TSTP Solution File: ITP252^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP252^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 17:47:47 EDT 2022
% Result : Unknown 0.84s 1.05s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ITP252^3 : TPTP v7.6.0. Released v7.6.0.
% 0.10/0.13 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 Computer : n019.cluster.edu
% 0.12/0.34 Model : x86_64 x86_64
% 0.12/0.34 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 RAMPerCPU : 8042.1875MB
% 0.12/0.34 OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Fri Mar 18 12:27:41 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.12/0.35 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.36 Python 2.7.5
% 0.45/0.63 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xc62908>, <kernel.Type object at 0x2af4a9823ef0>) 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
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc5542196010084753463at_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xc625a8>, <kernel.Type object at 0x2af4a9823e60>) 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
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc5491161045314408544at_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xc625a8>, <kernel.Type object at 0x2af4a9823f80>) 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
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc1193250871479095198on_num:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xc62908>, <kernel.Type object at 0x2af4a9823f38>) 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
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc8306885398267862888on_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823dd0>, <kernel.Type object at 0x2af4a9823e18>) 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
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc6121120109295599847at_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823d88>, <kernel.Type object at 0x2af4a9823fc8>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc3368934014287244435at_num:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823d40>, <kernel.Type object at 0x2af4a9823dd0>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc4471711990508489141at_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823cf8>, <kernel.Type object at 0x2af4a9823bd8>) 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
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc7036089656553540234on_num:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823d40>, <kernel.Type object at 0x2af4a9823d88>) 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
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc2233624965454879586on_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823b48>, <kernel.Type object at 0x2af4a9823cf8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_Pr8693737435421807431at_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823ab8>, <kernel.Type object at 0x2af4a9823d40>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc859450856879609959at_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823a28>, <kernel.Type object at 0x2af4a9823b48>) of role type named ty_n_t__Set__Oset_It__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_fi4554929511873752355omplex:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823998>, <kernel.Type object at 0x2af4a9823ab8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_P7413028617227757229T_VEBT:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823908>, <kernel.Type object at 0x2af4a9823a28>) 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
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc3447558737645232053on_num:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823878>, <kernel.Type object at 0x2af4a9823998>) 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
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc4953844613479565601on_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a98237e8>, <kernel.Type object at 0x2af4a9823908>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc2963631642982155120at_num:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a98236c8>, <kernel.Type object at 0x2af4a9823878>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc7248412053542808358at_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823638>, <kernel.Type object at 0x2af4a98237e8>) of role type named ty_n_t__Set__Oset_It__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_fi7789364187291644575l_real:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a98235a8>, <kernel.Type object at 0x2af4a98236c8>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring filter6041513312241820739omplex:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823518>, <kernel.Type object at 0x2af4a9823638>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_P7037539587688870467BT_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823488>, <kernel.Type object at 0x2af4a98235a8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_P5647936690300460905T_VEBT:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a98233f8>, <kernel.Type object at 0x2af4a9823518>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc8243902056947475879T_VEBT:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823368>, <kernel.Type object at 0x2af4a9823488>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_Pr5085853215250843933omplex:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a98232d8>, <kernel.Type object at 0x2af4a98233f8>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc8923325533196201883nteger:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823248>, <kernel.Type object at 0x2af4a9823368>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Extended____Nat__Oenat_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc7272778201969148633d_enat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a98231b8>, <kernel.Type object at 0x2af4a98232d8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_P3126845725202233233VEBT_o:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823128>, <kernel.Type object at 0xf04830>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_P7495141550334521929T_VEBT:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823098>, <kernel.Type object at 0xf04758>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring filter2146258269922977983l_real:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823098>, <kernel.Type object at 0x2af4a98232d8>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring option4927543243414619207at_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a98231b8>, <kernel.Type object at 0x2af4b12f62d8>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring filter1242075044329608583at_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a98231b8>, <kernel.Type object at 0x2af4b12f6ea8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_Pr6218003697084177305l_real:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4a9823098>, <kernel.Type object at 0x2af4b12f6290>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_P3744719386663036955um_num:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4b12f6cb0>, <kernel.Type object at 0x2af4b12f6cf8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_P1726324292696863441at_num:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4b12f6998>, <kernel.Type object at 0x2af4b12f6a28>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_P6011104703257516679at_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4b12f6ef0>, <kernel.Type object at 0x2af4b12f6cb0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_P5707943133018811711nt_int:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4b12f6368>, <kernel.Type object at 0x2af4b12f6e18>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc9072475918466114483BT_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4b12f6ef0>, <kernel.Type object at 0x2af4b12f6998>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc8025551001238799321T_VEBT:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4b12f66c8>, <kernel.Type object at 0x2af4b12f6368>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_Pr1261947904930325089at_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4b12f65a8>, <kernel.Type object at 0x2af4b12f6ef0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_Pr958786334691620121nt_int:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4b12f6098>, <kernel.Type object at 0x2af4b12f66c8>) of role type named ty_n_t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc4411394909380815293omplex:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2af4b12f65a8>, <kernel.Type object at 0xc65e18>) of role type named ty_n_t__List__Olist_It__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring list_set_nat_rat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4b12f66c8>, <kernel.Type object at 0xc65e18>) of role type named ty_n_t__Set__Oset_It__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_set_nat_rat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4b12f65a8>, <kernel.Type object at 0xc65c68>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring list_P7333126701944960589_nat_o:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4b12f65a8>, <kernel.Type object at 0xc65a28>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring list_P6285523579766656935_o_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4b12f6098>, <kernel.Type object at 0xc65c68>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_list_VEBT_VEBT:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xc65710>, <kernel.Type object at 0xc65cf8>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring produc334124729049499915VEBT_o:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xc65a28>, <kernel.Type object at 0xc65050>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring produc2504756804600209347T_VEBT:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xc65290>, <kernel.Type object at 0x2af4b12f66c8>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring produc6271795597528267376eger_o:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xc65a28>, <kernel.Type object at 0x2af4a9821200>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Extended____Nat__Oenat_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_li5464603477888414924d_enat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xc65a28>, <kernel.Type object at 0x2af4a9821170>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring produc2422161461964618553l_real:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xc65320>, <kernel.Type object at 0x2af4a9821200>) of role type named ty_n_t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring product_prod_num_num:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xc65a28>, <kernel.Type object at 0x2af4a9821128>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring product_prod_nat_num:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xc65290>, <kernel.Type object at 0x2af4a9821098>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring product_prod_nat_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xc65290>, <kernel.Type object at 0x2af4a98212d8>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring product_prod_int_int:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a98210e0>, <kernel.Type object at 0x2af4a98211b8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring list_P4002435161011370285od_o_o:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a9821050>, <kernel.Type object at 0x2af4a98212d8>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Complex__Ocomplex_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_list_complex:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a9821128>, <kernel.Type object at 0x2af4a98213b0>) of role type named ty_n_t__List__Olist_It__Option__Ooption_It__Nat__Onat_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring list_option_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a98210e0>, <kernel.Type object at 0x2af4a9821440>) of role type named ty_n_t__Sum____Type__Osum_It__Nat__Onat_Mt__Nat__Onat_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring sum_sum_nat_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a9821050>, <kernel.Type object at 0x2af4a9821488>) of role type named ty_n_t__Set__Oset_It__Option__Ooption_It__Nat__Onat_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_option_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a9821128>, <kernel.Type object at 0x2af4a98214d0>) of role type named ty_n_t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_nat_rat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a98210e0>, <kernel.Type object at 0x2af4a9821518>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring list_VEBT_VEBT:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a9821050>, <kernel.Type object at 0x2af4a9821560>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_list_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a9821128>, <kernel.Type object at 0x2af4a98215a8>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Int__Oint_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_list_int:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a98210e0>, <kernel.Type object at 0x2af4a98215f0>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring product_prod_o_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a9821050>, <kernel.Type object at 0x2af4a9821638>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_VEBT_VEBT:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a9821128>, <kernel.Type object at 0x2af4a9821680>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_set_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a98210e0>, <kernel.Type object at 0x2af4a98216c8>) of role type named ty_n_t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_Code_integer:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a9821050>, <kernel.Type object at 0x2af4a9821710>) of role type named ty_n_t__List__Olist_It__Extended____Nat__Oenat_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring list_Extended_enat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a9821128>, <kernel.Type object at 0x2af4a9821758>) of role type named ty_n_t__Set__Oset_It__Product____Type__Ounit_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_Product_unit:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a98210e0>, <kernel.Type object at 0x2af4a98217a0>) of role type named ty_n_t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_Extended_enat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a9821050>, <kernel.Type object at 0x2af4a98217e8>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring list_complex:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a9821128>, <kernel.Type object at 0x2af4a9821830>) of role type named ty_n_t__Set__Oset_It__List__Olist_I_Eo_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_list_o:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a98210e0>, <kernel.Type object at 0x2af4a9821878>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring product_prod_o_o:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a9821050>, <kernel.Type object at 0x2af4a98218c0>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_complex:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a9821128>, <kernel.Type object at 0x2af4a9821908>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring filter_real:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a98210e0>, <kernel.Type object at 0x2af4a9821950>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring option_num:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a9821050>, <kernel.Type object at 0x2af4a9821998>) of role type named ty_n_t__Option__Ooption_It__Nat__Onat_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring option_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2af4a9821128>, <kernel.Type object at 0x2af4a98219e0>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring filter_nat:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a98210e0>, <kernel.Type object at 0x2af4a9821a28>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring set_char:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a9821050>, <kernel.Type object at 0x2af4a9821a70>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring list_real:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a9821170>, <kernel.Type object at 0x2af4a9821a28>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring set_real:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a9821128>, <kernel.Type object at 0x2af4a9821b00>) of role type named ty_n_t__List__Olist_It__Num__Onum_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring list_num:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a9821050>, <kernel.Type object at 0x2af4a9821b90>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring list_nat:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a98219e0>, <kernel.Type object at 0x2af4a9821bd8>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring list_int:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a9821170>, <kernel.Type object at 0x2af4a9821c20>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring vEBT_VEBT:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a9821128>, <kernel.Type object at 0x2af4a9821c68>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring set_rat:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a9821050>, <kernel.Type object at 0x2af4a9821cb0>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring set_num:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a98219e0>, <kernel.Type object at 0x2af4a9821cf8>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring set_nat:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a9821170>, <kernel.Type object at 0x2af4a9821d40>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring set_int:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a9821128>, <kernel.Type object at 0x2af4a9821d88>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring code_integer:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a9821050>, <kernel.Type object at 0x2af4a9821dd0>) of role type named ty_n_t__Product____Type__Ounit
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring product_unit:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a98219e0>, <kernel.Type object at 0x2af4a9821e18>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring extended_enat:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a9821128>, <kernel.Type object at 0x2af4a9821d88>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring list_o:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a98210e0>, <kernel.Type object at 0x2af4a9821ea8>) of role type named ty_n_t__Complex__Ocomplex
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring complex:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a9821050>, <kernel.Type object at 0x2af4a9821dd0>) of role type named ty_n_t__String__Oliteral
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring literal:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a9821128>, <kernel.Type object at 0x2af4a9821ef0>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring set_o:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a98210e0>, <kernel.Type object at 0x2af4a9821f38>) of role type named ty_n_t__String__Ochar
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring char:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a9821050>, <kernel.Type object at 0x2af4a9821f80>) of role type named ty_n_t__Real__Oreal
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring real:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a9821128>, <kernel.Type object at 0x2af4a9821f38>) of role type named ty_n_t__Rat__Orat
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring rat:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a9821f80>, <kernel.Type object at 0xc4c098>) of role type named ty_n_t__Num__Onum
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring num:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a9821f38>, <kernel.Type object at 0xc4c098>) of role type named ty_n_t__Nat__Onat
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring nat:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a9821fc8>, <kernel.Type object at 0xc4c050>) of role type named ty_n_t__Int__Oint
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring int:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2af4a9821f80>, <kernel.DependentProduct object at 0xc4c290>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Rat__Orat
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring archim2889992004027027881ng_rat:(rat->int)
% 0.45/0.65 FOF formula (<kernel.Constant object at 0xc4c1b8>, <kernel.DependentProduct object at 0xc4c320>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring archim7802044766580827645g_real:(real->int)
% 0.45/0.65 FOF formula (<kernel.Constant object at 0xc4c0e0>, <kernel.DependentProduct object at 0xc4c3b0>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring archim3151403230148437115or_rat:(rat->int)
% 0.45/0.65 FOF formula (<kernel.Constant object at 0xc4c098>, <kernel.DependentProduct object at 0xc4c440>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring archim6058952711729229775r_real:(real->int)
% 0.45/0.65 FOF formula (<kernel.Constant object at 0xc4c1b8>, <kernel.DependentProduct object at 0xc4c4d0>) of role type named sy_c_Archimedean__Field_Ofrac_001t__Rat__Orat
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring archimedean_frac_rat:(rat->rat)
% 0.45/0.65 FOF formula (<kernel.Constant object at 0xc4c0e0>, <kernel.DependentProduct object at 0xc4c518>) of role type named sy_c_Archimedean__Field_Ofrac_001t__Real__Oreal
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring archim2898591450579166408c_real:(real->real)
% 0.45/0.65 FOF formula (<kernel.Constant object at 0xc4c4d0>, <kernel.DependentProduct object at 0xc4c5a8>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.45/0.65 FOF formula (<kernel.Constant object at 0xc4c518>, <kernel.DependentProduct object at 0xc4c638>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring archim8280529875227126926d_real:(real->int)
% 0.45/0.65 FOF formula (<kernel.Constant object at 0xc4c5a8>, <kernel.Constant object at 0xc4c440>) of role type named sy_c_BNF__Cardinal__Order__Relation_OnatLeq
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring bNF_Ca8665028551170535155natLeq:set_Pr1261947904930325089at_nat
% 0.45/0.65 FOF formula (<kernel.Constant object at 0xc4c638>, <kernel.Constant object at 0xc4c4d0>) of role type named sy_c_BNF__Cardinal__Order__Relation_OnatLess
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring bNF_Ca8459412986667044542atLess:set_Pr1261947904930325089at_nat
% 0.45/0.65 FOF formula (<kernel.Constant object at 0xc4c440>, <kernel.DependentProduct object at 0xc4c758>) of role type named sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_I_062_It__Nat__Onat_Mt__Rat__Orat_J_M_062_It__Nat__Onat_Mt__Rat__Orat_J_J_001_062_I_062_It__Nat__Onat_Mt__Rat__Orat_J_M_062_It__Nat__Onat_Mt__Rat__Orat_J_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring bNF_re1962705104956426057at_rat:(((nat->rat)->((nat->rat)->Prop))->((((nat->rat)->(nat->rat))->(((nat->rat)->(nat->rat))->Prop))->(((nat->rat)->((nat->rat)->(nat->rat)))->(((nat->rat)->((nat->rat)->(nat->rat)))->Prop))))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0xc4c4d0>, <kernel.DependentProduct object at 0xc4c950>) of role type named sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring bNF_re895249473297799549at_rat:(((nat->rat)->((nat->rat)->Prop))->(((nat->rat)->((nat->rat)->Prop))->(((nat->rat)->(nat->rat))->(((nat->rat)->(nat->rat))->Prop))))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0xc4c758>, <kernel.DependentProduct object at 0xc4c638>) of role type named sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_Eo_001_Eo
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_re728719798268516973at_o_o:(((nat->rat)->((nat->rat)->Prop))->((Prop->(Prop->Prop))->(((nat->rat)->Prop)->(((nat->rat)->Prop)->Prop))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0xc4c950>, <kernel.DependentProduct object at 0xc4c830>) of role type named sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal_001_062_I_062_It__Nat__Onat_Mt__Rat__Orat_J_M_062_It__Nat__Onat_Mt__Rat__Orat_J_J_001_062_It__Real__Oreal_Mt__Real__Oreal_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_re4695409256820837752l_real:(((nat->rat)->(real->Prop))->((((nat->rat)->(nat->rat))->((real->real)->Prop))->(((nat->rat)->((nat->rat)->(nat->rat)))->((real->(real->real))->Prop))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0xc4c638>, <kernel.DependentProduct object at 0xc4cb00>) of role type named sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal_001_062_I_062_It__Nat__Onat_Mt__Rat__Orat_J_M_Eo_J_001_062_It__Real__Oreal_M_Eo_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_re4521903465945308077real_o:(((nat->rat)->(real->Prop))->((((nat->rat)->Prop)->((real->Prop)->Prop))->(((nat->rat)->((nat->rat)->Prop))->((real->(real->Prop))->Prop))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0xc4c830>, <kernel.DependentProduct object at 0xc4c950>) of role type named sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_re3023117138289059399t_real:(((nat->rat)->(real->Prop))->(((nat->rat)->(real->Prop))->(((nat->rat)->(nat->rat))->((real->real)->Prop))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0xc4cb00>, <kernel.DependentProduct object at 0xc4cc20>) of role type named sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal_001_Eo_001_Eo
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_re4297313714947099218al_o_o:(((nat->rat)->(real->Prop))->((Prop->(Prop->Prop))->(((nat->rat)->Prop)->((real->Prop)->Prop))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0xc4c950>, <kernel.DependentProduct object at 0xc4c7e8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_062_It__Int__Oint_M_Eo_J_001_062_It__Int__Oint_M_Eo_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_re3403563459893282935_int_o:((int->(int->Prop))->(((int->Prop)->((int->Prop)->Prop))->((int->(int->Prop))->((int->(int->Prop))->Prop))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0xc4cc20>, <kernel.DependentProduct object at 0xc4cdd0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_re711492959462206631nt_int:((int->(int->Prop))->(((int->int)->((int->int)->Prop))->((int->(int->int))->((int->(int->int))->Prop))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0xc4c7e8>, <kernel.DependentProduct object at 0xc4c638>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_Eo_001_Eo
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_re5089333283451836215nt_o_o:((int->(int->Prop))->((Prop->(Prop->Prop))->((int->Prop)->((int->Prop)->Prop))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0xc4cdd0>, <kernel.DependentProduct object at 0xc4cd88>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_re4712519889275205905nt_int:((int->(int->Prop))->((int->(int->Prop))->((int->int)->((int->int)->Prop))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0xc4c638>, <kernel.DependentProduct object at 0xc4cd40>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_Eo_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_re578469030762574527_nat_o:((nat->(nat->Prop))->(((nat->Prop)->((nat->Prop)->Prop))->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0xc4cd88>, <kernel.DependentProduct object at 0xc4cfc8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bNF_re1345281282404953727at_nat:((nat->(nat->Prop))->(((nat->nat)->((nat->nat)->Prop))->((nat->(nat->nat))->((nat->(nat->nat))->Prop))))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0xc4cd40>, <kernel.DependentProduct object at 0xc4cf80>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_Eo_001_Eo
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bNF_re4705727531993890431at_o_o:((nat->(nat->Prop))->((Prop->(Prop->Prop))->((nat->Prop)->((nat->Prop)->Prop))))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0xc4cfc8>, <kernel.DependentProduct object at 0xc4c758>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bNF_re5653821019739307937at_nat:((nat->(nat->Prop))->((nat->(nat->Prop))->((nat->nat)->((nat->nat)->Prop))))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0xc4cf80>, <kernel.DependentProduct object at 0xc4f1b8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bNF_re6830278522597306478at_int:((nat->(nat->Prop))->((product_prod_nat_nat->(int->Prop))->((nat->product_prod_nat_nat)->((nat->int)->Prop))))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0xc4c758>, <kernel.DependentProduct object at 0xc4f248>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Rat__Orat_001t__Rat__Orat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bNF_re4702136315717946289at_rat:((nat->(nat->Prop))->((rat->(rat->Prop))->((nat->rat)->((nat->rat)->Prop))))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0xc4c758>, <kernel.DependentProduct object at 0xc4f128>) of role type named sy_c_BNF__Def_Orel__fun_001t__Num__Onum_001t__Num__Onum_001_062_It__Num__Onum_Mt__Int__Oint_J_001_062_It__Num__Onum_Mt__Int__Oint_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bNF_re8402795839162346335um_int:((num->(num->Prop))->(((num->int)->((num->int)->Prop))->((num->(num->int))->((num->(num->int))->Prop))))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0xc4cd88>, <kernel.DependentProduct object at 0xc4f248>) of role type named sy_c_BNF__Def_Orel__fun_001t__Num__Onum_001t__Num__Onum_001t__Int__Oint_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bNF_re1822329894187522285nt_int:((num->(num->Prop))->((int->(int->Prop))->((num->int)->((num->int)->Prop))))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0xc4f290>, <kernel.DependentProduct object at 0xc4f128>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo_001_Eo
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bNF_re8699439704749558557nt_o_o:((product_prod_int_int->(product_prod_int_int->Prop))->((Prop->(Prop->Prop))->((product_prod_int_int->Prop)->((product_prod_int_int->Prop)->Prop))))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0xc4f248>, <kernel.DependentProduct object at 0xc4f3f8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat_001_Eo_001_Eo
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bNF_re1494630372529172596at_o_o:((product_prod_int_int->(rat->Prop))->((Prop->(Prop->Prop))->((product_prod_int_int->Prop)->((rat->Prop)->Prop))))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0xc4f128>, <kernel.DependentProduct object at 0xc4f248>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001_062_It__Int__Oint_M_Eo_J
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bNF_re717283939379294677_int_o:((product_prod_nat_nat->(int->Prop))->(((product_prod_nat_nat->Prop)->((int->Prop)->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((int->(int->Prop))->Prop))))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0xc4f3b0>, <kernel.DependentProduct object at 0xc4f5f0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_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
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bNF_re7408651293131936558nt_int:((product_prod_nat_nat->(int->Prop))->(((product_prod_nat_nat->product_prod_nat_nat)->((int->int)->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->((int->(int->int))->Prop))))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0xc4f248>, <kernel.DependentProduct object at 0xc4f170>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001_Eo_001_Eo
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bNF_re6644619430987730960nt_o_o:((product_prod_nat_nat->(int->Prop))->((Prop->(Prop->Prop))->((product_prod_nat_nat->Prop)->((int->Prop)->Prop))))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0xc4f5f0>, <kernel.DependentProduct object at 0xc4f5a8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bNF_re7400052026677387805at_int:((product_prod_nat_nat->(int->Prop))->((product_prod_nat_nat->(int->Prop))->((product_prod_nat_nat->product_prod_nat_nat)->((int->int)->Prop))))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0xc4f170>, <kernel.DependentProduct object at 0xc4f560>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_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__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bNF_re4202695980764964119_nat_o:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->Prop))))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0xc4f5a8>, <kernel.DependentProduct object at 0xc4f830>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_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__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bNF_re3099431351363272937at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(((product_prod_nat_nat->product_prod_nat_nat)->((product_prod_nat_nat->product_prod_nat_nat)->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->Prop))))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0xc4f560>, <kernel.DependentProduct object at 0xc4f200>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo_001_Eo
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bNF_re3666534408544137501at_o_o:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((Prop->(Prop->Prop))->((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->Prop))))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0xc4f830>, <kernel.DependentProduct object at 0xc4f7e8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bNF_re2241393799969408733at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((product_prod_nat_nat->product_prod_nat_nat)->((product_prod_nat_nat->product_prod_nat_nat)->Prop))))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0xc4f200>, <kernel.DependentProduct object at 0xc4f8c0>) of role type named sy_c_BNF__Wellorder__Relation_Owo__rel_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bNF_We3818239936649020644el_nat:(set_Pr1261947904930325089at_nat->Prop)
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4f7e8>, <kernel.DependentProduct object at 0xc4f7a0>) of role type named sy_c_Basic__BNFs_Opred__fun_001t__Nat__Onat_001t__Rat__Orat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring basic_208271146493774413at_rat:((nat->Prop)->((rat->Prop)->((nat->rat)->Prop)))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4f950>, <kernel.DependentProduct object at 0xc4f8c0>) of role type named sy_c_Binomial_Obinomial
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring binomial:(nat->(nat->nat))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4f9e0>, <kernel.DependentProduct object at 0xc4f7e8>) of role type named sy_c_Binomial_Ogbinomial_001t__Complex__Ocomplex
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring gbinomial_complex:(complex->(nat->complex))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4f830>, <kernel.DependentProduct object at 0xc4f950>) of role type named sy_c_Binomial_Ogbinomial_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring gbinomial_int:(int->(nat->int))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4f5a8>, <kernel.DependentProduct object at 0xc4f9e0>) of role type named sy_c_Binomial_Ogbinomial_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring gbinomial_nat:(nat->(nat->nat))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4f290>, <kernel.DependentProduct object at 0xc4f830>) of role type named sy_c_Binomial_Ogbinomial_001t__Rat__Orat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring gbinomial_rat:(rat->(nat->rat))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4f7a0>, <kernel.DependentProduct object at 0xc4f5a8>) of role type named sy_c_Binomial_Ogbinomial_001t__Real__Oreal
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring gbinomial_real:(real->(nat->real))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4f320>, <kernel.DependentProduct object at 0xc4f7a0>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4f8c0>, <kernel.DependentProduct object at 0xc4f5a8>) of role type named sy_c_Bit__Operations_Oand__not__num
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_and_not_num:(num->(num->option_num))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4f950>, <kernel.DependentProduct object at 0xc4f290>) of role type named sy_c_Bit__Operations_Oand__not__num__rel
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_and_not_num_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4fb90>, <kernel.DependentProduct object at 0xc4f950>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4fcb0>, <kernel.DependentProduct object at 0xc4f320>) of role type named sy_c_Bit__Operations_Oor__not__num__neg
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_or_not_num_neg:(num->(num->num))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4f290>, <kernel.DependentProduct object at 0xc4fcb0>) of role type named sy_c_Bit__Operations_Oor__not__num__neg__rel
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_or3848514188828904588eg_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4f320>, <kernel.DependentProduct object at 0xc4fd40>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4fcb0>, <kernel.DependentProduct object at 0xc4f320>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4fd40>, <kernel.DependentProduct object at 0xc4fcb0>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4f320>, <kernel.DependentProduct object at 0xc4fd40>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Code____Numeral__Ointeger
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se3949692690581998587nteger:(code_integer->(code_integer->code_integer))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4fcb0>, <kernel.DependentProduct object at 0xc4f320>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4fd40>, <kernel.DependentProduct object at 0xc4fcb0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4f320>, <kernel.DependentProduct object at 0xc4fef0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4f320>, <kernel.DependentProduct object at 0xc560e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4f320>, <kernel.DependentProduct object at 0xc561b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc4ff80>, <kernel.DependentProduct object at 0xc56248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc561b8>, <kernel.DependentProduct object at 0xc562d8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc560e0>, <kernel.DependentProduct object at 0xc56050>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Code____Numeral__Ointeger
