->complex)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x14391b8>, <kernel.DependentProduct object at 0x1439cb0>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring suminf_int:((nat->int)->int)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1439ea8>, <kernel.DependentProduct object at 0x1439dd0>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring suminf_nat:((nat->nat)->nat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1439f80>, <kernel.DependentProduct object at 0x1439d40>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring suminf_real:((nat->real)->real)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1439f38>, <kernel.DependentProduct object at 0x14391b8>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring summable_complex:((nat->complex)->Prop)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1439fc8>, <kernel.DependentProduct object at 0x143b098>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring summable_int:((nat->int)->Prop)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1439ef0>, <kernel.DependentProduct object at 0x143b098>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring summable_nat:((nat->nat)->Prop)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1439f80>, <kernel.DependentProduct object at 0x143b128>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring summable_real:((nat->real)->Prop)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1439fc8>, <kernel.DependentProduct object at 0x143b128>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1439d40>, <kernel.DependentProduct object at 0x143b1b8>) of role type named sy_c_Series_Osums_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring sums_int:((nat->int)->(int->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1439f80>, <kernel.DependentProduct object at 0x143b098>) of role type named sy_c_Series_Osums_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring sums_nat:((nat->nat)->(nat->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1439f80>, <kernel.DependentProduct object at 0x143b248>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring sums_real:((nat->real)->(real->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1439f80>, <kernel.DependentProduct object at 0x143b320>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b2d8>, <kernel.DependentProduct object at 0x143b368>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring collect_int:((int->Prop)->set_int)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b200>, <kernel.DependentProduct object at 0x143b1b8>) of role type named sy_c_Set_OCollect_001t__List__Olist_I_Eo_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring collect_list_o:((list_o->Prop)->set_list_o)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b368>, <kernel.DependentProduct object at 0x143b3b0>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Complex__Ocomplex_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring collect_list_complex:((list_complex->Prop)->set_list_complex)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b128>, <kernel.DependentProduct object at 0x143b3f8>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Int__Oint_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring collect_list_int:((list_int->Prop)->set_list_int)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b290>, <kernel.DependentProduct object at 0x143b440>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b128>, <kernel.DependentProduct object at 0x143b488>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring collec5608196760682091941T_VEBT:((list_VEBT_VEBT->Prop)->set_list_VEBT_VEBT)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b248>, <kernel.DependentProduct object at 0x143b560>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b098>, <kernel.DependentProduct object at 0x143b5a8>) of role type named sy_c_Set_OCollect_001t__Num__Onum
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring collect_num:((num->Prop)->set_num)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b440>, <kernel.DependentProduct object at 0x143b248>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring collec8663557070575231912omplex:((produc4411394909380815293omplex->Prop)->set_Pr5085853215250843933omplex)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b098>, <kernel.DependentProduct object at 0x143b440>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b248>, <kernel.DependentProduct object at 0x143b098>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring collec3392354462482085612at_nat:((product_prod_nat_nat->Prop)->set_Pr1261947904930325089at_nat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b440>, <kernel.DependentProduct object at 0x143b248>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring collec3799799289383736868l_real:((produc2422161461964618553l_real->Prop)->set_Pr6218003697084177305l_real)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b050>, <kernel.DependentProduct object at 0x143b830>) of role type named sy_c_Set_OCollect_001t__Rat__Orat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring collect_rat:((rat->Prop)->set_rat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b128>, <kernel.DependentProduct object at 0x143b878>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring collect_real:((real->Prop)->set_real)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b518>, <kernel.DependentProduct object at 0x143b248>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring collect_set_complex:((set_complex->Prop)->set_set_complex)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b878>, <kernel.DependentProduct object at 0x143b8c0>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Int__Oint_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring collect_set_int:((set_int->Prop)->set_set_int)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b7e8>, <kernel.DependentProduct object at 0x143b908>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring collect_set_nat:((set_nat->Prop)->set_set_nat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b7a0>, <kernel.DependentProduct object at 0x143b950>) of role type named sy_c_Set_OCollect_001t__VEBT____Definitions__OVEBT
