TSTP Solution File: ITP262^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP262^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 17:47:51 EDT 2022
% Result : Unknown 0.68s 0.88s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : ITP262^3 : TPTP v7.6.0. Released v7.6.0.
% 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 Computer : n006.cluster.edu
% 0.12/0.33 Model : x86_64 x86_64
% 0.12/0.33 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 RAMPerCPU : 8042.1875MB
% 0.12/0.33 OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Mar 18 13:46:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.38/0.60 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.38/0.60 FOF formula (<kernel.Constant object at 0x1343758>, <kernel.Type object at 0x2adea8091560>) 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
% 0.38/0.60 Using role type
% 0.38/0.60 Declaring produc5542196010084753463at_nat:Type
% 0.38/0.60 FOF formula (<kernel.Constant object at 0x13432d8>, <kernel.Type object at 0x2adea8091518>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.38/0.60 Using role type
% 0.38/0.60 Declaring produc1908205239877642774nteger:Type
% 0.38/0.60 FOF formula (<kernel.Constant object at 0x13432d8>, <kernel.Type object at 0x2adea8091e60>) 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
% 0.38/0.60 Using role type
% 0.38/0.60 Declaring produc5491161045314408544at_nat:Type
% 0.38/0.60 FOF formula (<kernel.Constant object at 0x1343758>, <kernel.Type object at 0x13433f8>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.38/0.60 Using role type
% 0.38/0.60 Declaring produc2285326912895808259nt_int:Type
% 0.38/0.60 FOF formula (<kernel.Constant object at 0x2adea80913f8>, <kernel.Type object at 0x2adea808e638>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.38/0.60 Using role type
% 0.38/0.60 Declaring produc8763457246119570046nteger:Type
% 0.38/0.60 FOF formula (<kernel.Constant object at 0x2adea80913f8>, <kernel.Type object at 0x2adea808e170>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.38/0.60 Using role type
% 0.38/0.60 Declaring produc7773217078559923341nt_int:Type
% 0.38/0.60 FOF formula (<kernel.Constant object at 0x2adea8091638>, <kernel.Type object at 0x2adea808e3f8>) 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
% 0.38/0.60 Using role type
% 0.38/0.60 Declaring produc1193250871479095198on_num:Type
% 0.38/0.60 FOF formula (<kernel.Constant object at 0x2adea808e7e8>, <kernel.Type object at 0x2adea808e098>) 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
% 0.38/0.60 Using role type
% 0.38/0.60 Declaring produc8306885398267862888on_nat:Type
% 0.38/0.60 FOF formula (<kernel.Constant object at 0x2adea808e6c8>, <kernel.Type object at 0x2adea8091e60>) 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
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring produc6121120109295599847at_nat:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea808e7e8>, <kernel.Type object at 0x2adea05975f0>) 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
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring produc7036089656553540234on_num:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea808e7e8>, <kernel.Type object at 0x2adea0597128>) 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
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring produc2233624965454879586on_nat:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea808e6c8>, <kernel.Type object at 0x2adea808e908>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring produc6241069584506657477e_term:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05976c8>, <kernel.Type object at 0x2adea05c0f80>) 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
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring set_fi4554929511873752355omplex:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05976c8>, <kernel.Type object at 0x2adea05c0ef0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring list_P7413028617227757229T_VEBT:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea0597170>, <kernel.Type object at 0x2adea05c0f38>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring produc8551481072490612790e_term:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0ea8>, <kernel.Type object at 0x2adea05c0dd0>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring option6357759511663192854e_term:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0d40>, <kernel.Type object at 0x2adea05c0e60>) 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
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring produc3447558737645232053on_num:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0e18>, <kernel.Type object at 0x2adea05c0ea8>) 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
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring produc4953844613479565601on_nat:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0cb0>, <kernel.Type object at 0x2adea05c0b90>) 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
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring set_fi7789364187291644575l_real:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0e18>, <kernel.Type object at 0x2adea05c0d40>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring filter6041513312241820739omplex:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0b00>, <kernel.Type object at 0x2adea05c0cb0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring list_P7037539587688870467BT_nat:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0a70>, <kernel.Type object at 0x2adea05c0e18>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring list_P4547456442757143711BT_int:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c09e0>, <kernel.Type object at 0x2adea05c0b00>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring list_P5647936690300460905T_VEBT:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0950>, <kernel.Type object at 0x2adea05c0a70>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring produc8243902056947475879T_VEBT:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c08c0>, <kernel.Type object at 0x2adea05c09e0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring set_Pr5085853215250843933omplex:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0830>, <kernel.Type object at 0x2adea05c0950>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring produc8923325533196201883nteger:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c07a0>, <kernel.Type object at 0x2adea05c08c0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring list_P3126845725202233233VEBT_o:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0680>, <kernel.Type object at 0x2adea05c0830>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring list_P7495141550334521929T_VEBT:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c05f0>, <kernel.Type object at 0x2adea05c07a0>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring filter2146258269922977983l_real:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0560>, <kernel.Type object at 0x2adea05c0680>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring option4927543243414619207at_nat:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c04d0>, <kernel.Type object at 0x2adea05c05f0>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring filter1242075044329608583at_nat:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0440>, <kernel.Type object at 0x2adea05c0560>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring set_Pr6218003697084177305l_real:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c03b0>, <kernel.Type object at 0x2adea05c04d0>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring produc9072475918466114483BT_nat:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0320>, <kernel.Type object at 0x2adea05c0440>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring produc4894624898956917775BT_int:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0290>, <kernel.Type object at 0x2adea05c03b0>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring produc8025551001238799321T_VEBT:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0200>, <kernel.Type object at 0x2adea05c0320>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring set_Pr958786334691620121nt_int:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0170>, <kernel.Type object at 0x2adea05c0290>) of role type named ty_n_t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring produc4411394909380815293omplex:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c00e0>, <kernel.Type object at 0x2adea05c0200>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring list_P7333126701944960589_nat_o:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0050>, <kernel.Type object at 0x2adea0595680>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring list_P6285523579766656935_o_nat:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0050>, <kernel.Type object at 0x2adea05c0200>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring list_P3795440434834930179_o_int:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea0595830>, <kernel.Type object at 0x133dea8>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring set_list_VEBT_VEBT:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0d88>, <kernel.Type object at 0x133de60>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring produc334124729049499915VEBT_o:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0d88>, <kernel.Type object at 0x133ddd0>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring produc2504756804600209347T_VEBT:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0050>, <kernel.Type object at 0x133dc68>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring produc6271795597528267376eger_o:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x133def0>, <kernel.Type object at 0x1346d88>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring produc2422161461964618553l_real:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0200>, <kernel.Type object at 0x1346e60>) of role type named ty_n_t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring product_prod_num_num:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05c0200>, <kernel.Type object at 0x13465a8>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring product_prod_nat_num:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x133dbd8>, <kernel.Type object at 0x1346e60>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring product_prod_nat_nat:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x133dcf8>, <kernel.Type object at 0x2adea05be248>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring product_prod_int_int:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x1346e60>, <kernel.Type object at 0x2adea05be248>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring list_P4002435161011370285od_o_o:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x133def0>, <kernel.Type object at 0x2adea05be170>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Complex__Ocomplex_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring set_list_complex:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x1346830>, <kernel.Type object at 0x2adea05be1b8>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Complex__Ocomplex_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring set_set_complex:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x13465a8>, <kernel.Type object at 0x2adea05be128>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring list_VEBT_VEBT:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x1346e60>, <kernel.Type object at 0x2adea05be050>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring set_list_nat:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x1346e60>, <kernel.Type object at 0x2adea05be098>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Int__Oint_J_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring set_list_int:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05be200>, <kernel.Type object at 0x2adea05be2d8>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring product_prod_nat_o:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2adea05be0e0>, <kernel.Type object at 0x2adea05be320>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring product_prod_o_nat:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be248>, <kernel.Type object at 0x2adea05be368>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring product_prod_o_int:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be200>, <kernel.Type object at 0x2adea05be3b0>) of role type named ty_n_t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring list_set_nat:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be0e0>, <kernel.Type object at 0x2adea05be3f8>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring set_VEBT_VEBT:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be248>, <kernel.Type object at 0x2adea05be440>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring set_set_nat:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be200>, <kernel.Type object at 0x2adea05be488>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring set_set_int:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be0e0>, <kernel.Type object at 0x2adea05be4d0>) of role type named ty_n_t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring set_Code_integer:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be248>, <kernel.Type object at 0x2adea05be518>) of role type named ty_n_t__Set__Oset_It__Product____Type__Ounit_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring set_Product_unit:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be200>, <kernel.Type object at 0x2adea05be560>) of role type named ty_n_t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring set_Extended_enat:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be0e0>, <kernel.Type object at 0x2adea05be5a8>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring list_complex:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be248>, <kernel.Type object at 0x2adea05be5f0>) of role type named ty_n_t__Set__Oset_It__List__Olist_I_Eo_J_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring set_list_o:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be200>, <kernel.Type object at 0x2adea05be638>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring product_prod_o_o:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be0e0>, <kernel.Type object at 0x2adea05be680>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring set_complex:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be248>, <kernel.Type object at 0x2adea05be6c8>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring filter_real:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be200>, <kernel.Type object at 0x2adea05be710>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring option_num:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be0e0>, <kernel.Type object at 0x2adea05be758>) of role type named ty_n_t__Option__Ooption_It__Nat__Onat_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring option_nat:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be248>, <kernel.Type object at 0x2adea05be7a0>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring filter_nat:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be200>, <kernel.Type object at 0x2adea05be7e8>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring set_char:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be0e0>, <kernel.Type object at 0x2adea05be830>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring list_real:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be170>, <kernel.Type object at 0x2adea05be7e8>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring set_real:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be248>, <kernel.Type object at 0x2adea05be8c0>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring list_nat:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be0e0>, <kernel.Type object at 0x2adea05be950>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring list_int:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be7a0>, <kernel.Type object at 0x2adea05be998>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring vEBT_VEBT:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be170>, <kernel.Type object at 0x2adea05be9e0>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring set_rat:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be248>, <kernel.Type object at 0x2adea05bea28>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring set_num:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be0e0>, <kernel.Type object at 0x2adea05bea70>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring set_nat:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be7a0>, <kernel.Type object at 0x2adea05beab8>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring set_int:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be170>, <kernel.Type object at 0x2adea05beb00>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring code_integer:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be248>, <kernel.Type object at 0x2adea05beb48>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring extended_enat:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be7a0>, <kernel.Type object at 0x2adea05beab8>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring list_o:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be200>, <kernel.Type object at 0x2adea05bebd8>) of role type named ty_n_t__Complex__Ocomplex
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring complex:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be170>, <kernel.Type object at 0x2adea05beb00>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring set_o:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be7a0>, <kernel.Type object at 0x2adea05bec20>) of role type named ty_n_t__String__Ochar
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring char:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be200>, <kernel.Type object at 0x2adea05bec68>) of role type named ty_n_t__Real__Oreal
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring real:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be170>, <kernel.Type object at 0x2adea05becb0>) of role type named ty_n_t__Rat__Orat
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring rat:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be7a0>, <kernel.Type object at 0x2adea05becf8>) of role type named ty_n_t__Num__Onum
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring num:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be200>, <kernel.Type object at 0x2adea05bed40>) of role type named ty_n_t__Nat__Onat
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring nat:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be170>, <kernel.Type object at 0x2adea05bed88>) of role type named ty_n_t__Int__Oint
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring int:Type
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05be170>, <kernel.DependentProduct object at 0x2adea05bef38>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring archim7802044766580827645g_real:(real->int)
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05bedd0>, <kernel.DependentProduct object at 0x2adea05befc8>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring archim3151403230148437115or_rat:(rat->int)
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05bef38>, <kernel.DependentProduct object at 0x132d098>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring archim6058952711729229775r_real:(real->int)
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2adea05befc8>, <kernel.DependentProduct object at 0x132d128>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x2adea05befc8>, <kernel.DependentProduct object at 0x132d1b8>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring archim8280529875227126926d_real:(real->int)
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x2adea05bef80>, <kernel.DependentProduct object at 0x132d200>) of role type named sy_c_Binomial_Obinomial
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring binomial:(nat->(nat->nat))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x2adea05bedd0>, <kernel.DependentProduct object at 0x132d248>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x2adea05bedd0>, <kernel.DependentProduct object at 0x132d098>) of role type named sy_c_Bit__Operations_Oand__not__num
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring bit_and_not_num:(num->(num->option_num))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x132d1b8>, <kernel.DependentProduct object at 0x132d2d8>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x132d170>, <kernel.DependentProduct object at 0x132d128>) of role type named sy_c_Bit__Operations_Oor__not__num__neg
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring bit_or_not_num_neg:(num->(num->num))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x132d200>, <kernel.DependentProduct object at 0x132d170>) of role type named sy_c_Bit__Operations_Oor__not__num__neg__rel
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring bit_or3848514188828904588eg_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x132d128>, <kernel.DependentProduct object at 0x132d440>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x132d170>, <kernel.DependentProduct object at 0x132d128>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x132d440>, <kernel.DependentProduct object at 0x132d170>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x132d128>, <kernel.DependentProduct object at 0x132d440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Code____Numeral__Ointeger
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring bit_se3949692690581998587nteger:(code_integer->(code_integer->code_integer))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x132d170>, <kernel.DependentProduct object at 0x132d128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x132d440>, <kernel.DependentProduct object at 0x132d170>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x132d128>, <kernel.DependentProduct object at 0x132d440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x132d170>, <kernel.DependentProduct object at 0x132d128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x132d440>, <kernel.DependentProduct object at 0x132d170>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x132d128>, <kernel.DependentProduct object at 0x132d440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x132d170>, <kernel.DependentProduct object at 0x132d128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x132d440>, <kernel.DependentProduct object at 0x132d4d0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Code____Numeral__Ointeger
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se2119862282449309892nteger:(nat->code_integer)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x132d128>, <kernel.DependentProduct object at 0x132db00>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x132d4d0>, <kernel.DependentProduct object at 0x132db90>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x132db00>, <kernel.DependentProduct object at 0x132d4d0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x132db90>, <kernel.DependentProduct object at 0x132db00>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x132d4d0>, <kernel.DependentProduct object at 0x132db90>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x132db00>, <kernel.DependentProduct object at 0x132d4d0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x132db90>, <kernel.DependentProduct object at 0x132db00>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x132d4d0>, <kernel.DependentProduct object at 0x132db90>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x132db00>, <kernel.DependentProduct object at 0x132d4d0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x132db90>, <kernel.DependentProduct object at 0x132db00>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Code____Numeral__Ointeger
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se1745604003318907178nteger:(nat->(code_integer->code_integer))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x132d4d0>, <kernel.DependentProduct object at 0x132def0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x132d4d0>, <kernel.DependentProduct object at 0x13300e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x132d4d0>, <kernel.DependentProduct object at 0x13301b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x132df80>, <kernel.DependentProduct object at 0x1330248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x13301b8>, <kernel.DependentProduct object at 0x13302d8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x13300e0>, <kernel.DependentProduct object at 0x1330368>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1330200>, <kernel.DependentProduct object at 0x13303f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1330050>, <kernel.DependentProduct object at 0x1330200>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x13303f8>, <kernel.DependentProduct object at 0x1330050>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1330518>, <kernel.DependentProduct object at 0x1330200>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x13305f0>, <kernel.DependentProduct object at 0x13303f8>) of role type named sy_c_Code__Numeral_Obit__cut__integer