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se2119862282449309892nteger:(nat->code_integer)
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc56200>, <kernel.DependentProduct object at 0xc56440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc561b8>, <kernel.DependentProduct object at 0xc564d0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc56200>, <kernel.DependentProduct object at 0xc561b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc564d0>, <kernel.DependentProduct object at 0xc56200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc561b8>, <kernel.DependentProduct object at 0xc564d0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc56200>, <kernel.DependentProduct object at 0xc561b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc564d0>, <kernel.DependentProduct object at 0xc56200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc561b8>, <kernel.DependentProduct object at 0xc564d0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc56200>, <kernel.DependentProduct object at 0xc561b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc564d0>, <kernel.DependentProduct object at 0xc56200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Code____Numeral__Ointeger
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se1745604003318907178nteger:(nat->(code_integer->code_integer))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc561b8>, <kernel.DependentProduct object at 0xc564d0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc56200>, <kernel.DependentProduct object at 0xc561b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc564d0>, <kernel.DependentProduct object at 0xc56200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc561b8>, <kernel.DependentProduct object at 0xc564d0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc56200>, <kernel.DependentProduct object at 0xc561b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc564d0>, <kernel.DependentProduct object at 0xc56200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc561b8>, <kernel.DependentProduct object at 0xc564d0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc56200>, <kernel.DependentProduct object at 0xc561b8>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Code____Numeral__Ointeger
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se9216721137139052372nteger:(code_integer->(nat->Prop))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc564d0>, <kernel.DependentProduct object at 0xc56200>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc561b8>, <kernel.DependentProduct object at 0xc564d0>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc56ea8>, <kernel.DependentProduct object at 0xc56200>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0xc561b8>, <kernel.DependentProduct object at 0xc56ea8>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oand__num
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring bit_un1837492267222099188nd_num:(num->(num->option_num))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc56200>, <kernel.DependentProduct object at 0xc58098>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oand__num__rel
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring bit_un5425074673868309765um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc56ea8>, <kernel.DependentProduct object at 0xc56f80>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oxor__num
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring bit_un6178654185764691216or_num:(num->(num->option_num))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc56ea8>, <kernel.DependentProduct object at 0xc58050>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oxor__num__rel
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring bit_un3595099601533988841um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc56ea8>, <kernel.DependentProduct object at 0xc58170>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring bit_un7362597486090784418nd_num:(num->(num->option_num))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc56200>, <kernel.DependentProduct object at 0xc58290>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num__rel
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring bit_un4731106466462545111um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc58248>, <kernel.DependentProduct object at 0xc581b8>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring bit_un2480387367778600638or_num:(num->(num->option_num))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc58368>, <kernel.DependentProduct object at 0xc583b0>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num__rel
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring bit_un2901131394128224187um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc56200>, <kernel.DependentProduct object at 0xc58488>) of role type named sy_c_Code__Numeral_ONeg
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_Neg:(num->code_integer)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc58320>, <kernel.DependentProduct object at 0xc584d0>) of role type named sy_c_Code__Numeral_OPos
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_Pos:(num->code_integer)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc58248>, <kernel.DependentProduct object at 0xc58368>) of role type named sy_c_Code__Numeral_Obit__cut__integer
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_bit_cut_integer:(code_integer->produc6271795597528267376eger_o)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc581b8>, <kernel.DependentProduct object at 0xc58248>) of role type named sy_c_Code__Numeral_Odivmod__abs
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_divmod_abs:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc583b0>, <kernel.DependentProduct object at 0xc58368>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc585a8>, <kernel.DependentProduct object at 0xc58518>) of role type named sy_c_Code__Numeral_Odup
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_dup:(code_integer->code_integer)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc58368>, <kernel.DependentProduct object at 0xc58680>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_int_of_integer:(code_integer->int)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc58560>, <kernel.DependentProduct object at 0xc58638>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_integer_of_int:(int->code_integer)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc583b0>, <kernel.DependentProduct object at 0xc586c8>) of role type named sy_c_Code__Numeral_Ointeger__of__num
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_integer_of_num:(num->code_integer)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc58518>, <kernel.DependentProduct object at 0xc58710>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_nat_of_integer:(code_integer->nat)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc58680>, <kernel.DependentProduct object at 0xc58758>) of role type named sy_c_Code__Numeral_Onum__of__integer
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_num_of_integer:(code_integer->num)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc58638>, <kernel.DependentProduct object at 0xc58518>) of role type named sy_c_Code__Numeral_Osub
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_sub:(num->(num->code_integer))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc585f0>, <kernel.DependentProduct object at 0xc586c8>) of role type named sy_c_Code__Target__Int_Onegative
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_Target_negative:(num->int)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc587a0>, <kernel.DependentProduct object at 0xc58878>) of role type named sy_c_Code__Target__Int_Opositive
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring code_Target_positive:(num->int)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc58680>, <kernel.DependentProduct object at 0xc58518>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Extended____Nat__Oenat
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring comple2295165028678016749d_enat:(set_Extended_enat->extended_enat)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc587a0>, <kernel.DependentProduct object at 0xc58680>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring comple8358262395181532106omplex:(set_fi4554929511873752355omplex->filter6041513312241820739omplex)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc58518>, <kernel.DependentProduct object at 0xc587a0>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring comple2936214249959783750l_real:(set_fi7789364187291644575l_real->filter2146258269922977983l_real)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc58680>, <kernel.DependentProduct object at 0xc58a28>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Real__Oreal
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring comple4887499456419720421f_real:(set_real->real)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc587a0>, <kernel.DependentProduct object at 0xc58ab8>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Extended____Nat__Oenat
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring comple4398354569131411667d_enat:(set_Extended_enat->extended_enat)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc58a28>, <kernel.DependentProduct object at 0xc58b48>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Real__Oreal
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring comple1385675409528146559p_real:(set_real->real)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc588c0>, <kernel.DependentProduct object at 0xc58bd8>) of role type named sy_c_Complex_OArg
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring arg:(complex->real)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc58a70>, <kernel.DependentProduct object at 0xc58c20>) of role type named sy_c_Complex_Ocis
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring cis:(real->complex)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc58b00>, <kernel.DependentProduct object at 0xc58c68>) of role type named sy_c_Complex_Ocnj
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring cnj:(complex->complex)
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc58758>, <kernel.DependentProduct object at 0xc58b00>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring complex2:(real->(real->complex))
% 0.45/0.70 FOF formula (<kernel.Constant object at 0xc58cf8>, <kernel.DependentProduct object at 0xc58d88>) of role type named sy_c_Complex_Ocomplex_OIm
% 0.45/0.70 Using role type
% 0.45/0.70 Declaring im:(complex->real)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0xc58b00>, <kernel.DependentProduct object at 0xc58d40>) of role type named sy_c_Complex_Ocomplex_ORe
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring re:(complex->real)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0xc58a28>, <kernel.DependentProduct object at 0xc58c20>) of role type named sy_c_Complex_Ocsqrt
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring csqrt:(complex->complex)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0xc58b48>, <kernel.Constant object at 0xc58d88>) of role type named sy_c_Complex_Oimaginary__unit
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring imaginary_unit:complex
% 0.45/0.71 FOF formula (<kernel.Constant object at 0xc58c68>, <kernel.DependentProduct object at 0xc58b00>) of role type named sy_c_Complex_Orcis
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring rcis:(real->(real->complex))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0xc58758>, <kernel.DependentProduct object at 0xc58c68>) of role type named sy_c_Countable_Onth__item__rel
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring nth_item_rel:(nat->(nat->Prop))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0xc58c20>, <kernel.DependentProduct object at 0xc58ea8>) of role type named sy_c_Deriv_Odifferentiable_001t__Real__Oreal_001t__Real__Oreal
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring differ6690327859849518006l_real:((real->real)->(filter_real->Prop))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0xc58758>, <kernel.DependentProduct object at 0xc58fc8>) of role type named sy_c_Deriv_Ohas__derivative_001t__Real__Oreal_001t__Real__Oreal
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring has_de1759254742604945161l_real:((real->real)->((real->real)->(filter_real->Prop)))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0xc58ea8>, <kernel.DependentProduct object at 0xc58f80>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0xc58cf8>, <kernel.DependentProduct object at 0x2af4a982b0e0>) of role type named sy_c_Divides_Oadjust__div
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring adjust_div:(product_prod_int_int->int)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0xc58c68>, <kernel.DependentProduct object at 0xc58f80>) of role type named sy_c_Divides_Oadjust__mod
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring adjust_mod:(int->(int->int))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0xc58758>, <kernel.DependentProduct object at 0xc58fc8>) of role type named sy_c_Divides_Odivmod__nat
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0xc58e18>, <kernel.DependentProduct object at 0x2af4a982b170>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0xc58e18>, <kernel.DependentProduct object at 0x2af4a982b128>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Code____Numeral__Ointeger
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring unique5706413561485394159nteger:(produc8923325533196201883nteger->Prop)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0xc58e18>, <kernel.DependentProduct object at 0x2af4a982b1b8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x2af4a982b0e0>, <kernel.DependentProduct object at 0x2af4a982b248>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x2af4a982b1b8>, <kernel.DependentProduct object at 0x2af4a982b320>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x2af4a982b200>, <kernel.DependentProduct object at 0x2af4a982b3f8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x2af4a982b3b0>, <kernel.DependentProduct object at 0x2af4a982b200>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x2af4a982b3f8>, <kernel.DependentProduct object at 0x2af4a982b518>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring unique4921790084139445826nteger:(num->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x2af4a982b200>, <kernel.DependentProduct object at 0x2af4a982b3f8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x2af4a982b518>, <kernel.DependentProduct object at 0x2af4a982b200>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x2af4a982b3f8>, <kernel.DependentProduct object at 0x2af4a982b3b0>) of role type named sy_c_Euclidean__Division_Oeuclidean__semiring__class_Oeuclidean__size_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring euclid4774559944035922753ze_int:(int->nat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x2af4a982b200>, <kernel.DependentProduct object at 0x2af4a982b758>) of role type named sy_c_Euclidean__Division_Oeuclidean__semiring__class_Oeuclidean__size_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring euclid4777050414544973029ze_nat:(nat->nat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x2af4a982b3b0>, <kernel.DependentProduct object at 0x2af4a982b7e8>) of role type named sy_c_Euclidean__Division_Ounique__euclidean__semiring__class_Odivision__segment_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring euclid3395696857347342551nt_int:(int->int)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x2af4a982b758>, <kernel.DependentProduct object at 0x2af4a982b878>) of role type named sy_c_Euclidean__Division_Ounique__euclidean__semiring__class_Odivision__segment_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring euclid3398187327856392827nt_nat:(nat->nat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x2af4a982b560>, <kernel.DependentProduct object at 0x2af4a982b908>) of role type named sy_c_Extended__Nat_OeSuc
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring extended_eSuc:(extended_enat->extended_enat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x2af4a982b7a0>, <kernel.DependentProduct object at 0x2af4a982b950>) of role type named sy_c_Extended__Nat_Oenat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring extended_enat2:(nat->extended_enat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x2af4a982b248>, <kernel.DependentProduct object at 0x2af4a982b9e0>) of role type named sy_c_Extended__Nat_Oenat_OAbs__enat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring extended_Abs_enat:(option_nat->extended_enat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x2af4a982b830>, <kernel.DependentProduct object at 0x2af4a982ba28>) of role type named sy_c_Extended__Nat_Oenat_ORep__enat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring extended_Rep_enat:(extended_enat->option_nat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x2af4a982b7e8>, <kernel.DependentProduct object at 0x2af4a982ba28>) of role type named sy_c_Extended__Nat_Oenat_Ocase__enat_001_Eo
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring extended_case_enat_o:((nat->Prop)->(Prop->(extended_enat->Prop)))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x2af4a982b248>, <kernel.DependentProduct object at 0x2af4a982b950>) of role type named sy_c_Extended__Nat_Oenat_Ocase__enat_001t__Extended____Nat__Oenat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring extend3600170679010898289d_enat:((nat->extended_enat)->(extended_enat->(extended_enat->extended_enat)))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x2af4a982ba28>, <kernel.Constant object at 0x2af4a982b830>) of role type named sy_c_Extended__Nat_Oinfinity__class_Oinfinity_001t__Extended____Nat__Oenat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring extend5688581933313929465d_enat:extended_enat
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982b908>, <kernel.DependentProduct object at 0x2af4a982bbd8>) of role type named sy_c_Extended__Nat_Othe__enat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring extended_the_enat:(extended_enat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982b950>, <kernel.DependentProduct object at 0x2af4a982b830>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Code____Numeral__Ointeger
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring comm_s8582702949713902594nteger:(code_integer->(nat->code_integer))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982b908>, <kernel.DependentProduct object at 0x2af4a982b950>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Complex__Ocomplex
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring comm_s2602460028002588243omplex:(complex->(nat->complex))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982b830>, <kernel.DependentProduct object at 0x2af4a982b908>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Extended____Nat__Oenat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring comm_s3181272606743183617d_enat:(extended_enat->(nat->extended_enat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982b950>, <kernel.DependentProduct object at 0x2af4a982b830>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring comm_s4660882817536571857er_int:(int->(nat->int))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982b908>, <kernel.DependentProduct object at 0x2af4a982b950>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring comm_s4663373288045622133er_nat:(nat->(nat->nat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982b830>, <kernel.DependentProduct object at 0x2af4a982b908>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Rat__Orat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring comm_s4028243227959126397er_rat:(rat->(nat->rat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982b950>, <kernel.DependentProduct object at 0x2af4a982b830>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring comm_s7457072308508201937r_real:(real->(nat->real))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982b908>, <kernel.DependentProduct object at 0x2af4a982b7e8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Code____Numeral__Ointeger
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring semiri3624122377584611663nteger:(nat->code_integer)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982b830>, <kernel.DependentProduct object at 0x2af4a982e098>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982b7e8>, <kernel.DependentProduct object at 0x2af4a982e128>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Extended____Nat__Oenat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring semiri4449623510593786356d_enat:(nat->extended_enat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982b7e8>, <kernel.DependentProduct object at 0x2af4a982e1b8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring semiri1406184849735516958ct_int:(nat->int)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982b908>, <kernel.DependentProduct object at 0x2af4a982e248>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e128>, <kernel.DependentProduct object at 0x2af4a982e2d8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Rat__Orat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring semiri773545260158071498ct_rat:(nat->rat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e098>, <kernel.DependentProduct object at 0x2af4a982e368>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e1b8>, <kernel.DependentProduct object at 0x2af4a982e3f8>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Complex__Ocomplex
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring invers8013647133539491842omplex:(complex->complex)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e128>, <kernel.DependentProduct object at 0x2af4a982e488>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring inverse_inverse_rat:(rat->rat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e3f8>, <kernel.DependentProduct object at 0x2af4a982e4d0>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring inverse_inverse_real:(real->real)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e368>, <kernel.Constant object at 0x2af4a982e4d0>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring at_bot_real:filter_real
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e488>, <kernel.Constant object at 0x2af4a982e4d0>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring at_top_nat:filter_nat
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e050>, <kernel.Constant object at 0x2af4a982e4d0>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring at_top_real:filter_real
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e098>, <kernel.DependentProduct object at 0x2af4a982e488>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e050>, <kernel.DependentProduct object at 0x2af4a982e518>) of role type named sy_c_Filter_Oeventually_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring eventu1038000079068216329at_nat:((product_prod_nat_nat->Prop)->(filter1242075044329608583at_nat->Prop))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e1b8>, <kernel.DependentProduct object at 0x2af4a982e488>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e518>, <kernel.DependentProduct object at 0x2af4a982e4d0>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e758>, <kernel.DependentProduct object at 0x2af4a982e098>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e7e8>, <kernel.DependentProduct object at 0x2af4a982e710>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e758>, <kernel.DependentProduct object at 0x2af4a982e7e8>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring princi3496590319149328850omplex:(set_Pr5085853215250843933omplex->filter6041513312241820739omplex)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e710>, <kernel.DependentProduct object at 0x2af4a982e758>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring princi6114159922880469582l_real:(set_Pr6218003697084177305l_real->filter2146258269922977983l_real)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e1b8>, <kernel.DependentProduct object at 0x2af4a982e7e8>) of role type named sy_c_Filter_Oprod__filter_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring prod_filter_nat_nat:(filter_nat->(filter_nat->filter1242075044329608583at_nat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e248>, <kernel.DependentProduct object at 0x2af4a982e908>) of role type named sy_c_Finite__Set_Ocard_001_Eo
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring finite_card_o:(set_o->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e8c0>, <kernel.DependentProduct object at 0x2af4a982e1b8>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring finite_card_complex:(set_complex->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e908>, <kernel.DependentProduct object at 0x2af4a982e9e0>) of role type named sy_c_Finite__Set_Ocard_001t__List__Olist_It__Nat__Onat_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring finite_card_list_nat:(set_list_nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e518>, <kernel.DependentProduct object at 0x2af4a982ea28>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring finite_card_nat:(set_nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e908>, <kernel.DependentProduct object at 0x2af4a982ea70>) of role type named sy_c_Finite__Set_Ocard_001t__Product____Type__Ounit
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring finite410649719033368117t_unit:(set_Product_unit->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e248>, <kernel.DependentProduct object at 0x2af4a982eb00>) of role type named sy_c_Finite__Set_Ocard_001t__String__Ochar
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring finite_card_char:(set_char->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e950>, <kernel.DependentProduct object at 0x2af4a982eb48>) of role type named sy_c_Finite__Set_Ofinite_001_Eo
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring finite_finite_o:(set_o->Prop)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e908>, <kernel.DependentProduct object at 0x2af4a982ea28>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e950>, <kernel.DependentProduct object at 0x2af4a982ebd8>) of role type named sy_c_Finite__Set_Ofinite_001t__Extended____Nat__Oenat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring finite4001608067531595151d_enat:(set_Extended_enat->Prop)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e908>, <kernel.DependentProduct object at 0x2af4a982ec68>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring finite_finite_int:(set_int->Prop)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982ea28>, <kernel.DependentProduct object at 0x2af4a982ecb0>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_I_Eo_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring finite_finite_list_o:(set_list_o->Prop)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982e908>, <kernel.DependentProduct object at 0x2af4a982ecf8>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Complex__Ocomplex_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring finite8712137658972009173omplex:(set_list_complex->Prop)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982ecb0>, <kernel.DependentProduct object at 0x2af4a982ed88>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Extended____Nat__Oenat_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring finite1862508098717546133d_enat:(set_li5464603477888414924d_enat->Prop)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982ecf8>, <kernel.DependentProduct object at 0x2af4a982ee18>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Int__Oint_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring finite3922522038869484883st_int:(set_list_int->Prop)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982ed88>, <kernel.DependentProduct object at 0x2af4a982eea8>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Nat__Onat_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring finite8100373058378681591st_nat:(set_list_nat->Prop)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x2af4a982ee18>, <kernel.DependentProduct object at 0x2af4a982ef38>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring finite3004134309566078307T_VEBT:(set_list_VEBT_VEBT->Prop)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x2af4a982ed88>, <kernel.DependentProduct object at 0x2af4a982efc8>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring finite_finite_nat:(set_nat->Prop)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x2af4a982eea8>, <kernel.DependentProduct object at 0x2af4a9834050>) of role type named sy_c_Finite__Set_Ofinite_001t__Num__Onum
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring finite_finite_num:(set_num->Prop)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x2af4a982ed88>, <kernel.DependentProduct object at 0x2af4a9834098>) of role type named sy_c_Finite__Set_Ofinite_001t__Option__Ooption_It__Nat__Onat_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring finite5523153139673422903on_nat:(set_option_nat->Prop)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x2af4a982eea8>, <kernel.DependentProduct object at 0x2af4a9834128>) of role type named sy_c_Finite__Set_Ofinite_001t__Rat__Orat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring finite_finite_rat:(set_rat->Prop)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x2af4a982ef38>, <kernel.DependentProduct object at 0x2af4a9834170>) of role type named sy_c_Finite__Set_Ofinite_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring finite_finite_real:(set_real->Prop)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x2af4a982ef38>, <kernel.DependentProduct object at 0x2af4a98341b8>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring finite6430367030675640852at_rat:(set_set_nat_rat->Prop)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x2af4a9834050>, <kernel.DependentProduct object at 0x2af4a9834248>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring finite1152437895449049373et_nat:(set_set_nat->Prop)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x2af4a98341b8>, <kernel.DependentProduct object at 0x2af4a98342d8>) of role type named sy_c_Finite__Set_Ofinite_001t__VEBT____Definitions__OVEBT
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring finite5795047828879050333T_VEBT:(set_VEBT_VEBT->Prop)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x2af4a9834248>, <kernel.DependentProduct object at 0x2af4a98341b8>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x2af4a98343f8>, <kernel.DependentProduct object at 0x2af4a98341b8>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x2af4a9834440>, <kernel.DependentProduct object at 0x2af4a9834368>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x2af4a9834518>, <kernel.DependentProduct object at 0x2af4a98344d0>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Int__Oint_001t__Num__Onum
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring comp_int_int_num:((int->int)->((num->int)->(num->int)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x2af4a9834560>, <kernel.DependentProduct object at 0x2af4a98345a8>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring comp_int_nat_int:((int->nat)->((int->int)->(int->nat)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x2af4a98345f0>, <kernel.DependentProduct object at 0x2af4a98342d8>) of role type named sy_c_Fun_Oid_001_Eo
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring id_o:(Prop->Prop)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x2af4a98340e0>, <kernel.DependentProduct object at 0x2af4a98343f8>) of role type named sy_c_Fun_Oid_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring id_nat:(nat->nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x2af4a9834290>, <kernel.DependentProduct object at 0x2af4a98343f8>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring inj_on_nat_nat:((nat->nat)->(set_nat->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a98340e0>, <kernel.DependentProduct object at 0x2af4a98344d0>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__String__Ochar
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring inj_on_nat_char:((nat->char)->(set_nat->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a98343f8>, <kernel.DependentProduct object at 0x2af4a98345f0>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Real__Oreal
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring inj_on_real_real:((real->real)->(set_real->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a98340e0>, <kernel.DependentProduct object at 0x2af4a98341b8>) 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
% 0.53/0.74 Using role type
% 0.53/0.74 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)))))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a98345f0>, <kernel.DependentProduct object at 0x2af4a98342d8>) 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
% 0.53/0.74 Using role type
% 0.53/0.74 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)))))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a98341b8>, <kernel.DependentProduct object at 0x2af4a98345f0>) 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
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring map_fu4826362097070443709at_o_o:((int->product_prod_nat_nat)->((Prop->Prop)->((product_prod_nat_nat->Prop)->(int->Prop))))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a98342d8>, <kernel.DependentProduct object at 0x2af4a9834950>) 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
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring map_fu3667384564859982768at_int:((int->product_prod_nat_nat)->((product_prod_nat_nat->int)->((product_prod_nat_nat->product_prod_nat_nat)->(int->int))))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a98345f0>, <kernel.DependentProduct object at 0x2af4a98342d8>) of role type named sy_c_Fun_Omap__fun_001t__Rat__Orat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo_001_Eo
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring map_fu898904425404107465nt_o_o:((rat->product_prod_int_int)->((Prop->Prop)->((product_prod_int_int->Prop)->(rat->Prop))))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a9834950>, <kernel.DependentProduct object at 0x2af4a9834878>) of role type named sy_c_Fun_Omap__fun_001t__Real__Oreal_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_I_062_It__Nat__Onat_Mt__Rat__Orat_J_M_062_It__Nat__Onat_Mt__Rat__Orat_J_J_001_062_It__Real__Oreal_Mt__Real__Oreal_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring map_fu1532550112467129777l_real:((real->(nat->rat))->((((nat->rat)->(nat->rat))->(real->real))->(((nat->rat)->((nat->rat)->(nat->rat)))->(real->(real->real)))))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a98342d8>, <kernel.DependentProduct object at 0x2af4a9834998>) of role type named sy_c_Fun_Omap__fun_001t__Real__Oreal_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring map_fu7146612038024189824t_real:((real->(nat->rat))->(((nat->rat)->real)->(((nat->rat)->(nat->rat))->(real->real))))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a9834878>, <kernel.DependentProduct object at 0x2af4a9834a28>) of role type named sy_c_Fun_Omap__fun_001t__Real__Oreal_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_Eo_001_Eo
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring map_fu1856342031159181835at_o_o:((real->(nat->rat))->((Prop->Prop)->(((nat->rat)->Prop)->(real->Prop))))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a9834998>, <kernel.DependentProduct object at 0x2af4a98343f8>) of role type named sy_c_Fun_Ostrict__mono__on_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring strict1292158309912662752at_nat:((nat->nat)->(set_nat->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a9834a28>, <kernel.DependentProduct object at 0x2af4a9834c68>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a98341b8>, <kernel.Constant object at 0x2af4a9834b90>) of role type named sy_c_Fun__Def_Opair__leq
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring fun_pair_leq:set_Pr8693737435421807431at_nat
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a9834bd8>, <kernel.Constant object at 0x2af4a9834908>) of role type named sy_c_Fun__Def_Opair__less
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring fun_pair_less:set_Pr8693737435421807431at_nat
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a9834998>, <kernel.DependentProduct object at 0x2af4a98341b8>) of role type named sy_c_GCD_Obezw
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring bezw:(nat->(nat->product_prod_int_int))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a9834c20>, <kernel.DependentProduct object at 0x2af4a9834bd8>) of role type named sy_c_GCD_Obezw__rel
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring bezw_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a9834cf8>, <kernel.DependentProduct object at 0x2af4a9834998>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring gcd_gcd_int:(int->(int->int))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a9834d40>, <kernel.DependentProduct object at 0x2af4a9834c20>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring gcd_gcd_nat:(nat->(nat->nat))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a9834dd0>, <kernel.DependentProduct object at 0x2af4a9834cf8>) of role type named sy_c_GCD_Ogcd__class_Olcm_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring gcd_lcm_int:(int->(int->int))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a9834908>, <kernel.DependentProduct object at 0x2af4a9834d40>) of role type named sy_c_GCD_Ogcd__class_Olcm_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring gcd_lcm_nat:(nat->(nat->nat))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a9834d88>, <kernel.DependentProduct object at 0x2af4a9834dd0>) of role type named sy_c_GCD_Ogcd__nat__rel
