TSTP Solution File: ITP240^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP240^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n022.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 17:47:42 EDT 2022
% Result : Unknown 0.67s 0.85s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP240^3 : TPTP v7.6.0. Released v7.6.0.
% 0.12/0.13 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 Computer : n022.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 11:37:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.38/0.58 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.38/0.58 FOF formula (<kernel.Constant object at 0xbd3b48>, <kernel.Type object at 0xbd3290>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc5542196010084753463at_nat:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0xbd3a28>, <kernel.Type object at 0xbd3f38>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring set_Pr1281608226676607948nteger:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0xbd3c20>, <kernel.Type object at 0xbd3f80>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc1908205239877642774nteger:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0xbd3a28>, <kernel.Type object at 0xbd3b48>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc5491161045314408544at_nat:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0xbd38c0>, <kernel.Type object at 0xbd3c20>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring set_Pr9222295170931077689nt_int:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0xbd3050>, <kernel.Type object at 0xbd3a28>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc2285326912895808259nt_int:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0xbd36c8>, <kernel.Type object at 0xbd38c0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring set_Pr8056137968301705908nteger:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0xbd3248>, <kernel.Type object at 0xbd3050>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc8763457246119570046nteger:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0xbd3d40>, <kernel.Type object at 0xbd36c8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring set_Pr1872883991513573699nt_int:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0xbd33b0>, <kernel.Type object at 0xbd1998>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc7773217078559923341nt_int:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0xbd3d40>, <kernel.Type object at 0xbd1368>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Num__Onum_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc1193250871479095198on_num:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0xbd3d40>, <kernel.Type object at 0x2b0eb86a9dd0>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc8306885398267862888on_nat:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0xbd3b90>, <kernel.Type object at 0x2b0eb86a8998>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc6121120109295599847at_nat:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0xbd3d40>, <kernel.Type object at 0x2b0eb86a8050>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc4471711990508489141at_nat:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0xbd3d40>, <kernel.Type object at 0x2b0eb86a8098>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc7036089656553540234on_num:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0xbd3b90>, <kernel.Type object at 0x2b0eb86a8128>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc2233624965454879586on_nat:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0x2b0eb86a8878>, <kernel.Type object at 0x2b0eb86a8ab8>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc6241069584506657477e_term:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0x2b0eb86a87a0>, <kernel.Type object at 0x2b0eb86a8830>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Complex__Ocomplex_J_Mt__Set__Oset_It__Complex__Ocomplex_J_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring set_Pr6308028481084910985omplex:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0x2b0eb86a8a28>, <kernel.Type object at 0x2b0eb86a8878>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring list_P7413028617227757229T_VEBT:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0x2b0eb86a8f80>, <kernel.Type object at 0x2b0eb86a8200>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc8551481072490612790e_term:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0x2b0eb86a8a28>, <kernel.Type object at 0x2b0eb86a87a0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Nat__Onat_J_Mt__Set__Oset_It__Nat__Onat_J_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring set_Pr5488025237498180813et_nat:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0x2b0eb86a8b00>, <kernel.Type object at 0x2b0eb86a8f80>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Int__Oint_J_Mt__Set__Oset_It__Int__Oint_J_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring set_Pr2522554150109002629et_int:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0x2b0eb86a8bd8>, <kernel.Type object at 0x2b0eb86a8a28>) of role type named ty_n_t__Product____Type__Oprod_It__Set__Oset_It__Complex__Ocomplex_J_Mt__Set__Oset_It__Complex__Ocomplex_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc8064648209034914857omplex:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0x2b0eb86a8758>, <kernel.Type object at 0x2b0eb86a8b00>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring option6357759511663192854e_term:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0x2b0eb86a82d8>, <kernel.Type object at 0x2b0eb86a8bd8>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc3447558737645232053on_num:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0x2b0eb86a8488>, <kernel.Type object at 0x2b0eb86a8758>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc4953844613479565601on_nat:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0x2b0eb86a86c8>, <kernel.Type object at 0x2b0eb8684c20>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc7248412053542808358at_nat:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0x2b0eb86a86c8>, <kernel.Type object at 0x2b0eb8684e18>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring list_P7037539587688870467BT_nat:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0x2b0eb86a8488>, <kernel.Type object at 0x2b0eb868b170>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring list_P4547456442757143711BT_int:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0x2b0eb86a8758>, <kernel.Type object at 0xe669e0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring list_P5647936690300460905T_VEBT:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0x2b0eb86a8488>, <kernel.Type object at 0xe66c68>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc8243902056947475879T_VEBT:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0x2b0eb86a8488>, <kernel.Type object at 0x2b0eb868b170>) of role type named ty_n_t__Product____Type__Oprod_It__Set__Oset_It__Nat__Onat_J_Mt__Set__Oset_It__Nat__Onat_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc7819656566062154093et_nat:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0x2b0eb86a86c8>, <kernel.Type object at 0xbd6488>) of role type named ty_n_t__Product____Type__Oprod_It__Set__Oset_It__Int__Oint_J_Mt__Set__Oset_It__Int__Oint_J_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc2115011035271226405et_int:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0x2b0eb86a86c8>, <kernel.Type object at 0xbd6878>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.38/0.58 Using role type
% 0.38/0.58 Declaring produc8923325533196201883nteger:Type
% 0.38/0.58 FOF formula (<kernel.Constant object at 0x2b0eb86a8488>, <kernel.Type object at 0xbd6518>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring list_P3126845725202233233VEBT_o:Type
% 0.40/0.58 FOF formula (<kernel.Constant object at 0xbd6a70>, <kernel.Type object at 0xbd6ef0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring list_P7495141550334521929T_VEBT:Type
% 0.40/0.58 FOF formula (<kernel.Constant object at 0xbd63f8>, <kernel.Type object at 0xbd67e8>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring option4927543243414619207at_nat:Type
% 0.40/0.58 FOF formula (<kernel.Constant object at 0xbd6a28>, <kernel.Type object at 0xbd6a70>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring filter1242075044329608583at_nat:Type
% 0.40/0.58 FOF formula (<kernel.Constant object at 0xbd6f38>, <kernel.Type object at 0xbd6638>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring list_P6011104703257516679at_nat:Type
% 0.40/0.58 FOF formula (<kernel.Constant object at 0xbd6a28>, <kernel.Type object at 0xbd63f8>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring produc9072475918466114483BT_nat:Type
% 0.40/0.58 FOF formula (<kernel.Constant object at 0xbd6fc8>, <kernel.Type object at 0xbd6f38>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring produc4894624898956917775BT_int:Type
% 0.40/0.58 FOF formula (<kernel.Constant object at 0xbd62d8>, <kernel.Type object at 0xbd6a28>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring produc8025551001238799321T_VEBT:Type
% 0.40/0.58 FOF formula (<kernel.Constant object at 0xbd6950>, <kernel.Type object at 0xbd6fc8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring set_Pr1261947904930325089at_nat:Type
% 0.40/0.58 FOF formula (<kernel.Constant object at 0xbd6ea8>, <kernel.Type object at 0xbd62d8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring set_Pr958786334691620121nt_int:Type
% 0.40/0.58 FOF formula (<kernel.Constant object at 0xbd6710>, <kernel.Type object at 0xd3b290>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring list_P7333126701944960589_nat_o:Type
% 0.40/0.58 FOF formula (<kernel.Constant object at 0xbd6ea8>, <kernel.Type object at 0xd3b2d8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring list_P6285523579766656935_o_nat:Type
% 0.40/0.58 FOF formula (<kernel.Constant object at 0xbd6ea8>, <kernel.Type object at 0xd3b200>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring list_P3795440434834930179_o_int:Type
% 0.40/0.58 FOF formula (<kernel.Constant object at 0xbd61b8>, <kernel.Type object at 0xd3b2d8>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring set_list_VEBT_VEBT:Type
% 0.40/0.58 FOF formula (<kernel.Constant object at 0xd3b1b8>, <kernel.Type object at 0xd3b128>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring produc334124729049499915VEBT_o:Type
% 0.40/0.58 FOF formula (<kernel.Constant object at 0xd3b200>, <kernel.Type object at 0xd3b170>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring produc2504756804600209347T_VEBT:Type
% 0.40/0.58 FOF formula (<kernel.Constant object at 0xd3b050>, <kernel.Type object at 0xd3b1b8>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.40/0.58 Using role type
% 0.40/0.58 Declaring produc6271795597528267376eger_o:Type
