TSTP Solution File: ITP226^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP226^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 17:47:37 EDT 2022
% Result : Unknown 0.76s 0.96s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ITP226^3 : TPTP v7.6.0. Released v7.6.0.
% 0.11/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 Computer : n020.cluster.edu
% 0.12/0.33 Model : x86_64 x86_64
% 0.12/0.33 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 RAMPerCPU : 8042.1875MB
% 0.12/0.33 OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Mar 18 10:45:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.43/0.60 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.43/0.60 FOF formula (<kernel.Constant object at 0xc36368>, <kernel.Type object at 0xc36cb0>) 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
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring set_Pr8693737435421807431at_nat:Type
% 0.43/0.60 FOF formula (<kernel.Constant object at 0xc3aef0>, <kernel.Type object at 0xc36dd0>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring produc5835291356934675326atural:Type
% 0.43/0.60 FOF formula (<kernel.Constant object at 0xc36680>, <kernel.Type object at 0xc36b90>) 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
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring produc859450856879609959at_nat:Type
% 0.43/0.60 FOF formula (<kernel.Constant object at 0xc36e18>, <kernel.Type object at 0xc36368>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring list_P7413028617227757229T_VEBT:Type
% 0.43/0.60 FOF formula (<kernel.Constant object at 0xc36b48>, <kernel.Type object at 0xc36680>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring list_P7037539587688870467BT_nat:Type
% 0.43/0.60 FOF formula (<kernel.Constant object at 0xc36d40>, <kernel.Type object at 0xc36ef0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring list_P4547456442757143711BT_int:Type
% 0.43/0.60 FOF formula (<kernel.Constant object at 0xc36b48>, <kernel.Type object at 0xc36e18>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring list_P5647936690300460905T_VEBT:Type
% 0.43/0.60 FOF formula (<kernel.Constant object at 0xc36a70>, <kernel.Type object at 0xc36d40>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring produc8243902056947475879T_VEBT:Type
% 0.43/0.60 FOF formula (<kernel.Constant object at 0xc369e0>, <kernel.Type object at 0xc36b48>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring produc7822875418678951345atural:Type
% 0.43/0.60 FOF formula (<kernel.Constant object at 0xc36200>, <kernel.Type object at 0xc36a70>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring produc8923325533196201883nteger:Type
% 0.43/0.60 FOF formula (<kernel.Constant object at 0xc36e60>, <kernel.Type object at 0xc369e0>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Extended____Nat__Oenat_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring produc7272778201969148633d_enat:Type
% 0.43/0.60 FOF formula (<kernel.Constant object at 0xc36440>, <kernel.Type object at 0xc36200>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring list_P3126845725202233233VEBT_o:Type
% 0.43/0.60 FOF formula (<kernel.Constant object at 0xc36710>, <kernel.Type object at 0xc36e60>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring list_P7495141550334521929T_VEBT:Type
% 0.43/0.60 FOF formula (<kernel.Constant object at 0xc365f0>, <kernel.Type object at 0xc36440>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring option4927543243414619207at_nat:Type
% 0.43/0.60 FOF formula (<kernel.Constant object at 0xc367a0>, <kernel.Type object at 0xc36710>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring list_P3744719386663036955um_num:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc36c20>, <kernel.Type object at 0xc365f0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring list_P1726324292696863441at_num:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc368c0>, <kernel.Type object at 0xc367a0>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring produc9072475918466114483BT_nat:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc36128>, <kernel.Type object at 0xc36c20>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring produc4894624898956917775BT_int:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc36950>, <kernel.Type object at 0xc368c0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring set_Pr1261947904930325089at_nat:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc36cf8>, <kernel.Type object at 0xc36128>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring set_Pr958786334691620121nt_int:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc36950>, <kernel.Type object at 0xc34998>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring list_P7333126701944960589_nat_o:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc36950>, <kernel.Type object at 0xc34f80>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring list_P6285523579766656935_o_nat:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc36cf8>, <kernel.Type object at 0xc34680>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring list_P3795440434834930179_o_int:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc34cb0>, <kernel.Type object at 0xc34fc8>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring produc334124729049499915VEBT_o:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc34320>, <kernel.Type object at 0xc34128>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring produc2504756804600209347T_VEBT:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc344d0>, <kernel.Type object at 0xc363f8>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring produc6271795597528267376eger_o:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc34248>, <kernel.Type object at 0xc39ea8>) of role type named ty_n_t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring product_prod_num_num:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc363f8>, <kernel.Type object at 0xc39440>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring product_prod_nat_num:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc34320>, <kernel.Type object at 0xc39c20>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring product_prod_nat_nat:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc34a28>, <kernel.Type object at 0xc39b00>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring product_prod_int_int:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc39ea8>, <kernel.Type object at 0xc39440>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring list_P4002435161011370285od_o_o:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc34248>, <kernel.Type object at 0xc39b00>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring list_VEBT_VEBT:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc34248>, <kernel.Type object at 0xc39dd0>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring set_list_nat:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc39248>, <kernel.Type object at 0xc39830>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring product_prod_o_nat:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc39c20>, <kernel.Type object at 0xc39ef0>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring product_prod_o_int:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc39e60>, <kernel.Type object at 0xc39a70>) of role type named ty_n_t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring list_set_nat:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc39248>, <kernel.Type object at 0xc39560>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring set_VEBT_VEBT:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc39c20>, <kernel.Type object at 0xc399e0>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring set_set_nat:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc39e60>, <kernel.Type object at 0xc393b0>) of role type named ty_n_t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring set_Code_integer:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc39248>, <kernel.Type object at 0xc398c0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Ounit_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring set_Product_unit:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc39c20>, <kernel.Type object at 0xc39050>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring list_complex:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc39e60>, <kernel.Type object at 0xc394d0>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring product_prod_o_o:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc39248>, <kernel.Type object at 0xc39cb0>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring set_complex:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc39c20>, <kernel.Type object at 0xc39b90>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring filter_real:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc39e60>, <kernel.Type object at 0xc395f0>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring option_num:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc39248>, <kernel.Type object at 0xc39d40>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring filter_nat:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc39c20>, <kernel.Type object at 0xc395f0>) of role type named ty_n_t__Filter__Ofilter_It__Int__Oint_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring filter_int:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc39d40>, <kernel.Type object at 0x2b0eb5118830>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring set_char:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc395f0>, <kernel.Type object at 0x2b0eb5118830>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring list_real:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc39ea8>, <kernel.Type object at 0x2b0eb5118128>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring set_real:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc39d40>, <kernel.Type object at 0x2b0eb5118dd0>) of role type named ty_n_t__List__Olist_It__Num__Onum_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring list_num:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc39ea8>, <kernel.Type object at 0x2b0eb51183f8>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring list_nat:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc395f0>, <kernel.Type object at 0x2b0eb5118290>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring list_int:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0xc395f0>, <kernel.Type object at 0x2b0eb51187e8>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring vEBT_VEBT:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2b0eb5118cb0>, <kernel.Type object at 0x2b0eb5118200>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring set_rat:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2b0eb5118dd0>, <kernel.Type object at 0x2b0eb5118368>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring set_num:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2b0eb5118998>, <kernel.Type object at 0x2b0eb5118cf8>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring set_nat:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2b0eb5118830>, <kernel.Type object at 0x2b0eb5118f38>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring set_int:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2b0eb5118cb0>, <kernel.Type object at 0x2b0eb51180e0>) of role type named ty_n_t__Code____Numeral__Onatural
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring code_natural:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2b0eb5118dd0>, <kernel.Type object at 0x2b0eb5118f38>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring code_integer:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2b0eb5118998>, <kernel.Type object at 0xda32d8>) of role type named ty_n_t__Product____Type__Ounit
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring product_unit:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2b0eb51180e0>, <kernel.Type object at 0xda32d8>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring extended_enat:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2b0eb5118170>, <kernel.Type object at 0xda32d8>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring list_o:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2b0eb5118dd0>, <kernel.Type object at 0xda3290>) of role type named ty_n_t__Complex__Ocomplex
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring complex:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2b0eb5118128>, <kernel.Type object at 0xda3200>) of role type named ty_n_t__String__Oliteral
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring literal:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2b0eb5118170>, <kernel.Type object at 0xda3170>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring set_o:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2b0eb5118128>, <kernel.Type object at 0xda31b8>) of role type named ty_n_t__String__Ochar
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring char:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2b0eb5118dd0>, <kernel.Type object at 0xda30e0>) of role type named ty_n_t__Real__Oreal
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring real:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2b0eb5118dd0>, <kernel.Type object at 0xda3128>) of role type named ty_n_t__Rat__Orat
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring rat:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0xda3248>, <kernel.Type object at 0xda3050>) of role type named ty_n_t__Num__Onum
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring num:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0xda32d8>, <kernel.Type object at 0xda3098>) of role type named ty_n_t__Nat__Onat
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring nat:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0xda3290>, <kernel.Type object at 0xda3368>) of role type named ty_n_t__Int__Oint
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring int:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0xda3290>, <kernel.DependentProduct object at 0xda3518>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Rat__Orat
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring archim2889992004027027881ng_rat:(rat->int)
% 0.43/0.62 FOF formula (<kernel.Constant object at 0xda33b0>, <kernel.DependentProduct object at 0xda35a8>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring archim7802044766580827645g_real:(real->int)
% 0.43/0.62 FOF formula (<kernel.Constant object at 0xda3518>, <kernel.DependentProduct object at 0xda3638>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring archim3151403230148437115or_rat:(rat->int)
% 0.43/0.62 FOF formula (<kernel.Constant object at 0xda35a8>, <kernel.DependentProduct object at 0xda36c8>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring archim6058952711729229775r_real:(real->int)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0xda3200>, <kernel.DependentProduct object at 0xda3758>) of role type named sy_c_Archimedean__Field_Ofrac_001t__Rat__Orat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring archimedean_frac_rat:(rat->rat)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0xda35a8>, <kernel.DependentProduct object at 0xda37a0>) of role type named sy_c_Archimedean__Field_Ofrac_001t__Real__Oreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring archim2898591450579166408c_real:(real->real)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0xda3758>, <kernel.DependentProduct object at 0xda3830>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0xda37a0>, <kernel.DependentProduct object at 0xda38c0>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring archim8280529875227126926d_real:(real->int)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0xda3830>, <kernel.Constant object at 0xda35f0>) of role type named sy_c_BNF__Cardinal__Order__Relation_OnatLeq
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bNF_Ca8665028551170535155natLeq:set_Pr1261947904930325089at_nat
% 0.46/0.63 FOF formula (<kernel.Constant object at 0xda38c0>, <kernel.Constant object at 0xda3758>) of role type named sy_c_BNF__Cardinal__Order__Relation_OnatLess
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bNF_Ca8459412986667044542atLess:set_Pr1261947904930325089at_nat
% 0.46/0.63 FOF formula (<kernel.Constant object at 0xda35f0>, <kernel.DependentProduct object at 0xda39e0>) 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
% 0.46/0.63 Using role type
% 0.46/0.63 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))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0xda3758>, <kernel.DependentProduct object at 0xda3bd8>) 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
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bNF_re895249473297799549at_rat:(((nat->rat)->((nat->rat)->Prop))->(((nat->rat)->((nat->rat)->Prop))->(((nat->rat)->(nat->rat))->(((nat->rat)->(nat->rat))->Prop))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0xda39e0>, <kernel.DependentProduct object at 0xda38c0>) 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
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bNF_re728719798268516973at_o_o:(((nat->rat)->((nat->rat)->Prop))->((Prop->(Prop->Prop))->(((nat->rat)->Prop)->(((nat->rat)->Prop)->Prop))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0xda3bd8>, <kernel.DependentProduct object at 0xda3ab8>) 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
% 0.46/0.63 Using role type
% 0.46/0.63 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))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0xda38c0>, <kernel.DependentProduct object at 0xda3d88>) 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
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring bNF_re4521903465945308077real_o:(((nat->rat)->(real->Prop))->((((nat->rat)->Prop)->((real->Prop)->Prop))->(((nat->rat)->((nat->rat)->Prop))->((real->(real->Prop))->Prop))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0xda3ab8>, <kernel.DependentProduct object at 0xda3bd8>) 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
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bNF_re3023117138289059399t_real:(((nat->rat)->(real->Prop))->(((nat->rat)->(real->Prop))->(((nat->rat)->(nat->rat))->((real->real)->Prop))))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xda3d88>, <kernel.DependentProduct object at 0xda3ea8>) 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
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bNF_re4297313714947099218al_o_o:(((nat->rat)->(real->Prop))->((Prop->(Prop->Prop))->(((nat->rat)->Prop)->((real->Prop)->Prop))))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xda3bd8>, <kernel.DependentProduct object at 0xda3a70>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Code____Numeral__Ointeger_001_062_It__Int__Oint_M_Eo_J_001_062_It__Code____Numeral__Ointeger_M_Eo_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bNF_re6321650412969554871eger_o:((int->(code_integer->Prop))->(((int->Prop)->((code_integer->Prop)->Prop))->((int->(int->Prop))->((code_integer->(code_integer->Prop))->Prop))))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xda3ea8>, <kernel.DependentProduct object at 0xda3ef0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Code____Numeral__Ointeger_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bNF_re398004352372739002nteger:((int->(code_integer->Prop))->(((int->int)->((code_integer->code_integer)->Prop))->((int->(int->int))->((code_integer->(code_integer->code_integer))->Prop))))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xda3a70>, <kernel.DependentProduct object at 0xda3b90>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Code____Numeral__Ointeger_001_Eo_001_Eo
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bNF_re6574881592172037608er_o_o:((int->(code_integer->Prop))->((Prop->(Prop->Prop))->((int->Prop)->((code_integer->Prop)->Prop))))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xda3ef0>, <kernel.DependentProduct object at 0xc200e0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Code____Numeral__Ointeger_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bNF_re3379532845092657523nteger:((int->(code_integer->Prop))->((int->(code_integer->Prop))->((int->int)->((code_integer->code_integer)->Prop))))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xda3b90>, <kernel.DependentProduct object at 0xda3ef0>) 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
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bNF_re3403563459893282935_int_o:((int->(int->Prop))->(((int->Prop)->((int->Prop)->Prop))->((int->(int->Prop))->((int->(int->Prop))->Prop))))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xda3b90>, <kernel.DependentProduct object at 0xc202d8>) 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
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bNF_re711492959462206631nt_int:((int->(int->Prop))->(((int->int)->((int->int)->Prop))->((int->(int->int))->((int->(int->int))->Prop))))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xda3b90>, <kernel.DependentProduct object at 0xc203b0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bNF_re157797125943740599nt_int:((int->(int->Prop))->(((int->product_prod_int_int)->((int->product_prod_int_int)->Prop))->((int->(int->product_prod_int_int))->((int->(int->product_prod_int_int))->Prop))))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xda3fc8>, <kernel.DependentProduct object at 0xc20440>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Int__Oint_Mt__Rat__Orat_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re3461391660133120880nt_rat:((int->(int->Prop))->(((int->product_prod_int_int)->((int->rat)->Prop))->((int->(int->product_prod_int_int))->((int->(int->rat))->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xc20128>, <kernel.DependentProduct object at 0xc201b8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_Eo_001_Eo
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re5089333283451836215nt_o_o:((int->(int->Prop))->((Prop->(Prop->Prop))->((int->Prop)->((int->Prop)->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xc20440>, <kernel.DependentProduct object at 0xc20488>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re4712519889275205905nt_int:((int->(int->Prop))->((int->(int->Prop))->((int->int)->((int->int)->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xc201b8>, <kernel.DependentProduct object at 0xc20560>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re6250860962936578807nt_int:((int->(int->Prop))->((product_prod_int_int->(product_prod_int_int->Prop))->((int->product_prod_int_int)->((int->product_prod_int_int)->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xc20488>, <kernel.DependentProduct object at 0xc205f0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re2214769303045360666nt_rat:((int->(int->Prop))->((product_prod_int_int->(rat->Prop))->((int->product_prod_int_int)->((int->rat)->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xc20560>, <kernel.DependentProduct object at 0xc20488>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Code____Numeral__Onatural_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Code____Numeral__Onatural_M_Eo_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re1639080489988575423ural_o:((nat->(code_natural->Prop))->(((nat->Prop)->((code_natural->Prop)->Prop))->((nat->(nat->Prop))->((code_natural->(code_natural->Prop))->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xc200e0>, <kernel.DependentProduct object at 0xc20758>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Code____Numeral__Onatural_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re88643428490162567atural:((nat->(code_natural->Prop))->(((nat->nat)->((code_natural->code_natural)->Prop))->((nat->(nat->nat))->((code_natural->(code_natural->code_natural))->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xc20488>, <kernel.DependentProduct object at 0xc20200>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Code____Numeral__Onatural_001_Eo_001_Eo
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re2785088596696291543al_o_o:((nat->(code_natural->Prop))->((Prop->(Prop->Prop))->((nat->Prop)->((code_natural->Prop)->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xc20758>, <kernel.DependentProduct object at 0xc206c8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Code____Numeral__Onatural_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re5252274238750452962nteger:((nat->(code_natural->Prop))->((int->(code_integer->Prop))->((nat->int)->((code_natural->code_integer)->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xc20200>, <kernel.DependentProduct object at 0xc207e8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Code____Numeral__Onatural_001t__Nat__Onat_001t__Code____Numeral__Onatural
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re3704215830270325841atural:((nat->(code_natural->Prop))->((nat->(code_natural->Prop))->((nat->nat)->((code_natural->code_natural)->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xc206c8>, <kernel.DependentProduct object at 0xc203b0>) 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
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re578469030762574527_nat_o:((nat->(nat->Prop))->(((nat->Prop)->((nat->Prop)->Prop))->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc207e8>, <kernel.DependentProduct object at 0xc20a28>) 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
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re1345281282404953727at_nat:((nat->(nat->Prop))->(((nat->nat)->((nat->nat)->Prop))->((nat->(nat->nat))->((nat->(nat->nat))->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc203b0>, <kernel.DependentProduct object at 0xc20290>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_Eo_001_Eo
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re4705727531993890431at_o_o:((nat->(nat->Prop))->((Prop->(Prop->Prop))->((nat->Prop)->((nat->Prop)->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc20a28>, <kernel.DependentProduct object at 0xc209e0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re4153400068438556298nteger:((nat->(nat->Prop))->((int->(code_integer->Prop))->((nat->int)->((nat->code_integer)->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc20290>, <kernel.DependentProduct object at 0xc20ab8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint_001t__Int__Oint
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re6650684261131312217nt_int:((nat->(nat->Prop))->((int->(int->Prop))->((nat->int)->((nat->int)->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc209e0>, <kernel.DependentProduct object at 0xc20b90>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re5653821019739307937at_nat:((nat->(nat->Prop))->((nat->(nat->Prop))->((nat->nat)->((nat->nat)->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc20ab8>, <kernel.DependentProduct object at 0xc20c20>) 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
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re6830278522597306478at_int:((nat->(nat->Prop))->((product_prod_nat_nat->(int->Prop))->((nat->product_prod_nat_nat)->((nat->int)->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc20b90>, <kernel.DependentProduct object at 0xc202d8>) 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__Code____Numeral__Ointeger_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re7876454716742015248nteger:((num->(num->Prop))->(((num->int)->((num->code_integer)->Prop))->((num->(num->int))->((num->(num->code_integer))->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc20c20>, <kernel.DependentProduct object at 0xc20e60>) 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
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re8402795839162346335um_int:((num->(num->Prop))->(((num->int)->((num->int)->Prop))->((num->(num->int))->((num->(num->int))->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc202d8>, <kernel.DependentProduct object at 0xc20e18>) of role type named sy_c_BNF__Def_Orel__fun_001t__Num__Onum_001t__Num__Onum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re6501075790457514782nteger:((num->(num->Prop))->((int->(code_integer->Prop))->((num->int)->((num->code_integer)->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc20e60>, <kernel.DependentProduct object at 0xc209e0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Num__Onum_001t__Num__Onum_001t__Int__Oint_001t__Int__Oint
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re1822329894187522285nt_int:((num->(num->Prop))->((int->(int->Prop))->((num->int)->((num->int)->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc20e18>, <kernel.DependentProduct object at 0xc20dd0>) 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
% 0.46/0.67 Using role type
% 0.46/0.67 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))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xc209e0>, <kernel.DependentProduct object at 0xc20d88>) 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_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bNF_re7145576690424134365nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->((product_prod_int_int->(product_prod_int_int->Prop))->((product_prod_int_int->product_prod_int_int)->((product_prod_int_int->product_prod_int_int)->Prop))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xc20dd0>, <kernel.DependentProduct object at 0xc208c0>) 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