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring gcd_nat_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a9834b90>, <kernel.DependentProduct object at 0x2af4a9834bd8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a9834cf8>, <kernel.DependentProduct object at 0x2af4a9834f38>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring abs_abs_complex:(complex->complex)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a9834ef0>, <kernel.DependentProduct object at 0x2af4a9834f80>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring abs_abs_int:(int->int)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a9834dd0>, <kernel.DependentProduct object at 0x2af4a9834fc8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring abs_abs_rat:(rat->rat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a9834bd8>, <kernel.DependentProduct object at 0x2af4a9838050>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring abs_abs_real:(real->real)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x2af4a9834dd0>, <kernel.DependentProduct object at 0x2af4a9834f38>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_8373710615458151222nteger:(code_integer->(code_integer->code_integer))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9834fc8>, <kernel.DependentProduct object at 0x2af4a9834cf8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9834fc8>, <kernel.DependentProduct object at 0x2af4a98381b8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Extended____Nat__Oenat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_3235023915231533773d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9834cf8>, <kernel.DependentProduct object at 0x2af4a9838170>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_minus_int:(int->(int->int))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9834f38>, <kernel.DependentProduct object at 0x2af4a9838290>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9834cf8>, <kernel.DependentProduct object at 0x2af4a9838128>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_minus_rat:(rat->(rat->rat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9834f38>, <kernel.DependentProduct object at 0x2af4a98381b8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_minus_real:(real->(real->real))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a98382d8>, <kernel.DependentProduct object at 0x2af4a9838368>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838170>, <kernel.DependentProduct object at 0x2af4a98382d8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_925952699566721837d_enat:(set_Extended_enat->(set_Extended_enat->set_Extended_enat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838248>, <kernel.DependentProduct object at 0x2af4a9838368>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838050>, <kernel.DependentProduct object at 0x2af4a9838170>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838248>, <kernel.DependentProduct object at 0x2af4a9838050>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Option__Ooption_It__Nat__Onat_J_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_5999362281193037231on_nat:(set_option_nat->(set_option_nat->set_option_nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838200>, <kernel.DependentProduct object at 0x2af4a9838170>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838248>, <kernel.DependentProduct object at 0x2af4a9838200>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_1626877696091177228at_rat:(set_set_nat_rat->(set_set_nat_rat->set_set_nat_rat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838170>, <kernel.DependentProduct object at 0x2af4a9838248>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_5127226145743854075T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838320>, <kernel.DependentProduct object at 0x2af4a9838710>) of role type named sy_c_Groups_Omonoid_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring monoid_nat:((nat->(nat->nat))->(nat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838560>, <kernel.Constant object at 0x2af4a9838320>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring one_one_Code_integer:code_integer
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a98386c8>, <kernel.Constant object at 0x2af4a9838320>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring one_one_complex:complex
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838560>, <kernel.Constant object at 0x2af4a9838710>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a98385a8>, <kernel.Constant object at 0x2af4a9838710>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring one_one_int:int
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a98387a0>, <kernel.Constant object at 0x2af4a9838710>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring one_one_nat:nat
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838638>, <kernel.Constant object at 0x2af4a9838710>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring one_one_rat:rat
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a98387e8>, <kernel.Constant object at 0x2af4a9838710>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring one_one_real:real
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838638>, <kernel.DependentProduct object at 0x2af4a98387e8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838950>, <kernel.DependentProduct object at 0x2af4a9838710>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838638>, <kernel.DependentProduct object at 0x2af4a9838950>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838a28>, <kernel.DependentProduct object at 0x2af4a9838710>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring plus_plus_int:(int->(int->int))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838830>, <kernel.DependentProduct object at 0x2af4a9838638>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838b00>, <kernel.DependentProduct object at 0x2af4a9838a28>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring plus_plus_num:(num->(num->num))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a98387e8>, <kernel.DependentProduct object at 0x2af4a9838830>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a98389e0>, <kernel.DependentProduct object at 0x2af4a9838b00>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring plus_plus_real:(real->(real->real))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838950>, <kernel.DependentProduct object at 0x2af4a98387e8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__String__Oliteral
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring plus_plus_literal:(literal->(literal->literal))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838710>, <kernel.DependentProduct object at 0x2af4a9838638>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838830>, <kernel.DependentProduct object at 0x2af4a9838a28>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring sgn_sgn_complex:(complex->complex)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838b00>, <kernel.DependentProduct object at 0x2af4a9838cf8>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring sgn_sgn_int:(int->int)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a98387e8>, <kernel.DependentProduct object at 0x2af4a9838d40>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring sgn_sgn_rat:(rat->rat)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838638>, <kernel.DependentProduct object at 0x2af4a9838d88>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring sgn_sgn_real:(real->real)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a98387e8>, <kernel.DependentProduct object at 0x2af4a9838638>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838dd0>, <kernel.DependentProduct object at 0x2af4a9838d88>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring times_times_complex:(complex->(complex->complex))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a98387e8>, <kernel.DependentProduct object at 0x2af4a9838dd0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838ea8>, <kernel.DependentProduct object at 0x2af4a9838d88>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring times_times_int:(int->(int->int))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838a28>, <kernel.DependentProduct object at 0x2af4a98387e8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring times_times_nat:(nat->(nat->nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838f80>, <kernel.DependentProduct object at 0x2af4a9838ea8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring times_times_num:(num->(num->num))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838e60>, <kernel.DependentProduct object at 0x2af4a9838a28>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring times_times_rat:(rat->(rat->rat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838ea8>, <kernel.DependentProduct object at 0x2af4a98387e8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring times_times_real:(real->(real->real))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838e60>, <kernel.DependentProduct object at 0x2af4a9839050>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a98387e8>, <kernel.DependentProduct object at 0x2af4a9839170>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838e60>, <kernel.DependentProduct object at 0x2af4a9839200>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring uminus_uminus_int:(int->int)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x2af4a9838d88>, <kernel.DependentProduct object at 0x2af4a9839248>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring uminus_uminus_rat:(rat->rat)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9838e60>, <kernel.DependentProduct object at 0x2af4a9839290>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring uminus_uminus_real:(real->real)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839248>, <kernel.DependentProduct object at 0x2af4a98392d8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839170>, <kernel.Constant object at 0x2af4a98392d8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring zero_z3403309356797280102nteger:code_integer
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a98390e0>, <kernel.Constant object at 0x2af4a98392d8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring zero_zero_complex:complex
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839170>, <kernel.Constant object at 0x2af4a9839290>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839368>, <kernel.Constant object at 0x2af4a9839290>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring zero_zero_int:int
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a98393f8>, <kernel.Constant object at 0x2af4a9839290>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring zero_zero_nat:nat
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839440>, <kernel.Constant object at 0x2af4a9839290>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring zero_zero_rat:rat
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839488>, <kernel.Constant object at 0x2af4a9839290>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring zero_zero_real:real
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a98394d0>, <kernel.Constant object at 0x2af4a9839290>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__String__Oliteral
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring zero_zero_literal:literal
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839488>, <kernel.DependentProduct object at 0x2af4a9839518>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839290>, <kernel.DependentProduct object at 0x2af4a98394d0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839518>, <kernel.DependentProduct object at 0x2af4a9839488>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a98394d0>, <kernel.DependentProduct object at 0x2af4a9839290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring groups5058264527183730370ex_rat:((complex->rat)->(set_complex->rat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839488>, <kernel.DependentProduct object at 0x2af4a9839518>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839290>, <kernel.DependentProduct object at 0x2af4a98394d0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Extended____Nat__Oenat_001t__Complex__Ocomplex
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring groups6818542070133387226omplex:((extended_enat->complex)->(set_Extended_enat->complex))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839518>, <kernel.DependentProduct object at 0x2af4a9839488>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Extended____Nat__Oenat_001t__Nat__Onat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring groups2027974829824023292at_nat:((extended_enat->nat)->(set_Extended_enat->nat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a98394d0>, <kernel.DependentProduct object at 0x2af4a9839290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Extended____Nat__Oenat_001t__Rat__Orat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring groups1392844769737527556at_rat:((extended_enat->rat)->(set_Extended_enat->rat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839488>, <kernel.DependentProduct object at 0x2af4a9839518>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Extended____Nat__Oenat_001t__Real__Oreal
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring groups4148127829035722712t_real:((extended_enat->real)->(set_Extended_enat->real))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839290>, <kernel.DependentProduct object at 0x2af4a98394d0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring groups7873554091576472773nteger:((int->code_integer)->(set_int->code_integer))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839518>, <kernel.DependentProduct object at 0x2af4a9839488>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Complex__Ocomplex
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring groups3049146728041665814omplex:((int->complex)->(set_int->complex))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a98394d0>, <kernel.DependentProduct object at 0x2af4a9839290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839488>, <kernel.DependentProduct object at 0x2af4a9839518>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839290>, <kernel.DependentProduct object at 0x2af4a98394d0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Rat__Orat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring groups3906332499630173760nt_rat:((int->rat)->(set_int->rat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839518>, <kernel.DependentProduct object at 0x2af4a9839488>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a98394d0>, <kernel.DependentProduct object at 0x2af4a9839290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring groups7501900531339628137nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839488>, <kernel.DependentProduct object at 0x2af4a9839518>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839290>, <kernel.DependentProduct object at 0x2af4a98394d0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Extended____Nat__Oenat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring groups7108830773950497114d_enat:((nat->extended_enat)->(set_nat->extended_enat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x2af4a9839518>, <kernel.DependentProduct object at 0x2af4a9839488>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a98394d0>, <kernel.DependentProduct object at 0x2af4a9839518>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a98394d0>, <kernel.DependentProduct object at 0x2af4a983b050>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Rat__Orat
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups2906978787729119204at_rat:((nat->rat)->(set_nat->rat))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a98394d0>, <kernel.DependentProduct object at 0x2af4a983b170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a9839320>, <kernel.DependentProduct object at 0x2af4a983b1b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Option__Ooption_It__Nat__Onat_J_001t__Nat__Onat
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups1921984841883549356at_nat:((option_nat->nat)->(set_option_nat->nat))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b248>, <kernel.DependentProduct object at 0x2af4a983b290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Option__Ooption_It__Nat__Onat_J_001t__Real__Oreal
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups4518532050878116744t_real:((option_nat->real)->(set_option_nat->real))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b320>, <kernel.DependentProduct object at 0x2af4a983b0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups977919841031483927at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->nat))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b2d8>, <kernel.DependentProduct object at 0x2af4a983b290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Real__Oreal
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups4567486121110086003t_real:((product_prod_nat_nat->real)->(set_Pr1261947904930325089at_nat->real))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b200>, <kernel.DependentProduct object at 0x2af4a983b248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups7713935264441627589nteger:((real->code_integer)->(set_real->code_integer))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b2d8>, <kernel.DependentProduct object at 0x2af4a983b320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Int__Oint
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups1932886352136224148al_int:((real->int)->(set_real->int))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b248>, <kernel.DependentProduct object at 0x2af4a983b200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b320>, <kernel.DependentProduct object at 0x2af4a983b2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Rat__Orat
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups1300246762558778688al_rat:((real->rat)->(set_real->rat))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b200>, <kernel.DependentProduct object at 0x2af4a983b248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b2d8>, <kernel.DependentProduct object at 0x2af4a983b320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J_001t__Nat__Onat
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups207172935752626313at_nat:((set_nat_rat->nat)->(set_set_nat_rat->nat))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b248>, <kernel.DependentProduct object at 0x2af4a983b200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J_001t__Real__Oreal
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups4357547368389691109t_real:((set_nat_rat->real)->(set_set_nat_rat->real))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b320>, <kernel.DependentProduct object at 0x2af4a983b2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Complex__Ocomplex
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups1794756597179926696omplex:((vEBT_VEBT->complex)->(set_VEBT_VEBT->complex))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b200>, <kernel.DependentProduct object at 0x2af4a983b248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups769130701875090982BT_int:((vEBT_VEBT->int)->(set_VEBT_VEBT->int))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b2d8>, <kernel.DependentProduct object at 0x2af4a983b320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups771621172384141258BT_nat:((vEBT_VEBT->nat)->(set_VEBT_VEBT->nat))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b248>, <kernel.DependentProduct object at 0x2af4a983b200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Rat__Orat
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups136491112297645522BT_rat:((vEBT_VEBT->rat)->(set_VEBT_VEBT->rat))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b320>, <kernel.DependentProduct object at 0x2af4a983b2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups2240296850493347238T_real:((vEBT_VEBT->real)->(set_VEBT_VEBT->real))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b200>, <kernel.DependentProduct object at 0x2af4a983b248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups8682486955453173170nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b2d8>, <kernel.DependentProduct object at 0x2af4a983b320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups3708469109370488835omplex:((complex->complex)->(set_complex->complex))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b248>, <kernel.DependentProduct object at 0x2af4a983b200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Int__Oint
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups858564598930262913ex_int:((complex->int)->(set_complex->int))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b320>, <kernel.DependentProduct object at 0x2af4a983b2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups861055069439313189ex_nat:((complex->nat)->(set_complex->nat))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b200>, <kernel.DependentProduct object at 0x2af4a983b248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring groups225925009352817453ex_rat:((complex->rat)->(set_complex->rat))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x2af4a983b2d8>, <kernel.DependentProduct object at 0x2af4a983b320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups766887009212190081x_real:((complex->real)->(set_complex->real))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983b248>, <kernel.DependentProduct object at 0x2af4a983b200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Extended____Nat__Oenat_001t__Code____Numeral__Ointeger
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups845124408420398302nteger:((extended_enat->code_integer)->(set_Extended_enat->code_integer))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983b320>, <kernel.DependentProduct object at 0x2af4a983b2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Extended____Nat__Oenat_001t__Complex__Ocomplex
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups4622424608036095791omplex:((extended_enat->complex)->(set_Extended_enat->complex))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983b200>, <kernel.DependentProduct object at 0x2af4a983b248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Extended____Nat__Oenat_001t__Int__Oint
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups2878480467620962989at_int:((extended_enat->int)->(set_Extended_enat->int))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983b2d8>, <kernel.DependentProduct object at 0x2af4a983b200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Extended____Nat__Oenat_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups2880970938130013265at_nat:((extended_enat->nat)->(set_Extended_enat->nat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983b2d8>, <kernel.DependentProduct object at 0x2af4a983f050>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Extended____Nat__Oenat_001t__Rat__Orat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups2245840878043517529at_rat:((extended_enat->rat)->(set_Extended_enat->rat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983b2d8>, <kernel.DependentProduct object at 0x2af4a983f170>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Extended____Nat__Oenat_001t__Real__Oreal
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups97031904164794029t_real:((extended_enat->real)->(set_Extended_enat->real))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983bea8>, <kernel.DependentProduct object at 0x2af4a983f1b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups3827104343326376752nteger:((int->code_integer)->(set_int->code_integer))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983f248>, <kernel.DependentProduct object at 0x2af4a983f290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Complex__Ocomplex
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups7440179247065528705omplex:((int->complex)->(set_int->complex))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983f320>, <kernel.DependentProduct object at 0x2af4a983f200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983f2d8>, <kernel.DependentProduct object at 0x2af4a983f248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups1707563613775114915nt_nat:((int->nat)->(set_int->nat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983f3b0>, <kernel.DependentProduct object at 0x2af4a983f440>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Rat__Orat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups1072433553688619179nt_rat:((int->rat)->(set_int->rat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983f2d8>, <kernel.DependentProduct object at 0x2af4a983f320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Real__Oreal
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups2316167850115554303t_real:((int->real)->(set_int->real))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983f440>, <kernel.DependentProduct object at 0x2af4a983f3b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups3455450783089532116nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983f320>, <kernel.DependentProduct object at 0x2af4a983f2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups6464643781859351333omplex:((nat->complex)->(set_nat->complex))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983f3b0>, <kernel.DependentProduct object at 0x2af4a983f440>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Extended____Nat__Oenat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups7961826882256487087d_enat:((nat->extended_enat)->(set_nat->extended_enat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983f2d8>, <kernel.DependentProduct object at 0x2af4a983f320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983f440>, <kernel.DependentProduct object at 0x2af4a983f3b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983f320>, <kernel.DependentProduct object at 0x2af4a983f2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Rat__Orat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups73079841787564623at_rat:((nat->rat)->(set_nat->rat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983f3b0>, <kernel.DependentProduct object at 0x2af4a983f440>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Real__Oreal
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups129246275422532515t_real:((nat->real)->(set_nat->real))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983f2d8>, <kernel.DependentProduct object at 0x2af4a983f320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Option__Ooption_It__Nat__Onat_J_001t__Real__Oreal
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups6579596140936342515t_real:((option_nat->real)->(set_option_nat->real))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983f440>, <kernel.DependentProduct object at 0x2af4a983f248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups4075276357253098568at_int:((product_prod_nat_nat->int)->(set_Pr1261947904930325089at_nat->int))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983f320>, <kernel.DependentProduct object at 0x2af4a983f0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups4077766827762148844at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->nat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983f248>, <kernel.DependentProduct object at 0x2af4a983f3b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups713298508707869441omplex:((real->complex)->(set_real->complex))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983f0e0>, <kernel.DependentProduct object at 0x2af4a983f320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Int__Oint
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups4694064378042380927al_int:((real->int)->(set_real->int))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983f3b0>, <kernel.DependentProduct object at 0x2af4a983f248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups4696554848551431203al_nat:((real->nat)->(set_real->nat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2af4a983f320>, <kernel.DependentProduct object at 0x2af4a983f0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Rat__Orat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups4061424788464935467al_rat:((real->rat)->(set_real->rat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a983f248>, <kernel.DependentProduct object at 0x2af4a983f3b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups1681761925125756287l_real:((real->real)->(set_real->real))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a983f0e0>, <kernel.DependentProduct object at 0x2af4a983f320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups2125999189389939536t_real:((set_nat_rat->real)->(set_set_nat_rat->real))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a983f3b0>, <kernel.DependentProduct object at 0x2af4a983f248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__VEBT____Definitions__OVEBT_001t__Complex__Ocomplex
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups127312072573709053omplex:((vEBT_VEBT->complex)->(set_VEBT_VEBT->complex))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a983f320>, <kernel.DependentProduct object at 0x2af4a983f0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__VEBT____Definitions__OVEBT_001t__Rat__Orat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups5726676334696518183BT_rat:((vEBT_VEBT->rat)->(set_VEBT_VEBT->rat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a983f248>, <kernel.DependentProduct object at 0x2af4a983f3b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups2703838992350267259T_real:((vEBT_VEBT->real)->(set_VEBT_VEBT->real))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a983f0e0>, <kernel.DependentProduct object at 0x2af4a9841050>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Int__Oint
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups9116527308978886569_o_int:((Prop->int)->(int->(list_o->int)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a983f0e0>, <kernel.DependentProduct object at 0x2af4a9841248>) of role type named sy_c_Groups__List_Omonoid__add__class_Osum__list_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups4561878855575611511st_nat:(list_nat->nat)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a983fb00>, <kernel.DependentProduct object at 0x2af4a9841290>) of role type named sy_c_HOL_OThe_001t__Int__Oint
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring the_int:((int->Prop)->int)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a9841248>, <kernel.DependentProduct object at 0x2af4a98411b8>) of role type named sy_c_HOL_OThe_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring the_Pr4378521158711661632nt_int:((product_prod_int_int->Prop)->product_prod_int_int)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a983f3b0>, <kernel.DependentProduct object at 0x2af4a9841368>) of role type named sy_c_HOL_OThe_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring the_real:((real->Prop)->real)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a983f3b0>, <kernel.DependentProduct object at 0x2af4a98413b0>) of role type named sy_c_If_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_int_int:(Prop->((int->int)->((int->int)->(int->int))))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a9841128>, <kernel.DependentProduct object at 0x2af4a9841200>) of role type named sy_c_If_001_062_It__Nat__Onat_M_062_It__Int__Oint_Mt__Int__Oint_J_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_nat_int_int:(Prop->((nat->(int->int))->((nat->(int->int))->(nat->(int->int)))))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a98412d8>, <kernel.DependentProduct object at 0x2af4a9841050>) of role type named sy_c_If_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_nat_nat_nat:(Prop->((nat->(nat->nat))->((nat->(nat->nat))->(nat->(nat->nat)))))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a98410e0>, <kernel.DependentProduct object at 0x2af4a9841200>) of role type named sy_c_If_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_nat_rat:(Prop->((nat->rat)->((nat->rat)->(nat->rat))))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a9841488>, <kernel.DependentProduct object at 0x2af4a9841200>) of role type named sy_c_If_001t__Code____Numeral__Ointeger
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_Code_integer:(Prop->(code_integer->(code_integer->code_integer)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a98411b8>, <kernel.DependentProduct object at 0x2af4a9841368>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a9841098>, <kernel.DependentProduct object at 0x2af4a98411b8>) of role type named sy_c_If_001t__Extended____Nat__Oenat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_Extended_enat:(Prop->(extended_enat->(extended_enat->extended_enat)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a98415f0>, <kernel.DependentProduct object at 0x2af4a98411b8>) of role type named sy_c_If_001t__Int__Oint
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_int:(Prop->(int->(int->int)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a9841518>, <kernel.DependentProduct object at 0x2af4a98411b8>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a9841638>, <kernel.DependentProduct object at 0x2af4a98411b8>) of role type named sy_c_If_001t__List__Olist_It__Nat__Onat_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_list_nat:(Prop->(list_nat->(list_nat->list_nat)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a9841680>, <kernel.DependentProduct object at 0x2af4a98411b8>) of role type named sy_c_If_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a98416c8>, <kernel.DependentProduct object at 0x2af4a98411b8>) of role type named sy_c_If_001t__Num__Onum
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_num:(Prop->(num->(num->num)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a9841710>, <kernel.DependentProduct object at 0x2af4a98411b8>) of role type named sy_c_If_001t__Option__Ooption_It__Nat__Onat_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_option_nat:(Prop->(option_nat->(option_nat->option_nat)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a9841758>, <kernel.DependentProduct object at 0x2af4a98411b8>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a9841710>, <kernel.DependentProduct object at 0x2af4a9841128>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_Pro5737122678794959658eger_o:(Prop->(produc6271795597528267376eger_o->(produc6271795597528267376eger_o->produc6271795597528267376eger_o)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a98411b8>, <kernel.DependentProduct object at 0x2af4a9841488>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a9841128>, <kernel.DependentProduct object at 0x2af4a9841200>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a9841488>, <kernel.DependentProduct object at 0x2af4a9841758>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2af4a9841908>, <kernel.DependentProduct object at 0x2af4a9841758>) of role type named sy_c_If_001t__Rat__Orat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841998>, <kernel.DependentProduct object at 0x2af4a9841758>) of role type named sy_c_If_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring if_real:(Prop->(real->(real->real)))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841a70>, <kernel.DependentProduct object at 0x2af4a9841758>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841ab8>, <kernel.DependentProduct object at 0x2af4a9841758>) of role type named sy_c_If_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring if_set_nat:(Prop->(set_nat->(set_nat->set_nat)))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841b00>, <kernel.DependentProduct object at 0x2af4a9841758>) of role type named sy_c_If_001t__Sum____Type__Osum_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring if_Sum_sum_nat_nat:(Prop->(sum_sum_nat_nat->(sum_sum_nat_nat->sum_sum_nat_nat)))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841b48>, <kernel.DependentProduct object at 0x2af4a9841758>) of role type named sy_c_If_001t__VEBT____Definitions__OVEBT
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring if_VEBT_VEBT:(Prop->(vEBT_VEBT->(vEBT_VEBT->vEBT_VEBT)))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841b00>, <kernel.DependentProduct object at 0x2af4a9841b48>) of role type named sy_c_Infinite__Set_Owellorder__class_Oenumerate_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring infini8530281810654367211te_nat:(set_nat->(nat->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841bd8>, <kernel.DependentProduct object at 0x2af4a9841b90>) of role type named sy_c_Int_OAbs__Integ
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring abs_Integ:(product_prod_nat_nat->int)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841a28>, <kernel.DependentProduct object at 0x2af4a9841c20>) of role type named sy_c_Int_ORep__Integ
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring rep_Integ:(int->product_prod_nat_nat)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841050>, <kernel.DependentProduct object at 0x2af4a9841a28>) of role type named sy_c_Int_Oint__ge__less__than
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring int_ge_less_than:(int->set_Pr958786334691620121nt_int)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841ab8>, <kernel.DependentProduct object at 0x2af4a9841c20>) of role type named sy_c_Int_Oint__ge__less__than2
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring int_ge_less_than2:(int->set_Pr958786334691620121nt_int)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841758>, <kernel.DependentProduct object at 0x2af4a9841bd8>) of role type named sy_c_Int_Ointrel
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring intrel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841a28>, <kernel.DependentProduct object at 0x2af4a9841cb0>) of role type named sy_c_Int_Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring nat2:(int->nat)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841b48>, <kernel.DependentProduct object at 0x2af4a9841758>) of role type named sy_c_Int_Opcr__int
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring pcr_int:(product_prod_nat_nat->(int->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841d40>, <kernel.DependentProduct object at 0x2af4a9841a28>) of role type named sy_c_Int_Opower__int_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring power_int_real:(real->(int->real))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841d88>, <kernel.Constant object at 0x2af4a9841a28>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ring_1_Ints_real:set_real