% 0.40/0.58 FOF formula (<kernel.Constant object at 0xd3b3f8>, <kernel.Type object at 0xd3b170>) of role type named ty_n_t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring product_prod_num_num:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b368>, <kernel.Type object at 0xd3b440>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring product_prod_nat_num:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b200>, <kernel.Type object at 0xd3b4d0>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring product_prod_nat_nat:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b3f8>, <kernel.Type object at 0xd3b518>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring product_prod_int_int:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b200>, <kernel.Type object at 0xd3b368>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring list_P4002435161011370285od_o_o:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b3f8>, <kernel.Type object at 0xd3b518>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Complex__Ocomplex_J_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring set_list_complex:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b440>, <kernel.Type object at 0xd3b5f0>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Complex__Ocomplex_J_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring set_set_complex:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b200>, <kernel.Type object at 0xd3b680>) of role type named ty_n_t__List__Olist_It__List__Olist_It__Nat__Onat_J_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring list_list_nat:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b3f8>, <kernel.Type object at 0xd3b6c8>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring list_VEBT_VEBT:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b440>, <kernel.Type object at 0xd3b710>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring set_list_nat:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b200>, <kernel.Type object at 0xd3b758>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Int__Oint_J_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring set_list_int:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b3f8>, <kernel.Type object at 0xd3b7a0>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring product_prod_nat_o:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b440>, <kernel.Type object at 0xd3b7e8>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring product_prod_o_nat:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b200>, <kernel.Type object at 0xd3b830>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring product_prod_o_int:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b3f8>, <kernel.Type object at 0xd3b878>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring set_VEBT_VEBT:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b440>, <kernel.Type object at 0xd3b8c0>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring set_set_nat:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b200>, <kernel.Type object at 0xd3b908>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring set_set_int:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b3f8>, <kernel.Type object at 0xd3b950>) of role type named ty_n_t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring set_Code_integer:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b440>, <kernel.Type object at 0xd3b998>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring list_complex:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b200>, <kernel.Type object at 0xd3b9e0>) of role type named ty_n_t__Set__Oset_It__List__Olist_I_Eo_J_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring set_list_o:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b3f8>, <kernel.Type object at 0xd3ba28>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring product_prod_o_o:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b440>, <kernel.Type object at 0xd3ba70>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring set_complex:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b200>, <kernel.Type object at 0xd3bab8>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring filter_real:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b3f8>, <kernel.Type object at 0xd3bb00>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring option_num:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b440>, <kernel.Type object at 0xd3bb48>) of role type named ty_n_t__Option__Ooption_It__Nat__Onat_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring option_nat:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b200>, <kernel.Type object at 0xd3bb90>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring filter_nat:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b3f8>, <kernel.Type object at 0xd3bbd8>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring set_char:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b440>, <kernel.Type object at 0xd3bc20>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring list_real:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b098>, <kernel.Type object at 0xd3bbd8>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring set_real:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b200>, <kernel.Type object at 0xd3bcb0>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring list_nat:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b440>, <kernel.Type object at 0xd3bd40>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring list_int:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3bb90>, <kernel.Type object at 0xd3bd88>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring vEBT_VEBT:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b098>, <kernel.Type object at 0xd3bdd0>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring set_rat:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b200>, <kernel.Type object at 0xd3be18>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring set_num:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b440>, <kernel.Type object at 0xd3be60>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring set_nat:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3bb90>, <kernel.Type object at 0xd3bea8>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring set_int:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b098>, <kernel.Type object at 0xd3bef0>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring code_integer:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b200>, <kernel.Type object at 0xd3bf38>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring extended_enat:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3bb90>, <kernel.Type object at 0xd3bea8>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring list_o:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b3f8>, <kernel.Type object at 0xd3bfc8>) of role type named ty_n_t__Complex__Ocomplex
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring complex:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3b098>, <kernel.Type object at 0xd3bea8>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring set_o:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3bfc8>, <kernel.Type object at 0xbbd098>) of role type named ty_n_t__String__Ochar
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring char:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3bea8>, <kernel.Type object at 0xbbd098>) of role type named ty_n_t__Real__Oreal
% 0.40/0.59 Using role type
% 0.40/0.59 Declaring real:Type
% 0.40/0.59 FOF formula (<kernel.Constant object at 0xd3bef0>, <kernel.Type object at 0xbbd050>) of role type named ty_n_t__Rat__Orat
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring rat:Type
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xd3b098>, <kernel.Type object at 0xbbd128>) of role type named ty_n_t__Num__Onum
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring num:Type
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xd3bea8>, <kernel.Type object at 0xbbd170>) of role type named ty_n_t__Nat__Onat
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring nat:Type
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xd3b098>, <kernel.Type object at 0xbbd1b8>) of role type named ty_n_t__Int__Oint
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring int:Type
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbd050>, <kernel.DependentProduct object at 0xbbd368>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring archim7802044766580827645g_real:(real->int)
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbd200>, <kernel.DependentProduct object at 0xbbd3f8>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring archim3151403230148437115or_rat:(rat->int)
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbd368>, <kernel.DependentProduct object at 0xbbd488>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring archim6058952711729229775r_real:(real->int)
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbd3f8>, <kernel.DependentProduct object at 0xbbd518>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbd488>, <kernel.DependentProduct object at 0xbbd5a8>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring archim8280529875227126926d_real:(real->int)
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbd518>, <kernel.Constant object at 0xbbd0e0>) of role type named sy_c_BNF__Cardinal__Order__Relation_OnatLess
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring bNF_Ca8459412986667044542atLess:set_Pr1261947904930325089at_nat
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbd5a8>, <kernel.DependentProduct object at 0xbbd638>) 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
% 0.40/0.60 Using role type
% 0.40/0.60 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))))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbd0e0>, <kernel.DependentProduct object at 0xbbd830>) 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
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring bNF_re895249473297799549at_rat:(((nat->rat)->((nat->rat)->Prop))->(((nat->rat)->((nat->rat)->Prop))->(((nat->rat)->(nat->rat))->(((nat->rat)->(nat->rat))->Prop))))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbd638>, <kernel.DependentProduct object at 0xbbd518>) 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
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring bNF_re728719798268516973at_o_o:(((nat->rat)->((nat->rat)->Prop))->((Prop->(Prop->Prop))->(((nat->rat)->Prop)->(((nat->rat)->Prop)->Prop))))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbd830>, <kernel.DependentProduct object at 0xbbd710>) 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
% 0.40/0.60 Using role type
% 0.40/0.60 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))))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbd518>, <kernel.DependentProduct object at 0xbbd9e0>) 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
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring bNF_re4521903465945308077real_o:(((nat->rat)->(real->Prop))->((((nat->rat)->Prop)->((real->Prop)->Prop))->(((nat->rat)->((nat->rat)->Prop))->((real->(real->Prop))->Prop))))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbd710>, <kernel.DependentProduct object at 0xbbd830>) 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
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring bNF_re3023117138289059399t_real:(((nat->rat)->(real->Prop))->(((nat->rat)->(real->Prop))->(((nat->rat)->(nat->rat))->((real->real)->Prop))))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbd9e0>, <kernel.DependentProduct object at 0xbbdb00>) 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
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring bNF_re4297313714947099218al_o_o:(((nat->rat)->(real->Prop))->((Prop->(Prop->Prop))->(((nat->rat)->Prop)->((real->Prop)->Prop))))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbd830>, <kernel.DependentProduct object at 0xbbd6c8>) 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
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring bNF_re3403563459893282935_int_o:((int->(int->Prop))->(((int->Prop)->((int->Prop)->Prop))->((int->(int->Prop))->((int->(int->Prop))->Prop))))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbdb00>, <kernel.DependentProduct object at 0xbbdcb0>) 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
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring bNF_re711492959462206631nt_int:((int->(int->Prop))->(((int->int)->((int->int)->Prop))->((int->(int->int))->((int->(int->int))->Prop))))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbd6c8>, <kernel.DependentProduct object at 0xbbdd88>) 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
% 0.40/0.60 Using role type
% 0.40/0.60 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))))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbdcb0>, <kernel.DependentProduct object at 0xbbde18>) 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
% 0.40/0.60 Using role type
% 0.40/0.60 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))))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbdd88>, <kernel.DependentProduct object at 0xbbdbd8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_Eo_001_Eo