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bNF_re1494630372529172596at_o_o:((product_prod_int_int->(rat->Prop))->((Prop->(Prop->Prop))->((product_prod_int_int->Prop)->((rat->Prop)->Prop))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xc20d88>, <kernel.DependentProduct object at 0xc23128>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bNF_re8279943556446156061nt_rat:((product_prod_int_int->(rat->Prop))->((product_prod_int_int->(rat->Prop))->((product_prod_int_int->product_prod_int_int)->((rat->rat)->Prop))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xc208c0>, <kernel.DependentProduct object at 0xc20d88>) 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
% 0.46/0.67 Using role type
% 0.46/0.67 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))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xc208c0>, <kernel.DependentProduct object at 0xc232d8>) 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
% 0.46/0.67 Using role type
% 0.46/0.67 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))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xc208c0>, <kernel.DependentProduct object at 0xc23200>) 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
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bNF_re6644619430987730960nt_o_o:((product_prod_nat_nat->(int->Prop))->((Prop->(Prop->Prop))->((product_prod_nat_nat->Prop)->((int->Prop)->Prop))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xc208c0>, <kernel.DependentProduct object at 0xc23368>) 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__Nat__Onat_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bNF_re4555766996558763186at_nat:((product_prod_nat_nat->(int->Prop))->((nat->(nat->Prop))->((product_prod_nat_nat->nat)->((int->nat)->Prop))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xc232d8>, <kernel.DependentProduct object at 0xc23440>) 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
% 0.46/0.67 Using role type
% 0.46/0.67 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))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xc23368>, <kernel.DependentProduct object at 0xc232d8>) 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
% 0.46/0.67 Using role type
% 0.46/0.67 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))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xc230e0>, <kernel.DependentProduct object at 0xc235a8>) 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
% 0.46/0.67 Using role type
% 0.46/0.67 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))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xc23050>, <kernel.DependentProduct object at 0xc23098>) 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
% 0.46/0.67 Using role type
% 0.46/0.67 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))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xc235a8>, <kernel.DependentProduct object at 0xc23560>) 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__Nat__Onat_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bNF_re8246922863344978751at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((nat->(nat->Prop))->((product_prod_nat_nat->nat)->((product_prod_nat_nat->nat)->Prop))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xc23098>, <kernel.DependentProduct object at 0xc23320>) 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
% 0.46/0.67 Using role type
% 0.46/0.67 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))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xc23560>, <kernel.DependentProduct object at 0xc23710>) of role type named sy_c_BNF__Wellorder__Relation_Owo__rel_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bNF_We3818239936649020644el_nat:(set_Pr1261947904930325089at_nat->Prop)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xc23098>, <kernel.DependentProduct object at 0xc23320>) of role type named sy_c_Binomial_Obinomial
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring binomial:(nat->(nat->nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xc23758>, <kernel.DependentProduct object at 0xc23560>) of role type named sy_c_Binomial_Ogbinomial_001t__Complex__Ocomplex
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring gbinomial_complex:(complex->(nat->complex))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc23050>, <kernel.DependentProduct object at 0xc23098>) of role type named sy_c_Binomial_Ogbinomial_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring gbinomial_int:(int->(nat->int))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc235a8>, <kernel.DependentProduct object at 0xc23758>) of role type named sy_c_Binomial_Ogbinomial_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring gbinomial_nat:(nat->(nat->nat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc23638>, <kernel.DependentProduct object at 0xc23050>) of role type named sy_c_Binomial_Ogbinomial_001t__Rat__Orat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring gbinomial_rat:(rat->(nat->rat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc23710>, <kernel.DependentProduct object at 0xc235a8>) of role type named sy_c_Binomial_Ogbinomial_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring gbinomial_real:(real->(nat->real))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc234d0>, <kernel.DependentProduct object at 0xc23710>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc23320>, <kernel.DependentProduct object at 0xc235a8>) of role type named sy_c_Bit__Operations_Oand__not__num
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_and_not_num:(num->(num->option_num))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc23098>, <kernel.DependentProduct object at 0xc23638>) of role type named sy_c_Bit__Operations_Oand__not__num__rel
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_and_not_num_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc23908>, <kernel.DependentProduct object at 0xc23098>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc23a28>, <kernel.DependentProduct object at 0xc234d0>) of role type named sy_c_Bit__Operations_Oor__not__num__neg
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_or_not_num_neg:(num->(num->num))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc23638>, <kernel.DependentProduct object at 0xc237a0>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Code____Numeral__Ointeger
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_ri7632146776885996613nteger:(code_integer->code_integer)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc234d0>, <kernel.DependentProduct object at 0xc23ab8>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc237a0>, <kernel.DependentProduct object at 0xc234d0>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc23ab8>, <kernel.DependentProduct object at 0xc237a0>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc234d0>, <kernel.DependentProduct object at 0xc23ab8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Code____Numeral__Ointeger
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se3949692690581998587nteger:(code_integer->(code_integer->code_integer))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc237a0>, <kernel.DependentProduct object at 0xc234d0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Code____Numeral__Onatural
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se2773287842338716102atural:(code_natural->(code_natural->code_natural))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc23ab8>, <kernel.DependentProduct object at 0xc237a0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc234d0>, <kernel.DependentProduct object at 0xc23ab8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc237a0>, <kernel.DependentProduct object at 0xc234d0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc23ab8>, <kernel.DependentProduct object at 0xc237a0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc234d0>, <kernel.DependentProduct object at 0xc23ab8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc237a0>, <kernel.DependentProduct object at 0xc23b48>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Onatural
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se168947363167071951atural:(nat->(code_natural->code_natural))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc23ab8>, <kernel.DependentProduct object at 0xc23f38>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc23ab8>, <kernel.DependentProduct object at 0xc2a050>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc23ab8>, <kernel.DependentProduct object at 0xc2a098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Code____Numeral__Ointeger
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se2119862282449309892nteger:(nat->code_integer)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc237a0>, <kernel.DependentProduct object at 0xc2a2d8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a050>, <kernel.DependentProduct object at 0xc2a368>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a1b8>, <kernel.DependentProduct object at 0xc2a3b0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a098>, <kernel.DependentProduct object at 0xc2a440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a3f8>, <kernel.DependentProduct object at 0xc2a098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Code____Numeral__Ointeger
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se7788150548672797655nteger:(nat->(code_integer->code_integer))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a440>, <kernel.DependentProduct object at 0xc2a3f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a098>, <kernel.DependentProduct object at 0xc2a440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a3f8>, <kernel.DependentProduct object at 0xc2a098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a440>, <kernel.DependentProduct object at 0xc2a3f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Onatural
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se1617098188084679374atural:(nat->(code_natural->code_natural))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a098>, <kernel.DependentProduct object at 0xc2a440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a3f8>, <kernel.DependentProduct object at 0xc2a098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a440>, <kernel.DependentProduct object at 0xc2a3f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Code____Numeral__Ointeger
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se1745604003318907178nteger:(nat->(code_integer->code_integer))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a098>, <kernel.DependentProduct object at 0xc2a440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Code____Numeral__Onatural
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se569199155075624693atural:(nat->(code_natural->code_natural))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a3f8>, <kernel.DependentProduct object at 0xc2a098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a440>, <kernel.DependentProduct object at 0xc2a3f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a098>, <kernel.DependentProduct object at 0xc2a440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a3f8>, <kernel.DependentProduct object at 0xc2a098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Onatural
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se7083795435491715335atural:(nat->(code_natural->code_natural))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a440>, <kernel.DependentProduct object at 0xc2a3f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a098>, <kernel.DependentProduct object at 0xc2a440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a3f8>, <kernel.DependentProduct object at 0xc2a098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Code____Numeral__Ointeger
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se3222712562003087583nteger:(code_integer->(code_integer->code_integer))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xc2a440>, <kernel.DependentProduct object at 0xc2a3f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2a098>, <kernel.DependentProduct object at 0xc2a440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2a3f8>, <kernel.DependentProduct object at 0xc2a098>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Code____Numeral__Ointeger
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bit_se9216721137139052372nteger:(code_integer->(nat->Prop))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2a440>, <kernel.DependentProduct object at 0xc2a3f8>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Code____Numeral__Onatural
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bit_se8040316288895769887atural:(code_natural->(nat->Prop))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2a098>, <kernel.DependentProduct object at 0xc2c050>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2a3f8>, <kernel.DependentProduct object at 0xc2c098>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2afc8>, <kernel.DependentProduct object at 0xc2c128>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2a3f8>, <kernel.DependentProduct object at 0xc2c248>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bit_un7362597486090784418nd_num:(num->(num->option_num))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c128>, <kernel.DependentProduct object at 0xc2c098>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num__rel
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bit_un4731106466462545111um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c290>, <kernel.DependentProduct object at 0xc2c050>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bit_un2480387367778600638or_num:(num->(num->option_num))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c248>, <kernel.DependentProduct object at 0xc2c368>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num__rel
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bit_un2901131394128224187um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c3b0>, <kernel.DependentProduct object at 0xc2c440>) of role type named sy_c_Code__Numeral_OSuc
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_Suc:(code_natural->code_natural)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c2d8>, <kernel.DependentProduct object at 0xc2c248>) of role type named sy_c_Code__Numeral_Obit__cut__integer
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_bit_cut_integer:(code_integer->produc6271795597528267376eger_o)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c170>, <kernel.DependentProduct object at 0xc2c2d8>) of role type named sy_c_Code__Numeral_Odivmod__abs
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_divmod_abs:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c290>, <kernel.DependentProduct object at 0xc2c248>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c518>, <kernel.DependentProduct object at 0xc2c488>) of role type named sy_c_Code__Numeral_Odup
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_dup:(code_integer->code_integer)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c248>, <kernel.DependentProduct object at 0xc2c5f0>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_int_of_integer:(code_integer->int)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c4d0>, <kernel.DependentProduct object at 0xc2c5a8>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_integer_of_int:(int->code_integer)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c290>, <kernel.DependentProduct object at 0xc2c638>) of role type named sy_c_Code__Numeral_Ointeger__of__nat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_integer_of_nat:(nat->code_integer)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c4d0>, <kernel.DependentProduct object at 0xc2c680>) of role type named sy_c_Code__Numeral_Ointeger__of__natural
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_i5400310926305786745atural:(code_natural->code_integer)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c488>, <kernel.DependentProduct object at 0xc2c710>) of role type named sy_c_Code__Numeral_Ointeger__of__num
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_integer_of_num:(num->code_integer)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c5a8>, <kernel.DependentProduct object at 0xc2c758>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_nat_of_integer:(code_integer->nat)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c248>, <kernel.DependentProduct object at 0xc2c7a0>) of role type named sy_c_Code__Numeral_Onatural_Onat__of__natural
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_nat_of_natural:(code_natural->nat)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c680>, <kernel.DependentProduct object at 0xc2c7e8>) of role type named sy_c_Code__Numeral_Onatural_Onatural__of__nat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_natural_of_nat:(nat->code_natural)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c560>, <kernel.DependentProduct object at 0xc2c878>) of role type named sy_c_Code__Numeral_Onegative
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_negative:(num->code_integer)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c7a0>, <kernel.DependentProduct object at 0xc2c680>) of role type named sy_c_Code__Numeral_Onum__of__integer
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_num_of_integer:(code_integer->num)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c710>, <kernel.DependentProduct object at 0xc2c7a0>) of role type named sy_c_Code__Numeral_Opcr__integer
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_pcr_integer:(int->(code_integer->Prop))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c878>, <kernel.DependentProduct object at 0xc2c680>) of role type named sy_c_Code__Numeral_Opcr__natural
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_pcr_natural:(nat->(code_natural->Prop))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c560>, <kernel.DependentProduct object at 0xc2c7e8>) of role type named sy_c_Code__Numeral_Osub
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_sub:(num->(num->code_integer))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c248>, <kernel.DependentProduct object at 0xc2c680>) of role type named sy_c_Code__Target__Int_Onegative
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_Target_negative:(num->int)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c710>, <kernel.DependentProduct object at 0xc2c560>) of role type named sy_c_Code__Target__Nat_Oint__of__nat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring code_T6385005292777649522of_nat:(nat->int)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c878>, <kernel.DependentProduct object at 0xc2ca70>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring complete_Inf_Inf_int:(set_int->int)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2c710>, <kernel.DependentProduct object at 0xc2cab8>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring comple4887499456419720421f_real:(set_real->real)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0xc2ca70>, <kernel.DependentProduct object at 0xc2cb48>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring comple7806235888213564991et_nat:(set_set_nat->set_nat)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xc2c7a0>, <kernel.DependentProduct object at 0xc2cbd8>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Int__Oint
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring complete_Sup_Sup_int:(set_int->int)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xc2c248>, <kernel.DependentProduct object at 0xc2cc20>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Nat__Onat
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring complete_Sup_Sup_nat:(set_nat->nat)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xc2c7a0>, <kernel.DependentProduct object at 0xc2cc68>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Real__Oreal
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring comple1385675409528146559p_real:(set_real->real)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xc2cb00>, <kernel.DependentProduct object at 0xc2ccf8>) of role type named sy_c_Complex_OArg
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring arg:(complex->real)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xc2cbd8>, <kernel.DependentProduct object at 0xc2cd40>) of role type named sy_c_Complex_Ocis
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring cis:(real->complex)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xc2ca70>, <kernel.DependentProduct object at 0xc2cd88>) of role type named sy_c_Complex_Ocnj
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring cnj:(complex->complex)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xc2c998>, <kernel.DependentProduct object at 0xc2ca70>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring complex2:(real->(real->complex))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xc2ce18>, <kernel.DependentProduct object at 0xc2cea8>) of role type named sy_c_Complex_Ocomplex_OIm
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring im:(complex->real)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xc2ca70>, <kernel.DependentProduct object at 0xc2ce60>) of role type named sy_c_Complex_Ocomplex_ORe
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring re:(complex->real)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xc2c7a0>, <kernel.DependentProduct object at 0xc2cd40>) of role type named sy_c_Complex_Ocsqrt
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring csqrt:(complex->complex)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xc2cc68>, <kernel.Constant object at 0xc2cea8>) of role type named sy_c_Complex_Oimaginary__unit
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring imaginary_unit:complex
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xc2cd88>, <kernel.DependentProduct object at 0xc2ca70>) of role type named sy_c_Complex_Orcis
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring rcis:(real->(real->complex))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xc2cd40>, <kernel.DependentProduct object at 0xc2cf38>) of role type named sy_c_Deriv_Odifferentiable_001t__Real__Oreal_001t__Real__Oreal
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring differ6690327859849518006l_real:((real->real)->(filter_real->Prop))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xc2ca70>, <kernel.DependentProduct object at 0xc2cd40>) of role type named sy_c_Deriv_Ohas__derivative_001t__Real__Oreal_001t__Real__Oreal
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring has_de1759254742604945161l_real:((real->real)->((real->real)->(filter_real->Prop)))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xc2cf38>, <kernel.DependentProduct object at 0xc2ca70>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xc2ce18>, <kernel.DependentProduct object at 0xdad1b8>) of role type named sy_c_Divides_Oadjust__div
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring adjust_div:(product_prod_int_int->int)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xc2cf38>, <kernel.DependentProduct object at 0xdad050>) of role type named sy_c_Divides_Oadjust__mod
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring adjust_mod:(int->(int->int))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xc2ca70>, <kernel.DependentProduct object at 0xdad248>) of role type named sy_c_Divides_Odivmod__nat
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xc2ce18>, <kernel.DependentProduct object at 0xdad200>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xdad2d8>, <kernel.DependentProduct object at 0xdad050>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xdad248>, <kernel.DependentProduct object at 0xdad290>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xdad050>, <kernel.DependentProduct object at 0xdad320>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xdad098>, <kernel.DependentProduct object at 0xdad050>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xdad320>, <kernel.DependentProduct object at 0xdad098>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xdad050>, <kernel.DependentProduct object at 0xdad560>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring unique4921790084139445826nteger:(num->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xdad098>, <kernel.DependentProduct object at 0xdad050>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xdad560>, <kernel.DependentProduct object at 0xdad098>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xdad050>, <kernel.DependentProduct object at 0xdad320>) of role type named sy_c_Euclidean__Division_Ounique__euclidean__semiring__class_Odivision__segment_001t__Int__Oint
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring euclid3395696857347342551nt_int:(int->int)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xdad098>, <kernel.DependentProduct object at 0xdad7a0>) of role type named sy_c_Euclidean__Division_Ounique__euclidean__semiring__class_Odivision__segment_001t__Nat__Onat
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring euclid3398187327856392827nt_nat:(nat->nat)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xdad5a8>, <kernel.DependentProduct object at 0xdad830>) of role type named sy_c_Extended__Nat_OeSuc
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring extended_eSuc:(extended_enat->extended_enat)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xdad6c8>, <kernel.DependentProduct object at 0xdad878>) of role type named sy_c_Extended__Nat_Oenat
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring extended_enat2:(nat->extended_enat)
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xdad758>, <kernel.DependentProduct object at 0xdad7a0>) of role type named sy_c_Extended__Nat_Oenat_Ocase__enat_001_Eo
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring extended_case_enat_o:((nat->Prop)->(Prop->(extended_enat->Prop)))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xdad6c8>, <kernel.DependentProduct object at 0xdad8c0>) of role type named sy_c_Extended__Nat_Oenat_Ocase__enat_001t__Extended____Nat__Oenat
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring extend3600170679010898289d_enat:((nat->extended_enat)->(extended_enat->(extended_enat->extended_enat)))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0xdad7a0>, <kernel.Constant object at 0xdad878>) of role type named sy_c_Extended__Nat_Oinfinity__class_Oinfinity_001t__Extended____Nat__Oenat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring extend5688581933313929465d_enat:extended_enat
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdad8c0>, <kernel.DependentProduct object at 0xdad7a0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Code____Numeral__Ointeger
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring comm_s8582702949713902594nteger:(code_integer->(nat->code_integer))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdad878>, <kernel.DependentProduct object at 0xdad8c0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Complex__Ocomplex
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring comm_s2602460028002588243omplex:(complex->(nat->complex))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdad7a0>, <kernel.DependentProduct object at 0xdad878>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring comm_s4660882817536571857er_int:(int->(nat->int))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdad8c0>, <kernel.DependentProduct object at 0xdad7a0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring comm_s4663373288045622133er_nat:(nat->(nat->nat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdad878>, <kernel.DependentProduct object at 0xdad8c0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Rat__Orat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring comm_s4028243227959126397er_rat:(rat->(nat->rat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdad7a0>, <kernel.DependentProduct object at 0xdad878>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Real__Oreal
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring comm_s7457072308508201937r_real:(real->(nat->real))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdad8c0>, <kernel.DependentProduct object at 0xdad830>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Code____Numeral__Ointeger
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring semiri3624122377584611663nteger:(nat->code_integer)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdad878>, <kernel.DependentProduct object at 0xdade18>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Code____Numeral__Onatural