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring collect_VEBT_VEBT:((vEBT_VEBT->Prop)->set_VEBT_VEBT)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b758>, <kernel.DependentProduct object at 0x143b9e0>) of role type named sy_c_Set_OPow_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring pow_nat:(set_nat->set_set_nat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b518>, <kernel.DependentProduct object at 0x143b9e0>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b7e8>, <kernel.DependentProduct object at 0x143b440>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring image_int_nat:((int->nat)->(set_int->set_nat))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b950>, <kernel.DependentProduct object at 0x143b7a0>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring image_nat_int:((nat->int)->(set_nat->set_int))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b518>, <kernel.DependentProduct object at 0x143ba28>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b7e8>, <kernel.DependentProduct object at 0x143b050>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring image_nat_set_nat:((nat->set_nat)->(set_nat->set_set_nat))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b518>, <kernel.DependentProduct object at 0x143b950>) 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
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring image_5971271580939081552omplex:((real->filter6041513312241820739omplex)->(set_real->set_fi4554929511873752355omplex))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b050>, <kernel.DependentProduct object at 0x143b7a0>) 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
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring image_2178119161166701260l_real:((real->filter2146258269922977983l_real)->(set_real->set_fi7789364187291644575l_real))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143bc20>, <kernel.DependentProduct object at 0x143b758>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b950>, <kernel.DependentProduct object at 0x143b050>) of role type named sy_c_Set_Oinsert_001t__Complex__Ocomplex
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring insert_complex:(complex->(set_complex->set_complex))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b098>, <kernel.DependentProduct object at 0x143b950>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring insert_int:(int->(set_int->set_int))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b9e0>, <kernel.DependentProduct object at 0x143bc20>) of role type named sy_c_Set_Oinsert_001t__List__Olist_It__Nat__Onat_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring insert_list_nat:(list_nat->(set_list_nat->set_list_nat))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143bcb0>, <kernel.DependentProduct object at 0x143b9e0>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143bdd0>, <kernel.DependentProduct object at 0x143bc20>) of role type named sy_c_Set_Oinsert_001t__Num__Onum
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring insert_num:(num->(set_num->set_num))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143b950>, <kernel.DependentProduct object at 0x143bcb0>) of role type named sy_c_Set_Oinsert_001t__Rat__Orat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring insert_rat:(rat->(set_rat->set_rat))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x143be18>, <kernel.DependentProduct object at 0x143bdd0>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring insert_real:(real->(set_real->set_real))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143bb90>, <kernel.DependentProduct object at 0x143b050>) of role type named sy_c_Set_Oinsert_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring insert_set_nat:(set_nat->(set_set_nat->set_set_nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143bf38>, <kernel.DependentProduct object at 0x143b950>) of role type named sy_c_Set_Oinsert_001t__VEBT____Definitions__OVEBT
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring insert_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143b7a0>, <kernel.DependentProduct object at 0x143be18>) of role type named sy_c_Set_Ovimage_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring vimage_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143bf38>, <kernel.DependentProduct object at 0x143bc20>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Complex__Ocomplex
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_fo1517530859248394432omplex:((nat->(complex->complex))->(nat->(nat->(complex->complex))))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143be18>, <kernel.DependentProduct object at 0x143bdd0>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Int__Oint