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841d40>, <kernel.DependentProduct object at 0x2af4a9841bd8>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841a28>, <kernel.DependentProduct object at 0x2af4a9841ef0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841758>, <kernel.DependentProduct object at 0x2af4a9841f80>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ring_1_of_int_int:(int->int)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841e18>, <kernel.DependentProduct object at 0x2af4a9841fc8>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Rat__Orat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ring_1_of_int_rat:(int->rat)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841ea8>, <kernel.DependentProduct object at 0x1200050>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ring_1_of_int_real:(int->real)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841ef0>, <kernel.DependentProduct object at 0x2af4a9841758>) of role type named sy_c_Lattices_Oinf__class_Oinf_001_062_I_062_It__Nat__Onat_Mt__Rat__Orat_J_M_Eo_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring inf_inf_nat_rat_o:(((nat->rat)->Prop)->(((nat->rat)->Prop)->((nat->rat)->Prop)))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841ea8>, <kernel.DependentProduct object at 0x2af4a9841f80>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Extended____Nat__Oenat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring inf_in1870772243966228564d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841a28>, <kernel.DependentProduct object at 0x12001b8>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring inf_inf_nat:(nat->(nat->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841a28>, <kernel.DependentProduct object at 0x12001b8>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring inf_in2572325071724192079at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841e18>, <kernel.DependentProduct object at 0x12000e0>) of role type named sy_c_Lattices_Osemilattice__neutr_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring semila9081495762789891438tr_nat:((nat->(nat->nat))->(nat->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1200248>, <kernel.DependentProduct object at 0x1200170>) of role type named sy_c_Lattices_Osemilattice__neutr__order_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring semila1623282765462674594er_nat:((nat->(nat->nat))->(nat->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1200098>, <kernel.DependentProduct object at 0x12003f8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Extended____Nat__Oenat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring sup_su3973961784419623482d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2af4a9841a28>, <kernel.DependentProduct object at 0x12002d8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring sup_sup_nat:(nat->(nat->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1200248>, <kernel.DependentProduct object at 0x12003b0>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring sup_sup_set_nat:(set_nat->(set_nat->set_nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1200098>, <kernel.DependentProduct object at 0x1200368>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Extended____Nat__Oenat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring lattic921264341876707157d_enat:(set_Extended_enat->extended_enat)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x12003b0>, <kernel.DependentProduct object at 0x1200518>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1200368>, <kernel.DependentProduct object at 0x1200560>) of role type named sy_c_Lifting_OQuotient_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring quotie3684837364556693515t_real:(((nat->rat)->((nat->rat)->Prop))->(((nat->rat)->real)->((real->(nat->rat))->(((nat->rat)->(real->Prop))->Prop))))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x12001b8>, <kernel.DependentProduct object at 0x12000e0>) of role type named sy_c_Limits_OBfun_001t__Nat__Onat_001t__Real__Oreal
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring bfun_nat_real:((nat->real)->(filter_nat->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200170>, <kernel.DependentProduct object at 0x12001b8>) of role type named sy_c_List_Oappend_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring append_nat:(list_nat->(list_nat->list_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200560>, <kernel.DependentProduct object at 0x12000e0>) of role type named sy_c_List_Odrop_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring drop_nat:(nat->(list_nat->list_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200758>, <kernel.DependentProduct object at 0x12005f0>) of role type named sy_c_List_Olast_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring last_nat:(list_nat->nat)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200368>, <kernel.DependentProduct object at 0x1200170>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x12005a8>, <kernel.DependentProduct object at 0x1200758>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring cons_int:(int->(list_int->list_int))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x12007e8>, <kernel.DependentProduct object at 0x1200368>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200830>, <kernel.Constant object at 0x1200368>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nil_int:list_int
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200758>, <kernel.Constant object at 0x1200368>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nil_nat:list_nat
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200098>, <kernel.DependentProduct object at 0x1200950>) of role type named sy_c_List_Olist_Ohd_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring hd_nat:(list_nat->nat)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x12008c0>, <kernel.DependentProduct object at 0x1200950>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring map_nat_nat:((nat->nat)->(list_nat->list_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200368>, <kernel.DependentProduct object at 0x1200830>) of role type named sy_c_List_Olist_Omap_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring map_VE8901447254227204932T_VEBT:((vEBT_VEBT->vEBT_VEBT)->(list_VEBT_VEBT->list_VEBT_VEBT))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x12008c0>, <kernel.DependentProduct object at 0x1200098>) of role type named sy_c_List_Olist_Oset_001_Eo
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring set_o2:(list_o->set_o)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200758>, <kernel.DependentProduct object at 0x1200a70>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring set_complex2:(list_complex->set_complex)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x12001b8>, <kernel.DependentProduct object at 0x1200ab8>) of role type named sy_c_List_Olist_Oset_001t__Extended____Nat__Oenat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring set_Extended_enat2:(list_Extended_enat->set_Extended_enat)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200830>, <kernel.DependentProduct object at 0x1200b00>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring set_int2:(list_int->set_int)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200098>, <kernel.DependentProduct object at 0x1200b48>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring set_nat2:(list_nat->set_nat)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200a70>, <kernel.DependentProduct object at 0x1200b90>) of role type named sy_c_List_Olist_Oset_001t__Option__Ooption_It__Nat__Onat_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring set_option_nat2:(list_option_nat->set_option_nat)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200ab8>, <kernel.DependentProduct object at 0x1200bd8>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring set_real2:(list_real->set_real)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200b00>, <kernel.DependentProduct object at 0x1200c20>) of role type named sy_c_List_Olist_Oset_001t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring set_set_nat_rat2:(list_set_nat_rat->set_set_nat_rat)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200b48>, <kernel.DependentProduct object at 0x1200c68>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200b90>, <kernel.DependentProduct object at 0x1200bd8>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200560>, <kernel.DependentProduct object at 0x1200b90>) of role type named sy_c_List_Olist__update_001_Eo
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring list_update_o:(list_o->(nat->(Prop->list_o)))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200a70>, <kernel.DependentProduct object at 0x1200b48>) of role type named sy_c_List_Olist__update_001t__Int__Oint
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring list_update_int:(list_int->(nat->(int->list_int)))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200d40>, <kernel.DependentProduct object at 0x1200bd8>) of role type named sy_c_List_Olist__update_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring list_update_nat:(list_nat->(nat->(nat->list_nat)))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200a70>, <kernel.DependentProduct object at 0x1200d40>) of role type named sy_c_List_Olist__update_001t__Option__Ooption_It__Nat__Onat_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring list_u3411377215356412978on_nat:(list_option_nat->(nat->(option_nat->list_option_nat)))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200ea8>, <kernel.DependentProduct object at 0x1200bd8>) of role type named sy_c_List_Olist__update_001t__Real__Oreal
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring list_update_real:(list_real->(nat->(real->list_real)))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200a70>, <kernel.DependentProduct object at 0x1200ea8>) of role type named sy_c_List_Olist__update_001t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring list_u886106648575569423at_rat:(list_set_nat_rat->(nat->(set_nat_rat->list_set_nat_rat)))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200bd8>, <kernel.DependentProduct object at 0x1200a70>) of role type named sy_c_List_Olist__update_001t__VEBT____Definitions__OVEBT
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring list_u1324408373059187874T_VEBT:(list_VEBT_VEBT->(nat->(vEBT_VEBT->list_VEBT_VEBT)))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200e60>, <kernel.DependentProduct object at 0x1200ea8>) of role type named sy_c_List_Onth_001_Eo
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nth_o:(list_o->(nat->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200b00>, <kernel.DependentProduct object at 0x1200a70>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nth_int:(list_int->(nat->int))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200f80>, <kernel.DependentProduct object at 0x1200c20>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nth_nat:(list_nat->(nat->nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200cb0>, <kernel.DependentProduct object at 0x1200e18>) of role type named sy_c_List_Onth_001t__Num__Onum
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nth_num:(list_num->(nat->num))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200b00>, <kernel.DependentProduct object at 0x1200c20>) of role type named sy_c_List_Onth_001t__Option__Ooption_It__Nat__Onat_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nth_option_nat:(list_option_nat->(nat->option_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1200f80>, <kernel.DependentProduct object at 0x1200e18>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring nth_Product_prod_o_o:(list_P4002435161011370285od_o_o->(nat->product_prod_o_o))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x1200e18>, <kernel.DependentProduct object at 0x11e5200>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring nth_Pr5826913651314560976_o_nat:(list_P6285523579766656935_o_nat->(nat->product_prod_o_nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x1200b00>, <kernel.DependentProduct object at 0x11e5170>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring nth_Pr6777367263587873994T_VEBT:(list_P7495141550334521929T_VEBT->(nat->produc2504756804600209347T_VEBT))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e50e0>, <kernel.DependentProduct object at 0x11e52d8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring nth_Pr4439495888332055232nt_int:(list_P5707943133018811711nt_int->(nat->product_prod_int_int))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e51b8>, <kernel.DependentProduct object at 0x11e5320>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring nth_Pr8326237132889035090at_num:(list_P1726324292696863441at_num->(nat->product_prod_nat_num))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e5290>, <kernel.DependentProduct object at 0x11e53b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring nth_Pr744662078594809490T_VEBT:(list_P5647936690300460905T_VEBT->(nat->produc8025551001238799321T_VEBT))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e5200>, <kernel.DependentProduct object at 0x11e5290>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring nth_Pr6456567536196504476um_num:(list_P3744719386663036955um_num->(nat->product_prod_num_num))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e53b0>, <kernel.DependentProduct object at 0x11e5200>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e5290>, <kernel.DependentProduct object at 0x11e53b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring nth_Pr1791586995822124652BT_nat:(list_P7037539587688870467BT_nat->(nat->produc9072475918466114483BT_nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e5200>, <kernel.DependentProduct object at 0x11e5290>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e50e0>, <kernel.DependentProduct object at 0x11e5200>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring nth_real:(list_real->(nat->real))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e5710>, <kernel.DependentProduct object at 0x11e53b0>) of role type named sy_c_List_Onth_001t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring nth_set_nat_rat:(list_set_nat_rat->(nat->set_nat_rat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e57a0>, <kernel.DependentProduct object at 0x11e5290>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e5680>, <kernel.DependentProduct object at 0x11e57a0>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e5830>, <kernel.DependentProduct object at 0x11e5710>) of role type named sy_c_List_Oproduct_001_Eo_001t__Nat__Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring product_o_nat:(list_o->(list_nat->list_P6285523579766656935_o_nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e5878>, <kernel.DependentProduct object at 0x11e5290>) of role type named sy_c_List_Oproduct_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring product_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e53b0>, <kernel.DependentProduct object at 0x11e5830>) of role type named sy_c_List_Oproduct_001t__Int__Oint_001t__Int__Oint
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring product_int_int:(list_int->(list_int->list_P5707943133018811711nt_int))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e5518>, <kernel.DependentProduct object at 0x11e5878>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001_Eo
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring product_nat_o:(list_nat->(list_o->list_P7333126701944960589_nat_o))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e58c0>, <kernel.DependentProduct object at 0x11e53b0>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring product_nat_nat:(list_nat->(list_nat->list_P6011104703257516679at_nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e5908>, <kernel.DependentProduct object at 0x11e5518>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__Num__Onum
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring product_nat_num:(list_nat->(list_num->list_P1726324292696863441at_num))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e58c0>, <kernel.DependentProduct object at 0x11e5908>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc7156399406898700509T_VEBT:(list_nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e5998>, <kernel.DependentProduct object at 0x11e5518>) of role type named sy_c_List_Oproduct_001t__Num__Onum_001t__Num__Onum
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring product_num_num:(list_num->(list_num->list_P3744719386663036955um_num))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e5a70>, <kernel.DependentProduct object at 0x11e58c0>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e5998>, <kernel.DependentProduct object at 0x11e5a70>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc7295137177222721919BT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e58c0>, <kernel.DependentProduct object at 0x11e5998>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e5b90>, <kernel.DependentProduct object at 0x11e5b00>) of role type named sy_c_List_Oreplicate_001_Eo
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring replicate_o:(nat->(Prop->list_o))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e5bd8>, <kernel.DependentProduct object at 0x11e58c0>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring replicate_int:(nat->(int->list_int))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e5a70>, <kernel.DependentProduct object at 0x11e5b90>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e5c68>, <kernel.DependentProduct object at 0x11e5bd8>) of role type named sy_c_List_Oreplicate_001t__Option__Ooption_It__Nat__Onat_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring replicate_option_nat:(nat->(option_nat->list_option_nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11e59e0>, <kernel.DependentProduct object at 0x11e5a70>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring replicate_real:(nat->(real->list_real))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e5c68>, <kernel.DependentProduct object at 0x11e59e0>) of role type named sy_c_List_Oreplicate_001t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring replic5516892415368941373at_rat:(nat->(set_nat_rat->list_set_nat_rat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e5b00>, <kernel.DependentProduct object at 0x11e5a70>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e5998>, <kernel.DependentProduct object at 0x11e5dd0>) of role type named sy_c_List_Osorted__wrt_001t__Int__Oint
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring sorted_wrt_int:((int->(int->Prop))->(list_int->Prop))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e5a70>, <kernel.DependentProduct object at 0x11e5e60>) of role type named sy_c_List_Osorted__wrt_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring sorted_wrt_nat:((nat->(nat->Prop))->(list_nat->Prop))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e5758>, <kernel.DependentProduct object at 0x11e5a70>) of role type named sy_c_List_Otake_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring take_nat:(nat->(list_nat->list_nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e5ef0>, <kernel.DependentProduct object at 0x11e5998>) of role type named sy_c_List_Otake_001t__VEBT____Definitions__OVEBT
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring take_VEBT_VEBT:(nat->(list_VEBT_VEBT->list_VEBT_VEBT))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e5f80>, <kernel.DependentProduct object at 0x11e5e60>) of role type named sy_c_List_Oupt
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring upt:(nat->(nat->list_nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e5f38>, <kernel.DependentProduct object at 0x11e5ef0>) of role type named sy_c_List_Oupto
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring upto:(int->(int->list_int))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e5a70>, <kernel.DependentProduct object at 0x11e5f80>) of role type named sy_c_List_Oupto__aux
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e5998>, <kernel.DependentProduct object at 0x11e9098>) of role type named sy_c_Nat_OSuc
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring suc:(nat->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e5e60>, <kernel.DependentProduct object at 0x11e90e0>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e5dd0>, <kernel.DependentProduct object at 0x11e91b8>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e5e60>, <kernel.DependentProduct object at 0x11e9098>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e5f80>, <kernel.DependentProduct object at 0x11e9200>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Option__Ooption_It__Num__Onum_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring case_nat_option_num:(option_num->((nat->option_num)->(nat->option_num)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e5bd8>, <kernel.DependentProduct object at 0x11e9128>) of role type named sy_c_Nat_Onat_Opred
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring pred:(nat->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e5f80>, <kernel.DependentProduct object at 0x11e9290>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e91b8>, <kernel.DependentProduct object at 0x11e9050>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9098>, <kernel.DependentProduct object at 0x11e9320>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Extended____Nat__Oenat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring semiri4216267220026989637d_enat:(nat->extended_enat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9128>, <kernel.DependentProduct object at 0x11e93b0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9200>, <kernel.DependentProduct object at 0x11e9440>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9128>, <kernel.DependentProduct object at 0x11e94d0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9440>, <kernel.DependentProduct object at 0x11e9560>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e94d0>, <kernel.DependentProduct object at 0x11e91b8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Complex__Ocomplex
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring semiri2816024913162550771omplex:((complex->complex)->(nat->(complex->complex)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9560>, <kernel.DependentProduct object at 0x11e9638>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Extended____Nat__Oenat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring semiri8563196900006977889d_enat:((extended_enat->extended_enat)->(nat->(extended_enat->extended_enat)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e91b8>, <kernel.DependentProduct object at 0x11e96c8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Int__Oint
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring semiri8420488043553186161ux_int:((int->int)->(nat->(int->int)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9638>, <kernel.DependentProduct object at 0x11e9758>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring semiri8422978514062236437ux_nat:((nat->nat)->(nat->(nat->nat)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e96c8>, <kernel.DependentProduct object at 0x11e97e8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Rat__Orat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring semiri7787848453975740701ux_rat:((rat->rat)->(nat->(rat->rat)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9758>, <kernel.DependentProduct object at 0x11e9878>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Real__Oreal
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring semiri7260567687927622513x_real:((real->real)->(nat->(real->real)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9908>, <kernel.DependentProduct object at 0x11e99e0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_size_list_o:(list_o->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9758>, <kernel.DependentProduct object at 0x11e9998>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e99e0>, <kernel.DependentProduct object at 0x11e9a28>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Extended____Nat__Oenat_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_s3941691890525107288d_enat:(list_Extended_enat->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9128>, <kernel.DependentProduct object at 0x11e9ab8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_size_list_int:(list_int->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e97e8>, <kernel.DependentProduct object at 0x11e9b00>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_size_list_nat:(list_nat->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9680>, <kernel.DependentProduct object at 0x11e9b48>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Num__Onum_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_size_list_num:(list_num->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e97e8>, <kernel.DependentProduct object at 0x11e9b90>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Option__Ooption_It__Nat__Onat_J_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_s6086282163384603972on_nat:(list_option_nat->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9b48>, <kernel.DependentProduct object at 0x11e9c20>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_s1515746228057227161od_o_o:(list_P4002435161011370285od_o_o->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9b90>, <kernel.DependentProduct object at 0x11e9cb0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_s5443766701097040955_o_nat:(list_P6285523579766656935_o_nat->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9c20>, <kernel.DependentProduct object at 0x11e9d40>) 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
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_s4313452262239582901T_VEBT:(list_P7495141550334521929T_VEBT->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9cb0>, <kernel.DependentProduct object at 0x11e9dd0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_s6491369823275344609_nat_o:(list_P7333126701944960589_nat_o->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9d40>, <kernel.DependentProduct object at 0x11e9e60>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_s5460976970255530739at_nat:(list_P6011104703257516679at_nat->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9dd0>, <kernel.DependentProduct object at 0x11e9ef0>) 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
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_s4762443039079500285T_VEBT:(list_P5647936690300460905T_VEBT->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9e60>, <kernel.DependentProduct object at 0x11e9f80>) 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
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_s9168528473962070013VEBT_o:(list_P3126845725202233233VEBT_o->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9ef0>, <kernel.DependentProduct object at 0x11ec050>) 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
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_s6152045936467909847BT_nat:(list_P7037539587688870467BT_nat->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9f80>, <kernel.DependentProduct object at 0x11ec0e0>) 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
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_s7466405169056248089T_VEBT:(list_P7413028617227757229T_VEBT->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9e60>, <kernel.DependentProduct object at 0x11ec170>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_size_list_real:(list_real->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9e60>, <kernel.DependentProduct object at 0x11ec1b8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_s3959913991096427681at_rat:(list_set_nat_rat->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11e9fc8>, <kernel.DependentProduct object at 0x11ec248>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11e9e60>, <kernel.DependentProduct object at 0x11ec2d8>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring size_size_num:(num->nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11e9f80>, <kernel.DependentProduct object at 0x11ec320>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Nat__Onat_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring size_size_option_nat:(option_nat->nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11e9f80>, <kernel.DependentProduct object at 0x11ec368>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring size_size_option_num:(option_num->nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec1b8>, <kernel.DependentProduct object at 0x11ec3b0>) 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
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec320>, <kernel.DependentProduct object at 0x11ec440>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec248>, <kernel.DependentProduct object at 0x11ec1b8>) of role type named sy_c_Nat__Bijection_Olist__decode__rel
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nat_list_decode_rel:(nat->(nat->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec290>, <kernel.DependentProduct object at 0x11ec518>) of role type named sy_c_Nat__Bijection_Olist__encode
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nat_list_encode:(list_nat->nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec440>, <kernel.DependentProduct object at 0x11ec320>) of role type named sy_c_Nat__Bijection_Olist__encode__rel
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nat_list_encode_rel:(list_nat->(list_nat->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec3f8>, <kernel.DependentProduct object at 0x11ec5a8>) of role type named sy_c_Nat__Bijection_Oprod__decode
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nat_prod_decode:(nat->product_prod_nat_nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec290>, <kernel.DependentProduct object at 0x11ec1b8>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec320>, <kernel.DependentProduct object at 0x11ec290>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec3b0>, <kernel.DependentProduct object at 0x11ec6c8>) of role type named sy_c_Nat__Bijection_Oprod__encode
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nat_prod_encode:(product_prod_nat_nat->nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec200>, <kernel.DependentProduct object at 0x11ec710>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nat_set_decode:(nat->set_nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec440>, <kernel.DependentProduct object at 0x11ec758>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nat_set_encode:(set_nat->nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec5a8>, <kernel.DependentProduct object at 0x11ec7a0>) of role type named sy_c_Nat__Bijection_Osum__decode
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nat_sum_decode:(nat->sum_sum_nat_nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec3f8>, <kernel.DependentProduct object at 0x11ec7e8>) of role type named sy_c_Nat__Bijection_Osum__encode
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nat_sum_encode:(sum_sum_nat_nat->nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec6c8>, <kernel.DependentProduct object at 0x11ec830>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nat_triangle:(nat->nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec758>, <kernel.DependentProduct object at 0x11ec1b8>) of role type named sy_c_NthRoot_Oroot
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring root:(nat->(real->real))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec5a8>, <kernel.DependentProduct object at 0x11ec878>) of role type named sy_c_NthRoot_Osqrt
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring sqrt:(real->real)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec7a0>, <kernel.DependentProduct object at 0x11ec830>) of role type named sy_c_Num_OBitM
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring bitM:(num->num)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec6c8>, <kernel.DependentProduct object at 0x11ec908>) of role type named sy_c_Num_Oinc
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring inc:(num->num)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec7a0>, <kernel.DependentProduct object at 0x11ec950>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec908>, <kernel.DependentProduct object at 0x11ec9e0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec1b8>, <kernel.DependentProduct object at 0x11eca70>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring neg_numeral_dbl_int:(int->int)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec5a8>, <kernel.DependentProduct object at 0x11ecab8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec998>, <kernel.DependentProduct object at 0x11ecb00>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring neg_numeral_dbl_real:(real->real)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec5a8>, <kernel.DependentProduct object at 0x11ecb48>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ecb00>, <kernel.DependentProduct object at 0x11ecbd8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ecb48>, <kernel.DependentProduct object at 0x11ecc68>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ecbd8>, <kernel.DependentProduct object at 0x11eccf8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ecc68>, <kernel.DependentProduct object at 0x11ecd88>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11eccf8>, <kernel.DependentProduct object at 0x11ece18>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Code____Numeral__Ointeger
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring neg_nu5831290666863070958nteger:(code_integer->code_integer)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ecd88>, <kernel.DependentProduct object at 0x11ecea8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Complex__Ocomplex
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring neg_nu8557863876264182079omplex:(complex->complex)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ece18>, <kernel.DependentProduct object at 0x11ecf38>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring neg_nu5851722552734809277nc_int:(int->int)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ecea8>, <kernel.DependentProduct object at 0x11ecfc8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Rat__Orat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring neg_nu5219082963157363817nc_rat:(rat->rat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ecf38>, <kernel.DependentProduct object at 0x11ee098>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Real__Oreal
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring neg_nu8295874005876285629c_real:(real->real)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec9e0>, <kernel.DependentProduct object at 0x11ecea8>) of role type named sy_c_Num_Oneg__numeral__class_Osub_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring neg_numeral_sub_int:(num->(num->int))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ecfc8>, <kernel.DependentProduct object at 0x11ee0e0>) of role type named sy_c_Num_Onum_OBit0
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring bit0:(num->num)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec9e0>, <kernel.DependentProduct object at 0x11ee170>) of role type named sy_c_Num_Onum_OBit1
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring bit1:(num->num)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ecea8>, <kernel.Constant object at 0x11ee0e0>) of role type named sy_c_Num_Onum_OOne
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring one:num
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ec9e0>, <kernel.DependentProduct object at 0x11ee2d8>) of role type named sy_c_Num_Onum_Ocase__num_001t__Option__Ooption_It__Num__Onum_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring case_num_option_num:(option_num->((num->option_num)->((num->option_num)->(num->option_num))))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ecea8>, <kernel.DependentProduct object at 0x11ee248>) of role type named sy_c_Num_Onum_Osize__num
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring size_num:(num->nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ecea8>, <kernel.DependentProduct object at 0x11ee098>) of role type named sy_c_Num_Onum__of__nat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring num_of_nat:(nat->num)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ee050>, <kernel.DependentProduct object at 0x11ee1b8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ee098>, <kernel.DependentProduct object at 0x11ee3b0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring numera6690914467698888265omplex:(num->complex)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ee1b8>, <kernel.DependentProduct object at 0x11ee440>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ee0e0>, <kernel.DependentProduct object at 0x11ee4d0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring numeral_numeral_int:(num->int)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ee3f8>, <kernel.DependentProduct object at 0x11ee518>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring numeral_numeral_nat:(num->nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ee170>, <kernel.DependentProduct object at 0x11ee560>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring numeral_numeral_rat:(num->rat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ee440>, <kernel.DependentProduct object at 0x11ee5a8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring numeral_numeral_real:(num->real)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ee4d0>, <kernel.DependentProduct object at 0x11ee170>) of role type named sy_c_Num_Opow
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring pow:(num->(num->num))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ee5f0>, <kernel.DependentProduct object at 0x11ee638>) of role type named sy_c_Num_Opred__numeral
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring pred_numeral:(num->nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11ee560>, <kernel.DependentProduct object at 0x11ee518>) of role type named sy_c_Num_Osqr
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring sqr:(num->num)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11ee5a8>, <kernel.Constant object at 0x11ee518>) of role type named sy_c_Option_Ooption_ONone_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring none_nat:option_nat
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11ee638>, <kernel.Constant object at 0x11ee518>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring none_num:option_num