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring semiri2447717529341329178atural:(nat->code_natural)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdad830>, <kernel.DependentProduct object at 0xdadea8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdade18>, <kernel.DependentProduct object at 0xdadf38>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring semiri1406184849735516958ct_int:(nat->int)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdadea8>, <kernel.DependentProduct object at 0xdadfc8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdadf38>, <kernel.DependentProduct object at 0xdaf098>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Rat__Orat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring semiri773545260158071498ct_rat:(nat->rat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdadfc8>, <kernel.DependentProduct object at 0xdaf128>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdadfc8>, <kernel.DependentProduct object at 0xdaf1b8>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Complex__Ocomplex
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring invers8013647133539491842omplex:(complex->complex)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdadf80>, <kernel.DependentProduct object at 0xdaf248>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring inverse_inverse_rat:(rat->rat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdadfc8>, <kernel.DependentProduct object at 0xdaf290>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring inverse_inverse_real:(real->real)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdadea8>, <kernel.Constant object at 0xdaf290>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring at_bot_real:filter_real
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdadea8>, <kernel.Constant object at 0xdaf290>) of role type named sy_c_Filter_Oat__top_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring at_top_int:filter_int
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdaf200>, <kernel.Constant object at 0xdaf290>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring at_top_nat:filter_nat
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdaf170>, <kernel.Constant object at 0xdaf290>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring at_top_real:filter_real
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdaf2d8>, <kernel.DependentProduct object at 0xdaf200>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdaf290>, <kernel.DependentProduct object at 0xdaf170>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdaf200>, <kernel.DependentProduct object at 0xdaf3b0>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring filterlim_nat_int:((nat->int)->(filter_int->(filter_nat->Prop)))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdaf4d0>, <kernel.DependentProduct object at 0xdaf440>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdaf560>, <kernel.DependentProduct object at 0xdaf488>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdaf5a8>, <kernel.DependentProduct object at 0xdaf320>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdaf5f0>, <kernel.DependentProduct object at 0xdaf2d8>) of role type named sy_c_Filter_Ofiltermap_001t__Real__Oreal_001t__Real__Oreal
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring filtermap_real_real:((real->real)->(filter_real->filter_real))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdaf560>, <kernel.DependentProduct object at 0xdaf638>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring finite_card_complex:(set_complex->nat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdaf290>, <kernel.DependentProduct object at 0xdaf4d0>) of role type named sy_c_Finite__Set_Ocard_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring finite_card_int:(set_int->nat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdaf488>, <kernel.DependentProduct object at 0xdaf680>) of role type named sy_c_Finite__Set_Ocard_001t__List__Olist_It__Nat__Onat_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring finite_card_list_nat:(set_list_nat->nat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdaf2d8>, <kernel.DependentProduct object at 0xdaf6c8>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring finite_card_nat:(set_nat->nat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdaf488>, <kernel.DependentProduct object at 0xdaf710>) of role type named sy_c_Finite__Set_Ocard_001t__Product____Type__Ounit
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring finite410649719033368117t_unit:(set_Product_unit->nat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0xdaf638>, <kernel.DependentProduct object at 0xdaf7a0>) of role type named sy_c_Finite__Set_Ocard_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring finite_card_set_nat:(set_set_nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdaf488>, <kernel.DependentProduct object at 0xdaf6c8>) 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 0xdaf638>, <kernel.DependentProduct object at 0xdaf830>) 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 0xdaf7a0>, <kernel.DependentProduct object at 0xdaf878>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring finite_finite_nat:(set_nat->Prop)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdaf638>, <kernel.DependentProduct object at 0xdaf488>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdaf950>, <kernel.DependentProduct object at 0xdaf830>) of role type named sy_c_Fun_Obij__betw_001t__Int__Oint_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring bij_betw_int_nat:((int->nat)->(set_int->(set_nat->Prop)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdaf638>, <kernel.DependentProduct object at 0xdaf998>) of role type named sy_c_Fun_Obij__betw_001t__List__Olist_It__Nat__Onat_J_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring bij_be8532844293280997160at_nat:((list_nat->nat)->(set_list_nat->(set_nat->Prop)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdafa70>, <kernel.DependentProduct object at 0xdaf9e0>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdafa28>, <kernel.DependentProduct object at 0xdaf950>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring bij_betw_nat_int:((nat->int)->(set_nat->(set_int->Prop)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdafa70>, <kernel.DependentProduct object at 0xdafb48>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__List__Olist_It__Nat__Onat_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring bij_be6293887246118711976st_nat:((nat->list_nat)->(set_nat->(set_list_nat->Prop)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdafb90>, <kernel.DependentProduct object at 0xdaf998>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdafa70>, <kernel.DependentProduct object at 0xdafb00>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring bij_be8693218025023041337at_nat:((nat->product_prod_nat_nat)->(set_nat->(set_Pr1261947904930325089at_nat->Prop)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdaf998>, <kernel.DependentProduct object at 0xdafbd8>) of role type named sy_c_Fun_Obij__betw_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring bij_be5333170631980326235at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->(set_nat->Prop)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdafb00>, <kernel.DependentProduct object at 0xdaf998>) of role type named sy_c_Fun_Ocomp_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring comp_C8797469213163452608nteger:(((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->(code_integer->code_integer))->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdafbd8>, <kernel.DependentProduct object at 0xdafb00>) of role type named sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring comp_C1593894019821074884nteger:((code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->code_integer)->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdaf998>, <kernel.DependentProduct object at 0xdafdd0>) of role type named sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring comp_C3531382070062128313er_num:((code_integer->code_integer)->((num->code_integer)->(num->code_integer)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdafc20>, <kernel.DependentProduct object at 0xdafbd8>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Int__Oint_001t__Num__Onum
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring comp_int_int_num:((int->int)->((num->int)->(num->int)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdaff38>, <kernel.DependentProduct object at 0xdaff80>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring comp_int_nat_int:((int->nat)->((int->int)->(int->nat)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdaffc8>, <kernel.DependentProduct object at 0xdaf998>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring comp_nat_nat_nat:((nat->nat)->((nat->nat)->(nat->nat)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdafb00>, <kernel.DependentProduct object at 0xdafd40>) of role type named sy_c_Fun_Oid_001_Eo
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring id_o:(Prop->Prop)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdaf248>, <kernel.DependentProduct object at 0xdb3098>) of role type named sy_c_Fun_Oid_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring id_nat:(nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdafe60>, <kernel.DependentProduct object at 0xdaff80>) of role type named sy_c_Fun_Oinj__on_001t__Int__Oint_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring inj_on_int_nat:((int->nat)->(set_int->Prop))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdaf248>, <kernel.DependentProduct object at 0xdafd88>) of role type named sy_c_Fun_Oinj__on_001t__List__Olist_It__Nat__Onat_J_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring inj_on_list_nat_nat:((list_nat->nat)->(set_list_nat->Prop))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdaff80>, <kernel.DependentProduct object at 0xdb3050>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring inj_on_nat_int:((nat->int)->(set_nat->Prop))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdafe60>, <kernel.DependentProduct object at 0xdb3050>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__List__Olist_It__Nat__Onat_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring inj_on_nat_list_nat:((nat->list_nat)->(set_nat->Prop))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdaf248>, <kernel.DependentProduct object at 0xdb3098>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring inj_on_nat_nat:((nat->nat)->(set_nat->Prop))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdaf248>, <kernel.DependentProduct object at 0xdb3050>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring inj_on5538052773655684606at_nat:((nat->product_prod_nat_nat)->(set_nat->Prop))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdafe60>, <kernel.DependentProduct object at 0xdb3050>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__String__Ochar
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring inj_on_nat_char:((nat->char)->(set_nat->Prop))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0xdb3128>, <kernel.DependentProduct object at 0xdb3248>) of role type named sy_c_Fun_Oinj__on_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring inj_on2178005380612969504at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->Prop))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0xdaffc8>, <kernel.DependentProduct object at 0xdb3248>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring inj_on_real_real:((real->real)->(set_real->Prop))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0xdaffc8>, <kernel.DependentProduct object at 0xdb3200>) of role type named sy_c_Fun_Oinj__on_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring inj_on_set_nat_nat:((set_nat->nat)->(set_set_nat->Prop))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0xdb3128>, <kernel.DependentProduct object at 0xdb3320>) of role type named sy_c_Fun_Omap__fun_001t__Code____Numeral__Ointeger_001t__Int__Oint_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring map_fu8272188784021352819nteger:((code_integer->int)->(((int->int)->(code_integer->code_integer))->((int->(int->int))->(code_integer->(code_integer->code_integer)))))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0xdb3200>, <kernel.DependentProduct object at 0xdb3488>) of role type named sy_c_Fun_Omap__fun_001t__Code____Numeral__Ointeger_001t__Int__Oint_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring map_fu2599414010547811884nteger:((code_integer->int)->((int->code_integer)->((int->int)->(code_integer->code_integer))))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0xdb3320>, <kernel.DependentProduct object at 0xdb33f8>) of role type named sy_c_Fun_Omap__fun_001t__Code____Numeral__Onatural_001t__Nat__Onat_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring map_fu6549440983881763648atural:((code_natural->nat)->(((nat->nat)->(code_natural->code_natural))->((nat->(nat->nat))->(code_natural->(code_natural->code_natural)))))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0xdb3488>, <kernel.DependentProduct object at 0xdb35a8>) of role type named sy_c_Fun_Omap__fun_001t__Code____Numeral__Onatural_001t__Nat__Onat_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring map_fu2787874002554666395nteger:((code_natural->nat)->((int->code_integer)->((nat->int)->(code_natural->code_integer))))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0xdb33f8>, <kernel.DependentProduct object at 0xdb3560>) of role type named sy_c_Fun_Omap__fun_001t__Code____Numeral__Onatural_001t__Nat__Onat_001t__Nat__Onat_001t__Code____Numeral__Onatural
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring map_fu1239815594074539274atural:((code_natural->nat)->((nat->code_natural)->((nat->nat)->(code_natural->code_natural))))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0xdb35a8>, <kernel.DependentProduct object at 0xdb36c8>) 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
% 0.53/0.73 Using role type
% 0.53/0.73 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)))))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0xdb3560>, <kernel.DependentProduct object at 0xdb3638>) 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
% 0.53/0.73 Using role type
% 0.53/0.73 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)))))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0xdb36c8>, <kernel.DependentProduct object at 0xdb3560>) 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 0xdb3638>, <kernel.DependentProduct object at 0xdb3908>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring map_fu2345160673673942751at_nat:((int->product_prod_nat_nat)->((nat->nat)->((product_prod_nat_nat->nat)->(int->nat))))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0xdb3560>, <kernel.DependentProduct object at 0xdb39e0>) 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 0xdb3908>, <kernel.DependentProduct object at 0xdb3a70>) of role type named sy_c_Fun_Omap__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring map_fu6290471996055670595nteger:((nat->nat)->((int->code_integer)->((nat->int)->(nat->code_integer))))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0xdb39e0>, <kernel.DependentProduct object at 0xdb3908>) 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 0xdb3a70>, <kernel.DependentProduct object at 0xdb3b48>) of role type named sy_c_Fun_Omap__fun_001t__Rat__Orat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring map_fu5673905371560938248nt_rat:((rat->product_prod_int_int)->((product_prod_int_int->rat)->((product_prod_int_int->product_prod_int_int)->(rat->rat))))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0xdb3908>, <kernel.DependentProduct object at 0xdb39e0>) 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 0xdb3b48>, <kernel.DependentProduct object at 0xdb3b00>) 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 0xdb39e0>, <kernel.DependentProduct object at 0xdb38c0>) 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 0xdb3b00>, <kernel.DependentProduct object at 0xdb3950>) 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 0xdb38c0>, <kernel.DependentProduct object at 0xdb3dd0>) 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 0xdb3830>, <kernel.DependentProduct object at 0xdb3b00>) of role type named sy_c_Fun__Def_Ois__measure_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring fun_is_measure_int:((int->nat)->Prop)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0xdb3cf8>, <kernel.Constant object at 0xdb3bd8>) 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 0xdb3dd0>, <kernel.Constant object at 0xdb3e60>) 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 0xdb3950>, <kernel.DependentProduct object at 0xdb3ea8>) 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:(set_int->int)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0xdb3b00>, <kernel.DependentProduct object at 0xdb3ef0>) 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:(set_nat->nat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0xdb3bd8>, <kernel.DependentProduct object at 0xdb3f38>) 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:(set_int->int)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0xdb3e60>, <kernel.DependentProduct object at 0xdb3f80>) 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:(set_nat->nat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0xdb3ea8>, <kernel.DependentProduct object at 0xdb3bd8>) 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 0xdb3fc8>, <kernel.DependentProduct object at 0xdb3e60>) 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 0xdb3950>, <kernel.DependentProduct object at 0xdb3f80>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Code____Numeral__Ointeger
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring gcd_gcd_Code_integer:(code_integer->(code_integer->code_integer))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0xdb3e60>, <kernel.DependentProduct object at 0xdb3ef0>) 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 0xdb3f80>, <kernel.DependentProduct object at 0xdb3ea8>) 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 0xdb3950>, <kernel.DependentProduct object at 0xdb91b8>) of role type named sy_c_GCD_Ogcd__class_Olcm_001t__Code____Numeral__Ointeger
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring gcd_lcm_Code_integer:(code_integer->(code_integer->code_integer))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0xdb3f80>, <kernel.DependentProduct object at 0xdb9200>) 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 0xdb3ea8>, <kernel.DependentProduct object at 0xdb9248>) 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 0xdb3f80>, <kernel.DependentProduct object at 0xdb90e0>) 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 0xdb3ea8>, <kernel.DependentProduct object at 0xdb91b8>) 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 0xdb3ea8>, <kernel.DependentProduct object at 0xdb92d8>) 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 0xdb9290>, <kernel.DependentProduct object at 0xdb9320>) 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)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0xdb90e0>, <kernel.DependentProduct object at 0xdb9368>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring abs_abs_rat:(rat->rat)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0xdb91b8>, <kernel.DependentProduct object at 0xdb93b0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring abs_abs_real:(real->real)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0xdb92d8>, <kernel.DependentProduct object at 0xdb93f8>) of role type named sy_c_Groups_Ocomm__monoid_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring comm_monoid_nat:((nat->(nat->nat))->(nat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0xdb91b8>, <kernel.DependentProduct object at 0xdb9320>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_8727706125548526216plex_o:((complex->Prop)->((complex->Prop)->(complex->Prop)))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0xdb9488>, <kernel.DependentProduct object at 0xdb94d0>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Int__Oint_M_Eo_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_minus_int_o:((int->Prop)->((int->Prop)->(int->Prop)))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0xdb91b8>, <kernel.DependentProduct object at 0xdb95a8>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_1139252259498527702_nat_o:((list_nat->Prop)->((list_nat->Prop)->(list_nat->Prop)))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0xdb9320>, <kernel.DependentProduct object at 0xdb9560>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Nat__Onat_M_Eo_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_minus_nat_o:((nat->Prop)->((nat->Prop)->(nat->Prop)))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0xdb91b8>, <kernel.DependentProduct object at 0xdb9680>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_2270307095948843157_nat_o:((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->(product_prod_nat_nat->Prop)))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0xdb95a8>, <kernel.DependentProduct object at 0xdb9638>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Real__Oreal_M_Eo_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_minus_real_o:((real->Prop)->((real->Prop)->(real->Prop)))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0xdb91b8>, <kernel.DependentProduct object at 0xdb9758>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_6910147592129066416_nat_o:((set_nat->Prop)->((set_nat->Prop)->(set_nat->Prop)))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0xdb9638>, <kernel.DependentProduct object at 0xdb91b8>) 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 0xdb9758>, <kernel.DependentProduct object at 0xdb9638>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Onatural
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_7197305767214868737atural:(code_natural->(code_natural->code_natural))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0xdb9680>, <kernel.DependentProduct object at 0xdb91b8>) 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 0xdb9758>, <kernel.DependentProduct object at 0xdb9680>) 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 0xdb98c0>, <kernel.DependentProduct object at 0xdb91b8>) 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 0xdb97a0>, <kernel.DependentProduct object at 0xdb9758>) 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 0xdb9998>, <kernel.DependentProduct object at 0xdb98c0>) 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 0xdb9638>, <kernel.DependentProduct object at 0xdb97a0>) 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 0xdb9998>, <kernel.DependentProduct object at 0xdb9638>) 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 0xdb9680>, <kernel.DependentProduct object at 0xdb97a0>) 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 0xdb9998>, <kernel.DependentProduct object at 0xdb9680>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_7954133019191499631st_nat:(set_list_nat->(set_list_nat->set_list_nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0xdb9b48>, <kernel.DependentProduct object at 0xdb97a0>) 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 0xdb9998>, <kernel.DependentProduct object at 0xdb9b00>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_1356011639430497352at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0xdb9638>, <kernel.DependentProduct object at 0xdb97a0>) 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 0xdb9998>, <kernel.DependentProduct object at 0xdb9638>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring minus_2163939370556025621et_nat:(set_set_nat->(set_set_nat->set_set_nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0xdb9050>, <kernel.DependentProduct object at 0xdb9dd0>) 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 0xdb9b00>, <kernel.Constant object at 0xdb9050>) 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 0xdb9d88>, <kernel.Constant object at 0xdb9050>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Onatural
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring one_one_Code_natural:code_natural
% 0.53/0.75 FOF formula (<kernel.Constant object at 0xdb9998>, <kernel.Constant object at 0xdb9050>) 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 0xdb9d88>, <kernel.Constant object at 0xdb9dd0>) 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 0xdb9e18>, <kernel.Constant object at 0xdb9dd0>) 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 0xdb9680>, <kernel.Constant object at 0xdb9dd0>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring one_one_nat:nat
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdb9ea8>, <kernel.Constant object at 0xdb9dd0>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring one_one_rat:rat
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdb9ef0>, <kernel.Constant object at 0xdb9dd0>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring one_one_real:real
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdb9ea8>, <kernel.DependentProduct object at 0xdb9f38>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdb9dd0>, <kernel.DependentProduct object at 0xdb9b48>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Onatural
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring plus_p4538020629002901425atural:(code_natural->(code_natural->code_natural))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdb9ea8>, <kernel.DependentProduct object at 0xdbb050>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdb9ea8>, <kernel.DependentProduct object at 0xdbb248>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdb9b48>, <kernel.DependentProduct object at 0xdbb0e0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring plus_plus_int:(int->(int->int))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdb9ea8>, <kernel.DependentProduct object at 0xdbb128>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdb9b48>, <kernel.DependentProduct object at 0xdbb2d8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring plus_plus_num:(num->(num->num))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdb9b48>, <kernel.DependentProduct object at 0xdbb320>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb1b8>, <kernel.DependentProduct object at 0xdbb248>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring plus_plus_real:(real->(real->real))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb200>, <kernel.DependentProduct object at 0xdbb170>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__String__Oliteral
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring plus_plus_literal:(literal->(literal->literal))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb0e0>, <kernel.DependentProduct object at 0xdbb128>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb320>, <kernel.DependentProduct object at 0xdbb2d8>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring sgn_sgn_complex:(complex->complex)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb248>, <kernel.DependentProduct object at 0xdbb4d0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring sgn_sgn_int:(int->int)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb170>, <kernel.DependentProduct object at 0xdbb518>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring sgn_sgn_rat:(rat->rat)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb128>, <kernel.DependentProduct object at 0xdbb560>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring sgn_sgn_real:(real->real)
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb170>, <kernel.DependentProduct object at 0xdbb128>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb560>, <kernel.DependentProduct object at 0xdbb170>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Onatural