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_fo2581907887559384638at_int:((nat->(int->int))->(nat->(nat->(int->int))))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143bc20>, <kernel.DependentProduct object at 0x143e170>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143bdd0>, <kernel.DependentProduct object at 0x143e098>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Rat__Orat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_fo1949268297981939178at_rat:((nat->(rat->rat))->(nat->(nat->(rat->rat))))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143bdd0>, <kernel.DependentProduct object at 0x143e1b8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Real__Oreal
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_fo3111899725591712190t_real:((nat->(real->real))->(nat->(nat->(real->real))))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143bdd0>, <kernel.DependentProduct object at 0x143e290>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e248>, <kernel.DependentProduct object at 0x143e0e0>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e200>, <kernel.DependentProduct object at 0x143e368>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e2d8>, <kernel.DependentProduct object at 0x143e3f8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e098>, <kernel.DependentProduct object at 0x143e2d8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e3f8>, <kernel.DependentProduct object at 0x143e098>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Int__Oint_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_or370866239135849197et_int:(set_int->(set_int->set_set_int))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e2d8>, <kernel.DependentProduct object at 0x143e3f8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_or4548717258645045905et_nat:(set_nat->(set_nat->set_set_nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e098>, <kernel.DependentProduct object at 0x143e2d8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e3f8>, <kernel.DependentProduct object at 0x143e098>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e200>, <kernel.DependentProduct object at 0x143e248>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e680>, <kernel.DependentProduct object at 0x143e7e8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Int__Oint
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_ord_atMost_int:(int->set_int)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e710>, <kernel.DependentProduct object at 0x143e830>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e098>, <kernel.DependentProduct object at 0x143e878>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Num__Onum
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_ord_atMost_num:(num->set_num)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e248>, <kernel.DependentProduct object at 0x143e8c0>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Rat__Orat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_ord_atMost_rat:(rat->set_rat)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e7e8>, <kernel.DependentProduct object at 0x143e908>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Real__Oreal
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_ord_atMost_real:(real->set_real)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e248>, <kernel.DependentProduct object at 0x143e950>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Set__Oset_It__Int__Oint_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_or58775011639299419et_int:(set_int->set_set_int)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e908>, <kernel.DependentProduct object at 0x143e9e0>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_or4236626031148496127et_nat:(set_nat->set_set_nat)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e950>, <kernel.DependentProduct object at 0x143e908>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e9e0>, <kernel.DependentProduct object at 0x143e950>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e908>, <kernel.DependentProduct object at 0x143e9e0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e950>, <kernel.DependentProduct object at 0x143e908>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e9e0>, <kernel.DependentProduct object at 0x143e950>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x143e908>, <kernel.DependentProduct object at 0x143e830>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.60/0.75 Using role type
% 0.60/0.75 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.60/0.75 FOF formula (<kernel.Constant object at 0x143e950>, <kernel.DependentProduct object at 0x143edd0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.60/0.75 Using role type
% 0.60/0.75 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.60/0.75 FOF formula (<kernel.Constant object at 0x143ea70>, <kernel.DependentProduct object at 0x143ee60>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Int__Oint
% 0.60/0.75 Using role type
% 0.60/0.75 Declaring set_ord_lessThan_int:(int->set_int)
% 0.60/0.75 FOF formula (<kernel.Constant object at 0x143ecf8>, <kernel.DependentProduct object at 0x143eea8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.60/0.75 Using role type
% 0.60/0.75 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.60/0.75 FOF formula (<kernel.Constant object at 0x143ed88>, <kernel.DependentProduct object at 0x143eef0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Num__Onum
% 0.60/0.75 Using role type
% 0.60/0.75 Declaring set_ord_lessThan_num:(num->set_num)
% 0.60/0.75 FOF formula (<kernel.Constant object at 0x143edd0>, <kernel.DependentProduct object at 0x143ef38>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Rat__Orat
% 0.60/0.75 Using role type
% 0.60/0.75 Declaring set_ord_lessThan_rat:(rat->set_rat)
