TSTP Solution File: ITP274^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP274^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 17:47:56 EDT 2022
% Result : Unknown 0.71s 0.92s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ITP274^3 : TPTP v7.6.0. Released v7.6.0.
% 0.12/0.13 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 Computer : n002.cluster.edu
% 0.12/0.34 Model : x86_64 x86_64
% 0.12/0.34 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 RAMPerCPU : 8042.1875MB
% 0.12/0.34 OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % DateTime : Fri Mar 18 15:43:30 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.35 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.19/0.35 Python 2.7.5
% 0.41/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2ae784f55098>, <kernel.Type object at 0x2ae784f55830>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring produc5542196010084753463at_nat:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2ae784f555a8>, <kernel.Type object at 0x2ae784f55560>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring produc5491161045314408544at_nat:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2ae784f554d0>, <kernel.Type object at 0x2ae784f55098>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Num__Onum_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring produc1193250871479095198on_num:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2ae784f55050>, <kernel.Type object at 0x2ae784f55518>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring produc8306885398267862888on_nat:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2ae784f554d0>, <kernel.Type object at 0x2ae784f555a8>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring produc6121120109295599847at_nat:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2ae784f55bd8>, <kernel.Type object at 0x2182f80>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring produc7036089656553540234on_num:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2ae784f55bd8>, <kernel.Type object at 0x2182ef0>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring produc2233624965454879586on_nat:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2ae784f554d0>, <kernel.Type object at 0x2182f38>) 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
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring set_fi4554929511873752355omplex:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2182ea8>, <kernel.Type object at 0x2182dd0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring list_P7413028617227757229T_VEBT:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2182d40>, <kernel.Type object at 0x2182e60>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring produc3447558737645232053on_num:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2182e18>, <kernel.Type object at 0x2182ea8>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring produc4953844613479565601on_nat:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2182c20>, <kernel.Type object at 0x2182b90>) 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
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring set_fi7789364187291644575l_real:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2182e18>, <kernel.Type object at 0x2182d40>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring filter6041513312241820739omplex:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2182b00>, <kernel.Type object at 0x2182c20>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring list_P7037539587688870467BT_nat:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2182a70>, <kernel.Type object at 0x2182e18>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring list_P4547456442757143711BT_int:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x21829e0>, <kernel.Type object at 0x2182b00>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring list_P5647936690300460905T_VEBT:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2182950>, <kernel.Type object at 0x2182a70>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring produc8243902056947475879T_VEBT:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x21828c0>, <kernel.Type object at 0x21829e0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring set_Pr5085853215250843933omplex:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2182830>, <kernel.Type object at 0x2182950>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring produc8923325533196201883nteger:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2182710>, <kernel.Type object at 0x21828c0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring list_P3126845725202233233VEBT_o:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2182680>, <kernel.Type object at 0x2182830>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring list_P7495141550334521929T_VEBT:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x21825f0>, <kernel.Type object at 0x2182710>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring filter2146258269922977983l_real:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2182560>, <kernel.Type object at 0x2182680>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring list_P8526636022914148096eger_o:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x21824d0>, <kernel.Type object at 0x21825f0>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring option4927543243414619207at_nat:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2182440>, <kernel.Type object at 0x2182560>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring set_Pr6218003697084177305l_real:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x21823b0>, <kernel.Type object at 0x21824d0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring list_P3744719386663036955um_num:Type
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2182320>, <kernel.Type object at 0x2182440>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring list_P6011104703257516679at_nat:Type
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2182290>, <kernel.Type object at 0x21823b0>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring produc9072475918466114483BT_nat:Type
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2182200>, <kernel.Type object at 0x2182320>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring produc4894624898956917775BT_int:Type
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2182170>, <kernel.Type object at 0x2182290>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring set_Pr1261947904930325089at_nat:Type
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2182050>, <kernel.Type object at 0x2182200>) of role type named ty_n_t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring produc4411394909380815293omplex:Type
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2182d88>, <kernel.Type object at 0x22c81b8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring list_P7333126701944960589_nat_o:Type
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2182050>, <kernel.Type object at 0x22c8098>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring list_P6285523579766656935_o_nat:Type
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2182050>, <kernel.Type object at 0x2ae784f31f38>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring list_P3795440434834930179_o_int:Type
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x22c8098>, <kernel.Type object at 0x22b69e0>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring set_list_VEBT_VEBT:Type
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2182050>, <kernel.Type object at 0x2182d88>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring produc334124729049499915VEBT_o:Type
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2182200>, <kernel.Type object at 0x2019f38>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring produc2504756804600209347T_VEBT:Type
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2182200>, <kernel.Type object at 0x2019fc8>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring produc6271795597528267376eger_o:Type
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x22b6e18>, <kernel.Type object at 0x2019ef0>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring produc2422161461964618553l_real:Type
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2182200>, <kernel.Type object at 0x2019fc8>) of role type named ty_n_t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring product_prod_num_num:Type
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2182200>, <kernel.Type object at 0x2021638>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring product_prod_nat_num:Type
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x22b6950>, <kernel.Type object at 0x2021638>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring product_prod_nat_nat:Type
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x22b6950>, <kernel.Type object at 0x2021d88>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring product_prod_int_int:Type
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2019c68>, <kernel.Type object at 0x20216c8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring list_P4002435161011370285od_o_o:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2019ef0>, <kernel.Type object at 0x2021d88>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Complex__Ocomplex_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_list_complex:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2019c68>, <kernel.Type object at 0x2021680>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_VEBT_VEBT:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2019cf8>, <kernel.Type object at 0x2021e18>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_list_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2019cf8>, <kernel.Type object at 0x2021ef0>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Int__Oint_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_list_int:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2021998>, <kernel.Type object at 0x2021e18>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring product_prod_o_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2021ef0>, <kernel.Type object at 0x218b2d8>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring product_prod_o_int:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2021e18>, <kernel.Type object at 0x218b2d8>) of role type named ty_n_t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_Code_integer:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2021560>, <kernel.Type object at 0x218b290>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_VEBT_VEBT:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2021998>, <kernel.Type object at 0x218b248>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_set_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2021e18>, <kernel.Type object at 0x218b170>) of role type named ty_n_t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_Code_integer:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2021998>, <kernel.Type object at 0x218b1b8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Ounit_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_Product_unit:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2021560>, <kernel.Type object at 0x218b0e0>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_complex:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2021560>, <kernel.Type object at 0x218b128>) of role type named ty_n_t__Set__Oset_It__List__Olist_I_Eo_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_list_o:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x218b200>, <kernel.Type object at 0x218b050>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring product_prod_o_o:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x218b2d8>, <kernel.Type object at 0x218b098>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_complex:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x218b290>, <kernel.Type object at 0x218b368>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring filter_real:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x218b200>, <kernel.Type object at 0x218b3b0>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring option_num:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x218b2d8>, <kernel.Type object at 0x218b3f8>) of role type named ty_n_t__Option__Ooption_It__Nat__Onat_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring option_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x218b290>, <kernel.Type object at 0x218b440>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring filter_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x218b200>, <kernel.Type object at 0x218b488>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_char:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x218b2d8>, <kernel.Type object at 0x218b4d0>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring list_real:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b248>, <kernel.Type object at 0x218b488>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_real:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b290>, <kernel.Type object at 0x218b560>) of role type named ty_n_t__List__Olist_It__Num__Onum_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring list_num:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b2d8>, <kernel.Type object at 0x218b5f0>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring list_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b440>, <kernel.Type object at 0x218b638>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring list_int:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b248>, <kernel.Type object at 0x218b680>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring vEBT_VEBT:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b290>, <kernel.Type object at 0x218b6c8>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_rat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b2d8>, <kernel.Type object at 0x218b710>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_num:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b440>, <kernel.Type object at 0x218b758>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b248>, <kernel.Type object at 0x218b7a0>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_int:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b290>, <kernel.Type object at 0x218b7e8>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring code_integer:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b2d8>, <kernel.Type object at 0x218b830>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring extended_enat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b248>, <kernel.Type object at 0x218b7a0>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring list_o:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b200>, <kernel.Type object at 0x218b8c0>) of role type named ty_n_t__Complex__Ocomplex
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring complex:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b290>, <kernel.Type object at 0x218b7e8>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_o:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b248>, <kernel.Type object at 0x218b908>) of role type named ty_n_t__String__Ochar
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring char:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b200>, <kernel.Type object at 0x218b950>) of role type named ty_n_t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring real:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b290>, <kernel.Type object at 0x218b998>) of role type named ty_n_t__Rat__Orat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring rat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b248>, <kernel.Type object at 0x218b9e0>) of role type named ty_n_t__Num__Onum
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring num:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b200>, <kernel.Type object at 0x218ba28>) of role type named ty_n_t__Nat__Onat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b290>, <kernel.Type object at 0x218ba70>) of role type named ty_n_t__Int__Oint
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring int:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b290>, <kernel.DependentProduct object at 0x218bc20>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Rat__Orat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring archim2889992004027027881ng_rat:(rat->int)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218bab8>, <kernel.DependentProduct object at 0x218bcb0>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring archim7802044766580827645g_real:(real->int)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218bc20>, <kernel.DependentProduct object at 0x218bd40>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring archim3151403230148437115or_rat:(rat->int)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218bcb0>, <kernel.DependentProduct object at 0x218bdd0>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring archim6058952711729229775r_real:(real->int)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218b440>, <kernel.DependentProduct object at 0x218be60>) of role type named sy_c_Archimedean__Field_Ofrac_001t__Rat__Orat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring archimedean_frac_rat:(rat->rat)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218bcb0>, <kernel.DependentProduct object at 0x218bea8>) of role type named sy_c_Archimedean__Field_Ofrac_001t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring archim2898591450579166408c_real:(real->real)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218be60>, <kernel.DependentProduct object at 0x218bf38>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218bea8>, <kernel.DependentProduct object at 0x218bfc8>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring archim8280529875227126926d_real:(real->int)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218bcf8>, <kernel.DependentProduct object at 0x218bef0>) of role type named sy_c_Binomial_Obinomial
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring binomial:(nat->(nat->nat))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218bfc8>, <kernel.DependentProduct object at 0x218bf80>) of role type named sy_c_Binomial_Ogbinomial_001t__Complex__Ocomplex
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring gbinomial_complex:(complex->(nat->complex))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218bef0>, <kernel.DependentProduct object at 0x218be60>) of role type named sy_c_Binomial_Ogbinomial_001t__Rat__Orat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring gbinomial_rat:(rat->(nat->rat))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218bcf8>, <kernel.DependentProduct object at 0x20081b8>) of role type named sy_c_Binomial_Ogbinomial_001t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring gbinomial_real:(real->(nat->real))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218bfc8>, <kernel.DependentProduct object at 0x20080e0>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218bcf8>, <kernel.DependentProduct object at 0x20081b8>) of role type named sy_c_Bit__Operations_Oand__not__num
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring bit_and_not_num:(num->(num->option_num))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218bfc8>, <kernel.DependentProduct object at 0x2008128>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x218bef0>, <kernel.DependentProduct object at 0x2008098>) of role type named sy_c_Bit__Operations_Oor__not__num__neg
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring bit_or_not_num_neg:(num->(num->num))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x20082d8>, <kernel.DependentProduct object at 0x2008290>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2008170>, <kernel.DependentProduct object at 0x2008098>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x20082d8>, <kernel.DependentProduct object at 0x2008170>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2008098>, <kernel.DependentProduct object at 0x20082d8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se3949692690581998587nteger:(code_integer->(code_integer->code_integer))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2008170>, <kernel.DependentProduct object at 0x2008098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x20082d8>, <kernel.DependentProduct object at 0x2008170>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2008098>, <kernel.DependentProduct object at 0x20082d8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2008170>, <kernel.DependentProduct object at 0x2008098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x20082d8>, <kernel.DependentProduct object at 0x2008170>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2008098>, <kernel.DependentProduct object at 0x20082d8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2008170>, <kernel.DependentProduct object at 0x2008098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x20082d8>, <kernel.DependentProduct object at 0x2008368>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se2119862282449309892nteger:(nat->code_integer)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2008098>, <kernel.DependentProduct object at 0x2008998>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2008368>, <kernel.DependentProduct object at 0x2008a28>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2008998>, <kernel.DependentProduct object at 0x2008368>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se1080825931792720795nteger:(code_integer->(code_integer->code_integer))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2008a28>, <kernel.DependentProduct object at 0x2008998>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2008368>, <kernel.DependentProduct object at 0x2008a28>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2008998>, <kernel.DependentProduct object at 0x2008368>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2008a28>, <kernel.DependentProduct object at 0x2008998>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2008368>, <kernel.DependentProduct object at 0x2008a28>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2008998>, <kernel.DependentProduct object at 0x2008368>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2008a28>, <kernel.DependentProduct object at 0x2008998>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2008368>, <kernel.DependentProduct object at 0x2008a28>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Code____Numeral__Ointeger
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se1745604003318907178nteger:(nat->(code_integer->code_integer))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2008998>, <kernel.DependentProduct object at 0x2008368>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2008a28>, <kernel.DependentProduct object at 0x2008248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2008368>, <kernel.DependentProduct object at 0x2008f38>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2008368>, <kernel.DependentProduct object at 0x200b098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2008368>, <kernel.DependentProduct object at 0x200b200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2008a28>, <kernel.DependentProduct object at 0x200b290>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x200b200>, <kernel.DependentProduct object at 0x200b320>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x200b098>, <kernel.DependentProduct object at 0x200b3b0>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x200b248>, <kernel.DependentProduct object at 0x200b128>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x200b440>, <kernel.DependentProduct object at 0x200b3f8>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x200b248>, <kernel.DependentProduct object at 0x200b440>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oand__num
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_un1837492267222099188nd_num:(num->(num->option_num))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x200b3f8>, <kernel.DependentProduct object at 0x200b248>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oxor__num
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_un6178654185764691216or_num:(num->(num->option_num))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x200b440>, <kernel.DependentProduct object at 0x200b3f8>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_un7362597486090784418nd_num:(num->(num->option_num))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x200b248>, <kernel.DependentProduct object at 0x200b440>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_un2480387367778600638or_num:(num->(num->option_num))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x200b518>, <kernel.DependentProduct object at 0x200b3f8>) of role type named sy_c_Code__Numeral_Obit__cut__integer
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_bit_cut_integer:(code_integer->produc6271795597528267376eger_o)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x200b2d8>, <kernel.DependentProduct object at 0x200b518>) of role type named sy_c_Code__Numeral_Odivmod__abs
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_divmod_abs:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x200b680>, <kernel.DependentProduct object at 0x200b3f8>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x200b830>, <kernel.DependentProduct object at 0x200b560>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_int_of_integer:(code_integer->int)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x200b3f8>, <kernel.DependentProduct object at 0x200b908>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_integer_of_int:(int->code_integer)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x200b7e8>, <kernel.DependentProduct object at 0x200b8c0>) of role type named sy_c_Code__Numeral_Ointeger__of__num
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_integer_of_num:(num->code_integer)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x200b680>, <kernel.DependentProduct object at 0x200b950>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_nat_of_integer:(code_integer->nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x200b560>, <kernel.DependentProduct object at 0x200b998>) of role type named sy_c_Code__Numeral_Onum__of__integer
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_num_of_integer:(code_integer->num)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x200b680>, <kernel.DependentProduct object at 0x200b560>) 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
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring comple8358262395181532106omplex:(set_fi4554929511873752355omplex->filter6041513312241820739omplex)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x200b998>, <kernel.DependentProduct object at 0x200b680>) 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