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11ee5a8>, <kernel.Constant object at 0x11ee440>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11ee6c8>, <kernel.DependentProduct object at 0x11ee7e8>) of role type named sy_c_Option_Ooption_OSome_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring some_nat:(nat->option_nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11ee4d0>, <kernel.DependentProduct object at 0x11ee830>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring some_num:(num->option_num)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11ee6c8>, <kernel.DependentProduct object at 0x11ee4d0>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11ee830>, <kernel.DependentProduct object at 0x11ee908>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11ee950>, <kernel.DependentProduct object at 0x11eea28>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Int__Oint_001t__Num__Onum
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring case_option_int_num:(int->((num->int)->(option_num->int)))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11ee9e0>, <kernel.DependentProduct object at 0x11eea70>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11ee950>, <kernel.DependentProduct object at 0x11ee6c8>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eeb00>, <kernel.DependentProduct object at 0x11ee878>) of role type named sy_c_Option_Ooption_Omap__option_001t__Num__Onum_001t__Num__Onum
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring map_option_num_num:((num->num)->(option_num->option_num))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eea70>, <kernel.DependentProduct object at 0x11eeab8>) of role type named sy_c_Option_Ooption_Osize__option_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring size_option_nat:((nat->nat)->(option_nat->nat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11ee950>, <kernel.DependentProduct object at 0x11eeb48>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eea70>, <kernel.DependentProduct object at 0x11ee4d0>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eeb00>, <kernel.DependentProduct object at 0x11eeab8>) of role type named sy_c_Option_Ooption_Othe_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring the_nat:(option_nat->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11ee518>, <kernel.DependentProduct object at 0x11eec68>) of role type named sy_c_Option_Ooption_Othe_001t__Num__Onum
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring the_num:(option_num->num)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eeb00>, <kernel.DependentProduct object at 0x11eecb0>) of role type named sy_c_Option_Ooption_Othe_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring the_Pr8591224930841456533at_nat:(option4927543243414619207at_nat->product_prod_nat_nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eeab8>, <kernel.DependentProduct object at 0x11eec68>) of role type named sy_c_Order__Relation_OunderS_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring order_underS_nat:(set_Pr1261947904930325089at_nat->(nat->set_nat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eeb00>, <kernel.DependentProduct object at 0x11eecb0>) of role type named sy_c_Order__Relation_Owell__order__on_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring order_2888998067076097458on_nat:(set_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eedd0>, <kernel.DependentProduct object at 0x11eeab8>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_Eo_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring bot_bot_nat_o:(nat->Prop)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eeb00>, <kernel.Constant object at 0x11eed40>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Extended____Nat__Oenat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring bot_bo4199563552545308370d_enat:extended_enat
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eecb0>, <kernel.Constant object at 0x11eed40>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring bot_bot_nat:nat
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eee18>, <kernel.Constant object at 0x11eed40>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring bot_bot_set_complex:set_complex
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eecb0>, <kernel.Constant object at 0x11eec68>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring bot_bo7653980558646680370d_enat:set_Extended_enat
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eeea8>, <kernel.Constant object at 0x11eec68>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring bot_bot_set_int:set_int
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eef38>, <kernel.Constant object at 0x11eec68>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring bot_bot_set_nat:set_nat
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eef80>, <kernel.Constant object at 0x11eec68>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Num__Onum_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring bot_bot_set_num:set_num
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eef38>, <kernel.Constant object at 0x11eee60>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Option__Ooption_It__Nat__Onat_J_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring bot_bo5009843511495006442on_nat:set_option_nat
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eef80>, <kernel.Constant object at 0x11eefc8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Rat__Orat_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring bot_bot_set_rat:set_rat
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eec68>, <kernel.Constant object at 0x11f1098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring bot_bot_set_real:set_real
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eefc8>, <kernel.Constant object at 0x11f1098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring bot_bo6797373522285170759at_rat:set_set_nat_rat
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11eec68>, <kernel.Constant object at 0x11f1098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring bot_bot_set_set_nat:set_set_nat
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11f1200>, <kernel.Constant object at 0x11f10e0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring bot_bo8194388402131092736T_VEBT:set_VEBT_VEBT
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11f11b8>, <kernel.DependentProduct object at 0x11f13b0>) of role type named sy_c_Orderings_Oord__class_OLeast_001t__Extended____Nat__Oenat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_Le1955565732374568822d_enat:((extended_enat->Prop)->extended_enat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11f1200>, <kernel.DependentProduct object at 0x11f1440>) of role type named sy_c_Orderings_Oord__class_OLeast_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_Least_nat:((nat->Prop)->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11f13b0>, <kernel.DependentProduct object at 0x11f1488>) of role type named sy_c_Orderings_Oord__class_OLeast_001t__Real__Oreal
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_Least_real:((real->Prop)->real)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11f1368>, <kernel.DependentProduct object at 0x11f1518>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Int__Oint_M_Eo_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_less_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11f1488>, <kernel.DependentProduct object at 0x11f1560>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Nat__Onat_M_Eo_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_less_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11f1518>, <kernel.DependentProduct object at 0x11f15f0>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_less_nat_rat:((nat->rat)->((nat->rat)->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11f1488>, <kernel.DependentProduct object at 0x11f1248>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Option__Ooption_It__Nat__Onat_J_M_Eo_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_le1154456971122042459_nat_o:((option_nat->Prop)->((option_nat->Prop)->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11f14d0>, <kernel.DependentProduct object at 0x11f1680>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Real__Oreal_M_Eo_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_less_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11f1488>, <kernel.DependentProduct object at 0x11f16c8>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J_M_Eo_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_le6823063569548456766_rat_o:((set_nat_rat->Prop)->((set_nat_rat->Prop)->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11f1680>, <kernel.DependentProduct object at 0x11f1488>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11f16c8>, <kernel.DependentProduct object at 0x11f1680>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11f1758>, <kernel.DependentProduct object at 0x11f1488>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_less_int:(int->(int->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11f17e8>, <kernel.DependentProduct object at 0x11f16c8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11f1368>, <kernel.DependentProduct object at 0x11f1758>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_less_num:(num->(num->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11f15f0>, <kernel.DependentProduct object at 0x11f17e8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11f1680>, <kernel.DependentProduct object at 0x11f1368>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_real:(real->(real->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1488>, <kernel.DependentProduct object at 0x11f15f0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_set_nat_rat:(set_nat_rat->(set_nat_rat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1680>, <kernel.DependentProduct object at 0x11f1488>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_le1307284697595431911nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1758>, <kernel.DependentProduct object at 0x11f15f0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1680>, <kernel.DependentProduct object at 0x11f1758>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_le2529575680413868914d_enat:(set_Extended_enat->(set_Extended_enat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1368>, <kernel.DependentProduct object at 0x11f15f0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1b00>, <kernel.DependentProduct object at 0x11f1680>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1488>, <kernel.DependentProduct object at 0x11f1368>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1b00>, <kernel.DependentProduct object at 0x11f1488>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Option__Ooption_It__Nat__Onat_J_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_le1792839605950587050on_nat:(set_option_nat->(set_option_nat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1758>, <kernel.DependentProduct object at 0x11f1368>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1c68>, <kernel.DependentProduct object at 0x11f1b00>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1758>, <kernel.DependentProduct object at 0x11f1c68>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_le1311537459589289991at_rat:(set_set_nat_rat->(set_set_nat_rat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1a28>, <kernel.DependentProduct object at 0x11f1b00>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_set_set_nat:(set_set_nat->(set_set_nat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1758>, <kernel.DependentProduct object at 0x11f1a28>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_le3480810397992357184T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1368>, <kernel.DependentProduct object at 0x11f1f38>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_eq_nat_rat:((nat->rat)->((nat->rat)->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1758>, <kernel.DependentProduct object at 0x11f1368>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1f38>, <kernel.DependentProduct object at 0x11f1758>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1368>, <kernel.DependentProduct object at 0x11f1f38>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_le2510731241096832064er_nat:(filter_nat->(filter_nat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1fc8>, <kernel.DependentProduct object at 0x1203050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1f38>, <kernel.DependentProduct object at 0x1203128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1a28>, <kernel.DependentProduct object at 0x1203170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1fc8>, <kernel.DependentProduct object at 0x12031b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1f38>, <kernel.DependentProduct object at 0x1203200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x1203098>, <kernel.DependentProduct object at 0x1203248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_le2679597024174929757at_rat:(set_nat_rat->(set_nat_rat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11f1f38>, <kernel.DependentProduct object at 0x12031b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_Eo_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_eq_set_o:(set_o->(set_o->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x1203050>, <kernel.DependentProduct object at 0x1203320>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_le7084787975880047091nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x1203290>, <kernel.DependentProduct object at 0x1203050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x1203320>, <kernel.DependentProduct object at 0x1203290>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_le7203529160286727270d_enat:(set_Extended_enat->(set_Extended_enat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x12033f8>, <kernel.DependentProduct object at 0x1203050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x1203488>, <kernel.DependentProduct object at 0x1203320>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x1203128>, <kernel.DependentProduct object at 0x12033f8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Num__Onum_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_eq_set_num:(set_num->(set_num->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x1203488>, <kernel.DependentProduct object at 0x1203128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Option__Ooption_It__Nat__Onat_J_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_le6937355464348597430on_nat:(set_option_nat->(set_option_nat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x1203290>, <kernel.DependentProduct object at 0x12033f8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Rat__Orat_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_eq_set_rat:(set_rat->(set_rat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x12035f0>, <kernel.DependentProduct object at 0x1203488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x1203290>, <kernel.DependentProduct object at 0x12035f0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_le4375437777232675859at_rat:(set_set_nat_rat->(set_set_nat_rat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x1203488>, <kernel.DependentProduct object at 0x1203290>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_le6893508408891458716et_nat:(set_set_nat->(set_set_nat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x12035f0>, <kernel.DependentProduct object at 0x1203488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x12037a0>, <kernel.DependentProduct object at 0x1203290>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Code____Numeral__Ointeger
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_max_Code_integer:(code_integer->(code_integer->code_integer))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x12035f0>, <kernel.DependentProduct object at 0x12037a0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Extended____Nat__Oenat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_ma741700101516333627d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x12038c0>, <kernel.DependentProduct object at 0x1203290>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_max_int:(int->(int->int))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x1203878>, <kernel.DependentProduct object at 0x12035f0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_max_nat:(nat->(nat->nat))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x1203998>, <kernel.DependentProduct object at 0x12038c0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Num__Onum
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_max_num:(num->(num->num))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x12037e8>, <kernel.DependentProduct object at 0x1203878>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Rat__Orat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_max_rat:(rat->(rat->rat))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x1203830>, <kernel.DependentProduct object at 0x1203998>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Real__Oreal
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_max_real:(real->(real->real))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x12037a0>, <kernel.DependentProduct object at 0x12037e8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_max_set_nat:(set_nat->(set_nat->set_nat))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x1203830>, <kernel.DependentProduct object at 0x12037a0>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Extended____Nat__Oenat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring ord_mi8085742599997312461d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x12035f0>, <kernel.DependentProduct object at 0x12037e8>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_min_nat:(nat->(nat->nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1203290>, <kernel.DependentProduct object at 0x1203bd8>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring order_Greatest_nat:((nat->Prop)->nat)
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x12035f0>, <kernel.DependentProduct object at 0x1203830>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Extended____Nat__Oenat_001t__Extended____Nat__Oenat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring order_4130057895858720880d_enat:((extended_enat->extended_enat)->Prop)
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1203950>, <kernel.DependentProduct object at 0x1203c68>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x12035f0>, <kernel.DependentProduct object at 0x1203bd8>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring order_5726023648592871131at_nat:((nat->nat)->Prop)
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1203c68>, <kernel.DependentProduct object at 0x1203d40>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Real__Oreal_001t__Real__Oreal
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring order_7092887310737990675l_real:((real->real)->Prop)
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1203c20>, <kernel.DependentProduct object at 0x1203dd0>) of role type named sy_c_Orderings_Oordering__top_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ordering_top_nat:((nat->(nat->Prop))->((nat->(nat->Prop))->(nat->Prop)))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1203c68>, <kernel.Constant object at 0x1203cb0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Extended____Nat__Oenat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring top_to3028658606643905974d_enat:extended_enat
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x12037a0>, <kernel.Constant object at 0x1203cb0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_Eo_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring top_top_set_o:set_o
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1203e60>, <kernel.Constant object at 0x1203cb0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring top_top_set_nat:set_nat
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x12037a0>, <kernel.Constant object at 0x1203d40>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Option__Ooption_It__Nat__Onat_J_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring top_to8920198386146353926on_nat:set_option_nat
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1203cb0>, <kernel.Constant object at 0x1203e18>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Ounit_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring top_to1996260823553986621t_unit:set_Product_unit
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1203f38>, <kernel.Constant object at 0x1203e18>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring top_top_set_real:set_real
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1203fc8>, <kernel.Constant object at 0x1203e18>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring top_top_set_char:set_char
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1203fc8>, <kernel.DependentProduct object at 0x1206128>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1203e18>, <kernel.DependentProduct object at 0x12061b8>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring power_power_complex:(complex->(nat->complex))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1203fc8>, <kernel.DependentProduct object at 0x1206290>) of role type named sy_c_Power_Opower__class_Opower_001t__Extended____Nat__Oenat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring power_8040749407984259932d_enat:(extended_enat->(nat->extended_enat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1203e18>, <kernel.DependentProduct object at 0x12061b8>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring power_power_int:(int->(nat->int))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1203fc8>, <kernel.DependentProduct object at 0x12060e0>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring power_power_nat:(nat->(nat->nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1203fc8>, <kernel.DependentProduct object at 0x1206128>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring power_power_rat:(rat->(nat->rat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1206098>, <kernel.DependentProduct object at 0x1206320>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring power_power_real:(real->(nat->real))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1206248>, <kernel.DependentProduct object at 0x12060e0>) 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
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring produc4035269172776083154on_nat:((nat->(nat->Prop))->(produc4953844613479565601on_nat->produc2233624965454879586on_nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1206320>, <kernel.DependentProduct object at 0x1206128>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring produc3209952032786966637at_nat:((nat->(nat->nat))->(produc7248412053542808358at_nat->produc4471711990508489141at_nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x12060e0>, <kernel.DependentProduct object at 0x12061b8>) 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
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring produc8929957630744042906on_nat:((nat->(nat->nat))->(produc4953844613479565601on_nat->produc8306885398267862888on_nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1206128>, <kernel.DependentProduct object at 0x1206518>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Num__Onum_Mt__Num__Onum_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring produc851828971589881931at_num:((nat->(num->num))->(produc2963631642982155120at_num->produc3368934014287244435at_num))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x12061b8>, <kernel.DependentProduct object at 0x12065a8>) 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
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring produc3576312749637752826on_num:((num->(num->Prop))->(produc3447558737645232053on_num->produc7036089656553540234on_num))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1206518>, <kernel.DependentProduct object at 0x1206638>) 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
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring produc5778274026573060048on_num:((num->(num->num))->(produc3447558737645232053on_num->produc1193250871479095198on_num))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x12065a8>, <kernel.DependentProduct object at 0x1206680>) 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
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring produc3994169339658061776at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(produc6121120109295599847at_nat->produc5491161045314408544at_nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1206638>, <kernel.DependentProduct object at 0x1206758>) 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
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring produc2899441246263362727at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(produc6121120109295599847at_nat->produc5542196010084753463at_nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1206830>, <kernel.DependentProduct object at 0x1206320>) of role type named sy_c_Product__Type_OPair_001_Eo_001_Eo
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring product_Pair_o_o:(Prop->(Prop->product_prod_o_o))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x12067a0>, <kernel.DependentProduct object at 0x1206320>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring product_Pair_o_nat:(Prop->(nat->product_prod_o_nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1206830>, <kernel.DependentProduct object at 0x1206710>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring produc2982872950893828659T_VEBT:(Prop->(vEBT_VEBT->produc2504756804600209347T_VEBT))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1206320>, <kernel.DependentProduct object at 0x12069e0>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1206710>, <kernel.DependentProduct object at 0x1206320>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1206a70>, <kernel.DependentProduct object at 0x12069e0>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1206a28>, <kernel.DependentProduct object at 0x1206710>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1206b00>, <kernel.DependentProduct object at 0x1206a70>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Num__Onum
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring product_Pair_nat_num:(nat->(num->product_prod_nat_num))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1206a28>, <kernel.DependentProduct object at 0x1206b00>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring produc487386426758144856at_nat:(nat->(product_prod_nat_nat->produc7248412053542808358at_nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1206a70>, <kernel.DependentProduct object at 0x1206a28>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring produc1195630363706982562at_num:(nat->(product_prod_nat_num->produc2963631642982155120at_num))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1206b00>, <kernel.DependentProduct object at 0x1206a70>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc599794634098209291T_VEBT:(nat->(vEBT_VEBT->produc8025551001238799321T_VEBT))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1206cf8>, <kernel.DependentProduct object at 0x1206a28>) of role type named sy_c_Product__Type_OPair_001t__Num__Onum_001t__Num__Onum
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring product_Pair_num_num:(num->(num->product_prod_num_num))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1206b00>, <kernel.DependentProduct object at 0x1206cf8>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Nat__Onat_J_001t__Option__Ooption_It__Nat__Onat_J
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc5098337634421038937on_nat:(option_nat->(option_nat->produc4953844613479565601on_nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1206a28>, <kernel.DependentProduct object at 0x1206b00>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Num__Onum_J_001t__Option__Ooption_It__Num__Onum_J
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc8585076106096196333on_num:(option_num->(option_num->produc3447558737645232053on_num))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1206cf8>, <kernel.DependentProduct object at 0x1206c68>) 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
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc488173922507101015at_nat:(option4927543243414619207at_nat->(option4927543243414619207at_nat->produc6121120109295599847at_nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1206b00>, <kernel.DependentProduct object at 0x1206cf8>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc6161850002892822231at_nat:(product_prod_nat_nat->(product_prod_nat_nat->produc859450856879609959at_nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1206c68>, <kernel.DependentProduct object at 0x1206b00>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1206cf8>, <kernel.DependentProduct object at 0x1208050>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Extended____Nat__Oenat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc581526299967858633d_enat:(vEBT_VEBT->(extended_enat->produc7272778201969148633d_enat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1206b00>, <kernel.DependentProduct object at 0x1208128>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1206b00>, <kernel.DependentProduct object at 0x12081b8>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1206fc8>, <kernel.DependentProduct object at 0x12082d8>) of role type named sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc457027306803732586at_nat:(set_nat->((nat->set_nat)->set_Pr1261947904930325089at_nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208200>, <kernel.DependentProduct object at 0x1208098>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208320>, <kernel.DependentProduct object at 0x12083f8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208050>, <kernel.DependentProduct object at 0x1208488>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208290>, <kernel.DependentProduct object at 0x1208170>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc7336495610019696514er_num:((code_integer->(code_integer->num))->(produc8923325533196201883nteger->num))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208488>, <kernel.DependentProduct object at 0x12082d8>) 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
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208170>, <kernel.DependentProduct object at 0x1208320>) 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
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x12082d8>, <kernel.DependentProduct object at 0x12083b0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Complex__Ocomplex_001t__Complex__Ocomplex_001_Eo
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc6771430404735790350plex_o:((complex->(complex->Prop))->(produc4411394909380815293omplex->Prop))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208320>, <kernel.DependentProduct object at 0x12085f0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x12083b0>, <kernel.DependentProduct object at 0x1208758>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc8211389475949308722nt_int:((int->(int->int))->(product_prod_int_int->int))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x12085f0>, <kernel.DependentProduct object at 0x1208710>) 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
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208758>, <kernel.DependentProduct object at 0x12087a0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Real__Oreal_J
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc6452406959799940328t_real:((int->(int->set_real))->(product_prod_int_int->set_real))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208710>, <kernel.DependentProduct object at 0x1208950>) 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
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc8739625826339149834_nat_o:((nat->(nat->(product_prod_nat_nat->Prop)))->(product_prod_nat_nat->(product_prod_nat_nat->Prop)))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x12087a0>, <kernel.DependentProduct object at 0x12089e0>) 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
% 0.69/0.88 Using role type
% 0.69/0.88 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)))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208950>, <kernel.DependentProduct object at 0x1208440>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x12089e0>, <kernel.DependentProduct object at 0x1208560>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc1917071388513777916omplex:((nat->(nat->complex))->(product_prod_nat_nat->complex))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208440>, <kernel.DependentProduct object at 0x1208a70>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Extended____Nat__Oenat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc2676513652042109336d_enat:((nat->(nat->extended_enat))->(product_prod_nat_nat->extended_enat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208560>, <kernel.DependentProduct object at 0x1208b00>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc6840382203811409530at_int:((nat->(nat->int))->(product_prod_nat_nat->int))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208a70>, <kernel.DependentProduct object at 0x1208b90>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc6842872674320459806at_nat:((nat->(nat->nat))->(product_prod_nat_nat->nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208b00>, <kernel.DependentProduct object at 0x1208c20>) 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
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208b90>, <kernel.DependentProduct object at 0x1208cb0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Rat__Orat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc6207742614233964070at_rat:((nat->(nat->rat))->(product_prod_nat_nat->rat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208c20>, <kernel.DependentProduct object at 0x1208d40>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Real__Oreal
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc1703576794950452218t_real:((nat->(nat->real))->(product_prod_nat_nat->real))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208cb0>, <kernel.DependentProduct object at 0x1208dd0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Set__Oset_It__Int__Oint_J
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc2011625207790711856et_int:((nat->(nat->set_int))->(product_prod_nat_nat->set_int))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208d40>, <kernel.DependentProduct object at 0x1208e60>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc6189476227299908564et_nat:((nat->(nat->set_nat))->(product_prod_nat_nat->set_nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208dd0>, <kernel.DependentProduct object at 0x1208ef0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Set__Oset_It__Real__Oreal_J
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc3668448655016342576t_real:((nat->(nat->set_real))->(product_prod_nat_nat->set_real))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1208e60>, <kernel.DependentProduct object at 0x1208f80>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001_Eo
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring produc4927758841916487424_num_o:((nat->(num->Prop))->(product_prod_nat_num->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x1208ef0>, <kernel.DependentProduct object at 0x120a098>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Option__Ooption_It__Num__Onum_J
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring produc478579273971653890on_num:((nat->(num->option_num))->(product_prod_nat_num->option_num))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x1208ef0>, <kernel.DependentProduct object at 0x120a170>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Set__Oset_It__Int__Oint_J
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring produc9175805072616146554et_int:((nat->(num->set_int))->(product_prod_nat_num->set_int))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x1208878>, <kernel.DependentProduct object at 0x120a1b8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Set__Oset_It__Nat__Onat_J
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring produc4130284055270567454et_nat:((nat->(num->set_nat))->(product_prod_nat_num->set_nat))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a248>, <kernel.DependentProduct object at 0x120a050>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Set__Oset_It__Real__Oreal_J
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring produc1435849484188172666t_real:((nat->(num->set_real))->(product_prod_nat_num->set_real))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a368>, <kernel.DependentProduct object at 0x120a2d8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001_Eo
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring produc5703948589228662326_num_o:((num->(num->Prop))->(product_prod_num_num->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a1b8>, <kernel.DependentProduct object at 0x120a320>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Int__Oint_J
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring produc6406642877701697732et_int:((num->(num->set_int))->(product_prod_num_num->set_int))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a170>, <kernel.DependentProduct object at 0x120a440>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Nat__Onat_J
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring produc1361121860356118632et_nat:((num->(num->set_nat))->(product_prod_num_num->set_nat))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a320>, <kernel.DependentProduct object at 0x120a3f8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Real__Oreal_J
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring produc8296048397933160132t_real:((num->(num->set_real))->(product_prod_num_num->set_real))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a440>, <kernel.DependentProduct object at 0x120a290>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring produc6590410687421337004_nat_o:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(produc859450856879609959at_nat->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a3f8>, <kernel.DependentProduct object at 0x120a2d8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Real__Oreal_001t__Real__Oreal_001_Eo