% 0.60/0.75 FOF formula (<kernel.Constant object at 0x143ed88>, <kernel.DependentProduct object at 0x143ef80>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.60/0.75 Using role type
% 0.60/0.75 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.60/0.75 FOF formula (<kernel.Constant object at 0x143ef38>, <kernel.DependentProduct object at 0x1441050>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.75 Using role type
% 0.60/0.75 Declaring set_or890127255671739683et_nat:(set_nat->set_set_nat)
% 0.60/0.75 FOF formula (<kernel.Constant object at 0x143ef80>, <kernel.DependentProduct object at 0x1441170>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.60/0.75 Using role type
% 0.60/0.75 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.60/0.75 FOF formula (<kernel.Constant object at 0x143ecf8>, <kernel.DependentProduct object at 0x1441200>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Real__Oreal_001t__Real__Oreal
% 0.60/0.75 Using role type
% 0.60/0.75 Declaring topolo5044208981011980120l_real:(set_real->((real->real)->Prop))
% 0.60/0.75 FOF formula (<kernel.Constant object at 0x143ecf8>, <kernel.DependentProduct object at 0x1441200>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Int__Oint
% 0.60/0.75 Using role type
% 0.60/0.75 Declaring topolo4899668324122417113eq_int:((nat->int)->Prop)
% 0.60/0.75 FOF formula (<kernel.Constant object at 0x143efc8>, <kernel.DependentProduct object at 0x1441200>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Nat__Onat
% 0.60/0.75 Using role type
% 0.60/0.75 Declaring topolo4902158794631467389eq_nat:((nat->nat)->Prop)
% 0.60/0.75 FOF formula (<kernel.Constant object at 0x1441290>, <kernel.DependentProduct object at 0x1441200>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Num__Onum
% 0.60/0.75 Using role type
% 0.60/0.75 Declaring topolo1459490580787246023eq_num:((nat->num)->Prop)
% 0.60/0.75 FOF formula (<kernel.Constant object at 0x1441170>, <kernel.DependentProduct object at 0x1441200>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Rat__Orat
% 0.60/0.75 Using role type
% 0.60/0.75 Declaring topolo4267028734544971653eq_rat:((nat->rat)->Prop)
% 0.60/0.75 FOF formula (<kernel.Constant object at 0x1441320>, <kernel.DependentProduct object at 0x1441200>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.60/0.75 Using role type
% 0.60/0.75 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.60/0.75 FOF formula (<kernel.Constant object at 0x14410e0>, <kernel.DependentProduct object at 0x1441488>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.75 Using role type
% 0.60/0.75 Declaring topolo3100542954746470799et_int:((nat->set_int)->Prop)
% 0.60/0.75 FOF formula (<kernel.Constant object at 0x1441320>, <kernel.DependentProduct object at 0x14410e0>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441488>, <kernel.DependentProduct object at 0x1441290>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x14410e0>, <kernel.DependentProduct object at 0x1441638>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441290>, <kernel.Constant object at 0x1441560>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Complex__Ocomplex
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring topolo896644834953643431omplex:filter6041513312241820739omplex
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441638>, <kernel.Constant object at 0x1441488>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring topolo1511823702728130853y_real:filter2146258269922977983l_real
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441710>, <kernel.DependentProduct object at 0x1441830>) of role type named sy_c_Transcendental_Oarccos
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring arccos:(real->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x14416c8>, <kernel.DependentProduct object at 0x1441878>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring arcosh_real:(real->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441758>, <kernel.DependentProduct object at 0x14418c0>) of role type named sy_c_Transcendental_Oarcsin
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring arcsin:(real->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441488>, <kernel.DependentProduct object at 0x1441908>) of role type named sy_c_Transcendental_Oarctan
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring arctan:(real->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441830>, <kernel.DependentProduct object at 0x1441950>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring arsinh_real:(real->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441878>, <kernel.DependentProduct object at 0x1441998>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring artanh_real:(real->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x14418c0>, <kernel.DependentProduct object at 0x14419e0>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring cos_real:(real->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x14413b0>, <kernel.DependentProduct object at 0x1441a70>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring cos_coeff:(nat->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441998>, <kernel.DependentProduct object at 0x14418c0>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring cosh_real:(real->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441a70>, <kernel.DependentProduct object at 0x1441ab8>) of role type named sy_c_Transcendental_Ocot_001t__Complex__Ocomplex
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring cot_complex:(complex->complex)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441488>, <kernel.DependentProduct object at 0x1441b00>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring cot_real:(real->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x14413b0>, <kernel.DependentProduct object at 0x14418c0>) of role type named sy_c_Transcendental_Odiffs_001t__Complex__Ocomplex