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring bNF_re5089333283451836215nt_o_o:((int->(int->Prop))->((Prop->(Prop->Prop))->((int->Prop)->((int->Prop)->Prop))))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbde18>, <kernel.DependentProduct object at 0xbbddd0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring bNF_re4712519889275205905nt_int:((int->(int->Prop))->((int->(int->Prop))->((int->int)->((int->int)->Prop))))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0xbbdbd8>, <kernel.DependentProduct object at 0xbbde60>) 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
% 0.40/0.60 Using role type
% 0.40/0.60 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))))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0xbbddd0>, <kernel.DependentProduct object at 0xbbdef0>) 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
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring bNF_re2214769303045360666nt_rat:((int->(int->Prop))->((product_prod_int_int->(rat->Prop))->((int->product_prod_int_int)->((int->rat)->Prop))))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0xbbde60>, <kernel.DependentProduct object at 0xbbdfc8>) 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
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring bNF_re578469030762574527_nat_o:((nat->(nat->Prop))->(((nat->Prop)->((nat->Prop)->Prop))->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0xbbdef0>, <kernel.DependentProduct object at 0xbbdcf8>) 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
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring bNF_re1345281282404953727at_nat:((nat->(nat->Prop))->(((nat->nat)->((nat->nat)->Prop))->((nat->(nat->nat))->((nat->(nat->nat))->Prop))))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0xbbdfc8>, <kernel.DependentProduct object at 0xbc0128>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_Eo_001_Eo
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring bNF_re4705727531993890431at_o_o:((nat->(nat->Prop))->((Prop->(Prop->Prop))->((nat->Prop)->((nat->Prop)->Prop))))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0xbbdcf8>, <kernel.DependentProduct object at 0xbc0200>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring bNF_re5653821019739307937at_nat:((nat->(nat->Prop))->((nat->(nat->Prop))->((nat->nat)->((nat->nat)->Prop))))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0xbbdcf8>, <kernel.DependentProduct object at 0xbc02d8>) 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
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring bNF_re6830278522597306478at_int:((nat->(nat->Prop))->((product_prod_nat_nat->(int->Prop))->((nat->product_prod_nat_nat)->((nat->int)->Prop))))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0xbbdcf8>, <kernel.DependentProduct object at 0xbc0128>) 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
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring bNF_re8402795839162346335um_int:((num->(num->Prop))->(((num->int)->((num->int)->Prop))->((num->(num->int))->((num->(num->int))->Prop))))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0xbc0290>, <kernel.DependentProduct object at 0xbc0170>) of role type named sy_c_BNF__Def_Orel__fun_001t__Num__Onum_001t__Num__Onum_001t__Int__Oint_001t__Int__Oint
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring bNF_re1822329894187522285nt_int:((num->(num->Prop))->((int->(int->Prop))->((num->int)->((num->int)->Prop))))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0xbc0128>, <kernel.DependentProduct object at 0xbc0200>) 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_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring bNF_re5228765855967844073nt_int:((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))->((product_prod_int_int->(product_prod_int_int->product_prod_int_int))->((product_prod_int_int->(product_prod_int_int->product_prod_int_int))->Prop))))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0xbc0320>, <kernel.DependentProduct object at 0xbc0440>) 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
% 0.40/0.62 Using role type
% 0.40/0.62 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))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0200>, <kernel.DependentProduct object at 0xbc0560>) 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
% 0.40/0.62 Using role type
% 0.40/0.62 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))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0440>, <kernel.DependentProduct object at 0xbc0128>) 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_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Rat__Orat_Mt__Rat__Orat_J
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring bNF_re7627151682743391978at_rat:((product_prod_int_int->(rat->Prop))->(((product_prod_int_int->product_prod_int_int)->((rat->rat)->Prop))->((product_prod_int_int->(product_prod_int_int->product_prod_int_int))->((rat->(rat->rat))->Prop))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0290>, <kernel.DependentProduct object at 0xbc05f0>) 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
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring bNF_re1494630372529172596at_o_o:((product_prod_int_int->(rat->Prop))->((Prop->(Prop->Prop))->((product_prod_int_int->Prop)->((rat->Prop)->Prop))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0128>, <kernel.DependentProduct object at 0xbc0680>) 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
% 0.40/0.62 Using role type
% 0.40/0.62 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))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc05f0>, <kernel.DependentProduct object at 0xbc03f8>) 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
% 0.40/0.62 Using role type
% 0.40/0.62 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))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0680>, <kernel.DependentProduct object at 0xbc08c0>) 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
% 0.40/0.62 Using role type
% 0.40/0.62 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))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc03f8>, <kernel.DependentProduct object at 0xbc0638>) 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
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring bNF_re6644619430987730960nt_o_o:((product_prod_nat_nat->(int->Prop))->((Prop->(Prop->Prop))->((product_prod_nat_nat->Prop)->((int->Prop)->Prop))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc08c0>, <kernel.DependentProduct object at 0xbc0878>) 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
% 0.40/0.62 Using role type
% 0.40/0.62 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))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0638>, <kernel.DependentProduct object at 0xbc0830>) 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
% 0.40/0.62 Using role type
% 0.40/0.62 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))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0878>, <kernel.DependentProduct object at 0xbc0b00>) 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
% 0.40/0.62 Using role type
% 0.40/0.62 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))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0830>, <kernel.DependentProduct object at 0xbc00e0>) 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
% 0.40/0.62 Using role type
% 0.40/0.62 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))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0b00>, <kernel.DependentProduct object at 0xbc0ab8>) 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
% 0.40/0.62 Using role type
% 0.40/0.62 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))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0638>, <kernel.DependentProduct object at 0xbc00e0>) of role type named sy_c_Binomial_Obinomial
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring binomial:(nat->(nat->nat))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0c68>, <kernel.DependentProduct object at 0xbc0b00>) of role type named sy_c_Binomial_Ogbinomial_001t__Complex__Ocomplex
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring gbinomial_complex:(complex->(nat->complex))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0710>, <kernel.DependentProduct object at 0xbc0638>) of role type named sy_c_Binomial_Ogbinomial_001t__Int__Oint
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring gbinomial_int:(int->(nat->int))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0878>, <kernel.DependentProduct object at 0xbc0c68>) of role type named sy_c_Binomial_Ogbinomial_001t__Nat__Onat
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring gbinomial_nat:(nat->(nat->nat))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0950>, <kernel.DependentProduct object at 0xbc0710>) of role type named sy_c_Binomial_Ogbinomial_001t__Rat__Orat
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring gbinomial_rat:(rat->(nat->rat))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0ab8>, <kernel.DependentProduct object at 0xbc0878>) of role type named sy_c_Binomial_Ogbinomial_001t__Real__Oreal
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring gbinomial_real:(real->(nat->real))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0488>, <kernel.DependentProduct object at 0xbc0ab8>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc00e0>, <kernel.DependentProduct object at 0xbc0878>) of role type named sy_c_Bit__Operations_Oand__not__num
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring bit_and_not_num:(num->(num->option_num))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0638>, <kernel.DependentProduct object at 0xbc0950>) of role type named sy_c_Bit__Operations_Oand__not__num__rel
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring bit_and_not_num_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0d40>, <kernel.DependentProduct object at 0xbc0638>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0e60>, <kernel.DependentProduct object at 0xbc0488>) of role type named sy_c_Bit__Operations_Oor__not__num__neg
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring bit_or_not_num_neg:(num->(num->num))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0950>, <kernel.DependentProduct object at 0xbc0e60>) of role type named sy_c_Bit__Operations_Oor__not__num__neg__rel
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring bit_or3848514188828904588eg_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0488>, <kernel.DependentProduct object at 0xbc0ef0>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0e60>, <kernel.DependentProduct object at 0xbc0488>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0ef0>, <kernel.DependentProduct object at 0xbc0e60>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0488>, <kernel.DependentProduct object at 0xbc0830>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0488>, <kernel.DependentProduct object at 0xbc70e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0488>, <kernel.DependentProduct object at 0xbc71b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc0950>, <kernel.DependentProduct object at 0xbc7248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0xbc71b8>, <kernel.DependentProduct object at 0xbc72d8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc70e0>, <kernel.DependentProduct object at 0xbc7368>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc7200>, <kernel.DependentProduct object at 0xbc73f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc7050>, <kernel.DependentProduct object at 0xbc70e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc73f8>, <kernel.DependentProduct object at 0xbc7560>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc70e0>, <kernel.DependentProduct object at 0xbc73f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc7560>, <kernel.DependentProduct object at 0xbc70e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc73f8>, <kernel.DependentProduct object at 0xbc7560>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc70e0>, <kernel.DependentProduct object at 0xbc73f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc7560>, <kernel.DependentProduct object at 0xbc70e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc73f8>, <kernel.DependentProduct object at 0xbc7560>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc70e0>, <kernel.DependentProduct object at 0xbc73f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc7560>, <kernel.DependentProduct object at 0xbc70e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc73f8>, <kernel.DependentProduct object at 0xbc7560>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc70e0>, <kernel.DependentProduct object at 0xbc73f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc7560>, <kernel.DependentProduct object at 0xbc70e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc73f8>, <kernel.DependentProduct object at 0xbc7560>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc70e0>, <kernel.DependentProduct object at 0xbc73f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc7560>, <kernel.DependentProduct object at 0xbc70e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc73f8>, <kernel.DependentProduct object at 0xbc7560>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc70e0>, <kernel.DependentProduct object at 0xbc73f8>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc7e18>, <kernel.DependentProduct object at 0xbc7560>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc70e0>, <kernel.DependentProduct object at 0xbc7e18>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oand__num