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring produc5414030515140494994real_o:((real->(real->Prop))->(produc2422161461964618553l_real->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a5a8>, <kernel.DependentProduct object at 0x120a6c8>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a5f0>, <kernel.DependentProduct object at 0x120a710>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a518>, <kernel.DependentProduct object at 0x120a758>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a2d8>, <kernel.DependentProduct object at 0x120a7a0>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a518>, <kernel.DependentProduct object at 0x120a5a8>) of role type named sy_c_Quotient_Oquot__type_Oabs_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring quot_a3129823074075660125t_real:(((nat->rat)->((nat->rat)->Prop))->((set_nat_rat->real)->((nat->rat)->real)))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a7a0>, <kernel.DependentProduct object at 0x120a6c8>) of role type named sy_c_Quotient_Oquot__type_Orep_001t__Real__Oreal_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring quot_r1730120044975580712at_rat:((real->set_nat_rat)->(real->(nat->rat)))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a8c0>, <kernel.DependentProduct object at 0x120a998>) of role type named sy_c_Rat_OAbs__Rat
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring abs_Rat:(product_prod_int_int->rat)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a7e8>, <kernel.DependentProduct object at 0x120a7a0>) of role type named sy_c_Rat_OFract
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring fract:(int->(int->rat))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a950>, <kernel.DependentProduct object at 0x120a758>) of role type named sy_c_Rat_OFrct
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring frct:(product_prod_int_int->rat)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a6c8>, <kernel.DependentProduct object at 0x120a2d8>) of role type named sy_c_Rat_ORep__Rat
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring rep_Rat:(rat->product_prod_int_int)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a950>, <kernel.Constant object at 0x120a7a0>) of role type named sy_c_Rat_Ofield__char__0__class_ORats_001t__Real__Oreal
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring field_5140801741446780682s_real:set_real
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a2d8>, <kernel.DependentProduct object at 0x120aab8>) of role type named sy_c_Rat_Ofield__char__0__class_Oof__rat_001t__Real__Oreal
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring field_7254667332652039916t_real:(rat->real)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a758>, <kernel.DependentProduct object at 0x120ab48>) of role type named sy_c_Rat_Onormalize
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a7e8>, <kernel.DependentProduct object at 0x120a2d8>) of role type named sy_c_Rat_Opcr__rat
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring pcr_rat:(product_prod_int_int->(rat->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120ab00>, <kernel.DependentProduct object at 0x120abd8>) of role type named sy_c_Rat_Opositive
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring positive:(rat->Prop)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a758>, <kernel.DependentProduct object at 0x120ac20>) of role type named sy_c_Rat_Oquotient__of
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring quotient_of:(rat->product_prod_int_int)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120ab48>, <kernel.DependentProduct object at 0x120ab00>) of role type named sy_c_Rat_Oratrel
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring ratrel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120ab90>, <kernel.DependentProduct object at 0x120a758>) of role type named sy_c_Real_OReal
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring real2:((nat->rat)->real)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a2d8>, <kernel.DependentProduct object at 0x120abd8>) of role type named sy_c_Real_Ocauchy
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring cauchy:((nat->rat)->Prop)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a7e8>, <kernel.DependentProduct object at 0x120ac68>) of role type named sy_c_Real_Ocr__real
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring cr_real:((nat->rat)->(real->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120abd8>, <kernel.DependentProduct object at 0x120acf8>) of role type named sy_c_Real_Opcr__real
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring pcr_real:((nat->rat)->(real->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120ac68>, <kernel.DependentProduct object at 0x120add0>) of role type named sy_c_Real_Opositive
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring positive2:(real->Prop)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a7e8>, <kernel.DependentProduct object at 0x120ae18>) of role type named sy_c_Real_Oreal_OAbs__real
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring abs_real:(set_nat_rat->real)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120ab90>, <kernel.DependentProduct object at 0x120ae60>) of role type named sy_c_Real_Oreal_ORep__real
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring rep_real:(real->set_nat_rat)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120acf8>, <kernel.DependentProduct object at 0x120af38>) of role type named sy_c_Real_Orealrel
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring realrel:((nat->rat)->((nat->rat)->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a7e8>, <kernel.DependentProduct object at 0x120ab90>) of role type named sy_c_Real_Orep__real
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring rep_real2:(real->(nat->rat))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120add0>, <kernel.DependentProduct object at 0x120af80>) of role type named sy_c_Real_Ovanishes
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vanishes:((nat->rat)->Prop)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120a7e8>, <kernel.Constant object at 0x120af38>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Complex__Ocomplex
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring real_V2521375963428798218omplex:set_complex
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120af80>, <kernel.DependentProduct object at 0x120a7e8>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Complex__Ocomplex
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring real_V3694042436643373181omplex:(complex->(complex->real))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120af38>, <kernel.DependentProduct object at 0x120aea8>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Real__Oreal
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring real_V975177566351809787t_real:(real->(real->real))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120af38>, <kernel.DependentProduct object at 0x120d128>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120af38>, <kernel.DependentProduct object at 0x120d200>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring real_V7735802525324610683m_real:(real->real)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120acf8>, <kernel.DependentProduct object at 0x120d290>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120d128>, <kernel.DependentProduct object at 0x120d320>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Real__Oreal
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring real_V1803761363581548252l_real:(real->real)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120abd8>, <kernel.DependentProduct object at 0x120d440>) of role type named sy_c_Relation_ODomainp_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring domainp_nat_rat_real:(((nat->rat)->(real->Prop))->((nat->rat)->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120abd8>, <kernel.DependentProduct object at 0x120d3b0>) of role type named sy_c_Relation_ODomainp_001t__Nat__Onat_001t__Nat__Onat
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring domainp_nat_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120d440>, <kernel.DependentProduct object at 0x120d050>) of role type named sy_c_Relation_ODomainp_001t__Rat__Orat_001t__Rat__Orat
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring domainp_rat_rat:((rat->(rat->Prop))->(rat->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x120d3b0>, <kernel.DependentProduct object at 0x120d488>) of role type named sy_c_Relation_OField_001t__Nat__Onat
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring field_nat:(set_Pr1261947904930325089at_nat->set_nat)
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d440>, <kernel.DependentProduct object at 0x120d4d0>) of role type named sy_c_Relation_Orelcompp_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring relcom2856161143838007533t_real:(((nat->rat)->((nat->rat)->Prop))->(((nat->rat)->(real->Prop))->((nat->rat)->(real->Prop))))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d518>, <kernel.DependentProduct object at 0x120d4d0>) of role type named sy_c_Relation_Otransp_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring transp_nat_rat:(((nat->rat)->((nat->rat)->Prop))->Prop)
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d440>, <kernel.DependentProduct object at 0x120d518>) of role type named sy_c_Rings_Oalgebraic__semidom__class_Ocoprime_001t__Int__Oint
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring algebr932160517623751201me_int:(int->(int->Prop))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d4d0>, <kernel.DependentProduct object at 0x120d440>) of role type named sy_c_Rings_Oalgebraic__semidom__class_Ocoprime_001t__Nat__Onat
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring algebr934650988132801477me_nat:(nat->(nat->Prop))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d518>, <kernel.DependentProduct object at 0x120d4d0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d440>, <kernel.DependentProduct object at 0x120d518>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d5f0>, <kernel.DependentProduct object at 0x120d4d0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring divide_divide_int:(int->(int->int))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d6c8>, <kernel.DependentProduct object at 0x120d440>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d830>, <kernel.DependentProduct object at 0x120d5f0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d680>, <kernel.DependentProduct object at 0x120d6c8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring divide_divide_real:(real->(real->real))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d758>, <kernel.DependentProduct object at 0x120d830>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d7e8>, <kernel.DependentProduct object at 0x120d680>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d440>, <kernel.DependentProduct object at 0x120d758>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d5f0>, <kernel.DependentProduct object at 0x120d7e8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d6c8>, <kernel.DependentProduct object at 0x120d440>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d830>, <kernel.DependentProduct object at 0x120d5f0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d6c8>, <kernel.DependentProduct object at 0x120d830>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d518>, <kernel.DependentProduct object at 0x120d5f0>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring modulo_modulo_int:(int->(int->int))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d680>, <kernel.DependentProduct object at 0x120d6c8>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d518>, <kernel.DependentProduct object at 0x120dc20>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d6c8>, <kernel.DependentProduct object at 0x120d758>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120dc20>, <kernel.DependentProduct object at 0x120dcb0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Extended____Nat__Oenat
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring zero_n1046097342994218471d_enat:(Prop->extended_enat)
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d758>, <kernel.DependentProduct object at 0x120dd40>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120dcb0>, <kernel.DependentProduct object at 0x120ddd0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120dd40>, <kernel.DependentProduct object at 0x120de60>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120ddd0>, <kernel.DependentProduct object at 0x120def0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120dd40>, <kernel.DependentProduct object at 0x120de60>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring suminf_complex:((nat->complex)->complex)
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120d2d8>, <kernel.DependentProduct object at 0x1210050>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring suminf_int:((nat->int)->int)
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120df38>, <kernel.DependentProduct object at 0x1210098>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring suminf_nat:((nat->nat)->nat)
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120df80>, <kernel.DependentProduct object at 0x12100e0>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring suminf_real:((nat->real)->real)
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120df38>, <kernel.DependentProduct object at 0x12100e0>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring summable_complex:((nat->complex)->Prop)
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120dfc8>, <kernel.DependentProduct object at 0x1210128>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring summable_int:((nat->int)->Prop)
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120df80>, <kernel.DependentProduct object at 0x1210050>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring summable_nat:((nat->nat)->Prop)
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x120df38>, <kernel.DependentProduct object at 0x1210128>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring summable_real:((nat->real)->Prop)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x120df80>, <kernel.DependentProduct object at 0x1210128>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x120df80>, <kernel.DependentProduct object at 0x1210248>) of role type named sy_c_Series_Osums_001t__Int__Oint
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring sums_int:((nat->int)->(int->Prop))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210200>, <kernel.DependentProduct object at 0x12101b8>) of role type named sy_c_Series_Osums_001t__Nat__Onat
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring sums_nat:((nat->nat)->(nat->Prop))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210170>, <kernel.DependentProduct object at 0x12102d8>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring sums_real:((nat->real)->(real->Prop))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x12101b8>, <kernel.DependentProduct object at 0x1210098>) of role type named sy_c_Set_OCollect_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collect_nat_rat:(((nat->rat)->Prop)->set_nat_rat)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x12100e0>, <kernel.DependentProduct object at 0x1210128>) of role type named sy_c_Set_OCollect_001t__Code____Numeral__Ointeger
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collect_Code_integer:((code_integer->Prop)->set_Code_integer)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210050>, <kernel.DependentProduct object at 0x12103f8>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x12100e0>, <kernel.DependentProduct object at 0x1210440>) of role type named sy_c_Set_OCollect_001t__Extended____Nat__Oenat
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collec4429806609662206161d_enat:((extended_enat->Prop)->set_Extended_enat)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210248>, <kernel.DependentProduct object at 0x1210518>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collect_int:((int->Prop)->set_int)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210170>, <kernel.DependentProduct object at 0x12100e0>) of role type named sy_c_Set_OCollect_001t__List__Olist_I_Eo_J
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collect_list_o:((list_o->Prop)->set_list_o)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210518>, <kernel.DependentProduct object at 0x1210560>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Complex__Ocomplex_J
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collect_list_complex:((list_complex->Prop)->set_list_complex)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210170>, <kernel.DependentProduct object at 0x1210518>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Extended____Nat__Oenat_J
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collec8433460942617342167d_enat:((list_Extended_enat->Prop)->set_li5464603477888414924d_enat)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210050>, <kernel.DependentProduct object at 0x1210638>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Int__Oint_J
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collect_list_int:((list_int->Prop)->set_list_int)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x12103f8>, <kernel.DependentProduct object at 0x1210680>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210050>, <kernel.DependentProduct object at 0x12106c8>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collec5608196760682091941T_VEBT:((list_VEBT_VEBT->Prop)->set_list_VEBT_VEBT)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210290>, <kernel.DependentProduct object at 0x12107a0>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x12104d0>, <kernel.DependentProduct object at 0x12107e8>) of role type named sy_c_Set_OCollect_001t__Num__Onum
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collect_num:((num->Prop)->set_num)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x12103f8>, <kernel.DependentProduct object at 0x12106c8>) of role type named sy_c_Set_OCollect_001t__Option__Ooption_It__Nat__Onat_J
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collect_option_nat:((option_nat->Prop)->set_option_nat)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210290>, <kernel.DependentProduct object at 0x12103f8>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collec8663557070575231912omplex:((produc4411394909380815293omplex->Prop)->set_Pr5085853215250843933omplex)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x12106c8>, <kernel.DependentProduct object at 0x1210290>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x12103f8>, <kernel.DependentProduct object at 0x12106c8>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collec3392354462482085612at_nat:((product_prod_nat_nat->Prop)->set_Pr1261947904930325089at_nat)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210290>, <kernel.DependentProduct object at 0x12103f8>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collec3799799289383736868l_real:((produc2422161461964618553l_real->Prop)->set_Pr6218003697084177305l_real)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210488>, <kernel.DependentProduct object at 0x1210ab8>) of role type named sy_c_Set_OCollect_001t__Rat__Orat
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collect_rat:((rat->Prop)->set_rat)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210050>, <kernel.DependentProduct object at 0x1210b00>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collect_real:((real->Prop)->set_real)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210710>, <kernel.DependentProduct object at 0x12103f8>) of role type named sy_c_Set_OCollect_001t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collect_set_nat_rat:((set_nat_rat->Prop)->set_set_nat_rat)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210b00>, <kernel.DependentProduct object at 0x1210b48>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring collect_set_nat:((set_nat->Prop)->set_set_nat)
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210710>, <kernel.DependentProduct object at 0x1210a70>) of role type named sy_c_Set_Oimage_001t__Extended____Nat__Oenat_001t__Extended____Nat__Oenat
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring image_80655429650038917d_enat:((extended_enat->extended_enat)->(set_Extended_enat->set_Extended_enat))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210b00>, <kernel.DependentProduct object at 0x12106c8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210b48>, <kernel.DependentProduct object at 0x1210a28>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210b00>, <kernel.DependentProduct object at 0x1210710>) 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
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring image_5971271580939081552omplex:((real->filter6041513312241820739omplex)->(set_real->set_fi4554929511873752355omplex))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210a28>, <kernel.DependentProduct object at 0x1210a70>) 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
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring image_2178119161166701260l_real:((real->filter2146258269922977983l_real)->(set_real->set_fi7789364187291644575l_real))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210d88>, <kernel.DependentProduct object at 0x1210290>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210710>, <kernel.DependentProduct object at 0x1210c68>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210a28>, <kernel.DependentProduct object at 0x1210cf8>) of role type named sy_c_Set_Oimage_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring image_VEBT_VEBT_nat:((vEBT_VEBT->nat)->(set_VEBT_VEBT->set_nat))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210d88>, <kernel.DependentProduct object at 0x1210710>) of role type named sy_c_Set_Oinsert_001t__Complex__Ocomplex
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring insert_complex:(complex->(set_complex->set_complex))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210a70>, <kernel.DependentProduct object at 0x1210a28>) of role type named sy_c_Set_Oinsert_001t__Extended____Nat__Oenat
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring insert_Extended_enat:(extended_enat->(set_Extended_enat->set_Extended_enat))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x12109e0>, <kernel.DependentProduct object at 0x1210a70>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring insert_int:(int->(set_int->set_int))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210290>, <kernel.DependentProduct object at 0x1210a28>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210d40>, <kernel.DependentProduct object at 0x12109e0>) of role type named sy_c_Set_Oinsert_001t__Num__Onum
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring insert_num:(num->(set_num->set_num))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210a28>, <kernel.DependentProduct object at 0x1210d88>) of role type named sy_c_Set_Oinsert_001t__Option__Ooption_It__Nat__Onat_J
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring insert_option_nat:(option_nat->(set_option_nat->set_option_nat))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210710>, <kernel.DependentProduct object at 0x1210cf8>) of role type named sy_c_Set_Oinsert_001t__Rat__Orat
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring insert_rat:(rat->(set_rat->set_rat))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210d40>, <kernel.DependentProduct object at 0x12109e0>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring insert_real:(real->(set_real->set_real))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210d88>, <kernel.DependentProduct object at 0x1210cf8>) of role type named sy_c_Set_Oinsert_001t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring insert_set_nat_rat:(set_nat_rat->(set_set_nat_rat->set_set_nat_rat))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210710>, <kernel.DependentProduct object at 0x1213128>) of role type named sy_c_Set_Oinsert_001t__VEBT____Definitions__OVEBT
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring insert_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210d88>, <kernel.DependentProduct object at 0x1213128>) of role type named sy_c_Set_Ovimage_001t__Nat__Onat_001t__Nat__Onat
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring vimage_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1210710>, <kernel.DependentProduct object at 0x1213050>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Complex__Ocomplex
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring set_fo1517530859248394432omplex:((nat->(complex->complex))->(nat->(nat->(complex->complex))))
% 0.71/0.91 FOF formula (<kernel.Constant object at 0x1213098>, <kernel.DependentProduct object at 0x1213128>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Extended____Nat__Oenat
% 0.71/0.91 Using role type
% 0.71/0.91 Declaring set_fo2538466533108834004d_enat:((nat->(extended_enat->extended_enat))->(nat->(nat->(extended_enat->extended_enat))))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213050>, <kernel.DependentProduct object at 0x1213170>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Int__Oint
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_fo2581907887559384638at_int:((nat->(int->int))->(nat->(nat->(int->int))))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213128>, <kernel.DependentProduct object at 0x1213248>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213170>, <kernel.DependentProduct object at 0x12131b8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Rat__Orat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_fo1949268297981939178at_rat:((nat->(rat->rat))->(nat->(nat->(rat->rat))))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213248>, <kernel.DependentProduct object at 0x12133f8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Real__Oreal
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_fo3111899725591712190t_real:((nat->(real->real))->(nat->(nat->(real->real))))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x12131b8>, <kernel.DependentProduct object at 0x1213560>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Extended____Nat__Oenat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_or5403411693681687835d_enat:(extended_enat->(extended_enat->set_Extended_enat))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213368>, <kernel.DependentProduct object at 0x12131b8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213560>, <kernel.DependentProduct object at 0x1213368>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x12131b8>, <kernel.DependentProduct object at 0x1213560>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213368>, <kernel.DependentProduct object at 0x12131b8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213560>, <kernel.DependentProduct object at 0x1213368>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x12131b8>, <kernel.DependentProduct object at 0x1213560>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_or5795412311047298440at_rat:(set_nat_rat->(set_nat_rat->set_set_nat_rat))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213368>, <kernel.DependentProduct object at 0x12131b8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Nat__Onat_J
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_or4548717258645045905et_nat:(set_nat->(set_nat->set_set_nat))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213560>, <kernel.DependentProduct object at 0x1213368>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x12131b8>, <kernel.DependentProduct object at 0x1213560>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_or5632376147039224640at_rat:((nat->rat)->set_nat_rat)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213a70>, <kernel.DependentProduct object at 0x1213b00>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Int__Oint
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_ord_atMost_int:(int->set_int)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x12139e0>, <kernel.DependentProduct object at 0x1213b48>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213a28>, <kernel.DependentProduct object at 0x1213b90>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Num__Onum
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_ord_atMost_num:(num->set_num)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213560>, <kernel.DependentProduct object at 0x1213bd8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Rat__Orat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_ord_atMost_rat:(rat->set_rat)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213b00>, <kernel.DependentProduct object at 0x1213c20>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Real__Oreal
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_ord_atMost_real:(real->set_real)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213560>, <kernel.DependentProduct object at 0x1213c68>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_or3094126398206284534at_rat:(set_nat_rat->set_set_nat_rat)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213c20>, <kernel.DependentProduct object at 0x1213cf8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Set__Oset_It__Nat__Onat_J
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_or4236626031148496127et_nat:(set_nat->set_set_nat)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213c68>, <kernel.DependentProduct object at 0x1213c20>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213cf8>, <kernel.DependentProduct object at 0x1213c68>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213c20>, <kernel.DependentProduct object at 0x1213cf8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213c68>, <kernel.DependentProduct object at 0x1213b48>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213cf8>, <kernel.DependentProduct object at 0x1213c68>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_or6855495488841395556at_rat:((nat->rat)->set_nat_rat)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213c20>, <kernel.DependentProduct object at 0x1215098>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Int__Oint
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_ord_lessThan_int:(int->set_int)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213ef0>, <kernel.DependentProduct object at 0x12150e0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213c68>, <kernel.DependentProduct object at 0x1215128>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Num__Onum
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_ord_lessThan_num:(num->set_num)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213cf8>, <kernel.DependentProduct object at 0x1215170>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Rat__Orat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_ord_lessThan_rat:(rat->set_rat)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213cf8>, <kernel.DependentProduct object at 0x12151b8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213b48>, <kernel.DependentProduct object at 0x1215248>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring set_or6234697943151750426at_rat:(set_nat_rat->set_set_nat_rat)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213cf8>, <kernel.DependentProduct object at 0x1215368>) of role type named sy_c_String_OCode_Oabort_001t__Real__Oreal
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring abort_real:(literal->((product_unit->real)->real))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213c68>, <kernel.DependentProduct object at 0x1215320>) of role type named sy_c_String_OLiteral
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring literal2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(literal->literal))))))))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1213c68>, <kernel.DependentProduct object at 0x1215488>) of role type named sy_c_String_Oascii__of
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring ascii_of:(char->char)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x12151b8>, <kernel.DependentProduct object at 0x1215440>) of role type named sy_c_String_Ochar_OChar
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring char2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->char))))))))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1215128>, <kernel.DependentProduct object at 0x1215518>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1215290>, <kernel.DependentProduct object at 0x1215170>) of role type named sy_c_String_Ointeger__of__char
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring integer_of_char:(char->code_integer)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1215440>, <kernel.DependentProduct object at 0x1215128>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1215368>, <kernel.DependentProduct object at 0x1215488>) of role type named sy_c_Sum__Type_OInl_001t__Nat__Onat_001t__Nat__Onat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring sum_Inl_nat_nat:(nat->sum_sum_nat_nat)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x12151b8>, <kernel.DependentProduct object at 0x12155a8>) of role type named sy_c_Sum__Type_OInr_001t__Nat__Onat_001t__Nat__Onat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring sum_Inr_nat_nat:(nat->sum_sum_nat_nat)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1215368>, <kernel.DependentProduct object at 0x1215680>) of role type named sy_c_Sum__Type_Osum_Ocase__sum_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring sum_ca6763686470577984908at_nat:((nat->nat)->((nat->nat)->(sum_sum_nat_nat->nat)))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x12155a8>, <kernel.DependentProduct object at 0x12151b8>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x1215680>, <kernel.DependentProduct object at 0x12157a0>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Real__Oreal_001t__Real__Oreal
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring topolo5044208981011980120l_real:(set_real->((real->real)->Prop))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x12151b8>, <kernel.DependentProduct object at 0x12155a8>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Int__Oint
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring topolo4899668324122417113eq_int:((nat->int)->Prop)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x12157a0>, <kernel.DependentProduct object at 0x12157e8>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Nat__Onat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring topolo4902158794631467389eq_nat:((nat->nat)->Prop)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x12155a8>, <kernel.DependentProduct object at 0x1215878>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Num__Onum
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring topolo1459490580787246023eq_num:((nat->num)->Prop)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x12157e8>, <kernel.DependentProduct object at 0x1215908>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Rat__Orat
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring topolo4267028734544971653eq_rat:((nat->rat)->Prop)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215878>, <kernel.DependentProduct object at 0x1215998>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215908>, <kernel.DependentProduct object at 0x1215a28>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Set__Oset_It__Nat__Onat_J
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring topolo7278393974255667507et_nat:((nat->set_nat)->Prop)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215998>, <kernel.DependentProduct object at 0x1215908>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215a28>, <kernel.DependentProduct object at 0x1215b48>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oconvergent_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring topolo7531315842566124627t_real:((nat->real)->Prop)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215908>, <kernel.DependentProduct object at 0x1215c20>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215b48>, <kernel.DependentProduct object at 0x1215c68>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215c20>, <kernel.Constant object at 0x1215b00>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Complex__Ocomplex
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring topolo896644834953643431omplex:filter6041513312241820739omplex
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215c68>, <kernel.Constant object at 0x1215908>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring topolo1511823702728130853y_real:filter2146258269922977983l_real
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215d40>, <kernel.DependentProduct object at 0x1215e60>) of role type named sy_c_Transcendental_Oarccos
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring arccos:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215cf8>, <kernel.DependentProduct object at 0x1215ea8>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring arcosh_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215d88>, <kernel.DependentProduct object at 0x1215ef0>) of role type named sy_c_Transcendental_Oarcsin
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring arcsin:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215908>, <kernel.DependentProduct object at 0x1215f38>) of role type named sy_c_Transcendental_Oarctan
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring arctan:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215e60>, <kernel.DependentProduct object at 0x1215f80>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring arsinh_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215ea8>, <kernel.DependentProduct object at 0x1215fc8>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring artanh_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215ef0>, <kernel.DependentProduct object at 0x1219050>) of role type named sy_c_Transcendental_Ocos_001t__Complex__Ocomplex
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring cos_complex:(complex->complex)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215f38>, <kernel.DependentProduct object at 0x1219098>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring cos_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x12153b0>, <kernel.DependentProduct object at 0x1219128>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring cos_coeff:(nat->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215ea8>, <kernel.DependentProduct object at 0x12190e0>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring cosh_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215f80>, <kernel.DependentProduct object at 0x1219170>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring cot_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215908>, <kernel.DependentProduct object at 0x1219170>) of role type named sy_c_Transcendental_Odiffs_001t__Complex__Ocomplex