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring diffs_complex:((nat->complex)->(nat->complex))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441a70>, <kernel.DependentProduct object at 0x1441ab8>) of role type named sy_c_Transcendental_Odiffs_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring diffs_real:((nat->real)->(nat->real))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441488>, <kernel.DependentProduct object at 0x14419e0>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring exp_real:(real->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441b48>, <kernel.DependentProduct object at 0x1441b00>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring ln_ln_real:(real->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441b90>, <kernel.DependentProduct object at 0x1441488>) of role type named sy_c_Transcendental_Olog
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring log:(real->(real->real))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441c68>, <kernel.Constant object at 0x1441488>) of role type named sy_c_Transcendental_Opi
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring pi:real
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441b00>, <kernel.DependentProduct object at 0x1441b90>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring powr_real:(real->(real->real))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441ab8>, <kernel.DependentProduct object at 0x1441d40>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring sin_real:(real->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441908>, <kernel.DependentProduct object at 0x1441dd0>) of role type named sy_c_Transcendental_Osin__coeff
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring sin_coeff:(nat->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441b90>, <kernel.DependentProduct object at 0x1441ab8>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring sinh_real:(real->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441dd0>, <kernel.DependentProduct object at 0x1441e18>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring tan_real:(real->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441d88>, <kernel.DependentProduct object at 0x1441e60>) of role type named sy_c_Transcendental_Otanh_001t__Complex__Ocomplex
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring tanh_complex:(complex->complex)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441908>, <kernel.DependentProduct object at 0x1441ea8>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring tanh_real:(real->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x14413b0>, <kernel.DependentProduct object at 0x1441ef0>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441ab8>, <kernel.DependentProduct object at 0x1441ea8>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441fc8>, <kernel.DependentProduct object at 0x1441908>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x14413b0>, <kernel.DependentProduct object at 0x1441fc8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441ef0>, <kernel.DependentProduct object at 0x1441ab8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x14413b0>, <kernel.DependentProduct object at 0x1444128>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441fc8>, <kernel.DependentProduct object at 0x1444098>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441ab8>, <kernel.DependentProduct object at 0x1444200>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1441fc8>, <kernel.DependentProduct object at 0x1444200>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x1444170>, <kernel.DependentProduct object at 0x14441b8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x1444248>, <kernel.DependentProduct object at 0x1444050>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x14413b0>, <kernel.DependentProduct object at 0x1444200>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x1444368>, <kernel.DependentProduct object at 0x1444200>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x1444320>, <kernel.DependentProduct object at 0x1444368>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x14443f8>, <kernel.DependentProduct object at 0x1444488>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x1444248>, <kernel.DependentProduct object at 0x1444200>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x1444320>, <kernel.DependentProduct object at 0x1444248>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x1444440>, <kernel.DependentProduct object at 0x1444320>) of role type named sy_c_VEBT__Insert_Ovebt__insert
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring vEBT_vebt_insert:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x14445f0>, <kernel.DependentProduct object at 0x1444440>) of role type named sy_c_VEBT__Insert_Ovebt__insert__rel