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring times_2397367101498566445atural:(code_natural->(code_natural->code_natural))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb2d8>, <kernel.DependentProduct object at 0xdbb128>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring times_times_complex:(complex->(complex->complex))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb560>, <kernel.DependentProduct object at 0xdbb2d8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb710>, <kernel.DependentProduct object at 0xdbb128>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring times_times_int:(int->(int->int))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb5a8>, <kernel.DependentProduct object at 0xdbb560>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring times_times_nat:(nat->(nat->nat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb7e8>, <kernel.DependentProduct object at 0xdbb710>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring times_times_num:(num->(num->num))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb170>, <kernel.DependentProduct object at 0xdbb5a8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring times_times_rat:(rat->(rat->rat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb6c8>, <kernel.DependentProduct object at 0xdbb7e8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring times_times_real:(real->(real->real))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb170>, <kernel.DependentProduct object at 0xdbb6c8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring uminus1680532995456772888plex_o:((complex->Prop)->(complex->Prop))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb710>, <kernel.DependentProduct object at 0xdbb7e8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Int__Oint_M_Eo_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring uminus_uminus_int_o:((int->Prop)->(int->Prop))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb170>, <kernel.DependentProduct object at 0xdbb710>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring uminus5770388063884162150_nat_o:((list_nat->Prop)->(list_nat->Prop))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb2d8>, <kernel.DependentProduct object at 0xdbb7e8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Nat__Onat_M_Eo_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring uminus_uminus_nat_o:((nat->Prop)->(nat->Prop))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb710>, <kernel.DependentProduct object at 0xdbb170>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Real__Oreal_M_Eo_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring uminus_uminus_real_o:((real->Prop)->(real->Prop))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb2d8>, <kernel.DependentProduct object at 0xdbb710>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring uminus6401447641752708672_nat_o:((set_nat->Prop)->(set_nat->Prop))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0xdbb170>, <kernel.DependentProduct object at 0xdbbb90>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbb710>, <kernel.DependentProduct object at 0xdbbc20>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbb998>, <kernel.DependentProduct object at 0xdbbcb0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring uminus_uminus_int:(int->int)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbba70>, <kernel.DependentProduct object at 0xdbbcf8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring uminus_uminus_rat:(rat->rat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbbbd8>, <kernel.DependentProduct object at 0xdbbd40>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring uminus_uminus_real:(real->real)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbba70>, <kernel.DependentProduct object at 0xdbbd88>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring uminus8566677241136511917omplex:(set_complex->set_complex)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbbd40>, <kernel.DependentProduct object at 0xdbbe18>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring uminus1532241313380277803et_int:(set_int->set_int)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbbd88>, <kernel.DependentProduct object at 0xdbbea8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring uminus3195874150345416415st_nat:(set_list_nat->set_list_nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbbe18>, <kernel.DependentProduct object at 0xdbbf38>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbbea8>, <kernel.DependentProduct object at 0xdbbe18>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring uminus6524753893492686040at_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbbf38>, <kernel.DependentProduct object at 0xdbe098>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring uminus612125837232591019t_real:(set_real->set_real)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbbe18>, <kernel.DependentProduct object at 0xdbe128>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring uminus613421341184616069et_nat:(set_set_nat->set_set_nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbbe18>, <kernel.Constant object at 0xdbe128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring zero_z3403309356797280102nteger:code_integer
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbbea8>, <kernel.Constant object at 0xdbe128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Onatural
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring zero_z2226904508553997617atural:code_natural
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbbe18>, <kernel.Constant object at 0xdbe128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring zero_zero_complex:complex
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbe200>, <kernel.Constant object at 0xdbe0e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbbea8>, <kernel.Constant object at 0xdbe0e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring zero_zero_int:int
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbe2d8>, <kernel.Constant object at 0xdbe0e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring zero_zero_nat:nat
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbe320>, <kernel.Constant object at 0xdbe0e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring zero_zero_rat:rat
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbe368>, <kernel.Constant object at 0xdbe0e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring zero_zero_real:real
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbe3b0>, <kernel.Constant object at 0xdbe0e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__String__Oliteral
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring zero_zero_literal:literal
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbe368>, <kernel.DependentProduct object at 0xdbe3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups6621422865394947399nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbe0e0>, <kernel.DependentProduct object at 0xdbe3b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbe3f8>, <kernel.DependentProduct object at 0xdbe368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbe3b0>, <kernel.DependentProduct object at 0xdbe0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbe368>, <kernel.DependentProduct object at 0xdbe3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups5058264527183730370ex_rat:((complex->rat)->(set_complex->rat))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbe0e0>, <kernel.DependentProduct object at 0xdbe3b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbe3f8>, <kernel.DependentProduct object at 0xdbe368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups7873554091576472773nteger:((int->code_integer)->(set_int->code_integer))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbe3b0>, <kernel.DependentProduct object at 0xdbe0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Complex__Ocomplex
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups3049146728041665814omplex:((int->complex)->(set_int->complex))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbe368>, <kernel.DependentProduct object at 0xdbe3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbe0e0>, <kernel.DependentProduct object at 0xdbe3b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0xdbe3f8>, <kernel.DependentProduct object at 0xdbe368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Rat__Orat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups3906332499630173760nt_rat:((int->rat)->(set_int->rat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdbe3b0>, <kernel.DependentProduct object at 0xdbe0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdbe368>, <kernel.DependentProduct object at 0xdbe3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups7501900531339628137nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdbe0e0>, <kernel.DependentProduct object at 0xdbe3b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdbe3f8>, <kernel.DependentProduct object at 0xdbe368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdbe3b0>, <kernel.DependentProduct object at 0xdbe0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdbe368>, <kernel.DependentProduct object at 0xdbe3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Rat__Orat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups2906978787729119204at_rat:((nat->rat)->(set_nat->rat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdbe0e0>, <kernel.DependentProduct object at 0xdbe3b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdbe3f8>, <kernel.DependentProduct object at 0xdbe170>) 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
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups977919841031483927at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->nat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdbe3b0>, <kernel.DependentProduct object at 0xdbe368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups7713935264441627589nteger:((real->code_integer)->(set_real->code_integer))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdbe170>, <kernel.DependentProduct object at 0xdbe3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups5754745047067104278omplex:((real->complex)->(set_real->complex))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdbe368>, <kernel.DependentProduct object at 0xdbe170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Int__Oint
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups1932886352136224148al_int:((real->int)->(set_real->int))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdbe368>, <kernel.DependentProduct object at 0xdc00e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdbe368>, <kernel.DependentProduct object at 0xdc01b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Rat__Orat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups1300246762558778688al_rat:((real->rat)->(set_real->rat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdbeef0>, <kernel.DependentProduct object at 0xdc0128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdc0248>, <kernel.DependentProduct object at 0xdc0290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups8294997508430121362at_nat:((set_nat->nat)->(set_set_nat->nat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdc0320>, <kernel.DependentProduct object at 0xdc0200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups3708469109370488835omplex:((complex->complex)->(set_complex->complex))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdc02d8>, <kernel.DependentProduct object at 0xdc0248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Int__Oint
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups858564598930262913ex_int:((complex->int)->(set_complex->int))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdc03b0>, <kernel.DependentProduct object at 0xdc0440>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups861055069439313189ex_nat:((complex->nat)->(set_complex->nat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdc02d8>, <kernel.DependentProduct object at 0xdc0320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring groups225925009352817453ex_rat:((complex->rat)->(set_complex->rat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0xdc0440>, <kernel.DependentProduct object at 0xdc03b0>) 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 0xdc0320>, <kernel.DependentProduct object at 0xdc02d8>) 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 0xdc03b0>, <kernel.DependentProduct object at 0xdc0440>) 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 0xdc02d8>, <kernel.DependentProduct object at 0xdc0320>) 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 0xdc0440>, <kernel.DependentProduct object at 0xdc03b0>) 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 0xdc0320>, <kernel.DependentProduct object at 0xdc02d8>) 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 0xdc03b0>, <kernel.DependentProduct object at 0xdc0440>) 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 0xdc02d8>, <kernel.DependentProduct object at 0xdc0320>) 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 0xdc0440>, <kernel.DependentProduct object at 0xdc03b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0xdc0320>, <kernel.DependentProduct object at 0xdc02d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Rat__Orat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups73079841787564623at_rat:((nat->rat)->(set_nat->rat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0xdc03b0>, <kernel.DependentProduct object at 0xdc0440>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups129246275422532515t_real:((nat->real)->(set_nat->real))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0xdc02d8>, <kernel.DependentProduct object at 0xdc0320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups713298508707869441omplex:((real->complex)->(set_real->complex))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0xdc0440>, <kernel.DependentProduct object at 0xdc03b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Int__Oint
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups4694064378042380927al_int:((real->int)->(set_real->int))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0xdc0320>, <kernel.DependentProduct object at 0xdc02d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups4696554848551431203al_nat:((real->nat)->(set_real->nat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0xdc03b0>, <kernel.DependentProduct object at 0xdc0440>) 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 0xdc02d8>, <kernel.DependentProduct object at 0xdc0320>) 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 0xdc0440>, <kernel.DependentProduct object at 0xdc02d8>) 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 0xdc0320>, <kernel.DependentProduct object at 0xdc0440>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups9119017779487936845_o_nat:((Prop->nat)->(nat->(list_o->nat)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0xdc02d8>, <kernel.DependentProduct object at 0x11ca128>) 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 0xdc0368>, <kernel.DependentProduct object at 0x11ca170>) 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 0xdc0098>, <kernel.DependentProduct object at 0x11ca098>) 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 0xdc0440>, <kernel.DependentProduct object at 0x11ca248>) 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 0xdc0368>, <kernel.DependentProduct object at 0x11ca290>) 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 0xdc0440>, <kernel.DependentProduct object at 0x11ca290>) 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 0xdc0368>, <kernel.DependentProduct object at 0x11ca290>) of role type named sy_c_If_001t__Code____Numeral__Onatural
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_Code_natural:(Prop->(code_natural->(code_natural->code_natural)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11ca368>, <kernel.DependentProduct object at 0x11ca050>) 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 0x11ca2d8>, <kernel.DependentProduct object at 0x11ca368>) 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 0x11ca1b8>, <kernel.DependentProduct object at 0x11ca368>) 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 0x11ca3b0>, <kernel.DependentProduct object at 0x11ca368>) 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 0x11ca488>, <kernel.DependentProduct object at 0x11ca368>) 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 0x11ca4d0>, <kernel.DependentProduct object at 0x11ca368>) 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 0x11ca518>, <kernel.DependentProduct object at 0x11ca368>) 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 0x11ca560>, <kernel.DependentProduct object at 0x11ca368>) 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 0x11ca518>, <kernel.DependentProduct object at 0x11ca2d8>) 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 0x11ca368>, <kernel.DependentProduct object at 0x11ca0e0>) 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 0x11ca2d8>, <kernel.DependentProduct object at 0x11ca3f8>) 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 0x11ca0e0>, <kernel.DependentProduct object at 0x11ca560>) 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 0x11ca710>, <kernel.DependentProduct object at 0x11ca560>) of role type named sy_c_If_001t__Rat__Orat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11ca7a0>, <kernel.DependentProduct object at 0x11ca560>) of role type named sy_c_If_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_real:(Prop->(real->(real->real)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11ca878>, <kernel.DependentProduct object at 0x11ca560>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11ca7a0>, <kernel.DependentProduct object at 0x11ca878>) of role type named sy_c_Infinite__Set_Owellorder__class_Oenumerate_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring infini8530281810654367211te_nat:(set_nat->(nat->nat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11ca908>, <kernel.DependentProduct object at 0x11ca8c0>) of role type named sy_c_Int_OAbs__Integ
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring abs_Integ:(product_prod_nat_nat->int)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11ca0e0>, <kernel.DependentProduct object at 0x11ca950>) of role type named sy_c_Int_ONeg
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring neg:(num->int)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11ca710>, <kernel.DependentProduct object at 0x11ca998>) of role type named sy_c_Int_OPos
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring pos:(num->int)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11ca878>, <kernel.DependentProduct object at 0x11ca9e0>) of role type named sy_c_Int_ORep__Integ
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring rep_Integ:(int->product_prod_nat_nat)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11ca8c0>, <kernel.DependentProduct object at 0x11ca710>) of role type named sy_c_Int_Ocr__int
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring cr_int:(product_prod_nat_nat->(int->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11ca908>, <kernel.DependentProduct object at 0x11caa28>) of role type named sy_c_Int_Odup
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring dup:(int->int)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11ca248>, <kernel.DependentProduct object at 0x11ca908>) of role type named sy_c_Int_Oint__ge__less__than
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring int_ge_less_than:(int->set_Pr958786334691620121nt_int)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11ca998>, <kernel.DependentProduct object at 0x11caa28>) of role type named sy_c_Int_Oint__ge__less__than2
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring int_ge_less_than2:(int->set_Pr958786334691620121nt_int)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11caa70>, <kernel.DependentProduct object at 0x11ca8c0>) of role type named sy_c_Int_Ointrel
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring intrel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11ca908>, <kernel.DependentProduct object at 0x11cab00>) of role type named sy_c_Int_Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring nat2:(int->nat)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11ca9e0>, <kernel.DependentProduct object at 0x11caa70>) of role type named sy_c_Int_Opcr__int
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring pcr_int:(product_prod_nat_nat->(int->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11cab90>, <kernel.DependentProduct object at 0x11ca908>) of role type named sy_c_Int_Opower__int_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring power_int_real:(real->(int->real))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11ca9e0>, <kernel.Constant object at 0x11cab00>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Code____Numeral__Ointeger
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ring_11222124179247155820nteger:set_Code_integer
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11caa70>, <kernel.Constant object at 0x11cab00>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Complex__Ocomplex
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ring_1_Ints_complex:set_complex
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11cacb0>, <kernel.Constant object at 0x11cab00>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Int__Oint
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ring_1_Ints_int:set_int
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11cac68>, <kernel.Constant object at 0x11cab00>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Rat__Orat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ring_1_Ints_rat:set_rat
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11ca8c0>, <kernel.Constant object at 0x11cab00>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ring_1_Ints_real:set_real
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x11cac68>, <kernel.DependentProduct object at 0x11cae18>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11cab00>, <kernel.DependentProduct object at 0x11caea8>) 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 0x11cacf8>, <kernel.DependentProduct object at 0x11caf38>) 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 0x11cadd0>, <kernel.DependentProduct object at 0x11caf80>) 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 0x11cae60>, <kernel.DependentProduct object at 0x11cafc8>) 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 0x11caea8>, <kernel.DependentProduct object at 0x11cadd0>) of role type named sy_c_Int_Osub
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring sub:(num->(num->int))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11cafc8>, <kernel.DependentProduct object at 0x11caf80>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring inf_inf_int:(int->(int->int))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11cadd0>, <kernel.DependentProduct object at 0x11cab00>) 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 0x11cafc8>, <kernel.DependentProduct object at 0x11af050>) 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 0x11cafc8>, <kernel.DependentProduct object at 0x11af170>) 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 0x11caf80>, <kernel.DependentProduct object at 0x11af128>) 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 0x11cab00>, <kernel.DependentProduct object at 0x11af248>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring sup_sup_int:(int->(int->int))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11caf80>, <kernel.DependentProduct object at 0x11af320>) 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 0x11af368>, <kernel.DependentProduct object at 0x11af128>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring sup_su6327502436637775413at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11af3b0>, <kernel.DependentProduct object at 0x11af248>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring lattic8263393255366662781ax_int:(set_int->int)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11af368>, <kernel.DependentProduct object at 0x11af488>) 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 0x11af248>, <kernel.DependentProduct object at 0x11af518>) of role type named sy_c_Lattices__Big_Osemilattice__neutr__set_OF_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring lattic7826324295020591184_F_nat:((nat->(nat->nat))->(nat->(set_nat->nat)))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11af488>, <kernel.DependentProduct object at 0x11af5a8>) of role type named sy_c_Lifting_OQuotient_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring quotie3684837364556693515t_real:(((nat->rat)->((nat->rat)->Prop))->(((nat->rat)->real)->((real->(nat->rat))->(((nat->rat)->(real->Prop))->Prop))))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11af518>, <kernel.DependentProduct object at 0x11af758>) of role type named sy_c_Lifting_OQuotient_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring quotie1194848508323700631at_int:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((product_prod_nat_nat->int)->((int->product_prod_nat_nat)->((product_prod_nat_nat->(int->Prop))->Prop))))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11af5f0>, <kernel.DependentProduct object at 0x11af638>) of role type named sy_c_Limits_OBfun_001t__Nat__Onat_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring bfun_nat_real:((nat->real)->(filter_nat->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11af290>, <kernel.DependentProduct object at 0x11af5f0>) of role type named sy_c_List_Oappend_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring append_int:(list_int->(list_int->list_int))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11af758>, <kernel.DependentProduct object at 0x11af638>) of role type named sy_c_List_Oappend_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring append_nat:(list_nat->(list_nat->list_nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11af710>, <kernel.DependentProduct object at 0x11af7e8>) of role type named sy_c_List_Ofold_001t__Int__Oint_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring fold_int_int:((int->(int->int))->(list_int->(int->int)))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11af6c8>, <kernel.DependentProduct object at 0x11af7a0>) of role type named sy_c_List_Ofold_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring fold_nat_nat:((nat->(nat->nat))->(list_nat->(nat->nat)))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11af2d8>, <kernel.DependentProduct object at 0x11af908>) of role type named sy_c_List_Olast_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring last_nat:(list_nat->nat)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11af710>, <kernel.DependentProduct object at 0x11af6c8>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11af290>, <kernel.DependentProduct object at 0x11af2d8>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring cons_int:(int->(list_int->list_int))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11af7e8>, <kernel.DependentProduct object at 0x11af710>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11af950>, <kernel.Constant object at 0x11af710>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring nil_int:list_int
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11af2d8>, <kernel.Constant object at 0x11af710>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring nil_nat:list_nat
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11af8c0>, <kernel.DependentProduct object at 0x11afa70>) of role type named sy_c_List_Olist_Ohd_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring hd_nat:(list_nat->nat)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11af9e0>, <kernel.DependentProduct object at 0x11afa70>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring map_nat_nat:((nat->nat)->(list_nat->list_nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x11af710>, <kernel.DependentProduct object at 0x11af950>) of role type named sy_c_List_Olist_Omap_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring map_VE8901447254227204932T_VEBT:((vEBT_VEBT->vEBT_VEBT)->(list_VEBT_VEBT->list_VEBT_VEBT))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11af9e0>, <kernel.DependentProduct object at 0x11af8c0>) 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 0x11af2d8>, <kernel.DependentProduct object at 0x11afb90>) 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 0x11af488>, <kernel.DependentProduct object at 0x11afbd8>) 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 0x11af950>, <kernel.DependentProduct object at 0x11afc20>) 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 0x11af8c0>, <kernel.DependentProduct object at 0x11afc68>) 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 0x11afb90>, <kernel.DependentProduct object at 0x11afcb0>) of role type named sy_c_List_Olist_Oset_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring set_set_nat2:(list_set_nat->set_set_nat)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11afbd8>, <kernel.DependentProduct object at 0x11afcf8>) 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 0x11afc20>, <kernel.DependentProduct object at 0x11afc68>) 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 0x11af7a0>, <kernel.DependentProduct object at 0x11af950>) of role type named sy_c_List_Olist_Otl_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring tl_nat:(list_nat->list_nat)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11afd40>, <kernel.DependentProduct object at 0x11afbd8>) 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 0x11afcb0>, <kernel.DependentProduct object at 0x11afc68>) of role type named sy_c_List_Onth_001t__Complex__Ocomplex