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring diffs_complex:((nat->complex)->(nat->complex))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215ea8>, <kernel.DependentProduct object at 0x1219170>) of role type named sy_c_Transcendental_Odiffs_001t__Int__Oint
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring diffs_int:((nat->int)->(nat->int))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215908>, <kernel.DependentProduct object at 0x1219170>) of role type named sy_c_Transcendental_Odiffs_001t__Rat__Orat
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring diffs_rat:((nat->rat)->(nat->rat))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215f80>, <kernel.DependentProduct object at 0x1219200>) of role type named sy_c_Transcendental_Odiffs_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring diffs_real:((nat->real)->(nat->real))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1215f80>, <kernel.DependentProduct object at 0x12191b8>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring exp_complex:(complex->complex)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1219050>, <kernel.DependentProduct object at 0x1219128>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring exp_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x12190e0>, <kernel.DependentProduct object at 0x1219368>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring ln_ln_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1219200>, <kernel.DependentProduct object at 0x1219050>) of role type named sy_c_Transcendental_Olog
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring log:(real->(real->real))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x12193b0>, <kernel.Constant object at 0x1219050>) of role type named sy_c_Transcendental_Opi
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring pi:real
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1219368>, <kernel.DependentProduct object at 0x1219200>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring powr_real:(real->(real->real))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x12192d8>, <kernel.DependentProduct object at 0x1219368>) of role type named sy_c_Transcendental_Opowr__real
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring powr_real2:(real->(real->real))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1219128>, <kernel.DependentProduct object at 0x1219560>) of role type named sy_c_Transcendental_Osin_001t__Complex__Ocomplex
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring sin_complex:(complex->complex)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1219368>, <kernel.DependentProduct object at 0x1219518>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring sin_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x12191b8>, <kernel.DependentProduct object at 0x12195a8>) of role type named sy_c_Transcendental_Osin__coeff
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring sin_coeff:(nat->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1219560>, <kernel.DependentProduct object at 0x1219368>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring sinh_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x12195a8>, <kernel.DependentProduct object at 0x12195f0>) of role type named sy_c_Transcendental_Otan_001t__Complex__Ocomplex
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring tan_complex:(complex->complex)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x12193b0>, <kernel.DependentProduct object at 0x1219638>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring tan_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x12191b8>, <kernel.DependentProduct object at 0x1219680>) of role type named sy_c_Transcendental_Otanh_001t__Complex__Ocomplex
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring tanh_complex:(complex->complex)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1219368>, <kernel.DependentProduct object at 0x12196c8>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring tanh_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x12191b8>, <kernel.DependentProduct object at 0x1219638>) of role type named sy_c_Transfer_Oleft__total_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring left_t2768085380646472630at_rat:(((nat->rat)->((nat->rat)->Prop))->Prop)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1219368>, <kernel.DependentProduct object at 0x1219680>) of role type named sy_c_Transfer_Oleft__unique_001t__Nat__Onat_001t__Nat__Onat
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring left_unique_nat_nat:((nat->(nat->Prop))->Prop)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x12191b8>, <kernel.DependentProduct object at 0x1219368>) of role type named sy_c_Transitive__Closure_Ortrancl_001t__Nat__Onat
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring transi2905341329935302413cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1219680>, <kernel.DependentProduct object at 0x12191b8>) of role type named sy_c_Transitive__Closure_Otrancl_001t__Nat__Onat
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring transi6264000038957366511cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1219368>, <kernel.DependentProduct object at 0x1219998>) of role type named sy_c_Typedef_Otype__definition_001t__Extended____Nat__Oenat_001t__Option__Ooption_It__Nat__Onat_J
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring type_d7649664348572268762on_nat:((extended_enat->option_nat)->((option_nat->extended_enat)->(set_option_nat->Prop)))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x12191b8>, <kernel.DependentProduct object at 0x1219a28>) of role type named sy_c_Typedef_Otype__definition_001t__Real__Oreal_001t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring type_d8072115097938612567at_rat:((real->set_nat_rat)->((set_nat_rat->real)->(set_set_nat_rat->Prop)))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1219638>, <kernel.DependentProduct object at 0x1219998>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring vEBT_T_i_n_s_e_r_t:(vEBT_VEBT->(nat->nat))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1219a70>, <kernel.DependentProduct object at 0x12191b8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t_H
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring vEBT_T_i_n_s_e_r_t2:(vEBT_VEBT->(nat->nat))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1219638>, <kernel.DependentProduct object at 0x1219a28>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t_H__rel
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring vEBT_T5076183648494686801_t_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x12191b8>, <kernel.DependentProduct object at 0x1219830>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t__rel
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring vEBT_T9217963907923527482_t_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x1219a70>, <kernel.DependentProduct object at 0x1219bd8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062a_092_060_094sub_062x_092_060_094sub_062t
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_T_m_a_x_t:(vEBT_VEBT->nat)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219950>, <kernel.DependentProduct object at 0x12191b8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062a_092_060_094sub_062x_092_060_094sub_062t__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_T_m_a_x_t_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219638>, <kernel.DependentProduct object at 0x1219a70>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_T_m_e_m_b_e_r:(vEBT_VEBT->(nat->nat))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219c20>, <kernel.DependentProduct object at 0x1219950>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r_H
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_T_m_e_m_b_e_r2:(vEBT_VEBT->(nat->nat))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219638>, <kernel.DependentProduct object at 0x12191b8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r_H__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_T8099345112685741742_r_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219950>, <kernel.DependentProduct object at 0x1219998>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_T5837161174952499735_r_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219c20>, <kernel.DependentProduct object at 0x1219e18>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062N_092_060_094sub_062u_092_060_094sub_062l_092_060_094sub_062l
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_T_m_i_n_N_u_l_l:(vEBT_VEBT->nat)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219950>, <kernel.DependentProduct object at 0x1219c20>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062N_092_060_094sub_062u_092_060_094sub_062l_092_060_094sub_062l__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_T5462971552011256508_l_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219638>, <kernel.DependentProduct object at 0x1219ef0>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062t
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_T_m_i_n_t:(vEBT_VEBT->nat)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219998>, <kernel.DependentProduct object at 0x1219950>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062t__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_T_m_i_n_t_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219e60>, <kernel.DependentProduct object at 0x1219638>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_T_s_u_c_c:(vEBT_VEBT->(nat->nat))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219f38>, <kernel.DependentProduct object at 0x1219998>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c_H
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_T_s_u_c_c2:(vEBT_VEBT->(nat->nat))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219c20>, <kernel.DependentProduct object at 0x1219998>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c_H__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_T_s_u_c_c_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219ef0>, <kernel.DependentProduct object at 0x121c098>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_T_s_u_c_c_rel2:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219440>, <kernel.DependentProduct object at 0x121c098>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219f38>, <kernel.DependentProduct object at 0x121c050>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219e60>, <kernel.DependentProduct object at 0x121c1b8>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219e60>, <kernel.DependentProduct object at 0x121c248>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219f38>, <kernel.DependentProduct object at 0x121c290>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oelim__dead
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_elim_dead:(vEBT_VEBT->(extended_enat->vEBT_VEBT))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219e60>, <kernel.DependentProduct object at 0x121c290>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oelim__dead__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V312737461966249ad_rel:(produc7272778201969148633d_enat->(produc7272778201969148633d_enat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1219f38>, <kernel.DependentProduct object at 0x121c2d8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c098>, <kernel.DependentProduct object at 0x121c368>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c0e0>, <kernel.DependentProduct object at 0x121c1b8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c3f8>, <kernel.DependentProduct object at 0x121c098>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c0e0>, <kernel.DependentProduct object at 0x121c368>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c098>, <kernel.DependentProduct object at 0x121c0e0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c368>, <kernel.DependentProduct object at 0x121c1b8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c4d0>, <kernel.DependentProduct object at 0x121c0e0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c5a8>, <kernel.DependentProduct object at 0x121c0e0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c248>, <kernel.DependentProduct object at 0x121c5a8>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c638>, <kernel.DependentProduct object at 0x121c6c8>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c1b8>, <kernel.DependentProduct object at 0x121c0e0>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c248>, <kernel.DependentProduct object at 0x121c1b8>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c710>, <kernel.DependentProduct object at 0x121c7e8>) of role type named sy_c_VEBT__Height_OVEBT__internal_Oheight
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_height:(vEBT_VEBT->nat)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c638>, <kernel.DependentProduct object at 0x121c248>) of role type named sy_c_VEBT__Height_OVEBT__internal_Oheight__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_height_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c680>, <kernel.DependentProduct object at 0x121c638>) of role type named sy_c_VEBT__Insert_Ovebt__insert
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_vebt_insert:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c8c0>, <kernel.DependentProduct object at 0x121c680>) of role type named sy_c_VEBT__Insert_Ovebt__insert__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_vebt_insert_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c878>, <kernel.DependentProduct object at 0x121c248>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c7e8>, <kernel.DependentProduct object at 0x121c1b8>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c878>, <kernel.DependentProduct object at 0x121c7e8>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V6963167321098673237ll_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c998>, <kernel.DependentProduct object at 0x121c6c8>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c758>, <kernel.DependentProduct object at 0x121c998>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c1b8>, <kernel.DependentProduct object at 0x121c758>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c7e8>, <kernel.DependentProduct object at 0x121c6c8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oadd
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_add:(option_nat->(option_nat->option_nat))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121c878>, <kernel.DependentProduct object at 0x121c1b8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ogreater
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_greater:(option_nat->(option_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121ca28>, <kernel.DependentProduct object at 0x121c7e8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oless
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_less:(option_nat->(option_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x121cb00>, <kernel.DependentProduct object at 0x121c878>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Olesseq
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring vEBT_VEBT_lesseq:(option_nat->(option_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121c758>, <kernel.DependentProduct object at 0x121ca28>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omax__in__set
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring vEBT_VEBT_max_in_set:(set_nat->(nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121c6c8>, <kernel.DependentProduct object at 0x121cb00>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omin__in__set
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring vEBT_VEBT_min_in_set:(set_nat->(nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121c1b8>, <kernel.DependentProduct object at 0x121c758>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omul
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring vEBT_VEBT_mul:(option_nat->(option_nat->option_nat))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121c6c8>, <kernel.DependentProduct object at 0x121ccf8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Nat__Onat
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring vEBT_V4262088993061758097ft_nat:((nat->(nat->nat))->(option_nat->(option_nat->option_nat)))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121c758>, <kernel.DependentProduct object at 0x121ce18>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Num__Onum
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring vEBT_V819420779217536731ft_num:((num->(num->num))->(option_num->(option_num->option_num)))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121ccf8>, <kernel.DependentProduct object at 0x121cb48>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring vEBT_V1502963449132264192at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(option4927543243414619207at_nat->(option4927543243414619207at_nat->option4927543243414619207at_nat)))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121cdd0>, <kernel.DependentProduct object at 0x121ce18>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Opower
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring vEBT_VEBT_power:(option_nat->(option_nat->option_nat))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121c248>, <kernel.DependentProduct object at 0x121c878>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring vEBT_vebt_maxt:(vEBT_VEBT->option_nat)
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121cea8>, <kernel.DependentProduct object at 0x121ce18>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt__rel
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring vEBT_vebt_maxt_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121cb48>, <kernel.DependentProduct object at 0x121cf80>) of role type named sy_c_VEBT__MinMax_Ovebt__mint
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring vEBT_vebt_mint:(vEBT_VEBT->option_nat)
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121cf38>, <kernel.DependentProduct object at 0x121cea8>) of role type named sy_c_VEBT__MinMax_Ovebt__mint__rel
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring vEBT_vebt_mint_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121cb00>, <kernel.DependentProduct object at 0x121c878>) of role type named sy_c_VEBT__Pred_Ois__pred__in__set
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring vEBT_is_pred_in_set:(set_nat->(nat->(nat->Prop)))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121ce18>, <kernel.DependentProduct object at 0x121c878>) of role type named sy_c_VEBT__Pred_Ovebt__pred
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring vEBT_vebt_pred:(vEBT_VEBT->(nat->option_nat))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121cfc8>, <kernel.DependentProduct object at 0x121f0e0>) of role type named sy_c_VEBT__Pred_Ovebt__pred__rel
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring vEBT_vebt_pred_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121cb00>, <kernel.DependentProduct object at 0x121f128>) of role type named sy_c_VEBT__Succ_Ois__succ__in__set
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring vEBT_is_succ_in_set:(set_nat->(nat->(nat->Prop)))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121c878>, <kernel.DependentProduct object at 0x121f050>) of role type named sy_c_VEBT__Succ_Ovebt__succ
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring vEBT_vebt_succ:(vEBT_VEBT->(nat->option_nat))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121cf38>, <kernel.DependentProduct object at 0x121f050>) of role type named sy_c_VEBT__Succ_Ovebt__succ__rel
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring vEBT_vebt_succ_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121cfc8>, <kernel.DependentProduct object at 0x121f1b8>) of role type named sy_c_Wellfounded_Oaccp_001t__List__Olist_It__Nat__Onat_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring accp_list_nat:((list_nat->(list_nat->Prop))->(list_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121cf38>, <kernel.DependentProduct object at 0x121f128>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f248>, <kernel.DependentProduct object at 0x121f200>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f1b8>, <kernel.DependentProduct object at 0x121f290>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f050>, <kernel.DependentProduct object at 0x121f320>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring accp_P3113834385874906142um_num:((product_prod_num_num->(product_prod_num_num->Prop))->(product_prod_num_num->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f1b8>, <kernel.DependentProduct object at 0x121f290>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Extended____Nat__Oenat_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring accp_P6183159247885693666d_enat:((produc7272778201969148633d_enat->(produc7272778201969148633d_enat->Prop))->(produc7272778201969148633d_enat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f320>, <kernel.DependentProduct object at 0x121f248>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f488>, <kernel.DependentProduct object at 0x121f1b8>) of role type named sy_c_Wellfounded_Oaccp_001t__VEBT____Definitions__OVEBT
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring accp_VEBT_VEBT:((vEBT_VEBT->(vEBT_VEBT->Prop))->(vEBT_VEBT->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f170>, <kernel.Constant object at 0x121f290>) of role type named sy_c_Wellfounded_Oless__than
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring less_than:set_Pr1261947904930325089at_nat
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f560>, <kernel.Constant object at 0x121f290>) of role type named sy_c_Wellfounded_Opred__nat
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring pred_nat:set_Pr1261947904930325089at_nat
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f518>, <kernel.DependentProduct object at 0x121f5f0>) of role type named sy_c_Wellfounded_Owf_001t__Nat__Onat
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring wf_nat:(set_Pr1261947904930325089at_nat->Prop)
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f248>, <kernel.DependentProduct object at 0x121f6c8>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring fChoice_real:((real->Prop)->real)
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f3f8>, <kernel.DependentProduct object at 0x121f6c8>) of role type named sy_c_member_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_nat_rat:((nat->rat)->(set_nat_rat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f248>, <kernel.DependentProduct object at 0x121f6c8>) of role type named sy_c_member_001_Eo
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_o:(Prop->(set_o->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f1b8>, <kernel.DependentProduct object at 0x121f248>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_complex:(complex->(set_complex->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f710>, <kernel.DependentProduct object at 0x121f3f8>) of role type named sy_c_member_001t__Extended____Nat__Oenat
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_Extended_enat:(extended_enat->(set_Extended_enat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f290>, <kernel.DependentProduct object at 0x121f6c8>) of role type named sy_c_member_001t__Int__Oint
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_int:(int->(set_int->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f248>, <kernel.DependentProduct object at 0x121f710>) of role type named sy_c_member_001t__List__Olist_I_Eo_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_list_o:(list_o->(set_list_o->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f560>, <kernel.DependentProduct object at 0x121f290>) of role type named sy_c_member_001t__List__Olist_It__Nat__Onat_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_list_nat:(list_nat->(set_list_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f248>, <kernel.DependentProduct object at 0x121f560>) of role type named sy_c_member_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member2936631157270082147T_VEBT:(list_VEBT_VEBT->(set_list_VEBT_VEBT->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f3f8>, <kernel.DependentProduct object at 0x121f290>) of role type named sy_c_member_001t__Nat__Onat
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_nat:(nat->(set_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f908>, <kernel.DependentProduct object at 0x121f248>) of role type named sy_c_member_001t__Num__Onum
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_num:(num->(set_num->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f710>, <kernel.DependentProduct object at 0x121f3f8>) of role type named sy_c_member_001t__Option__Ooption_It__Nat__Onat_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_option_nat:(option_nat->(set_option_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f908>, <kernel.DependentProduct object at 0x121f560>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member8440522571783428010at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f3f8>, <kernel.DependentProduct object at 0x121f248>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member8206827879206165904at_nat:(produc859450856879609959at_nat->(set_Pr8693737435421807431at_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f710>, <kernel.DependentProduct object at 0x121f560>) of role type named sy_c_member_001t__Rat__Orat
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_rat:(rat->(set_rat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f518>, <kernel.DependentProduct object at 0x121f710>) of role type named sy_c_member_001t__Real__Oreal
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_real:(real->(set_real->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121fb90>, <kernel.DependentProduct object at 0x121f3f8>) of role type named sy_c_member_001t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_set_nat_rat:(set_nat_rat->(set_set_nat_rat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f1b8>, <kernel.DependentProduct object at 0x121f560>) of role type named sy_c_member_001t__Set__Oset_It__Nat__Onat_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_set_nat:(set_nat->(set_set_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x121f710>, <kernel.DependentProduct object at 0x121fb90>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.76/0.95 Using role type
% 0.76/0.96 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x121fa70>, <kernel.Constant object at 0x121fb90>) of role type named sy_v_deg____
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring deg:nat
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x121f560>, <kernel.Constant object at 0x121fb90>) of role type named sy_v_m____
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring m:nat
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x121f518>, <kernel.Constant object at 0x121fb90>) of role type named sy_v_ma____
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring ma:nat
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x121fcb0>, <kernel.Constant object at 0x121fb90>) of role type named sy_v_mi____
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring mi:nat
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x121fc20>, <kernel.Constant object at 0x121fb90>) of role type named sy_v_na____
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring na:nat
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x121fcf8>, <kernel.Constant object at 0x121fb90>) of role type named sy_v_summary____
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring summary:vEBT_VEBT
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x121fd40>, <kernel.Constant object at 0x121fb90>) of role type named sy_v_treeList____
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring treeList:list_VEBT_VEBT
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x121fd88>, <kernel.Constant object at 0x121fb90>) of role type named sy_v_xa____
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring xa:nat
% 0.76/0.96 FOF formula ((ord_less_eq_nat mi) ma) of role axiom named fact_0__C5_Ohyps_C_I7_J
% 0.76/0.96 A new axiom: ((ord_less_eq_nat mi) ma)
% 0.76/0.96 FOF formula (((eq (set_nat->(nat->Prop))) vEBT_VEBT_max_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat Y) X)))))) of role axiom named fact_1_max__in__set__def
% 0.76/0.96 A new axiom: (((eq (set_nat->(nat->Prop))) vEBT_VEBT_max_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat Y) X))))))
% 0.76/0.96 FOF formula (((eq (set_nat->(nat->Prop))) vEBT_VEBT_min_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat X) Y)))))) of role axiom named fact_2_min__in__set__def
% 0.76/0.96 A new axiom: (((eq (set_nat->(nat->Prop))) vEBT_VEBT_min_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat X) Y))))))
% 0.76/0.96 FOF formula (forall (Summary:vEBT_VEBT) (Info:option4927543243414619207at_nat) (Deg:nat) (TreeList:list_VEBT_VEBT), ((ord_less_eq_nat ((plus_plus_nat one_one_nat) (vEBT_VEBT_height Summary))) (vEBT_VEBT_height ((((vEBT_Node Info) Deg) TreeList) Summary)))) of role axiom named fact_3_height__compose__summary
% 0.76/0.96 A new axiom: (forall (Summary:vEBT_VEBT) (Info:option4927543243414619207at_nat) (Deg:nat) (TreeList:list_VEBT_VEBT), ((ord_less_eq_nat ((plus_plus_nat one_one_nat) (vEBT_VEBT_height Summary))) (vEBT_VEBT_height ((((vEBT_Node Info) Deg) TreeList) Summary))))
% 0.76/0.96 FOF formula ((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) deg) of role axiom named fact_4__092_060open_0622_A_092_060le_062_Adeg_092_060close_062
% 0.76/0.96 A new axiom: ((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) deg)
% 0.76/0.96 FOF formula (forall (X2:nat), ((ord_less_eq_nat ((vEBT_T_s_u_c_c summary) X2)) ((times_times_nat ((plus_plus_nat one_one_nat) (vEBT_VEBT_height summary))) (numeral_numeral_nat (bit1 (bit1 (bit0 (bit1 one)))))))) of role axiom named fact_5__C5_OIH_C_I2_J
% 0.76/0.96 A new axiom: (forall (X2:nat), ((ord_less_eq_nat ((vEBT_T_s_u_c_c summary) X2)) ((times_times_nat ((plus_plus_nat one_one_nat) (vEBT_VEBT_height summary))) (numeral_numeral_nat (bit1 (bit1 (bit0 (bit1 one))))))))
% 0.76/0.96 FOF formula (((eq nat) ((vEBT_T_s_u_c_c ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat mi) ma))) deg) treeList) summary)) xa)) ((plus_plus_nat ((plus_plus_nat ((plus_plus_nat (numeral_numeral_nat (bit1 (bit0 (bit0 (bit0 one)))))) (vEBT_T_m_a_x_t ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))))) ((vEBT_T_s_u_c_c summary) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))))) (((if_nat (((eq option_nat) ((vEBT_vebt_succ summary) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) none_nat)) one_one_nat) ((plus_plus_nat (numeral_numeral_nat (bit0 (bit0 one)))) (vEBT_T_m_i_n_t ((nth_VEBT_VEBT treeList) (the_nat ((vEBT_vebt_succ summary) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))))))))) of role axiom named fact_6__C2_C
% 0.76/0.97 A new axiom: (((eq nat) ((vEBT_T_s_u_c_c ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat mi) ma))) deg) treeList) summary)) xa)) ((plus_plus_nat ((plus_plus_nat ((plus_plus_nat (numeral_numeral_nat (bit1 (bit0 (bit0 (bit0 one)))))) (vEBT_T_m_a_x_t ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))))) ((vEBT_T_s_u_c_c summary) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))))) (((if_nat (((eq option_nat) ((vEBT_vebt_succ summary) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) none_nat)) one_one_nat) ((plus_plus_nat (numeral_numeral_nat (bit0 (bit0 one)))) (vEBT_T_m_i_n_t ((nth_VEBT_VEBT treeList) (the_nat ((vEBT_vebt_succ summary) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))))))))))
% 0.76/0.97 FOF formula (forall (X2:nat) (Mi:nat) (Ma:nat) (Deg:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT), (((or (((eq nat) X2) Mi)) (((eq nat) X2) Ma))->(((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) Deg)->(((eq vEBT_VEBT) ((vEBT_vebt_insert ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary)) X2)) ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary))))) of role axiom named fact_7_insert__simp__mima
% 0.76/0.97 A new axiom: (forall (X2:nat) (Mi:nat) (Ma:nat) (Deg:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT), (((or (((eq nat) X2) Mi)) (((eq nat) X2) Ma))->(((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) Deg)->(((eq vEBT_VEBT) ((vEBT_vebt_insert ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary)) X2)) ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary)))))
% 0.76/0.97 FOF formula (((eq complex) ((plus_plus_complex one_one_complex) one_one_complex)) (numera6690914467698888265omplex (bit0 one))) of role axiom named fact_8_one__add__one
% 0.76/0.97 A new axiom: (((eq complex) ((plus_plus_complex one_one_complex) one_one_complex)) (numera6690914467698888265omplex (bit0 one)))
% 0.76/0.97 FOF formula (((eq real) ((plus_plus_real one_one_real) one_one_real)) (numeral_numeral_real (bit0 one))) of role axiom named fact_9_one__add__one
% 0.76/0.97 A new axiom: (((eq real) ((plus_plus_real one_one_real) one_one_real)) (numeral_numeral_real (bit0 one)))
% 0.76/0.97 FOF formula (((eq rat) ((plus_plus_rat one_one_rat) one_one_rat)) (numeral_numeral_rat (bit0 one))) of role axiom named fact_10_one__add__one
% 0.76/0.97 A new axiom: (((eq rat) ((plus_plus_rat one_one_rat) one_one_rat)) (numeral_numeral_rat (bit0 one)))
% 0.76/0.97 FOF formula (((eq nat) ((plus_plus_nat one_one_nat) one_one_nat)) (numeral_numeral_nat (bit0 one))) of role axiom named fact_11_one__add__one
% 0.76/0.97 A new axiom: (((eq nat) ((plus_plus_nat one_one_nat) one_one_nat)) (numeral_numeral_nat (bit0 one)))
% 0.76/0.97 FOF formula (((eq int) ((plus_plus_int one_one_int) one_one_int)) (numeral_numeral_int (bit0 one))) of role axiom named fact_12_one__add__one
% 0.76/0.97 A new axiom: (((eq int) ((plus_plus_int one_one_int) one_one_int)) (numeral_numeral_int (bit0 one)))
% 0.76/0.97 FOF formula (forall (N:num), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex N)) one_one_complex)) (numera6690914467698888265omplex ((plus_plus_num N) one)))) of role axiom named fact_13_numeral__plus__one
% 0.76/0.97 A new axiom: (forall (N:num), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex N)) one_one_complex)) (numera6690914467698888265omplex ((plus_plus_num N) one))))
% 0.76/0.97 FOF formula (forall (N:num), (((eq real) ((plus_plus_real (numeral_numeral_real N)) one_one_real)) (numeral_numeral_real ((plus_plus_num N) one)))) of role axiom named fact_14_numeral__plus__one
% 0.76/0.98 A new axiom: (forall (N:num), (((eq real) ((plus_plus_real (numeral_numeral_real N)) one_one_real)) (numeral_numeral_real ((plus_plus_num N) one))))
% 0.76/0.98 FOF formula (forall (N:num), (((eq rat) ((plus_plus_rat (numeral_numeral_rat N)) one_one_rat)) (numeral_numeral_rat ((plus_plus_num N) one)))) of role axiom named fact_15_numeral__plus__one
% 0.76/0.98 A new axiom: (forall (N:num), (((eq rat) ((plus_plus_rat (numeral_numeral_rat N)) one_one_rat)) (numeral_numeral_rat ((plus_plus_num N) one))))
% 0.76/0.98 FOF formula (forall (N:num), (((eq nat) ((plus_plus_nat (numeral_numeral_nat N)) one_one_nat)) (numeral_numeral_nat ((plus_plus_num N) one)))) of role axiom named fact_16_numeral__plus__one
% 0.76/0.98 A new axiom: (forall (N:num), (((eq nat) ((plus_plus_nat (numeral_numeral_nat N)) one_one_nat)) (numeral_numeral_nat ((plus_plus_num N) one))))
% 0.76/0.98 FOF formula (forall (N:num), (((eq int) ((plus_plus_int (numeral_numeral_int N)) one_one_int)) (numeral_numeral_int ((plus_plus_num N) one)))) of role axiom named fact_17_numeral__plus__one
% 0.76/0.98 A new axiom: (forall (N:num), (((eq int) ((plus_plus_int (numeral_numeral_int N)) one_one_int)) (numeral_numeral_int ((plus_plus_num N) one))))
% 0.76/0.98 FOF formula (forall (N:num), (((eq complex) ((plus_plus_complex one_one_complex) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((plus_plus_num one) N)))) of role axiom named fact_18_one__plus__numeral
% 0.76/0.98 A new axiom: (forall (N:num), (((eq complex) ((plus_plus_complex one_one_complex) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((plus_plus_num one) N))))
% 0.76/0.98 FOF formula (forall (N:num), (((eq real) ((plus_plus_real one_one_real) (numeral_numeral_real N))) (numeral_numeral_real ((plus_plus_num one) N)))) of role axiom named fact_19_one__plus__numeral
% 0.76/0.98 A new axiom: (forall (N:num), (((eq real) ((plus_plus_real one_one_real) (numeral_numeral_real N))) (numeral_numeral_real ((plus_plus_num one) N))))
% 0.76/0.98 FOF formula (forall (N:num), (((eq rat) ((plus_plus_rat one_one_rat) (numeral_numeral_rat N))) (numeral_numeral_rat ((plus_plus_num one) N)))) of role axiom named fact_20_one__plus__numeral
% 0.76/0.98 A new axiom: (forall (N:num), (((eq rat) ((plus_plus_rat one_one_rat) (numeral_numeral_rat N))) (numeral_numeral_rat ((plus_plus_num one) N))))
% 0.76/0.98 FOF formula (forall (N:num), (((eq nat) ((plus_plus_nat one_one_nat) (numeral_numeral_nat N))) (numeral_numeral_nat ((plus_plus_num one) N)))) of role axiom named fact_21_one__plus__numeral
% 0.76/0.98 A new axiom: (forall (N:num), (((eq nat) ((plus_plus_nat one_one_nat) (numeral_numeral_nat N))) (numeral_numeral_nat ((plus_plus_num one) N))))
% 0.76/0.98 FOF formula (forall (N:num), (((eq int) ((plus_plus_int one_one_int) (numeral_numeral_int N))) (numeral_numeral_int ((plus_plus_num one) N)))) of role axiom named fact_22_one__plus__numeral
% 0.76/0.98 A new axiom: (forall (N:num), (((eq int) ((plus_plus_int one_one_int) (numeral_numeral_int N))) (numeral_numeral_int ((plus_plus_num one) N))))
% 0.76/0.98 FOF formula (forall (N:num), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real N)) one_one_real)) ((ord_less_eq_num N) one))) of role axiom named fact_23_numeral__le__one__iff
% 0.76/0.98 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real N)) one_one_real)) ((ord_less_eq_num N) one)))
% 0.76/0.98 FOF formula (forall (N:num), (((eq Prop) ((ord_less_eq_rat (numeral_numeral_rat N)) one_one_rat)) ((ord_less_eq_num N) one))) of role axiom named fact_24_numeral__le__one__iff
% 0.76/0.98 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_eq_rat (numeral_numeral_rat N)) one_one_rat)) ((ord_less_eq_num N) one)))