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring code_bit_cut_integer:(code_integer->produc6271795597528267376eger_o)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1330290>, <kernel.DependentProduct object at 0x13305f0>) of role type named sy_c_Code__Numeral_Odivmod__abs
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring code_divmod_abs:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x13304d0>, <kernel.DependentProduct object at 0x13303f8>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x13306c8>, <kernel.DependentProduct object at 0x1330638>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring code_int_of_integer:(code_integer->int)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x13303f8>, <kernel.DependentProduct object at 0x13307a0>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring code_integer_of_int:(int->code_integer)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x13301b8>, <kernel.DependentProduct object at 0x1330758>) of role type named sy_c_Code__Numeral_Ointeger__of__num
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring code_integer_of_num:(num->code_integer)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x13304d0>, <kernel.DependentProduct object at 0x13307e8>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring code_nat_of_integer:(code_integer->nat)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330710>, <kernel.DependentProduct object at 0x1330878>) of role type named sy_c_Code__Numeral_Onegative
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring code_negative:(num->code_integer)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330758>, <kernel.DependentProduct object at 0x13304d0>) of role type named sy_c_Code__Numeral_Onum__of__integer
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring code_num_of_integer:(code_integer->num)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330638>, <kernel.DependentProduct object at 0x1330908>) of role type named sy_c_Code__Numeral_Opositive
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring code_positive:(num->code_integer)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330878>, <kernel.DependentProduct object at 0x1330950>) of role type named sy_c_Code__Target__Int_Onegative
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring code_Target_negative:(num->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330710>, <kernel.DependentProduct object at 0x1330998>) of role type named sy_c_Code__Target__Int_Opositive
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring code_Target_positive:(num->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x13307e8>, <kernel.DependentProduct object at 0x1330878>) 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
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comple8358262395181532106omplex:(set_fi4554929511873752355omplex->filter6041513312241820739omplex)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330710>, <kernel.DependentProduct object at 0x13307e8>) 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
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comple2936214249959783750l_real:(set_fi7789364187291644575l_real->filter2146258269922977983l_real)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330878>, <kernel.DependentProduct object at 0x1330ab8>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comple4887499456419720421f_real:(set_real->real)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x13307e8>, <kernel.DependentProduct object at 0x1330b48>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comple7806235888213564991et_nat:(set_set_nat->set_nat)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x13304d0>, <kernel.DependentProduct object at 0x1330bd8>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring complete_Sup_Sup_int:(set_int->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330a70>, <kernel.DependentProduct object at 0x1330c20>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring complete_Sup_Sup_nat:(set_nat->nat)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x13304d0>, <kernel.DependentProduct object at 0x1330c68>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comple1385675409528146559p_real:(set_real->real)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330c20>, <kernel.DependentProduct object at 0x1330cf8>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comple7399068483239264473et_nat:(set_set_nat->set_nat)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330b00>, <kernel.DependentProduct object at 0x1330d88>) of role type named sy_c_Complex_OArg
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring arg:(complex->real)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x13307e8>, <kernel.DependentProduct object at 0x1330dd0>) of role type named sy_c_Complex_Ocis
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring cis:(real->complex)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330cb0>, <kernel.DependentProduct object at 0x1330e18>) of role type named sy_c_Complex_Ocnj
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring cnj:(complex->complex)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330830>, <kernel.DependentProduct object at 0x1330cb0>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring complex2:(real->(real->complex))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330ea8>, <kernel.DependentProduct object at 0x1330f38>) of role type named sy_c_Complex_Ocomplex_OIm
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring im:(complex->real)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330cb0>, <kernel.DependentProduct object at 0x1330ef0>) of role type named sy_c_Complex_Ocomplex_ORe
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring re:(complex->real)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330c20>, <kernel.DependentProduct object at 0x1330dd0>) of role type named sy_c_Complex_Ocsqrt
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring csqrt:(complex->complex)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330cf8>, <kernel.Constant object at 0x1330f38>) of role type named sy_c_Complex_Oimaginary__unit
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring imaginary_unit:complex
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330cb0>, <kernel.DependentProduct object at 0x1330e18>) of role type named sy_c_Deriv_Odifferentiable_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring differ6690327859849518006l_real:((real->real)->(filter_real->Prop))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330cf8>, <kernel.DependentProduct object at 0x1330f38>) of role type named sy_c_Deriv_Ohas__derivative_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring has_de1759254742604945161l_real:((real->real)->((real->real)->(filter_real->Prop)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330e18>, <kernel.DependentProduct object at 0x1337098>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330cf8>, <kernel.DependentProduct object at 0x1337200>) of role type named sy_c_Divides_Oadjust__div
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring adjust_div:(product_prod_int_int->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330f38>, <kernel.DependentProduct object at 0x1337050>) of role type named sy_c_Divides_Oadjust__mod
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring adjust_mod:(int->(int->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330cf8>, <kernel.DependentProduct object at 0x13370e0>) of role type named sy_c_Divides_Odivmod__nat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1330cf8>, <kernel.DependentProduct object at 0x13371b8>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1337290>, <kernel.DependentProduct object at 0x1337128>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring unique5706413561485394159nteger:(produc8923325533196201883nteger->Prop)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x13370e0>, <kernel.DependentProduct object at 0x13372d8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1337128>, <kernel.DependentProduct object at 0x1337368>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x13372d8>, <kernel.DependentProduct object at 0x1337440>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1337320>, <kernel.DependentProduct object at 0x13372d8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1337440>, <kernel.DependentProduct object at 0x1337320>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x13372d8>, <kernel.DependentProduct object at 0x1337638>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring unique4921790084139445826nteger:(num->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337320>, <kernel.DependentProduct object at 0x13372d8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337638>, <kernel.DependentProduct object at 0x1337320>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x13372d8>, <kernel.DependentProduct object at 0x1337440>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337320>, <kernel.DependentProduct object at 0x1337878>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337440>, <kernel.DependentProduct object at 0x1337908>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337878>, <kernel.DependentProduct object at 0x1337998>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Complex__Ocomplex
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring invers8013647133539491842omplex:(complex->complex)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337680>, <kernel.DependentProduct object at 0x1337a28>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring inverse_inverse_rat:(rat->rat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x13378c0>, <kernel.DependentProduct object at 0x1337a70>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring inverse_inverse_real:(real->real)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337950>, <kernel.Constant object at 0x1337a70>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring at_bot_real:filter_real
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337a28>, <kernel.Constant object at 0x1337a70>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring at_top_nat:filter_nat
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337908>, <kernel.Constant object at 0x1337a70>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring at_top_real:filter_real
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337878>, <kernel.DependentProduct object at 0x1337a28>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337908>, <kernel.DependentProduct object at 0x1337ab8>) of role type named sy_c_Filter_Oeventually_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring eventu1038000079068216329at_nat:((product_prod_nat_nat->Prop)->(filter1242075044329608583at_nat->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337998>, <kernel.DependentProduct object at 0x1337a28>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337ab8>, <kernel.DependentProduct object at 0x1337a70>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337cf8>, <kernel.DependentProduct object at 0x1337878>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337d88>, <kernel.DependentProduct object at 0x1337cb0>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337dd0>, <kernel.DependentProduct object at 0x1337b48>) of role type named sy_c_Filter_Ofiltermap_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring filtermap_real_real:((real->real)->(filter_real->filter_real))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337d88>, <kernel.DependentProduct object at 0x1337dd0>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring princi3496590319149328850omplex:(set_Pr5085853215250843933omplex->filter6041513312241820739omplex)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337b48>, <kernel.DependentProduct object at 0x1337d88>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring princi6114159922880469582l_real:(set_Pr6218003697084177305l_real->filter2146258269922977983l_real)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337d40>, <kernel.DependentProduct object at 0x1337dd0>) of role type named sy_c_Filter_Oprod__filter_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring prod_filter_nat_nat:(filter_nat->(filter_nat->filter1242075044329608583at_nat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x13371b8>, <kernel.DependentProduct object at 0x1337ef0>) of role type named sy_c_Finite__Set_Ocard_001_Eo
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite_card_o:(set_o->nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337ea8>, <kernel.DependentProduct object at 0x1337d40>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite_card_complex:(set_complex->nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337ef0>, <kernel.DependentProduct object at 0x1337fc8>) of role type named sy_c_Finite__Set_Ocard_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite_card_int:(set_int->nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337cb0>, <kernel.DependentProduct object at 0x2adea05c4050>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite_card_nat:(set_nat->nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337ef0>, <kernel.DependentProduct object at 0x2adea05c4098>) of role type named sy_c_Finite__Set_Ocard_001t__Product____Type__Ounit
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite410649719033368117t_unit:(set_Product_unit->nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x13371b8>, <kernel.DependentProduct object at 0x2adea05c4128>) of role type named sy_c_Finite__Set_Ocard_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite_card_set_nat:(set_set_nat->nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337cb0>, <kernel.DependentProduct object at 0x2adea05c4170>) of role type named sy_c_Finite__Set_Ocard_001t__String__Ochar
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite_card_char:(set_char->nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337f38>, <kernel.DependentProduct object at 0x2adea05c41b8>) of role type named sy_c_Finite__Set_Ofinite_001_Eo
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite_finite_o:(set_o->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1337f38>, <kernel.DependentProduct object at 0x2adea05c40e0>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x1337dd0>, <kernel.DependentProduct object at 0x2adea05c4248>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring finite_finite_int:(set_int->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x1337f38>, <kernel.DependentProduct object at 0x2adea05c4290>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_I_Eo_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring finite_finite_list_o:(set_list_o->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c4050>, <kernel.DependentProduct object at 0x2adea05c42d8>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Complex__Ocomplex_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring finite8712137658972009173omplex:(set_list_complex->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c4290>, <kernel.DependentProduct object at 0x2adea05c4368>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Int__Oint_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring finite3922522038869484883st_int:(set_list_int->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c42d8>, <kernel.DependentProduct object at 0x2adea05c43f8>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Nat__Onat_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring finite8100373058378681591st_nat:(set_list_nat->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c4368>, <kernel.DependentProduct object at 0x2adea05c4488>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring finite3004134309566078307T_VEBT:(set_list_VEBT_VEBT->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x1337f38>, <kernel.DependentProduct object at 0x2adea05c4518>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring finite_finite_nat:(set_nat->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c43f8>, <kernel.DependentProduct object at 0x2adea05c4560>) of role type named sy_c_Finite__Set_Ofinite_001t__Num__Onum
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring finite_finite_num:(set_num->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c41b8>, <kernel.DependentProduct object at 0x2adea05c45a8>) of role type named sy_c_Finite__Set_Ofinite_001t__Rat__Orat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring finite_finite_rat:(set_rat->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c4368>, <kernel.DependentProduct object at 0x2adea05c45f0>) of role type named sy_c_Finite__Set_Ofinite_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring finite_finite_real:(set_real->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c41b8>, <kernel.DependentProduct object at 0x2adea05c4638>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring finite6551019134538273531omplex:(set_set_complex->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c45f0>, <kernel.DependentProduct object at 0x2adea05c46c8>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Int__Oint_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring finite6197958912794628473et_int:(set_set_int->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c4638>, <kernel.DependentProduct object at 0x2adea05c4758>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring finite1152437895449049373et_nat:(set_set_nat->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c46c8>, <kernel.DependentProduct object at 0x2adea05c47e8>) of role type named sy_c_Finite__Set_Ofinite_001t__VEBT____Definitions__OVEBT
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring finite5795047828879050333T_VEBT:(set_VEBT_VEBT->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c4758>, <kernel.DependentProduct object at 0x2adea05c4638>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c4908>, <kernel.DependentProduct object at 0x2adea05c47a0>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c4950>, <kernel.DependentProduct object at 0x2adea05c46c8>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c4908>, <kernel.DependentProduct object at 0x2adea05c4950>) 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
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comp_C8797469213163452608nteger:(((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->(code_integer->code_integer))->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c46c8>, <kernel.DependentProduct object at 0x2adea05c4908>) 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
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comp_C1593894019821074884nteger:((code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->code_integer)->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c4950>, <kernel.DependentProduct object at 0x2adea05c4ab8>) of role type named sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comp_C3531382070062128313er_num:((code_integer->code_integer)->((num->code_integer)->(num->code_integer)))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c4638>, <kernel.DependentProduct object at 0x2adea05c46c8>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Int__Oint_001t__Num__Onum
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comp_int_int_num:((int->int)->((num->int)->(num->int)))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c4c20>, <kernel.DependentProduct object at 0x2adea05c47a0>) of role type named sy_c_Fun_Oid_001_Eo
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring id_o:(Prop->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c4320>, <kernel.DependentProduct object at 0x2adea05c4c68>) of role type named sy_c_Fun_Oid_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring id_nat:(nat->nat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c4638>, <kernel.DependentProduct object at 0x2adea05c4b48>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001_062_It__Int__Oint_M_Eo_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring map_fu434086159418415080_int_o:((int->product_prod_nat_nat)->(((product_prod_nat_nat->Prop)->(int->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(int->(int->Prop)))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c4320>, <kernel.DependentProduct object at 0x2adea05c4ab8>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring map_fu4960017516451851995nt_int:((int->product_prod_nat_nat)->(((product_prod_nat_nat->product_prod_nat_nat)->(int->int))->((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(int->(int->int)))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2adea05c4b48>, <kernel.DependentProduct object at 0x2adea05c4320>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo_001_Eo
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring map_fu4826362097070443709at_o_o:((int->product_prod_nat_nat)->((Prop->Prop)->((product_prod_nat_nat->Prop)->(int->Prop))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c4ab8>, <kernel.DependentProduct object at 0x2adea05c4ef0>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring map_fu2345160673673942751at_nat:((int->product_prod_nat_nat)->((nat->nat)->((product_prod_nat_nat->nat)->(int->nat))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c4320>, <kernel.DependentProduct object at 0x2adea05c4fc8>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring map_fu3667384564859982768at_int:((int->product_prod_nat_nat)->((product_prod_nat_nat->int)->((product_prod_nat_nat->product_prod_nat_nat)->(int->int))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c4ef0>, <kernel.DependentProduct object at 0x2adea05c4e60>) of role type named sy_c_Fun_Ostrict__mono__on_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring strict1292158309912662752at_nat:((nat->nat)->(set_nat->Prop))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c4fc8>, <kernel.DependentProduct object at 0x2adea05c4ef0>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c4f38>, <kernel.DependentProduct object at 0x2adea05c8050>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring gcd_Gcd_int:(set_int->int)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c4ea8>, <kernel.DependentProduct object at 0x2adea05c8128>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring gcd_Gcd_nat:(set_nat->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c4ef0>, <kernel.DependentProduct object at 0x2adea05c4fc8>) of role type named sy_c_GCD_Obezw
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bezw:(nat->(nat->product_prod_int_int))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c4f38>, <kernel.DependentProduct object at 0x2adea05c81b8>) of role type named sy_c_GCD_Obezw__rel
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bezw_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c4ef0>, <kernel.DependentProduct object at 0x2adea05c8170>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Code____Numeral__Ointeger
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring gcd_gcd_Code_integer:(code_integer->(code_integer->code_integer))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c4fc8>, <kernel.DependentProduct object at 0x2adea05c8248>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring gcd_gcd_int:(int->(int->int))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c4ef0>, <kernel.DependentProduct object at 0x2adea05c8128>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring gcd_gcd_nat:(nat->(nat->nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c4fc8>, <kernel.DependentProduct object at 0x2adea05c81b8>) of role type named sy_c_GCD_Ogcd__nat__rel