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring comple2936214249959783750l_real:(set_fi7789364187291644575l_real->filter2146258269922977983l_real)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x200b560>, <kernel.DependentProduct object at 0x200bb00>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring comple4887499456419720421f_real:(set_real->real)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x200b680>, <kernel.DependentProduct object at 0x200bb90>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comple1385675409528146559p_real:(set_real->real)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x200b7e8>, <kernel.DependentProduct object at 0x200bc20>) of role type named sy_c_Complex_OArg
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring arg:(complex->real)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x200bab8>, <kernel.DependentProduct object at 0x200bc68>) of role type named sy_c_Complex_Ocis
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring cis:(real->complex)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x200bb48>, <kernel.DependentProduct object at 0x200bcb0>) of role type named sy_c_Complex_Ocnj
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring cnj:(complex->complex)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x200b878>, <kernel.DependentProduct object at 0x200bb48>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring complex2:(real->(real->complex))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x200bd40>, <kernel.DependentProduct object at 0x200bdd0>) of role type named sy_c_Complex_Ocomplex_OIm
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring im:(complex->real)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x200bb48>, <kernel.DependentProduct object at 0x200bd88>) of role type named sy_c_Complex_Ocomplex_ORe
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring re:(complex->real)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x200b680>, <kernel.DependentProduct object at 0x200bc68>) of role type named sy_c_Complex_Ocsqrt
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring csqrt:(complex->complex)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x200bb90>, <kernel.Constant object at 0x200bdd0>) of role type named sy_c_Complex_Oimaginary__unit
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring imaginary_unit:complex
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x200bb48>, <kernel.DependentProduct object at 0x200bcb0>) of role type named sy_c_Deriv_Odifferentiable_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring differ6690327859849518006l_real:((real->real)->(filter_real->Prop))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x200bb90>, <kernel.DependentProduct object at 0x200bf80>) of role type named sy_c_Deriv_Ohas__derivative_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring has_de1759254742604945161l_real:((real->real)->((real->real)->(filter_real->Prop)))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x200bcb0>, <kernel.DependentProduct object at 0x200bf38>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x200bea8>, <kernel.DependentProduct object at 0x2012098>) of role type named sy_c_Divides_Oadjust__div
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring adjust_div:(product_prod_int_int->int)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x200bdd0>, <kernel.DependentProduct object at 0x200bf38>) of role type named sy_c_Divides_Oadjust__mod
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring adjust_mod:(int->(int->int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x200bb90>, <kernel.DependentProduct object at 0x200bd40>) of role type named sy_c_Divides_Odivmod__nat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x200b878>, <kernel.DependentProduct object at 0x2012128>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x200bd40>, <kernel.DependentProduct object at 0x20120e0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Code____Numeral__Ointeger
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring unique5706413561485394159nteger:(produc8923325533196201883nteger->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x200bd40>, <kernel.DependentProduct object at 0x2012170>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x200bd40>, <kernel.DependentProduct object at 0x2012200>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2012128>, <kernel.DependentProduct object at 0x20122d8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2012368>, <kernel.DependentProduct object at 0x20123b0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2012200>, <kernel.DependentProduct object at 0x20123f8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2012320>, <kernel.DependentProduct object at 0x20124d0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring unique4921790084139445826nteger:(num->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20123f8>, <kernel.DependentProduct object at 0x2012320>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20124d0>, <kernel.DependentProduct object at 0x20123f8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2012320>, <kernel.DependentProduct object at 0x20124d0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Code____Numeral__Ointeger
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comm_s8582702949713902594nteger:(code_integer->(nat->code_integer))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20123f8>, <kernel.DependentProduct object at 0x2012320>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Complex__Ocomplex
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comm_s2602460028002588243omplex:(complex->(nat->complex))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20124d0>, <kernel.DependentProduct object at 0x20123f8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comm_s4660882817536571857er_int:(int->(nat->int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2012320>, <kernel.DependentProduct object at 0x20124d0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comm_s4663373288045622133er_nat:(nat->(nat->nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20123f8>, <kernel.DependentProduct object at 0x2012320>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Rat__Orat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comm_s4028243227959126397er_rat:(rat->(nat->rat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20124d0>, <kernel.DependentProduct object at 0x20123f8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comm_s7457072308508201937r_real:(real->(nat->real))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2012320>, <kernel.DependentProduct object at 0x2012200>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Code____Numeral__Ointeger
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring semiri3624122377584611663nteger:(nat->code_integer)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20123f8>, <kernel.DependentProduct object at 0x2012a70>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012200>, <kernel.DependentProduct object at 0x2012b00>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring semiri1406184849735516958ct_int:(nat->int)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012a70>, <kernel.DependentProduct object at 0x2012b90>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012b00>, <kernel.DependentProduct object at 0x2012c20>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Rat__Orat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring semiri773545260158071498ct_rat:(nat->rat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012b90>, <kernel.DependentProduct object at 0x2012cb0>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012c20>, <kernel.DependentProduct object at 0x2012d40>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring invers8013647133539491842omplex:(complex->complex)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012518>, <kernel.DependentProduct object at 0x2012dd0>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring inverse_inverse_rat:(rat->rat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012c68>, <kernel.DependentProduct object at 0x2012e18>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring inverse_inverse_real:(real->real)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012cf8>, <kernel.Constant object at 0x2012e18>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring at_bot_real:filter_real
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012dd0>, <kernel.Constant object at 0x2012e18>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring at_top_nat:filter_nat
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012cb0>, <kernel.Constant object at 0x2012e18>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring at_top_real:filter_real
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012c20>, <kernel.DependentProduct object at 0x2012dd0>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012e18>, <kernel.DependentProduct object at 0x2012cb0>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012dd0>, <kernel.DependentProduct object at 0x2012ef0>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012e60>, <kernel.DependentProduct object at 0x2012f80>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012c20>, <kernel.DependentProduct object at 0x2012fc8>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012e60>, <kernel.DependentProduct object at 0x2014050>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring princi3496590319149328850omplex:(set_Pr5085853215250843933omplex->filter6041513312241820739omplex)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012fc8>, <kernel.DependentProduct object at 0x2014170>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring princi6114159922880469582l_real:(set_Pr6218003697084177305l_real->filter2146258269922977983l_real)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012248>, <kernel.DependentProduct object at 0x2014248>) of role type named sy_c_Finite__Set_Ocard_001_Eo
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_card_o:(set_o->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012dd0>, <kernel.DependentProduct object at 0x2014200>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_card_complex:(set_complex->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012248>, <kernel.DependentProduct object at 0x2014290>) of role type named sy_c_Finite__Set_Ocard_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_card_int:(set_int->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012e60>, <kernel.DependentProduct object at 0x20142d8>) of role type named sy_c_Finite__Set_Ocard_001t__List__Olist_It__Nat__Onat_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_card_list_nat:(set_list_nat->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2012e60>, <kernel.DependentProduct object at 0x2014320>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_card_nat:(set_nat->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2014248>, <kernel.DependentProduct object at 0x2014368>) of role type named sy_c_Finite__Set_Ocard_001t__Product____Type__Ounit
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite410649719033368117t_unit:(set_Product_unit->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x20141b8>, <kernel.DependentProduct object at 0x20143f8>) of role type named sy_c_Finite__Set_Ocard_001t__String__Ochar
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_card_char:(set_char->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2014170>, <kernel.DependentProduct object at 0x2014440>) of role type named sy_c_Finite__Set_Ofinite_001_Eo
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_finite_o:(set_o->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2014248>, <kernel.DependentProduct object at 0x2014320>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x20143f8>, <kernel.DependentProduct object at 0x20144d0>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_finite_int:(set_int->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2014170>, <kernel.DependentProduct object at 0x2014518>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_I_Eo_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_finite_list_o:(set_list_o->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x20143f8>, <kernel.DependentProduct object at 0x2014560>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Complex__Ocomplex_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite8712137658972009173omplex:(set_list_complex->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2014518>, <kernel.DependentProduct object at 0x20145f0>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Int__Oint_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite3922522038869484883st_int:(set_list_int->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2014560>, <kernel.DependentProduct object at 0x2014680>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Nat__Onat_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite8100373058378681591st_nat:(set_list_nat->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x20145f0>, <kernel.DependentProduct object at 0x2014710>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite3004134309566078307T_VEBT:(set_list_VEBT_VEBT->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2014560>, <kernel.DependentProduct object at 0x20147a0>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_finite_nat:(set_nat->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2014680>, <kernel.DependentProduct object at 0x20147e8>) of role type named sy_c_Finite__Set_Ofinite_001t__Num__Onum
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_finite_num:(set_num->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2014560>, <kernel.DependentProduct object at 0x2014830>) of role type named sy_c_Finite__Set_Ofinite_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite6177210948735845034at_nat:(set_Pr1261947904930325089at_nat->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2014680>, <kernel.DependentProduct object at 0x20148c0>) of role type named sy_c_Finite__Set_Ofinite_001t__Rat__Orat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_finite_rat:(set_rat->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x20147e8>, <kernel.DependentProduct object at 0x2014908>) of role type named sy_c_Finite__Set_Ofinite_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_finite_real:(set_real->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2014680>, <kernel.DependentProduct object at 0x2014950>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite1152437895449049373et_nat:(set_set_nat->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2014908>, <kernel.DependentProduct object at 0x20149e0>) of role type named sy_c_Finite__Set_Ofinite_001t__VEBT____Definitions__OVEBT
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite5795047828879050333T_VEBT:(set_VEBT_VEBT->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2014950>, <kernel.DependentProduct object at 0x2014680>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2014b00>, <kernel.DependentProduct object at 0x2014998>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2014b48>, <kernel.DependentProduct object at 0x2014908>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2014b00>, <kernel.DependentProduct object at 0x2014b48>) of role type named sy_c_Fun_Ocomp_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring comp_C8797469213163452608nteger:(((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->(code_integer->code_integer))->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2014908>, <kernel.DependentProduct object at 0x2014b00>) of role type named sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring comp_C1593894019821074884nteger:((code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->code_integer)->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2014c68>, <kernel.DependentProduct object at 0x2014cb0>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring comp_nat_nat_nat:((nat->nat)->((nat->nat)->(nat->nat)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2014680>, <kernel.DependentProduct object at 0x2014e18>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Real__Oreal_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring comp_nat_real_nat:((nat->real)->((nat->nat)->(nat->real)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2014950>, <kernel.DependentProduct object at 0x2014cf8>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring inj_on_nat_nat:((nat->nat)->(set_nat->Prop))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2014e18>, <kernel.DependentProduct object at 0x2014998>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__String__Ochar
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring inj_on_nat_char:((nat->char)->(set_nat->Prop))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2014cf8>, <kernel.DependentProduct object at 0x2014bd8>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring inj_on_real_real:((real->real)->(set_real->Prop))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2014e18>, <kernel.DependentProduct object at 0x2014998>) of role type named sy_c_Fun_Ostrict__mono__on_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring strict1292158309912662752at_nat:((nat->nat)->(set_nat->Prop))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2014bd8>, <kernel.DependentProduct object at 0x2014f80>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2014f38>, <kernel.DependentProduct object at 0x2014fc8>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring gcd_Gcd_nat:(set_nat->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2014d40>, <kernel.DependentProduct object at 0x2014bd8>) of role type named sy_c_GCD_Obezw
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bezw:(nat->(nat->product_prod_int_int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2014ef0>, <kernel.DependentProduct object at 0x2014f38>) of role type named sy_c_GCD_Obezw__rel
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bezw_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2014e18>, <kernel.DependentProduct object at 0x2014fc8>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring gcd_gcd_int:(int->(int->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2014f38>, <kernel.DependentProduct object at 0x2014c68>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring gcd_gcd_nat:(nat->(nat->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2014fc8>, <kernel.DependentProduct object at 0x2195128>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2014f80>, <kernel.DependentProduct object at 0x21950e0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring abs_abs_complex:(complex->complex)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2014f38>, <kernel.DependentProduct object at 0x21951b8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring abs_abs_int:(int->int)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2014fc8>, <kernel.DependentProduct object at 0x2195200>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring abs_abs_rat:(rat->rat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2014f38>, <kernel.DependentProduct object at 0x2195248>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring abs_abs_real:(real->real)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2195200>, <kernel.DependentProduct object at 0x21952d8>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring minus_8727706125548526216plex_o:((complex->Prop)->((complex->Prop)->(complex->Prop)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2014f80>, <kernel.DependentProduct object at 0x2195320>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Int__Oint_M_Eo_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_int_o:((int->Prop)->((int->Prop)->(int->Prop)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195290>, <kernel.DependentProduct object at 0x21953f8>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_1139252259498527702_nat_o:((list_nat->Prop)->((list_nat->Prop)->(list_nat->Prop)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21952d8>, <kernel.DependentProduct object at 0x21953b0>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Nat__Onat_M_Eo_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_nat_o:((nat->Prop)->((nat->Prop)->(nat->Prop)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195290>, <kernel.DependentProduct object at 0x21954d0>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_2270307095948843157_nat_o:((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->(product_prod_nat_nat->Prop)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21953f8>, <kernel.DependentProduct object at 0x2195488>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Real__Oreal_M_Eo_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_real_o:((real->Prop)->((real->Prop)->(real->Prop)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195290>, <kernel.DependentProduct object at 0x21953f8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_8373710615458151222nteger:(code_integer->(code_integer->code_integer))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21954d0>, <kernel.DependentProduct object at 0x2195488>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195290>, <kernel.DependentProduct object at 0x21954d0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Extended____Nat__Oenat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_3235023915231533773d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21955f0>, <kernel.DependentProduct object at 0x2195488>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_int:(int->(int->int))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195518>, <kernel.DependentProduct object at 0x2195290>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21956c8>, <kernel.DependentProduct object at 0x21955f0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_rat:(rat->(rat->rat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21953f8>, <kernel.DependentProduct object at 0x2195518>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_real:(real->(real->real))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21956c8>, <kernel.DependentProduct object at 0x21953f8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21954d0>, <kernel.DependentProduct object at 0x2195518>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21956c8>, <kernel.DependentProduct object at 0x21954d0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_7954133019191499631st_nat:(set_list_nat->(set_list_nat->set_list_nat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195878>, <kernel.DependentProduct object at 0x2195518>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21956c8>, <kernel.DependentProduct object at 0x2195830>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_1356011639430497352at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21953f8>, <kernel.DependentProduct object at 0x2195518>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21956c8>, <kernel.DependentProduct object at 0x21953f8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_5127226145743854075T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195a28>, <kernel.Constant object at 0x21953f8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring one_one_Code_integer:code_integer
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21954d0>, <kernel.Constant object at 0x21953f8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring one_one_complex:complex
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195a28>, <kernel.Constant object at 0x2195830>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195908>, <kernel.Constant object at 0x2195830>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring one_one_int:int
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195b00>, <kernel.Constant object at 0x2195830>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring one_one_nat:nat
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195b48>, <kernel.Constant object at 0x2195830>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring one_one_rat:rat
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195b90>, <kernel.Constant object at 0x2195830>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring one_one_real:real
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195b48>, <kernel.DependentProduct object at 0x2195b90>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195cf8>, <kernel.DependentProduct object at 0x2195830>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195b48>, <kernel.DependentProduct object at 0x2195cf8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195dd0>, <kernel.DependentProduct object at 0x2195830>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring plus_plus_int:(int->(int->int))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195bd8>, <kernel.DependentProduct object at 0x2195b48>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195ea8>, <kernel.DependentProduct object at 0x2195dd0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring plus_plus_num:(num->(num->num))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195b90>, <kernel.DependentProduct object at 0x2195bd8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195d88>, <kernel.DependentProduct object at 0x2195ea8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring plus_plus_real:(real->(real->real))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195cf8>, <kernel.DependentProduct object at 0x2195b48>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195dd0>, <kernel.DependentProduct object at 0x2197050>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring sgn_sgn_complex:(complex->complex)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195bd8>, <kernel.DependentProduct object at 0x2197098>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring sgn_sgn_int:(int->int)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195b48>, <kernel.DependentProduct object at 0x21970e0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring sgn_sgn_rat:(rat->rat)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195ea8>, <kernel.DependentProduct object at 0x2197128>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring sgn_sgn_real:(real->real)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195b48>, <kernel.DependentProduct object at 0x2197050>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195ea8>, <kernel.DependentProduct object at 0x21971b8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring times_times_complex:(complex->(complex->complex))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195b48>, <kernel.DependentProduct object at 0x2197290>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195ea8>, <kernel.DependentProduct object at 0x2197128>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring times_times_int:(int->(int->int))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195b48>, <kernel.DependentProduct object at 0x21970e0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring times_times_nat:(nat->(nat->nat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2195b48>, <kernel.DependentProduct object at 0x2197050>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring times_times_num:(num->(num->num))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2197170>, <kernel.DependentProduct object at 0x2197320>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring times_times_rat:(rat->(rat->rat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2197200>, <kernel.DependentProduct object at 0x2197248>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring times_times_real:(real->(real->real))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2197170>, <kernel.DependentProduct object at 0x2197128>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2197248>, <kernel.DependentProduct object at 0x21974d0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2197290>, <kernel.DependentProduct object at 0x2197560>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus_uminus_int:(int->int)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x2197488>, <kernel.DependentProduct object at 0x21975a8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus_uminus_rat:(rat->rat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21970e0>, <kernel.DependentProduct object at 0x21975f0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus_uminus_real:(real->real)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x2197488>, <kernel.DependentProduct object at 0x2197638>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Int__Oint_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus1532241313380277803et_int:(set_int->set_int)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21975f0>, <kernel.DependentProduct object at 0x21976c8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x2197638>, <kernel.DependentProduct object at 0x2197758>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Real__Oreal_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus612125837232591019t_real:(set_real->set_real)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21976c8>, <kernel.DependentProduct object at 0x21977e8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus8041839845116263051T_VEBT:(set_VEBT_VEBT->set_VEBT_VEBT)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x2197758>, <kernel.Constant object at 0x2197710>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring zero_z3403309356797280102nteger:code_integer