% 0.76/0.98 FOF formula (forall (N:num), (((eq Prop) ((ord_less_eq_nat (numeral_numeral_nat N)) one_one_nat)) ((ord_less_eq_num N) one))) of role axiom named fact_25_numeral__le__one__iff
% 0.76/0.98 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_eq_nat (numeral_numeral_nat N)) one_one_nat)) ((ord_less_eq_num N) one)))
% 0.76/0.98 FOF formula (forall (N:num), (((eq Prop) ((ord_less_eq_int (numeral_numeral_int N)) one_one_int)) ((ord_less_eq_num N) one))) of role axiom named fact_26_numeral__le__one__iff
% 0.76/0.98 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_eq_int (numeral_numeral_int N)) one_one_int)) ((ord_less_eq_num N) one)))
% 0.76/0.98 FOF formula (forall (Mi:nat) (Ma:nat) (Ux:nat) (Uy:list_VEBT_VEBT) (Uz:vEBT_VEBT), (((eq nat) (vEBT_T_m_a_x_t ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Ux) Uy) Uz))) one_one_nat)) of role axiom named fact_27_T_092_060_094sub_062m_092_060_094sub_062a_092_060_094sub_062x_092_060_094sub_062t_Osimps_I3_J
% 0.76/0.98 A new axiom: (forall (Mi:nat) (Ma:nat) (Ux:nat) (Uy:list_VEBT_VEBT) (Uz:vEBT_VEBT), (((eq nat) (vEBT_T_m_a_x_t ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Ux) Uy) Uz))) one_one_nat))
% 0.76/0.98 FOF formula (forall (Mi:nat) (Ma:nat) (Ux:nat) (Uy:list_VEBT_VEBT) (Uz:vEBT_VEBT), (((eq nat) (vEBT_T_m_i_n_t ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Ux) Uy) Uz))) one_one_nat)) of role axiom named fact_28_T_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062t_Osimps_I3_J
% 0.76/0.98 A new axiom: (forall (Mi:nat) (Ma:nat) (Ux:nat) (Uy:list_VEBT_VEBT) (Uz:vEBT_VEBT), (((eq nat) (vEBT_T_m_i_n_t ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Ux) Uy) Uz))) one_one_nat))
% 0.76/0.98 FOF formula (forall (T:vEBT_VEBT), ((ord_less_eq_nat (vEBT_T_m_a_x_t T)) (numeral_numeral_nat (bit1 one)))) of role axiom named fact_29_maxt__bound
% 0.76/0.98 A new axiom: (forall (T:vEBT_VEBT), ((ord_less_eq_nat (vEBT_T_m_a_x_t T)) (numeral_numeral_nat (bit1 one))))
% 0.76/0.98 FOF formula (forall (T:vEBT_VEBT), ((ord_less_eq_nat (vEBT_T_m_i_n_t T)) (numeral_numeral_nat (bit1 one)))) of role axiom named fact_30_mint__bound
% 0.76/0.98 A new axiom: (forall (T:vEBT_VEBT), ((ord_less_eq_nat (vEBT_T_m_i_n_t T)) (numeral_numeral_nat (bit1 one))))
% 0.76/0.98 FOF formula (forall (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex N)) one_one_complex)) (((eq num) N) one))) of role axiom named fact_31_numeral__eq__one__iff
% 0.76/0.98 A new axiom: (forall (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex N)) one_one_complex)) (((eq num) N) one)))
% 0.76/0.98 FOF formula (forall (N:num), (((eq Prop) (((eq real) (numeral_numeral_real N)) one_one_real)) (((eq num) N) one))) of role axiom named fact_32_numeral__eq__one__iff
% 0.76/0.98 A new axiom: (forall (N:num), (((eq Prop) (((eq real) (numeral_numeral_real N)) one_one_real)) (((eq num) N) one)))
% 0.76/0.98 FOF formula (forall (N:num), (((eq Prop) (((eq rat) (numeral_numeral_rat N)) one_one_rat)) (((eq num) N) one))) of role axiom named fact_33_numeral__eq__one__iff
% 0.76/0.98 A new axiom: (forall (N:num), (((eq Prop) (((eq rat) (numeral_numeral_rat N)) one_one_rat)) (((eq num) N) one)))
% 0.76/0.98 FOF formula (forall (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat N)) one_one_nat)) (((eq num) N) one))) of role axiom named fact_34_numeral__eq__one__iff
% 0.76/0.98 A new axiom: (forall (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat N)) one_one_nat)) (((eq num) N) one)))
% 0.76/0.98 FOF formula (forall (N:num), (((eq Prop) (((eq int) (numeral_numeral_int N)) one_one_int)) (((eq num) N) one))) of role axiom named fact_35_numeral__eq__one__iff
% 0.76/0.98 A new axiom: (forall (N:num), (((eq Prop) (((eq int) (numeral_numeral_int N)) one_one_int)) (((eq num) N) one)))
% 0.76/0.98 FOF formula (forall (N:num), (((eq Prop) (((eq complex) one_one_complex) (numera6690914467698888265omplex N))) (((eq num) one) N))) of role axiom named fact_36_one__eq__numeral__iff
% 0.76/0.98 A new axiom: (forall (N:num), (((eq Prop) (((eq complex) one_one_complex) (numera6690914467698888265omplex N))) (((eq num) one) N)))
% 0.76/0.98 FOF formula (forall (N:num), (((eq Prop) (((eq real) one_one_real) (numeral_numeral_real N))) (((eq num) one) N))) of role axiom named fact_37_one__eq__numeral__iff
% 0.76/0.98 A new axiom: (forall (N:num), (((eq Prop) (((eq real) one_one_real) (numeral_numeral_real N))) (((eq num) one) N)))
% 0.76/0.98 FOF formula (forall (N:num), (((eq Prop) (((eq rat) one_one_rat) (numeral_numeral_rat N))) (((eq num) one) N))) of role axiom named fact_38_one__eq__numeral__iff
% 0.76/0.98 A new axiom: (forall (N:num), (((eq Prop) (((eq rat) one_one_rat) (numeral_numeral_rat N))) (((eq num) one) N)))
% 0.76/0.98 FOF formula (forall (N:num), (((eq Prop) (((eq nat) one_one_nat) (numeral_numeral_nat N))) (((eq num) one) N))) of role axiom named fact_39_one__eq__numeral__iff
% 0.76/0.99 A new axiom: (forall (N:num), (((eq Prop) (((eq nat) one_one_nat) (numeral_numeral_nat N))) (((eq num) one) N)))
% 0.76/0.99 FOF formula (forall (N:num), (((eq Prop) (((eq int) one_one_int) (numeral_numeral_int N))) (((eq num) one) N))) of role axiom named fact_40_one__eq__numeral__iff
% 0.76/0.99 A new axiom: (forall (N:num), (((eq Prop) (((eq int) one_one_int) (numeral_numeral_int N))) (((eq num) one) N)))
% 0.76/0.99 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (((eq num) M) N))) of role axiom named fact_41_numeral__eq__iff
% 0.76/0.99 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (((eq num) M) N)))
% 0.76/0.99 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq real) (numeral_numeral_real M)) (numeral_numeral_real N))) (((eq num) M) N))) of role axiom named fact_42_numeral__eq__iff
% 0.76/0.99 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq real) (numeral_numeral_real M)) (numeral_numeral_real N))) (((eq num) M) N)))
% 0.76/0.99 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq rat) (numeral_numeral_rat M)) (numeral_numeral_rat N))) (((eq num) M) N))) of role axiom named fact_43_numeral__eq__iff
% 0.76/0.99 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq rat) (numeral_numeral_rat M)) (numeral_numeral_rat N))) (((eq num) M) N)))
% 0.76/0.99 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat M)) (numeral_numeral_nat N))) (((eq num) M) N))) of role axiom named fact_44_numeral__eq__iff
% 0.76/0.99 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat M)) (numeral_numeral_nat N))) (((eq num) M) N)))
% 0.76/0.99 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq int) (numeral_numeral_int M)) (numeral_numeral_int N))) (((eq num) M) N))) of role axiom named fact_45_numeral__eq__iff
% 0.76/0.99 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq int) (numeral_numeral_int M)) (numeral_numeral_int N))) (((eq num) M) N)))
% 0.76/0.99 FOF formula (forall (V:num) (W:num) (Z:complex), (((eq complex) ((times_times_complex (numera6690914467698888265omplex V)) ((times_times_complex (numera6690914467698888265omplex W)) Z))) ((times_times_complex (numera6690914467698888265omplex ((times_times_num V) W))) Z))) of role axiom named fact_46_mult__numeral__left__semiring__numeral
% 0.76/0.99 A new axiom: (forall (V:num) (W:num) (Z:complex), (((eq complex) ((times_times_complex (numera6690914467698888265omplex V)) ((times_times_complex (numera6690914467698888265omplex W)) Z))) ((times_times_complex (numera6690914467698888265omplex ((times_times_num V) W))) Z)))
% 0.76/0.99 FOF formula (forall (V:num) (W:num) (Z:real), (((eq real) ((times_times_real (numeral_numeral_real V)) ((times_times_real (numeral_numeral_real W)) Z))) ((times_times_real (numeral_numeral_real ((times_times_num V) W))) Z))) of role axiom named fact_47_mult__numeral__left__semiring__numeral
% 0.76/0.99 A new axiom: (forall (V:num) (W:num) (Z:real), (((eq real) ((times_times_real (numeral_numeral_real V)) ((times_times_real (numeral_numeral_real W)) Z))) ((times_times_real (numeral_numeral_real ((times_times_num V) W))) Z)))
% 0.76/0.99 FOF formula (forall (V:num) (W:num) (Z:rat), (((eq rat) ((times_times_rat (numeral_numeral_rat V)) ((times_times_rat (numeral_numeral_rat W)) Z))) ((times_times_rat (numeral_numeral_rat ((times_times_num V) W))) Z))) of role axiom named fact_48_mult__numeral__left__semiring__numeral
% 0.76/0.99 A new axiom: (forall (V:num) (W:num) (Z:rat), (((eq rat) ((times_times_rat (numeral_numeral_rat V)) ((times_times_rat (numeral_numeral_rat W)) Z))) ((times_times_rat (numeral_numeral_rat ((times_times_num V) W))) Z)))
% 0.76/0.99 FOF formula (forall (V:num) (W:num) (Z:nat), (((eq nat) ((times_times_nat (numeral_numeral_nat V)) ((times_times_nat (numeral_numeral_nat W)) Z))) ((times_times_nat (numeral_numeral_nat ((times_times_num V) W))) Z))) of role axiom named fact_49_mult__numeral__left__semiring__numeral
% 0.76/0.99 A new axiom: (forall (V:num) (W:num) (Z:nat), (((eq nat) ((times_times_nat (numeral_numeral_nat V)) ((times_times_nat (numeral_numeral_nat W)) Z))) ((times_times_nat (numeral_numeral_nat ((times_times_num V) W))) Z)))
% 0.76/1.00 FOF formula (forall (V:num) (W:num) (Z:int), (((eq int) ((times_times_int (numeral_numeral_int V)) ((times_times_int (numeral_numeral_int W)) Z))) ((times_times_int (numeral_numeral_int ((times_times_num V) W))) Z))) of role axiom named fact_50_mult__numeral__left__semiring__numeral
% 0.76/1.00 A new axiom: (forall (V:num) (W:num) (Z:int), (((eq int) ((times_times_int (numeral_numeral_int V)) ((times_times_int (numeral_numeral_int W)) Z))) ((times_times_int (numeral_numeral_int ((times_times_num V) W))) Z)))
% 0.76/1.00 FOF formula (forall (M:num) (N:num), (((eq complex) ((times_times_complex (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((times_times_num M) N)))) of role axiom named fact_51_numeral__times__numeral
% 0.76/1.00 A new axiom: (forall (M:num) (N:num), (((eq complex) ((times_times_complex (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((times_times_num M) N))))
% 0.76/1.00 FOF formula (forall (M:num) (N:num), (((eq real) ((times_times_real (numeral_numeral_real M)) (numeral_numeral_real N))) (numeral_numeral_real ((times_times_num M) N)))) of role axiom named fact_52_numeral__times__numeral
% 0.76/1.00 A new axiom: (forall (M:num) (N:num), (((eq real) ((times_times_real (numeral_numeral_real M)) (numeral_numeral_real N))) (numeral_numeral_real ((times_times_num M) N))))
% 0.76/1.00 FOF formula (forall (M:num) (N:num), (((eq rat) ((times_times_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) (numeral_numeral_rat ((times_times_num M) N)))) of role axiom named fact_53_numeral__times__numeral
% 0.76/1.00 A new axiom: (forall (M:num) (N:num), (((eq rat) ((times_times_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) (numeral_numeral_rat ((times_times_num M) N))))
% 0.76/1.00 FOF formula (forall (M:num) (N:num), (((eq nat) ((times_times_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) (numeral_numeral_nat ((times_times_num M) N)))) of role axiom named fact_54_numeral__times__numeral
% 0.76/1.00 A new axiom: (forall (M:num) (N:num), (((eq nat) ((times_times_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) (numeral_numeral_nat ((times_times_num M) N))))
% 0.76/1.00 FOF formula (forall (M:num) (N:num), (((eq int) ((times_times_int (numeral_numeral_int M)) (numeral_numeral_int N))) (numeral_numeral_int ((times_times_num M) N)))) of role axiom named fact_55_numeral__times__numeral
% 0.76/1.00 A new axiom: (forall (M:num) (N:num), (((eq int) ((times_times_int (numeral_numeral_int M)) (numeral_numeral_int N))) (numeral_numeral_int ((times_times_num M) N))))
% 0.76/1.00 FOF formula (forall (A:complex) (B:complex) (V:num), (((eq complex) ((times_times_complex ((plus_plus_complex A) B)) (numera6690914467698888265omplex V))) ((plus_plus_complex ((times_times_complex A) (numera6690914467698888265omplex V))) ((times_times_complex B) (numera6690914467698888265omplex V))))) of role axiom named fact_56_distrib__right__numeral
% 0.76/1.00 A new axiom: (forall (A:complex) (B:complex) (V:num), (((eq complex) ((times_times_complex ((plus_plus_complex A) B)) (numera6690914467698888265omplex V))) ((plus_plus_complex ((times_times_complex A) (numera6690914467698888265omplex V))) ((times_times_complex B) (numera6690914467698888265omplex V)))))
% 0.76/1.00 FOF formula (forall (A:real) (B:real) (V:num), (((eq real) ((times_times_real ((plus_plus_real A) B)) (numeral_numeral_real V))) ((plus_plus_real ((times_times_real A) (numeral_numeral_real V))) ((times_times_real B) (numeral_numeral_real V))))) of role axiom named fact_57_distrib__right__numeral
% 0.76/1.00 A new axiom: (forall (A:real) (B:real) (V:num), (((eq real) ((times_times_real ((plus_plus_real A) B)) (numeral_numeral_real V))) ((plus_plus_real ((times_times_real A) (numeral_numeral_real V))) ((times_times_real B) (numeral_numeral_real V)))))
% 0.76/1.00 FOF formula (forall (A:rat) (B:rat) (V:num), (((eq rat) ((times_times_rat ((plus_plus_rat A) B)) (numeral_numeral_rat V))) ((plus_plus_rat ((times_times_rat A) (numeral_numeral_rat V))) ((times_times_rat B) (numeral_numeral_rat V))))) of role axiom named fact_58_distrib__right__numeral
% 0.76/1.00 A new axiom: (forall (A:rat) (B:rat) (V:num), (((eq rat) ((times_times_rat ((plus_plus_rat A) B)) (numeral_numeral_rat V))) ((plus_plus_rat ((times_times_rat A) (numeral_numeral_rat V))) ((times_times_rat B) (numeral_numeral_rat V)))))
% 0.84/1.01 FOF formula (forall (A:nat) (B:nat) (V:num), (((eq nat) ((times_times_nat ((plus_plus_nat A) B)) (numeral_numeral_nat V))) ((plus_plus_nat ((times_times_nat A) (numeral_numeral_nat V))) ((times_times_nat B) (numeral_numeral_nat V))))) of role axiom named fact_59_distrib__right__numeral
% 0.84/1.01 A new axiom: (forall (A:nat) (B:nat) (V:num), (((eq nat) ((times_times_nat ((plus_plus_nat A) B)) (numeral_numeral_nat V))) ((plus_plus_nat ((times_times_nat A) (numeral_numeral_nat V))) ((times_times_nat B) (numeral_numeral_nat V)))))
% 0.84/1.01 FOF formula (forall (A:int) (B:int) (V:num), (((eq int) ((times_times_int ((plus_plus_int A) B)) (numeral_numeral_int V))) ((plus_plus_int ((times_times_int A) (numeral_numeral_int V))) ((times_times_int B) (numeral_numeral_int V))))) of role axiom named fact_60_distrib__right__numeral
% 0.84/1.01 A new axiom: (forall (A:int) (B:int) (V:num), (((eq int) ((times_times_int ((plus_plus_int A) B)) (numeral_numeral_int V))) ((plus_plus_int ((times_times_int A) (numeral_numeral_int V))) ((times_times_int B) (numeral_numeral_int V)))))
% 0.84/1.01 FOF formula (forall (V:num) (B:complex) (C:complex), (((eq complex) ((times_times_complex (numera6690914467698888265omplex V)) ((plus_plus_complex B) C))) ((plus_plus_complex ((times_times_complex (numera6690914467698888265omplex V)) B)) ((times_times_complex (numera6690914467698888265omplex V)) C)))) of role axiom named fact_61_distrib__left__numeral
% 0.84/1.01 A new axiom: (forall (V:num) (B:complex) (C:complex), (((eq complex) ((times_times_complex (numera6690914467698888265omplex V)) ((plus_plus_complex B) C))) ((plus_plus_complex ((times_times_complex (numera6690914467698888265omplex V)) B)) ((times_times_complex (numera6690914467698888265omplex V)) C))))
% 0.84/1.01 FOF formula (forall (V:num) (B:real) (C:real), (((eq real) ((times_times_real (numeral_numeral_real V)) ((plus_plus_real B) C))) ((plus_plus_real ((times_times_real (numeral_numeral_real V)) B)) ((times_times_real (numeral_numeral_real V)) C)))) of role axiom named fact_62_distrib__left__numeral
% 0.84/1.01 A new axiom: (forall (V:num) (B:real) (C:real), (((eq real) ((times_times_real (numeral_numeral_real V)) ((plus_plus_real B) C))) ((plus_plus_real ((times_times_real (numeral_numeral_real V)) B)) ((times_times_real (numeral_numeral_real V)) C))))
% 0.84/1.01 FOF formula (forall (V:num) (B:rat) (C:rat), (((eq rat) ((times_times_rat (numeral_numeral_rat V)) ((plus_plus_rat B) C))) ((plus_plus_rat ((times_times_rat (numeral_numeral_rat V)) B)) ((times_times_rat (numeral_numeral_rat V)) C)))) of role axiom named fact_63_distrib__left__numeral
% 0.84/1.01 A new axiom: (forall (V:num) (B:rat) (C:rat), (((eq rat) ((times_times_rat (numeral_numeral_rat V)) ((plus_plus_rat B) C))) ((plus_plus_rat ((times_times_rat (numeral_numeral_rat V)) B)) ((times_times_rat (numeral_numeral_rat V)) C))))
% 0.84/1.01 FOF formula (forall (V:num) (B:nat) (C:nat), (((eq nat) ((times_times_nat (numeral_numeral_nat V)) ((plus_plus_nat B) C))) ((plus_plus_nat ((times_times_nat (numeral_numeral_nat V)) B)) ((times_times_nat (numeral_numeral_nat V)) C)))) of role axiom named fact_64_distrib__left__numeral
% 0.84/1.01 A new axiom: (forall (V:num) (B:nat) (C:nat), (((eq nat) ((times_times_nat (numeral_numeral_nat V)) ((plus_plus_nat B) C))) ((plus_plus_nat ((times_times_nat (numeral_numeral_nat V)) B)) ((times_times_nat (numeral_numeral_nat V)) C))))
% 0.84/1.01 FOF formula (forall (V:num) (B:int) (C:int), (((eq int) ((times_times_int (numeral_numeral_int V)) ((plus_plus_int B) C))) ((plus_plus_int ((times_times_int (numeral_numeral_int V)) B)) ((times_times_int (numeral_numeral_int V)) C)))) of role axiom named fact_65_distrib__left__numeral
% 0.84/1.01 A new axiom: (forall (V:num) (B:int) (C:int), (((eq int) ((times_times_int (numeral_numeral_int V)) ((plus_plus_int B) C))) ((plus_plus_int ((times_times_int (numeral_numeral_int V)) B)) ((times_times_int (numeral_numeral_int V)) C))))
% 0.84/1.01 FOF formula (forall (V:num) (W:num) (Z:complex), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex V)) ((plus_plus_complex (numera6690914467698888265omplex W)) Z))) ((plus_plus_complex (numera6690914467698888265omplex ((plus_plus_num V) W))) Z))) of role axiom named fact_66_add__numeral__left
% 0.84/1.02 A new axiom: (forall (V:num) (W:num) (Z:complex), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex V)) ((plus_plus_complex (numera6690914467698888265omplex W)) Z))) ((plus_plus_complex (numera6690914467698888265omplex ((plus_plus_num V) W))) Z)))
% 0.84/1.02 FOF formula (forall (V:num) (W:num) (Z:real), (((eq real) ((plus_plus_real (numeral_numeral_real V)) ((plus_plus_real (numeral_numeral_real W)) Z))) ((plus_plus_real (numeral_numeral_real ((plus_plus_num V) W))) Z))) of role axiom named fact_67_add__numeral__left
% 0.84/1.02 A new axiom: (forall (V:num) (W:num) (Z:real), (((eq real) ((plus_plus_real (numeral_numeral_real V)) ((plus_plus_real (numeral_numeral_real W)) Z))) ((plus_plus_real (numeral_numeral_real ((plus_plus_num V) W))) Z)))
% 0.84/1.02 FOF formula (forall (V:num) (W:num) (Z:rat), (((eq rat) ((plus_plus_rat (numeral_numeral_rat V)) ((plus_plus_rat (numeral_numeral_rat W)) Z))) ((plus_plus_rat (numeral_numeral_rat ((plus_plus_num V) W))) Z))) of role axiom named fact_68_add__numeral__left
% 0.84/1.02 A new axiom: (forall (V:num) (W:num) (Z:rat), (((eq rat) ((plus_plus_rat (numeral_numeral_rat V)) ((plus_plus_rat (numeral_numeral_rat W)) Z))) ((plus_plus_rat (numeral_numeral_rat ((plus_plus_num V) W))) Z)))
% 0.84/1.02 FOF formula (forall (V:num) (W:num) (Z:nat), (((eq nat) ((plus_plus_nat (numeral_numeral_nat V)) ((plus_plus_nat (numeral_numeral_nat W)) Z))) ((plus_plus_nat (numeral_numeral_nat ((plus_plus_num V) W))) Z))) of role axiom named fact_69_add__numeral__left
% 0.84/1.02 A new axiom: (forall (V:num) (W:num) (Z:nat), (((eq nat) ((plus_plus_nat (numeral_numeral_nat V)) ((plus_plus_nat (numeral_numeral_nat W)) Z))) ((plus_plus_nat (numeral_numeral_nat ((plus_plus_num V) W))) Z)))
% 0.84/1.02 FOF formula (forall (V:num) (W:num) (Z:int), (((eq int) ((plus_plus_int (numeral_numeral_int V)) ((plus_plus_int (numeral_numeral_int W)) Z))) ((plus_plus_int (numeral_numeral_int ((plus_plus_num V) W))) Z))) of role axiom named fact_70_add__numeral__left
% 0.84/1.02 A new axiom: (forall (V:num) (W:num) (Z:int), (((eq int) ((plus_plus_int (numeral_numeral_int V)) ((plus_plus_int (numeral_numeral_int W)) Z))) ((plus_plus_int (numeral_numeral_int ((plus_plus_num V) W))) Z)))
% 0.84/1.02 FOF formula (forall (M:num) (N:num), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((plus_plus_num M) N)))) of role axiom named fact_71_numeral__plus__numeral
% 0.84/1.02 A new axiom: (forall (M:num) (N:num), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((plus_plus_num M) N))))
% 0.84/1.02 FOF formula (forall (M:num) (N:num), (((eq real) ((plus_plus_real (numeral_numeral_real M)) (numeral_numeral_real N))) (numeral_numeral_real ((plus_plus_num M) N)))) of role axiom named fact_72_numeral__plus__numeral
% 0.84/1.02 A new axiom: (forall (M:num) (N:num), (((eq real) ((plus_plus_real (numeral_numeral_real M)) (numeral_numeral_real N))) (numeral_numeral_real ((plus_plus_num M) N))))
% 0.84/1.02 FOF formula (forall (M:num) (N:num), (((eq rat) ((plus_plus_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) (numeral_numeral_rat ((plus_plus_num M) N)))) of role axiom named fact_73_numeral__plus__numeral
% 0.84/1.02 A new axiom: (forall (M:num) (N:num), (((eq rat) ((plus_plus_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) (numeral_numeral_rat ((plus_plus_num M) N))))
% 0.84/1.02 FOF formula (forall (M:num) (N:num), (((eq nat) ((plus_plus_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) (numeral_numeral_nat ((plus_plus_num M) N)))) of role axiom named fact_74_numeral__plus__numeral
% 0.84/1.02 A new axiom: (forall (M:num) (N:num), (((eq nat) ((plus_plus_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) (numeral_numeral_nat ((plus_plus_num M) N))))
% 0.84/1.02 FOF formula (forall (M:num) (N:num), (((eq int) ((plus_plus_int (numeral_numeral_int M)) (numeral_numeral_int N))) (numeral_numeral_int ((plus_plus_num M) N)))) of role axiom named fact_75_numeral__plus__numeral
% 0.84/1.02 A new axiom: (forall (M:num) (N:num), (((eq int) ((plus_plus_int (numeral_numeral_int M)) (numeral_numeral_int N))) (numeral_numeral_int ((plus_plus_num M) N))))
% 0.84/1.02 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real M)) (numeral_numeral_real N))) ((ord_less_eq_num M) N))) of role axiom named fact_76_numeral__le__iff
% 0.84/1.02 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real M)) (numeral_numeral_real N))) ((ord_less_eq_num M) N)))
% 0.84/1.02 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) ((ord_less_eq_num M) N))) of role axiom named fact_77_numeral__le__iff
% 0.84/1.02 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) ((ord_less_eq_num M) N)))
% 0.84/1.02 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) ((ord_less_eq_num M) N))) of role axiom named fact_78_numeral__le__iff
% 0.84/1.02 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) ((ord_less_eq_num M) N)))
% 0.84/1.02 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_int (numeral_numeral_int M)) (numeral_numeral_int N))) ((ord_less_eq_num M) N))) of role axiom named fact_79_numeral__le__iff
% 0.84/1.02 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_int (numeral_numeral_int M)) (numeral_numeral_int N))) ((ord_less_eq_num M) N)))
% 0.84/1.02 FOF formula (forall (A:real) (B:real) (W:num), (((eq Prop) ((ord_less_eq_real A) ((divide_divide_real B) (numeral_numeral_real W)))) ((ord_less_eq_real ((times_times_real A) (numeral_numeral_real W))) B))) of role axiom named fact_80_le__divide__eq__numeral1_I1_J
% 0.84/1.02 A new axiom: (forall (A:real) (B:real) (W:num), (((eq Prop) ((ord_less_eq_real A) ((divide_divide_real B) (numeral_numeral_real W)))) ((ord_less_eq_real ((times_times_real A) (numeral_numeral_real W))) B)))
% 0.84/1.02 FOF formula (forall (A:rat) (B:rat) (W:num), (((eq Prop) ((ord_less_eq_rat A) ((divide_divide_rat B) (numeral_numeral_rat W)))) ((ord_less_eq_rat ((times_times_rat A) (numeral_numeral_rat W))) B))) of role axiom named fact_81_le__divide__eq__numeral1_I1_J
% 0.84/1.02 A new axiom: (forall (A:rat) (B:rat) (W:num), (((eq Prop) ((ord_less_eq_rat A) ((divide_divide_rat B) (numeral_numeral_rat W)))) ((ord_less_eq_rat ((times_times_rat A) (numeral_numeral_rat W))) B)))
% 0.84/1.02 FOF formula (forall (B:real) (W:num) (A:real), (((eq Prop) ((ord_less_eq_real ((divide_divide_real B) (numeral_numeral_real W))) A)) ((ord_less_eq_real B) ((times_times_real A) (numeral_numeral_real W))))) of role axiom named fact_82_divide__le__eq__numeral1_I1_J
% 0.84/1.02 A new axiom: (forall (B:real) (W:num) (A:real), (((eq Prop) ((ord_less_eq_real ((divide_divide_real B) (numeral_numeral_real W))) A)) ((ord_less_eq_real B) ((times_times_real A) (numeral_numeral_real W)))))
% 0.84/1.02 FOF formula (forall (B:rat) (W:num) (A:rat), (((eq Prop) ((ord_less_eq_rat ((divide_divide_rat B) (numeral_numeral_rat W))) A)) ((ord_less_eq_rat B) ((times_times_rat A) (numeral_numeral_rat W))))) of role axiom named fact_83_divide__le__eq__numeral1_I1_J
% 0.84/1.02 A new axiom: (forall (B:rat) (W:num) (A:rat), (((eq Prop) ((ord_less_eq_rat ((divide_divide_rat B) (numeral_numeral_rat W))) A)) ((ord_less_eq_rat B) ((times_times_rat A) (numeral_numeral_rat W)))))
% 0.84/1.02 FOF formula (forall (N:num), (((eq num) ((plus_plus_num one) N)) ((plus_plus_num N) one))) of role axiom named fact_84_add__One__commute
% 0.84/1.02 A new axiom: (forall (N:num), (((eq num) ((plus_plus_num one) N)) ((plus_plus_num N) one)))
% 0.84/1.02 FOF formula (forall (X2:num), (((eq Prop) ((ord_less_eq_num X2) one)) (((eq num) X2) one))) of role axiom named fact_85_le__num__One__iff
% 0.84/1.02 A new axiom: (forall (X2:num), (((eq Prop) ((ord_less_eq_num X2) one)) (((eq num) X2) one)))
% 0.84/1.02 FOF formula (forall (A:real) (B:real) (C:real), (((eq real) ((plus_plus_real ((plus_plus_real A) B)) C)) ((plus_plus_real A) ((plus_plus_real B) C)))) of role axiom named fact_86_is__num__normalize_I1_J
% 0.84/1.03 A new axiom: (forall (A:real) (B:real) (C:real), (((eq real) ((plus_plus_real ((plus_plus_real A) B)) C)) ((plus_plus_real A) ((plus_plus_real B) C))))
% 0.84/1.03 FOF formula (forall (A:rat) (B:rat) (C:rat), (((eq rat) ((plus_plus_rat ((plus_plus_rat A) B)) C)) ((plus_plus_rat A) ((plus_plus_rat B) C)))) of role axiom named fact_87_is__num__normalize_I1_J
% 0.84/1.03 A new axiom: (forall (A:rat) (B:rat) (C:rat), (((eq rat) ((plus_plus_rat ((plus_plus_rat A) B)) C)) ((plus_plus_rat A) ((plus_plus_rat B) C))))
% 0.84/1.03 FOF formula (forall (A:int) (B:int) (C:int), (((eq int) ((plus_plus_int ((plus_plus_int A) B)) C)) ((plus_plus_int A) ((plus_plus_int B) C)))) of role axiom named fact_88_is__num__normalize_I1_J
% 0.84/1.03 A new axiom: (forall (A:int) (B:int) (C:int), (((eq int) ((plus_plus_int ((plus_plus_int A) B)) C)) ((plus_plus_int A) ((plus_plus_int B) C))))
% 0.84/1.03 FOF formula (forall (A:complex) (B:complex) (C:complex), (((eq complex) ((plus_plus_complex ((plus_plus_complex A) B)) C)) ((plus_plus_complex A) ((plus_plus_complex B) C)))) of role axiom named fact_89_is__num__normalize_I1_J
% 0.84/1.03 A new axiom: (forall (A:complex) (B:complex) (C:complex), (((eq complex) ((plus_plus_complex ((plus_plus_complex A) B)) C)) ((plus_plus_complex A) ((plus_plus_complex B) C))))
% 0.84/1.03 FOF formula (forall (A:complex), (((eq complex) ((divide1717551699836669952omplex A) (numera6690914467698888265omplex one))) A)) of role axiom named fact_90_divide__numeral__1
% 0.84/1.03 A new axiom: (forall (A:complex), (((eq complex) ((divide1717551699836669952omplex A) (numera6690914467698888265omplex one))) A))
% 0.84/1.03 FOF formula (forall (A:real), (((eq real) ((divide_divide_real A) (numeral_numeral_real one))) A)) of role axiom named fact_91_divide__numeral__1
% 0.84/1.03 A new axiom: (forall (A:real), (((eq real) ((divide_divide_real A) (numeral_numeral_real one))) A))
% 0.84/1.03 FOF formula (forall (A:rat), (((eq rat) ((divide_divide_rat A) (numeral_numeral_rat one))) A)) of role axiom named fact_92_divide__numeral__1
% 0.84/1.03 A new axiom: (forall (A:rat), (((eq rat) ((divide_divide_rat A) (numeral_numeral_rat one))) A))
% 0.84/1.03 FOF formula ((ord_less_eq_real one_one_real) one_one_real) of role axiom named fact_93_le__numeral__extra_I4_J
% 0.84/1.03 A new axiom: ((ord_less_eq_real one_one_real) one_one_real)
% 0.84/1.03 FOF formula ((ord_less_eq_rat one_one_rat) one_one_rat) of role axiom named fact_94_le__numeral__extra_I4_J
% 0.84/1.03 A new axiom: ((ord_less_eq_rat one_one_rat) one_one_rat)
% 0.84/1.03 FOF formula ((ord_less_eq_nat one_one_nat) one_one_nat) of role axiom named fact_95_le__numeral__extra_I4_J
% 0.84/1.03 A new axiom: ((ord_less_eq_nat one_one_nat) one_one_nat)
% 0.84/1.03 FOF formula ((ord_less_eq_int one_one_int) one_one_int) of role axiom named fact_96_le__numeral__extra_I4_J
% 0.84/1.03 A new axiom: ((ord_less_eq_int one_one_int) one_one_int)
% 0.84/1.03 FOF formula (forall (N:num), ((ord_less_eq_real one_one_real) (numeral_numeral_real N))) of role axiom named fact_97_one__le__numeral
% 0.84/1.03 A new axiom: (forall (N:num), ((ord_less_eq_real one_one_real) (numeral_numeral_real N)))
% 0.84/1.03 FOF formula (forall (N:num), ((ord_less_eq_rat one_one_rat) (numeral_numeral_rat N))) of role axiom named fact_98_one__le__numeral
% 0.84/1.03 A new axiom: (forall (N:num), ((ord_less_eq_rat one_one_rat) (numeral_numeral_rat N)))
% 0.84/1.03 FOF formula (forall (N:num), ((ord_less_eq_nat one_one_nat) (numeral_numeral_nat N))) of role axiom named fact_99_one__le__numeral
% 0.84/1.03 A new axiom: (forall (N:num), ((ord_less_eq_nat one_one_nat) (numeral_numeral_nat N)))
% 0.84/1.03 FOF formula (forall (N:num), ((ord_less_eq_int one_one_int) (numeral_numeral_int N))) of role axiom named fact_100_one__le__numeral
% 0.84/1.03 A new axiom: (forall (N:num), ((ord_less_eq_int one_one_int) (numeral_numeral_int N)))
% 0.84/1.03 FOF formula (forall (A:complex), (((eq complex) ((times_times_complex A) (numera6690914467698888265omplex one))) A)) of role axiom named fact_101_mult__numeral__1__right
% 0.84/1.03 A new axiom: (forall (A:complex), (((eq complex) ((times_times_complex A) (numera6690914467698888265omplex one))) A))
% 0.84/1.03 FOF formula (forall (A:real), (((eq real) ((times_times_real A) (numeral_numeral_real one))) A)) of role axiom named fact_102_mult__numeral__1__right
% 0.84/1.03 A new axiom: (forall (A:real), (((eq real) ((times_times_real A) (numeral_numeral_real one))) A))
% 0.84/1.04 FOF formula (forall (A:rat), (((eq rat) ((times_times_rat A) (numeral_numeral_rat one))) A)) of role axiom named fact_103_mult__numeral__1__right
% 0.84/1.04 A new axiom: (forall (A:rat), (((eq rat) ((times_times_rat A) (numeral_numeral_rat one))) A))
% 0.84/1.04 FOF formula (forall (A:nat), (((eq nat) ((times_times_nat A) (numeral_numeral_nat one))) A)) of role axiom named fact_104_mult__numeral__1__right
% 0.84/1.04 A new axiom: (forall (A:nat), (((eq nat) ((times_times_nat A) (numeral_numeral_nat one))) A))
% 0.84/1.04 FOF formula (forall (A:int), (((eq int) ((times_times_int A) (numeral_numeral_int one))) A)) of role axiom named fact_105_mult__numeral__1__right
% 0.84/1.04 A new axiom: (forall (A:int), (((eq int) ((times_times_int A) (numeral_numeral_int one))) A))
% 0.84/1.04 FOF formula (forall (A:complex), (((eq complex) ((times_times_complex (numera6690914467698888265omplex one)) A)) A)) of role axiom named fact_106_mult__numeral__1
% 0.84/1.04 A new axiom: (forall (A:complex), (((eq complex) ((times_times_complex (numera6690914467698888265omplex one)) A)) A))
% 0.84/1.04 FOF formula (forall (A:real), (((eq real) ((times_times_real (numeral_numeral_real one)) A)) A)) of role axiom named fact_107_mult__numeral__1
% 0.84/1.04 A new axiom: (forall (A:real), (((eq real) ((times_times_real (numeral_numeral_real one)) A)) A))
% 0.84/1.04 FOF formula (forall (A:rat), (((eq rat) ((times_times_rat (numeral_numeral_rat one)) A)) A)) of role axiom named fact_108_mult__numeral__1
% 0.84/1.04 A new axiom: (forall (A:rat), (((eq rat) ((times_times_rat (numeral_numeral_rat one)) A)) A))
% 0.84/1.04 FOF formula (forall (A:nat), (((eq nat) ((times_times_nat (numeral_numeral_nat one)) A)) A)) of role axiom named fact_109_mult__numeral__1
% 0.84/1.04 A new axiom: (forall (A:nat), (((eq nat) ((times_times_nat (numeral_numeral_nat one)) A)) A))
% 0.84/1.04 FOF formula (forall (A:int), (((eq int) ((times_times_int (numeral_numeral_int one)) A)) A)) of role axiom named fact_110_mult__numeral__1
% 0.84/1.04 A new axiom: (forall (A:int), (((eq int) ((times_times_int (numeral_numeral_int one)) A)) A))
% 0.84/1.04 FOF formula (forall (X2:num), (((eq complex) ((plus_plus_complex one_one_complex) (numera6690914467698888265omplex X2))) ((plus_plus_complex (numera6690914467698888265omplex X2)) one_one_complex))) of role axiom named fact_111_one__plus__numeral__commute
% 0.84/1.04 A new axiom: (forall (X2:num), (((eq complex) ((plus_plus_complex one_one_complex) (numera6690914467698888265omplex X2))) ((plus_plus_complex (numera6690914467698888265omplex X2)) one_one_complex)))
% 0.84/1.04 FOF formula (forall (X2:num), (((eq real) ((plus_plus_real one_one_real) (numeral_numeral_real X2))) ((plus_plus_real (numeral_numeral_real X2)) one_one_real))) of role axiom named fact_112_one__plus__numeral__commute
% 0.84/1.04 A new axiom: (forall (X2:num), (((eq real) ((plus_plus_real one_one_real) (numeral_numeral_real X2))) ((plus_plus_real (numeral_numeral_real X2)) one_one_real)))
% 0.84/1.04 FOF formula (forall (X2:num), (((eq rat) ((plus_plus_rat one_one_rat) (numeral_numeral_rat X2))) ((plus_plus_rat (numeral_numeral_rat X2)) one_one_rat))) of role axiom named fact_113_one__plus__numeral__commute
% 0.84/1.04 A new axiom: (forall (X2:num), (((eq rat) ((plus_plus_rat one_one_rat) (numeral_numeral_rat X2))) ((plus_plus_rat (numeral_numeral_rat X2)) one_one_rat)))
% 0.84/1.04 FOF formula (forall (X2:num), (((eq nat) ((plus_plus_nat one_one_nat) (numeral_numeral_nat X2))) ((plus_plus_nat (numeral_numeral_nat X2)) one_one_nat))) of role axiom named fact_114_one__plus__numeral__commute
% 0.84/1.04 A new axiom: (forall (X2:num), (((eq nat) ((plus_plus_nat one_one_nat) (numeral_numeral_nat X2))) ((plus_plus_nat (numeral_numeral_nat X2)) one_one_nat)))
% 0.84/1.04 FOF formula (forall (X2:num), (((eq int) ((plus_plus_int one_one_int) (numeral_numeral_int X2))) ((plus_plus_int (numeral_numeral_int X2)) one_one_int))) of role axiom named fact_115_one__plus__numeral__commute
% 0.84/1.04 A new axiom: (forall (X2:num), (((eq int) ((plus_plus_int one_one_int) (numeral_numeral_int X2))) ((plus_plus_int (numeral_numeral_int X2)) one_one_int)))
% 0.84/1.04 FOF formula (forall (N:num), (((eq complex) (numera6690914467698888265omplex (bit0 N))) ((plus_plus_complex (numera6690914467698888265omplex N)) (numera6690914467698888265omplex N)))) of role axiom named fact_116_numeral__Bit0
% 0.84/1.04 A new axiom: (forall (N:num), (((eq complex) (numera6690914467698888265omplex (bit0 N))) ((plus_plus_complex (numera6690914467698888265omplex N)) (numera6690914467698888265omplex N))))
% 0.84/1.04 FOF formula (forall (N:num), (((eq real) (numeral_numeral_real (bit0 N))) ((plus_plus_real (numeral_numeral_real N)) (numeral_numeral_real N)))) of role axiom named fact_117_numeral__Bit0
% 0.84/1.04 A new axiom: (forall (N:num), (((eq real) (numeral_numeral_real (bit0 N))) ((plus_plus_real (numeral_numeral_real N)) (numeral_numeral_real N))))
% 0.84/1.04 FOF formula (forall (N:num), (((eq rat) (numeral_numeral_rat (bit0 N))) ((plus_plus_rat (numeral_numeral_rat N)) (numeral_numeral_rat N)))) of role axiom named fact_118_numeral__Bit0
% 0.84/1.04 A new axiom: (forall (N:num), (((eq rat) (numeral_numeral_rat (bit0 N))) ((plus_plus_rat (numeral_numeral_rat N)) (numeral_numeral_rat N))))
% 0.84/1.04 FOF formula (forall (N:num), (((eq nat) (numeral_numeral_nat (bit0 N))) ((plus_plus_nat (numeral_numeral_nat N)) (numeral_numeral_nat N)))) of role axiom named fact_119_numeral__Bit0
% 0.84/1.04 A new axiom: (forall (N:num), (((eq nat) (numeral_numeral_nat (bit0 N))) ((plus_plus_nat (numeral_numeral_nat N)) (numeral_numeral_nat N))))
% 0.84/1.04 FOF formula (forall (N:num), (((eq int) (numeral_numeral_int (bit0 N))) ((plus_plus_int (numeral_numeral_int N)) (numeral_numeral_int N)))) of role axiom named fact_120_numeral__Bit0
% 0.84/1.04 A new axiom: (forall (N:num), (((eq int) (numeral_numeral_int (bit0 N))) ((plus_plus_int (numeral_numeral_int N)) (numeral_numeral_int N))))
% 0.84/1.04 FOF formula (((eq complex) (numera6690914467698888265omplex one)) one_one_complex) of role axiom named fact_121_numeral__One
% 0.84/1.04 A new axiom: (((eq complex) (numera6690914467698888265omplex one)) one_one_complex)
% 0.84/1.04 FOF formula (((eq real) (numeral_numeral_real one)) one_one_real) of role axiom named fact_122_numeral__One
% 0.84/1.04 A new axiom: (((eq real) (numeral_numeral_real one)) one_one_real)
% 0.84/1.04 FOF formula (((eq rat) (numeral_numeral_rat one)) one_one_rat) of role axiom named fact_123_numeral__One
% 0.84/1.04 A new axiom: (((eq rat) (numeral_numeral_rat one)) one_one_rat)
% 0.84/1.04 FOF formula (((eq nat) (numeral_numeral_nat one)) one_one_nat) of role axiom named fact_124_numeral__One
% 0.84/1.04 A new axiom: (((eq nat) (numeral_numeral_nat one)) one_one_nat)
% 0.84/1.04 FOF formula (((eq int) (numeral_numeral_int one)) one_one_int) of role axiom named fact_125_numeral__One
% 0.84/1.04 A new axiom: (((eq int) (numeral_numeral_int one)) one_one_int)
% 0.84/1.04 <<<e )
% 0.84/1.04 => ( ! [X22: num] :
% 0.84/1.04 ( Y2
% 0.84/1.04 != ( bit0 @ X22 ) )
% 0.84/1.04 => ~ !>>>!!!<<< [X3: num] :
% 0.84/1.04 ( Y2
% 0.84/1.04 != ( bit1 @ X3 ) ) ) ) ).
% 0.84/1.04
% 0.84/1.04 % num.exhaust
% 0.84/1.04 thf(>>>
% 0.84/1.04 statestack=[0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 22, 30, 36, 43, 50, 113, 185, 229, 265, 285, 300, 221, 120, 187, 221, 120, 187, 124]
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TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,199397), LexToken(LPAR,'(',1,199400), name, LexToken(COMMA,',',1,199422), formula_role, LexToken(COMMA,',',1,199428), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,199436), thf_variable_list, LexToken(RBRACKET,']',1,199444), LexToken(COLON,':',1,199446), LexToken(LPAR,'(',1,199454), thf_unitary_formula, thf_pair_connective, LexToken(LPAR,'(',1,199478), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.84/1.04 Unexpected exception Syntax error at '!':BANG
% 0.84/1.04 Traceback (most recent call last):
% 0.84/1.04 File "CASC.py", line 79, in <module>
% 0.84/1.04 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.84/1.04 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.84/1.04 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.84/1.04 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.84/1.04 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.84/1.04 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.84/1.04 tok = self.errorfunc(errtoken)
% 0.84/1.04 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.84/1.04 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.84/1.04 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------