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nth_complex:(list_complex->(nat->complex))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11afb90>, <kernel.DependentProduct object at 0x11afcb0>) 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 0x11afc20>, <kernel.DependentProduct object at 0x11afc68>) 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 0x11afcf8>, <kernel.DependentProduct object at 0x11afb90>) 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 0x11afbd8>, <kernel.DependentProduct object at 0x11afd40>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nth_Product_prod_o_o:(list_P4002435161011370285od_o_o->(nat->product_prod_o_o))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11afc20>, <kernel.DependentProduct object at 0x11afbd8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nth_Pr1649062631805364268_o_int:(list_P3795440434834930179_o_int->(nat->product_prod_o_int))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11afd40>, <kernel.DependentProduct object at 0x11afc20>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nth_Pr5826913651314560976_o_nat:(list_P6285523579766656935_o_nat->(nat->product_prod_o_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11afbd8>, <kernel.DependentProduct object at 0x11b30e0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nth_Pr6777367263587873994T_VEBT:(list_P7495141550334521929T_VEBT->(nat->produc2504756804600209347T_VEBT))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11afc20>, <kernel.DependentProduct object at 0x11af950>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nth_Pr8326237132889035090at_num:(list_P1726324292696863441at_num->(nat->product_prod_nat_num))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11af950>, <kernel.DependentProduct object at 0x11b3170>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nth_Pr6456567536196504476um_num:(list_P3744719386663036955um_num->(nat->product_prod_num_num))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11afbd8>, <kernel.DependentProduct object at 0x11b3248>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b31b8>, <kernel.DependentProduct object at 0x11b3320>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nth_Pr6837108013167703752BT_int:(list_P4547456442757143711BT_int->(nat->produc4894624898956917775BT_int))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3368>, <kernel.DependentProduct object at 0x11b33b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nth_Pr1791586995822124652BT_nat:(list_P7037539587688870467BT_nat->(nat->produc9072475918466114483BT_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3248>, <kernel.DependentProduct object at 0x11b3440>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3320>, <kernel.DependentProduct object at 0x11b3248>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nth_real:(list_real->(nat->real))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3518>, <kernel.DependentProduct object at 0x11b33f8>) of role type named sy_c_List_Onth_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nth_set_nat:(list_set_nat->(nat->set_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b35a8>, <kernel.DependentProduct object at 0x11b3440>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3488>, <kernel.DependentProduct object at 0x11b35a8>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3638>, <kernel.DependentProduct object at 0x11b3518>) of role type named sy_c_List_Oproduct_001_Eo_001t__Int__Oint
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring product_o_int:(list_o->(list_int->list_P3795440434834930179_o_int))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3680>, <kernel.DependentProduct object at 0x11b3440>) of role type named sy_c_List_Oproduct_001_Eo_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring product_o_nat:(list_o->(list_nat->list_P6285523579766656935_o_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b33f8>, <kernel.DependentProduct object at 0x11b3638>) of role type named sy_c_List_Oproduct_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring product_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3098>, <kernel.DependentProduct object at 0x11b3680>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001_Eo
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring product_nat_o:(list_nat->(list_o->list_P7333126701944960589_nat_o))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b36c8>, <kernel.DependentProduct object at 0x11b33f8>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__Num__Onum
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring product_nat_num:(list_nat->(list_num->list_P1726324292696863441at_num))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3098>, <kernel.DependentProduct object at 0x11b36c8>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc7156399406898700509T_VEBT:(list_nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3758>, <kernel.DependentProduct object at 0x11b33f8>) of role type named sy_c_List_Oproduct_001t__Num__Onum_001t__Num__Onum
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring product_num_num:(list_num->(list_num->list_P3744719386663036955um_num))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3830>, <kernel.DependentProduct object at 0x11b3098>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3758>, <kernel.DependentProduct object at 0x11b3830>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc7292646706713671643BT_int:(list_VEBT_VEBT->(list_int->list_P4547456442757143711BT_int))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3098>, <kernel.DependentProduct object at 0x11b3758>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc7295137177222721919BT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3830>, <kernel.DependentProduct object at 0x11b3098>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b39e0>, <kernel.DependentProduct object at 0x11b38c0>) of role type named sy_c_List_Oreplicate_001_Eo
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring replicate_o:(nat->(Prop->list_o))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3a28>, <kernel.DependentProduct object at 0x11b3830>) of role type named sy_c_List_Oreplicate_001t__Complex__Ocomplex
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring replicate_complex:(nat->(complex->list_complex))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3758>, <kernel.DependentProduct object at 0x11b39e0>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring replicate_int:(nat->(int->list_int))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3ab8>, <kernel.DependentProduct object at 0x11b3a28>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3878>, <kernel.DependentProduct object at 0x11b3758>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring replicate_real:(nat->(real->list_real))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3098>, <kernel.DependentProduct object at 0x11b3ab8>) of role type named sy_c_List_Oreplicate_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring replicate_set_nat:(nat->(set_nat->list_set_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b38c0>, <kernel.DependentProduct object at 0x11b3878>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3830>, <kernel.DependentProduct object at 0x11b39e0>) of role type named sy_c_List_Orotate1_001_Eo
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring rotate1_o:(list_o->list_o)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x11b3560>, <kernel.DependentProduct object at 0x11b3cb0>) of role type named sy_c_List_Orotate1_001t__Int__Oint
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring rotate1_int:(list_int->list_int)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b3758>, <kernel.DependentProduct object at 0x11b3cf8>) of role type named sy_c_List_Orotate1_001t__Nat__Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring rotate1_nat:(list_nat->list_nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b3c68>, <kernel.DependentProduct object at 0x11b39e0>) of role type named sy_c_List_Orotate1_001t__VEBT____Definitions__OVEBT
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring rotate1_VEBT_VEBT:(list_VEBT_VEBT->list_VEBT_VEBT)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b3cf8>, <kernel.DependentProduct object at 0x11b3830>) of role type named sy_c_List_Osorted__wrt_001t__Int__Oint
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring sorted_wrt_int:((int->(int->Prop))->(list_int->Prop))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b39e0>, <kernel.DependentProduct object at 0x11b38c0>) of role type named sy_c_List_Osorted__wrt_001t__Nat__Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring sorted_wrt_nat:((nat->(nat->Prop))->(list_nat->Prop))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b3830>, <kernel.DependentProduct object at 0x11b3cf8>) of role type named sy_c_List_Otake_001t__VEBT____Definitions__OVEBT
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring take_VEBT_VEBT:(nat->(list_VEBT_VEBT->list_VEBT_VEBT))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b3dd0>, <kernel.DependentProduct object at 0x11b39e0>) of role type named sy_c_List_Oupt
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring upt:(nat->(nat->list_nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b3e18>, <kernel.DependentProduct object at 0x11b3830>) of role type named sy_c_List_Oupto
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring upto:(int->(int->list_int))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b3560>, <kernel.DependentProduct object at 0x11b3dd0>) of role type named sy_c_List_Oupto__aux
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b3d88>, <kernel.DependentProduct object at 0x11b3e18>) of role type named sy_c_List_Oupto__rel
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring upto_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b3f38>, <kernel.DependentProduct object at 0x11b3c68>) of role type named sy_c_Nat_OSuc
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring suc:(nat->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b3830>, <kernel.DependentProduct object at 0x11b3d88>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b3878>, <kernel.DependentProduct object at 0x11b3cf8>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b3f80>, <kernel.DependentProduct object at 0x11b3cf8>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b3e18>, <kernel.DependentProduct object at 0x11b5050>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Option__Ooption_It__Num__Onum_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring case_nat_option_num:(option_num->((nat->option_num)->(nat->option_num)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b3f38>, <kernel.DependentProduct object at 0x11b50e0>) of role type named sy_c_Nat_Onat_Opred
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring pred:(nat->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b3cf8>, <kernel.Constant object at 0x11b3c68>) of role type named sy_c_Nat_Osemiring__1__class_ONats_001t__Int__Oint
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring semiring_1_Nats_int:set_int
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b3cf8>, <kernel.DependentProduct object at 0x11b5098>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b3cf8>, <kernel.DependentProduct object at 0x11b5200>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Onatural
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring semiri3763490453095760265atural:(nat->code_natural)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b3e18>, <kernel.DependentProduct object at 0x11b5290>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b5098>, <kernel.DependentProduct object at 0x11b5320>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b5050>, <kernel.DependentProduct object at 0x11b53b0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b5200>, <kernel.DependentProduct object at 0x11b5440>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b50e0>, <kernel.DependentProduct object at 0x11b54d0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b5098>, <kernel.DependentProduct object at 0x11b5560>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_size_list_o:(list_o->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b50e0>, <kernel.DependentProduct object at 0x11b55a8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b53b0>, <kernel.DependentProduct object at 0x11b5638>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_size_list_int:(list_int->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b54d0>, <kernel.DependentProduct object at 0x11b5680>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_size_list_nat:(list_nat->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b5200>, <kernel.DependentProduct object at 0x11b56c8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Num__Onum_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_size_list_num:(list_num->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b54d0>, <kernel.DependentProduct object at 0x11b5710>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_s1515746228057227161od_o_o:(list_P4002435161011370285od_o_o->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b56c8>, <kernel.DependentProduct object at 0x11b57a0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_s2953683556165314199_o_int:(list_P3795440434834930179_o_int->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b5710>, <kernel.DependentProduct object at 0x11b5830>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_s5443766701097040955_o_nat:(list_P6285523579766656935_o_nat->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b57a0>, <kernel.DependentProduct object at 0x11b58c0>) 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
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_s4313452262239582901T_VEBT:(list_P7495141550334521929T_VEBT->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b5830>, <kernel.DependentProduct object at 0x11b5950>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_s6491369823275344609_nat_o:(list_P7333126701944960589_nat_o->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b58c0>, <kernel.DependentProduct object at 0x11b59e0>) 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
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_s4762443039079500285T_VEBT:(list_P5647936690300460905T_VEBT->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b5950>, <kernel.DependentProduct object at 0x11b5a70>) 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
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_s9168528473962070013VEBT_o:(list_P3126845725202233233VEBT_o->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b59e0>, <kernel.DependentProduct object at 0x11b5b00>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_s3661962791536183091BT_int:(list_P4547456442757143711BT_int->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b5a70>, <kernel.DependentProduct object at 0x11b5b90>) 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
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_s6152045936467909847BT_nat:(list_P7037539587688870467BT_nat->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b5b00>, <kernel.DependentProduct object at 0x11b5c20>) 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
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_s7466405169056248089T_VEBT:(list_P7413028617227757229T_VEBT->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b5b48>, <kernel.DependentProduct object at 0x11b5cb0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_size_list_real:(list_real->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b5b00>, <kernel.DependentProduct object at 0x11b5cf8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_s3254054031482475050et_nat:(list_set_nat->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b5cb0>, <kernel.DependentProduct object at 0x11b5d88>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b59e0>, <kernel.DependentProduct object at 0x11b5e18>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_size_num:(num->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b5b90>, <kernel.DependentProduct object at 0x11b5e60>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_size_option_num:(option_num->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b59e0>, <kernel.DependentProduct object at 0x11b5ea8>) 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
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b5e18>, <kernel.DependentProduct object at 0x11b5f38>) of role type named sy_c_Nat_Osize__class_Osize_001t__String__Ochar
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_size_char:(char->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b5cf8>, <kernel.DependentProduct object at 0x11b5f80>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b5290>, <kernel.DependentProduct object at 0x11b8050>) of role type named sy_c_Nat__Bijection_Oint__decode
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring nat_int_decode:(nat->int)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b5cb0>, <kernel.DependentProduct object at 0x11b8098>) of role type named sy_c_Nat__Bijection_Oint__encode
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring nat_int_encode:(int->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x11b5f38>, <kernel.DependentProduct object at 0x11b80e0>) of role type named sy_c_Nat__Bijection_Olist__decode
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring nat_list_decode:(nat->list_nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b5e60>, <kernel.DependentProduct object at 0x11b8098>) of role type named sy_c_Nat__Bijection_Olist__decode__rel
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring nat_list_decode_rel:(nat->(nat->Prop))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b5ea8>, <kernel.DependentProduct object at 0x11b8170>) of role type named sy_c_Nat__Bijection_Olist__encode
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring nat_list_encode:(list_nat->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b5e60>, <kernel.DependentProduct object at 0x11b80e0>) of role type named sy_c_Nat__Bijection_Olist__encode__rel
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring nat_list_encode_rel:(list_nat->(list_nat->Prop))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b5cb0>, <kernel.DependentProduct object at 0x11b8200>) of role type named sy_c_Nat__Bijection_Oprod__decode
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring nat_prod_decode:(nat->product_prod_nat_nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b5290>, <kernel.DependentProduct object at 0x11b80e0>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b81b8>, <kernel.DependentProduct object at 0x11b8290>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b5cb0>, <kernel.DependentProduct object at 0x11b8320>) of role type named sy_c_Nat__Bijection_Oprod__encode
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring nat_prod_encode:(product_prod_nat_nat->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8050>, <kernel.DependentProduct object at 0x11b8368>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring nat_set_decode:(nat->set_nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8248>, <kernel.DependentProduct object at 0x11b83b0>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring nat_set_encode:(set_nat->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8098>, <kernel.DependentProduct object at 0x11b83f8>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring nat_triangle:(nat->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8320>, <kernel.DependentProduct object at 0x11b80e0>) of role type named sy_c_NthRoot_Oroot
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring root:(nat->(real->real))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8050>, <kernel.DependentProduct object at 0x11b8440>) of role type named sy_c_NthRoot_Osqrt
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring sqrt:(real->real)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8368>, <kernel.DependentProduct object at 0x11b83f8>) of role type named sy_c_Num_OBitM
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring bitM:(num->num)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8098>, <kernel.DependentProduct object at 0x11b84d0>) of role type named sy_c_Num_Oinc
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring inc:(num->num)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b80e0>, <kernel.DependentProduct object at 0x11b8518>) of role type named sy_c_Num_Onat__of__num
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring nat_of_num:(num->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8098>, <kernel.DependentProduct object at 0x11b8560>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8518>, <kernel.DependentProduct object at 0x11b85f0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8440>, <kernel.DependentProduct object at 0x11b8680>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring neg_numeral_dbl_int:(int->int)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8368>, <kernel.DependentProduct object at 0x11b86c8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b85a8>, <kernel.DependentProduct object at 0x11b8710>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring neg_numeral_dbl_real:(real->real)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8368>, <kernel.DependentProduct object at 0x11b8758>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8710>, <kernel.DependentProduct object at 0x11b87e8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8758>, <kernel.DependentProduct object at 0x11b8878>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b87e8>, <kernel.DependentProduct object at 0x11b8908>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8878>, <kernel.DependentProduct object at 0x11b8998>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8908>, <kernel.DependentProduct object at 0x11b8a28>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Code____Numeral__Ointeger
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring neg_nu5831290666863070958nteger:(code_integer->code_integer)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8998>, <kernel.DependentProduct object at 0x11b8ab8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Complex__Ocomplex
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring neg_nu8557863876264182079omplex:(complex->complex)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8a28>, <kernel.DependentProduct object at 0x11b8b48>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Int__Oint
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring neg_nu5851722552734809277nc_int:(int->int)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8ab8>, <kernel.DependentProduct object at 0x11b8bd8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Rat__Orat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring neg_nu5219082963157363817nc_rat:(rat->rat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8b48>, <kernel.DependentProduct object at 0x11b8c68>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Real__Oreal
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring neg_nu8295874005876285629c_real:(real->real)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b85f0>, <kernel.DependentProduct object at 0x11b8bd8>) of role type named sy_c_Num_Oneg__numeral__class_Osub_001t__Int__Oint
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring neg_numeral_sub_int:(num->(num->int))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8cf8>, <kernel.DependentProduct object at 0x11b8d40>) of role type named sy_c_Num_Onum_OBit0
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring bit0:(num->num)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8c20>, <kernel.DependentProduct object at 0x11b8b90>) of role type named sy_c_Num_Onum_OBit1
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring bit1:(num->num)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8c68>, <kernel.Constant object at 0x11b8b90>) of role type named sy_c_Num_Onum_OOne
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring one:num
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8d40>, <kernel.DependentProduct object at 0x11b8ea8>) of role type named sy_c_Num_Onum_Ocase__num_001t__Option__Ooption_It__Num__Onum_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring case_num_option_num:(option_num->((num->option_num)->((num->option_num)->(num->option_num))))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8e60>, <kernel.DependentProduct object at 0x11b8e18>) of role type named sy_c_Num_Onum_Osize__num
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_num:(num->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8b48>, <kernel.DependentProduct object at 0x11b8c20>) of role type named sy_c_Num_Onum__of__nat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring num_of_nat:(nat->num)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8e60>, <kernel.DependentProduct object at 0x11b85f0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8c20>, <kernel.DependentProduct object at 0x11b8f80>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Onatural
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring numera5444537566228673987atural:(num->code_natural)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b85f0>, <kernel.DependentProduct object at 0x11bb050>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring numera6690914467698888265omplex:(num->complex)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8f80>, <kernel.DependentProduct object at 0x11bb0e0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8b90>, <kernel.DependentProduct object at 0x11bb170>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring numeral_numeral_int:(num->int)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8fc8>, <kernel.DependentProduct object at 0x11bb1b8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring numeral_numeral_nat:(num->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8f80>, <kernel.DependentProduct object at 0x11bb200>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring numeral_numeral_rat:(num->rat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8fc8>, <kernel.DependentProduct object at 0x11bb248>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring numeral_numeral_real:(num->real)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8b90>, <kernel.DependentProduct object at 0x11bb200>) of role type named sy_c_Num_Opow
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring pow:(num->(num->num))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11b8b90>, <kernel.DependentProduct object at 0x11bb2d8>) of role type named sy_c_Num_Opred__numeral
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring pred_numeral:(num->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb050>, <kernel.DependentProduct object at 0x11bb0e0>) of role type named sy_c_Num_Osqr
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring sqr:(num->num)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb248>, <kernel.Constant object at 0x11bb0e0>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring none_num:option_num
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb050>, <kernel.Constant object at 0x11bb2d8>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb290>, <kernel.DependentProduct object at 0x11bb440>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring some_num:(num->option_num)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb050>, <kernel.DependentProduct object at 0x11bb290>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb440>, <kernel.DependentProduct object at 0x11bb518>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb560>, <kernel.DependentProduct object at 0x11bb638>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Int__Oint_001t__Num__Onum
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring case_option_int_num:(int->((num->int)->(option_num->int)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb5f0>, <kernel.DependentProduct object at 0x11bb680>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb560>, <kernel.DependentProduct object at 0x11bb050>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb710>, <kernel.DependentProduct object at 0x11bb488>) of role type named sy_c_Option_Ooption_Omap__option_001t__Num__Onum_001t__Num__Onum
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring map_option_num_num:((num->num)->(option_num->option_num))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb680>, <kernel.DependentProduct object at 0x11bb6c8>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb710>, <kernel.DependentProduct object at 0x11bb758>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb560>, <kernel.DependentProduct object at 0x11bb6c8>) of role type named sy_c_Order__Relation_OunderS_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring order_underS_nat:(set_Pr1261947904930325089at_nat->(nat->set_nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb710>, <kernel.DependentProduct object at 0x11bb758>) of role type named sy_c_Order__Relation_Owell__order__on_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring order_2888998067076097458on_nat:(set_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb878>, <kernel.DependentProduct object at 0x11bb560>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_Eo_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring bot_bot_nat_o:(nat->Prop)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb6c8>, <kernel.Constant object at 0x11bb560>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring bot_bot_nat:nat
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb758>, <kernel.Constant object at 0x11bb560>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring bot_bot_set_complex:set_complex
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb7a0>, <kernel.Constant object at 0x11bb560>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring bot_bot_set_int:set_int
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb8c0>, <kernel.Constant object at 0x11bb560>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring bot_bot_set_nat:set_nat
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb908>, <kernel.Constant object at 0x11bb560>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Num__Onum_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring bot_bot_set_num:set_num