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring vEBT_vebt_insert_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x1444518>, <kernel.DependentProduct object at 0x1444248>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x1444488>, <kernel.DependentProduct object at 0x14443f8>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x14445f0>, <kernel.DependentProduct object at 0x1444758>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x14444d0>, <kernel.DependentProduct object at 0x14445f0>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x1444518>, <kernel.DependentProduct object at 0x14444d0>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x14443f8>, <kernel.DependentProduct object at 0x1444200>) of role type named sy_c_Wellfounded_Oaccp_001t__List__Olist_It__Nat__Onat_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring accp_list_nat:((list_nat->(list_nat->Prop))->(list_nat->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x14444d0>, <kernel.DependentProduct object at 0x1444560>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x14443f8>, <kernel.DependentProduct object at 0x1444488>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444560>, <kernel.DependentProduct object at 0x1444758>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x14444d0>, <kernel.DependentProduct object at 0x1444878>) of role type named sy_c_Wellfounded_Owf_001t__Int__Oint
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring wf_int:(set_Pr958786334691620121nt_int->Prop)
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444488>, <kernel.DependentProduct object at 0x1444950>) of role type named sy_c_Wellfounded_Owf_001t__Nat__Onat
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring wf_nat:(set_Pr1261947904930325089at_nat->Prop)
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444440>, <kernel.DependentProduct object at 0x1444a28>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring fChoice_real:((real->Prop)->real)
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x14443f8>, <kernel.DependentProduct object at 0x1444440>) of role type named sy_c_member_001_Eo
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring member_o:(Prop->(set_o->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444560>, <kernel.DependentProduct object at 0x14443f8>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring member_complex:(complex->(set_complex->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444998>, <kernel.DependentProduct object at 0x1444950>) of role type named sy_c_member_001t__Int__Oint
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring member_int:(int->(set_int->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444a28>, <kernel.DependentProduct object at 0x1444440>) of role type named sy_c_member_001t__List__Olist_I_Eo_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring member_list_o:(list_o->(set_list_o->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x14443f8>, <kernel.DependentProduct object at 0x1444998>) of role type named sy_c_member_001t__List__Olist_It__Int__Oint_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring member_list_int:(list_int->(set_list_int->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444488>, <kernel.DependentProduct object at 0x1444a28>) of role type named sy_c_member_001t__List__Olist_It__Nat__Onat_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring member_list_nat:(list_nat->(set_list_nat->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x14443f8>, <kernel.DependentProduct object at 0x1444488>) of role type named sy_c_member_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring member2936631157270082147T_VEBT:(list_VEBT_VEBT->(set_list_VEBT_VEBT->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444950>, <kernel.DependentProduct object at 0x1444a28>) of role type named sy_c_member_001t__Nat__Onat
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring member_nat:(nat->(set_nat->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444c20>, <kernel.DependentProduct object at 0x14443f8>) of role type named sy_c_member_001t__Num__Onum
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring member_num:(num->(set_num->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444950>, <kernel.DependentProduct object at 0x1444488>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring member1379723562493234055eger_o:(produc6271795597528267376eger_o->(set_Pr448751882837621926eger_o->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x14443f8>, <kernel.DependentProduct object at 0x1444560>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring member157494554546826820nteger:(produc8923325533196201883nteger->(set_Pr4811707699266497531nteger->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444488>, <kernel.DependentProduct object at 0x1444dd0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring member5262025264175285858nt_int:(product_prod_int_int->(set_Pr958786334691620121nt_int->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444560>, <kernel.DependentProduct object at 0x1444e60>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring member8440522571783428010at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444dd0>, <kernel.DependentProduct object at 0x1444c20>) of role type named sy_c_member_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring member373505688050248522BT_nat:(produc9072475918466114483BT_nat->(set_Pr7556676689462069481BT_nat->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444488>, <kernel.DependentProduct object at 0x1444e60>) of role type named sy_c_member_001t__Rat__Orat
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring member_rat:(rat->(set_rat->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444878>, <kernel.DependentProduct object at 0x1446050>) of role type named sy_c_member_001t__Real__Oreal