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21977a0>, <kernel.Constant object at 0x2197710>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring zero_zero_complex:complex
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x2197758>, <kernel.Constant object at 0x21974d0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x2197878>, <kernel.Constant object at 0x21974d0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring zero_zero_int:int
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x2197908>, <kernel.Constant object at 0x21974d0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring zero_zero_nat:nat
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x2197950>, <kernel.Constant object at 0x21974d0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring zero_zero_rat:rat
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x2197998>, <kernel.Constant object at 0x21974d0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring zero_zero_real:real
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x2197950>, <kernel.DependentProduct object at 0x21979e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups6621422865394947399nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21974d0>, <kernel.DependentProduct object at 0x2197998>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21979e0>, <kernel.DependentProduct object at 0x2197950>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x2197998>, <kernel.DependentProduct object at 0x21974d0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x2197950>, <kernel.DependentProduct object at 0x21979e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups5058264527183730370ex_rat:((complex->rat)->(set_complex->rat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21974d0>, <kernel.DependentProduct object at 0x2197998>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21979e0>, <kernel.DependentProduct object at 0x2197950>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups7873554091576472773nteger:((int->code_integer)->(set_int->code_integer))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x2197998>, <kernel.DependentProduct object at 0x21974d0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Complex__Ocomplex
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups3049146728041665814omplex:((int->complex)->(set_int->complex))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x2197950>, <kernel.DependentProduct object at 0x21979e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21974d0>, <kernel.DependentProduct object at 0x2197998>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21979e0>, <kernel.DependentProduct object at 0x2197830>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Rat__Orat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups3906332499630173760nt_rat:((int->rat)->(set_int->rat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21979e0>, <kernel.DependentProduct object at 0x219d098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21979e0>, <kernel.DependentProduct object at 0x219d128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups7501900531339628137nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21974d0>, <kernel.DependentProduct object at 0x219d170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x219d200>, <kernel.DependentProduct object at 0x219d248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x219d2d8>, <kernel.DependentProduct object at 0x219d1b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x219d290>, <kernel.DependentProduct object at 0x219d200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Rat__Orat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups2906978787729119204at_rat:((nat->rat)->(set_nat->rat))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x219d368>, <kernel.DependentProduct object at 0x219d3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x219d290>, <kernel.DependentProduct object at 0x219d0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Complex__Ocomplex
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring groups6381953495645901045omplex:((product_prod_nat_nat->complex)->(set_Pr1261947904930325089at_nat->complex))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x219d3f8>, <kernel.DependentProduct object at 0x219d200>) 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
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring groups977919841031483927at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->nat))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x219d0e0>, <kernel.DependentProduct object at 0x219d518>) 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
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring groups4567486121110086003t_real:((product_prod_nat_nat->real)->(set_Pr1261947904930325089at_nat->real))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x219d200>, <kernel.DependentProduct object at 0x219d2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring groups7713935264441627589nteger:((real->code_integer)->(set_real->code_integer))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x219d518>, <kernel.DependentProduct object at 0x219d0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring groups5754745047067104278omplex:((real->complex)->(set_real->complex))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x219d2d8>, <kernel.DependentProduct object at 0x219d200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Int__Oint
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring groups1932886352136224148al_int:((real->int)->(set_real->int))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x219d0e0>, <kernel.DependentProduct object at 0x219d518>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x219d200>, <kernel.DependentProduct object at 0x219d2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Rat__Orat
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring groups1300246762558778688al_rat:((real->rat)->(set_real->rat))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x219d518>, <kernel.DependentProduct object at 0x219d0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x219d2d8>, <kernel.DependentProduct object at 0x219d200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring groups769130701875090982BT_int:((vEBT_VEBT->int)->(set_VEBT_VEBT->int))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x219d0e0>, <kernel.DependentProduct object at 0x219d518>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring groups771621172384141258BT_nat:((vEBT_VEBT->nat)->(set_VEBT_VEBT->nat))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x219d200>, <kernel.DependentProduct object at 0x219d2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Rat__Orat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring groups136491112297645522BT_rat:((vEBT_VEBT->rat)->(set_VEBT_VEBT->rat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x219d518>, <kernel.DependentProduct object at 0x219d0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring groups2240296850493347238T_real:((vEBT_VEBT->real)->(set_VEBT_VEBT->real))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x219d2d8>, <kernel.DependentProduct object at 0x219d200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring groups8682486955453173170nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x219d0e0>, <kernel.DependentProduct object at 0x219d518>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring groups3708469109370488835omplex:((complex->complex)->(set_complex->complex))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x219d200>, <kernel.DependentProduct object at 0x219d2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring groups858564598930262913ex_int:((complex->int)->(set_complex->int))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x219d518>, <kernel.DependentProduct object at 0x219d0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring groups861055069439313189ex_nat:((complex->nat)->(set_complex->nat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x219d2d8>, <kernel.DependentProduct object at 0x219d200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring groups225925009352817453ex_rat:((complex->rat)->(set_complex->rat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x219d0e0>, <kernel.DependentProduct object at 0x219d518>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring groups766887009212190081x_real:((complex->real)->(set_complex->real))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x219d200>, <kernel.DependentProduct object at 0x219d2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Complex__Ocomplex
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring groups7440179247065528705omplex:((int->complex)->(set_int->complex))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x219d518>, <kernel.DependentProduct object at 0x219d638>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x219d518>, <kernel.DependentProduct object at 0x21a1098>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring groups1707563613775114915nt_nat:((int->nat)->(set_int->nat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x219d518>, <kernel.DependentProduct object at 0x21a1128>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Rat__Orat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring groups1072433553688619179nt_rat:((int->rat)->(set_int->rat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x219d200>, <kernel.DependentProduct object at 0x21a1170>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Real__Oreal
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring groups2316167850115554303t_real:((int->real)->(set_int->real))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x21a1200>, <kernel.DependentProduct object at 0x21a1248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring groups3455450783089532116nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x21a12d8>, <kernel.DependentProduct object at 0x21a11b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring groups6464643781859351333omplex:((nat->complex)->(set_nat->complex))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1290>, <kernel.DependentProduct object at 0x21a1200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1368>, <kernel.DependentProduct object at 0x21a13f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1290>, <kernel.DependentProduct object at 0x21a12d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Rat__Orat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring groups73079841787564623at_rat:((nat->rat)->(set_nat->rat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a13f8>, <kernel.DependentProduct object at 0x21a1368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring groups129246275422532515t_real:((nat->real)->(set_nat->real))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a12d8>, <kernel.DependentProduct object at 0x21a10e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Complex__Ocomplex
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring groups8110221916422527690omplex:((product_prod_nat_nat->complex)->(set_Pr1261947904930325089at_nat->complex))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1368>, <kernel.DependentProduct object at 0x21a1200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring groups6036352826371341000t_real:((product_prod_nat_nat->real)->(set_Pr1261947904930325089at_nat->real))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a10e0>, <kernel.DependentProduct object at 0x21a1290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring groups713298508707869441omplex:((real->complex)->(set_real->complex))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1200>, <kernel.DependentProduct object at 0x21a1368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring groups4694064378042380927al_int:((real->int)->(set_real->int))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1290>, <kernel.DependentProduct object at 0x21a10e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring groups4696554848551431203al_nat:((real->nat)->(set_real->nat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1368>, <kernel.DependentProduct object at 0x21a1200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Rat__Orat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring groups4061424788464935467al_rat:((real->rat)->(set_real->rat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a10e0>, <kernel.DependentProduct object at 0x21a1290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring groups1681761925125756287l_real:((real->real)->(set_real->real))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1200>, <kernel.DependentProduct object at 0x21a1368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__VEBT____Definitions__OVEBT_001t__Complex__Ocomplex
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring groups127312072573709053omplex:((vEBT_VEBT->complex)->(set_VEBT_VEBT->complex))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1290>, <kernel.DependentProduct object at 0x21a10e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring groups2703838992350267259T_real:((vEBT_VEBT->real)->(set_VEBT_VEBT->real))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1368>, <kernel.DependentProduct object at 0x21a1290>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring groups9116527308978886569_o_int:((Prop->int)->(int->(list_o->int)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a10e0>, <kernel.DependentProduct object at 0x21a1cb0>) of role type named sy_c_Groups__List_Omonoid__add__class_Osum__list_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring groups4561878855575611511st_nat:(list_nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1320>, <kernel.DependentProduct object at 0x21a1cf8>) of role type named sy_c_HOL_OThe_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring the_int:((int->Prop)->int)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1bd8>, <kernel.DependentProduct object at 0x21a1d40>) of role type named sy_c_HOL_OThe_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring the_real:((real->Prop)->real)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1368>, <kernel.DependentProduct object at 0x21a1d88>) of role type named sy_c_If_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring if_int_int:(Prop->((int->int)->((int->int)->(int->int))))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1cb0>, <kernel.DependentProduct object at 0x21a1d88>) of role type named sy_c_If_001t__Code____Numeral__Ointeger
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring if_Code_integer:(Prop->(code_integer->(code_integer->code_integer)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1b00>, <kernel.DependentProduct object at 0x21a1d40>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1ea8>, <kernel.DependentProduct object at 0x21a1b00>) of role type named sy_c_If_001t__Extended____Nat__Oenat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring if_Extended_enat:(Prop->(extended_enat->(extended_enat->extended_enat)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1e60>, <kernel.DependentProduct object at 0x21a1b00>) of role type named sy_c_If_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring if_int:(Prop->(int->(int->int)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1b90>, <kernel.DependentProduct object at 0x21a1b00>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1f38>, <kernel.DependentProduct object at 0x21a1b00>) of role type named sy_c_If_001t__List__Olist_It__Nat__Onat_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring if_list_nat:(Prop->(list_nat->(list_nat->list_nat)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1f80>, <kernel.DependentProduct object at 0x21a1b00>) of role type named sy_c_If_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1fc8>, <kernel.DependentProduct object at 0x21a1b00>) of role type named sy_c_If_001t__Num__Onum
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring if_num:(Prop->(num->(num->num)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1d88>, <kernel.DependentProduct object at 0x21a1b00>) of role type named sy_c_If_001t__Option__Ooption_It__Nat__Onat_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring if_option_nat:(Prop->(option_nat->(option_nat->option_nat)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1290>, <kernel.DependentProduct object at 0x21a1b00>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1d88>, <kernel.DependentProduct object at 0x21a1f80>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring if_Pro5737122678794959658eger_o:(Prop->(produc6271795597528267376eger_o->(produc6271795597528267376eger_o->produc6271795597528267376eger_o)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x21a1b00>, <kernel.DependentProduct object at 0x21a3050>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a1b00>, <kernel.DependentProduct object at 0x21a3050>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a1b00>, <kernel.DependentProduct object at 0x21a3170>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a1ea8>, <kernel.DependentProduct object at 0x21a3170>) of role type named sy_c_If_001t__Rat__Orat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a1b00>, <kernel.DependentProduct object at 0x21a3170>) of role type named sy_c_If_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring if_real:(Prop->(real->(real->real)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a1b00>, <kernel.DependentProduct object at 0x21a3170>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a33f8>, <kernel.DependentProduct object at 0x21a3170>) of role type named sy_c_If_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring if_set_nat:(Prop->(set_nat->(set_nat->set_nat)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3440>, <kernel.DependentProduct object at 0x21a3170>) of role type named sy_c_If_001t__VEBT____Definitions__OVEBT
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring if_VEBT_VEBT:(Prop->(vEBT_VEBT->(vEBT_VEBT->vEBT_VEBT)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3488>, <kernel.DependentProduct object at 0x21a34d0>) of role type named sy_c_Int_OAbs__Integ
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring abs_Integ:(product_prod_nat_nat->int)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a30e0>, <kernel.DependentProduct object at 0x21a32d8>) of role type named sy_c_Int_ORep__Integ
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring rep_Integ:(int->product_prod_nat_nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a33b0>, <kernel.DependentProduct object at 0x21a3290>) of role type named sy_c_Int_Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring nat2:(int->nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3170>, <kernel.DependentProduct object at 0x21a30e0>) of role type named sy_c_Int_Opower__int_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring power_int_real:(real->(int->real))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3518>, <kernel.Constant object at 0x21a30e0>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring ring_1_Ints_real:set_real
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3170>, <kernel.DependentProduct object at 0x21a34d0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a30e0>, <kernel.DependentProduct object at 0x21a3638>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3290>, <kernel.DependentProduct object at 0x21a36c8>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring ring_1_of_int_int:(int->int)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3560>, <kernel.DependentProduct object at 0x21a3710>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Rat__Orat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring ring_1_of_int_rat:(int->rat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a35f0>, <kernel.DependentProduct object at 0x21a3758>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring ring_1_of_int_real:(int->real)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3560>, <kernel.DependentProduct object at 0x21a35f0>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Extended____Nat__Oenat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring inf_in1870772243966228564d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a37a0>, <kernel.DependentProduct object at 0x21a3758>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring inf_inf_nat:(nat->(nat->nat))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3560>, <kernel.DependentProduct object at 0x21a3878>) of role type named sy_c_Lattices_Osemilattice__neutr__order_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring semila1623282765462674594er_nat:((nat->(nat->nat))->(nat->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3758>, <kernel.DependentProduct object at 0x21a3560>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Extended____Nat__Oenat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring sup_su3973961784419623482d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3950>, <kernel.DependentProduct object at 0x21a3878>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring sup_sup_nat:(nat->(nat->nat))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3710>, <kernel.DependentProduct object at 0x21a3758>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring sup_sup_set_nat:(set_nat->(set_nat->set_nat))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3950>, <kernel.DependentProduct object at 0x21a3560>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring sup_su6327502436637775413at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3758>, <kernel.DependentProduct object at 0x21a3710>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a30e0>, <kernel.DependentProduct object at 0x21a3ab8>) of role type named sy_c_Limits_OBfun_001t__Nat__Onat_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bfun_nat_real:((nat->real)->(filter_nat->Prop))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3128>, <kernel.DependentProduct object at 0x21a30e0>) of role type named sy_c_List_Oappend_001t__Int__Oint
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring append_int:(list_int->(list_int->list_int))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3710>, <kernel.DependentProduct object at 0x21a3ab8>) of role type named sy_c_List_Oappend_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring append_nat:(list_nat->(list_nat->list_nat))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3bd8>, <kernel.DependentProduct object at 0x21a3cb0>) of role type named sy_c_List_Odistinct_001t__Int__Oint
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring distinct_int:(list_int->Prop)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3c20>, <kernel.DependentProduct object at 0x21a3b48>) of role type named sy_c_List_Odistinct_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring distinct_nat:(list_nat->Prop)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3128>, <kernel.DependentProduct object at 0x21a3bd8>) of role type named sy_c_List_Odrop_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring drop_nat:(nat->(list_nat->list_nat))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3758>, <kernel.DependentProduct object at 0x21a3d88>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x21a3cf8>, <kernel.DependentProduct object at 0x21a3128>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring cons_int:(int->(list_int->list_int))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a3ab8>, <kernel.DependentProduct object at 0x21a3758>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a3dd0>, <kernel.Constant object at 0x21a3758>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring nil_int:list_int
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a3128>, <kernel.Constant object at 0x21a3758>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring nil_nat:list_nat
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a3710>, <kernel.DependentProduct object at 0x21a3ef0>) of role type named sy_c_List_Olist_Ohd_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring hd_nat:(list_nat->nat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a3e60>, <kernel.DependentProduct object at 0x21a3ef0>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring map_nat_nat:((nat->nat)->(list_nat->list_nat))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a3dd0>, <kernel.DependentProduct object at 0x21a3f38>) of role type named sy_c_List_Olist_Oset_001_Eo