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring gcd_nat_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c4fc8>, <kernel.DependentProduct object at 0x2adea05c8170>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c8248>, <kernel.DependentProduct object at 0x2adea05c8320>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring abs_abs_complex:(complex->complex)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c82d8>, <kernel.DependentProduct object at 0x2adea05c8368>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring abs_abs_int:(int->int)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c81b8>, <kernel.DependentProduct object at 0x2adea05c83b0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring abs_abs_rat:(rat->rat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c8170>, <kernel.DependentProduct object at 0x2adea05c83f8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring abs_abs_real:(real->real)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c81b8>, <kernel.DependentProduct object at 0x2adea05c8488>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring minus_8727706125548526216plex_o:((complex->Prop)->((complex->Prop)->(complex->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c8440>, <kernel.DependentProduct object at 0x2adea05c84d0>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Int__Oint_M_Eo_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring minus_minus_int_o:((int->Prop)->((int->Prop)->(int->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c8518>, <kernel.DependentProduct object at 0x2adea05c85a8>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Nat__Onat_M_Eo_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring minus_minus_nat_o:((nat->Prop)->((nat->Prop)->(nat->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c8440>, <kernel.DependentProduct object at 0x2adea05c85f0>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring minus_711738161318947805_int_o:((product_prod_int_int->Prop)->((product_prod_int_int->Prop)->(product_prod_int_int->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c84d0>, <kernel.DependentProduct object at 0x2adea05c8560>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Real__Oreal_M_Eo_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring minus_minus_real_o:((real->Prop)->((real->Prop)->(real->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c8440>, <kernel.DependentProduct object at 0x2adea05c86c8>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring minus_6910147592129066416_nat_o:((set_nat->Prop)->((set_nat->Prop)->(set_nat->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c8560>, <kernel.DependentProduct object at 0x2adea05c8440>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring minus_8373710615458151222nteger:(code_integer->(code_integer->code_integer))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c8710>, <kernel.DependentProduct object at 0x2adea05c86c8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c8560>, <kernel.DependentProduct object at 0x2adea05c8710>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Extended____Nat__Oenat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring minus_3235023915231533773d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c87a0>, <kernel.DependentProduct object at 0x2adea05c86c8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring minus_minus_int:(int->(int->int))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c85f0>, <kernel.DependentProduct object at 0x2adea05c8560>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c8878>, <kernel.DependentProduct object at 0x2adea05c87a0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring minus_minus_rat:(rat->(rat->rat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2adea05c8440>, <kernel.DependentProduct object at 0x2adea05c85f0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring minus_minus_real:(real->(real->real))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8878>, <kernel.DependentProduct object at 0x2adea05c8440>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8710>, <kernel.DependentProduct object at 0x2adea05c85f0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8758>, <kernel.DependentProduct object at 0x2adea05c8878>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8710>, <kernel.DependentProduct object at 0x2adea05c8440>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring minus_1052850069191792384nt_int:(set_Pr958786334691620121nt_int->(set_Pr958786334691620121nt_int->set_Pr958786334691620121nt_int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8830>, <kernel.DependentProduct object at 0x2adea05c8878>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8710>, <kernel.DependentProduct object at 0x2adea05c8830>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring minus_2163939370556025621et_nat:(set_set_nat->(set_set_nat->set_set_nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8b48>, <kernel.Constant object at 0x2adea05c8830>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring one_one_Code_integer:code_integer
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c85f0>, <kernel.Constant object at 0x2adea05c8830>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring one_one_complex:complex
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8b48>, <kernel.Constant object at 0x2adea05c8440>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c89e0>, <kernel.Constant object at 0x2adea05c8440>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring one_one_int:int
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8c20>, <kernel.Constant object at 0x2adea05c8440>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring one_one_nat:nat
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8c68>, <kernel.Constant object at 0x2adea05c8440>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring one_one_rat:rat
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8cb0>, <kernel.Constant object at 0x2adea05c8440>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring one_one_real:real
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8c68>, <kernel.DependentProduct object at 0x2adea05c8cb0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8e18>, <kernel.DependentProduct object at 0x2adea05c8440>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8c68>, <kernel.DependentProduct object at 0x2adea05c8e18>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8ef0>, <kernel.DependentProduct object at 0x2adea05c8440>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring plus_plus_int:(int->(int->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8cf8>, <kernel.DependentProduct object at 0x2adea05c8c68>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8cb0>, <kernel.DependentProduct object at 0x2adea05c8ef0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring plus_plus_num:(num->(num->num))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8c68>, <kernel.DependentProduct object at 0x2adea05c8440>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8ef0>, <kernel.DependentProduct object at 0x2adea05c8f80>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring plus_plus_real:(real->(real->real))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8440>, <kernel.DependentProduct object at 0x2adea05cc128>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8e18>, <kernel.DependentProduct object at 0x2adea05cc050>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring sgn_sgn_complex:(complex->complex)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8ef0>, <kernel.DependentProduct object at 0x2adea05cc1b8>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring sgn_sgn_int:(int->int)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8440>, <kernel.DependentProduct object at 0x2adea05cc200>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring sgn_sgn_rat:(rat->rat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8ef0>, <kernel.DependentProduct object at 0x2adea05cc248>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring sgn_sgn_real:(real->real)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc200>, <kernel.DependentProduct object at 0x2adea05cc098>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05c8e18>, <kernel.DependentProduct object at 0x2adea05cc050>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring times_times_complex:(complex->(complex->complex))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc290>, <kernel.DependentProduct object at 0x2adea05cc200>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc368>, <kernel.DependentProduct object at 0x2adea05cc050>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring times_times_int:(int->(int->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc1b8>, <kernel.DependentProduct object at 0x2adea05cc290>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring times_times_nat:(nat->(nat->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc440>, <kernel.DependentProduct object at 0x2adea05cc368>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring times_times_num:(num->(num->num))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc098>, <kernel.DependentProduct object at 0x2adea05cc1b8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring times_times_rat:(rat->(rat->rat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc320>, <kernel.DependentProduct object at 0x2adea05cc440>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring times_times_real:(real->(real->real))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc098>, <kernel.DependentProduct object at 0x2adea05cc050>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc440>, <kernel.DependentProduct object at 0x2adea05cc5f0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc200>, <kernel.DependentProduct object at 0x2adea05cc680>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring uminus_uminus_int:(int->int)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc5a8>, <kernel.DependentProduct object at 0x2adea05cc6c8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring uminus_uminus_rat:(rat->rat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc290>, <kernel.DependentProduct object at 0x2adea05cc710>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring uminus_uminus_real:(real->real)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc5a8>, <kernel.DependentProduct object at 0x2adea05cc758>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring uminus8566677241136511917omplex:(set_complex->set_complex)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc710>, <kernel.DependentProduct object at 0x2adea05cc7e8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Int__Oint_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring uminus1532241313380277803et_int:(set_int->set_int)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc758>, <kernel.DependentProduct object at 0x2adea05cc878>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc7e8>, <kernel.DependentProduct object at 0x2adea05cc908>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Real__Oreal_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring uminus612125837232591019t_real:(set_real->set_real)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc878>, <kernel.DependentProduct object at 0x2adea05cc998>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring uminus613421341184616069et_nat:(set_set_nat->set_set_nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc908>, <kernel.Constant object at 0x2adea05cc8c0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring zero_z3403309356797280102nteger:code_integer
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc950>, <kernel.Constant object at 0x2adea05cc8c0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring zero_zero_complex:complex
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cc908>, <kernel.Constant object at 0x2adea05cc5f0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2adea05cca28>, <kernel.Constant object at 0x2adea05cc5f0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring zero_zero_int:int
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2adea05ccab8>, <kernel.Constant object at 0x2adea05cc5f0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring zero_zero_nat:nat
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2adea05ccb00>, <kernel.Constant object at 0x2adea05cc5f0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring zero_zero_rat:rat
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2adea05ccb48>, <kernel.Constant object at 0x2adea05cc5f0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring zero_zero_real:real
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2adea05ccb00>, <kernel.DependentProduct object at 0x2adea05ccb90>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring groups6621422865394947399nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2adea05cc5f0>, <kernel.DependentProduct object at 0x2adea05ccb48>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2adea05ccb90>, <kernel.DependentProduct object at 0x2adea05ccb00>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2adea05ccb48>, <kernel.DependentProduct object at 0x2adea05cc5f0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2adea05ccb00>, <kernel.DependentProduct object at 0x2adea05ccb90>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring groups5058264527183730370ex_rat:((complex->rat)->(set_complex->rat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2adea05cc5f0>, <kernel.DependentProduct object at 0x2adea05ccb48>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2adea05ccb90>, <kernel.DependentProduct object at 0x2adea05ccb00>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring groups7873554091576472773nteger:((int->code_integer)->(set_int->code_integer))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2adea05ccb48>, <kernel.DependentProduct object at 0x2adea05ccbd8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Complex__Ocomplex
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring groups3049146728041665814omplex:((int->complex)->(set_int->complex))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2adea05ccb48>, <kernel.DependentProduct object at 0x2adea05d0098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2adea05ccb48>, <kernel.DependentProduct object at 0x2adea05d0128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2adea05ccb90>, <kernel.DependentProduct object at 0x2adea05d0170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Rat__Orat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring groups3906332499630173760nt_rat:((int->rat)->(set_int->rat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x2adea05d0200>, <kernel.DependentProduct object at 0x2adea05d0248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.54/0.69 Using role type
% 0.54/0.69 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.54/0.69 FOF formula (<kernel.Constant object at 0x2adea05d02d8>, <kernel.DependentProduct object at 0x2adea05d01b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.54/0.69 Using role type
% 0.54/0.69 Declaring groups7501900531339628137nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.54/0.69 FOF formula (<kernel.Constant object at 0x2adea05d0290>, <kernel.DependentProduct object at 0x2adea05d0200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.54/0.69 Using role type
% 0.54/0.69 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.54/0.69 FOF formula (<kernel.Constant object at 0x2adea05d0368>, <kernel.DependentProduct object at 0x2adea05d03f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.54/0.69 Using role type
% 0.54/0.69 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.54/0.69 FOF formula (<kernel.Constant object at 0x2adea05d0290>, <kernel.DependentProduct object at 0x2adea05d02d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.54/0.69 Using role type
% 0.54/0.69 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.54/0.69 FOF formula (<kernel.Constant object at 0x2adea05d03f8>, <kernel.DependentProduct object at 0x2adea05d0368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Rat__Orat
% 0.54/0.69 Using role type
% 0.54/0.69 Declaring groups2906978787729119204at_rat:((nat->rat)->(set_nat->rat))
% 0.54/0.69 FOF formula (<kernel.Constant object at 0x2adea05d02d8>, <kernel.DependentProduct object at 0x2adea05d0290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.54/0.69 Using role type
% 0.54/0.69 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.54/0.69 FOF formula (<kernel.Constant object at 0x2adea05d0368>, <kernel.DependentProduct object at 0x2adea05d03f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.54/0.69 Using role type
% 0.54/0.69 Declaring groups7713935264441627589nteger:((real->code_integer)->(set_real->code_integer))
% 0.54/0.69 FOF formula (<kernel.Constant object at 0x2adea05d0290>, <kernel.DependentProduct object at 0x2adea05d02d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.54/0.69 Using role type
% 0.54/0.69 Declaring groups5754745047067104278omplex:((real->complex)->(set_real->complex))
% 0.54/0.69 FOF formula (<kernel.Constant object at 0x2adea05d03f8>, <kernel.DependentProduct object at 0x2adea05d0368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Int__Oint
% 0.54/0.69 Using role type
% 0.54/0.69 Declaring groups1932886352136224148al_int:((real->int)->(set_real->int))
% 0.54/0.69 FOF formula (<kernel.Constant object at 0x2adea05d02d8>, <kernel.DependentProduct object at 0x2adea05d0290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.54/0.69 Using role type
% 0.54/0.69 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.54/0.69 FOF formula (<kernel.Constant object at 0x2adea05d0368>, <kernel.DependentProduct object at 0x2adea05d03f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Rat__Orat
% 0.54/0.69 Using role type
% 0.54/0.69 Declaring groups1300246762558778688al_rat:((real->rat)->(set_real->rat))
% 0.54/0.69 FOF formula (<kernel.Constant object at 0x2adea05d0290>, <kernel.DependentProduct object at 0x2adea05d02d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.54/0.69 Using role type
% 0.54/0.69 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.54/0.69 FOF formula (<kernel.Constant object at 0x2adea05d03f8>, <kernel.DependentProduct object at 0x2adea05d0368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Complex__Ocomplex
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring groups8255218700646806128omplex:((set_nat->complex)->(set_set_nat->complex))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d02d8>, <kernel.DependentProduct object at 0x2adea05d0290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring groups8294997508430121362at_nat:((set_nat->nat)->(set_set_nat->nat))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d0368>, <kernel.DependentProduct object at 0x2adea05d03f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Real__Oreal
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring groups5107569545109728110t_real:((set_nat->real)->(set_set_nat->real))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d0290>, <kernel.DependentProduct object at 0x2adea05d02d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d03f8>, <kernel.DependentProduct object at 0x2adea05d0368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d02d8>, <kernel.DependentProduct object at 0x2adea05d0290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d0368>, <kernel.DependentProduct object at 0x2adea05d02d8>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Int__Oint
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring groups9116527308978886569_o_int:((Prop->int)->(int->(list_o->int)))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d0290>, <kernel.DependentProduct object at 0x2adea05d0ef0>) of role type named sy_c_Groups__List_Omonoid__add__class_Osum__list_001t__Nat__Onat
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring groups4561878855575611511st_nat:(list_nat->nat)
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d0320>, <kernel.DependentProduct object at 0x2adea05d0f38>) of role type named sy_c_HOL_OThe_001t__Int__Oint
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring the_int:((int->Prop)->int)
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d0e18>, <kernel.DependentProduct object at 0x2adea05d0f80>) of role type named sy_c_HOL_OThe_001t__Real__Oreal
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring the_real:((real->Prop)->real)
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d0368>, <kernel.DependentProduct object at 0x2adea05d0fc8>) of role type named sy_c_If_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring if_int_int:(Prop->((int->int)->((int->int)->(int->int))))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d0ef0>, <kernel.DependentProduct object at 0x2adea05d0fc8>) of role type named sy_c_If_001t__Code____Numeral__Ointeger
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring if_Code_integer:(Prop->(code_integer->(code_integer->code_integer)))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d0d40>, <kernel.DependentProduct object at 0x2adea05d0f80>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d0ef0>, <kernel.DependentProduct object at 0x2adea05d0d40>) of role type named sy_c_If_001t__Extended____Nat__Oenat
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring if_Extended_enat:(Prop->(extended_enat->(extended_enat->extended_enat)))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d0368>, <kernel.DependentProduct object at 0x2adea05d5170>) of role type named sy_c_If_001t__Int__Oint
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring if_int:(Prop->(int->(int->int)))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d0fc8>, <kernel.DependentProduct object at 0x2adea05d5050>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d0ef0>, <kernel.DependentProduct object at 0x2adea05d51b8>) of role type named sy_c_If_001t__List__Olist_It__Nat__Onat_J
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring if_list_nat:(Prop->(list_nat->(list_nat->list_nat)))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d0368>, <kernel.DependentProduct object at 0x2adea05d5128>) of role type named sy_c_If_001t__Nat__Onat
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d0ef0>, <kernel.DependentProduct object at 0x2adea05d5128>) of role type named sy_c_If_001t__Num__Onum
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring if_num:(Prop->(num->(num->num)))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d0368>, <kernel.DependentProduct object at 0x2adea05d5128>) of role type named sy_c_If_001t__Option__Ooption_It__Nat__Onat_J
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring if_option_nat:(Prop->(option_nat->(option_nat->option_nat)))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d0ef0>, <kernel.DependentProduct object at 0x2adea05d5128>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d5290>, <kernel.DependentProduct object at 0x2adea05d5098>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring if_Pro5737122678794959658eger_o:(Prop->(produc6271795597528267376eger_o->(produc6271795597528267376eger_o->produc6271795597528267376eger_o)))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d5320>, <kernel.DependentProduct object at 0x2adea05d5128>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d5098>, <kernel.DependentProduct object at 0x2adea05d50e0>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d5128>, <kernel.DependentProduct object at 0x2adea05d52d8>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d5488>, <kernel.DependentProduct object at 0x2adea05d52d8>) of role type named sy_c_If_001t__Rat__Orat
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d5518>, <kernel.DependentProduct object at 0x2adea05d52d8>) of role type named sy_c_If_001t__Real__Oreal
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring if_real:(Prop->(real->(real->real)))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d55f0>, <kernel.DependentProduct object at 0x2adea05d52d8>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d5638>, <kernel.DependentProduct object at 0x2adea05d52d8>) of role type named sy_c_If_001t__VEBT____Definitions__OVEBT
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring if_VEBT_VEBT:(Prop->(vEBT_VEBT->(vEBT_VEBT->vEBT_VEBT)))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d5680>, <kernel.DependentProduct object at 0x2adea05d56c8>) of role type named sy_c_Int_OAbs__Integ
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring abs_Integ:(product_prod_nat_nat->int)
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d5170>, <kernel.DependentProduct object at 0x2adea05d55a8>) of role type named sy_c_Int_ORep__Integ
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring rep_Integ:(int->product_prod_nat_nat)
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2adea05d5248>, <kernel.DependentProduct object at 0x2adea05d5170>) of role type named sy_c_Int_Oint__ge__less__than
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring int_ge_less_than:(int->set_Pr958786334691620121nt_int)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5488>, <kernel.DependentProduct object at 0x2adea05d55a8>) of role type named sy_c_Int_Oint__ge__less__than2
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring int_ge_less_than2:(int->set_Pr958786334691620121nt_int)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d55f0>, <kernel.DependentProduct object at 0x2adea05d5710>) of role type named sy_c_Int_Onat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring nat2:(int->nat)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d55a8>, <kernel.Constant object at 0x2adea05d5710>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Complex__Ocomplex
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring ring_1_Ints_complex:set_complex
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5488>, <kernel.Constant object at 0x2adea05d5710>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Real__Oreal
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring ring_1_Ints_real:set_real