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring member_real:(real->(set_real->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444fc8>, <kernel.DependentProduct object at 0x1446050>) of role type named sy_c_member_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring member_set_int:(set_int->(set_set_int->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444c20>, <kernel.DependentProduct object at 0x1446098>) of role type named sy_c_member_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring member_set_nat:(set_nat->(set_set_nat->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444950>, <kernel.DependentProduct object at 0x1446128>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444878>, <kernel.Constant object at 0x1444ef0>) of role type named sy_v_deg____
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring deg:nat
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444f80>, <kernel.Constant object at 0x1446128>) of role type named sy_v_i____
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring i:nat
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444878>, <kernel.Constant object at 0x1446098>) of role type named sy_v_m____
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring m:nat
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444f80>, <kernel.Constant object at 0x1446098>) of role type named sy_v_ma____
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring ma:nat
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444878>, <kernel.Constant object at 0x1446098>) of role type named sy_v_mi____
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring mi:nat
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1444878>, <kernel.Constant object at 0x1446098>) of role type named sy_v_na____
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring na:nat
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1446200>, <kernel.Constant object at 0x1446098>) of role type named sy_v_summary____
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring summary:vEBT_VEBT
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1446248>, <kernel.Constant object at 0x1446098>) of role type named sy_v_treeList____
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring treeList:list_VEBT_VEBT
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1446290>, <kernel.Constant object at 0x1446098>) of role type named sy_v_xa____
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring xa:nat
% 0.61/0.77 FOF formula (forall (T:vEBT_VEBT), (((vEBT_VEBT_minNull T)->False)->((ex nat) (fun (X_1:nat)=> ((vEBT_V8194947554948674370ptions T) X_1))))) of role axiom named fact_0_not__min__Null__member
% 0.61/0.77 A new axiom: (forall (T:vEBT_VEBT), (((vEBT_VEBT_minNull T)->False)->((ex nat) (fun (X_1:nat)=> ((vEBT_V8194947554948674370ptions T) X_1)))))
% 0.61/0.77 FOF formula ((vEBT_VEBT_minNull ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high mi) na)))->False) of role axiom named fact_1_False
% 0.61/0.77 A new axiom: ((vEBT_VEBT_minNull ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high mi) na)))->False)
% 0.61/0.77 FOF formula ((vEBT_VEBT_minNull ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high mi) na)))->(((eq vEBT_VEBT) ((vEBT_vebt_insert summary) ((vEBT_VEBT_high mi) na))) summary)) of role axiom named fact_2__092_060open_062_Iif_AminNull_A_ItreeList_A_B_Ahigh_Ami_An_J_Athen_Avebt__insert_Asummary_A_Ihigh_Ami_An_J_Aelse_Asummary_J_A_061_Asummary_092_060close_062
% 0.61/0.77 A new axiom: ((vEBT_VEBT_minNull ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high mi) na)))->(((eq vEBT_VEBT) ((vEBT_vebt_insert summary) ((vEBT_VEBT_high mi) na))) summary))
% 0.61/0.77 FOF formula (((eq nat) na) m) of role axiom named fact_3__C8_C
% 0.61/0.77 A new axiom: (((eq nat) na) m)
% 0.61/0.77 FOF formula ((vEBT_invar_vebt (((if_VEBT_VEBT (vEBT_VEBT_minNull ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high mi) na)))) ((vEBT_vebt_insert summary) ((vEBT_VEBT_high mi) na))) summary)) na) of role axiom named fact_4__C12_C
% 0.61/0.77 A new axiom: ((vEBT_invar_vebt (((if_VEBT_VEBT (vEBT_VEBT_minNull ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high mi) na)))) ((vEBT_vebt_insert summary) ((vEBT_VEBT_high mi) na))) summary)) na)
% 0.61/0.77 <<<T_VEBT] :
% 0.61/0.77 ( ( member_VEBT_VEBT @ X @ ( set_VEBT_VEBT2 @ treeList ) )
% 0.61/0.77 => ~ ?>>>!!!<<< [X_12: nat] : ( vEBT_V8194947554948674370ptions @ X @ X_12 ) ) ) ).
% 0.61/0.77
% 0.61/0.77 % "5"
% 0.61/0.77 thf(fact_6_in_>>>
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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, 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',1,126983), LexToken(LPAR,'(',1,126986), name, LexToken(COMMA,',',1,126999), formula_role, LexToken(COMMA,',',1,127005), LexToken(LPAR,'(',1,127011), thf_unitary_formula, thf_pair_connective, thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,127033), thf_variable_list, LexToken(RBRACKET,']',1,127046), LexToken(COLON,':',1,127048), LexToken(LPAR,'(',1,127058), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.61/0.77 Unexpected exception Syntax error at '?':QUESTION
% 0.61/0.77 Traceback (most recent call last):
% 0.61/0.77 File "CASC.py", line 79, in <module>
% 0.61/0.77 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.61/0.77 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.61/0.77 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.61/0.77 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.61/0.77 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.61/0.77 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.61/0.77 tok = self.errorfunc(errtoken)
% 0.61/0.77 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.61/0.77 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.61/0.77 TPTPparser.TPTPParsingError: Syntax error at '?':QUESTION
%------------------------------------------------------------------------------