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring set_o2:(list_o->set_o)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a3cb0>, <kernel.DependentProduct object at 0x21a3d88>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring set_complex2:(list_complex->set_complex)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a3128>, <kernel.DependentProduct object at 0x21a3fc8>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring set_int2:(list_int->set_int)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a3ef0>, <kernel.DependentProduct object at 0x21a6050>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring set_nat2:(list_nat->set_nat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a3128>, <kernel.DependentProduct object at 0x21a6050>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring set_Pr5648618587558075414at_nat:(list_P6011104703257516679at_nat->set_Pr1261947904930325089at_nat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a3dd0>, <kernel.DependentProduct object at 0x21a6128>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring set_real2:(list_real->set_real)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a3ef0>, <kernel.DependentProduct object at 0x21a6170>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a3128>, <kernel.DependentProduct object at 0x21a6170>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a3cb0>, <kernel.DependentProduct object at 0x21a6098>) of role type named sy_c_List_Olist_Otl_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring tl_nat:(list_nat->list_nat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a3ef0>, <kernel.DependentProduct object at 0x21a61b8>) of role type named sy_c_List_Olist__update_001_Eo
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring list_update_o:(list_o->(nat->(Prop->list_o)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a3dd0>, <kernel.DependentProduct object at 0x21a6290>) of role type named sy_c_List_Olist__update_001t__Complex__Ocomplex
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring list_update_complex:(list_complex->(nat->(complex->list_complex)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a3dd0>, <kernel.DependentProduct object at 0x21a6050>) of role type named sy_c_List_Olist__update_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring list_update_int:(list_int->(nat->(int->list_int)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a63b0>, <kernel.DependentProduct object at 0x21a6200>) of role type named sy_c_List_Olist__update_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring list_update_nat:(list_nat->(nat->(nat->list_nat)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a6248>, <kernel.DependentProduct object at 0x21a63b0>) of role type named sy_c_List_Olist__update_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring list_u6180841689913720943at_nat:(list_P6011104703257516679at_nat->(nat->(product_prod_nat_nat->list_P6011104703257516679at_nat)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a6440>, <kernel.DependentProduct object at 0x21a6200>) of role type named sy_c_List_Olist__update_001t__Real__Oreal
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring list_update_real:(list_real->(nat->(real->list_real)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a6248>, <kernel.DependentProduct object at 0x21a6440>) of role type named sy_c_List_Olist__update_001t__VEBT____Definitions__OVEBT
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring list_u1324408373059187874T_VEBT:(list_VEBT_VEBT->(nat->(vEBT_VEBT->list_VEBT_VEBT)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a6518>, <kernel.DependentProduct object at 0x21a6200>) of role type named sy_c_List_Onth_001_Eo
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring nth_o:(list_o->(nat->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a6488>, <kernel.DependentProduct object at 0x21a6248>) of role type named sy_c_List_Onth_001t__Code____Numeral__Ointeger
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring nth_Code_integer:(list_Code_integer->(nat->code_integer))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a6560>, <kernel.DependentProduct object at 0x21a6518>) of role type named sy_c_List_Onth_001t__Complex__Ocomplex
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring nth_complex:(list_complex->(nat->complex))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a60e0>, <kernel.DependentProduct object at 0x21a6560>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring nth_int:(list_int->(nat->int))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a6368>, <kernel.DependentProduct object at 0x21a6518>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring nth_nat:(list_nat->(nat->nat))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a6440>, <kernel.DependentProduct object at 0x21a60e0>) of role type named sy_c_List_Onth_001t__Num__Onum
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring nth_num:(list_num->(nat->num))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a6248>, <kernel.DependentProduct object at 0x21a6488>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring nth_Product_prod_o_o:(list_P4002435161011370285od_o_o->(nat->product_prod_o_o))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a6368>, <kernel.DependentProduct object at 0x21a6248>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring nth_Pr1649062631805364268_o_int:(list_P3795440434834930179_o_int->(nat->product_prod_o_int))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a6488>, <kernel.DependentProduct object at 0x21a6368>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring nth_Pr5826913651314560976_o_nat:(list_P6285523579766656935_o_nat->(nat->product_prod_o_nat))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a6248>, <kernel.DependentProduct object at 0x21a6488>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring nth_Pr6777367263587873994T_VEBT:(list_P7495141550334521929T_VEBT->(nat->produc2504756804600209347T_VEBT))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a6368>, <kernel.DependentProduct object at 0x21a6248>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring nth_Pr8522763379788166057eger_o:(list_P8526636022914148096eger_o->(nat->produc6271795597528267376eger_o))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x21a6488>, <kernel.DependentProduct object at 0x21a6368>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring nth_Pr7617993195940197384at_nat:(list_P6011104703257516679at_nat->(nat->product_prod_nat_nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6248>, <kernel.DependentProduct object at 0x21a6488>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring nth_Pr6456567536196504476um_num:(list_P3744719386663036955um_num->(nat->product_prod_num_num))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6368>, <kernel.DependentProduct object at 0x21a6248>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6488>, <kernel.DependentProduct object at 0x21a6368>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring nth_Pr6837108013167703752BT_int:(list_P4547456442757143711BT_int->(nat->produc4894624898956917775BT_int))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6248>, <kernel.DependentProduct object at 0x21a6488>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring nth_Pr1791586995822124652BT_nat:(list_P7037539587688870467BT_nat->(nat->produc9072475918466114483BT_nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6368>, <kernel.DependentProduct object at 0x21a6248>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6638>, <kernel.DependentProduct object at 0x21a6368>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring nth_real:(list_real->(nat->real))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6cb0>, <kernel.DependentProduct object at 0x21a6488>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6c20>, <kernel.DependentProduct object at 0x21a6cb0>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6d88>, <kernel.DependentProduct object at 0x21a6248>) of role type named sy_c_List_Oproduct_001_Eo_001t__Int__Oint
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring product_o_int:(list_o->(list_int->list_P3795440434834930179_o_int))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6dd0>, <kernel.DependentProduct object at 0x21a6488>) of role type named sy_c_List_Oproduct_001_Eo_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring product_o_nat:(list_o->(list_nat->list_P6285523579766656935_o_nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6638>, <kernel.DependentProduct object at 0x21a6d88>) of role type named sy_c_List_Oproduct_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring product_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6dd0>, <kernel.DependentProduct object at 0x21a6638>) of role type named sy_c_List_Oproduct_001t__Code____Numeral__Ointeger_001_Eo
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring produc3607205314601156340eger_o:(list_Code_integer->(list_o->list_P8526636022914148096eger_o))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6e18>, <kernel.DependentProduct object at 0x21a6d88>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001_Eo
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring product_nat_o:(list_nat->(list_o->list_P7333126701944960589_nat_o))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6dd0>, <kernel.DependentProduct object at 0x21a6e18>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring produc7156399406898700509T_VEBT:(list_nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6e60>, <kernel.DependentProduct object at 0x21a6d88>) of role type named sy_c_List_Oproduct_001t__Num__Onum_001t__Num__Onum
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring product_num_num:(list_num->(list_num->list_P3744719386663036955um_num))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6fc8>, <kernel.DependentProduct object at 0x21a6dd0>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6e60>, <kernel.DependentProduct object at 0x21a6fc8>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring produc7292646706713671643BT_int:(list_VEBT_VEBT->(list_int->list_P4547456442757143711BT_int))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6dd0>, <kernel.DependentProduct object at 0x21a90e0>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring produc7295137177222721919BT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6fc8>, <kernel.DependentProduct object at 0x21a9170>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6d40>, <kernel.DependentProduct object at 0x21a9248>) of role type named sy_c_List_Oremdups_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring remdups_nat:(list_nat->list_nat)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6dd0>, <kernel.DependentProduct object at 0x21a90e0>) of role type named sy_c_List_Oreplicate_001_Eo
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring replicate_o:(nat->(Prop->list_o))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6d40>, <kernel.DependentProduct object at 0x21a9200>) of role type named sy_c_List_Oreplicate_001t__Complex__Ocomplex
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring replicate_complex:(nat->(complex->list_complex))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6dd0>, <kernel.DependentProduct object at 0x21a9050>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring replicate_int:(nat->(int->list_int))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a6dd0>, <kernel.DependentProduct object at 0x21a9290>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a92d8>, <kernel.DependentProduct object at 0x21a9170>) of role type named sy_c_List_Oreplicate_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring replic4235873036481779905at_nat:(nat->(product_prod_nat_nat->list_P6011104703257516679at_nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a90e0>, <kernel.DependentProduct object at 0x21a9290>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring replicate_real:(nat->(real->list_real))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a9098>, <kernel.DependentProduct object at 0x21a92d8>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a9440>, <kernel.DependentProduct object at 0x21a9248>) of role type named sy_c_List_Osorted__wrt_001t__Int__Oint
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring sorted_wrt_int:((int->(int->Prop))->(list_int->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a92d8>, <kernel.DependentProduct object at 0x21a94d0>) of role type named sy_c_List_Osorted__wrt_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring sorted_wrt_nat:((nat->(nat->Prop))->(list_nat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a9320>, <kernel.DependentProduct object at 0x21a92d8>) of role type named sy_c_List_Otake_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring take_nat:(nat->(list_nat->list_nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x21a9560>, <kernel.DependentProduct object at 0x21a9440>) of role type named sy_c_List_Oupt
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring upt:(nat->(nat->list_nat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a95f0>, <kernel.DependentProduct object at 0x21a94d0>) of role type named sy_c_List_Oupto
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring upto:(int->(int->list_int))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a95a8>, <kernel.DependentProduct object at 0x21a9560>) of role type named sy_c_List_Oupto__aux
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9050>, <kernel.DependentProduct object at 0x21a95f0>) of role type named sy_c_List_Oupto__rel
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring upto_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9680>, <kernel.DependentProduct object at 0x21a92d8>) of role type named sy_c_Nat_OSuc
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring suc:(nat->nat)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a94d0>, <kernel.DependentProduct object at 0x21a9758>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9248>, <kernel.DependentProduct object at 0x21a97e8>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9050>, <kernel.DependentProduct object at 0x21a97a0>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a96c8>, <kernel.DependentProduct object at 0x21a9830>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Option__Ooption_It__Num__Onum_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring case_nat_option_num:(option_num->((nat->option_num)->(nat->option_num)))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9878>, <kernel.DependentProduct object at 0x21a9758>) of role type named sy_c_Nat_Onat_Opred
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring pred:(nat->nat)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a96c8>, <kernel.DependentProduct object at 0x21a98c0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9758>, <kernel.DependentProduct object at 0x21a9680>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a98c0>, <kernel.DependentProduct object at 0x21a9950>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Extended____Nat__Oenat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring semiri4216267220026989637d_enat:(nat->extended_enat)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9680>, <kernel.DependentProduct object at 0x21a99e0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9950>, <kernel.DependentProduct object at 0x21a9a70>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a99e0>, <kernel.DependentProduct object at 0x21a9b00>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9a70>, <kernel.DependentProduct object at 0x21a9b90>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9b00>, <kernel.DependentProduct object at 0x21a9248>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Complex__Ocomplex
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring semiri2816024913162550771omplex:((complex->complex)->(nat->(complex->complex)))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9b90>, <kernel.DependentProduct object at 0x21a9c68>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Int__Oint
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring semiri8420488043553186161ux_int:((int->int)->(nat->(int->int)))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9248>, <kernel.DependentProduct object at 0x21a9cf8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Nat__Onat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring semiri8422978514062236437ux_nat:((nat->nat)->(nat->(nat->nat)))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9c68>, <kernel.DependentProduct object at 0x21a9d88>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Rat__Orat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring semiri7787848453975740701ux_rat:((rat->rat)->(nat->(rat->rat)))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9cf8>, <kernel.DependentProduct object at 0x21a9e18>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Real__Oreal
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring semiri7260567687927622513x_real:((real->real)->(nat->(real->real)))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9ea8>, <kernel.DependentProduct object at 0x21a9f80>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring size_size_list_o:(list_o->nat)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9cf8>, <kernel.DependentProduct object at 0x21a9f38>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring size_s3445333598471063425nteger:(list_Code_integer->nat)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9f80>, <kernel.DependentProduct object at 0x21a9fc8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9cb0>, <kernel.DependentProduct object at 0x25b3098>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring size_size_list_int:(list_int->nat)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9d88>, <kernel.DependentProduct object at 0x25b30e0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring size_size_list_nat:(list_nat->nat)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9fc8>, <kernel.DependentProduct object at 0x25b3128>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Num__Onum_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring size_size_list_num:(list_num->nat)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9d88>, <kernel.DependentProduct object at 0x25b3170>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring size_s1515746228057227161od_o_o:(list_P4002435161011370285od_o_o->nat)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9d88>, <kernel.DependentProduct object at 0x25b3200>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring size_s2953683556165314199_o_int:(list_P3795440434834930179_o_int->nat)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x21a9fc8>, <kernel.DependentProduct object at 0x25b3290>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring size_s5443766701097040955_o_nat:(list_P6285523579766656935_o_nat->nat)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x25b31b8>, <kernel.DependentProduct object at 0x25b3320>) 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
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring size_s4313452262239582901T_VEBT:(list_P7495141550334521929T_VEBT->nat)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x25b3050>, <kernel.DependentProduct object at 0x25b33b0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_s6491369823275344609_nat_o:(list_P7333126701944960589_nat_o->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x25b3248>, <kernel.DependentProduct object at 0x25b3440>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_s5460976970255530739at_nat:(list_P6011104703257516679at_nat->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x25b30e0>, <kernel.DependentProduct object at 0x25b34d0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_s4762443039079500285T_VEBT:(list_P5647936690300460905T_VEBT->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x25b3248>, <kernel.DependentProduct object at 0x25b3560>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_s9168528473962070013VEBT_o:(list_P3126845725202233233VEBT_o->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x25b34d0>, <kernel.DependentProduct object at 0x25b35f0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_s3661962791536183091BT_int:(list_P4547456442757143711BT_int->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x25b3560>, <kernel.DependentProduct object at 0x25b3680>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_s6152045936467909847BT_nat:(list_P7037539587688870467BT_nat->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x25b35f0>, <kernel.DependentProduct object at 0x25b3710>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_s7466405169056248089T_VEBT:(list_P7413028617227757229T_VEBT->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x25b3638>, <kernel.DependentProduct object at 0x25b37a0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_size_list_real:(list_real->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x25b35f0>, <kernel.DependentProduct object at 0x25b37e8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x25b34d0>, <kernel.DependentProduct object at 0x25b3878>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_size_num:(num->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x25b3710>, <kernel.DependentProduct object at 0x25b38c0>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Nat__Onat_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_size_option_nat:(option_nat->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x25b3680>, <kernel.DependentProduct object at 0x25b3908>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_size_option_num:(option_num->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x25b3710>, <kernel.DependentProduct object at 0x25b3950>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x25b38c0>, <kernel.DependentProduct object at 0x25b39e0>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x25b32d8>, <kernel.DependentProduct object at 0x25b3a70>) of role type named sy_c_Nat__Bijection_Olist__encode
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring nat_list_encode:(list_nat->nat)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b3950>, <kernel.DependentProduct object at 0x25b3710>) of role type named sy_c_Nat__Bijection_Olist__encode__rel
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring nat_list_encode_rel:(list_nat->(list_nat->Prop))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b34d0>, <kernel.DependentProduct object at 0x25b39e0>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b3950>, <kernel.DependentProduct object at 0x25b34d0>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b35f0>, <kernel.DependentProduct object at 0x25b3bd8>) of role type named sy_c_Nat__Bijection_Oprod__encode
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring nat_prod_encode:(product_prod_nat_nat->nat)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b3a70>, <kernel.DependentProduct object at 0x25b3c20>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring nat_set_decode:(nat->set_nat)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b38c0>, <kernel.DependentProduct object at 0x25b3c68>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring nat_set_encode:(set_nat->nat)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b3998>, <kernel.DependentProduct object at 0x25b3cb0>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring nat_triangle:(nat->nat)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b3bd8>, <kernel.DependentProduct object at 0x25b39e0>) of role type named sy_c_NthRoot_Oroot
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring root:(nat->(real->real))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b3a70>, <kernel.DependentProduct object at 0x25b3cf8>) of role type named sy_c_NthRoot_Osqrt
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring sqrt:(real->real)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b3c20>, <kernel.DependentProduct object at 0x25b3cb0>) of role type named sy_c_Num_OBitM
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring bitM:(num->num)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b3998>, <kernel.DependentProduct object at 0x25b3d88>) of role type named sy_c_Num_Oinc
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring inc:(num->num)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b3c20>, <kernel.DependentProduct object at 0x25b3dd0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b3d88>, <kernel.DependentProduct object at 0x25b3e60>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b39e0>, <kernel.DependentProduct object at 0x25b3ef0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring neg_numeral_dbl_int:(int->int)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b3a70>, <kernel.DependentProduct object at 0x25b3f38>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b3e18>, <kernel.DependentProduct object at 0x25b3f80>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring neg_numeral_dbl_real:(real->real)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b3a70>, <kernel.DependentProduct object at 0x25b3fc8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b3f80>, <kernel.DependentProduct object at 0x2598098>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b3fc8>, <kernel.DependentProduct object at 0x2598128>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b3fc8>, <kernel.DependentProduct object at 0x25981b8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25b3a70>, <kernel.DependentProduct object at 0x2598248>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2598128>, <kernel.DependentProduct object at 0x25982d8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Code____Numeral__Ointeger
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring neg_nu5831290666863070958nteger:(code_integer->code_integer)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2598098>, <kernel.DependentProduct object at 0x2598368>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Complex__Ocomplex
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring neg_nu8557863876264182079omplex:(complex->complex)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25981b8>, <kernel.DependentProduct object at 0x25983f8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Int__Oint
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring neg_nu5851722552734809277nc_int:(int->int)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2598050>, <kernel.DependentProduct object at 0x2598488>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Rat__Orat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring neg_nu5219082963157363817nc_rat:(rat->rat)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25981b8>, <kernel.DependentProduct object at 0x2598518>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Real__Oreal