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d55a8>, <kernel.DependentProduct object at 0x2adea05d5830>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5710>, <kernel.DependentProduct object at 0x2adea05d58c0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5758>, <kernel.DependentProduct object at 0x2adea05d5950>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring ring_1_of_int_int:(int->int)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d57e8>, <kernel.DependentProduct object at 0x2adea05d5998>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Rat__Orat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring ring_1_of_int_rat:(int->rat)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5878>, <kernel.DependentProduct object at 0x2adea05d59e0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring ring_1_of_int_real:(int->real)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d57e8>, <kernel.DependentProduct object at 0x2adea05d5a28>) of role type named sy_c_Lattices_Osemilattice__neutr__order_001t__Nat__Onat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring semila1623282765462674594er_nat:((nat->(nat->nat))->(nat->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d59e0>, <kernel.DependentProduct object at 0x2adea05d57e8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Extended____Nat__Oenat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring sup_su3973961784419623482d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5b00>, <kernel.DependentProduct object at 0x2adea05d5a28>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring sup_sup_nat:(nat->(nat->nat))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5a70>, <kernel.DependentProduct object at 0x2adea05d59e0>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring sup_sup_set_nat:(set_nat->(set_nat->set_nat))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5b00>, <kernel.DependentProduct object at 0x2adea05d5ab8>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Int__Oint
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring lattic8263393255366662781ax_int:(set_int->int)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d59e0>, <kernel.DependentProduct object at 0x2adea05d5c68>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d58c0>, <kernel.DependentProduct object at 0x2adea05d5bd8>) of role type named sy_c_Limits_OBfun_001t__Nat__Onat_001t__Real__Oreal
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring bfun_nat_real:((nat->real)->(filter_nat->Prop))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5c68>, <kernel.Constant object at 0x2adea05d5bd8>) of role type named sy_c_Limits_Oat__infinity_001t__Real__Oreal
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring at_infinity_real:filter_real
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d56c8>, <kernel.DependentProduct object at 0x2adea05d5c68>) of role type named sy_c_List_Oappend_001t__Int__Oint
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring append_int:(list_int->(list_int->list_int))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5cf8>, <kernel.DependentProduct object at 0x2adea05d5bd8>) of role type named sy_c_List_Oappend_001t__Nat__Onat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring append_nat:(list_nat->(list_nat->list_nat))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5dd0>, <kernel.DependentProduct object at 0x2adea05d5ea8>) of role type named sy_c_List_Odistinct_001t__Int__Oint
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring distinct_int:(list_int->Prop)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5e18>, <kernel.DependentProduct object at 0x2adea05d5b00>) of role type named sy_c_List_Odistinct_001t__Nat__Onat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring distinct_nat:(list_nat->Prop)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d58c0>, <kernel.DependentProduct object at 0x2adea05d5d40>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5cf8>, <kernel.DependentProduct object at 0x2adea05d5e18>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring cons_int:(int->(list_int->list_int))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5f38>, <kernel.DependentProduct object at 0x2adea05d58c0>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5f80>, <kernel.Constant object at 0x2adea05d58c0>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring nil_int:list_int
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5e18>, <kernel.Constant object at 0x2adea05d58c0>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring nil_nat:list_nat
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5dd0>, <kernel.DependentProduct object at 0x2adea05d5d40>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__Nat__Onat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring map_nat_nat:((nat->nat)->(list_nat->list_nat))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d58c0>, <kernel.DependentProduct object at 0x2adea05d6128>) of role type named sy_c_List_Olist_Oset_001_Eo
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring set_o2:(list_o->set_o)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5bd8>, <kernel.DependentProduct object at 0x2adea05d60e0>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring set_complex2:(list_complex->set_complex)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5e18>, <kernel.DependentProduct object at 0x2adea05d6170>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring set_int2:(list_int->set_int)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d58c0>, <kernel.DependentProduct object at 0x2adea05d61b8>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring set_nat2:(list_nat->set_nat)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5bd8>, <kernel.DependentProduct object at 0x2adea05d6200>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring set_real2:(list_real->set_real)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d58c0>, <kernel.DependentProduct object at 0x2adea05d6248>) of role type named sy_c_List_Olist_Oset_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring set_set_nat2:(list_set_nat->set_set_nat)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2adea05d5e18>, <kernel.DependentProduct object at 0x2adea05d6290>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d5e18>, <kernel.DependentProduct object at 0x2adea05d6050>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6098>, <kernel.DependentProduct object at 0x2adea05d61b8>) of role type named sy_c_List_Olist__update_001_Eo
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring list_update_o:(list_o->(nat->(Prop->list_o)))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6128>, <kernel.DependentProduct object at 0x2adea05d60e0>) of role type named sy_c_List_Olist__update_001t__Complex__Ocomplex
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring list_update_complex:(list_complex->(nat->(complex->list_complex)))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6368>, <kernel.DependentProduct object at 0x2adea05d6050>) of role type named sy_c_List_Olist__update_001t__Int__Oint
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring list_update_int:(list_int->(nat->(int->list_int)))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6488>, <kernel.DependentProduct object at 0x2adea05d6128>) of role type named sy_c_List_Olist__update_001t__Nat__Onat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring list_update_nat:(list_nat->(nat->(nat->list_nat)))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d64d0>, <kernel.DependentProduct object at 0x2adea05d6368>) of role type named sy_c_List_Olist__update_001t__Real__Oreal
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring list_update_real:(list_real->(nat->(real->list_real)))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6518>, <kernel.DependentProduct object at 0x2adea05d6488>) of role type named sy_c_List_Olist__update_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring list_update_set_nat:(list_set_nat->(nat->(set_nat->list_set_nat)))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d64d0>, <kernel.DependentProduct object at 0x2adea05d6518>) of role type named sy_c_List_Olist__update_001t__VEBT____Definitions__OVEBT
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring list_u1324408373059187874T_VEBT:(list_VEBT_VEBT->(nat->(vEBT_VEBT->list_VEBT_VEBT)))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d65a8>, <kernel.DependentProduct object at 0x2adea05d6488>) of role type named sy_c_List_Onth_001_Eo
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring nth_o:(list_o->(nat->Prop))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6560>, <kernel.DependentProduct object at 0x2adea05d64d0>) of role type named sy_c_List_Onth_001t__Complex__Ocomplex
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring nth_complex:(list_complex->(nat->complex))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6170>, <kernel.DependentProduct object at 0x2adea05d6560>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring nth_int:(list_int->(nat->int))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d65f0>, <kernel.DependentProduct object at 0x2adea05d64d0>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring nth_nat:(list_nat->(nat->nat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6680>, <kernel.DependentProduct object at 0x2adea05d65a8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring nth_Product_prod_o_o:(list_P4002435161011370285od_o_o->(nat->product_prod_o_o))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6170>, <kernel.DependentProduct object at 0x2adea05d6680>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring nth_Pr1649062631805364268_o_int:(list_P3795440434834930179_o_int->(nat->product_prod_o_int))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d65a8>, <kernel.DependentProduct object at 0x2adea05d6170>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring nth_Pr5826913651314560976_o_nat:(list_P6285523579766656935_o_nat->(nat->product_prod_o_nat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6680>, <kernel.DependentProduct object at 0x2adea05d65a8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring nth_Pr6777367263587873994T_VEBT:(list_P7495141550334521929T_VEBT->(nat->produc2504756804600209347T_VEBT))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6170>, <kernel.DependentProduct object at 0x2adea05d6680>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring nth_Pr112076138515278198_nat_o:(list_P7333126701944960589_nat_o->(nat->product_prod_nat_o))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d65a8>, <kernel.DependentProduct object at 0x2adea05d6170>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring nth_Pr744662078594809490T_VEBT:(list_P5647936690300460905T_VEBT->(nat->produc8025551001238799321T_VEBT))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6680>, <kernel.DependentProduct object at 0x2adea05d65a8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6170>, <kernel.DependentProduct object at 0x2adea05d6680>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring nth_Pr6837108013167703752BT_int:(list_P4547456442757143711BT_int->(nat->produc4894624898956917775BT_int))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d65a8>, <kernel.DependentProduct object at 0x2adea05d6170>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring nth_Pr1791586995822124652BT_nat:(list_P7037539587688870467BT_nat->(nat->produc9072475918466114483BT_nat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6680>, <kernel.DependentProduct object at 0x2adea05d65a8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6248>, <kernel.DependentProduct object at 0x2adea05d6680>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring nth_real:(list_real->(nat->real))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6c20>, <kernel.DependentProduct object at 0x2adea05d6170>) of role type named sy_c_List_Onth_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring nth_set_nat:(list_set_nat->(nat->set_nat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6cb0>, <kernel.DependentProduct object at 0x2adea05d65a8>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6b90>, <kernel.DependentProduct object at 0x2adea05d6cb0>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6d40>, <kernel.DependentProduct object at 0x2adea05d6c20>) of role type named sy_c_List_Oproduct_001_Eo_001t__Int__Oint
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring product_o_int:(list_o->(list_int->list_P3795440434834930179_o_int))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6d88>, <kernel.DependentProduct object at 0x2adea05d65a8>) of role type named sy_c_List_Oproduct_001_Eo_001t__Nat__Onat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring product_o_nat:(list_o->(list_nat->list_P6285523579766656935_o_nat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2adea05d6170>, <kernel.DependentProduct object at 0x2adea05d6d40>) of role type named sy_c_List_Oproduct_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring product_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05d65f0>, <kernel.DependentProduct object at 0x2adea05d6d88>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001_Eo
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring product_nat_o:(list_nat->(list_o->list_P7333126701944960589_nat_o))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05d6170>, <kernel.DependentProduct object at 0x2adea05d65f0>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring produc7156399406898700509T_VEBT:(list_nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05d6e18>, <kernel.DependentProduct object at 0x2adea05d6d88>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05d6170>, <kernel.DependentProduct object at 0x2adea05d6e18>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring produc7292646706713671643BT_int:(list_VEBT_VEBT->(list_int->list_P4547456442757143711BT_int))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05d6d88>, <kernel.DependentProduct object at 0x2adea05d6170>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring produc7295137177222721919BT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05d6e18>, <kernel.DependentProduct object at 0x2adea05d6d88>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05d6c68>, <kernel.DependentProduct object at 0x2adea05db128>) of role type named sy_c_List_Oremdups_001t__Nat__Onat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring remdups_nat:(list_nat->list_nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05d6e60>, <kernel.DependentProduct object at 0x2adea05db0e0>) of role type named sy_c_List_Oreplicate_001_Eo
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring replicate_o:(nat->(Prop->list_o))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05d6ef0>, <kernel.DependentProduct object at 0x2adea05db170>) of role type named sy_c_List_Oreplicate_001t__Complex__Ocomplex
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring replicate_complex:(nat->(complex->list_complex))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05d6d88>, <kernel.DependentProduct object at 0x2adea05db200>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring replicate_int:(nat->(int->list_int))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05d6e60>, <kernel.DependentProduct object at 0x2adea05db248>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05d6d88>, <kernel.DependentProduct object at 0x2adea05db098>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring replicate_real:(nat->(real->list_real))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05d6e60>, <kernel.DependentProduct object at 0x2adea05db170>) of role type named sy_c_List_Oreplicate_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring replicate_set_nat:(nat->(set_nat->list_set_nat))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05d6e60>, <kernel.DependentProduct object at 0x2adea05db290>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db050>, <kernel.DependentProduct object at 0x2adea05db200>) of role type named sy_c_List_Oupt
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring upt:(nat->(nat->list_nat))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db1b8>, <kernel.DependentProduct object at 0x2adea05db0e0>) of role type named sy_c_List_Oupto
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring upto:(int->(int->list_int))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db248>, <kernel.DependentProduct object at 0x2adea05db050>) of role type named sy_c_List_Oupto__aux
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db170>, <kernel.DependentProduct object at 0x2adea05db1b8>) of role type named sy_c_List_Oupto__rel
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring upto_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db440>, <kernel.DependentProduct object at 0x2adea05db098>) of role type named sy_c_Nat_OSuc
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring suc:(nat->nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db0e0>, <kernel.DependentProduct object at 0x2adea05db518>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db2d8>, <kernel.DependentProduct object at 0x2adea05db5a8>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db170>, <kernel.DependentProduct object at 0x2adea05db560>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db488>, <kernel.DependentProduct object at 0x2adea05db5f0>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Option__Ooption_It__Num__Onum_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring case_nat_option_num:(option_num->((nat->option_num)->(nat->option_num)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db638>, <kernel.DependentProduct object at 0x2adea05db518>) of role type named sy_c_Nat_Onat_Opred
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring pred:(nat->nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db488>, <kernel.DependentProduct object at 0x2adea05db680>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db518>, <kernel.DependentProduct object at 0x2adea05db440>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db680>, <kernel.DependentProduct object at 0x2adea05db710>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Extended____Nat__Oenat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring semiri4216267220026989637d_enat:(nat->extended_enat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db440>, <kernel.DependentProduct object at 0x2adea05db7a0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db710>, <kernel.DependentProduct object at 0x2adea05db830>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db7a0>, <kernel.DependentProduct object at 0x2adea05db8c0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db830>, <kernel.DependentProduct object at 0x2adea05db950>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db2d8>, <kernel.DependentProduct object at 0x2adea05db9e0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring size_size_list_o:(list_o->nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db830>, <kernel.DependentProduct object at 0x2adea05dba28>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db878>, <kernel.DependentProduct object at 0x2adea05dbab8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring size_size_list_int:(list_int->nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db950>, <kernel.DependentProduct object at 0x2adea05dbb00>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring size_size_list_nat:(list_nat->nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05db878>, <kernel.DependentProduct object at 0x2adea05dbb48>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring size_s1515746228057227161od_o_o:(list_P4002435161011370285od_o_o->nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05dbb00>, <kernel.DependentProduct object at 0x2adea05dbbd8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring size_s2953683556165314199_o_int:(list_P3795440434834930179_o_int->nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05dbb48>, <kernel.DependentProduct object at 0x2adea05dbc68>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring size_s5443766701097040955_o_nat:(list_P6285523579766656935_o_nat->nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05dbbd8>, <kernel.DependentProduct object at 0x2adea05dbcf8>) 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
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring size_s4313452262239582901T_VEBT:(list_P7495141550334521929T_VEBT->nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05dbc68>, <kernel.DependentProduct object at 0x2adea05dbd88>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring size_s6491369823275344609_nat_o:(list_P7333126701944960589_nat_o->nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05dbcf8>, <kernel.DependentProduct object at 0x2adea05dbe18>) 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
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring size_s4762443039079500285T_VEBT:(list_P5647936690300460905T_VEBT->nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05dbd88>, <kernel.DependentProduct object at 0x2adea05dbea8>) 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
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring size_s9168528473962070013VEBT_o:(list_P3126845725202233233VEBT_o->nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05dbe18>, <kernel.DependentProduct object at 0x2adea05dbf38>) 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
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring size_s3661962791536183091BT_int:(list_P4547456442757143711BT_int->nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05dbea8>, <kernel.DependentProduct object at 0x2adea05dbfc8>) 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
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring size_s6152045936467909847BT_nat:(list_P7037539587688870467BT_nat->nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05dbf38>, <kernel.DependentProduct object at 0x2adea05de098>) 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
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring size_s7466405169056248089T_VEBT:(list_P7413028617227757229T_VEBT->nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adea05dbf80>, <kernel.DependentProduct object at 0x2adea05de128>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring size_size_list_real:(list_real->nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05dbf38>, <kernel.DependentProduct object at 0x2adea05de170>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring size_s3254054031482475050et_nat:(list_set_nat->nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05dbf38>, <kernel.DependentProduct object at 0x2adea05de200>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05dbe18>, <kernel.DependentProduct object at 0x2adea05de290>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring size_size_num:(num->nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05dbf38>, <kernel.DependentProduct object at 0x2adea05de2d8>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Nat__Onat_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring size_size_option_nat:(option_nat->nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05dbea8>, <kernel.DependentProduct object at 0x2adea05de320>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring size_size_option_num:(option_num->nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de128>, <kernel.DependentProduct object at 0x2adea05de368>) 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
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de2d8>, <kernel.DependentProduct object at 0x2adea05de3f8>) of role type named sy_c_Nat_Osize__class_Osize_001t__String__Ochar
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring size_size_char:(char->nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de368>, <kernel.DependentProduct object at 0x2adea05de440>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de248>, <kernel.DependentProduct object at 0x2adea05de4d0>) of role type named sy_c_Nat__Bijection_Olist__encode
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nat_list_encode:(list_nat->nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de3f8>, <kernel.DependentProduct object at 0x2adea05de2d8>) of role type named sy_c_Nat__Bijection_Olist__encode__rel
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nat_list_encode_rel:(list_nat->(list_nat->Prop))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de128>, <kernel.DependentProduct object at 0x2adea05de440>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de3f8>, <kernel.DependentProduct object at 0x2adea05de128>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de200>, <kernel.DependentProduct object at 0x2adea05de638>) of role type named sy_c_Nat__Bijection_Oprod__encode