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_un1837492267222099188nd_num:(num->(num->option_num))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc7560>, <kernel.DependentProduct object at 0xbc70e0>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oand__num__rel
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_un5425074673868309765um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc7e18>, <kernel.DependentProduct object at 0xbc7fc8>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oxor__num
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_un6178654185764691216or_num:(num->(num->option_num))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc70e0>, <kernel.DependentProduct object at 0xbc9050>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oxor__num__rel
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_un3595099601533988841um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc70e0>, <kernel.DependentProduct object at 0xbc90e0>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_un7362597486090784418nd_num:(num->(num->option_num))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc7f38>, <kernel.DependentProduct object at 0xbc9200>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num__rel
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_un4731106466462545111um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc91b8>, <kernel.DependentProduct object at 0xbc9128>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_un2480387367778600638or_num:(num->(num->option_num))
% 0.40/0.63 FOF formula (<kernel.Constant object at 0xbc92d8>, <kernel.DependentProduct object at 0xbc9320>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num__rel
% 0.40/0.63 Using role type
% 0.40/0.63 Declaring bit_un2901131394128224187um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xbc7f38>, <kernel.DependentProduct object at 0xbc9170>) of role type named sy_c_Code__Numeral_Obit__cut__integer
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring code_bit_cut_integer:(code_integer->produc6271795597528267376eger_o)
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xbc9128>, <kernel.DependentProduct object at 0xbc92d8>) of role type named sy_c_Code__Numeral_Odivmod__abs
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring code_divmod_abs:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xbc9290>, <kernel.DependentProduct object at 0xbc9170>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xbc9488>, <kernel.DependentProduct object at 0xbc93f8>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring code_int_of_integer:(code_integer->int)
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xbc9170>, <kernel.DependentProduct object at 0xbc9560>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring code_integer_of_int:(int->code_integer)
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xbc9440>, <kernel.DependentProduct object at 0xbc9518>) of role type named sy_c_Code__Numeral_Ointeger__of__nat
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring code_integer_of_nat:(nat->code_integer)
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xbc9290>, <kernel.DependentProduct object at 0xbc95a8>) of role type named sy_c_Code__Numeral_Ointeger__of__num
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring code_integer_of_num:(num->code_integer)
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xbc93f8>, <kernel.DependentProduct object at 0xbc95f0>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring code_nat_of_integer:(code_integer->nat)
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xbc94d0>, <kernel.DependentProduct object at 0xbc9680>) of role type named sy_c_Code__Numeral_Onegative
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring code_negative:(num->code_integer)
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xbc95a8>, <kernel.DependentProduct object at 0xbc93f8>) of role type named sy_c_Code__Numeral_Onum__of__integer
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring code_num_of_integer:(code_integer->num)
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xbc9560>, <kernel.DependentProduct object at 0xbc9710>) of role type named sy_c_Code__Numeral_Opositive
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring code_positive:(num->code_integer)
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xbc9680>, <kernel.DependentProduct object at 0xbc9758>) of role type named sy_c_Code__Target__Int_Onegative
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring code_Target_negative:(num->int)
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xbc94d0>, <kernel.DependentProduct object at 0xbc97a0>) of role type named sy_c_Code__Target__Int_Opositive
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring code_Target_positive:(num->int)
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xbc95f0>, <kernel.DependentProduct object at 0xbc9560>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Real__Oreal
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring comple4887499456419720421f_real:(set_real->real)
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xbc9170>, <kernel.DependentProduct object at 0xbc9830>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Int__Oint
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring complete_Sup_Sup_int:(set_int->int)
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xbc95f0>, <kernel.DependentProduct object at 0xbc9878>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Real__Oreal
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring comple1385675409528146559p_real:(set_real->real)
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xbc9710>, <kernel.DependentProduct object at 0xbc9908>) of role type named sy_c_Complex_OArg
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring arg:(complex->real)
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xbc9560>, <kernel.DependentProduct object at 0xbc9950>) of role type named sy_c_Complex_Ocis
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring cis:(real->complex)
% 0.45/0.63 FOF formula (<kernel.Constant object at 0xbc94d0>, <kernel.DependentProduct object at 0xbc9998>) of role type named sy_c_Complex_Ocnj
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring cnj:(complex->complex)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc9638>, <kernel.DependentProduct object at 0xbc94d0>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring complex2:(real->(real->complex))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc9a28>, <kernel.DependentProduct object at 0xbc9ab8>) of role type named sy_c_Complex_Ocomplex_OIm
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring im:(complex->real)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc94d0>, <kernel.DependentProduct object at 0xbc9a70>) of role type named sy_c_Complex_Ocomplex_ORe
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring re:(complex->real)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc95f0>, <kernel.DependentProduct object at 0xbc9950>) of role type named sy_c_Complex_Ocsqrt
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring csqrt:(complex->complex)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc9878>, <kernel.Constant object at 0xbc9ab8>) of role type named sy_c_Complex_Oimaginary__unit
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring imaginary_unit:complex
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc9998>, <kernel.DependentProduct object at 0xbc94d0>) of role type named sy_c_Complex_Orcis
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring rcis:(real->(real->complex))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc9950>, <kernel.DependentProduct object at 0xbc9b48>) of role type named sy_c_Deriv_Odifferentiable_001t__Real__Oreal_001t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring differ6690327859849518006l_real:((real->real)->(filter_real->Prop))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc94d0>, <kernel.DependentProduct object at 0xbc9a70>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc9c68>, <kernel.DependentProduct object at 0xbc9cf8>) of role type named sy_c_Divides_Oadjust__div
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring adjust_div:(product_prod_int_int->int)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc9a28>, <kernel.DependentProduct object at 0xbc94d0>) of role type named sy_c_Divides_Oadjust__mod
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring adjust_mod:(int->(int->int))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc9cb0>, <kernel.DependentProduct object at 0xbc9c68>) of role type named sy_c_Divides_Odivmod__nat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc9638>, <kernel.DependentProduct object at 0xbc9cb0>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc9a28>, <kernel.DependentProduct object at 0xbc9a70>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Code____Numeral__Ointeger
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring unique5706413561485394159nteger:(produc8923325533196201883nteger->Prop)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc9638>, <kernel.DependentProduct object at 0xbc9dd0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc9a70>, <kernel.DependentProduct object at 0xbc9e60>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc9dd0>, <kernel.DependentProduct object at 0xbc9a70>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc9e60>, <kernel.DependentProduct object at 0xbc9dd0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc9a70>, <kernel.DependentProduct object at 0xbc9ea8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc9a70>, <kernel.DependentProduct object at 0xd45170>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring unique4921790084139445826nteger:(num->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc9a70>, <kernel.DependentProduct object at 0xd45200>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xbc9ef0>, <kernel.DependentProduct object at 0xd45248>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45200>, <kernel.DependentProduct object at 0xd452d8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Code____Numeral__Ointeger
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring comm_s8582702949713902594nteger:(code_integer->(nat->code_integer))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45170>, <kernel.DependentProduct object at 0xd45368>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Complex__Ocomplex
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring comm_s2602460028002588243omplex:(complex->(nat->complex))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45128>, <kernel.DependentProduct object at 0xd453f8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Int__Oint