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring neg_nu8295874005876285629c_real:(real->real)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2598128>, <kernel.DependentProduct object at 0x2598488>) of role type named sy_c_Num_Oneg__numeral__class_Osub_001t__Int__Oint
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring neg_numeral_sub_int:(num->(num->int))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25985a8>, <kernel.DependentProduct object at 0x25985f0>) of role type named sy_c_Num_Onum_OBit0
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring bit0:(num->num)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25984d0>, <kernel.DependentProduct object at 0x2598440>) of role type named sy_c_Num_Onum_OBit1
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring bit1:(num->num)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2598518>, <kernel.Constant object at 0x2598440>) of role type named sy_c_Num_Onum_OOne
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring one:num
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25985f0>, <kernel.DependentProduct object at 0x2598758>) of role type named sy_c_Num_Onum_Ocase__num_001t__Option__Ooption_It__Num__Onum_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring case_num_option_num:(option_num->((num->option_num)->((num->option_num)->(num->option_num))))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2598710>, <kernel.DependentProduct object at 0x25986c8>) of role type named sy_c_Num_Onum_Osize__num
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring size_num:(num->nat)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25981b8>, <kernel.DependentProduct object at 0x25984d0>) of role type named sy_c_Num_Onum__of__nat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring num_of_nat:(nat->num)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2598710>, <kernel.DependentProduct object at 0x2598128>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x25984d0>, <kernel.DependentProduct object at 0x2598830>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring numera6690914467698888265omplex:(num->complex)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2598128>, <kernel.DependentProduct object at 0x25988c0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598440>, <kernel.DependentProduct object at 0x2598950>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring numeral_numeral_int:(num->int)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598878>, <kernel.DependentProduct object at 0x2598998>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring numeral_numeral_nat:(num->nat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598488>, <kernel.DependentProduct object at 0x25989e0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring numeral_numeral_rat:(num->rat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x25988c0>, <kernel.DependentProduct object at 0x2598a28>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring numeral_numeral_real:(num->real)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598950>, <kernel.DependentProduct object at 0x2598488>) of role type named sy_c_Num_Opow
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring pow:(num->(num->num))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598a70>, <kernel.DependentProduct object at 0x2598ab8>) of role type named sy_c_Num_Opred__numeral
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring pred_numeral:(num->nat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x25989e0>, <kernel.DependentProduct object at 0x2598998>) of role type named sy_c_Num_Osqr
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring sqr:(num->num)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598a28>, <kernel.Constant object at 0x2598998>) of role type named sy_c_Option_Ooption_ONone_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring none_nat:option_nat
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598ab8>, <kernel.Constant object at 0x2598998>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring none_num:option_num
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598a28>, <kernel.Constant object at 0x25988c0>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598b48>, <kernel.DependentProduct object at 0x2598c68>) of role type named sy_c_Option_Ooption_OSome_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring some_nat:(nat->option_nat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598950>, <kernel.DependentProduct object at 0x2598cb0>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring some_num:(num->option_num)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598b48>, <kernel.DependentProduct object at 0x2598950>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598cb0>, <kernel.DependentProduct object at 0x2598d88>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598dd0>, <kernel.DependentProduct object at 0x2598ea8>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Int__Oint_001t__Num__Onum
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring case_option_int_num:(int->((num->int)->(option_num->int)))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598e60>, <kernel.DependentProduct object at 0x2598ef0>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598dd0>, <kernel.DependentProduct object at 0x2598b48>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598f80>, <kernel.DependentProduct object at 0x2598cf8>) of role type named sy_c_Option_Ooption_Omap__option_001t__Num__Onum_001t__Num__Onum
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring map_option_num_num:((num->num)->(option_num->option_num))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598ef0>, <kernel.DependentProduct object at 0x2598f38>) of role type named sy_c_Option_Ooption_Osize__option_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring size_option_nat:((nat->nat)->(option_nat->nat))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598dd0>, <kernel.DependentProduct object at 0x2598fc8>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598ef0>, <kernel.DependentProduct object at 0x2598950>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598f80>, <kernel.DependentProduct object at 0x259c050>) of role type named sy_c_Option_Ooption_Othe_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring the_nat:(option_nat->nat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598b48>, <kernel.DependentProduct object at 0x259c128>) of role type named sy_c_Option_Ooption_Othe_001t__Num__Onum
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring the_num:(option_num->num)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598f80>, <kernel.DependentProduct object at 0x259c170>) of role type named sy_c_Option_Ooption_Othe_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring the_Pr8591224930841456533at_nat:(option4927543243414619207at_nat->product_prod_nat_nat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598f80>, <kernel.Constant object at 0x259c170>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Extended____Nat__Oenat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bo4199563552545308370d_enat:extended_enat
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598f38>, <kernel.Constant object at 0x259c128>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bot_nat:nat
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598f80>, <kernel.Constant object at 0x259c128>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bot_set_complex:set_complex
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598f38>, <kernel.Constant object at 0x259c128>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bot_set_int:set_int
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2598f38>, <kernel.Constant object at 0x259c128>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bot_set_nat:set_nat
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259c290>, <kernel.Constant object at 0x259c128>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Num__Onum_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bot_set_num:set_num
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259c1b8>, <kernel.Constant object at 0x259c2d8>) 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
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bo2099793752762293965at_nat:set_Pr1261947904930325089at_nat
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259c368>, <kernel.Constant object at 0x259c2d8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Rat__Orat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bot_set_rat:set_rat
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259c3b0>, <kernel.Constant object at 0x259c2d8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bot_set_real:set_real
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259c3f8>, <kernel.Constant object at 0x259c2d8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bot_set_set_nat:set_set_nat
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259c3b0>, <kernel.Constant object at 0x259c320>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bot_bo8194388402131092736T_VEBT:set_VEBT_VEBT
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259c2d8>, <kernel.DependentProduct object at 0x259c3b0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259c320>, <kernel.DependentProduct object at 0x259c2d8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259c638>, <kernel.DependentProduct object at 0x259c3b0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_int:(int->(int->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259c6c8>, <kernel.DependentProduct object at 0x259c320>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259c488>, <kernel.DependentProduct object at 0x259c638>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_num:(num->(num->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259c560>, <kernel.DependentProduct object at 0x259c6c8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259c2d8>, <kernel.DependentProduct object at 0x259c488>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_real:(real->(real->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259c560>, <kernel.DependentProduct object at 0x259c2d8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_le1307284697595431911nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259c320>, <kernel.DependentProduct object at 0x259c488>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259c8c0>, <kernel.DependentProduct object at 0x259c560>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259c6c8>, <kernel.DependentProduct object at 0x259c320>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259c3b0>, <kernel.DependentProduct object at 0x259c8c0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259c6c8>, <kernel.DependentProduct object at 0x259c560>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_le7866589430770878221at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259ca28>, <kernel.DependentProduct object at 0x259c8c0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x259ca70>, <kernel.DependentProduct object at 0x259c6c8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259c488>, <kernel.DependentProduct object at 0x259ca28>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_set_set_nat:(set_set_nat->(set_set_nat->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259ca70>, <kernel.DependentProduct object at 0x259c488>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_le3480810397992357184T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259ca28>, <kernel.DependentProduct object at 0x259ca70>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259c488>, <kernel.DependentProduct object at 0x259ca28>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259ca70>, <kernel.DependentProduct object at 0x259c488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_le2510731241096832064er_nat:(filter_nat->(filter_nat->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259ccf8>, <kernel.DependentProduct object at 0x259ca28>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259cd88>, <kernel.DependentProduct object at 0x259ca70>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259cbd8>, <kernel.DependentProduct object at 0x259ccf8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259cc68>, <kernel.DependentProduct object at 0x259cd88>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259c488>, <kernel.DependentProduct object at 0x259cbd8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259ca28>, <kernel.DependentProduct object at 0x259cc68>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_Eo_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_set_o:(set_o->(set_o->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259c488>, <kernel.DependentProduct object at 0x259ca28>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_le7084787975880047091nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259cc68>, <kernel.DependentProduct object at 0x259c488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259cfc8>, <kernel.DependentProduct object at 0x259f050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259c488>, <kernel.DependentProduct object at 0x259f128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259ca70>, <kernel.DependentProduct object at 0x259f170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Num__Onum_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_set_num:(set_num->(set_num->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259ca70>, <kernel.DependentProduct object at 0x259f170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_le3146513528884898305at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259c488>, <kernel.DependentProduct object at 0x259f098>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Rat__Orat_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_set_rat:(set_rat->(set_rat->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259ca70>, <kernel.DependentProduct object at 0x259f0e0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259f170>, <kernel.DependentProduct object at 0x259f2d8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_le6893508408891458716et_nat:(set_set_nat->(set_set_nat->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259f290>, <kernel.DependentProduct object at 0x259f248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259f320>, <kernel.DependentProduct object at 0x259f050>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Code____Numeral__Ointeger
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_max_Code_integer:(code_integer->(code_integer->code_integer))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259f290>, <kernel.DependentProduct object at 0x259f320>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Extended____Nat__Oenat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_ma741700101516333627d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259f440>, <kernel.DependentProduct object at 0x259f050>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_max_int:(int->(int->int))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259f3f8>, <kernel.DependentProduct object at 0x259f290>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_max_nat:(nat->(nat->nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259f518>, <kernel.DependentProduct object at 0x259f440>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Num__Onum
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_max_num:(num->(num->num))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259f368>, <kernel.DependentProduct object at 0x259f3f8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Rat__Orat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_max_rat:(rat->(rat->rat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259f3b0>, <kernel.DependentProduct object at 0x259f518>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Real__Oreal
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_max_real:(real->(real->real))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259f320>, <kernel.DependentProduct object at 0x259f368>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_max_set_nat:(set_nat->(set_nat->set_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259f3b0>, <kernel.DependentProduct object at 0x259f320>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Extended____Nat__Oenat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring ord_mi8085742599997312461d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x259f290>, <kernel.DependentProduct object at 0x259f368>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring ord_min_nat:(nat->(nat->nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259f050>, <kernel.DependentProduct object at 0x259f758>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring order_Greatest_nat:((nat->Prop)->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259f290>, <kernel.DependentProduct object at 0x259f3b0>) of role type named sy_c_Orderings_Oorder__class_Oantimono_001t__Nat__Onat_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring order_9091379641038594480t_real:((nat->real)->Prop)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259f4d0>, <kernel.DependentProduct object at 0x259f7e8>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259f7a0>, <kernel.DependentProduct object at 0x259f758>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring order_mono_nat_real:((nat->real)->Prop)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259f4d0>, <kernel.DependentProduct object at 0x259f290>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring order_5726023648592871131at_nat:((nat->nat)->Prop)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259f758>, <kernel.DependentProduct object at 0x259f908>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Real__Oreal_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring order_7092887310737990675l_real:((real->real)->Prop)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259f320>, <kernel.Constant object at 0x259f908>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_Eo_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring top_top_set_o:set_o
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259f878>, <kernel.Constant object at 0x259f908>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring top_top_set_nat:set_nat
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259f320>, <kernel.Constant object at 0x259f830>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Ounit_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring top_to1996260823553986621t_unit:set_Product_unit
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259f998>, <kernel.Constant object at 0x259f830>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring top_top_set_real:set_real
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259fa28>, <kernel.Constant object at 0x259f830>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring top_top_set_char:set_char
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259f998>, <kernel.DependentProduct object at 0x259fa28>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259fb90>, <kernel.DependentProduct object at 0x259f830>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring power_power_complex:(complex->(nat->complex))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259fa70>, <kernel.DependentProduct object at 0x259f998>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring power_power_int:(int->(nat->int))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259fc68>, <kernel.DependentProduct object at 0x259fb90>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring power_power_nat:(nat->(nat->nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259fab8>, <kernel.DependentProduct object at 0x259fa70>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring power_power_rat:(rat->(nat->rat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259fb00>, <kernel.DependentProduct object at 0x259fc68>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring power_power_real:(real->(nat->real))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259fab8>, <kernel.DependentProduct object at 0x259fb90>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring produc4035269172776083154on_nat:((nat->(nat->Prop))->(produc4953844613479565601on_nat->produc2233624965454879586on_nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259fc68>, <kernel.DependentProduct object at 0x259fa70>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring produc8929957630744042906on_nat:((nat->(nat->nat))->(produc4953844613479565601on_nat->produc8306885398267862888on_nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259fb90>, <kernel.DependentProduct object at 0x259f998>) of role type named sy_c_Product__Type_OPair_001_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring produc3576312749637752826on_num:((num->(num->Prop))->(produc3447558737645232053on_num->produc7036089656553540234on_num))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259fa70>, <kernel.DependentProduct object at 0x259fea8>) of role type named sy_c_Product__Type_OPair_001_062_It__Num__Onum_M_062_It__Num__Onum_Mt__Num__Onum_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring produc5778274026573060048on_num:((num->(num->num))->(produc3447558737645232053on_num->produc1193250871479095198on_num))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259f998>, <kernel.DependentProduct object at 0x259fef0>) of role type named sy_c_Product__Type_OPair_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring produc3994169339658061776at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(produc6121120109295599847at_nat->produc5491161045314408544at_nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259fea8>, <kernel.DependentProduct object at 0x25a2128>) of role type named sy_c_Product__Type_OPair_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring produc2899441246263362727at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(produc6121120109295599847at_nat->produc5542196010084753463at_nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259f998>, <kernel.DependentProduct object at 0x25a2128>) of role type named sy_c_Product__Type_OPair_001_Eo_001_Eo
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring product_Pair_o_o:(Prop->(Prop->product_prod_o_o))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259fef0>, <kernel.DependentProduct object at 0x259fea8>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Int__Oint
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring product_Pair_o_int:(Prop->(int->product_prod_o_int))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259f1b8>, <kernel.DependentProduct object at 0x25a21b8>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring product_Pair_o_nat:(Prop->(nat->product_prod_o_nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x259fea8>, <kernel.DependentProduct object at 0x25a21b8>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc2982872950893828659T_VEBT:(Prop->(vEBT_VEBT->produc2504756804600209347T_VEBT))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2200>, <kernel.DependentProduct object at 0x25a22d8>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2290>, <kernel.DependentProduct object at 0x25a2128>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x259fef0>, <kernel.DependentProduct object at 0x25a2248>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2320>, <kernel.DependentProduct object at 0x25a2368>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a23f8>, <kernel.DependentProduct object at 0x25a2290>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Num__Onum
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring product_Pair_nat_num:(nat->(num->product_prod_nat_num))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a21b8>, <kernel.DependentProduct object at 0x25a2320>) of role type named sy_c_Product__Type_OPair_001t__Num__Onum_001t__Num__Onum
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring product_Pair_num_num:(num->(num->product_prod_num_num))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a23f8>, <kernel.DependentProduct object at 0x25a21b8>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Nat__Onat_J_001t__Option__Ooption_It__Nat__Onat_J
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc5098337634421038937on_nat:(option_nat->(option_nat->produc4953844613479565601on_nat))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2320>, <kernel.DependentProduct object at 0x25a23f8>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Num__Onum_J_001t__Option__Ooption_It__Num__Onum_J
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc8585076106096196333on_num:(option_num->(option_num->produc3447558737645232053on_num))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a21b8>, <kernel.DependentProduct object at 0x25a2098>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc488173922507101015at_nat:(option4927543243414619207at_nat->(option4927543243414619207at_nat->produc6121120109295599847at_nat))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a23f8>, <kernel.DependentProduct object at 0x25a26c8>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2098>, <kernel.DependentProduct object at 0x25a23f8>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc736041933913180425BT_int:(vEBT_VEBT->(int->produc4894624898956917775BT_int))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a26c8>, <kernel.DependentProduct object at 0x25a2098>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a23f8>, <kernel.DependentProduct object at 0x25a26c8>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2098>, <kernel.DependentProduct object at 0x25a2950>) of role type named sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Nat__Onat
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc457027306803732586at_nat:(set_nat->((nat->set_nat)->set_Pr1261947904930325089at_nat))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a26c8>, <kernel.DependentProduct object at 0x25a2758>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2950>, <kernel.DependentProduct object at 0x25a2710>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2758>, <kernel.DependentProduct object at 0x25a29e0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2710>, <kernel.DependentProduct object at 0x25a27e8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc7336495610019696514er_num:((code_integer->(code_integer->num))->(produc8923325533196201883nteger->num))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a29e0>, <kernel.DependentProduct object at 0x25a2998>) 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
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a27e8>, <kernel.DependentProduct object at 0x25a2908>) 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