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb8c0>, <kernel.Constant object at 0x11bb950>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring bot_bo2099793752762293965at_nat:set_Pr1261947904930325089at_nat
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x11bb9e0>, <kernel.Constant object at 0x11bb950>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Rat__Orat_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring bot_bot_set_rat:set_rat
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bba28>, <kernel.Constant object at 0x11bb950>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring bot_bot_set_real:set_real
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bba70>, <kernel.Constant object at 0x11bb950>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring bot_bot_set_set_nat:set_set_nat
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bba28>, <kernel.Constant object at 0x11bb998>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring bot_bo8194388402131092736T_VEBT:set_VEBT_VEBT
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bbb00>, <kernel.DependentProduct object at 0x11bbc68>) of role type named sy_c_Orderings_Oord__class_OLeast_001t__Nat__Onat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_Least_nat:((nat->Prop)->nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bbab8>, <kernel.DependentProduct object at 0x11bbcb0>) of role type named sy_c_Orderings_Oord__class_OLeast_001t__Real__Oreal
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_Least_real:((real->Prop)->real)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bbb00>, <kernel.DependentProduct object at 0x11bbab8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bbcb0>, <kernel.DependentProduct object at 0x11bbb00>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Onatural
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_le5570908160329646204atural:(code_natural->(code_natural->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bbab8>, <kernel.DependentProduct object at 0x11bbcb0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bbdd0>, <kernel.DependentProduct object at 0x11bbb00>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_less_int:(int->(int->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bbe60>, <kernel.DependentProduct object at 0x11bbab8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bbbd8>, <kernel.DependentProduct object at 0x11bbdd0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_less_num:(num->(num->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bbd40>, <kernel.DependentProduct object at 0x11bbe60>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bbcb0>, <kernel.DependentProduct object at 0x11bbbd8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_less_real:(real->(real->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bbd40>, <kernel.DependentProduct object at 0x11bbcb0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_le1307284697595431911nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bbab8>, <kernel.DependentProduct object at 0x11cd050>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bbcb0>, <kernel.DependentProduct object at 0x11cd128>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bbe60>, <kernel.DependentProduct object at 0x11cd170>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bbab8>, <kernel.DependentProduct object at 0x11cd1b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bbe60>, <kernel.DependentProduct object at 0x11cd1b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_le7866589430770878221at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bbab8>, <kernel.DependentProduct object at 0x11cd0e0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bbcb0>, <kernel.DependentProduct object at 0x11cd248>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11bbcb0>, <kernel.DependentProduct object at 0x11cd050>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_less_set_set_nat:(set_set_nat->(set_set_nat->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11cd1b8>, <kernel.DependentProduct object at 0x11cd200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11cd050>, <kernel.DependentProduct object at 0x11cd1b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Onatural
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_le1926595141338095240atural:(code_natural->(code_natural->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11cd200>, <kernel.DependentProduct object at 0x11cd050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11cd440>, <kernel.DependentProduct object at 0x11cd1b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11cd4d0>, <kernel.DependentProduct object at 0x11cd200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11cd128>, <kernel.DependentProduct object at 0x11cd440>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11cd3b0>, <kernel.DependentProduct object at 0x11cd4d0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11cd050>, <kernel.DependentProduct object at 0x11cd128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11cd3b0>, <kernel.DependentProduct object at 0x11cd050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring ord_le7084787975880047091nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x11cd128>, <kernel.DependentProduct object at 0x11cd3b0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cd6c8>, <kernel.DependentProduct object at 0x11cd050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cd758>, <kernel.DependentProduct object at 0x11cd128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cd6c8>, <kernel.DependentProduct object at 0x11cd3b0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_le3146513528884898305at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cd830>, <kernel.DependentProduct object at 0x11cd128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cd6c8>, <kernel.DependentProduct object at 0x11cd830>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_le6893508408891458716et_nat:(set_set_nat->(set_set_nat->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cd200>, <kernel.DependentProduct object at 0x11cd128>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_max_int:(int->(int->int))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cd998>, <kernel.DependentProduct object at 0x11cd6c8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_max_nat:(nat->(nat->nat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cd9e0>, <kernel.DependentProduct object at 0x11cd200>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Int__Oint
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_min_int:(int->(int->int))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cd3b0>, <kernel.DependentProduct object at 0x11cd998>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ord_min_nat:(nat->(nat->nat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cd878>, <kernel.DependentProduct object at 0x11cdb00>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cd3b0>, <kernel.DependentProduct object at 0x11cd9e0>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring order_5726023648592871131at_nat:((nat->nat)->Prop)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cdb00>, <kernel.DependentProduct object at 0x11cdb48>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Real__Oreal_001t__Real__Oreal
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring order_7092887310737990675l_real:((real->real)->Prop)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cd6c8>, <kernel.DependentProduct object at 0x11cdbd8>) of role type named sy_c_Orderings_Oordering__top_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring ordering_top_nat:((nat->(nat->Prop))->((nat->(nat->Prop))->(nat->Prop)))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cdb48>, <kernel.Constant object at 0x11cdbd8>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring top_top_set_int:set_int
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cd200>, <kernel.Constant object at 0x11cdbd8>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring top_top_set_list_nat:set_list_nat
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cd3b0>, <kernel.Constant object at 0x11cdbd8>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring top_top_set_nat:set_nat
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cd200>, <kernel.Constant object at 0x11cdc68>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring top_to4669805908274784177at_nat:set_Pr1261947904930325089at_nat
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cdbd8>, <kernel.Constant object at 0x11cdc20>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Ounit_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring top_to1996260823553986621t_unit:set_Product_unit
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cdcf8>, <kernel.Constant object at 0x11cdc20>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring top_top_set_real:set_real
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cdd88>, <kernel.Constant object at 0x11cdc20>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring top_top_set_char:set_char
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cdcf8>, <kernel.DependentProduct object at 0x11cdd88>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cdc20>, <kernel.DependentProduct object at 0x11cdcf8>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Onatural
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring power_7079662738309270450atural:(code_natural->(nat->code_natural))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cddd0>, <kernel.DependentProduct object at 0x11cdd88>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring power_power_complex:(complex->(nat->complex))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cdcf8>, <kernel.DependentProduct object at 0x11cdf80>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring power_power_int:(int->(nat->int))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cdd88>, <kernel.DependentProduct object at 0x11cdfc8>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring power_power_nat:(nat->(nat->nat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cdf80>, <kernel.DependentProduct object at 0x11cde60>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring power_power_rat:(rat->(nat->rat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cdcf8>, <kernel.DependentProduct object at 0x11d01b8>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring power_power_real:(real->(nat->real))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cdf80>, <kernel.DependentProduct object at 0x11d0200>) of role type named sy_c_Product__Type_OPair_001_Eo_001_Eo
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring product_Pair_o_o:(Prop->(Prop->product_prod_o_o))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cde60>, <kernel.DependentProduct object at 0x11d0170>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Int__Oint
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring product_Pair_o_int:(Prop->(int->product_prod_o_int))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11cdf80>, <kernel.DependentProduct object at 0x11d0170>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring product_Pair_o_nat:(Prop->(nat->product_prod_o_nat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0098>, <kernel.DependentProduct object at 0x11d0200>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc2982872950893828659T_VEBT:(Prop->(vEBT_VEBT->produc2504756804600209347T_VEBT))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0248>, <kernel.DependentProduct object at 0x11d0368>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0050>, <kernel.DependentProduct object at 0x11d0098>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0248>, <kernel.DependentProduct object at 0x11d0050>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Onatural_001t__Code____Numeral__Onatural
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc3574140220909816553atural:(code_natural->(code_natural->produc7822875418678951345atural))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0098>, <kernel.DependentProduct object at 0x11d03f8>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Onatural_001t__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc6639722614265839536atural:(code_natural->(produc7822875418678951345atural->produc5835291356934675326atural))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0518>, <kernel.DependentProduct object at 0x11d0050>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0248>, <kernel.DependentProduct object at 0x11d0098>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d05a8>, <kernel.DependentProduct object at 0x11d0518>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Num__Onum
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring product_Pair_nat_num:(nat->(num->product_prod_nat_num))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0320>, <kernel.DependentProduct object at 0x11d0248>) of role type named sy_c_Product__Type_OPair_001t__Num__Onum_001t__Num__Onum
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring product_Pair_num_num:(num->(num->product_prod_num_num))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d05a8>, <kernel.DependentProduct object at 0x11d0320>) 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
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc6161850002892822231at_nat:(product_prod_nat_nat->(product_prod_nat_nat->produc859450856879609959at_nat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0248>, <kernel.DependentProduct object at 0x11d0758>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0320>, <kernel.DependentProduct object at 0x11d0248>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Extended____Nat__Oenat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc581526299967858633d_enat:(vEBT_VEBT->(extended_enat->produc7272778201969148633d_enat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0758>, <kernel.DependentProduct object at 0x11d0320>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc736041933913180425BT_int:(vEBT_VEBT->(int->produc4894624898956917775BT_int))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0248>, <kernel.DependentProduct object at 0x11d0758>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0320>, <kernel.DependentProduct object at 0x11d0248>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0758>, <kernel.DependentProduct object at 0x11d0a70>) of role type named sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc457027306803732586at_nat:(set_nat->((nat->set_nat)->set_Pr1261947904930325089at_nat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0248>, <kernel.DependentProduct object at 0x11d0878>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0a70>, <kernel.DependentProduct object at 0x11d07a0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0878>, <kernel.DependentProduct object at 0x11d0b00>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d07a0>, <kernel.DependentProduct object at 0x11d0908>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc7336495610019696514er_num:((code_integer->(code_integer->num))->(produc8923325533196201883nteger->num))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0b00>, <kernel.DependentProduct object at 0x11d0ab8>) 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
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0908>, <kernel.DependentProduct object at 0x11d0a28>) 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
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0ab8>, <kernel.DependentProduct object at 0x11d0b48>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0a28>, <kernel.DependentProduct object at 0x11d0e60>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc8211389475949308722nt_int:((int->(int->int))->(product_prod_int_int->int))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0b48>, <kernel.DependentProduct object at 0x11d0e18>) 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
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x11d0e60>, <kernel.DependentProduct object at 0x11d0fc8>) 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
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring produc8739625826339149834_nat_o:((nat->(nat->(product_prod_nat_nat->Prop)))->(product_prod_nat_nat->(product_prod_nat_nat->Prop)))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d0e18>, <kernel.DependentProduct object at 0x11d0ef0>) 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
% 0.60/0.86 Using role type
% 0.60/0.86 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)))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d0fc8>, <kernel.DependentProduct object at 0x11d2170>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d0ef0>, <kernel.DependentProduct object at 0x11d2128>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__List__Olist_It__Nat__Onat_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring produc2761476792215241774st_nat:((nat->(nat->list_nat))->(product_prod_nat_nat->list_nat))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d0ef0>, <kernel.DependentProduct object at 0x11d2170>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring produc6842872674320459806at_nat:((nat->(nat->nat))->(product_prod_nat_nat->nat))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d0d40>, <kernel.DependentProduct object at 0x11d2200>) 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
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d21b8>, <kernel.DependentProduct object at 0x11d2098>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Option__Ooption_It__Num__Onum_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring produc478579273971653890on_num:((nat->(num->option_num))->(product_prod_nat_num->option_num))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d23b0>, <kernel.DependentProduct object at 0x11d2368>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring produc8508995932063986495nteger:(produc8923325533196201883nteger->code_integer)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d0d40>, <kernel.DependentProduct object at 0x11d2440>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d2368>, <kernel.DependentProduct object at 0x11d2488>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d2098>, <kernel.DependentProduct object at 0x11d24d0>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring produc6174133586879617921nteger:(produc8923325533196201883nteger->code_integer)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d2440>, <kernel.DependentProduct object at 0x11d2560>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d2200>, <kernel.DependentProduct object at 0x11d25a8>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d2440>, <kernel.DependentProduct object at 0x11d24d0>) of role type named sy_c_Product__Type_Oscomp_001t__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J_001t__Code____Numeral__Onatural_001t__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J_001t__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring produc5538323210962509403atural:((produc7822875418678951345atural->produc5835291356934675326atural)->((code_natural->(produc7822875418678951345atural->produc5835291356934675326atural))->(produc7822875418678951345atural->produc5835291356934675326atural)))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d25a8>, <kernel.DependentProduct object at 0x11d2638>) of role type named sy_c_Quotient_OQuotient3_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring quotie8700032322157300518t_real:(((nat->rat)->((nat->rat)->Prop))->(((nat->rat)->real)->((real->(nat->rat))->Prop)))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d24d0>, <kernel.DependentProduct object at 0x11d2830>) of role type named sy_c_Quotient_OQuotient3_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring quotie6776551016481293500at_int:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((product_prod_nat_nat->int)->((int->product_prod_nat_nat)->Prop)))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d2560>, <kernel.DependentProduct object at 0x11d2638>) of role type named sy_c_Random_Oinc__shift
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring inc_shift:(code_natural->(code_natural->code_natural))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d24d0>, <kernel.DependentProduct object at 0x11d25f0>) of role type named sy_c_Random_Oiterate_001t__Code____Numeral__Onatural_001t__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring iterat8892046348760725948atural:(code_natural->((code_natural->(produc7822875418678951345atural->produc5835291356934675326atural))->(code_natural->(produc7822875418678951345atural->produc5835291356934675326atural))))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d2758>, <kernel.DependentProduct object at 0x11d2638>) of role type named sy_c_Random_Olog
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring log:(code_natural->(code_natural->code_natural))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d25a8>, <kernel.DependentProduct object at 0x11d2638>) of role type named sy_c_Random_Olog__rel
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring log_rel:(produc7822875418678951345atural->(produc7822875418678951345atural->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d2560>, <kernel.DependentProduct object at 0x11d2758>) of role type named sy_c_Random_Ominus__shift
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring minus_shift:(code_natural->(code_natural->(code_natural->code_natural)))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d2998>, <kernel.DependentProduct object at 0x11d25a8>) of role type named sy_c_Random_Onext
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring next:(produc7822875418678951345atural->produc5835291356934675326atural)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d2878>, <kernel.DependentProduct object at 0x11d27a0>) of role type named sy_c_Random_Orange
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring range:(code_natural->(produc7822875418678951345atural->produc5835291356934675326atural))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d29e0>, <kernel.DependentProduct object at 0x11d2950>) of role type named sy_c_Rat_OAbs__Rat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring abs_Rat:(product_prod_int_int->rat)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d2908>, <kernel.DependentProduct object at 0x11d2878>) of role type named sy_c_Rat_OFract
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring fract:(int->(int->rat))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d2560>, <kernel.DependentProduct object at 0x11d2a70>) of role type named sy_c_Rat_OFrct
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring frct:(product_prod_int_int->rat)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d27a0>, <kernel.DependentProduct object at 0x11d2638>) of role type named sy_c_Rat_ORep__Rat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring rep_Rat:(rat->product_prod_int_int)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x11d2560>, <kernel.Constant object at 0x11d2878>) of role type named sy_c_Rat_Ofield__char__0__class_ORats_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring field_5140801741446780682s_real:set_real
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2638>, <kernel.DependentProduct object at 0x11d2b90>) of role type named sy_c_Rat_Ofield__char__0__class_Oof__rat_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring field_7254667332652039916t_real:(rat->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2a70>, <kernel.DependentProduct object at 0x11d2c20>) of role type named sy_c_Rat_Onormalize
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2908>, <kernel.DependentProduct object at 0x11d2c68>) of role type named sy_c_Rat_Oof__int
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring of_int:(int->rat)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2b48>, <kernel.DependentProduct object at 0x11d2a70>) of role type named sy_c_Rat_Opcr__rat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring pcr_rat:(product_prod_int_int->(rat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2878>, <kernel.DependentProduct object at 0x11d2cf8>) of role type named sy_c_Rat_Opositive
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring positive:(rat->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2908>, <kernel.DependentProduct object at 0x11d2d40>) of role type named sy_c_Rat_Oquotient__of
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring quotient_of:(rat->product_prod_int_int)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2c68>, <kernel.DependentProduct object at 0x11d2878>) of role type named sy_c_Rat_Oratrel
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring ratrel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2cb0>, <kernel.DependentProduct object at 0x11d2d88>) of role type named sy_c_Real_ORatreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring ratreal:(rat->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2cf8>, <kernel.DependentProduct object at 0x11d2c68>) of role type named sy_c_Real_OReal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring real2:((nat->rat)->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2dd0>, <kernel.DependentProduct object at 0x11d2b48>) of role type named sy_c_Real_Ocauchy
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring cauchy:((nat->rat)->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2878>, <kernel.DependentProduct object at 0x11d2e18>) of role type named sy_c_Real_Ocr__real
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring cr_real:((nat->rat)->(real->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2b48>, <kernel.DependentProduct object at 0x11d2e60>) of role type named sy_c_Real_Opcr__real
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring pcr_real:((nat->rat)->(real->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2e18>, <kernel.DependentProduct object at 0x11d2f38>) of role type named sy_c_Real_Opositive
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring positive2:(real->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2878>, <kernel.DependentProduct object at 0x11d2cf8>) of role type named sy_c_Real_Orealrel
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring realrel:((nat->rat)->((nat->rat)->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2b48>, <kernel.DependentProduct object at 0x11d2e18>) of role type named sy_c_Real_Orep__real
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring rep_real:(real->(nat->rat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2c68>, <kernel.DependentProduct object at 0x11d2e60>) of role type named sy_c_Real_Ovanishes
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vanishes:((nat->rat)->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2b48>, <kernel.Constant object at 0x11d2cf8>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring real_V2521375963428798218omplex:set_complex
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2e60>, <kernel.DependentProduct object at 0x11d2e18>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring real_V3694042436643373181omplex:(complex->(complex->real))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2e60>, <kernel.DependentProduct object at 0x11d50e0>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring real_V975177566351809787t_real:(real->(real->real))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2e60>, <kernel.DependentProduct object at 0x11d5098>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2b48>, <kernel.DependentProduct object at 0x11d52d8>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring real_V7735802525324610683m_real:(real->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d50e0>, <kernel.DependentProduct object at 0x11d5368>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d51b8>, <kernel.DependentProduct object at 0x11d53f8>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring real_V1803761363581548252l_real:(real->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d2f80>, <kernel.DependentProduct object at 0x11d5488>) of role type named sy_c_Relation_OField_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring field_nat:(set_Pr1261947904930325089at_nat->set_nat)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d52d8>, <kernel.Constant object at 0x11d53f8>) of role type named sy_c_Relation_OId_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring id_nat2:set_Pr1261947904930325089at_nat
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d5098>, <kernel.DependentProduct object at 0x11d52d8>) of role type named sy_c_Relation_Otransp_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring transp_nat_rat:(((nat->rat)->((nat->rat)->Prop))->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d5488>, <kernel.DependentProduct object at 0x11d5098>) of role type named sy_c_Rings_Oalgebraic__semidom__class_Ocoprime_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring algebr932160517623751201me_int:(int->(int->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d52d8>, <kernel.DependentProduct object at 0x11d5488>) of role type named sy_c_Rings_Oalgebraic__semidom__class_Ocoprime_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring algebr934650988132801477me_nat:(nat->(nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d5098>, <kernel.DependentProduct object at 0x11d52d8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d5488>, <kernel.DependentProduct object at 0x11d5098>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Onatural