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring comm_s4660882817536571857er_int:(int->(nat->int))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd450e0>, <kernel.DependentProduct object at 0xd45128>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Nat__Onat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring comm_s4663373288045622133er_nat:(nat->(nat->nat))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd453f8>, <kernel.DependentProduct object at 0xd450e0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Rat__Orat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring comm_s4028243227959126397er_rat:(rat->(nat->rat))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45128>, <kernel.DependentProduct object at 0xd453f8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring comm_s7457072308508201937r_real:(real->(nat->real))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd450e0>, <kernel.DependentProduct object at 0xd45200>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Code____Numeral__Ointeger
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring semiri3624122377584611663nteger:(nat->code_integer)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd453f8>, <kernel.DependentProduct object at 0xd45710>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45200>, <kernel.DependentProduct object at 0xd457a0>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Int__Oint
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring semiri1406184849735516958ct_int:(nat->int)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45710>, <kernel.DependentProduct object at 0xd45830>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd457a0>, <kernel.DependentProduct object at 0xd458c0>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Rat__Orat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring semiri773545260158071498ct_rat:(nat->rat)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45830>, <kernel.DependentProduct object at 0xd45950>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd458c0>, <kernel.DependentProduct object at 0xd459e0>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Complex__Ocomplex
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring invers8013647133539491842omplex:(complex->complex)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45170>, <kernel.DependentProduct object at 0xd45a70>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring inverse_inverse_rat:(rat->rat)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45908>, <kernel.DependentProduct object at 0xd45ab8>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring inverse_inverse_real:(real->real)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45998>, <kernel.Constant object at 0xd45ab8>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring at_bot_real:filter_real
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45a70>, <kernel.Constant object at 0xd45ab8>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring at_top_nat:filter_nat
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45950>, <kernel.Constant object at 0xd45ab8>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring at_top_real:filter_real
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd458c0>, <kernel.DependentProduct object at 0xd45a70>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45950>, <kernel.DependentProduct object at 0xd45b00>) of role type named sy_c_Filter_Oeventually_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring eventu1038000079068216329at_nat:((product_prod_nat_nat->Prop)->(filter1242075044329608583at_nat->Prop))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd459e0>, <kernel.DependentProduct object at 0xd45a70>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45b00>, <kernel.DependentProduct object at 0xd45ab8>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45d40>, <kernel.DependentProduct object at 0xd458c0>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45dd0>, <kernel.DependentProduct object at 0xd45cf8>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45e18>, <kernel.DependentProduct object at 0xd45b90>) of role type named sy_c_Filter_Ofiltermap_001t__Real__Oreal_001t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring filtermap_real_real:((real->real)->(filter_real->filter_real))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45d40>, <kernel.DependentProduct object at 0xd45dd0>) of role type named sy_c_Filter_Oprod__filter_001t__Nat__Onat_001t__Nat__Onat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring prod_filter_nat_nat:(filter_nat->(filter_nat->filter1242075044329608583at_nat))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45290>, <kernel.DependentProduct object at 0xd45e60>) of role type named sy_c_Finite__Set_Ocard_001_Eo
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring finite_card_o:(set_o->nat)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0xd45d88>, <kernel.DependentProduct object at 0xd45d40>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite_card_complex:(set_complex->nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd45e60>, <kernel.DependentProduct object at 0xd45ef0>) of role type named sy_c_Finite__Set_Ocard_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite_card_int:(set_int->nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd45cf8>, <kernel.DependentProduct object at 0xd45f38>) of role type named sy_c_Finite__Set_Ocard_001t__List__Olist_It__Nat__Onat_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite_card_list_nat:(set_list_nat->nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd45290>, <kernel.DependentProduct object at 0xd45f80>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite_card_nat:(set_nat->nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd45d40>, <kernel.DependentProduct object at 0xd45fc8>) of role type named sy_c_Finite__Set_Ocard_001t__String__Ochar
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite_card_char:(set_char->nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd45b00>, <kernel.DependentProduct object at 0xd47050>) of role type named sy_c_Finite__Set_Ofinite_001_Eo
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite_finite_o:(set_o->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd45290>, <kernel.DependentProduct object at 0xd47050>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd45fc8>, <kernel.DependentProduct object at 0xd470e0>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite_finite_int:(set_int->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd45b00>, <kernel.DependentProduct object at 0xd47128>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_I_Eo_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite_finite_list_o:(set_list_o->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd45b00>, <kernel.DependentProduct object at 0xd47170>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Complex__Ocomplex_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite8712137658972009173omplex:(set_list_complex->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd45b00>, <kernel.DependentProduct object at 0xd47200>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Int__Oint_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite3922522038869484883st_int:(set_list_int->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd47050>, <kernel.DependentProduct object at 0xd47290>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Nat__Onat_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite8100373058378681591st_nat:(set_list_nat->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd47200>, <kernel.DependentProduct object at 0xd47320>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite3004134309566078307T_VEBT:(set_list_VEBT_VEBT->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd45f38>, <kernel.DependentProduct object at 0xd473b0>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite_finite_nat:(set_nat->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd47290>, <kernel.DependentProduct object at 0xd473f8>) of role type named sy_c_Finite__Set_Ofinite_001t__Num__Onum
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite_finite_num:(set_num->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd47098>, <kernel.DependentProduct object at 0xd47440>) of role type named sy_c_Finite__Set_Ofinite_001t__Rat__Orat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite_finite_rat:(set_rat->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd47200>, <kernel.DependentProduct object at 0xd47488>) of role type named sy_c_Finite__Set_Ofinite_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite_finite_real:(set_real->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd47098>, <kernel.DependentProduct object at 0xd474d0>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite6551019134538273531omplex:(set_set_complex->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd47488>, <kernel.DependentProduct object at 0xd47560>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Int__Oint_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite6197958912794628473et_int:(set_set_int->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd474d0>, <kernel.DependentProduct object at 0xd475f0>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite1152437895449049373et_nat:(set_set_nat->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd47560>, <kernel.DependentProduct object at 0xd47680>) of role type named sy_c_Finite__Set_Ofinite_001t__VEBT____Definitions__OVEBT
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring finite5795047828879050333T_VEBT:(set_VEBT_VEBT->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd475f0>, <kernel.DependentProduct object at 0xd474d0>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd477a0>, <kernel.DependentProduct object at 0xd47638>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd477e8>, <kernel.DependentProduct object at 0xd47560>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd477a0>, <kernel.DependentProduct object at 0xd477e8>) of role type named sy_c_Fun_Ocomp_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring comp_C8797469213163452608nteger:(((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->(code_integer->code_integer))->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd47560>, <kernel.DependentProduct object at 0xd477a0>) of role type named sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring comp_C1593894019821074884nteger:((code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->code_integer)->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd477e8>, <kernel.DependentProduct object at 0xd47950>) of role type named sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring comp_C3531382070062128313er_num:((code_integer->code_integer)->((num->code_integer)->(num->code_integer)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd474d0>, <kernel.DependentProduct object at 0xd47560>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Int__Oint_001t__Num__Onum
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring comp_int_int_num:((int->int)->((num->int)->(num->int)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd47ab8>, <kernel.DependentProduct object at 0xd47b00>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring comp_nat_nat_nat:((nat->nat)->((nat->nat)->(nat->nat)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd47b48>, <kernel.DependentProduct object at 0xd477a0>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Real__Oreal_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring comp_nat_real_nat:((nat->real)->((nat->nat)->(nat->real)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xd47b90>, <kernel.DependentProduct object at 0xd47638>) of role type named sy_c_Fun_Oid_001_Eo
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring id_o:(Prop->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd471b8>, <kernel.DependentProduct object at 0xd477e8>) of role type named sy_c_Fun_Oid_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring id_nat:(nat->nat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd479e0>, <kernel.DependentProduct object at 0xd477e8>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring inj_on_nat_nat:((nat->nat)->(set_nat->Prop))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd471b8>, <kernel.DependentProduct object at 0xd47b00>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__String__Ochar