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nat_prod_encode:(product_prod_nat_nat->nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de4d0>, <kernel.DependentProduct object at 0x2adea05de680>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nat_set_decode:(nat->set_nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de368>, <kernel.DependentProduct object at 0x2adea05de6c8>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nat_set_encode:(set_nat->nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de170>, <kernel.DependentProduct object at 0x2adea05de710>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nat_triangle:(nat->nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de638>, <kernel.DependentProduct object at 0x2adea05de440>) of role type named sy_c_NthRoot_Oroot
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring root:(nat->(real->real))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de4d0>, <kernel.DependentProduct object at 0x2adea05de758>) of role type named sy_c_NthRoot_Osqrt
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring sqrt:(real->real)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de680>, <kernel.DependentProduct object at 0x2adea05de710>) of role type named sy_c_Num_OBitM
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring bitM:(num->num)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de170>, <kernel.DependentProduct object at 0x2adea05de7e8>) of role type named sy_c_Num_Oinc
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring inc:(num->num)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de680>, <kernel.DependentProduct object at 0x2adea05de830>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de7e8>, <kernel.DependentProduct object at 0x2adea05de8c0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de440>, <kernel.DependentProduct object at 0x2adea05de950>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring neg_numeral_dbl_int:(int->int)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de4d0>, <kernel.DependentProduct object at 0x2adea05de998>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de878>, <kernel.DependentProduct object at 0x2adea05de9e0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring neg_numeral_dbl_real:(real->real)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de4d0>, <kernel.DependentProduct object at 0x2adea05dea28>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05de9e0>, <kernel.DependentProduct object at 0x2adea05deab8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05dea28>, <kernel.DependentProduct object at 0x2adea05deb48>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05deab8>, <kernel.DependentProduct object at 0x2adea05debd8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05deb48>, <kernel.DependentProduct object at 0x2adea05dec68>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05debd8>, <kernel.DependentProduct object at 0x2adea05decf8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Code____Numeral__Ointeger
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring neg_nu5831290666863070958nteger:(code_integer->code_integer)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05dec68>, <kernel.DependentProduct object at 0x2adea05ded88>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Complex__Ocomplex
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring neg_nu8557863876264182079omplex:(complex->complex)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2adea05decf8>, <kernel.DependentProduct object at 0x2adea05dee18>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Int__Oint
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring neg_nu5851722552734809277nc_int:(int->int)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2adea05ded88>, <kernel.DependentProduct object at 0x2adea05deea8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Rat__Orat
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring neg_nu5219082963157363817nc_rat:(rat->rat)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2adea05dee18>, <kernel.DependentProduct object at 0x2adea05def38>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Real__Oreal
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring neg_nu8295874005876285629c_real:(real->real)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2adea05de8c0>, <kernel.DependentProduct object at 0x2adea05deea8>) of role type named sy_c_Num_Oneg__numeral__class_Osub_001t__Int__Oint
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring neg_numeral_sub_int:(num->(num->int))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2adea05defc8>, <kernel.DependentProduct object at 0x18d5098>) of role type named sy_c_Num_Onum_OBit0
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring bit0:(num->num)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2adea05deef0>, <kernel.DependentProduct object at 0x18d5050>) of role type named sy_c_Num_Onum_OBit1
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring bit1:(num->num)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2adea05deea8>, <kernel.Constant object at 0x2adea05dee60>) of role type named sy_c_Num_Onum_OOne
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring one:num
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2adea05de8c0>, <kernel.DependentProduct object at 0x18d51b8>) of role type named sy_c_Num_Onum_Ocase__num_001t__Option__Ooption_It__Num__Onum_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring case_num_option_num:(option_num->((num->option_num)->((num->option_num)->(num->option_num))))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2adea05def38>, <kernel.DependentProduct object at 0x18d5128>) of role type named sy_c_Num_Onum_Osize__num
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring size_num:(num->nat)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2adea05deea8>, <kernel.DependentProduct object at 0x18d5098>) of role type named sy_c_Num_Onum__of__nat
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring num_of_nat:(nat->num)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2adea05def38>, <kernel.DependentProduct object at 0x18d50e0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d51b8>, <kernel.DependentProduct object at 0x18d5290>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring numera6690914467698888265omplex:(num->complex)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5050>, <kernel.DependentProduct object at 0x18d5320>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2adea05de8c0>, <kernel.DependentProduct object at 0x18d53b0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring numeral_numeral_int:(num->int)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5320>, <kernel.DependentProduct object at 0x18d53f8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring numeral_numeral_nat:(num->nat)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5290>, <kernel.DependentProduct object at 0x18d5440>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring numeral_numeral_rat:(num->rat)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5050>, <kernel.DependentProduct object at 0x18d5488>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring numeral_numeral_real:(num->real)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d53b0>, <kernel.DependentProduct object at 0x18d5290>) of role type named sy_c_Num_Opow
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring pow:(num->(num->num))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d54d0>, <kernel.DependentProduct object at 0x18d5518>) of role type named sy_c_Num_Opred__numeral
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring pred_numeral:(num->nat)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5440>, <kernel.DependentProduct object at 0x18d53f8>) of role type named sy_c_Num_Osqr
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring sqr:(num->num)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5488>, <kernel.Constant object at 0x18d53f8>) of role type named sy_c_Option_Ooption_ONone_001t__Nat__Onat
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring none_nat:option_nat
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5518>, <kernel.Constant object at 0x18d53f8>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring none_num:option_num
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5488>, <kernel.Constant object at 0x18d5050>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d55a8>, <kernel.DependentProduct object at 0x18d56c8>) of role type named sy_c_Option_Ooption_OSome_001t__Nat__Onat
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring some_nat:(nat->option_nat)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d53b0>, <kernel.DependentProduct object at 0x18d5710>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring some_num:(num->option_num)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d55a8>, <kernel.DependentProduct object at 0x18d53b0>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5710>, <kernel.DependentProduct object at 0x18d57e8>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5830>, <kernel.DependentProduct object at 0x18d5908>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Int__Oint_001t__Num__Onum
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring case_option_int_num:(int->((num->int)->(option_num->int)))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d58c0>, <kernel.DependentProduct object at 0x18d5950>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5830>, <kernel.DependentProduct object at 0x18d55a8>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d59e0>, <kernel.DependentProduct object at 0x18d5758>) of role type named sy_c_Option_Ooption_Osize__option_001t__Nat__Onat
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring size_option_nat:((nat->nat)->(option_nat->nat))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5950>, <kernel.DependentProduct object at 0x18d5998>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d59e0>, <kernel.DependentProduct object at 0x18d5a28>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5830>, <kernel.DependentProduct object at 0x18d5758>) of role type named sy_c_Option_Ooption_Othe_001t__Nat__Onat
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring the_nat:(option_nat->nat)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d53b0>, <kernel.DependentProduct object at 0x18d5b00>) of role type named sy_c_Option_Ooption_Othe_001t__Num__Onum
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring the_num:(option_num->num)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5830>, <kernel.DependentProduct object at 0x18d5b48>) of role type named sy_c_Option_Ooption_Othe_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring the_Pr8591224930841456533at_nat:(option4927543243414619207at_nat->product_prod_nat_nat)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5b00>, <kernel.Constant object at 0x18d5998>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Extended____Nat__Oenat
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring bot_bo4199563552545308370d_enat:extended_enat
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d59e0>, <kernel.Constant object at 0x18d5998>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring bot_bot_nat:nat
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5b90>, <kernel.Constant object at 0x18d5998>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring bot_bot_set_complex:set_complex
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d59e0>, <kernel.Constant object at 0x18d5758>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring bot_bo7653980558646680370d_enat:set_Extended_enat
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5c20>, <kernel.Constant object at 0x18d5758>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring bot_bot_set_int:set_int
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5cb0>, <kernel.Constant object at 0x18d5758>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring bot_bot_set_nat:set_nat
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5cf8>, <kernel.Constant object at 0x18d5758>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Num__Onum_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring bot_bot_set_num:set_num
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5d40>, <kernel.Constant object at 0x18d5758>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Rat__Orat_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring bot_bot_set_rat:set_rat
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5d88>, <kernel.Constant object at 0x18d5758>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring bot_bot_set_real:set_real
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5dd0>, <kernel.Constant object at 0x18d5758>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring bot_bot_set_set_int:set_set_int
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5e18>, <kernel.Constant object at 0x18d5758>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring bot_bot_set_set_nat:set_set_nat
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5dd0>, <kernel.Constant object at 0x18d5bd8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring bot_bo8194388402131092736T_VEBT:set_VEBT_VEBT
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5758>, <kernel.DependentProduct object at 0x18d5dd0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5bd8>, <kernel.DependentProduct object at 0x18bc050>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5f38>, <kernel.DependentProduct object at 0x18bc0e0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring ord_less_int:(int->(int->Prop))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x18d5dd0>, <kernel.DependentProduct object at 0x18bc1b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x18d5bd8>, <kernel.DependentProduct object at 0x18bc200>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring ord_less_num:(num->(num->Prop))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x18d5dd0>, <kernel.DependentProduct object at 0x18bc098>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x18d5bd8>, <kernel.DependentProduct object at 0x18bc1b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring ord_less_real:(real->(real->Prop))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x18bc248>, <kernel.DependentProduct object at 0x18bc2d8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring ord_le1307284697595431911nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x18bc050>, <kernel.DependentProduct object at 0x18bc128>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x18bc320>, <kernel.DependentProduct object at 0x18bc248>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x18bc098>, <kernel.DependentProduct object at 0x18bc050>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x18bc0e0>, <kernel.DependentProduct object at 0x18bc320>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x18bc2d8>, <kernel.DependentProduct object at 0x18bc098>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x18bc128>, <kernel.DependentProduct object at 0x18bc0e0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x18bc248>, <kernel.DependentProduct object at 0x18bc2d8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring ord_less_set_set_int:(set_set_int->(set_set_int->Prop))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x18bc050>, <kernel.DependentProduct object at 0x18bc128>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring ord_less_set_set_nat:(set_set_nat->(set_set_nat->Prop))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x18bc248>, <kernel.DependentProduct object at 0x18bc5f0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring ord_le4573692005234683329plex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x18bc128>, <kernel.DependentProduct object at 0x18bc050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring ord_le6741204236512500942_int_o:((int->(int->Prop))->((int->(int->Prop))->Prop))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x18bc638>, <kernel.DependentProduct object at 0x18bc6c8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_Eo_J
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring ord_less_eq_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x18bc050>, <kernel.DependentProduct object at 0x18bc758>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_Eo_J
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring ord_less_eq_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x18bc6c8>, <kernel.DependentProduct object at 0x18bc7a0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Real__Oreal_M_Eo_J
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring ord_less_eq_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x18bc050>, <kernel.DependentProduct object at 0x18bc7e8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring ord_le3964352015994296041_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x18bc7a0>, <kernel.DependentProduct object at 0x18bc050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x18bc7e8>, <kernel.DependentProduct object at 0x18bc7a0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x18bc050>, <kernel.DependentProduct object at 0x18bc7e8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring ord_le2510731241096832064er_nat:(filter_nat->(filter_nat->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x18bc7a0>, <kernel.DependentProduct object at 0x18bc050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Real__Oreal_J
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring ord_le4104064031414453916r_real:(filter_real->(filter_real->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x18bc998>, <kernel.DependentProduct object at 0x18bc7e8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x18bca28>, <kernel.DependentProduct object at 0x18bc7a0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x18bc878>, <kernel.DependentProduct object at 0x18bc998>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x18bc908>, <kernel.DependentProduct object at 0x18bca28>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x18bc050>, <kernel.DependentProduct object at 0x18bc878>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x18bc7e8>, <kernel.DependentProduct object at 0x18bc908>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_Eo_J
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring ord_less_eq_set_o:(set_o->(set_o->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x18bc050>, <kernel.DependentProduct object at 0x18bc7e8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring ord_le7084787975880047091nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x18bc908>, <kernel.DependentProduct object at 0x18bc050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.61/0.76 Using role type
% 0.61/0.76 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.61/0.76 FOF formula (<kernel.Constant object at 0x18bcc68>, <kernel.DependentProduct object at 0x18bc7e8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18bccf8>, <kernel.DependentProduct object at 0x18bc908>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18bc7a0>, <kernel.DependentProduct object at 0x18bcc68>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Num__Onum_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring ord_less_eq_set_num:(set_num->(set_num->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18bccf8>, <kernel.DependentProduct object at 0x18bc7e8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring ord_le2843351958646193337nt_int:(set_Pr958786334691620121nt_int->(set_Pr958786334691620121nt_int->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18bce18>, <kernel.DependentProduct object at 0x18bcc68>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Rat__Orat_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring ord_less_eq_set_rat:(set_rat->(set_rat->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18bce60>, <kernel.DependentProduct object at 0x18bccf8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18bce18>, <kernel.DependentProduct object at 0x18bce60>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring ord_le4403425263959731960et_int:(set_set_int->(set_set_int->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18bccf8>, <kernel.DependentProduct object at 0x18bce18>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring ord_le6893508408891458716et_nat:(set_set_nat->(set_set_nat->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18bce60>, <kernel.DependentProduct object at 0x18c0050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18bcfc8>, <kernel.DependentProduct object at 0x18bcf80>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Code____Numeral__Ointeger
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring ord_max_Code_integer:(code_integer->(code_integer->code_integer))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18bcfc8>, <kernel.DependentProduct object at 0x18c01b8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Extended____Nat__Oenat
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring ord_ma741700101516333627d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18bcf80>, <kernel.DependentProduct object at 0x18c0170>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring ord_max_int:(int->(int->int))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18bc908>, <kernel.DependentProduct object at 0x18c0290>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring ord_max_nat:(nat->(nat->nat))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18bcf80>, <kernel.DependentProduct object at 0x18c00e0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Num__Onum
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring ord_max_num:(num->(num->num))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18bc908>, <kernel.DependentProduct object at 0x18c01b8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Rat__Orat
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring ord_max_rat:(rat->(rat->rat))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18bc908>, <kernel.DependentProduct object at 0x18c02d8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Real__Oreal
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring ord_max_real:(real->(real->real))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18c0098>, <kernel.DependentProduct object at 0x18c0170>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring ord_max_set_int:(set_int->(set_int->set_int))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18c0050>, <kernel.DependentProduct object at 0x18c0290>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Nat__Onat
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring order_Greatest_nat:((nat->Prop)->nat)
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18c0098>, <kernel.DependentProduct object at 0x18c0248>) of role type named sy_c_Orderings_Oorder__class_Oantimono_001t__Nat__Onat_001t__Real__Oreal
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring order_9091379641038594480t_real:((nat->real)->Prop)
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18c01b8>, <kernel.DependentProduct object at 0x18c0440>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18c03f8>, <kernel.DependentProduct object at 0x18c0290>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Real__Oreal
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring order_mono_nat_real:((nat->real)->Prop)
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18c02d8>, <kernel.Constant object at 0x18c0290>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_Eo_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring top_top_set_o:set_o
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18c04d0>, <kernel.Constant object at 0x18c0290>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring top_top_set_nat:set_nat
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18c02d8>, <kernel.Constant object at 0x18c0488>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Ounit_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring top_to1996260823553986621t_unit:set_Product_unit
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18c0098>, <kernel.Constant object at 0x18c0488>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring top_top_set_real:set_real
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18c0560>, <kernel.Constant object at 0x18c0488>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring top_top_set_char:set_char