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2998>, <kernel.DependentProduct object at 0x25a2878>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Complex__Ocomplex_001t__Complex__Ocomplex_001_Eo
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc6771430404735790350plex_o:((complex->(complex->Prop))->(produc4411394909380815293omplex->Prop))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2908>, <kernel.DependentProduct object at 0x25a2d40>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc8211389475949308722nt_int:((int->(int->int))->(product_prod_int_int->int))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2878>, <kernel.DependentProduct object at 0x25a2a28>) 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
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2d40>, <kernel.DependentProduct object at 0x25a2ea8>) 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
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc8739625826339149834_nat_o:((nat->(nat->(product_prod_nat_nat->Prop)))->(product_prod_nat_nat->(product_prod_nat_nat->Prop)))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2a28>, <kernel.DependentProduct object at 0x25a2f38>) 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
% 0.59/0.81 Using role type
% 0.59/0.81 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)))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2ea8>, <kernel.DependentProduct object at 0x25a2c20>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2f38>, <kernel.DependentProduct object at 0x25a2fc8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc1917071388513777916omplex:((nat->(nat->complex))->(product_prod_nat_nat->complex))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2c20>, <kernel.DependentProduct object at 0x25a2f38>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc6840382203811409530at_int:((nat->(nat->int))->(product_prod_nat_nat->int))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2c20>, <kernel.DependentProduct object at 0x25a4128>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc6842872674320459806at_nat:((nat->(nat->nat))->(product_prod_nat_nat->nat))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2c20>, <kernel.DependentProduct object at 0x25a4170>) 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
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a2ea8>, <kernel.DependentProduct object at 0x25a4050>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Rat__Orat
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc6207742614233964070at_rat:((nat->(nat->rat))->(product_prod_nat_nat->rat))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a41b8>, <kernel.DependentProduct object at 0x25a4098>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Real__Oreal
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc1703576794950452218t_real:((nat->(nat->real))->(product_prod_nat_nat->real))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a43b0>, <kernel.DependentProduct object at 0x25a4320>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Option__Ooption_It__Num__Onum_J
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc478579273971653890on_num:((nat->(num->option_num))->(product_prod_nat_num->option_num))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a4050>, <kernel.DependentProduct object at 0x25a4128>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Real__Oreal_001t__Real__Oreal_001_Eo
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring produc5414030515140494994real_o:((real->(real->Prop))->(produc2422161461964618553l_real->Prop))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a43b0>, <kernel.DependentProduct object at 0x25a44d0>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x25a4128>, <kernel.DependentProduct object at 0x25a4518>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4368>, <kernel.DependentProduct object at 0x25a4560>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4050>, <kernel.DependentProduct object at 0x25a45a8>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a44d0>, <kernel.DependentProduct object at 0x25a4368>) of role type named sy_c_Rat_OFract
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring fract:(int->(int->rat))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a45f0>, <kernel.DependentProduct object at 0x25a4638>) of role type named sy_c_Rat_OFrct
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring frct:(product_prod_int_int->rat)
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a44d0>, <kernel.Constant object at 0x25a45a8>) of role type named sy_c_Rat_Ofield__char__0__class_ORats_001t__Real__Oreal
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring field_5140801741446780682s_real:set_real
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4368>, <kernel.DependentProduct object at 0x25a4710>) of role type named sy_c_Rat_Onormalize
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4560>, <kernel.DependentProduct object at 0x25a4758>) of role type named sy_c_Rat_Oof__int
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring of_int:(int->rat)
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4050>, <kernel.DependentProduct object at 0x25a47a0>) of role type named sy_c_Rat_Oquotient__of
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring quotient_of:(rat->product_prod_int_int)
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4560>, <kernel.Constant object at 0x25a4710>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Complex__Ocomplex
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring real_V2521375963428798218omplex:set_complex
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a47a0>, <kernel.DependentProduct object at 0x25a4830>) of role type named sy_c_Real__Vector__Spaces_Obounded__linear_001t__Real__Oreal_001t__Real__Oreal
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring real_V5970128139526366754l_real:((real->real)->Prop)
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4710>, <kernel.DependentProduct object at 0x25a47a0>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Complex__Ocomplex
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring real_V3694042436643373181omplex:(complex->(complex->real))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4830>, <kernel.DependentProduct object at 0x25a4710>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Real__Oreal
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring real_V975177566351809787t_real:(real->(real->real))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a47a0>, <kernel.DependentProduct object at 0x25a4908>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4710>, <kernel.DependentProduct object at 0x25a4ab8>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring real_V7735802525324610683m_real:(real->real)
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4908>, <kernel.DependentProduct object at 0x25a4b48>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4ab8>, <kernel.DependentProduct object at 0x25a4bd8>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Real__Oreal
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring real_V1803761363581548252l_real:(real->real)
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4b48>, <kernel.DependentProduct object at 0x25a4ab8>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Complex__Ocomplex
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring real_V2046097035970521341omplex:(real->(complex->complex))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4bd8>, <kernel.DependentProduct object at 0x25a4b48>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Real__Oreal
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring real_V1485227260804924795R_real:(real->(real->real))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4ab8>, <kernel.DependentProduct object at 0x25a4bd8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4b48>, <kernel.DependentProduct object at 0x25a4ab8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4758>, <kernel.DependentProduct object at 0x25a4bd8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring divide_divide_int:(int->(int->int))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4c68>, <kernel.DependentProduct object at 0x25a4b48>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4ef0>, <kernel.DependentProduct object at 0x25a4758>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4d88>, <kernel.DependentProduct object at 0x25a4c68>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring divide_divide_real:(real->(real->real))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4e18>, <kernel.DependentProduct object at 0x25a4ef0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4ea8>, <kernel.DependentProduct object at 0x25a4d88>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4b48>, <kernel.DependentProduct object at 0x25b6098>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4758>, <kernel.DependentProduct object at 0x25b60e0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4ef0>, <kernel.DependentProduct object at 0x25b6128>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4d88>, <kernel.DependentProduct object at 0x25b6170>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4d88>, <kernel.DependentProduct object at 0x25b61b8>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4ef0>, <kernel.DependentProduct object at 0x25b6200>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring modulo_modulo_int:(int->(int->int))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25a4d88>, <kernel.DependentProduct object at 0x25b6098>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.59/0.82 Using role type
% 0.59/0.82 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.59/0.82 FOF formula (<kernel.Constant object at 0x25b6290>, <kernel.DependentProduct object at 0x25b6320>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6098>, <kernel.DependentProduct object at 0x25b6128>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6320>, <kernel.DependentProduct object at 0x25b63b0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6128>, <kernel.DependentProduct object at 0x25b6440>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b63b0>, <kernel.DependentProduct object at 0x25b64d0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6440>, <kernel.DependentProduct object at 0x25b6560>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25a4ef0>, <kernel.DependentProduct object at 0x25b64d0>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring suminf_complex:((nat->complex)->complex)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6518>, <kernel.DependentProduct object at 0x25b6440>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring suminf_int:((nat->int)->int)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b65a8>, <kernel.DependentProduct object at 0x25b64d0>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring suminf_nat:((nat->nat)->nat)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6680>, <kernel.DependentProduct object at 0x25b62d8>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring suminf_real:((nat->real)->real)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6710>, <kernel.DependentProduct object at 0x25b64d0>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring summable_complex:((nat->complex)->Prop)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b66c8>, <kernel.DependentProduct object at 0x25b6518>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring summable_int:((nat->int)->Prop)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b65f0>, <kernel.DependentProduct object at 0x25b6680>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring summable_nat:((nat->nat)->Prop)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6758>, <kernel.DependentProduct object at 0x25b6710>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring summable_real:((nat->real)->Prop)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b67a0>, <kernel.DependentProduct object at 0x25b67e8>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b63b0>, <kernel.DependentProduct object at 0x25b6878>) of role type named sy_c_Series_Osums_001t__Int__Oint
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring sums_int:((nat->int)->(int->Prop))
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6710>, <kernel.DependentProduct object at 0x25b6680>) of role type named sy_c_Series_Osums_001t__Nat__Onat
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring sums_nat:((nat->nat)->(nat->Prop))
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6830>, <kernel.DependentProduct object at 0x25b6908>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring sums_real:((nat->real)->(real->Prop))
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6680>, <kernel.DependentProduct object at 0x25b69e0>) of role type named sy_c_Set_OCollect_001t__Code____Numeral__Ointeger
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring collect_Code_integer:((code_integer->Prop)->set_Code_integer)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6908>, <kernel.DependentProduct object at 0x25b63b0>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6878>, <kernel.DependentProduct object at 0x25b6a70>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring collect_int:((int->Prop)->set_int)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6758>, <kernel.DependentProduct object at 0x25b6908>) of role type named sy_c_Set_OCollect_001t__List__Olist_I_Eo_J
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring collect_list_o:((list_o->Prop)->set_list_o)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6a70>, <kernel.DependentProduct object at 0x25b6ab8>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Complex__Ocomplex_J
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring collect_list_complex:((list_complex->Prop)->set_list_complex)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b67e8>, <kernel.DependentProduct object at 0x25b6b00>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Int__Oint_J
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring collect_list_int:((list_int->Prop)->set_list_int)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6710>, <kernel.DependentProduct object at 0x25b6b48>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b67e8>, <kernel.DependentProduct object at 0x25b6b90>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring collec5608196760682091941T_VEBT:((list_VEBT_VEBT->Prop)->set_list_VEBT_VEBT)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b67a0>, <kernel.DependentProduct object at 0x25b6c68>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6680>, <kernel.DependentProduct object at 0x25b6cb0>) of role type named sy_c_Set_OCollect_001t__Num__Onum
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring collect_num:((num->Prop)->set_num)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6b48>, <kernel.DependentProduct object at 0x25b67a0>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring collec8663557070575231912omplex:((produc4411394909380815293omplex->Prop)->set_Pr5085853215250843933omplex)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6680>, <kernel.DependentProduct object at 0x25b6b48>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring collec3392354462482085612at_nat:((product_prod_nat_nat->Prop)->set_Pr1261947904930325089at_nat)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b67a0>, <kernel.DependentProduct object at 0x25b6680>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring collec3799799289383736868l_real:((produc2422161461964618553l_real->Prop)->set_Pr6218003697084177305l_real)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6a28>, <kernel.DependentProduct object at 0x25b6ea8>) of role type named sy_c_Set_OCollect_001t__Rat__Orat
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring collect_rat:((rat->Prop)->set_rat)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6710>, <kernel.DependentProduct object at 0x25b6ef0>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring collect_real:((real->Prop)->set_real)
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6c20>, <kernel.DependentProduct object at 0x25b6ef0>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.59/0.83 Using role type
% 0.59/0.83 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.59/0.83 FOF formula (<kernel.Constant object at 0x25b6b48>, <kernel.DependentProduct object at 0x25b6e60>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b6a28>, <kernel.DependentProduct object at 0x25b6680>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Real__Oreal
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring image_nat_real:((nat->real)->(set_nat->set_real))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b6c20>, <kernel.DependentProduct object at 0x25b6f38>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b6a28>, <kernel.DependentProduct object at 0x25b6b48>) 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
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring image_5971271580939081552omplex:((real->filter6041513312241820739omplex)->(set_real->set_fi4554929511873752355omplex))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b6f38>, <kernel.DependentProduct object at 0x25b90e0>) 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
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring image_2178119161166701260l_real:((real->filter2146258269922977983l_real)->(set_real->set_fi7789364187291644575l_real))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b6a28>, <kernel.DependentProduct object at 0x25b9098>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b6b48>, <kernel.DependentProduct object at 0x25b9098>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b6f38>, <kernel.DependentProduct object at 0x25b9098>) of role type named sy_c_Set_Oimage_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring image_VEBT_VEBT_nat:((vEBT_VEBT->nat)->(set_VEBT_VEBT->set_nat))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b6b48>, <kernel.DependentProduct object at 0x25b9200>) of role type named sy_c_Set_Oinsert_001t__Complex__Ocomplex
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring insert_complex:(complex->(set_complex->set_complex))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b6b48>, <kernel.DependentProduct object at 0x25b9248>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring insert_int:(int->(set_int->set_int))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9098>, <kernel.DependentProduct object at 0x25b90e0>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9050>, <kernel.DependentProduct object at 0x25b9200>) of role type named sy_c_Set_Oinsert_001t__Num__Onum
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring insert_num:(num->(set_num->set_num))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9290>, <kernel.DependentProduct object at 0x25b90e0>) of role type named sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring insert8211810215607154385at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9320>, <kernel.DependentProduct object at 0x25b9290>) of role type named sy_c_Set_Oinsert_001t__Rat__Orat
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring insert_rat:(rat->(set_rat->set_rat))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b91b8>, <kernel.DependentProduct object at 0x25b90e0>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring insert_real:(real->(set_real->set_real))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9488>, <kernel.DependentProduct object at 0x25b9050>) of role type named sy_c_Set_Oinsert_001t__VEBT____Definitions__OVEBT
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring insert_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9320>, <kernel.DependentProduct object at 0x25b92d8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Complex__Ocomplex
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_fo1517530859248394432omplex:((nat->(complex->complex))->(nat->(nat->(complex->complex))))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9050>, <kernel.DependentProduct object at 0x25b9248>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Int__Oint
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_fo2581907887559384638at_int:((nat->(int->int))->(nat->(nat->(int->int))))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b92d8>, <kernel.DependentProduct object at 0x25b9128>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9248>, <kernel.DependentProduct object at 0x25b9488>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Rat__Orat
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_fo1949268297981939178at_rat:((nat->(rat->rat))->(nat->(nat->(rat->rat))))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9128>, <kernel.DependentProduct object at 0x25b9638>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Real__Oreal
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_fo3111899725591712190t_real:((nat->(real->real))->(nat->(nat->(real->real))))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9488>, <kernel.DependentProduct object at 0x25b9128>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9638>, <kernel.DependentProduct object at 0x25b9488>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9128>, <kernel.DependentProduct object at 0x25b9638>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9488>, <kernel.DependentProduct object at 0x25b9128>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9638>, <kernel.DependentProduct object at 0x25b9488>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9128>, <kernel.DependentProduct object at 0x25b9638>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_or4548717258645045905et_nat:(set_nat->(set_nat->set_set_nat))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9488>, <kernel.DependentProduct object at 0x25b9128>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9638>, <kernel.DependentProduct object at 0x25b9488>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b90e0>, <kernel.DependentProduct object at 0x25b96c8>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9b00>, <kernel.DependentProduct object at 0x25b9c68>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Real__Oreal
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_ord_atLeast_real:(real->set_real)
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9b90>, <kernel.DependentProduct object at 0x25b9cb0>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9b00>, <kernel.DependentProduct object at 0x25b9b90>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9cb0>, <kernel.DependentProduct object at 0x25b9b00>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9b90>, <kernel.DependentProduct object at 0x25b9cb0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9b00>, <kernel.DependentProduct object at 0x25b9b90>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9cb0>, <kernel.DependentProduct object at 0x25b9b00>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9b90>, <kernel.DependentProduct object at 0x25b9488>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9b00>, <kernel.DependentProduct object at 0x25bb098>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9cf8>, <kernel.DependentProduct object at 0x25bb128>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Int__Oint
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_ord_lessThan_int:(int->set_int)
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9b90>, <kernel.DependentProduct object at 0x25bb170>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9b00>, <kernel.DependentProduct object at 0x25bb1b8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Num__Onum
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_ord_lessThan_num:(num->set_num)
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9cf8>, <kernel.DependentProduct object at 0x25bb200>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Rat__Orat
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_ord_lessThan_rat:(rat->set_rat)
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25bb098>, <kernel.DependentProduct object at 0x25bb248>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9b90>, <kernel.DependentProduct object at 0x25bb2d8>) of role type named sy_c_String_Oascii__of
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring ascii_of:(char->char)
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25b9b90>, <kernel.DependentProduct object at 0x25bb320>) of role type named sy_c_String_Ochar_OChar
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring char2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->char))))))))
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25bb248>, <kernel.DependentProduct object at 0x25bb3f8>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.59/0.84 FOF formula (<kernel.Constant object at 0x25bb0e0>, <kernel.DependentProduct object at 0x25bb488>) of role type named sy_c_String_Ointeger__of__char
% 0.59/0.84 Using role type
% 0.59/0.84 Declaring integer_of_char:(char->code_integer)
% 0.59/0.85 FOF formula (<kernel.Constant object at 0x25bb320>, <kernel.DependentProduct object at 0x25bb248>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.59/0.85 Using role type
% 0.59/0.85 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.59/0.85 FOF formula (<kernel.Constant object at 0x25bb0e0>, <kernel.DependentProduct object at 0x25bb560>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.59/0.85 Using role type
% 0.59/0.85 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.59/0.85 FOF formula (<kernel.Constant object at 0x25bb248>, <kernel.DependentProduct object at 0x25bb5f0>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Real__Oreal_001t__Real__Oreal
% 0.59/0.85 Using role type
% 0.59/0.85 Declaring topolo5044208981011980120l_real:(set_real->((real->real)->Prop))
% 0.59/0.85 FOF formula (<kernel.Constant object at 0x25bb560>, <kernel.DependentProduct object at 0x25bb0e0>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Int__Oint
% 0.59/0.85 Using role type
% 0.59/0.85 Declaring topolo4899668324122417113eq_int:((nat->int)->Prop)
% 0.59/0.85 FOF formula (<kernel.Constant object at 0x25bb5f0>, <kernel.DependentProduct object at 0x25bb638>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Nat__Onat
% 0.59/0.85 Using role type
% 0.59/0.85 Declaring topolo4902158794631467389eq_nat:((nat->nat)->Prop)
% 0.59/0.85 FOF formula (<kernel.Constant object at 0x25bb0e0>, <kernel.DependentProduct object at 0x25bb6c8>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Num__Onum
% 0.59/0.85 Using role type
% 0.59/0.85 Declaring topolo1459490580787246023eq_num:((nat->num)->Prop)
% 0.59/0.85 FOF formula (<kernel.Constant object at 0x25bb638>, <kernel.DependentProduct object at 0x25bb758>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Rat__Orat
% 0.59/0.85 Using role type
% 0.59/0.85 Declaring topolo4267028734544971653eq_rat:((nat->rat)->Prop)
% 0.59/0.85 FOF formula (<kernel.Constant object at 0x25bb6c8>, <kernel.DependentProduct object at 0x25bb7e8>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.59/0.85 Using role type