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring inj_on_nat_char:((nat->char)->(set_nat->Prop))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd477e8>, <kernel.DependentProduct object at 0xd47b90>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring inj_on_real_real:((real->real)->(set_real->Prop))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd471b8>, <kernel.DependentProduct object at 0xd47b48>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring map_fu4960017516451851995nt_int:((int->product_prod_nat_nat)->(((product_prod_nat_nat->product_prod_nat_nat)->(int->int))->((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(int->(int->int)))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd47b90>, <kernel.DependentProduct object at 0xd47d40>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring map_fu3667384564859982768at_int:((int->product_prod_nat_nat)->((product_prod_nat_nat->int)->((product_prod_nat_nat->product_prod_nat_nat)->(int->int))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd47b48>, <kernel.DependentProduct object at 0xd47d88>) of role type named sy_c_Fun_Omap__fun_001t__Rat__Orat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Rat__Orat_Mt__Rat__Orat_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring map_fu4333342158222067775at_rat:((rat->product_prod_int_int)->(((product_prod_int_int->product_prod_int_int)->(rat->rat))->((product_prod_int_int->(product_prod_int_int->product_prod_int_int))->(rat->(rat->rat)))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd47d40>, <kernel.DependentProduct object at 0xd47b48>) 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
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring map_fu898904425404107465nt_o_o:((rat->product_prod_int_int)->((Prop->Prop)->((product_prod_int_int->Prop)->(rat->Prop))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd47d88>, <kernel.DependentProduct object at 0xd47f80>) 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
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring map_fu5673905371560938248nt_rat:((rat->product_prod_int_int)->((product_prod_int_int->rat)->((product_prod_int_int->product_prod_int_int)->(rat->rat))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd47b48>, <kernel.DependentProduct object at 0xd47d40>) 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
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring map_fu1532550112467129777l_real:((real->(nat->rat))->((((nat->rat)->(nat->rat))->(real->real))->(((nat->rat)->((nat->rat)->(nat->rat)))->(real->(real->real)))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd47f80>, <kernel.DependentProduct object at 0xd47878>) 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
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring map_fu7146612038024189824t_real:((real->(nat->rat))->(((nat->rat)->real)->(((nat->rat)->(nat->rat))->(real->real))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd47d40>, <kernel.DependentProduct object at 0xd47fc8>) of role type named sy_c_Fun_Ostrict__mono__on_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring strict1292158309912662752at_nat:((nat->nat)->(set_nat->Prop))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd47878>, <kernel.DependentProduct object at 0xd4b050>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd47f38>, <kernel.DependentProduct object at 0xd4b248>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring gcd_Gcd_int:(set_int->int)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd47fc8>, <kernel.DependentProduct object at 0xd4b200>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring gcd_Gcd_nat:(set_nat->nat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd47f38>, <kernel.DependentProduct object at 0xd4b098>) of role type named sy_c_GCD_Obezw
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring bezw:(nat->(nat->product_prod_int_int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd47878>, <kernel.DependentProduct object at 0xd4b128>) of role type named sy_c_GCD_Obezw__rel
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring bezw_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd47878>, <kernel.DependentProduct object at 0xd4b0e0>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring gcd_gcd_int:(int->(int->int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b290>, <kernel.DependentProduct object at 0xd4b050>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring gcd_gcd_nat:(nat->(nat->nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b320>, <kernel.DependentProduct object at 0xd4b248>) of role type named sy_c_GCD_Ogcd__nat__rel
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring gcd_nat_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b170>, <kernel.DependentProduct object at 0xd4b1b8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b0e0>, <kernel.DependentProduct object at 0xd4b3f8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring abs_abs_complex:(complex->complex)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b3b0>, <kernel.DependentProduct object at 0xd4b440>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring abs_abs_int:(int->int)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b248>, <kernel.DependentProduct object at 0xd4b488>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring abs_abs_rat:(rat->rat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b1b8>, <kernel.DependentProduct object at 0xd4b4d0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring abs_abs_real:(real->real)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b248>, <kernel.DependentProduct object at 0xd4b1b8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring minus_8373710615458151222nteger:(code_integer->(code_integer->code_integer))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b518>, <kernel.DependentProduct object at 0xd4b4d0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b248>, <kernel.DependentProduct object at 0xd4b518>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Extended____Nat__Oenat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring minus_3235023915231533773d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b5f0>, <kernel.DependentProduct object at 0xd4b4d0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring minus_minus_int:(int->(int->int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b3f8>, <kernel.DependentProduct object at 0xd4b248>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b6c8>, <kernel.DependentProduct object at 0xd4b5f0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring minus_minus_rat:(rat->(rat->rat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b1b8>, <kernel.DependentProduct object at 0xd4b3f8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring minus_minus_real:(real->(real->real))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b6c8>, <kernel.DependentProduct object at 0xd4b1b8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b518>, <kernel.DependentProduct object at 0xd4b3f8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b5a8>, <kernel.DependentProduct object at 0xd4b6c8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b878>, <kernel.DependentProduct object at 0xd4b518>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b5f0>, <kernel.Constant object at 0xd4b518>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring one_one_Code_integer:code_integer
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b6c8>, <kernel.Constant object at 0xd4b518>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring one_one_complex:complex
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b5f0>, <kernel.Constant object at 0xd4b3f8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b950>, <kernel.Constant object at 0xd4b3f8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring one_one_int:int
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b1b8>, <kernel.Constant object at 0xd4b3f8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring one_one_nat:nat
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b998>, <kernel.Constant object at 0xd4b3f8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring one_one_rat:rat
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b9e0>, <kernel.Constant object at 0xd4b3f8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring one_one_real:real
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4b998>, <kernel.DependentProduct object at 0xd4b9e0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xd4bb48>, <kernel.DependentProduct object at 0xd4b3f8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd4b998>, <kernel.DependentProduct object at 0xd4bb48>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd4bc20>, <kernel.DependentProduct object at 0xd4b3f8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring plus_plus_int:(int->(int->int))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd4ba28>, <kernel.DependentProduct object at 0xd4b998>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd4bcf8>, <kernel.DependentProduct object at 0xd4bc20>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring plus_plus_num:(num->(num->num))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd4b9e0>, <kernel.DependentProduct object at 0xd4ba28>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd4bbd8>, <kernel.DependentProduct object at 0xd4bcf8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring plus_plus_real:(real->(real->real))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd4bb48>, <kernel.DependentProduct object at 0xd4b3f8>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd4bc20>, <kernel.DependentProduct object at 0xd4b998>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring sgn_sgn_complex:(complex->complex)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd4ba28>, <kernel.DependentProduct object at 0xd4bea8>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring sgn_sgn_int:(int->int)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd4bcf8>, <kernel.DependentProduct object at 0xd4bef0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring sgn_sgn_rat:(rat->rat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd4b3f8>, <kernel.DependentProduct object at 0xd4bf38>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring sgn_sgn_real:(real->real)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd4bcf8>, <kernel.DependentProduct object at 0xd4b3f8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd4bf80>, <kernel.DependentProduct object at 0xd4bf38>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring times_times_complex:(complex->(complex->complex))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd4bcf8>, <kernel.DependentProduct object at 0xd4b3f8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd4bc20>, <kernel.DependentProduct object at 0xd4bfc8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring times_times_int:(int->(int->int))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd4bf38>, <kernel.DependentProduct object at 0xd511b8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring times_times_nat:(nat->(nat->nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd4bc20>, <kernel.DependentProduct object at 0xd51200>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring times_times_num:(num->(num->num))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd4bfc8>, <kernel.DependentProduct object at 0xd51248>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring times_times_rat:(rat->(rat->rat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd4bc20>, <kernel.DependentProduct object at 0xd510e0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring times_times_real:(real->(real->real))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd511b8>, <kernel.DependentProduct object at 0xd51200>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51290>, <kernel.DependentProduct object at 0xd51320>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd510e0>, <kernel.DependentProduct object at 0xd513b0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring uminus_uminus_int:(int->int)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51320>, <kernel.DependentProduct object at 0xd513f8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring uminus_uminus_rat:(rat->rat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51200>, <kernel.DependentProduct object at 0xd51440>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring uminus_uminus_real:(real->real)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51320>, <kernel.DependentProduct object at 0xd51488>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Int__Oint_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring uminus1532241313380277803et_int:(set_int->set_int)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51440>, <kernel.DependentProduct object at 0xd51518>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51488>, <kernel.DependentProduct object at 0xd515a8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Real__Oreal_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring uminus612125837232591019t_real:(set_real->set_real)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51518>, <kernel.Constant object at 0xd514d0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring zero_z3403309356797280102nteger:code_integer