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18c0098>, <kernel.DependentProduct object at 0x18c0560>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18c06c8>, <kernel.DependentProduct object at 0x18c0488>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring power_power_complex:(complex->(nat->complex))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18c05a8>, <kernel.DependentProduct object at 0x18c0098>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring power_power_int:(int->(nat->int))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18c07a0>, <kernel.DependentProduct object at 0x18c06c8>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring power_power_nat:(nat->(nat->nat))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18c05f0>, <kernel.DependentProduct object at 0x18c05a8>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring power_power_rat:(rat->(nat->rat))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18c0638>, <kernel.DependentProduct object at 0x18c07a0>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring power_power_real:(real->(nat->real))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x18c05f0>, <kernel.DependentProduct object at 0x18c06c8>) of role type named sy_c_Product__Type_OPair_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc6137756002093451184nteger:((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->produc8763457246119570046nteger))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c07a0>, <kernel.DependentProduct object at 0x18c0098>) of role type named sy_c_Product__Type_OPair_001_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc4305682042979456191nt_int:((int->option6357759511663192854e_term)->(product_prod_int_int->produc7773217078559923341nt_int))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c06c8>, <kernel.DependentProduct object at 0x18c0758>) 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
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc4035269172776083154on_nat:((nat->(nat->Prop))->(produc4953844613479565601on_nat->produc2233624965454879586on_nat))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c0098>, <kernel.DependentProduct object at 0x18c05a8>) 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
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc8929957630744042906on_nat:((nat->(nat->nat))->(produc4953844613479565601on_nat->produc8306885398267862888on_nat))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c0758>, <kernel.DependentProduct object at 0x18c0a28>) 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
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc3576312749637752826on_num:((num->(num->Prop))->(produc3447558737645232053on_num->produc7036089656553540234on_num))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c05a8>, <kernel.DependentProduct object at 0x18c0b00>) 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
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc5778274026573060048on_num:((num->(num->num))->(produc3447558737645232053on_num->produc1193250871479095198on_num))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c0a28>, <kernel.DependentProduct object at 0x18c0bd8>) of role type named sy_c_Product__Type_OPair_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc8603105652947943368nteger:((produc6241069584506657477e_term->option6357759511663192854e_term)->(produc8923325533196201883nteger->produc1908205239877642774nteger))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c0b00>, <kernel.DependentProduct object at 0x18c0b48>) of role type named sy_c_Product__Type_OPair_001_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc5700946648718959541nt_int:((produc8551481072490612790e_term->option6357759511663192854e_term)->(product_prod_int_int->produc2285326912895808259nt_int))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c0bd8>, <kernel.DependentProduct object at 0x18c0950>) 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
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc3994169339658061776at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(produc6121120109295599847at_nat->produc5491161045314408544at_nat))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c0b48>, <kernel.DependentProduct object at 0x18c0c68>) 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
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc2899441246263362727at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(produc6121120109295599847at_nat->produc5542196010084753463at_nat))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c0e18>, <kernel.DependentProduct object at 0x18c0ab8>) of role type named sy_c_Product__Type_OPair_001_Eo_001_Eo
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring product_Pair_o_o:(Prop->(Prop->product_prod_o_o))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c0d88>, <kernel.DependentProduct object at 0x18c0ab8>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Int__Oint
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring product_Pair_o_int:(Prop->(int->product_prod_o_int))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c0c68>, <kernel.DependentProduct object at 0x18c0ab8>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Nat__Onat
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring product_Pair_o_nat:(Prop->(nat->product_prod_o_nat))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c0d88>, <kernel.DependentProduct object at 0x18c0cf8>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc2982872950893828659T_VEBT:(Prop->(vEBT_VEBT->produc2504756804600209347T_VEBT))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c0ab8>, <kernel.DependentProduct object at 0x18c0d88>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c0cf8>, <kernel.DependentProduct object at 0x18c3050>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c0fc8>, <kernel.DependentProduct object at 0x18c0b48>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c0d88>, <kernel.DependentProduct object at 0x18c30e0>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001_Eo
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring product_Pair_nat_o:(nat->(Prop->product_prod_nat_o))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c0fc8>, <kernel.DependentProduct object at 0x18c3170>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c0b48>, <kernel.DependentProduct object at 0x18c3248>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Num__Onum
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring product_Pair_nat_num:(nat->(num->product_prod_nat_num))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c3050>, <kernel.DependentProduct object at 0x18c3290>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc599794634098209291T_VEBT:(nat->(vEBT_VEBT->produc8025551001238799321T_VEBT))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c0b48>, <kernel.DependentProduct object at 0x18c3170>) of role type named sy_c_Product__Type_OPair_001t__Num__Onum_001t__Num__Onum
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring product_Pair_num_num:(num->(num->product_prod_num_num))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c3248>, <kernel.DependentProduct object at 0x18c3368>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Nat__Onat_J_001t__Option__Ooption_It__Nat__Onat_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc5098337634421038937on_nat:(option_nat->(option_nat->produc4953844613479565601on_nat))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c30e0>, <kernel.DependentProduct object at 0x18c3248>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Num__Onum_J_001t__Option__Ooption_It__Num__Onum_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc8585076106096196333on_num:(option_num->(option_num->produc3447558737645232053on_num))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c3368>, <kernel.DependentProduct object at 0x18c3200>) 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
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc488173922507101015at_nat:(option4927543243414619207at_nat->(option4927543243414619207at_nat->produc6121120109295599847at_nat))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c3248>, <kernel.DependentProduct object at 0x18c3518>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c3200>, <kernel.DependentProduct object at 0x18c3248>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc736041933913180425BT_int:(vEBT_VEBT->(int->produc4894624898956917775BT_int))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c3518>, <kernel.DependentProduct object at 0x18c3200>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c3248>, <kernel.DependentProduct object at 0x18c3518>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c3200>, <kernel.DependentProduct object at 0x18c30e0>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c3518>, <kernel.DependentProduct object at 0x18c3200>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_Eo
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc127349428274296955eger_o:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))->(produc8763457246119570046nteger->Prop))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x18c30e0>, <kernel.DependentProduct object at 0x18c3518>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring produc2592262431452330817omplex:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->set_complex))->(produc8763457246119570046nteger->set_complex))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x18c3200>, <kernel.DependentProduct object at 0x18c30e0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring produc8604463032469472703et_int:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->set_int))->(produc8763457246119570046nteger->set_int))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x18c3518>, <kernel.DependentProduct object at 0x18c3200>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring produc3558942015123893603et_nat:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->set_nat))->(produc8763457246119570046nteger->set_nat))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x18c30e0>, <kernel.DependentProduct object at 0x18c3518>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Set__Oset_It__Real__Oreal_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring produc815715089573277247t_real:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->set_real))->(produc8763457246119570046nteger->set_real))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x18c3200>, <kernel.DependentProduct object at 0x18c30e0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring produc2558449545302689196_int_o:(((int->option6357759511663192854e_term)->(product_prod_int_int->Prop))->(produc7773217078559923341nt_int->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x18c3518>, <kernel.DependentProduct object at 0x18c3200>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring produc7959293469001253456omplex:(((int->option6357759511663192854e_term)->(product_prod_int_int->set_complex))->(produc7773217078559923341nt_int->set_complex))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x18c30e0>, <kernel.DependentProduct object at 0x18c3518>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_Eo
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring produc6253627499356882019eger_o:(((produc6241069584506657477e_term->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))->(produc1908205239877642774nteger->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x18c3200>, <kernel.DependentProduct object at 0x18c30e0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring produc1573362020775583542_int_o:(((produc8551481072490612790e_term->option6357759511663192854e_term)->(product_prod_int_int->Prop))->(produc2285326912895808259nt_int->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x18c3518>, <kernel.DependentProduct object at 0x18c3b90>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x18c30e0>, <kernel.DependentProduct object at 0x18c3c68>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x18c3b90>, <kernel.DependentProduct object at 0x18c39e0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring produc7336495610019696514er_num:((code_integer->(code_integer->num))->(produc8923325533196201883nteger->num))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x18c3c68>, <kernel.DependentProduct object at 0x18c3bd8>) 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
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x18c39e0>, <kernel.DependentProduct object at 0x18c3cb0>) 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
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x18c3bd8>, <kernel.DependentProduct object at 0x18c3c20>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Complex__Ocomplex_001t__Complex__Ocomplex_001_Eo
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring produc6771430404735790350plex_o:((complex->(complex->Prop))->(produc4411394909380815293omplex->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x18c3cb0>, <kernel.DependentProduct object at 0x18c3f38>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x18c3c20>, <kernel.DependentProduct object at 0x18c3cb0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring produc8211389475949308722nt_int:((int->(int->int))->(product_prod_int_int->int))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x18c3c20>, <kernel.DependentProduct object at 0x18c5128>) 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
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x18c3c20>, <kernel.DependentProduct object at 0x18c5170>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring produc8580519160106071146omplex:((int->(int->set_complex))->(product_prod_int_int->set_complex))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x18c3ef0>, <kernel.DependentProduct object at 0x18c5050>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring produc73460835934605544et_int:((int->(int->set_int))->(product_prod_int_int->set_int))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x18c5290>, <kernel.DependentProduct object at 0x18c50e0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring produc4251311855443802252et_nat:((int->(int->set_nat))->(product_prod_int_int->set_nat))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x18c53b0>, <kernel.DependentProduct object at 0x18c5320>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Real__Oreal_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring produc6452406959799940328t_real:((int->(int->set_real))->(product_prod_int_int->set_real))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x18c5050>, <kernel.DependentProduct object at 0x18c5290>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring produc5233655623923918146et_nat:((int->(int->set_set_nat))->(product_prod_int_int->set_set_nat))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x18c5440>, <kernel.DependentProduct object at 0x18c5518>) 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
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring produc8739625826339149834_nat_o:((nat->(nat->(product_prod_nat_nat->Prop)))->(product_prod_nat_nat->(product_prod_nat_nat->Prop)))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x18c5290>, <kernel.DependentProduct object at 0x18c55a8>) 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
% 0.61/0.80 Using role type
% 0.61/0.80 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)))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x18c5518>, <kernel.DependentProduct object at 0x18c5170>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x18c55a8>, <kernel.DependentProduct object at 0x18c5368>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring produc1917071388513777916omplex:((nat->(nat->complex))->(product_prod_nat_nat->complex))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x18c5170>, <kernel.DependentProduct object at 0x18c5638>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring produc6840382203811409530at_int:((nat->(nat->int))->(product_prod_nat_nat->int))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x18c5368>, <kernel.DependentProduct object at 0x18c56c8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring produc6842872674320459806at_nat:((nat->(nat->nat))->(product_prod_nat_nat->nat))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x18c5638>, <kernel.DependentProduct object at 0x18c5758>) 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
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x18c56c8>, <kernel.DependentProduct object at 0x18c57e8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Rat__Orat
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring produc6207742614233964070at_rat:((nat->(nat->rat))->(product_prod_nat_nat->rat))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x18c5758>, <kernel.DependentProduct object at 0x18c5878>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Real__Oreal
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring produc1703576794950452218t_real:((nat->(nat->real))->(product_prod_nat_nat->real))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x18c57e8>, <kernel.DependentProduct object at 0x18c5908>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Option__Ooption_It__Num__Onum_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring produc478579273971653890on_num:((nat->(num->option_num))->(product_prod_nat_num->option_num))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x18c5878>, <kernel.DependentProduct object at 0x18c53b0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Real__Oreal_001t__Real__Oreal_001_Eo
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring produc5414030515140494994real_o:((real->(real->Prop))->(produc2422161461964618553l_real->Prop))
% 0.65/0.80 FOF formula (<kernel.Constant object at 0x18c5a70>, <kernel.DependentProduct object at 0x18c5b00>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.65/0.80 Using role type
% 0.65/0.80 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.65/0.80 FOF formula (<kernel.Constant object at 0x18c5680>, <kernel.DependentProduct object at 0x18c5b48>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.65/0.80 Using role type
% 0.65/0.80 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.65/0.80 FOF formula (<kernel.Constant object at 0x18c5a70>, <kernel.DependentProduct object at 0x18c5b90>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.65/0.80 Using role type
% 0.65/0.80 Declaring produc6174133586879617921nteger:(produc8923325533196201883nteger->code_integer)
% 0.65/0.80 FOF formula (<kernel.Constant object at 0x18c5b00>, <kernel.DependentProduct object at 0x18c5c20>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.65/0.80 Using role type
% 0.65/0.80 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.65/0.80 FOF formula (<kernel.Constant object at 0x18c5908>, <kernel.DependentProduct object at 0x18c5c68>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.65/0.80 Using role type
% 0.65/0.80 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.65/0.80 FOF formula (<kernel.Constant object at 0x18c5878>, <kernel.DependentProduct object at 0x18c5b00>) of role type named sy_c_Rat_OFract
% 0.65/0.80 Using role type
% 0.65/0.80 Declaring fract:(int->(int->rat))
% 0.65/0.80 FOF formula (<kernel.Constant object at 0x18c5cb0>, <kernel.DependentProduct object at 0x18c5cf8>) of role type named sy_c_Rat_OFrct
% 0.65/0.80 Using role type
% 0.65/0.80 Declaring frct:(product_prod_int_int->rat)
% 0.65/0.80 FOF formula (<kernel.Constant object at 0x18c5c20>, <kernel.DependentProduct object at 0x18c5b90>) of role type named sy_c_Rat_Onormalize
% 0.65/0.80 Using role type
% 0.65/0.80 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.65/0.80 FOF formula (<kernel.Constant object at 0x18c5c68>, <kernel.DependentProduct object at 0x18c5d88>) of role type named sy_c_Rat_Oof__int
% 0.65/0.80 Using role type
% 0.65/0.80 Declaring of_int:(int->rat)
% 0.65/0.80 FOF formula (<kernel.Constant object at 0x18c5b00>, <kernel.DependentProduct object at 0x18c5dd0>) of role type named sy_c_Rat_Oquotient__of
% 0.65/0.80 Using role type
% 0.65/0.80 Declaring quotient_of:(rat->product_prod_int_int)
% 0.65/0.80 FOF formula (<kernel.Constant object at 0x18c5c68>, <kernel.Constant object at 0x18c5b90>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Complex__Ocomplex
% 0.65/0.80 Using role type
% 0.65/0.80 Declaring real_V2521375963428798218omplex:set_complex
% 0.65/0.80 FOF formula (<kernel.Constant object at 0x18c5dd0>, <kernel.DependentProduct object at 0x18c5e60>) of role type named sy_c_Real__Vector__Spaces_Obounded__linear_001t__Real__Oreal_001t__Real__Oreal
% 0.65/0.80 Using role type
% 0.65/0.80 Declaring real_V5970128139526366754l_real:((real->real)->Prop)
% 0.65/0.80 FOF formula (<kernel.Constant object at 0x18c5b90>, <kernel.DependentProduct object at 0x18c5dd0>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Complex__Ocomplex
% 0.65/0.80 Using role type
% 0.65/0.81 Declaring real_V3694042436643373181omplex:(complex->(complex->real))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c5e60>, <kernel.DependentProduct object at 0x18c5b90>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Real__Oreal
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring real_V975177566351809787t_real:(real->(real->real))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c5dd0>, <kernel.DependentProduct object at 0x18c7050>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c5b90>, <kernel.DependentProduct object at 0x18c7128>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring real_V7735802525324610683m_real:(real->real)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c5b90>, <kernel.DependentProduct object at 0x18c71b8>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c5e60>, <kernel.DependentProduct object at 0x18c7200>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Complex__Ocomplex
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring real_V2046097035970521341omplex:(real->(complex->complex))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c71b8>, <kernel.DependentProduct object at 0x18c7290>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Real__Oreal
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring real_V1485227260804924795R_real:(real->(real->real))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7050>, <kernel.DependentProduct object at 0x18c7320>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7128>, <kernel.DependentProduct object at 0x18c73b0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c71b8>, <kernel.DependentProduct object at 0x18c7248>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring divide_divide_int:(int->(int->int))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7050>, <kernel.DependentProduct object at 0x18c7128>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c74d0>, <kernel.DependentProduct object at 0x18c71b8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7368>, <kernel.DependentProduct object at 0x18c7050>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring divide_divide_real:(real->(real->real))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c73f8>, <kernel.DependentProduct object at 0x18c74d0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7488>, <kernel.DependentProduct object at 0x18c7368>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7128>, <kernel.DependentProduct object at 0x18c73f8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c71b8>, <kernel.DependentProduct object at 0x18c7488>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7050>, <kernel.DependentProduct object at 0x18c7128>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c74d0>, <kernel.DependentProduct object at 0x18c71b8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7050>, <kernel.DependentProduct object at 0x18c74d0>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c73b0>, <kernel.DependentProduct object at 0x18c71b8>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring modulo_modulo_int:(int->(int->int))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7368>, <kernel.DependentProduct object at 0x18c7050>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c73b0>, <kernel.DependentProduct object at 0x18c78c0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7050>, <kernel.DependentProduct object at 0x18c73f8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c78c0>, <kernel.DependentProduct object at 0x18c7950>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c73f8>, <kernel.DependentProduct object at 0x18c79e0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7950>, <kernel.DependentProduct object at 0x18c7a70>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c79e0>, <kernel.DependentProduct object at 0x18c7b00>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7950>, <kernel.DependentProduct object at 0x18c7a70>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring suminf_complex:((nat->complex)->complex)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7b48>, <kernel.DependentProduct object at 0x18c79e0>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring suminf_real:((nat->real)->real)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7b90>, <kernel.DependentProduct object at 0x18c78c0>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring summable_real:((nat->real)->Prop)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7290>, <kernel.DependentProduct object at 0x18c7c68>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring sums_real:((nat->real)->(real->Prop))
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7c20>, <kernel.DependentProduct object at 0x18c7d40>) of role type named sy_c_Set_OCollect_001t__Code____Numeral__Ointeger