% 0.59/0.85 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.59/0.85 FOF formula (<kernel.Constant object at 0x25bb758>, <kernel.DependentProduct object at 0x25bb878>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.85 Using role type
% 0.59/0.85 Declaring topolo7278393974255667507et_nat:((nat->set_nat)->Prop)
% 0.59/0.85 FOF formula (<kernel.Constant object at 0x25bb7e8>, <kernel.DependentProduct object at 0x25bb758>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.59/0.85 Using role type
% 0.59/0.85 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.59/0.85 FOF formula (<kernel.Constant object at 0x25bb878>, <kernel.DependentProduct object at 0x25bb3b0>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.59/0.85 Using role type
% 0.59/0.85 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.59/0.85 FOF formula (<kernel.Constant object at 0x25bb758>, <kernel.DependentProduct object at 0x25bba28>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.59/0.85 Using role type
% 0.59/0.85 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.59/0.85 FOF formula (<kernel.Constant object at 0x25bb3b0>, <kernel.Constant object at 0x25bb950>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Complex__Ocomplex
% 0.59/0.85 Using role type
% 0.59/0.85 Declaring topolo896644834953643431omplex:filter6041513312241820739omplex
% 0.59/0.85 FOF formula (<kernel.Constant object at 0x25bba28>, <kernel.Constant object at 0x25bb878>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Real__Oreal
% 0.59/0.85 Using role type
% 0.59/0.85 Declaring topolo1511823702728130853y_real:filter2146258269922977983l_real
% 0.59/0.85 FOF formula (<kernel.Constant object at 0x25bbb00>, <kernel.DependentProduct object at 0x25bbc20>) of role type named sy_c_Transcendental_Oarccos
% 0.59/0.85 Using role type
% 0.59/0.85 Declaring arccos:(real->real)
% 0.59/0.85 FOF formula (<kernel.Constant object at 0x25bbab8>, <kernel.DependentProduct object at 0x25bbc68>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring arcosh_real:(real->real)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bbb48>, <kernel.DependentProduct object at 0x25bbcb0>) of role type named sy_c_Transcendental_Oarcsin
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring arcsin:(real->real)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bb878>, <kernel.DependentProduct object at 0x25bbcf8>) of role type named sy_c_Transcendental_Oarctan
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring arctan:(real->real)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bbc20>, <kernel.DependentProduct object at 0x25bbd40>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring arsinh_real:(real->real)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bbc68>, <kernel.DependentProduct object at 0x25bbd88>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring artanh_real:(real->real)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bbcb0>, <kernel.DependentProduct object at 0x25bbdd0>) of role type named sy_c_Transcendental_Ocos_001t__Complex__Ocomplex
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring cos_complex:(complex->complex)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bbcf8>, <kernel.DependentProduct object at 0x25bbe18>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring cos_real:(real->real)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bb290>, <kernel.DependentProduct object at 0x25bbea8>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring cos_coeff:(nat->real)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bbdd0>, <kernel.DependentProduct object at 0x25bbcf8>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring cosh_real:(real->real)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bbea8>, <kernel.DependentProduct object at 0x25bbef0>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring cot_real:(real->real)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bbc20>, <kernel.DependentProduct object at 0x25bb290>) of role type named sy_c_Transcendental_Odiffs_001t__Complex__Ocomplex
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring diffs_complex:((nat->complex)->(nat->complex))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bbdd0>, <kernel.DependentProduct object at 0x25bbcf8>) of role type named sy_c_Transcendental_Odiffs_001t__Int__Oint
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring diffs_int:((nat->int)->(nat->int))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bbea8>, <kernel.DependentProduct object at 0x25bbf38>) of role type named sy_c_Transcendental_Odiffs_001t__Rat__Orat
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring diffs_rat:((nat->rat)->(nat->rat))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bbc20>, <kernel.DependentProduct object at 0x25bbf80>) of role type named sy_c_Transcendental_Odiffs_001t__Real__Oreal
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring diffs_real:((nat->real)->(nat->real))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bbdd0>, <kernel.DependentProduct object at 0x25be0e0>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring exp_complex:(complex->complex)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bbef0>, <kernel.DependentProduct object at 0x25be050>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring exp_real:(real->real)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bbf80>, <kernel.DependentProduct object at 0x25be128>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ln_ln_real:(real->real)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bbc20>, <kernel.DependentProduct object at 0x25be098>) of role type named sy_c_Transcendental_Olog
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring log:(real->(real->real))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bbef0>, <kernel.Constant object at 0x25be170>) of role type named sy_c_Transcendental_Opi
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring pi:real
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bbf80>, <kernel.DependentProduct object at 0x25be1b8>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring powr_real:(real->(real->real))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bbef0>, <kernel.DependentProduct object at 0x25be248>) of role type named sy_c_Transcendental_Osin_001t__Complex__Ocomplex
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring sin_complex:(complex->complex)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25bbf80>, <kernel.DependentProduct object at 0x25be170>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring sin_real:(real->real)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25be0e0>, <kernel.DependentProduct object at 0x25be320>) of role type named sy_c_Transcendental_Osin__coeff
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring sin_coeff:(nat->real)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25be248>, <kernel.DependentProduct object at 0x25be128>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring sinh_real:(real->real)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25be320>, <kernel.DependentProduct object at 0x25be368>) of role type named sy_c_Transcendental_Otan_001t__Complex__Ocomplex
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring tan_complex:(complex->complex)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25be098>, <kernel.DependentProduct object at 0x25be3b0>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring tan_real:(real->real)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25be0e0>, <kernel.DependentProduct object at 0x25be3f8>) of role type named sy_c_Transcendental_Otanh_001t__Complex__Ocomplex
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring tanh_complex:(complex->complex)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25be128>, <kernel.DependentProduct object at 0x25be440>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring tanh_real:(real->real)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25be0e0>, <kernel.DependentProduct object at 0x25be128>) of role type named sy_c_Transitive__Closure_Ortrancl_001t__Nat__Onat
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring transi2905341329935302413cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25be440>, <kernel.DependentProduct object at 0x25be0e0>) of role type named sy_c_Transitive__Closure_Otrancl_001t__Nat__Onat
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring transi6264000038957366511cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25be098>, <kernel.DependentProduct object at 0x25be128>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring vEBT_T_i_n_s_e_r_t:(vEBT_VEBT->(nat->nat))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25be5a8>, <kernel.DependentProduct object at 0x25be440>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t_H
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring vEBT_T_i_n_s_e_r_t2:(vEBT_VEBT->(nat->nat))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25be098>, <kernel.DependentProduct object at 0x25be0e0>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t_H__rel
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring vEBT_T5076183648494686801_t_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25be440>, <kernel.DependentProduct object at 0x25be320>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t__rel
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring vEBT_T9217963907923527482_t_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25be5a8>, <kernel.DependentProduct object at 0x25be758>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062a_092_060_094sub_062x_092_060_094sub_062t
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring vEBT_T_m_a_x_t:(vEBT_VEBT->nat)
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x25be4d0>, <kernel.DependentProduct object at 0x25be440>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062a_092_060_094sub_062x_092_060_094sub_062t__rel
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_T_m_a_x_t_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25be098>, <kernel.DependentProduct object at 0x25be5a8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_T_m_e_m_b_e_r:(vEBT_VEBT->(nat->nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25be7a0>, <kernel.DependentProduct object at 0x25be4d0>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r_H
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_T_m_e_m_b_e_r2:(vEBT_VEBT->(nat->nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25be098>, <kernel.DependentProduct object at 0x25be440>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r_H__rel
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_T8099345112685741742_r_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25be4d0>, <kernel.DependentProduct object at 0x25be128>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r__rel
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_T5837161174952499735_r_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25be7a0>, <kernel.DependentProduct object at 0x25be998>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062N_092_060_094sub_062u_092_060_094sub_062l_092_060_094sub_062l
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_T_m_i_n_N_u_l_l:(vEBT_VEBT->nat)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25be4d0>, <kernel.DependentProduct object at 0x25be7a0>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062N_092_060_094sub_062u_092_060_094sub_062l_092_060_094sub_062l__rel
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_T5462971552011256508_l_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25be098>, <kernel.DependentProduct object at 0x25bea70>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062t
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_T_m_i_n_t:(vEBT_VEBT->nat)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25be128>, <kernel.DependentProduct object at 0x25be4d0>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062t__rel
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_T_m_i_n_t_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25be9e0>, <kernel.DependentProduct object at 0x25be098>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062p_092_060_094sub_062r_092_060_094sub_062e_092_060_094sub_062d
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_T_p_r_e_d:(vEBT_VEBT->(nat->nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25beab8>, <kernel.DependentProduct object at 0x25be128>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062p_092_060_094sub_062r_092_060_094sub_062e_092_060_094sub_062d_H
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_T_p_r_e_d2:(vEBT_VEBT->(nat->nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25beb48>, <kernel.DependentProduct object at 0x25be128>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062p_092_060_094sub_062r_092_060_094sub_062e_092_060_094sub_062d_H__rel
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_T_p_r_e_d_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25bebd8>, <kernel.DependentProduct object at 0x25be128>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062p_092_060_094sub_062r_092_060_094sub_062e_092_060_094sub_062d__rel
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_T_p_r_e_d_rel2:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25bea70>, <kernel.DependentProduct object at 0x25beb48>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_T_s_u_c_c:(vEBT_VEBT->(nat->nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25beab8>, <kernel.DependentProduct object at 0x25bebd8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c_H
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_T_s_u_c_c2:(vEBT_VEBT->(nat->nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25bec68>, <kernel.DependentProduct object at 0x25bebd8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c_H__rel
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_T_s_u_c_c_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25becf8>, <kernel.DependentProduct object at 0x25bebd8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c__rel
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_T_s_u_c_c_rel2:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25be290>, <kernel.DependentProduct object at 0x25beab8>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25be9e0>, <kernel.DependentProduct object at 0x25bebd8>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25bee18>, <kernel.DependentProduct object at 0x25becf8>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25be290>, <kernel.DependentProduct object at 0x25bee18>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25beea8>, <kernel.DependentProduct object at 0x25becf8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25be290>, <kernel.DependentProduct object at 0x25beea8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25be9e0>, <kernel.DependentProduct object at 0x25becf8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25befc8>, <kernel.DependentProduct object at 0x25be290>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25be9e0>, <kernel.DependentProduct object at 0x25beea8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25be290>, <kernel.DependentProduct object at 0x25c1050>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25beea8>, <kernel.DependentProduct object at 0x25c1098>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25be290>, <kernel.DependentProduct object at 0x25c10e0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25becf8>, <kernel.DependentProduct object at 0x25c11b8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25becf8>, <kernel.DependentProduct object at 0x25c1248>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25becf8>, <kernel.DependentProduct object at 0x25c12d8>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25becf8>, <kernel.DependentProduct object at 0x25c1098>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25c10e0>, <kernel.DependentProduct object at 0x25c1290>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25c1320>, <kernel.DependentProduct object at 0x25c1098>) of role type named sy_c_VEBT__DeleteBounds_OT_092_060_094sub_062d_092_060_094sub_062e_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062t_092_060_094sub_062e
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_T_d_e_l_e_t_e:(vEBT_VEBT->(nat->nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25c10e0>, <kernel.DependentProduct object at 0x25c12d8>) of role type named sy_c_VEBT__DeleteBounds_OT_092_060_094sub_062d_092_060_094sub_062e_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062t_092_060_094sub_062e__rel
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_T8441311223069195367_e_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25c1098>, <kernel.DependentProduct object at 0x25c10e0>) of role type named sy_c_VEBT__DeleteBounds_OVEBT__internal_OT_092_060_094sub_062d_092_060_094sub_062e_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062t_092_060_094sub_062e_H
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_V1232361888498592333_e_t_e:(vEBT_VEBT->(nat->nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25c12d8>, <kernel.DependentProduct object at 0x25c1290>) of role type named sy_c_VEBT__DeleteBounds_OVEBT__internal_OT_092_060_094sub_062d_092_060_094sub_062e_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062t_092_060_094sub_062e_H__rel
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_V6368547301243506412_e_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25c1200>, <kernel.DependentProduct object at 0x25c12d8>) of role type named sy_c_VEBT__Delete_Ovebt__delete
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_vebt_delete:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25c1638>, <kernel.DependentProduct object at 0x25c1200>) of role type named sy_c_VEBT__Delete_Ovebt__delete__rel
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_vebt_delete_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25c1098>, <kernel.DependentProduct object at 0x25c10e0>) of role type named sy_c_VEBT__Height_OVEBT__internal_Oheight
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_VEBT_height:(vEBT_VEBT->nat)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25c1560>, <kernel.DependentProduct object at 0x25c1638>) of role type named sy_c_VEBT__Height_OVEBT__internal_Oheight__rel
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vEBT_VEBT_height_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x25c1518>, <kernel.DependentProduct object at 0x25c1560>) of role type named sy_c_VEBT__Insert_Ovebt__insert
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_vebt_insert:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1758>, <kernel.DependentProduct object at 0x25c1518>) of role type named sy_c_VEBT__Insert_Ovebt__insert__rel
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_vebt_insert_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1710>, <kernel.DependentProduct object at 0x25c1638>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c10e0>, <kernel.DependentProduct object at 0x25c1200>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1710>, <kernel.DependentProduct object at 0x25c10e0>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull__rel
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_V6963167321098673237ll_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1830>, <kernel.DependentProduct object at 0x25c16c8>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1680>, <kernel.DependentProduct object at 0x25c1830>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1200>, <kernel.DependentProduct object at 0x25c1680>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c10e0>, <kernel.DependentProduct object at 0x25c16c8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oadd
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_VEBT_add:(option_nat->(option_nat->option_nat))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1710>, <kernel.DependentProduct object at 0x25c1200>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ogreater
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_VEBT_greater:(option_nat->(option_nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c18c0>, <kernel.DependentProduct object at 0x25c10e0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oless
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_VEBT_less:(option_nat->(option_nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1998>, <kernel.DependentProduct object at 0x25c1710>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Olesseq
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_VEBT_lesseq:(option_nat->(option_nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1680>, <kernel.DependentProduct object at 0x25c18c0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omax__in__set
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_VEBT_max_in_set:(set_nat->(nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c16c8>, <kernel.DependentProduct object at 0x25c1998>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omin__in__set
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_VEBT_min_in_set:(set_nat->(nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1200>, <kernel.DependentProduct object at 0x25c1680>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omul
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_VEBT_mul:(option_nat->(option_nat->option_nat))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c16c8>, <kernel.DependentProduct object at 0x25c1b90>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Nat__Onat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_V4262088993061758097ft_nat:((nat->(nat->nat))->(option_nat->(option_nat->option_nat)))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1680>, <kernel.DependentProduct object at 0x25c1cb0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Num__Onum
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_V819420779217536731ft_num:((num->(num->num))->(option_num->(option_num->option_num)))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1b90>, <kernel.DependentProduct object at 0x25c19e0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_V1502963449132264192at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(option4927543243414619207at_nat->(option4927543243414619207at_nat->option4927543243414619207at_nat)))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1c68>, <kernel.DependentProduct object at 0x25c1cb0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Opower
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_VEBT_power:(option_nat->(option_nat->option_nat))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1638>, <kernel.DependentProduct object at 0x25c1710>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_vebt_maxt:(vEBT_VEBT->option_nat)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1d40>, <kernel.DependentProduct object at 0x25c1cb0>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt__rel
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_vebt_maxt_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c19e0>, <kernel.DependentProduct object at 0x25c1e18>) of role type named sy_c_VEBT__MinMax_Ovebt__mint
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_vebt_mint:(vEBT_VEBT->option_nat)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1dd0>, <kernel.DependentProduct object at 0x25c1d40>) of role type named sy_c_VEBT__MinMax_Ovebt__mint__rel
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_vebt_mint_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1998>, <kernel.DependentProduct object at 0x25c19e0>) of role type named sy_c_VEBT__Pred_Ois__pred__in__set
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_is_pred_in_set:(set_nat->(nat->(nat->Prop)))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1f38>, <kernel.DependentProduct object at 0x25c1b90>) of role type named sy_c_VEBT__Pred_Ovebt__pred
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_vebt_pred:(vEBT_VEBT->(nat->option_nat))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1e60>, <kernel.DependentProduct object at 0x25c1e18>) of role type named sy_c_VEBT__Pred_Ovebt__pred__rel
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_vebt_pred_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1cb0>, <kernel.DependentProduct object at 0x25c1b90>) of role type named sy_c_VEBT__Succ_Ois__succ__in__set
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_is_succ_in_set:(set_nat->(nat->(nat->Prop)))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1fc8>, <kernel.DependentProduct object at 0x25c1dd0>) of role type named sy_c_VEBT__Succ_Ovebt__succ
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_vebt_succ:(vEBT_VEBT->(nat->option_nat))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1710>, <kernel.DependentProduct object at 0x25c5050>) of role type named sy_c_VEBT__Succ_Ovebt__succ__rel
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring vEBT_vebt_succ_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1fc8>, <kernel.DependentProduct object at 0x25c1e18>) of role type named sy_c_Wellfounded_Oaccp_001t__List__Olist_It__Nat__Onat_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring accp_list_nat:((list_nat->(list_nat->Prop))->(list_nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1710>, <kernel.DependentProduct object at 0x25c5050>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1fc8>, <kernel.DependentProduct object at 0x25c5050>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1fc8>, <kernel.DependentProduct object at 0x25c5128>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1dd0>, <kernel.DependentProduct object at 0x25c51b8>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1fc8>, <kernel.DependentProduct object at 0x25c5098>) of role type named sy_c_Wellfounded_Oaccp_001t__VEBT____Definitions__OVEBT
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring accp_VEBT_VEBT:((vEBT_VEBT->(vEBT_VEBT->Prop))->(vEBT_VEBT->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c1e60>, <kernel.Constant object at 0x25c5290>) of role type named sy_c_Wellfounded_Opred__nat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring pred_nat:set_Pr1261947904930325089at_nat
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c5200>, <kernel.DependentProduct object at 0x25c53b0>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring fChoice_real:((real->Prop)->real)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c5098>, <kernel.DependentProduct object at 0x25c5200>) of role type named sy_c_member_001_Eo
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring member_o:(Prop->(set_o->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c5050>, <kernel.DependentProduct object at 0x25c5098>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring member_complex:(complex->(set_complex->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c5320>, <kernel.DependentProduct object at 0x25c5290>) of role type named sy_c_member_001t__Int__Oint