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51560>, <kernel.Constant object at 0xd514d0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring zero_zero_complex:complex
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51518>, <kernel.Constant object at 0xd51290>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51638>, <kernel.Constant object at 0xd51290>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring zero_zero_int:int
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd516c8>, <kernel.Constant object at 0xd51290>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring zero_zero_nat:nat
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51710>, <kernel.Constant object at 0xd51290>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring zero_zero_rat:rat
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51758>, <kernel.Constant object at 0xd51290>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring zero_zero_real:real
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51710>, <kernel.DependentProduct object at 0xd517a0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring groups6621422865394947399nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51290>, <kernel.DependentProduct object at 0xd51758>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd517a0>, <kernel.DependentProduct object at 0xd51710>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51758>, <kernel.DependentProduct object at 0xd51290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51710>, <kernel.DependentProduct object at 0xd517a0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring groups5058264527183730370ex_rat:((complex->rat)->(set_complex->rat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51290>, <kernel.DependentProduct object at 0xd51758>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd517a0>, <kernel.DependentProduct object at 0xd51710>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring groups7873554091576472773nteger:((int->code_integer)->(set_int->code_integer))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51758>, <kernel.DependentProduct object at 0xd51290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring groups3049146728041665814omplex:((int->complex)->(set_int->complex))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51710>, <kernel.DependentProduct object at 0xd517a0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51290>, <kernel.DependentProduct object at 0xd51758>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd517a0>, <kernel.DependentProduct object at 0xd51710>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Rat__Orat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring groups3906332499630173760nt_rat:((int->rat)->(set_int->rat))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51758>, <kernel.DependentProduct object at 0xd51290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51710>, <kernel.DependentProduct object at 0xd517a0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring groups7501900531339628137nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xd51290>, <kernel.DependentProduct object at 0xd51758>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd517a0>, <kernel.DependentProduct object at 0xd515f0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd517a0>, <kernel.DependentProduct object at 0xd53098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd517a0>, <kernel.DependentProduct object at 0xd53128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Rat__Orat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups2906978787729119204at_rat:((nat->rat)->(set_nat->rat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd51290>, <kernel.DependentProduct object at 0xd53170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd53200>, <kernel.DependentProduct object at 0xd530e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Complex__Ocomplex
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups6381953495645901045omplex:((product_prod_nat_nat->complex)->(set_Pr1261947904930325089at_nat->complex))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd53248>, <kernel.DependentProduct object at 0xd53170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups977919841031483927at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd532d8>, <kernel.DependentProduct object at 0xd530e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups4567486121110086003t_real:((product_prod_nat_nat->real)->(set_Pr1261947904930325089at_nat->real))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd531b8>, <kernel.DependentProduct object at 0xd53200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups7713935264441627589nteger:((real->code_integer)->(set_real->code_integer))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd532d8>, <kernel.DependentProduct object at 0xd53248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups5754745047067104278omplex:((real->complex)->(set_real->complex))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd53200>, <kernel.DependentProduct object at 0xd531b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups1932886352136224148al_int:((real->int)->(set_real->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd53248>, <kernel.DependentProduct object at 0xd532d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd531b8>, <kernel.DependentProduct object at 0xd53200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Rat__Orat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups1300246762558778688al_rat:((real->rat)->(set_real->rat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd532d8>, <kernel.DependentProduct object at 0xd53248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd53200>, <kernel.DependentProduct object at 0xd531b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups8682486955453173170nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd53248>, <kernel.DependentProduct object at 0xd532d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups3708469109370488835omplex:((complex->complex)->(set_complex->complex))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd531b8>, <kernel.DependentProduct object at 0xd53200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups858564598930262913ex_int:((complex->int)->(set_complex->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd532d8>, <kernel.DependentProduct object at 0xd53248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups861055069439313189ex_nat:((complex->nat)->(set_complex->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd53200>, <kernel.DependentProduct object at 0xd531b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups225925009352817453ex_rat:((complex->rat)->(set_complex->rat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd53248>, <kernel.DependentProduct object at 0xd532d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups766887009212190081x_real:((complex->real)->(set_complex->real))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd531b8>, <kernel.DependentProduct object at 0xd53200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups3827104343326376752nteger:((int->code_integer)->(set_int->code_integer))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd532d8>, <kernel.DependentProduct object at 0xd53248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Complex__Ocomplex
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups7440179247065528705omplex:((int->complex)->(set_int->complex))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd53200>, <kernel.DependentProduct object at 0xd531b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd53248>, <kernel.DependentProduct object at 0xd532d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups1707563613775114915nt_nat:((int->nat)->(set_int->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd531b8>, <kernel.DependentProduct object at 0xd53200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Rat__Orat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups1072433553688619179nt_rat:((int->rat)->(set_int->rat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd532d8>, <kernel.DependentProduct object at 0xd53248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups2316167850115554303t_real:((int->real)->(set_int->real))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd53200>, <kernel.DependentProduct object at 0xd531b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups3455450783089532116nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd53248>, <kernel.DependentProduct object at 0xd532d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups6464643781859351333omplex:((nat->complex)->(set_nat->complex))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd531b8>, <kernel.DependentProduct object at 0xd53200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd532d8>, <kernel.DependentProduct object at 0xd53170>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd532d8>, <kernel.DependentProduct object at 0xd56098>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Rat__Orat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups73079841787564623at_rat:((nat->rat)->(set_nat->rat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd532d8>, <kernel.DependentProduct object at 0xd56128>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups129246275422532515t_real:((nat->real)->(set_nat->real))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd531b8>, <kernel.DependentProduct object at 0xd560e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Complex__Ocomplex
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups8110221916422527690omplex:((product_prod_nat_nat->complex)->(set_Pr1261947904930325089at_nat->complex))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd56248>, <kernel.DependentProduct object at 0xd56128>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups6036352826371341000t_real:((product_prod_nat_nat->real)->(set_Pr1261947904930325089at_nat->real))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd56170>, <kernel.DependentProduct object at 0xd561b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups6225526099057966256nteger:((real->code_integer)->(set_real->code_integer))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd562d8>, <kernel.DependentProduct object at 0xd56248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups713298508707869441omplex:((real->complex)->(set_real->complex))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd56368>, <kernel.DependentProduct object at 0xd563f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups4694064378042380927al_int:((real->int)->(set_real->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd562d8>, <kernel.DependentProduct object at 0xd56170>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups4696554848551431203al_nat:((real->nat)->(set_real->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd563f8>, <kernel.DependentProduct object at 0xd56368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Rat__Orat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups4061424788464935467al_rat:((real->rat)->(set_real->rat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd56170>, <kernel.DependentProduct object at 0xd562d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups1681761925125756287l_real:((real->real)->(set_real->real))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd56368>, <kernel.DependentProduct object at 0xd56170>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring groups9116527308978886569_o_int:((Prop->int)->(int->(list_o->int)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0xd562d8>, <kernel.DependentProduct object at 0xd56830>) of role type named sy_c_Groups__List_Omonoid__add__class_Osum__list_001t__Nat__Onat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring groups4561878855575611511st_nat:(list_nat->nat)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56320>, <kernel.DependentProduct object at 0xd56878>) of role type named sy_c_HOL_OThe_001t__Int__Oint