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring collect_Code_integer:((code_integer->Prop)->set_Code_integer)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7c68>, <kernel.DependentProduct object at 0x18c7b90>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7bd8>, <kernel.DependentProduct object at 0x18c7dd0>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring collect_int:((int->Prop)->set_int)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7b48>, <kernel.DependentProduct object at 0x18c7c68>) of role type named sy_c_Set_OCollect_001t__List__Olist_I_Eo_J
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring collect_list_o:((list_o->Prop)->set_list_o)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7dd0>, <kernel.DependentProduct object at 0x18c7e18>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Complex__Ocomplex_J
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring collect_list_complex:((list_complex->Prop)->set_list_complex)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7cf8>, <kernel.DependentProduct object at 0x18c7e60>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Int__Oint_J
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring collect_list_int:((list_int->Prop)->set_list_int)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c78c0>, <kernel.DependentProduct object at 0x18c7ea8>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7cf8>, <kernel.DependentProduct object at 0x18c7ef0>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring collec5608196760682091941T_VEBT:((list_VEBT_VEBT->Prop)->set_list_VEBT_VEBT)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c79e0>, <kernel.DependentProduct object at 0x18c7fc8>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7c20>, <kernel.DependentProduct object at 0x18d9050>) of role type named sy_c_Set_OCollect_001t__Num__Onum
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring collect_num:((num->Prop)->set_num)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7ea8>, <kernel.DependentProduct object at 0x18d9050>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring collec8663557070575231912omplex:((produc4411394909380815293omplex->Prop)->set_Pr5085853215250843933omplex)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7c20>, <kernel.DependentProduct object at 0x18d9050>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7f38>, <kernel.DependentProduct object at 0x18d9098>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring collec3799799289383736868l_real:((produc2422161461964618553l_real->Prop)->set_Pr6218003697084177305l_real)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7d88>, <kernel.DependentProduct object at 0x18d9248>) of role type named sy_c_Set_OCollect_001t__Rat__Orat
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring collect_rat:((rat->Prop)->set_rat)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7f38>, <kernel.DependentProduct object at 0x18d9290>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring collect_real:((real->Prop)->set_real)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7cf8>, <kernel.DependentProduct object at 0x18d9098>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring collect_set_complex:((set_complex->Prop)->set_set_complex)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7f38>, <kernel.DependentProduct object at 0x18d92d8>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Int__Oint_J
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring collect_set_int:((set_int->Prop)->set_set_int)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18c7f38>, <kernel.DependentProduct object at 0x18d9320>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J
% 0.65/0.81 Using role type
% 0.65/0.81 Declaring collect_set_nat:((set_nat->Prop)->set_set_nat)
% 0.65/0.81 FOF formula (<kernel.Constant object at 0x18d9098>, <kernel.DependentProduct object at 0x18d93b0>) of role type named sy_c_Set_OPow_001t__Nat__Onat
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring pow_nat:(set_nat->set_set_nat)
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9290>, <kernel.DependentProduct object at 0x18d93b0>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9050>, <kernel.DependentProduct object at 0x18d91b8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Int__Oint
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring image_nat_int:((nat->int)->(set_nat->set_int))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9320>, <kernel.DependentProduct object at 0x18d9248>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9290>, <kernel.DependentProduct object at 0x18d93f8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Real__Oreal
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring image_nat_real:((nat->real)->(set_nat->set_real))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9050>, <kernel.DependentProduct object at 0x18d9128>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring image_nat_set_nat:((nat->set_nat)->(set_nat->set_set_nat))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9320>, <kernel.DependentProduct object at 0x18d9098>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9050>, <kernel.DependentProduct object at 0x18d9290>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring image_5971271580939081552omplex:((real->filter6041513312241820739omplex)->(set_real->set_fi4554929511873752355omplex))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9098>, <kernel.DependentProduct object at 0x18d93f8>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring image_2178119161166701260l_real:((real->filter2146258269922977983l_real)->(set_real->set_fi7789364187291644575l_real))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9638>, <kernel.DependentProduct object at 0x18d93b0>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9290>, <kernel.DependentProduct object at 0x18d91b8>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9098>, <kernel.DependentProduct object at 0x18d9638>) of role type named sy_c_Set_Oinsert_001t__Complex__Ocomplex
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring insert_complex:(complex->(set_complex->set_complex))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9200>, <kernel.DependentProduct object at 0x18d9098>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring insert_int:(int->(set_int->set_int))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d95f0>, <kernel.DependentProduct object at 0x18d9638>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d95a8>, <kernel.DependentProduct object at 0x18d9200>) of role type named sy_c_Set_Oinsert_001t__Num__Onum
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring insert_num:(num->(set_num->set_num))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d97e8>, <kernel.DependentProduct object at 0x18d95f0>) of role type named sy_c_Set_Oinsert_001t__Rat__Orat
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring insert_rat:(rat->(set_rat->set_rat))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d91b8>, <kernel.DependentProduct object at 0x18d95a8>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring insert_real:(real->(set_real->set_real))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d96c8>, <kernel.DependentProduct object at 0x18d9290>) of role type named sy_c_Set_Oinsert_001t__Set__Oset_It__Nat__Onat_J
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring insert_set_nat:(set_nat->(set_set_nat->set_set_nat))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9950>, <kernel.DependentProduct object at 0x18d97e8>) of role type named sy_c_Set_Oinsert_001t__VEBT____Definitions__OVEBT
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring insert_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d96c8>, <kernel.DependentProduct object at 0x18d95a8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d97e8>, <kernel.DependentProduct object at 0x18d96c8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d95a8>, <kernel.DependentProduct object at 0x18d97e8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d96c8>, <kernel.DependentProduct object at 0x18d95a8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d97e8>, <kernel.DependentProduct object at 0x18d96c8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d95a8>, <kernel.DependentProduct object at 0x18d97e8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d96c8>, <kernel.DependentProduct object at 0x18d95a8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Int__Oint_J
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_or370866239135849197et_int:(set_int->(set_int->set_set_int))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d97e8>, <kernel.DependentProduct object at 0x18d96c8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Nat__Onat_J
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_or4548717258645045905et_nat:(set_nat->(set_nat->set_set_nat))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d95a8>, <kernel.DependentProduct object at 0x18d97e8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d96c8>, <kernel.DependentProduct object at 0x18d95a8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d91b8>, <kernel.DependentProduct object at 0x18d9200>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9dd0>, <kernel.DependentProduct object at 0x18d9f38>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Real__Oreal
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_ord_atLeast_real:(real->set_real)
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9e60>, <kernel.DependentProduct object at 0x18d9f80>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Int__Oint
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_ord_atMost_int:(int->set_int)
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d95a8>, <kernel.DependentProduct object at 0x18d9fc8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9e60>, <kernel.DependentProduct object at 0x18d95a8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9fc8>, <kernel.DependentProduct object at 0x18d9f38>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9fc8>, <kernel.DependentProduct object at 0x18dc0e0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9fc8>, <kernel.DependentProduct object at 0x18dc1b8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18d9f80>, <kernel.DependentProduct object at 0x18dc248>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18dc1b8>, <kernel.DependentProduct object at 0x18dc0e0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18dc050>, <kernel.DependentProduct object at 0x18dc3b0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18dc290>, <kernel.DependentProduct object at 0x18dc440>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Extended____Nat__Oenat
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_or8419480210114673929d_enat:(extended_enat->set_Extended_enat)
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18dc1b8>, <kernel.DependentProduct object at 0x18dc4d0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Int__Oint
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_ord_lessThan_int:(int->set_int)
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18dc440>, <kernel.DependentProduct object at 0x18dc518>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18dc3b0>, <kernel.DependentProduct object at 0x18dc560>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Num__Onum
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_ord_lessThan_num:(num->set_num)
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18dc290>, <kernel.DependentProduct object at 0x18dc5a8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Rat__Orat
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_ord_lessThan_rat:(rat->set_rat)
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18dc3b0>, <kernel.DependentProduct object at 0x18dc5f0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18dc5a8>, <kernel.DependentProduct object at 0x18dc680>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Set__Oset_It__Nat__Onat_J
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring set_or890127255671739683et_nat:(set_nat->set_set_nat)
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18dc4d0>, <kernel.DependentProduct object at 0x18dc710>) of role type named sy_c_String_Oascii__of
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring ascii_of:(char->char)
% 0.65/0.82 FOF formula (<kernel.Constant object at 0x18dc440>, <kernel.DependentProduct object at 0x18dc758>) of role type named sy_c_String_Ochar_OChar
% 0.65/0.82 Using role type
% 0.65/0.82 Declaring char2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->char))))))))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dc200>, <kernel.DependentProduct object at 0x18dc878>) of role type named sy_c_String_Ochar_Osize__char
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring size_char:(char->nat)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dc4d0>, <kernel.DependentProduct object at 0x18dc440>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dc6c8>, <kernel.DependentProduct object at 0x18dc908>) of role type named sy_c_String_Ointeger__of__char
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring integer_of_char:(char->code_integer)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dc200>, <kernel.DependentProduct object at 0x18dc4d0>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dc6c8>, <kernel.DependentProduct object at 0x18dc9e0>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dc4d0>, <kernel.DependentProduct object at 0x18dca70>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Real__Oreal_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring topolo5044208981011980120l_real:(set_real->((real->real)->Prop))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dc9e0>, <kernel.DependentProduct object at 0x18dc6c8>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dca70>, <kernel.DependentProduct object at 0x18dc9e0>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dc6c8>, <kernel.DependentProduct object at 0x18dc830>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dc9e0>, <kernel.DependentProduct object at 0x18dcbd8>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dc830>, <kernel.Constant object at 0x18dcb00>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Complex__Ocomplex
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring topolo896644834953643431omplex:filter6041513312241820739omplex
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dcbd8>, <kernel.Constant object at 0x18dc6c8>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring topolo1511823702728130853y_real:filter2146258269922977983l_real
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dccb0>, <kernel.DependentProduct object at 0x18dcdd0>) of role type named sy_c_Transcendental_Oarccos
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring arccos:(real->real)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dcc68>, <kernel.DependentProduct object at 0x18dce18>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring arcosh_real:(real->real)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dccf8>, <kernel.DependentProduct object at 0x18dce60>) of role type named sy_c_Transcendental_Oarcsin
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring arcsin:(real->real)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dc6c8>, <kernel.DependentProduct object at 0x18dcea8>) of role type named sy_c_Transcendental_Oarctan
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring arctan:(real->real)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dcdd0>, <kernel.DependentProduct object at 0x18dcef0>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring arsinh_real:(real->real)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dce18>, <kernel.DependentProduct object at 0x18dcf38>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring artanh_real:(real->real)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dce60>, <kernel.DependentProduct object at 0x18dcf80>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring cos_real:(real->real)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dc5f0>, <kernel.DependentProduct object at 0x18e0050>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring cos_coeff:(nat->real)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dcf38>, <kernel.DependentProduct object at 0x18de050>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring cosh_real:(real->real)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dc6c8>, <kernel.DependentProduct object at 0x18e0098>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring cot_real:(real->real)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dc5f0>, <kernel.DependentProduct object at 0x18de0e0>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring exp_complex:(complex->complex)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dcef0>, <kernel.DependentProduct object at 0x18de128>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring exp_real:(real->real)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dcf38>, <kernel.DependentProduct object at 0x18de170>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring ln_ln_real:(real->real)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dc5f0>, <kernel.DependentProduct object at 0x18e0170>) of role type named sy_c_Transcendental_Olog
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring log:(real->(real->real))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dcef0>, <kernel.Constant object at 0x18de098>) of role type named sy_c_Transcendental_Opi
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring pi:real
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dc5f0>, <kernel.DependentProduct object at 0x18de050>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring powr_real:(real->(real->real))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18dcef0>, <kernel.DependentProduct object at 0x18de290>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring sin_real:(real->real)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18de170>, <kernel.DependentProduct object at 0x18de320>) of role type named sy_c_Transcendental_Osin__coeff
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring sin_coeff:(nat->real)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18de050>, <kernel.DependentProduct object at 0x18de128>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring sinh_real:(real->real)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18de320>, <kernel.DependentProduct object at 0x18de368>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring tan_real:(real->real)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18de2d8>, <kernel.DependentProduct object at 0x18de3b0>) of role type named sy_c_Transcendental_Otanh_001t__Complex__Ocomplex
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring tanh_complex:(complex->complex)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18de170>, <kernel.DependentProduct object at 0x18de3f8>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring tanh_real:(real->real)
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18de1b8>, <kernel.DependentProduct object at 0x18de440>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.65/0.83 FOF formula (<kernel.Constant object at 0x18de128>, <kernel.DependentProduct object at 0x18de3f8>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.65/0.83 Using role type
% 0.65/0.83 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.68/0.83 FOF formula (<kernel.Constant object at 0x18de518>, <kernel.DependentProduct object at 0x18de170>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.68/0.83 Using role type
% 0.68/0.83 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.68/0.83 FOF formula (<kernel.Constant object at 0x18de1b8>, <kernel.DependentProduct object at 0x18de518>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.68/0.83 Using role type
% 0.68/0.83 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.68/0.83 FOF formula (<kernel.Constant object at 0x18de5a8>, <kernel.DependentProduct object at 0x18de170>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.68/0.83 Using role type
% 0.68/0.83 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.68/0.83 FOF formula (<kernel.Constant object at 0x18de1b8>, <kernel.DependentProduct object at 0x18de5a8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.68/0.83 Using role type
% 0.68/0.83 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.68/0.83 FOF formula (<kernel.Constant object at 0x18de128>, <kernel.DependentProduct object at 0x18de170>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.68/0.83 Using role type
% 0.68/0.83 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.68/0.83 FOF formula (<kernel.Constant object at 0x18de6c8>, <kernel.DependentProduct object at 0x18de1b8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.68/0.83 Using role type
% 0.68/0.83 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.68/0.83 FOF formula (<kernel.Constant object at 0x18de128>, <kernel.DependentProduct object at 0x18de5a8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.68/0.83 Using role type
% 0.68/0.83 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.68/0.83 FOF formula (<kernel.Constant object at 0x18de1b8>, <kernel.DependentProduct object at 0x18de128>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.68/0.83 Using role type
% 0.68/0.83 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.68/0.83 FOF formula (<kernel.Constant object at 0x18de5a8>, <kernel.DependentProduct object at 0x18de170>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.68/0.83 Using role type
% 0.68/0.83 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.68/0.83 FOF formula (<kernel.Constant object at 0x18de7a0>, <kernel.DependentProduct object at 0x18de128>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.68/0.83 Using role type
% 0.68/0.83 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.68/0.83 FOF formula (<kernel.Constant object at 0x18de878>, <kernel.DependentProduct object at 0x18de128>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.68/0.83 Using role type
% 0.68/0.83 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.68/0.83 FOF formula (<kernel.Constant object at 0x18de320>, <kernel.DependentProduct object at 0x18de878>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.68/0.83 Using role type
% 0.68/0.83 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.68/0.83 FOF formula (<kernel.Constant object at 0x18de908>, <kernel.DependentProduct object at 0x18de998>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.68/0.83 Using role type
% 0.68/0.83 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.68/0.83 FOF formula (<kernel.Constant object at 0x18de170>, <kernel.DependentProduct object at 0x18de128>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.68/0.83 Using role type
% 0.68/0.83 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.68/0.83 FOF formula (<kernel.Constant object at 0x18de320>, <kernel.DependentProduct object at 0x18de170>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.68/0.83 Using role type
% 0.68/0.83 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.68/0.83 FOF formula (<kernel.Constant object at 0x18de950>, <kernel.DependentProduct object at 0x18de320>) of role type named sy_c_VEBT__Delete_Ovebt__delete
% 0.68/0.83 Using role type
% 0.68/0.83 Declaring vEBT_vebt_delete:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.68/0.83 FOF formula (<kernel.Constant object at 0x18deb00>, <kernel.DependentProduct object at 0x18de950>) of role type named sy_c_VEBT__Delete_Ovebt__delete__rel
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_vebt_delete_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18de9e0>, <kernel.DependentProduct object at 0x18deb00>) of role type named sy_c_VEBT__Insert_Ovebt__insert
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_vebt_insert:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18de998>, <kernel.DependentProduct object at 0x18de9e0>) of role type named sy_c_VEBT__Insert_Ovebt__insert__rel
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_vebt_insert_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18deb48>, <kernel.DependentProduct object at 0x18de950>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18deb90>, <kernel.DependentProduct object at 0x18de908>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18deb48>, <kernel.DependentProduct object at 0x18deb90>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull__rel
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_V6963167321098673237ll_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18dec68>, <kernel.DependentProduct object at 0x18dea70>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18dea28>, <kernel.DependentProduct object at 0x18dec68>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18de908>, <kernel.DependentProduct object at 0x18dea28>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18deb90>, <kernel.DependentProduct object at 0x18dea70>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oadd