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring divide5121882707175180666atural:(code_natural->(code_natural->code_natural))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d52d8>, <kernel.DependentProduct object at 0x11d5488>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d5680>, <kernel.DependentProduct object at 0x11d5098>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring divide_divide_int:(int->(int->int))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d53b0>, <kernel.DependentProduct object at 0x11d52d8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d5878>, <kernel.DependentProduct object at 0x11d5680>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d5710>, <kernel.DependentProduct object at 0x11d53b0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring divide_divide_real:(real->(real->real))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d57a0>, <kernel.DependentProduct object at 0x11d5878>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d5830>, <kernel.DependentProduct object at 0x11d5710>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Onatural
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring dvd_dvd_Code_natural:(code_natural->(code_natural->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d52d8>, <kernel.DependentProduct object at 0x11d57a0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d5680>, <kernel.DependentProduct object at 0x11d5830>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d53b0>, <kernel.DependentProduct object at 0x11d52d8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d5878>, <kernel.DependentProduct object at 0x11d5680>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d5710>, <kernel.DependentProduct object at 0x11d53b0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d5878>, <kernel.DependentProduct object at 0x11d5710>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d53b0>, <kernel.DependentProduct object at 0x11d5878>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Onatural
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring modulo8411746178871703098atural:(code_natural->(code_natural->code_natural))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d57a0>, <kernel.DependentProduct object at 0x11d5710>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring modulo_modulo_int:(int->(int->int))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d5488>, <kernel.DependentProduct object at 0x11d53b0>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d57a0>, <kernel.DependentProduct object at 0x11d5830>) of role type named sy_c_Rings_Ounit__factor__class_Ounit__factor_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring unit_f2748546683901255202or_nat:(nat->nat)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d53b0>, <kernel.DependentProduct object at 0x11d5bd8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d5830>, <kernel.DependentProduct object at 0x11d5dd0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Onatural
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring zero_n8403883297036319079atural:(Prop->code_natural)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d5bd8>, <kernel.DependentProduct object at 0x11d5e60>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d5dd0>, <kernel.DependentProduct object at 0x11d5ef0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x11d5e60>, <kernel.DependentProduct object at 0x11d5f80>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d5ef0>, <kernel.DependentProduct object at 0x11d7050>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d5f80>, <kernel.DependentProduct object at 0x11d70e0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d5ef0>, <kernel.DependentProduct object at 0x11d7170>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring suminf_complex:((nat->complex)->complex)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d5e60>, <kernel.DependentProduct object at 0x11d7098>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring suminf_int:((nat->int)->int)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d5f80>, <kernel.DependentProduct object at 0x11d70e0>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring suminf_nat:((nat->nat)->nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d5dd0>, <kernel.DependentProduct object at 0x11d7200>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring suminf_real:((nat->real)->real)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d5dd0>, <kernel.DependentProduct object at 0x11d70e0>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring summable_complex:((nat->complex)->Prop)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7248>, <kernel.DependentProduct object at 0x11d7098>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring summable_int:((nat->int)->Prop)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7050>, <kernel.DependentProduct object at 0x11d7290>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring summable_nat:((nat->nat)->Prop)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d72d8>, <kernel.DependentProduct object at 0x11d7170>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring summable_real:((nat->real)->Prop)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7320>, <kernel.DependentProduct object at 0x11d7368>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7128>, <kernel.DependentProduct object at 0x11d73f8>) of role type named sy_c_Series_Osums_001t__Int__Oint
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring sums_int:((nat->int)->(int->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7170>, <kernel.DependentProduct object at 0x11d7290>) of role type named sy_c_Series_Osums_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring sums_nat:((nat->nat)->(nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d73b0>, <kernel.DependentProduct object at 0x11d7488>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring sums_real:((nat->real)->(real->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7290>, <kernel.DependentProduct object at 0x11d7560>) of role type named sy_c_Set_OCollect_001t__Code____Numeral__Ointeger
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collect_Code_integer:((code_integer->Prop)->set_Code_integer)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7488>, <kernel.DependentProduct object at 0x11d7128>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d73f8>, <kernel.DependentProduct object at 0x11d75f0>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collect_int:((int->Prop)->set_int)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d72d8>, <kernel.DependentProduct object at 0x11d7488>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7320>, <kernel.DependentProduct object at 0x11d7680>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7128>, <kernel.DependentProduct object at 0x11d7488>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7320>, <kernel.DependentProduct object at 0x11d7128>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collec3392354462482085612at_nat:((product_prod_nat_nat->Prop)->set_Pr1261947904930325089at_nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d75f0>, <kernel.DependentProduct object at 0x11d77e8>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collect_real:((real->Prop)->set_real)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7680>, <kernel.DependentProduct object at 0x11d7320>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring collect_set_nat:((set_nat->Prop)->set_set_nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7170>, <kernel.DependentProduct object at 0x11d7878>) of role type named sy_c_Set_OPow_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring pow_nat:(set_nat->set_set_nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7758>, <kernel.DependentProduct object at 0x11d7878>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7128>, <kernel.DependentProduct object at 0x11d77a0>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring image_int_nat:((int->nat)->(set_int->set_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7320>, <kernel.DependentProduct object at 0x11d7680>) of role type named sy_c_Set_Oimage_001t__List__Olist_It__Nat__Onat_J_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring image_list_nat_nat:((list_nat->nat)->(set_list_nat->set_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7758>, <kernel.DependentProduct object at 0x11d78c0>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Int__Oint
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring image_nat_int:((nat->int)->(set_nat->set_int))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7128>, <kernel.DependentProduct object at 0x11d75a8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__List__Olist_It__Nat__Onat_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring image_nat_list_nat:((nat->list_nat)->(set_nat->set_list_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7320>, <kernel.DependentProduct object at 0x11d7170>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7128>, <kernel.DependentProduct object at 0x11d7758>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring image_5846123807819985514at_nat:((nat->product_prod_nat_nat)->(set_nat->set_Pr1261947904930325089at_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d78c0>, <kernel.DependentProduct object at 0x11d77a0>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring image_nat_set_nat:((nat->set_nat)->(set_nat->set_set_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d7170>, <kernel.DependentProduct object at 0x11d7878>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x11d78c0>, <kernel.DependentProduct object at 0x11d7320>) of role type named sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring image_2486076414777270412at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->set_nat))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11d7128>, <kernel.DependentProduct object at 0x11d7b00>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11d7878>, <kernel.DependentProduct object at 0x11d7b90>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11d78c0>, <kernel.DependentProduct object at 0x11d7128>) of role type named sy_c_Set_Oinsert_001t__Complex__Ocomplex
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring insert_complex:(complex->(set_complex->set_complex))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11d77e8>, <kernel.DependentProduct object at 0x11d78c0>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring insert_int:(int->(set_int->set_int))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11d7bd8>, <kernel.DependentProduct object at 0x11d7128>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11d7878>, <kernel.DependentProduct object at 0x11d78c0>) of role type named sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring insert8211810215607154385at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11d77a0>, <kernel.DependentProduct object at 0x11d7878>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring insert_real:(real->(set_real->set_real))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11d7e18>, <kernel.DependentProduct object at 0x11d7bd8>) of role type named sy_c_Set_Oinsert_001t__Set__Oset_It__Nat__Onat_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring insert_set_nat:(set_nat->(set_set_nat->set_set_nat))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11d7ea8>, <kernel.DependentProduct object at 0x11d78c0>) of role type named sy_c_Set_Oinsert_001t__VEBT____Definitions__OVEBT
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring insert_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11d7e60>, <kernel.DependentProduct object at 0x11d77a0>) of role type named sy_c_Set_Ovimage_001t__Nat__Onat_001t__Nat__Onat
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring vimage_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11d7ea8>, <kernel.DependentProduct object at 0x11d7dd0>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Complex__Ocomplex
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_fo1517530859248394432omplex:((nat->(complex->complex))->(nat->(nat->(complex->complex))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11d77a0>, <kernel.DependentProduct object at 0x11d7e18>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Int__Oint
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_fo2581907887559384638at_int:((nat->(int->int))->(nat->(nat->(int->int))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11d7dd0>, <kernel.DependentProduct object at 0x11d7e60>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11d7e18>, <kernel.DependentProduct object at 0x11da170>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Rat__Orat
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_fo1949268297981939178at_rat:((nat->(rat->rat))->(nat->(nat->(rat->rat))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11d7e60>, <kernel.DependentProduct object at 0x11da0e0>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Real__Oreal
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_fo3111899725591712190t_real:((nat->(real->real))->(nat->(nat->(real->real))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11d7e60>, <kernel.DependentProduct object at 0x11da200>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11d7dd0>, <kernel.DependentProduct object at 0x11da170>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da200>, <kernel.DependentProduct object at 0x11da2d8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da0e0>, <kernel.DependentProduct object at 0x11da368>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da050>, <kernel.DependentProduct object at 0x11da3f8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da098>, <kernel.DependentProduct object at 0x11da050>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Nat__Onat_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_or4548717258645045905et_nat:(set_nat->(set_nat->set_set_nat))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da3f8>, <kernel.DependentProduct object at 0x11da098>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da050>, <kernel.DependentProduct object at 0x11da3f8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da0e0>, <kernel.DependentProduct object at 0x11da200>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da560>, <kernel.DependentProduct object at 0x11da6c8>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Real__Oreal
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_ord_atLeast_real:(real->set_real)
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da5f0>, <kernel.DependentProduct object at 0x11da710>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da560>, <kernel.DependentProduct object at 0x11da5f0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da710>, <kernel.DependentProduct object at 0x11da560>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da5f0>, <kernel.DependentProduct object at 0x11da710>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da560>, <kernel.DependentProduct object at 0x11da5f0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da710>, <kernel.DependentProduct object at 0x11da560>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da5f0>, <kernel.DependentProduct object at 0x11da3f8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da560>, <kernel.DependentProduct object at 0x11daab8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da758>, <kernel.DependentProduct object at 0x11dab48>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da560>, <kernel.DependentProduct object at 0x11dab90>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da9e0>, <kernel.DependentProduct object at 0x11dacb0>) of role type named sy_c_String_OCode_Oabort_001t__Real__Oreal
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring abort_real:(literal->((product_unit->real)->real))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11dab48>, <kernel.DependentProduct object at 0x11dac68>) of role type named sy_c_String_OLiteral
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring literal2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(literal->literal))))))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11dac20>, <kernel.DependentProduct object at 0x11dadd0>) of role type named sy_c_String_Ochar_OChar
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring char2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->char))))))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da320>, <kernel.DependentProduct object at 0x11dae60>) of role type named sy_c_String_Ochar_Osize__char
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring size_char:(char->nat)
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11dab48>, <kernel.DependentProduct object at 0x11dac20>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11da320>, <kernel.DependentProduct object at 0x11dae18>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11dac20>, <kernel.DependentProduct object at 0x11daef0>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11dae18>, <kernel.DependentProduct object at 0x11daf80>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Real__Oreal_001t__Real__Oreal
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring topolo5044208981011980120l_real:(set_real->((real->real)->Prop))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11daef0>, <kernel.DependentProduct object at 0x11dac20>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11daf80>, <kernel.DependentProduct object at 0x11daef0>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11dac20>, <kernel.DependentProduct object at 0x11de050>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oconvergent_001t__Real__Oreal
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring topolo7531315842566124627t_real:((nat->real)->Prop)
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x11daef0>, <kernel.DependentProduct object at 0x11de170>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.70/0.89 Using role type
% 0.73/0.90 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11daef0>, <kernel.DependentProduct object at 0x11de170>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Complex__Ocomplex
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring topolo6517432010174082258omplex:((nat->complex)->Prop)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11daea8>, <kernel.DependentProduct object at 0x11de170>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11daef0>, <kernel.DependentProduct object at 0x11de320>) of role type named sy_c_Transcendental_Oarccos
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring arccos:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11dacf8>, <kernel.DependentProduct object at 0x11de368>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring arcosh_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11dacf8>, <kernel.DependentProduct object at 0x11de3b0>) of role type named sy_c_Transcendental_Oarcsin
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring arcsin:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de050>, <kernel.DependentProduct object at 0x11de3f8>) of role type named sy_c_Transcendental_Oarctan
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring arctan:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de320>, <kernel.DependentProduct object at 0x11de440>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring arsinh_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de368>, <kernel.DependentProduct object at 0x11de488>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring artanh_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de3b0>, <kernel.DependentProduct object at 0x11de4d0>) of role type named sy_c_Transcendental_Ocos_001t__Complex__Ocomplex
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring cos_complex:(complex->complex)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de3f8>, <kernel.DependentProduct object at 0x11de518>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring cos_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de2d8>, <kernel.DependentProduct object at 0x11de5a8>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring cos_coeff:(nat->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de4d0>, <kernel.DependentProduct object at 0x11de3f8>) of role type named sy_c_Transcendental_Ocosh_001t__Complex__Ocomplex
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring cosh_complex:(complex->complex)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de5a8>, <kernel.DependentProduct object at 0x11de5f0>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring cosh_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de320>, <kernel.DependentProduct object at 0x11de638>) of role type named sy_c_Transcendental_Ocot_001t__Complex__Ocomplex
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring cot_complex:(complex->complex)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de2d8>, <kernel.DependentProduct object at 0x11de680>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring cot_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de3f8>, <kernel.DependentProduct object at 0x11de5f0>) of role type named sy_c_Transcendental_Odiffs_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring diffs_real:((nat->real)->(nat->real))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de320>, <kernel.DependentProduct object at 0x11de710>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring exp_complex:(complex->complex)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de638>, <kernel.DependentProduct object at 0x11de4d0>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring exp_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de6c8>, <kernel.DependentProduct object at 0x11de7a0>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring ln_ln_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de5f0>, <kernel.DependentProduct object at 0x11de638>) of role type named sy_c_Transcendental_Olog
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring log2:(real->(real->real))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de7e8>, <kernel.Constant object at 0x11de638>) of role type named sy_c_Transcendental_Opi
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring pi:real
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de7a0>, <kernel.DependentProduct object at 0x11de5f0>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring powr_real:(real->(real->real))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de440>, <kernel.DependentProduct object at 0x11de7a0>) of role type named sy_c_Transcendental_Opowr__real
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring powr_real2:(real->(real->real))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de4d0>, <kernel.DependentProduct object at 0x11de998>) of role type named sy_c_Transcendental_Osin_001t__Complex__Ocomplex
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring sin_complex:(complex->complex)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de7a0>, <kernel.DependentProduct object at 0x11de950>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring sin_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de710>, <kernel.DependentProduct object at 0x11de9e0>) of role type named sy_c_Transcendental_Osin__coeff
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring sin_coeff:(nat->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de998>, <kernel.DependentProduct object at 0x11de7a0>) of role type named sy_c_Transcendental_Osinh_001t__Complex__Ocomplex
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring sinh_complex:(complex->complex)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de9e0>, <kernel.DependentProduct object at 0x11dea28>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring sinh_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de7e8>, <kernel.DependentProduct object at 0x11dea70>) of role type named sy_c_Transcendental_Otan_001t__Complex__Ocomplex
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring tan_complex:(complex->complex)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de710>, <kernel.DependentProduct object at 0x11deab8>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring tan_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de7a0>, <kernel.DependentProduct object at 0x11deb00>) of role type named sy_c_Transcendental_Otanh_001t__Complex__Ocomplex
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring tanh_complex:(complex->complex)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11dea28>, <kernel.DependentProduct object at 0x11deb48>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring tanh_real:(real->real)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de7a0>, <kernel.DependentProduct object at 0x11dea28>) of role type named sy_c_Transitive__Closure_Otrancl_001t__Nat__Onat
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring transi6264000038957366511cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de878>, <kernel.DependentProduct object at 0x11dec20>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11deb00>, <kernel.DependentProduct object at 0x11dea28>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11decf8>, <kernel.DependentProduct object at 0x11de7a0>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11de878>, <kernel.DependentProduct object at 0x11decf8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11ded88>, <kernel.DependentProduct object at 0x11de7a0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oelim__dead
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_VEBT_elim_dead:(vEBT_VEBT->(extended_enat->vEBT_VEBT))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11ded40>, <kernel.DependentProduct object at 0x11de7a0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oelim__dead__rel
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_V312737461966249ad_rel:(produc7272778201969148633d_enat->(produc7272778201969148633d_enat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11dee18>, <kernel.DependentProduct object at 0x11ded88>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11ded40>, <kernel.DependentProduct object at 0x11dee18>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11dec20>, <kernel.DependentProduct object at 0x11ded88>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11def38>, <kernel.DependentProduct object at 0x11ded40>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11dec20>, <kernel.DependentProduct object at 0x11dee18>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11ded40>, <kernel.DependentProduct object at 0x11dec20>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11dee18>, <kernel.DependentProduct object at 0x11e1098>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11ded40>, <kernel.DependentProduct object at 0x11e1050>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11dec20>, <kernel.DependentProduct object at 0x11dc050>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11ded88>, <kernel.DependentProduct object at 0x11dc128>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11ded40>, <kernel.DependentProduct object at 0x11dc248>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11dee18>, <kernel.DependentProduct object at 0x11dc200>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11dc1b8>, <kernel.DependentProduct object at 0x11dc098>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11dc290>, <kernel.DependentProduct object at 0x11dc248>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x11dc3b0>, <kernel.DependentProduct object at 0x11dc170>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc290>, <kernel.DependentProduct object at 0x11dc3b0>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull__rel