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring member_int:(int->(set_int->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c53b0>, <kernel.DependentProduct object at 0x25c5200>) of role type named sy_c_member_001t__List__Olist_I_Eo_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring member_list_o:(list_o->(set_list_o->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c5098>, <kernel.DependentProduct object at 0x25c5320>) of role type named sy_c_member_001t__List__Olist_It__Int__Oint_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring member_list_int:(list_int->(set_list_int->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c50e0>, <kernel.DependentProduct object at 0x25c53b0>) of role type named sy_c_member_001t__List__Olist_It__Nat__Onat_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring member_list_nat:(list_nat->(set_list_nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c5098>, <kernel.DependentProduct object at 0x25c50e0>) of role type named sy_c_member_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring member2936631157270082147T_VEBT:(list_VEBT_VEBT->(set_list_VEBT_VEBT->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c5290>, <kernel.DependentProduct object at 0x25c53b0>) of role type named sy_c_member_001t__Nat__Onat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring member_nat:(nat->(set_nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c55a8>, <kernel.DependentProduct object at 0x25c5098>) of role type named sy_c_member_001t__Num__Onum
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring member_num:(num->(set_num->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c5290>, <kernel.DependentProduct object at 0x25c5050>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring member8440522571783428010at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c5680>, <kernel.DependentProduct object at 0x25c5098>) of role type named sy_c_member_001t__Rat__Orat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring member_rat:(rat->(set_rat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c52d8>, <kernel.DependentProduct object at 0x25c5680>) of role type named sy_c_member_001t__Real__Oreal
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring member_real:(real->(set_real->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x25c5758>, <kernel.DependentProduct object at 0x25c5290>) of role type named sy_c_member_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring member_set_nat:(set_nat->(set_set_nat->Prop))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x25c5320>, <kernel.DependentProduct object at 0x25c5098>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x25c5680>, <kernel.Constant object at 0x25c5098>) of role type named sy_v_deg____
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring deg:nat
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x25c5290>, <kernel.Constant object at 0x25c5098>) of role type named sy_v_i____
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring i:nat
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x25c53b0>, <kernel.Constant object at 0x25c5098>) of role type named sy_v_m____
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring m:nat
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x25c5830>, <kernel.Constant object at 0x25c5098>) of role type named sy_v_ma____
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring ma:nat
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x25c57e8>, <kernel.Constant object at 0x25c5098>) of role type named sy_v_mi____
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring mi:nat
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x25c5878>, <kernel.Constant object at 0x25c5098>) of role type named sy_v_na____
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring na:nat
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x25c58c0>, <kernel.Constant object at 0x25c5098>) of role type named sy_v_summary____
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring summary:vEBT_VEBT
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x25c5908>, <kernel.Constant object at 0x25c5098>) of role type named sy_v_treeList____
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring treeList:list_VEBT_VEBT
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x25c5950>, <kernel.Constant object at 0x25c5098>) of role type named sy_v_x
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring x:nat
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x25c5998>, <kernel.Constant object at 0x25c5098>) of role type named sy_v_y____
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring y:nat
% 0.67/0.88 FOF formula (((eq (set_nat->(nat->Prop))) vEBT_VEBT_max_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat Y) X)))))) of role axiom named fact_0_max__in__set__def
% 0.67/0.88 A new axiom: (((eq (set_nat->(nat->Prop))) vEBT_VEBT_max_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat Y) X))))))
% 0.67/0.88 FOF formula (((eq (set_nat->(nat->Prop))) vEBT_VEBT_min_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat X) Y)))))) of role axiom named fact_1_min__in__set__def
% 0.67/0.88 A new axiom: (((eq (set_nat->(nat->Prop))) vEBT_VEBT_min_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat X) Y))))))
% 0.67/0.88 FOF formula (((eq nat) deg) ((plus_plus_nat na) m)) of role axiom named fact_2__C5_Ohyps_C_I4_J
% 0.67/0.88 A new axiom: (((eq nat) deg) ((plus_plus_nat na) m))
% 0.67/0.88 FOF formula ((and ((ord_less_nat y) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) ((ord_less_nat i) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))) of role axiom named fact_3__092_060open_062y_A_060_A2_A_094_An_A_092_060and_062_Ai_A_060_A2_A_094_Am_092_060close_062
% 0.67/0.88 A new axiom: ((and ((ord_less_nat y) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) ((ord_less_nat i) ((power_power_nat (numeral_numeral_nat (bit0 one))) m)))
% 0.67/0.88 FOF formula (forall (A:nat) (B:nat), (((eq nat) ((divide_divide_nat ((power_power_nat (numeral_numeral_nat (bit0 one))) ((plus_plus_nat A) B))) ((power_power_nat (numeral_numeral_nat (bit0 one))) A))) ((power_power_nat (numeral_numeral_nat (bit0 one))) B))) of role axiom named fact_4_pow__sum
% 0.67/0.88 A new axiom: (forall (A:nat) (B:nat), (((eq nat) ((divide_divide_nat ((power_power_nat (numeral_numeral_nat (bit0 one))) ((plus_plus_nat A) B))) ((power_power_nat (numeral_numeral_nat (bit0 one))) A))) ((power_power_nat (numeral_numeral_nat (bit0 one))) B)))
% 0.67/0.88 FOF formula (((eq (nat->(nat->nat))) vEBT_VEBT_high) (fun (X:nat) (N:nat)=> ((divide_divide_nat X) ((power_power_nat (numeral_numeral_nat (bit0 one))) N)))) of role axiom named fact_5_high__def
% 0.67/0.88 A new axiom: (((eq (nat->(nat->nat))) vEBT_VEBT_high) (fun (X:nat) (N:nat)=> ((divide_divide_nat X) ((power_power_nat (numeral_numeral_nat (bit0 one))) N))))
% 0.71/0.89 FOF formula ((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) deg) of role axiom named fact_6__092_060open_0622_A_092_060le_062_Adeg_092_060close_062
% 0.71/0.89 A new axiom: ((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) deg)
% 0.71/0.89 FOF formula (forall (Ma:nat) (N2:nat) (M:nat), (((ord_less_nat Ma) ((power_power_nat (numeral_numeral_nat (bit0 one))) ((plus_plus_nat N2) M)))->((ord_less_nat ((vEBT_VEBT_high Ma) N2)) ((power_power_nat (numeral_numeral_nat (bit0 one))) M)))) of role axiom named fact_7_high__bound__aux
% 0.71/0.89 A new axiom: (forall (Ma:nat) (N2:nat) (M:nat), (((ord_less_nat Ma) ((power_power_nat (numeral_numeral_nat (bit0 one))) ((plus_plus_nat N2) M)))->((ord_less_nat ((vEBT_VEBT_high Ma) N2)) ((power_power_nat (numeral_numeral_nat (bit0 one))) M))))
% 0.71/0.89 FOF formula (((eq (nat->(nat->(nat->nat)))) vEBT_VEBT_bit_concat) (fun (H:nat) (L:nat) (D:nat)=> ((plus_plus_nat ((times_times_nat H) ((power_power_nat (numeral_numeral_nat (bit0 one))) D))) L))) of role axiom named fact_8_bit__concat__def
% 0.71/0.89 A new axiom: (((eq (nat->(nat->(nat->nat)))) vEBT_VEBT_bit_concat) (fun (H:nat) (L:nat) (D:nat)=> ((plus_plus_nat ((times_times_nat H) ((power_power_nat (numeral_numeral_nat (bit0 one))) D))) L)))
% 0.71/0.89 FOF formula (forall (X2:nat) (N2:nat) (Y2:nat), (((ord_less_nat X2) ((power_power_nat (numeral_numeral_nat (bit0 one))) N2))->(((eq nat) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat Y2) ((power_power_nat (numeral_numeral_nat (bit0 one))) N2))) X2)) N2)) Y2))) of role axiom named fact_9_high__inv
% 0.71/0.89 A new axiom: (forall (X2:nat) (N2:nat) (Y2:nat), (((ord_less_nat X2) ((power_power_nat (numeral_numeral_nat (bit0 one))) N2))->(((eq nat) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat Y2) ((power_power_nat (numeral_numeral_nat (bit0 one))) N2))) X2)) N2)) Y2)))
% 0.71/0.89 FOF formula (((eq nat) (size_s6755466524823107622T_VEBT treeList)) ((power_power_nat (numeral_numeral_nat (bit0 one))) m)) of role axiom named fact_10__C5_Ohyps_C_I2_J
% 0.71/0.89 A new axiom: (((eq nat) (size_s6755466524823107622T_VEBT treeList)) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))
% 0.71/0.89 FOF formula ((vEBT_invar_vebt summary) m) of role axiom named fact_11__C5_Ohyps_C_I1_J
% 0.71/0.89 A new axiom: ((vEBT_invar_vebt summary) m)
% 0.71/0.89 FOF formula ((ord_less_nat ma) ((power_power_nat (numeral_numeral_nat (bit0 one))) deg)) of role axiom named fact_12__C5_Ohyps_C_I8_J
% 0.71/0.89 A new axiom: ((ord_less_nat ma) ((power_power_nat (numeral_numeral_nat (bit0 one))) deg))
% 0.71/0.89 FOF formula (((eq option_nat) (vEBT_vebt_mint ((nth_VEBT_VEBT treeList) (the_nat (vEBT_vebt_mint summary))))) (some_nat y)) of role axiom named fact_13__092_060open_062vebt__mint_A_ItreeList_A_B_Athe_A_Ivebt__mint_Asummary_J_J_A_061_ASome_Ay_092_060close_062
% 0.71/0.89 A new axiom: (((eq option_nat) (vEBT_vebt_mint ((nth_VEBT_VEBT treeList) (the_nat (vEBT_vebt_mint summary))))) (some_nat y))
% 0.71/0.89 FOF formula (((eq option_nat) (vEBT_vebt_mint summary)) (some_nat i)) of role axiom named fact_14_aa
% 0.71/0.89 A new axiom: (((eq option_nat) (vEBT_vebt_mint summary)) (some_nat i))
% 0.71/0.89 FOF formula (((eq nat) m) (suc na)) of role axiom named fact_15__C5_Ohyps_C_I3_J
% 0.71/0.89 A new axiom: (((eq nat) m) (suc na))
% 0.71/0.89 FOF formula (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))->(((eq Prop) ((ex nat) (fun (X3:nat)=> ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) _TPTP_I)) X3)))) ((vEBT_V8194947554948674370ptions summary) _TPTP_I)))) of role axiom named fact_16__C5_Ohyps_C_I5_J
% 0.71/0.89 A new axiom: (forall (_TPTP_I:nat), (((ord_less_nat _TPTP_I) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))->(((eq Prop) ((ex nat) (fun (X3:nat)=> ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) _TPTP_I)) X3)))) ((vEBT_V8194947554948674370ptions summary) _TPTP_I))))
% 0.71/0.89 FOF formula (forall (M:nat), (((eq nat) ((divide_divide_nat ((plus_plus_nat M) M)) (numeral_numeral_nat (bit0 one)))) M)) of role axiom named fact_17_add__self__div__2
% 0.71/0.89 A new axiom: (forall (M:nat), (((eq nat) ((divide_divide_nat ((plus_plus_nat M) M)) (numeral_numeral_nat (bit0 one)))) M))
% 0.71/0.90 FOF formula (forall (B:real) (W:num) (A:real), (((eq Prop) ((ord_less_eq_real ((divide_divide_real B) (numeral_numeral_real W))) A)) ((ord_less_eq_real B) ((times_times_real A) (numeral_numeral_real W))))) of role axiom named fact_18_divide__le__eq__numeral1_I1_J
% 0.71/0.90 A new axiom: (forall (B:real) (W:num) (A:real), (((eq Prop) ((ord_less_eq_real ((divide_divide_real B) (numeral_numeral_real W))) A)) ((ord_less_eq_real B) ((times_times_real A) (numeral_numeral_real W)))))
% 0.71/0.90 FOF formula (forall (B:rat) (W:num) (A:rat), (((eq Prop) ((ord_less_eq_rat ((divide_divide_rat B) (numeral_numeral_rat W))) A)) ((ord_less_eq_rat B) ((times_times_rat A) (numeral_numeral_rat W))))) of role axiom named fact_19_divide__le__eq__numeral1_I1_J
% 0.71/0.90 A new axiom: (forall (B:rat) (W:num) (A:rat), (((eq Prop) ((ord_less_eq_rat ((divide_divide_rat B) (numeral_numeral_rat W))) A)) ((ord_less_eq_rat B) ((times_times_rat A) (numeral_numeral_rat W)))))
% 0.71/0.90 FOF formula (forall (A:real) (B:real) (W:num), (((eq Prop) ((ord_less_eq_real A) ((divide_divide_real B) (numeral_numeral_real W)))) ((ord_less_eq_real ((times_times_real A) (numeral_numeral_real W))) B))) of role axiom named fact_20_le__divide__eq__numeral1_I1_J
% 0.71/0.90 A new axiom: (forall (A:real) (B:real) (W:num), (((eq Prop) ((ord_less_eq_real A) ((divide_divide_real B) (numeral_numeral_real W)))) ((ord_less_eq_real ((times_times_real A) (numeral_numeral_real W))) B)))
% 0.71/0.90 FOF formula (forall (A:rat) (B:rat) (W:num), (((eq Prop) ((ord_less_eq_rat A) ((divide_divide_rat B) (numeral_numeral_rat W)))) ((ord_less_eq_rat ((times_times_rat A) (numeral_numeral_rat W))) B))) of role axiom named fact_21_le__divide__eq__numeral1_I1_J
% 0.71/0.90 A new axiom: (forall (A:rat) (B:rat) (W:num), (((eq Prop) ((ord_less_eq_rat A) ((divide_divide_rat B) (numeral_numeral_rat W)))) ((ord_less_eq_rat ((times_times_rat A) (numeral_numeral_rat W))) B)))
% 0.71/0.90 FOF formula (forall (X2:real) (Y2:real), ((ord_less_eq_real ((times_times_real ((times_times_real (numeral_numeral_real (bit0 one))) X2)) Y2)) ((plus_plus_real ((power_power_real X2) (numeral_numeral_nat (bit0 one)))) ((power_power_real Y2) (numeral_numeral_nat (bit0 one)))))) of role axiom named fact_22_sum__squares__bound
% 0.71/0.90 A new axiom: (forall (X2:real) (Y2:real), ((ord_less_eq_real ((times_times_real ((times_times_real (numeral_numeral_real (bit0 one))) X2)) Y2)) ((plus_plus_real ((power_power_real X2) (numeral_numeral_nat (bit0 one)))) ((power_power_real Y2) (numeral_numeral_nat (bit0 one))))))
% 0.71/0.90 FOF formula (forall (X2:rat) (Y2:rat), ((ord_less_eq_rat ((times_times_rat ((times_times_rat (numeral_numeral_rat (bit0 one))) X2)) Y2)) ((plus_plus_rat ((power_power_rat X2) (numeral_numeral_nat (bit0 one)))) ((power_power_rat Y2) (numeral_numeral_nat (bit0 one)))))) of role axiom named fact_23_sum__squares__bound
% 0.71/0.90 A new axiom: (forall (X2:rat) (Y2:rat), ((ord_less_eq_rat ((times_times_rat ((times_times_rat (numeral_numeral_rat (bit0 one))) X2)) Y2)) ((plus_plus_rat ((power_power_rat X2) (numeral_numeral_nat (bit0 one)))) ((power_power_rat Y2) (numeral_numeral_nat (bit0 one))))))
% 0.71/0.90 FOF formula (forall (V:num) (B:complex) (C:complex), (((eq complex) ((times_times_complex (numera6690914467698888265omplex V)) ((plus_plus_complex B) C))) ((plus_plus_complex ((times_times_complex (numera6690914467698888265omplex V)) B)) ((times_times_complex (numera6690914467698888265omplex V)) C)))) of role axiom named fact_24_distrib__left__numeral
% 0.71/0.90 A new axiom: (forall (V:num) (B:complex) (C:complex), (((eq complex) ((times_times_complex (numera6690914467698888265omplex V)) ((plus_plus_complex B) C))) ((plus_plus_complex ((times_times_complex (numera6690914467698888265omplex V)) B)) ((times_times_complex (numera6690914467698888265omplex V)) C))))
% 0.71/0.90 FOF formula (forall (V:num) (B:real) (C:real), (((eq real) ((times_times_real (numeral_numeral_real V)) ((plus_plus_real B) C))) ((plus_plus_real ((times_times_real (numeral_numeral_real V)) B)) ((times_times_real (numeral_numeral_real V)) C)))) of role axiom named fact_25_distrib__left__numeral
% 0.71/0.90 A new axiom: (forall (V:num) (B:real) (C:real), (((eq real) ((times_times_real (numeral_numeral_real V)) ((plus_plus_real B) C))) ((plus_plus_real ((times_times_real (numeral_numeral_real V)) B)) ((times_times_real (numeral_numeral_real V)) C))))
% 0.71/0.91 FOF formula (forall (V:num) (B:rat) (C:rat), (((eq rat) ((times_times_rat (numeral_numeral_rat V)) ((plus_plus_rat B) C))) ((plus_plus_rat ((times_times_rat (numeral_numeral_rat V)) B)) ((times_times_rat (numeral_numeral_rat V)) C)))) of role axiom named fact_26_distrib__left__numeral
% 0.71/0.91 A new axiom: (forall (V:num) (B:rat) (C:rat), (((eq rat) ((times_times_rat (numeral_numeral_rat V)) ((plus_plus_rat B) C))) ((plus_plus_rat ((times_times_rat (numeral_numeral_rat V)) B)) ((times_times_rat (numeral_numeral_rat V)) C))))
% 0.71/0.91 FOF formula (forall (V:num) (B:nat) (C:nat), (((eq nat) ((times_times_nat (numeral_numeral_nat V)) ((plus_plus_nat B) C))) ((plus_plus_nat ((times_times_nat (numeral_numeral_nat V)) B)) ((times_times_nat (numeral_numeral_nat V)) C)))) of role axiom named fact_27_distrib__left__numeral
% 0.71/0.91 A new axiom: (forall (V:num) (B:nat) (C:nat), (((eq nat) ((times_times_nat (numeral_numeral_nat V)) ((plus_plus_nat B) C))) ((plus_plus_nat ((times_times_nat (numeral_numeral_nat V)) B)) ((times_times_nat (numeral_numeral_nat V)) C))))
% 0.71/0.91 FOF formula (forall (V:num) (B:int) (C:int), (((eq int) ((times_times_int (numeral_numeral_int V)) ((plus_plus_int B) C))) ((plus_plus_int ((times_times_int (numeral_numeral_int V)) B)) ((times_times_int (numeral_numeral_int V)) C)))) of role axiom named fact_28_distrib__left__numeral
% 0.71/0.91 A new axiom: (forall (V:num) (B:int) (C:int), (((eq int) ((times_times_int (numeral_numeral_int V)) ((plus_plus_int B) C))) ((plus_plus_int ((times_times_int (numeral_numeral_int V)) B)) ((times_times_int (numeral_numeral_int V)) C))))
% 0.71/0.91 FOF formula (forall (A:complex) (B:complex) (V:num), (((eq complex) ((times_times_complex ((plus_plus_complex A) B)) (numera6690914467698888265omplex V))) ((plus_plus_complex ((times_times_complex A) (numera6690914467698888265omplex V))) ((times_times_complex B) (numera6690914467698888265omplex V))))) of role axiom named fact_29_distrib__right__numeral
% 0.71/0.91 A new axiom: (forall (A:complex) (B:complex) (V:num), (((eq complex) ((times_times_complex ((plus_plus_complex A) B)) (numera6690914467698888265omplex V))) ((plus_plus_complex ((times_times_complex A) (numera6690914467698888265omplex V))) ((times_times_complex B) (numera6690914467698888265omplex V)))))
% 0.71/0.91 FOF formula (forall (A:real) (B:real) (V:num), (((eq real) ((times_times_real ((plus_plus_real A) B)) (numeral_numeral_real V))) ((plus_plus_real ((times_times_real A) (numeral_numeral_real V))) ((times_times_real B) (numeral_numeral_real V))))) of role axiom named fact_30_distrib__right__numeral
% 0.71/0.91 A new axiom: (forall (A:real) (B:real) (V:num), (((eq real) ((times_times_real ((plus_plus_real A) B)) (numeral_numeral_real V))) ((plus_plus_real ((times_times_real A) (numeral_numeral_real V))) ((times_times_real B) (numeral_numeral_real V)))))
% 0.71/0.91 FOF formula (forall (A:rat) (B:rat) (V:num), (((eq rat) ((times_times_rat ((plus_plus_rat A) B)) (numeral_numeral_rat V))) ((plus_plus_rat ((times_times_rat A) (numeral_numeral_rat V))) ((times_times_rat B) (numeral_numeral_rat V))))) of role axiom named fact_31_distrib__right__numeral
% 0.71/0.91 A new axiom: (forall (A:rat) (B:rat) (V:num), (((eq rat) ((times_times_rat ((plus_plus_rat A) B)) (numeral_numeral_rat V))) ((plus_plus_rat ((times_times_rat A) (numeral_numeral_rat V))) ((times_times_rat B) (numeral_numeral_rat V)))))
% 0.71/0.91 FOF formula (forall (A:nat) (B:nat) (V:num), (((eq nat) ((times_times_nat ((plus_plus_nat A) B)) (numeral_numeral_nat V))) ((plus_plus_nat ((times_times_nat A) (numeral_numeral_nat V))) ((times_times_nat B) (numeral_numeral_nat V))))) of role axiom named fact_32_distrib__right__numeral
% 0.71/0.91 A new axiom: (forall (A:nat) (B:nat) (V:num), (((eq nat) ((times_times_nat ((plus_plus_nat A) B)) (numeral_numeral_nat V))) ((plus_plus_nat ((times_times_nat A) (numeral_numeral_nat V))) ((times_times_nat B) (numeral_numeral_nat V)))))
% 0.71/0.91 FOF formula (forall (A:int) (B:int) (V:num), (((eq int) ((times_times_int ((plus_plus_int A) B)) (numeral_numeral_int V))) ((plus_plus_int ((times_times_int A) (numeral_numeral_int V))) ((times_times_int B) (numeral_numeral_int V))))) of role axiom named fact_33_distrib__right__numeral
% 0.71/0.91 A new axiom: (forall (A:int) (B:int) (V:num), (((eq int) ((times_times_int ((plus_plus_int A) B)) (numeral_numeral_int V))) ((plus_plus_int ((times_times_int A) (numeral_numeral_int V))) ((times_times_int B) (numeral_numeral_int V)))))
% 0.71/0.91 FOF formula (forall (X2:complex) (Y2:complex), (((eq complex) ((power_power_complex ((plus_plus_complex X2) Y2)) (numeral_numeral_nat (bit0 one)))) ((plus_plus_complex ((plus_plus_complex ((power_power_complex X2) (numeral_numeral_nat (bit0 one)))) ((power_power_complex Y2) (numeral_numeral_nat (bit0 one))))) ((times_times_complex ((times_times_complex (numera6690914467698888265omplex (bit0 one))) X2)) Y2)))) of role axiom named fact_34_power2__sum
% 0.71/0.91 A new axiom: (forall (X2:complex) (Y2:complex), (((eq complex) ((power_power_complex ((plus_plus_complex X2) Y2)) (numeral_numeral_nat (bit0 one)))) ((plus_plus_complex ((plus_plus_complex ((power_power_complex X2) (numeral_numeral_nat (bit0 one)))) ((power_power_complex Y2) (numeral_numeral_nat (bit0 one))))) ((times_times_complex ((times_times_complex (numera6690914467698888265omplex (bit0 one))) X2)) Y2))))
% 0.71/0.91 FOF formula (forall (X2:real) (Y2:real), (((eq real) ((power_power_real ((plus_plus_real X2) Y2)) (numeral_numeral_nat (bit0 one)))) ((plus_plus_real ((plus_plus_real ((power_power_real X2) (numeral_numeral_nat (bit0 one)))) ((power_power_real Y2) (numeral_numeral_nat (bit0 one))))) ((times_times_real ((times_times_real (numeral_numeral_real (bit0 one))) X2)) Y2)))) of role axiom named fact_35_power2__sum
% 0.71/0.91 A new axiom: (forall (X2:real) (Y2:real), (((eq real) ((power_power_real ((plus_plus_real X2) Y2)) (numeral_numeral_nat (bit0 one)))) ((plus_plus_real ((plus_plus_real ((power_power_real X2) (numeral_numeral_nat (bit0 one)))) ((power_power_real Y2) (numeral_numeral_nat (bit0 one))))) ((times_times_real ((times_times_real (numeral_numeral_real (bit0 one))) X2)) Y2))))
% 0.71/0.91 FOF formula (forall (X2:rat) (Y2:rat), (((eq rat) ((power_power_rat ((plus_plus_rat X2) Y2)) (numeral_numeral_nat (bit0 one)))) ((plus_plus_rat ((plus_plus_rat ((power_power_rat X2) (numeral_numeral_nat (bit0 one)))) ((power_power_rat Y2) (numeral_numeral_nat (bit0 one))))) ((times_times_rat ((times_times_rat (numeral_numeral_rat (bit0 one))) X2)) Y2)))) of role axiom named fact_36_power2__sum
% 0.71/0.91 A new axiom: (forall (X2:rat) (Y2:rat), (((eq rat) ((power_power_rat ((plus_plus_rat X2) Y2)) (numeral_numeral_nat (bit0 one)))) ((plus_plus_rat ((plus_plus_rat ((power_power_rat X2) (numeral_numeral_nat (bit0 one)))) ((power_power_rat Y2) (numeral_numeral_nat (bit0 one))))) ((times_times_rat ((times_times_rat (numeral_numeral_rat (bit0 one))) X2)) Y2))))
% 0.71/0.91 FOF formula (forall (X2:nat) (Y2:nat), (((eq nat) ((power_power_nat ((plus_plus_nat X2) Y2)) (numeral_numeral_nat (bit0 one)))) ((plus_plus_nat ((plus_plus_nat ((power_power_nat X2) (numeral_numeral_nat (bit0 one)))) ((power_power_nat Y2) (numeral_numeral_nat (bit0 one))))) ((times_times_nat ((times_times_nat (numeral_numeral_nat (bit0 one))) X2)) Y2)))) of role axiom named fact_37_power2__sum
% 0.71/0.91 A new axiom: (forall (X2:nat) (Y2:nat), (((eq nat) ((power_power_nat ((plus_plus_nat X2) Y2)) (numeral_numeral_nat (bit0 one)))) ((plus_plus_nat ((plus_plus_nat ((power_power_nat X2) (numeral_numeral_nat (bit0 one)))) ((power_power_nat Y2) (numeral_numeral_nat (bit0 one))))) ((times_times_nat ((times_times_nat (numeral_numeral_nat (bit0 one))) X2)) Y2))))
% 0.71/0.91 FOF formula (forall (X2:int) (Y2:int), (((eq int) ((power_power_int ((plus_plus_int X2) Y2)) (numeral_numeral_nat (bit0 one)))) ((plus_plus_int ((plus_plus_int ((power_power_int X2) (numeral_numeral_nat (bit0 one)))) ((power_power_int Y2) (numeral_numeral_nat (bit0 one))))) ((times_times_int ((times_times_int (numeral_numeral_int (bit0 one))) X2)) Y2)))) of role axiom named fact_38_power2__sum
% 0.71/0.91 A new axiom: (forall (X2:int) (Y2:int), (((eq int) ((power_power_int ((plus_plus_int X2) Y2)) (numeral_numeral_nat (bit0 one)))) ((plus_plus_int ((plus_plus_int ((power_power_int X2) (numeral_numeral_nat (bit0 one)))) ((power_power_int Y2) (numeral_numeral_nat (bit0 one))))) ((times_times_int ((times_times_int (numeral_numeral_int (bit0 one))) X2)) Y2))))
% 0.71/0.92 FOF formula (forall (A:nat) (M:nat) (N2:nat), (((eq nat) ((divide_divide_nat ((divide_divide_nat A) ((power_power_nat (numeral_numeral_nat (bit0 one))) M))) ((power_power_nat (numeral_numeral_nat (bit0 one))) N2))) ((divide_divide_nat A) ((power_power_nat (numeral_numeral_nat (bit0 one))) ((plus_plus_nat M) N2))))) of role axiom named fact_39_div__exp__eq
% 0.71/0.92 A new axiom: (forall (A:nat) (M:nat) (N2:nat), (((eq nat) ((divide_divide_nat ((divide_divide_nat A) ((power_power_nat (numeral_numeral_nat (bit0 one))) M))) ((power_power_nat (numeral_numeral_nat (bit0 one))) N2))) ((divide_divide_nat A) ((power_power_nat (numeral_numeral_nat (bit0 one))) ((plus_plus_nat M) N2)))))
% 0.71/0.92 FOF formula (forall (A:int) (M:nat) (N2:nat), (((eq int) ((divide_divide_int ((divide_divide_int A) ((power_power_int (numeral_numeral_int (bit0 one))) M))) ((power_power_int (numeral_numeral_int (bit0 one))) N2))) ((divide_divide_int A) ((power_power_int (numeral_numeral_int (bit0 one))) ((plus_plus_nat M) N2))))) of role axiom named fact_40_div__exp__eq
% 0.71/0.92 A new axiom: (forall (A:int) (M:nat) (N2:nat), (((eq int) ((divide_divide_int ((divide_divide_int A) ((power_power_int (numeral_numeral_int (bit0 one))) M))) ((power_power_int (numeral_numeral_int (bit0 one))) N2))) ((divide_divide_int A) ((power_power_int (numeral_numeral_int (bit0 one))) ((plus_plus_nat M) N2)))))
% 0.71/0.92 <<<ghtarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,axiom,
% 0.71/0.92 ~ !>>>!!!<<< [Y3: nat] :
% 0.71/0.92 ( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_>>>
% 0.71/0.92 statestack=[0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 22, 30, 36, 43, 50, 124]
% 0.71/0.92 symstack=[$end, TPTP_file_pre, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, 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TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,144554), LexToken(LPAR,'(',1,144557), name, LexToken(COMMA,',',1,144793), formula_role, LexToken(COMMA,',',1,144799), unary_connective]
% 0.71/0.92 Unexpected exception Syntax error at '!':BANG
% 0.71/0.92 Traceback (most recent call last):
% 0.71/0.92 File "CASC.py", line 79, in <module>
% 0.71/0.92 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.71/0.92 File "/export/starexec/sandbox/solver/bin/TPTP.py", line 38, in __init__
% 0.71/0.92 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.71/0.92 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 265, in parse
% 0.71/0.92 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.71/0.92 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.71/0.92 tok = self.errorfunc(errtoken)
% 0.71/0.92 File "/export/starexec/sandbox/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.71/0.92 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.71/0.92 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------