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_VEBT_add:(option_nat->(option_nat->option_nat))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18deb48>, <kernel.DependentProduct object at 0x18de908>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ogreater
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_VEBT_greater:(option_nat->(option_nat->Prop))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18decf8>, <kernel.DependentProduct object at 0x18deb90>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oless
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_VEBT_less:(option_nat->(option_nat->Prop))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18dedd0>, <kernel.DependentProduct object at 0x18deb48>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Olesseq
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_VEBT_lesseq:(option_nat->(option_nat->Prop))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18dea28>, <kernel.DependentProduct object at 0x18decf8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omax__in__set
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_VEBT_max_in_set:(set_nat->(nat->Prop))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18dea70>, <kernel.DependentProduct object at 0x18dedd0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omin__in__set
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_VEBT_min_in_set:(set_nat->(nat->Prop))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18de908>, <kernel.DependentProduct object at 0x18dea28>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omul
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_VEBT_mul:(option_nat->(option_nat->option_nat))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18dea70>, <kernel.DependentProduct object at 0x18deb48>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Nat__Onat
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_V4262088993061758097ft_nat:((nat->(nat->nat))->(option_nat->(option_nat->option_nat)))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18dea28>, <kernel.DependentProduct object at 0x18e3128>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Num__Onum
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_V819420779217536731ft_num:((num->(num->num))->(option_num->(option_num->option_num)))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18deb48>, <kernel.DependentProduct object at 0x18e3170>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_V1502963449132264192at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(option4927543243414619207at_nat->(option4927543243414619207at_nat->option4927543243414619207at_nat)))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18dea70>, <kernel.DependentProduct object at 0x18e3128>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Opower
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_VEBT_power:(option_nat->(option_nat->option_nat))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18dee18>, <kernel.DependentProduct object at 0x18e3170>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_vebt_maxt:(vEBT_VEBT->option_nat)
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18deb48>, <kernel.DependentProduct object at 0x18e3200>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt__rel
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_vebt_maxt_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18deb48>, <kernel.DependentProduct object at 0x18e3290>) of role type named sy_c_VEBT__MinMax_Ovebt__mint
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_vebt_mint:(vEBT_VEBT->option_nat)
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18e3128>, <kernel.DependentProduct object at 0x18e3248>) of role type named sy_c_VEBT__MinMax_Ovebt__mint__rel
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_vebt_mint_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18e30e0>, <kernel.DependentProduct object at 0x18e31b8>) of role type named sy_c_VEBT__Pred_Ois__pred__in__set
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_is_pred_in_set:(set_nat->(nat->(nat->Prop)))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18e33b0>, <kernel.DependentProduct object at 0x18e3050>) of role type named sy_c_VEBT__Pred_Ovebt__pred
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_vebt_pred:(vEBT_VEBT->(nat->option_nat))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18e32d8>, <kernel.DependentProduct object at 0x18e3290>) of role type named sy_c_VEBT__Pred_Ovebt__pred__rel
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_vebt_pred_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18e3200>, <kernel.DependentProduct object at 0x18e3050>) of role type named sy_c_VEBT__Succ_Ois__succ__in__set
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_is_succ_in_set:(set_nat->(nat->(nat->Prop)))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18e3488>, <kernel.DependentProduct object at 0x18e3128>) of role type named sy_c_VEBT__Succ_Ovebt__succ
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_vebt_succ:(vEBT_VEBT->(nat->option_nat))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18e3170>, <kernel.DependentProduct object at 0x18e31b8>) of role type named sy_c_VEBT__Succ_Ovebt__succ__rel
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring vEBT_vebt_succ_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18e3248>, <kernel.DependentProduct object at 0x18e3050>) of role type named sy_c_Wellfounded_Oaccp_001t__List__Olist_It__Nat__Onat_J
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring accp_list_nat:((list_nat->(list_nat->Prop))->(list_nat->Prop))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18e3170>, <kernel.DependentProduct object at 0x18e3290>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.68/0.84 FOF formula (<kernel.Constant object at 0x18e3248>, <kernel.DependentProduct object at 0x18e34d0>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.68/0.84 Using role type
% 0.68/0.84 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e3290>, <kernel.DependentProduct object at 0x18e3560>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e34d0>, <kernel.DependentProduct object at 0x18e35f0>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring accp_P3113834385874906142um_num:((product_prod_num_num->(product_prod_num_num->Prop))->(product_prod_num_num->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e3560>, <kernel.DependentProduct object at 0x18e3170>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e3290>, <kernel.DependentProduct object at 0x18e34d0>) of role type named sy_c_Wellfounded_Oaccp_001t__VEBT____Definitions__OVEBT
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring accp_VEBT_VEBT:((vEBT_VEBT->(vEBT_VEBT->Prop))->(vEBT_VEBT->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e3440>, <kernel.DependentProduct object at 0x18e3830>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring fChoice_real:((real->Prop)->real)
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e35f0>, <kernel.DependentProduct object at 0x18e3440>) of role type named sy_c_member_001_Eo
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring member_o:(Prop->(set_o->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e3170>, <kernel.DependentProduct object at 0x18e35f0>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring member_complex:(complex->(set_complex->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e37a0>, <kernel.DependentProduct object at 0x18e34d0>) of role type named sy_c_member_001t__Int__Oint
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring member_int:(int->(set_int->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e3830>, <kernel.DependentProduct object at 0x18e3440>) of role type named sy_c_member_001t__List__Olist_I_Eo_J
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring member_list_o:(list_o->(set_list_o->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e35f0>, <kernel.DependentProduct object at 0x18e37a0>) of role type named sy_c_member_001t__List__Olist_It__Int__Oint_J
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring member_list_int:(list_int->(set_list_int->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e3290>, <kernel.DependentProduct object at 0x18e3830>) of role type named sy_c_member_001t__List__Olist_It__Nat__Onat_J
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring member_list_nat:(list_nat->(set_list_nat->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e35f0>, <kernel.DependentProduct object at 0x18e3290>) of role type named sy_c_member_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring member2936631157270082147T_VEBT:(list_VEBT_VEBT->(set_list_VEBT_VEBT->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e34d0>, <kernel.DependentProduct object at 0x18e3830>) of role type named sy_c_member_001t__Nat__Onat
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring member_nat:(nat->(set_nat->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e3a28>, <kernel.DependentProduct object at 0x18e35f0>) of role type named sy_c_member_001t__Num__Onum
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring member_num:(num->(set_num->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e34d0>, <kernel.DependentProduct object at 0x18e3170>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring member5262025264175285858nt_int:(product_prod_int_int->(set_Pr958786334691620121nt_int->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e3b00>, <kernel.DependentProduct object at 0x18e35f0>) of role type named sy_c_member_001t__Rat__Orat
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring member_rat:(rat->(set_rat->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e36c8>, <kernel.DependentProduct object at 0x18e3b00>) of role type named sy_c_member_001t__Real__Oreal
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring member_real:(real->(set_real->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e3bd8>, <kernel.DependentProduct object at 0x18e34d0>) of role type named sy_c_member_001t__Set__Oset_It__Int__Oint_J
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring member_set_int:(set_int->(set_set_int->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e37a0>, <kernel.DependentProduct object at 0x18e35f0>) of role type named sy_c_member_001t__Set__Oset_It__Nat__Onat_J
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring member_set_nat:(set_nat->(set_set_nat->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e3b00>, <kernel.DependentProduct object at 0x18e3bd8>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e3830>, <kernel.Constant object at 0x18e3bd8>) of role type named sy_v_deg____
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring deg:nat
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e35f0>, <kernel.Constant object at 0x18e3bd8>) of role type named sy_v_m____
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring m:nat
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e36c8>, <kernel.Constant object at 0x18e3bd8>) of role type named sy_v_ma____
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring ma:nat
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e3cf8>, <kernel.Constant object at 0x18e3bd8>) of role type named sy_v_maxs____
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring maxs:nat
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e3c68>, <kernel.Constant object at 0x18e3bd8>) of role type named sy_v_mi____
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring mi:nat
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e3d40>, <kernel.Constant object at 0x18e3bd8>) of role type named sy_v_na____
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring na:nat
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e3d88>, <kernel.Constant object at 0x18e3bd8>) of role type named sy_v_summary____
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring summary:vEBT_VEBT
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e3dd0>, <kernel.Constant object at 0x18e3bd8>) of role type named sy_v_treeList____
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring treeList:list_VEBT_VEBT
% 0.68/0.85 FOF formula (<kernel.Constant object at 0x18e3e18>, <kernel.Constant object at 0x18e3bd8>) of role type named sy_v_xa____
% 0.68/0.85 Using role type
% 0.68/0.85 Declaring xa:nat
% 0.68/0.85 FOF formula ((vEBT_invar_vebt summary) m) of role axiom named fact_0__C1_C
% 0.68/0.85 A new axiom: ((vEBT_invar_vebt summary) m)
% 0.68/0.85 FOF formula ((vEBT_V8194947554948674370ptions summary) maxs) of role axiom named fact_1__092_060open_062both__member__options_Asummary_Amaxs_092_060close_062
% 0.68/0.85 A new axiom: ((vEBT_V8194947554948674370ptions summary) maxs)
% 0.68/0.85 FOF formula (((eq nat) na) m) of role axiom named fact_2__C8_C
% 0.68/0.85 A new axiom: (((eq nat) na) m)
% 0.68/0.85 FOF formula (forall (X:nat) (D:nat), (((eq nat) (((vEBT_VEBT_bit_concat ((vEBT_VEBT_high X) D)) ((vEBT_VEBT_low X) D)) D)) X)) of role axiom named fact_3_bit__split__inv
% 0.68/0.85 A new axiom: (forall (X:nat) (D:nat), (((eq nat) (((vEBT_VEBT_bit_concat ((vEBT_VEBT_high X) D)) ((vEBT_VEBT_low X) D)) D)) X))
% 0.68/0.85 FOF formula (forall (T:vEBT_VEBT) (N:nat) (X:nat) (Y:nat), (((vEBT_invar_vebt T) N)->(((eq Prop) ((vEBT_V8194947554948674370ptions ((vEBT_vebt_delete T) X)) Y)) ((and (not (((eq nat) X) Y))) ((vEBT_V8194947554948674370ptions T) Y))))) of role axiom named fact_4_dele__bmo__cont__corr
% 0.68/0.85 A new axiom: (forall (T:vEBT_VEBT) (N:nat) (X:nat) (Y:nat), (((vEBT_invar_vebt T) N)->(((eq Prop) ((vEBT_V8194947554948674370ptions ((vEBT_vebt_delete T) X)) Y)) ((and (not (((eq nat) X) Y))) ((vEBT_V8194947554948674370ptions T) Y)))))
% 0.68/0.85 FOF formula ((vEBT_invar_vebt ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na)))) maxs)) na) of role axiom named fact_5__092_060open_062invar__vebt_A_ItreeList_091high_Ax_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_Ax_An_J_A_Ilow_Ax_An_J_093_A_B_Amaxs_J_An_092_060close_062
% 0.68/0.85 A new axiom: ((vEBT_invar_vebt ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na)))) maxs)) na)
% 0.68/0.86 FOF formula (not (((eq nat) xa) mi)) of role axiom named fact_6_xnotmi
% 0.68/0.86 A new axiom: (not (((eq nat) xa) mi))
% 0.68/0.86 FOF formula (((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na)))) ((vEBT_VEBT_high xa) na))) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na))) of role axiom named fact_7_hlist
% 0.68/0.86 A new axiom: (((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na)))) ((vEBT_VEBT_high xa) na))) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na)))
% 0.68/0.86 FOF formula ((vEBT_invar_vebt ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na))) na) of role axiom named fact_8_nnvalid
% 0.68/0.86 A new axiom: ((vEBT_invar_vebt ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na))) na)
% 0.68/0.86 FOF formula (vEBT_VEBT_minNull ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na))) of role axiom named fact_9_ninNullc
% 0.68/0.86 A new axiom: (vEBT_VEBT_minNull ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na)))
% 0.68/0.86 FOF formula ((and (not (((eq nat) maxs) ((vEBT_VEBT_high xa) na)))) ((ord_less_nat maxs) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))) of role axiom named fact_10_bb
% 0.68/0.86 A new axiom: ((and (not (((eq nat) maxs) ((vEBT_VEBT_high xa) na)))) ((ord_less_nat maxs) ((power_power_nat (numeral_numeral_nat (bit0 one))) m)))
% 0.68/0.86 FOF formula (((eq nat) xa) ma) of role axiom named fact_11_True
% 0.68/0.86 A new axiom: (((eq nat) xa) ma)
% 0.68/0.86 FOF formula (forall (_TPTP_I:nat), ((not (((eq nat) _TPTP_I) ((vEBT_VEBT_high xa) na)))->(((ord_less_nat _TPTP_I) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))->(((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na)))) _TPTP_I)) ((nth_VEBT_VEBT treeList) _TPTP_I))))) of role axiom named fact_12_nothlist
% 0.68/0.86 A new axiom: (forall (_TPTP_I:nat), ((not (((eq nat) _TPTP_I) ((vEBT_VEBT_high xa) na)))->(((ord_less_nat _TPTP_I) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))->(((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na)))) _TPTP_I)) ((nth_VEBT_VEBT treeList) _TPTP_I)))))
% 0.68/0.86 FOF formula (forall (I2:nat), (((ord_less_nat I2) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))->(((eq Prop) ((ex nat) (fun (X2:nat)=> ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) I2)) X2)))) ((vEBT_V8194947554948674370ptions summary) I2)))) of role axiom named fact_13__C4_C
% 0.68/0.86 A new axiom: (forall (I2:nat), (((ord_less_nat I2) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))->(((eq Prop) ((ex nat) (fun (X2:nat)=> ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) I2)) X2)))) ((vEBT_V8194947554948674370ptions summary) I2))))
% 0.68/0.86 FOF formula (((eq (nat->(list_VEBT_VEBT->(nat->Prop)))) vEBT_V5917875025757280293ildren) (fun (N2:nat) (TreeList:list_VEBT_VEBT) (X3:nat)=> ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT TreeList) ((vEBT_VEBT_high X3) N2))) ((vEBT_VEBT_low X3) N2)))) of role axiom named fact_14_in__children__def
% 0.68/0.86 A new axiom: (((eq (nat->(list_VEBT_VEBT->(nat->Prop)))) vEBT_V5917875025757280293ildren) (fun (N2:nat) (TreeList:list_VEBT_VEBT) (X3:nat)=> ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT TreeList) ((vEBT_VEBT_high X3) N2))) ((vEBT_VEBT_low X3) N2))))
% 0.68/0.86 FOF formula ((vEBT_invar_vebt ((vEBT_vebt_delete summary) ((vEBT_VEBT_high xa) na))) m) of role axiom named fact_15_newsummvalid
% 0.68/0.87 A new axiom: ((vEBT_invar_vebt ((vEBT_vebt_delete summary) ((vEBT_VEBT_high xa) na))) m)
% 0.68/0.87 FOF formula (forall (X4:vEBT_VEBT), (((member_VEBT_VEBT X4) (set_VEBT_VEBT2 treeList))->((and ((vEBT_invar_vebt X4) na)) (forall (Xa:nat), ((vEBT_invar_vebt ((vEBT_vebt_delete X4) Xa)) na))))) of role axiom named fact_16__C4_OIH_C_I1_J
% 0.68/0.87 A new axiom: (forall (X4:vEBT_VEBT), (((member_VEBT_VEBT X4) (set_VEBT_VEBT2 treeList))->((and ((vEBT_invar_vebt X4) na)) (forall (Xa:nat), ((vEBT_invar_vebt ((vEBT_vebt_delete X4) Xa)) na)))))
% 0.68/0.87 FOF formula (forall (Xs:list_nat) (_TPTP_I:nat), (((eq list_nat) (((list_update_nat Xs) _TPTP_I) ((nth_nat Xs) _TPTP_I))) Xs)) of role axiom named fact_17_list__update__id
% 0.68/0.87 A new axiom: (forall (Xs:list_nat) (_TPTP_I:nat), (((eq list_nat) (((list_update_nat Xs) _TPTP_I) ((nth_nat Xs) _TPTP_I))) Xs))
% 0.68/0.87 FOF formula (forall (Xs:list_int) (_TPTP_I:nat), (((eq list_int) (((list_update_int Xs) _TPTP_I) ((nth_int Xs) _TPTP_I))) Xs)) of role axiom named fact_18_list__update__id
% 0.68/0.87 A new axiom: (forall (Xs:list_int) (_TPTP_I:nat), (((eq list_int) (((list_update_int Xs) _TPTP_I) ((nth_int Xs) _TPTP_I))) Xs))
% 0.68/0.87 FOF formula (forall (Xs:list_VEBT_VEBT) (_TPTP_I:nat), (((eq list_VEBT_VEBT) (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) ((nth_VEBT_VEBT Xs) _TPTP_I))) Xs)) of role axiom named fact_19_list__update__id
% 0.68/0.87 A new axiom: (forall (Xs:list_VEBT_VEBT) (_TPTP_I:nat), (((eq list_VEBT_VEBT) (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) ((nth_VEBT_VEBT Xs) _TPTP_I))) Xs))
% 0.68/0.87 FOF formula (forall (_TPTP_I:nat) (J:nat) (Xs:list_nat) (X:nat), ((not (((eq nat) _TPTP_I) J))->(((eq nat) ((nth_nat (((list_update_nat Xs) _TPTP_I) X)) J)) ((nth_nat Xs) J)))) of role axiom named fact_20_nth__list__update__neq
% 0.68/0.87 A new axiom: (forall (_TPTP_I:nat) (J:nat) (Xs:list_nat) (X:nat), ((not (((eq nat) _TPTP_I) J))->(((eq nat) ((nth_nat (((list_update_nat Xs) _TPTP_I) X)) J)) ((nth_nat Xs) J))))
% 0.68/0.87 FOF formula (forall (_TPTP_I:nat) (J:nat) (Xs:list_int) (X:int), ((not (((eq nat) _TPTP_I) J))->(((eq int) ((nth_int (((list_update_int Xs) _TPTP_I) X)) J)) ((nth_int Xs) J)))) of role axiom named fact_21_nth__list__update__neq
% 0.68/0.87 A new axiom: (forall (_TPTP_I:nat) (J:nat) (Xs:list_int) (X:int), ((not (((eq nat) _TPTP_I) J))->(((eq int) ((nth_int (((list_update_int Xs) _TPTP_I) X)) J)) ((nth_int Xs) J))))
% 0.68/0.87 FOF formula (forall (_TPTP_I:nat) (J:nat) (Xs:list_VEBT_VEBT) (X:vEBT_VEBT), ((not (((eq nat) _TPTP_I) J))->(((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) X)) J)) ((nth_VEBT_VEBT Xs) J)))) of role axiom named fact_22_nth__list__update__neq
% 0.68/0.87 A new axiom: (forall (_TPTP_I:nat) (J:nat) (Xs:list_VEBT_VEBT) (X:vEBT_VEBT), ((not (((eq nat) _TPTP_I) J))->(((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) X)) J)) ((nth_VEBT_VEBT Xs) J))))
% 0.68/0.87 FOF formula ((member_VEBT_VEBT ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) (set_VEBT_VEBT2 treeList)) of role axiom named fact_23__092_060open_062treeList_A_B_Ahigh_Ax_An_A_092_060in_062_Aset_AtreeList_092_060close_062
% 0.68/0.87 A new axiom: ((member_VEBT_VEBT ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) (set_VEBT_VEBT2 treeList))
% 0.68/0.87 FOF formula (forall (X4:vEBT_VEBT), (((member_VEBT_VEBT X4) (set_VEBT_VEBT2 (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na)))))->((vEBT_invar_vebt X4) na))) of role axiom named fact_24_allvalidinlist
% 0.68/0.87 A new axiom: (forall (X4:vEBT_VEBT), (((member_VEBT_VEBT X4) (set_VEBT_VEBT2 (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na)))))->((vEBT_invar_vebt X4) na)))
% 0.68/0.87 FOF formula ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high ma) na))) ((vEBT_VEBT_low ma) na)) of role axiom named fact_25__092_060open_062both__member__options_A_ItreeList_A_B_Ahigh_Ama_An_J_A_Ilow_Ama_An_J_092_060close_062
% 0.68/0.87 A new axiom: ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high ma) na))) ((vEBT_VEBT_low ma) na))
% 0.68/0.87 FOF formula (forall (I2:nat), (((ord_less_nat I2) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))->(((eq Prop) ((ex nat) (fun (X2:nat)=> ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na)))) I2)) X2)))) ((vEBT_V8194947554948674370ptions ((vEBT_vebt_delete summary) ((vEBT_VEBT_high xa) na))) I2)))) of role axiom named fact_26__C111_C
% 0.68/0.87 A new axiom: (forall (I2:nat), (((ord_less_nat I2) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))->(((eq Prop) ((ex nat) (fun (X2:nat)=> ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na)))) I2)) X2)))) ((vEBT_V8194947554948674370ptions ((vEBT_vebt_delete summary) ((vEBT_VEBT_high xa) na))) I2))))
% 0.68/0.87 FOF formula (forall (X:nat), ((vEBT_invar_vebt ((vEBT_vebt_delete summary) X)) m)) of role axiom named fact_27__C4_OIH_C_I2_J
% 0.68/0.87 A new axiom: (forall (X:nat), ((vEBT_invar_vebt ((vEBT_vebt_delete summary) X)) m))
% 0.68/0.87 FOF formula (forall (Xs:list_VEBT_VEBT) (_TPTP_I:nat) (X:vEBT_VEBT) (Y:vEBT_VEBT), (((eq list_VEBT_VEBT) (((list_u1324408373059187874T_VEBT (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) X)) _TPTP_I) Y)) (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) Y))) of role axiom named fact_28_list__update__overwrite
% 0.68/0.87 A new axiom: (forall (Xs:list_VEBT_VEBT) (_TPTP_I:nat) (X:vEBT_VEBT) (Y:vEBT_VEBT), (((eq list_VEBT_VEBT) (((list_u1324408373059187874T_VEBT (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) X)) _TPTP_I) Y)) (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) Y)))
% 0.68/0.87 FOF formula (forall (T:vEBT_VEBT), (((vEBT_VEBT_minNull T)->False)->((ex nat) (fun (X_1:nat)=> ((vEBT_V8194947554948674370ptions T) X_1))))) of role axiom named fact_29_not__min__Null__member
% 0.68/0.87 A new axiom: (forall (T:vEBT_VEBT), (((vEBT_VEBT_minNull T)->False)->((ex nat) (fun (X_1:nat)=> ((vEBT_V8194947554948674370ptions T) X_1)))))
% 0.68/0.87 <<<_VEBT] :
% 0.68/0.87 ( ( member_VEBT_VEBT @ X4 @ ( set_VEBT_VEBT2 @ treeList ) )
% 0.68/0.87 => ~ ?>>>!!!<<< [X_12: nat] : ( vEBT_V8194947554948674370ptions @ X4 @ X_12 ) ) ) ).
% 0.68/0.87
% 0.68/0.87 % "5"
% 0.68/0.87 thf(fact_31__>>>
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TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,134843), LexToken(LPAR,'(',1,134846), name, LexToken(COMMA,',',1,134860), formula_role, LexToken(COMMA,',',1,134866), LexToken(LPAR,'(',1,134872), thf_unitary_formula, thf_pair_connective, thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,134894), thf_variable_list, LexToken(RBRACKET,']',1,134908), LexToken(COLON,':',1,134910), LexToken(LPAR,'(',1,134920), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.68/0.87 Unexpected exception Syntax error at '?':QUESTION
% 0.68/0.87 Traceback (most recent call last):
% 0.68/0.87 File "CASC.py", line 79, in <module>
% 0.68/0.87 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.68/0.87 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.68/0.87 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.68/0.87 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.68/0.87 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.68/0.87 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.68/0.87 tok = self.errorfunc(errtoken)
% 0.68/0.87 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.68/0.87 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.68/0.87 TPTPparser.TPTPParsingError: Syntax error at '?':QUESTION
%------------------------------------------------------------------------------