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_V6963167321098673237ll_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc3f8>, <kernel.DependentProduct object at 0x11dc320>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc128>, <kernel.DependentProduct object at 0x11dc3f8>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc170>, <kernel.DependentProduct object at 0x11dc128>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc3b0>, <kernel.DependentProduct object at 0x11dc488>) of role type named sy_c_Wellfounded_Oaccp_001t__List__Olist_It__Nat__Onat_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring accp_list_nat:((list_nat->(list_nat->Prop))->(list_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc128>, <kernel.DependentProduct object at 0x11dc518>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc3b0>, <kernel.DependentProduct object at 0x11dc488>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring accp_P8126237942716283194atural:((produc7822875418678951345atural->(produc7822875418678951345atural->Prop))->(produc7822875418678951345atural->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc518>, <kernel.DependentProduct object at 0x11dc128>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc488>, <kernel.DependentProduct object at 0x11dc680>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc128>, <kernel.DependentProduct object at 0x11dc710>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring accp_P3113834385874906142um_num:((product_prod_num_num->(product_prod_num_num->Prop))->(product_prod_num_num->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc680>, <kernel.DependentProduct object at 0x11dc3b0>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Extended____Nat__Oenat_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring accp_P6183159247885693666d_enat:((produc7272778201969148633d_enat->(produc7272778201969148633d_enat->Prop))->(produc7272778201969148633d_enat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc710>, <kernel.DependentProduct object at 0x11dc488>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc878>, <kernel.DependentProduct object at 0x11dc680>) of role type named sy_c_Wellfounded_Oaccp_001t__VEBT____Definitions__OVEBT
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring accp_VEBT_VEBT:((vEBT_VEBT->(vEBT_VEBT->Prop))->(vEBT_VEBT->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc248>, <kernel.Constant object at 0x11dc3b0>) of role type named sy_c_Wellfounded_Oless__than
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring less_than:set_Pr1261947904930325089at_nat
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc950>, <kernel.Constant object at 0x11dc3b0>) of role type named sy_c_Wellfounded_Opred__nat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring pred_nat:set_Pr1261947904930325089at_nat
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc908>, <kernel.DependentProduct object at 0x11dc9e0>) of role type named sy_c_Wellfounded_Owf_001t__Int__Oint
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring wf_int:(set_Pr958786334691620121nt_int->Prop)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc680>, <kernel.DependentProduct object at 0x11dca28>) of role type named sy_c_Wellfounded_Owf_001t__Nat__Onat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring wf_nat:(set_Pr1261947904930325089at_nat->Prop)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc488>, <kernel.DependentProduct object at 0x11dcb00>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring fChoice_real:((real->Prop)->real)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc998>, <kernel.DependentProduct object at 0x11dc488>) of role type named sy_c_member_001_Eo
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member_o:(Prop->(set_o->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc9e0>, <kernel.DependentProduct object at 0x11dca28>) of role type named sy_c_member_001t__Code____Numeral__Ointeger
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member_Code_integer:(code_integer->(set_Code_integer->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc950>, <kernel.DependentProduct object at 0x11dc9e0>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member_complex:(complex->(set_complex->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dcb90>, <kernel.DependentProduct object at 0x11dc998>) of role type named sy_c_member_001t__Int__Oint
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member_int:(int->(set_int->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc908>, <kernel.DependentProduct object at 0x11dca28>) of role type named sy_c_member_001t__List__Olist_It__Nat__Onat_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member_list_nat:(list_nat->(set_list_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc9e0>, <kernel.DependentProduct object at 0x11dcb90>) of role type named sy_c_member_001t__Nat__Onat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member_nat:(nat->(set_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc908>, <kernel.DependentProduct object at 0x11dc950>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member8440522571783428010at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dcb90>, <kernel.DependentProduct object at 0x11dca28>) 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
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member8206827879206165904at_nat:(produc859450856879609959at_nat->(set_Pr8693737435421807431at_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc9e0>, <kernel.DependentProduct object at 0x11dc950>) of role type named sy_c_member_001t__Rat__Orat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member_rat:(rat->(set_rat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc680>, <kernel.DependentProduct object at 0x11dc9e0>) of role type named sy_c_member_001t__Real__Oreal
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member_real:(real->(set_real->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dce18>, <kernel.DependentProduct object at 0x11dcb90>) of role type named sy_c_member_001t__Set__Oset_It__Nat__Onat_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member_set_nat:(set_nat->(set_set_nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dcb00>, <kernel.DependentProduct object at 0x11dc950>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x11dc9e0>, <kernel.Constant object at 0x11dc950>) of role type named sy_v_n
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring n:nat
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x11dcb90>, <kernel.Constant object at 0x11dc950>) of role type named sy_v_t
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring t:vEBT_VEBT
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x11dccf8>, <kernel.Constant object at 0x11dc950>) of role type named sy_v_x
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring x:nat
% 0.73/0.92 FOF formula (forall (T:vEBT_VEBT) (X:nat), ((vEBT_VEBT_minNull T)->(((vEBT_vebt_member T) X)->False))) of role axiom named fact_0_min__Null__member
% 0.73/0.92 A new axiom: (forall (T:vEBT_VEBT) (X:nat), ((vEBT_VEBT_minNull T)->(((vEBT_vebt_member T) X)->False)))
% 0.73/0.92 FOF formula (((eq (vEBT_VEBT->(nat->Prop))) vEBT_VEBT_valid) vEBT_invar_vebt) of role axiom named fact_1_valid__eq
% 0.73/0.92 A new axiom: (((eq (vEBT_VEBT->(nat->Prop))) vEBT_VEBT_valid) vEBT_invar_vebt)
% 0.73/0.92 FOF formula (forall (T:vEBT_VEBT) (D:nat), (((vEBT_invar_vebt T) D)->((vEBT_VEBT_valid T) D))) of role axiom named fact_2_valid__eq1
% 0.73/0.92 A new axiom: (forall (T:vEBT_VEBT) (D:nat), (((vEBT_invar_vebt T) D)->((vEBT_VEBT_valid T) D)))
% 0.73/0.92 FOF formula (forall (T:vEBT_VEBT) (D:nat), (((vEBT_VEBT_valid T) D)->((vEBT_invar_vebt T) D))) of role axiom named fact_3_valid__eq2
% 0.73/0.92 A new axiom: (forall (T:vEBT_VEBT) (D:nat), (((vEBT_VEBT_valid T) D)->((vEBT_invar_vebt T) D)))
% 0.73/0.92 FOF formula (forall (T:vEBT_VEBT) (N:nat) (X:nat), (((vEBT_invar_vebt T) N)->(((eq Prop) ((vEBT_V8194947554948674370ptions T) X)) ((vEBT_vebt_member T) X)))) of role axiom named fact_4_both__member__options__equiv__member
% 0.73/0.92 A new axiom: (forall (T:vEBT_VEBT) (N:nat) (X:nat), (((vEBT_invar_vebt T) N)->(((eq Prop) ((vEBT_V8194947554948674370ptions T) X)) ((vEBT_vebt_member T) X))))
% 0.73/0.92 FOF formula (forall (T:vEBT_VEBT) (N:nat) (X:nat), (((vEBT_invar_vebt T) N)->(((vEBT_V8194947554948674370ptions T) X)->((vEBT_vebt_member T) X)))) of role axiom named fact_5_valid__member__both__member__options
% 0.73/0.92 A new axiom: (forall (T:vEBT_VEBT) (N:nat) (X:nat), (((vEBT_invar_vebt T) N)->(((vEBT_V8194947554948674370ptions T) X)->((vEBT_vebt_member T) X))))
% 0.73/0.92 FOF formula (forall (T:vEBT_VEBT), (((vEBT_invar_vebt T) zero_zero_nat)->False)) of role axiom named fact_6_valid__0__not
% 0.73/0.92 A new axiom: (forall (T:vEBT_VEBT), (((vEBT_invar_vebt T) zero_zero_nat)->False))
% 0.73/0.92 FOF formula (forall (T:vEBT_VEBT), (((vEBT_invar_vebt T) zero_zero_nat)->False)) of role axiom named fact_7_valid__tree__deg__neq__0
% 0.73/0.92 A new axiom: (forall (T:vEBT_VEBT), (((vEBT_invar_vebt T) zero_zero_nat)->False))
% 0.73/0.92 FOF formula (forall (Info:option4927543243414619207at_nat) (Deg:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT) (N:nat), (((vEBT_invar_vebt ((((vEBT_Node Info) Deg) TreeList) Summary)) N)->(((eq nat) Deg) N))) of role axiom named fact_8_deg__deg__n
% 0.73/0.92 A new axiom: (forall (Info:option4927543243414619207at_nat) (Deg:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT) (N:nat), (((vEBT_invar_vebt ((((vEBT_Node Info) Deg) TreeList) Summary)) N)->(((eq nat) Deg) N)))
% 0.73/0.92 FOF formula (forall (Tree:vEBT_VEBT) (N:nat) (X:nat), (((vEBT_invar_vebt Tree) N)->(((vEBT_vebt_member Tree) X)->((or ((vEBT_V5719532721284313246member Tree) X)) ((vEBT_VEBT_membermima Tree) X))))) of role axiom named fact_9_member__valid__both__member__options
% 0.73/0.92 A new axiom: (forall (Tree:vEBT_VEBT) (N:nat) (X:nat), (((vEBT_invar_vebt Tree) N)->(((vEBT_vebt_member Tree) X)->((or ((vEBT_V5719532721284313246member Tree) X)) ((vEBT_VEBT_membermima Tree) X)))))
% 0.73/0.92 FOF formula (forall (T:vEBT_VEBT) (N:nat), (((vEBT_invar_vebt T) N)->((ord_less_nat zero_zero_nat) N))) of role axiom named fact_10_deg__not__0
% 0.73/0.92 A new axiom: (forall (T:vEBT_VEBT) (N:nat), (((vEBT_invar_vebt T) N)->((ord_less_nat zero_zero_nat) N)))
% 0.73/0.92 FOF formula (forall (A:Prop) (B:Prop), (((vEBT_invar_vebt ((vEBT_Leaf A) B)) zero_zero_nat)->False)) of role axiom named fact_11_Leaf__0__not
% 0.73/0.92 A new axiom: (forall (A:Prop) (B:Prop), (((vEBT_invar_vebt ((vEBT_Leaf A) B)) zero_zero_nat)->False))
% 0.73/0.92 FOF formula (forall (T:vEBT_VEBT), (((vEBT_VEBT_minNull T)->False)->((ex nat) (fun (X_1:nat)=> ((vEBT_V8194947554948674370ptions T) X_1))))) of role axiom named fact_12_not__min__Null__member
% 0.73/0.92 A new axiom: (forall (T:vEBT_VEBT), (((vEBT_VEBT_minNull T)->False)->((ex nat) (fun (X_1:nat)=> ((vEBT_V8194947554948674370ptions T) X_1)))))
% 0.76/0.93 FOF formula (((eq (vEBT_VEBT->(nat->Prop))) vEBT_V8194947554948674370ptions) (fun (T2:vEBT_VEBT) (X2:nat)=> ((or ((vEBT_V5719532721284313246member T2) X2)) ((vEBT_VEBT_membermima T2) X2)))) of role axiom named fact_13_both__member__options__def
% 0.76/0.93 A new axiom: (((eq (vEBT_VEBT->(nat->Prop))) vEBT_V8194947554948674370ptions) (fun (T2:vEBT_VEBT) (X2:nat)=> ((or ((vEBT_V5719532721284313246member T2) X2)) ((vEBT_VEBT_membermima T2) X2))))
% 0.76/0.93 FOF formula (forall (Uu:Prop), ((vEBT_VEBT_minNull ((vEBT_Leaf Uu) True))->False)) of role axiom named fact_14_VEBT__internal_OminNull_Osimps_I3_J
% 0.76/0.93 A new axiom: (forall (Uu:Prop), ((vEBT_VEBT_minNull ((vEBT_Leaf Uu) True))->False))
% 0.76/0.93 FOF formula (forall (Uv:Prop), ((vEBT_VEBT_minNull ((vEBT_Leaf True) Uv))->False)) of role axiom named fact_15_VEBT__internal_OminNull_Osimps_I2_J
% 0.76/0.93 A new axiom: (forall (Uv:Prop), ((vEBT_VEBT_minNull ((vEBT_Leaf True) Uv))->False))
% 0.76/0.93 FOF formula (vEBT_VEBT_minNull ((vEBT_Leaf False) False)) of role axiom named fact_16_VEBT__internal_OminNull_Osimps_I1_J
% 0.76/0.93 A new axiom: (vEBT_VEBT_minNull ((vEBT_Leaf False) False))
% 0.76/0.93 FOF formula (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->((vEBT_invar_vebt (vEBT_vebt_buildup N)) N))) of role axiom named fact_17_buildup__gives__valid
% 0.76/0.93 A new axiom: (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->((vEBT_invar_vebt (vEBT_vebt_buildup N)) N)))
% 0.76/0.93 FOF formula (forall (A:nat), (((eq Prop) (not (((eq nat) A) zero_zero_nat))) ((ord_less_nat zero_zero_nat) A))) of role axiom named fact_18_bot__nat__0_Onot__eq__extremum
% 0.76/0.93 A new axiom: (forall (A:nat), (((eq Prop) (not (((eq nat) A) zero_zero_nat))) ((ord_less_nat zero_zero_nat) A)))
% 0.76/0.93 FOF formula (forall (N:nat), (((eq Prop) (not (((eq nat) N) zero_zero_nat))) ((ord_less_nat zero_zero_nat) N))) of role axiom named fact_19_neq0__conv
% 0.76/0.93 A new axiom: (forall (N:nat), (((eq Prop) (not (((eq nat) N) zero_zero_nat))) ((ord_less_nat zero_zero_nat) N)))
% 0.76/0.93 FOF formula (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False)) of role axiom named fact_20_less__nat__zero__code
% 0.76/0.93 A new axiom: (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False))
% 0.76/0.93 FOF formula (forall (N:nat), (((eq Prop) (((ord_less_nat zero_zero_nat) N)->False)) (((eq nat) N) zero_zero_nat))) of role axiom named fact_21_not__gr__zero
% 0.76/0.93 A new axiom: (forall (N:nat), (((eq Prop) (((ord_less_nat zero_zero_nat) N)->False)) (((eq nat) N) zero_zero_nat)))
% 0.76/0.93 FOF formula (forall (N:nat) (X:nat), (((vEBT_V5719532721284313246member (vEBT_vebt_buildup N)) X)->False)) of role axiom named fact_22_buildup__nothing__in__leaf
% 0.76/0.93 A new axiom: (forall (N:nat) (X:nat), (((vEBT_V5719532721284313246member (vEBT_vebt_buildup N)) X)->False))
% 0.76/0.93 FOF formula (forall (Uu:option4927543243414619207at_nat) (Uv:list_VEBT_VEBT) (Uw:vEBT_VEBT) (Ux:nat), (((vEBT_V5719532721284313246member ((((vEBT_Node Uu) zero_zero_nat) Uv) Uw)) Ux)->False)) of role axiom named fact_23_VEBT__internal_Onaive__member_Osimps_I2_J
% 0.76/0.93 A new axiom: (forall (Uu:option4927543243414619207at_nat) (Uv:list_VEBT_VEBT) (Uw:vEBT_VEBT) (Ux:nat), (((vEBT_V5719532721284313246member ((((vEBT_Node Uu) zero_zero_nat) Uv) Uw)) Ux)->False))
% 0.76/0.93 FOF formula (forall (N:nat) (X:nat), (((vEBT_VEBT_membermima (vEBT_vebt_buildup N)) X)->False)) of role axiom named fact_24_buildup__nothing__in__min__max
% 0.76/0.93 A new axiom: (forall (N:nat) (X:nat), (((vEBT_VEBT_membermima (vEBT_vebt_buildup N)) X)->False))
% 0.76/0.93 FOF formula (forall (X21:Prop) (X22:Prop) (Y21:Prop) (Y22:Prop), (((eq Prop) (((eq vEBT_VEBT) ((vEBT_Leaf X21) X22)) ((vEBT_Leaf Y21) Y22))) ((and (((eq Prop) X21) Y21)) (((eq Prop) X22) Y22)))) of role axiom named fact_25_VEBT_Oinject_I2_J
% 0.76/0.93 A new axiom: (forall (X21:Prop) (X22:Prop) (Y21:Prop) (Y22:Prop), (((eq Prop) (((eq vEBT_VEBT) ((vEBT_Leaf X21) X22)) ((vEBT_Leaf Y21) Y22))) ((and (((eq Prop) X21) Y21)) (((eq Prop) X22) Y22))))
% 0.76/0.93 FOF formula (forall (X11:option4927543243414619207at_nat) (X12:nat) (X13:list_VEBT_VEBT) (X14:vEBT_VEBT) (Y11:option4927543243414619207at_nat) (Y12:nat) (Y13:list_VEBT_VEBT) (Y14:vEBT_VEBT), (((eq Prop) (((eq vEBT_VEBT) ((((vEBT_Node X11) X12) X13) X14)) ((((vEBT_Node Y11) Y12) Y13) Y14))) ((and ((and ((and (((eq option4927543243414619207at_nat) X11) Y11)) (((eq nat) X12) Y12))) (((eq list_VEBT_VEBT) X13) Y13))) (((eq vEBT_VEBT) X14) Y14)))) of role axiom named fact_26_VEBT_Oinject_I1_J
% 0.76/0.94 A new axiom: (forall (X11:option4927543243414619207at_nat) (X12:nat) (X13:list_VEBT_VEBT) (X14:vEBT_VEBT) (Y11:option4927543243414619207at_nat) (Y12:nat) (Y13:list_VEBT_VEBT) (Y14:vEBT_VEBT), (((eq Prop) (((eq vEBT_VEBT) ((((vEBT_Node X11) X12) X13) X14)) ((((vEBT_Node Y11) Y12) Y13) Y14))) ((and ((and ((and (((eq option4927543243414619207at_nat) X11) Y11)) (((eq nat) X12) Y12))) (((eq list_VEBT_VEBT) X13) Y13))) (((eq vEBT_VEBT) X14) Y14))))
% 0.76/0.94 FOF formula (forall (Uu:Prop) (Uv:Prop) (Uw:nat), (((vEBT_VEBT_membermima ((vEBT_Leaf Uu) Uv)) Uw)->False)) of role axiom named fact_27_VEBT__internal_Omembermima_Osimps_I1_J
% 0.76/0.94 A new axiom: (forall (Uu:Prop) (Uv:Prop) (Uw:nat), (((vEBT_VEBT_membermima ((vEBT_Leaf Uu) Uv)) Uw)->False))
% 0.76/0.94 FOF formula (((eq vEBT_VEBT) (vEBT_vebt_buildup zero_zero_nat)) ((vEBT_Leaf False) False)) of role axiom named fact_28_vebt__buildup_Osimps_I1_J
% 0.76/0.94 A new axiom: (((eq vEBT_VEBT) (vEBT_vebt_buildup zero_zero_nat)) ((vEBT_Leaf False) False))
% 0.76/0.94 FOF formula (forall (X:literal), (((eq Prop) (((eq literal) zero_zero_literal) X)) (((eq literal) X) zero_zero_literal))) of role axiom named fact_29_zero__reorient
% 0.76/0.94 A new axiom: (forall (X:literal), (((eq Prop) (((eq literal) zero_zero_literal) X)) (((eq literal) X) zero_zero_literal)))
% 0.76/0.94 FOF formula (forall (X:real), (((eq Prop) (((eq real) zero_zero_real) X)) (((eq real) X) zero_zero_real))) of role axiom named fact_30_zero__reorient
% 0.76/0.94 A new axiom: (forall (X:real), (((eq Prop) (((eq real) zero_zero_real) X)) (((eq real) X) zero_zero_real)))
% 0.76/0.94 FOF formula (forall (X:rat), (((eq Prop) (((eq rat) zero_zero_rat) X)) (((eq rat) X) zero_zero_rat))) of role axiom named fact_31_zero__reorient
% 0.76/0.94 A new axiom: (forall (X:rat), (((eq Prop) (((eq rat) zero_zero_rat) X)) (((eq rat) X) zero_zero_rat)))
% 0.76/0.94 FOF formula (forall (X:nat), (((eq Prop) (((eq nat) zero_zero_nat) X)) (((eq nat) X) zero_zero_nat))) of role axiom named fact_32_zero__reorient
% 0.76/0.94 A new axiom: (forall (X:nat), (((eq Prop) (((eq nat) zero_zero_nat) X)) (((eq nat) X) zero_zero_nat)))
% 0.76/0.94 FOF formula (forall (X:int), (((eq Prop) (((eq int) zero_zero_int) X)) (((eq int) X) zero_zero_int))) of role axiom named fact_33_zero__reorient
% 0.76/0.94 A new axiom: (forall (X:int), (((eq Prop) (((eq int) zero_zero_int) X)) (((eq int) X) zero_zero_int)))
% 0.76/0.94 FOF formula (forall (X:nat) (Y:nat), ((not (((eq nat) X) Y))->((((ord_less_nat X) Y)->False)->((ord_less_nat Y) X)))) of role axiom named fact_34_linorder__neqE__nat
% 0.76/0.94 A new axiom: (forall (X:nat) (Y:nat), ((not (((eq nat) X) Y))->((((ord_less_nat X) Y)->False)->((ord_less_nat Y) X))))
% 0.76/0.94 FOF formula (forall (P:(nat->Prop)) (N:nat), ((forall (N2:nat), (((P N2)->False)->((ex nat) (fun (M:nat)=> ((and ((ord_less_nat M) N2)) ((P M)->False))))))->(P N))) of role axiom named fact_35_infinite__descent
% 0.76/0.94 A new axiom: (forall (P:(nat->Prop)) (N:nat), ((forall (N2:nat), (((P N2)->False)->((ex nat) (fun (M:nat)=> ((and ((ord_less_nat M) N2)) ((P M)->False))))))->(P N)))
% 0.76/0.94 FOF formula (forall (P:(nat->Prop)) (N:nat), ((forall (N2:nat), ((forall (M:nat), (((ord_less_nat M) N2)->(P M)))->(P N2)))->(P N))) of role axiom named fact_36_nat__less__induct
% 0.76/0.94 A new axiom: (forall (P:(nat->Prop)) (N:nat), ((forall (N2:nat), ((forall (M:nat), (((ord_less_nat M) N2)->(P M)))->(P N2)))->(P N)))
% 0.76/0.94 FOF formula (forall (N:nat), (((ord_less_nat N) N)->False)) of role axiom named fact_37_less__irrefl__nat
% 0.76/0.94 A new axiom: (forall (N:nat), (((ord_less_nat N) N)->False))
% 0.76/0.94 FOF formula (forall (S:nat) (T:nat), (((ord_less_nat S) T)->(not (((eq nat) S) T)))) of role axiom named fact_38_less__not__refl3
% 0.76/0.94 A new axiom: (forall (S:nat) (T:nat), (((ord_less_nat S) T)->(not (((eq nat) S) T))))
% 0.76/0.94 FOF formula (forall (N:nat) (M2:nat), (((ord_less_nat N) M2)->(not (((eq nat) M2) N)))) of role axiom named fact_39_less__not__refl2
% 0.76/0.94 A new axiom: (forall (N:nat) (M2:nat), (((ord_less_nat N) M2)->(not (((eq nat) M2) N))))
% 0.76/0.95 FOF formula (forall (N:nat), (((ord_less_nat N) N)->False)) of role axiom named fact_40_less__not__refl
% 0.76/0.95 A new axiom: (forall (N:nat), (((ord_less_nat N) N)->False))
% 0.76/0.95 FOF formula (forall (M2:nat) (N:nat), (((eq Prop) (not (((eq nat) M2) N))) ((or ((ord_less_nat M2) N)) ((ord_less_nat N) M2)))) of role axiom named fact_41_nat__neq__iff
% 0.76/0.95 A new axiom: (forall (M2:nat) (N:nat), (((eq Prop) (not (((eq nat) M2) N))) ((or ((ord_less_nat M2) N)) ((ord_less_nat N) M2))))
% 0.76/0.95 FOF formula (forall (N:nat), (((eq Prop) ((ord_less_nat zero_zero_nat) N)) (not (((eq nat) N) zero_zero_nat)))) of role axiom named fact_42_zero__less__iff__neq__zero
% 0.76/0.95 A new axiom: (forall (N:nat), (((eq Prop) ((ord_less_nat zero_zero_nat) N)) (not (((eq nat) N) zero_zero_nat))))
% 0.76/0.95 FOF formula (forall (M2:nat) (N:nat), (((ord_less_nat M2) N)->(not (((eq nat) N) zero_zero_nat)))) of role axiom named fact_43_gr__implies__not__zero
% 0.76/0.95 A new axiom: (forall (M2:nat) (N:nat), (((ord_less_nat M2) N)->(not (((eq nat) N) zero_zero_nat))))
% 0.76/0.95 FOF formula (forall (A:complex) (P:(complex->Prop)), (((eq Prop) ((member_complex A) (collect_complex P))) (P A))) of role axiom named fact_44_mem__Collect__eq
% 0.76/0.95 A new axiom: (forall (A:complex) (P:(complex->Prop)), (((eq Prop) ((member_complex A) (collect_complex P))) (P A)))
% 0.76/0.95 FOF formula (forall (A:real) (P:(real->Prop)), (((eq Prop) ((member_real A) (collect_real P))) (P A))) of role axiom named fact_45_mem__Collect__eq
% 0.76/0.95 A new axiom: (forall (A:real) (P:(real->Prop)), (((eq Prop) ((member_real A) (collect_real P))) (P A)))
% 0.76/0.95 FOF formula (forall (A:list_nat) (P:(list_nat->Prop)), (((eq Prop) ((member_list_nat A) (collect_list_nat P))) (P A))) of role axiom named fact_46_mem__Collect__eq
% 0.76/0.95 A new axiom: (forall (A:list_nat) (P:(list_nat->Prop)), (((eq Prop) ((member_list_nat A) (collect_list_nat P))) (P A)))
% 0.76/0.95 FOF formula (forall (A:set_nat) (P:(set_nat->Prop)), (((eq Prop) ((member_set_nat A) (collect_set_nat P))) (P A))) of role axiom named fact_47_mem__Collect__eq
% 0.76/0.95 A new axiom: (forall (A:set_nat) (P:(set_nat->Prop)), (((eq Prop) ((member_set_nat A) (collect_set_nat P))) (P A)))
% 0.76/0.95 FOF formula (forall (A:nat) (P:(nat->Prop)), (((eq Prop) ((member_nat A) (collect_nat P))) (P A))) of role axiom named fact_48_mem__Collect__eq
% 0.76/0.95 A new axiom: (forall (A:nat) (P:(nat->Prop)), (((eq Prop) ((member_nat A) (collect_nat P))) (P A)))
% 0.76/0.95 FOF formula (forall (A:int) (P:(int->Prop)), (((eq Prop) ((member_int A) (collect_int P))) (P A))) of role axiom named fact_49_mem__Collect__eq
% 0.76/0.95 A new axiom: (forall (A:int) (P:(int->Prop)), (((eq Prop) ((member_int A) (collect_int P))) (P A)))
% 0.76/0.95 FOF formula (forall (A2:set_complex), (((eq set_complex) (collect_complex (fun (X2:complex)=> ((member_complex X2) A2)))) A2)) of role axiom named fact_50_Collect__mem__eq
% 0.76/0.95 A new axiom: (forall (A2:set_complex), (((eq set_complex) (collect_complex (fun (X2:complex)=> ((member_complex X2) A2)))) A2))
% 0.76/0.95 FOF formula (forall (A2:set_real), (((eq set_real) (collect_real (fun (X2:real)=> ((member_real X2) A2)))) A2)) of role axiom named fact_51_Collect__mem__eq
% 0.76/0.95 A new axiom: (forall (A2:set_real), (((eq set_real) (collect_real (fun (X2:real)=> ((member_real X2) A2)))) A2))
% 0.76/0.95 FOF formula (forall (A2:set_list_nat), (((eq set_list_nat) (collect_list_nat (fun (X2:list_nat)=> ((member_list_nat X2) A2)))) A2)) of role axiom named fact_52_Collect__mem__eq
% 0.76/0.95 A new axiom: (forall (A2:set_list_nat), (((eq set_list_nat) (collect_list_nat (fun (X2:list_nat)=> ((member_list_nat X2) A2)))) A2))
% 0.76/0.95 FOF formula (forall (A2:set_set_nat), (((eq set_set_nat) (collect_set_nat (fun (X2:set_nat)=> ((member_set_nat X2) A2)))) A2)) of role axiom named fact_53_Collect__mem__eq
% 0.76/0.95 A new axiom: (forall (A2:set_set_nat), (((eq set_set_nat) (collect_set_nat (fun (X2:set_nat)=> ((member_set_nat X2) A2)))) A2))
% 0.76/0.95 FOF formula (forall (A2:set_nat), (((eq set_nat) (collect_nat (fun (X2:nat)=> ((member_nat X2) A2)))) A2)) of role axiom named fact_54_Collect__mem__eq
% 0.76/0.95 A new axiom: (forall (A2:set_nat), (((eq set_nat) (collect_nat (fun (X2:nat)=> ((member_nat X2) A2)))) A2))
% 0.76/0.95 FOF formula (forall (A2:set_int), (((eq set_int) (collect_int (fun (X2:int)=> ((member_int X2) A2)))) A2)) of role axiom named fact_55_Collect__mem__eq
% 0.76/0.96 A new axiom: (forall (A2:set_int), (((eq set_int) (collect_int (fun (X2:int)=> ((member_int X2) A2)))) A2))
% 0.76/0.96 FOF formula (forall (P:(real->Prop)) (Q:(real->Prop)), ((forall (X3:real), (((eq Prop) (P X3)) (Q X3)))->(((eq set_real) (collect_real P)) (collect_real Q)))) of role axiom named fact_56_Collect__cong
% 0.76/0.96 A new axiom: (forall (P:(real->Prop)) (Q:(real->Prop)), ((forall (X3:real), (((eq Prop) (P X3)) (Q X3)))->(((eq set_real) (collect_real P)) (collect_real Q))))
% 0.76/0.96 FOF formula (forall (P:(list_nat->Prop)) (Q:(list_nat->Prop)), ((forall (X3:list_nat), (((eq Prop) (P X3)) (Q X3)))->(((eq set_list_nat) (collect_list_nat P)) (collect_list_nat Q)))) of role axiom named fact_57_Collect__cong
% 0.76/0.96 A new axiom: (forall (P:(list_nat->Prop)) (Q:(list_nat->Prop)), ((forall (X3:list_nat), (((eq Prop) (P X3)) (Q X3)))->(((eq set_list_nat) (collect_list_nat P)) (collect_list_nat Q))))
% 0.76/0.96 FOF formula (forall (P:(set_nat->Prop)) (Q:(set_nat->Prop)), ((forall (X3:set_nat), (((eq Prop) (P X3)) (Q X3)))->(((eq set_set_nat) (collect_set_nat P)) (collect_set_nat Q)))) of role axiom named fact_58_Collect__cong
% 0.76/0.96 A new axiom: (forall (P:(set_nat->Prop)) (Q:(set_nat->Prop)), ((forall (X3:set_nat), (((eq Prop) (P X3)) (Q X3)))->(((eq set_set_nat) (collect_set_nat P)) (collect_set_nat Q))))
% 0.76/0.96 FOF formula (forall (P:(nat->Prop)) (Q:(nat->Prop)), ((forall (X3:nat), (((eq Prop) (P X3)) (Q X3)))->(((eq set_nat) (collect_nat P)) (collect_nat Q)))) of role axiom named fact_59_Collect__cong
% 0.76/0.96 A new axiom: (forall (P:(nat->Prop)) (Q:(nat->Prop)), ((forall (X3:nat), (((eq Prop) (P X3)) (Q X3)))->(((eq set_nat) (collect_nat P)) (collect_nat Q))))
% 0.76/0.96 FOF formula (forall (P:(int->Prop)) (Q:(int->Prop)), ((forall (X3:int), (((eq Prop) (P X3)) (Q X3)))->(((eq set_int) (collect_int P)) (collect_int Q)))) of role axiom named fact_60_Collect__cong
% 0.76/0.96 A new axiom: (forall (P:(int->Prop)) (Q:(int->Prop)), ((forall (X3:int), (((eq Prop) (P X3)) (Q X3)))->(((eq set_int) (collect_int P)) (collect_int Q))))
% 0.76/0.96 FOF formula (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False)) of role axiom named fact_61_not__less__zero
% 0.76/0.96 A new axiom: (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False))
% 0.76/0.96 FOF formula (forall (N:nat), ((not (((eq nat) N) zero_zero_nat))->((ord_less_nat zero_zero_nat) N))) of role axiom named fact_62_gr__zeroI
% 0.76/0.96 A new axiom: (forall (N:nat), ((not (((eq nat) N) zero_zero_nat))->((ord_less_nat zero_zero_nat) N)))
% 0.76/0.96 FOF formula (forall (P:(nat->Prop)) (N:nat), ((P zero_zero_nat)->((forall (N2:nat), (((ord_less_nat zero_zero_nat) N2)->(((P N2)->False)->((ex nat) (fun (M:nat)=> ((and ((ord_less_nat M) N2)) ((P M)->False)))))))->(P N)))) of role axiom named fact_63_infinite__descent0
% 0.76/0.96 A new axiom: (forall (P:(nat->Prop)) (N:nat), ((P zero_zero_nat)->((forall (N2:nat), (((ord_less_nat zero_zero_nat) N2)->(((P N2)->False)->((ex nat) (fun (M:nat)=> ((and ((ord_less_nat M) N2)) ((P M)->False)))))))->(P N))))
% 0.76/0.96 FOF formula (forall (M2:nat) (N:nat), (((ord_less_nat M2) N)->(not (((eq nat) N) zero_zero_nat)))) of role axiom named fact_64_gr__implies__not0
% 0.76/0.96 A new axiom: (forall (M2:nat) (N:nat), (((ord_less_nat M2) N)->(not (((eq nat) N) zero_zero_nat))))
% 0.76/0.96 FOF formula (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False)) of role axiom named fact_65_less__zeroE
% 0.76/0.96 A new axiom: (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False))
% 0.76/0.96 FOF formula (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False)) of role axiom named fact_66_not__less0
% 0.76/0.96 A new axiom: (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False))
% 0.76/0.96 FOF formula (forall (N:nat), (((eq Prop) (((ord_less_nat zero_zero_nat) N)->False)) (((eq nat) N) zero_zero_nat))) of role axiom named fact_67_not__gr0
% 0.76/0.96 A new axiom: (forall (N:nat), (((eq Prop) (((ord_less_nat zero_zero_nat) N)->False)) (((eq nat) N) zero_zero_nat)))
% 0.76/0.96 FOF formula (forall (N:nat), ((not (((eq nat) N) zero_zero_nat))->((ord_less_nat zero_zero_nat) N))) of role axiom named fact_68_gr0I
% 0.76/0.96 A new axiom: (forall (N:nat), ((not (((eq nat) N) zero_zero_nat))->((ord_less_nat zero_zero_nat) N)))
% 0.76/0.96 FOF formula (forall (A:nat), (((ord_less_nat A) zero_zero_nat)->False)) of role axiom named fact_69_bot__nat__0_Oextremum__strict
% 0.76/0.96 A new axiom: (forall (A:nat), (((ord_less_nat A) zero_zero_nat)->False))
% 0.76/0.96 <<<_VEBT] :
% 0.76/0.96 ( Y
% 0.76/0.96 != ( vEBT_Node @ X112 @ X122 @ X132 @ X142 ) )
% 0.76/0.96 => ~ !>>>!!!<<< [X212: $o,X222: $o] :
% 0.76/0.96 ( Y
% 0.76/0.96 != ( vEBT_Leaf @ X212 @ X222 ) ) ) ).
% 0.76/0.96
% 0.76/0.96 %>>>
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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, LexToken(THF,'thf',1,162427), LexToken(LPAR,'(',1,162430), name, LexToken(COMMA,',',1,162452), formula_role, LexToken(COMMA,',',1,162458), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,162466), thf_variable_list, LexToken(RBRACKET,']',1,162479), LexToken(COLON,':',1,162481), LexToken(LPAR,'(',1,162489), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.76/0.96 Unexpected exception Syntax error at '!':BANG
% 0.76/0.96 Traceback (most recent call last):
% 0.76/0.96 File "CASC.py", line 79, in <module>
% 0.76/0.96 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.76/0.96 File "/export/starexec/sandbox/solver/bin/TPTP.py", line 38, in __init__
% 0.76/0.96 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.76/0.96 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 265, in parse
% 0.76/0.96 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.76/0.96 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.76/0.96 tok = self.errorfunc(errtoken)
% 0.76/0.96 File "/export/starexec/sandbox/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.76/0.96 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.76/0.96 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------