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring the_int:((int->Prop)->int)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56758>, <kernel.DependentProduct object at 0xd568c0>) of role type named sy_c_HOL_OThe_001t__Real__Oreal
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring the_real:((real->Prop)->real)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56368>, <kernel.DependentProduct object at 0xd56908>) of role type named sy_c_If_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring if_nat_rat:(Prop->((nat->rat)->((nat->rat)->(nat->rat))))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56830>, <kernel.DependentProduct object at 0xd56908>) of role type named sy_c_If_001t__Code____Numeral__Ointeger
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring if_Code_integer:(Prop->(code_integer->(code_integer->code_integer)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56680>, <kernel.DependentProduct object at 0xd568c0>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56a28>, <kernel.DependentProduct object at 0xd56680>) of role type named sy_c_If_001t__Extended____Nat__Oenat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring if_Extended_enat:(Prop->(extended_enat->(extended_enat->extended_enat)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd569e0>, <kernel.DependentProduct object at 0xd56680>) of role type named sy_c_If_001t__Int__Oint
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring if_int:(Prop->(int->(int->int)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56710>, <kernel.DependentProduct object at 0xd56680>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56ab8>, <kernel.DependentProduct object at 0xd56680>) of role type named sy_c_If_001t__List__Olist_It__Nat__Onat_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring if_list_nat:(Prop->(list_nat->(list_nat->list_nat)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56b00>, <kernel.DependentProduct object at 0xd56680>) of role type named sy_c_If_001t__Nat__Onat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56b48>, <kernel.DependentProduct object at 0xd56680>) of role type named sy_c_If_001t__Num__Onum
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring if_num:(Prop->(num->(num->num)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56b90>, <kernel.DependentProduct object at 0xd56680>) of role type named sy_c_If_001t__Option__Ooption_It__Nat__Onat_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring if_option_nat:(Prop->(option_nat->(option_nat->option_nat)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56bd8>, <kernel.DependentProduct object at 0xd56680>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56b90>, <kernel.DependentProduct object at 0xd56170>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring if_Pro5737122678794959658eger_o:(Prop->(produc6271795597528267376eger_o->(produc6271795597528267376eger_o->produc6271795597528267376eger_o)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56680>, <kernel.DependentProduct object at 0xd56830>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56170>, <kernel.DependentProduct object at 0xd56908>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56830>, <kernel.DependentProduct object at 0xd56bd8>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56d88>, <kernel.DependentProduct object at 0xd56bd8>) of role type named sy_c_If_001t__Rat__Orat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56e18>, <kernel.DependentProduct object at 0xd56bd8>) of role type named sy_c_If_001t__Real__Oreal
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring if_real:(Prop->(real->(real->real)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56ef0>, <kernel.DependentProduct object at 0xd56bd8>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56f38>, <kernel.DependentProduct object at 0xd56bd8>) of role type named sy_c_If_001t__VEBT____Definitions__OVEBT
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring if_VEBT_VEBT:(Prop->(vEBT_VEBT->(vEBT_VEBT->vEBT_VEBT)))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56ef0>, <kernel.DependentProduct object at 0xd56f38>) of role type named sy_c_Infinite__Set_Owellorder__class_Oenumerate_001t__Nat__Onat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring infini8530281810654367211te_nat:(set_nat->(nat->nat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56fc8>, <kernel.DependentProduct object at 0xd56f80>) of role type named sy_c_Int_OAbs__Integ
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring abs_Integ:(product_prod_nat_nat->int)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56d88>, <kernel.DependentProduct object at 0xd58050>) of role type named sy_c_Int_ORep__Integ
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring rep_Integ:(int->product_prod_nat_nat)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56758>, <kernel.DependentProduct object at 0xd58098>) of role type named sy_c_Int_Oint__ge__less__than
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring int_ge_less_than:(int->set_Pr958786334691620121nt_int)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56e18>, <kernel.DependentProduct object at 0xd58050>) of role type named sy_c_Int_Oint__ge__less__than2
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring int_ge_less_than2:(int->set_Pr958786334691620121nt_int)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56f80>, <kernel.DependentProduct object at 0xd58128>) of role type named sy_c_Int_Ointrel
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring intrel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56ef0>, <kernel.DependentProduct object at 0xd580e0>) of role type named sy_c_Int_Onat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring nat2:(int->nat)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56758>, <kernel.DependentProduct object at 0xd58170>) of role type named sy_c_Int_Opcr__int
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring pcr_int:(product_prod_nat_nat->(int->Prop))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56f80>, <kernel.DependentProduct object at 0xd58200>) of role type named sy_c_Int_Opower__int_001t__Real__Oreal
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring power_int_real:(real->(int->real))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd56758>, <kernel.Constant object at 0xd58200>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Real__Oreal
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring ring_1_Ints_real:set_real
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd58098>, <kernel.DependentProduct object at 0xd58170>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd58128>, <kernel.DependentProduct object at 0xd58320>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0xd58200>, <kernel.DependentProduct object at 0xd583b0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring ring_1_of_int_int:(int->int)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58320>, <kernel.DependentProduct object at 0xd583f8>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Rat__Orat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring ring_1_of_int_rat:(int->rat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58170>, <kernel.DependentProduct object at 0xd58440>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring ring_1_of_int_real:(int->real)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58320>, <kernel.DependentProduct object at 0xd58170>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Extended____Nat__Oenat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring inf_in1870772243966228564d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58488>, <kernel.DependentProduct object at 0xd58440>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring inf_inf_nat:(nat->(nat->nat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58320>, <kernel.DependentProduct object at 0xd58560>) of role type named sy_c_Lattices_Osemilattice__neutr__order_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring semila1623282765462674594er_nat:((nat->(nat->nat))->(nat->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58440>, <kernel.DependentProduct object at 0xd58320>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Extended____Nat__Oenat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring sup_su3973961784419623482d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58638>, <kernel.DependentProduct object at 0xd58560>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring sup_sup_nat:(nat->(nat->nat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd583f8>, <kernel.DependentProduct object at 0xd58440>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring sup_sup_set_nat:(set_nat->(set_nat->set_nat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58638>, <kernel.DependentProduct object at 0xd585f0>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58128>, <kernel.DependentProduct object at 0xd58560>) of role type named sy_c_Limits_OBfun_001t__Nat__Onat_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring bfun_nat_real:((nat->real)->(filter_nat->Prop))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd585f0>, <kernel.Constant object at 0xd58560>) of role type named sy_c_Limits_Oat__infinity_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring at_infinity_real:filter_real
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd580e0>, <kernel.DependentProduct object at 0xd585f0>) of role type named sy_c_List_Oappend_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring append_int:(list_int->(list_int->list_int))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd587a0>, <kernel.DependentProduct object at 0xd58560>) of role type named sy_c_List_Oappend_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring append_nat:(list_nat->(list_nat->list_nat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58878>, <kernel.DependentProduct object at 0xd580e0>) of role type named sy_c_List_Odrop_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring drop_nat:(nat->(list_nat->list_nat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd583f8>, <kernel.DependentProduct object at 0xd58998>) of role type named sy_c_List_Ofold_001t__Int__Oint_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring fold_int_int:((int->(int->int))->(list_int->(int->int)))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd587e8>, <kernel.DependentProduct object at 0xd58710>) of role type named sy_c_List_Ofold_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring fold_nat_nat:((nat->(nat->nat))->(list_nat->(nat->nat)))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd583f8>, <kernel.DependentProduct object at 0xd589e0>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58a28>, <kernel.DependentProduct object at 0xd58710>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring cons_int:(int->(list_int->list_int))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58878>, <kernel.DependentProduct object at 0xd583f8>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58998>, <kernel.Constant object at 0xd583f8>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring nil_int:list_int
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58710>, <kernel.Constant object at 0xd583f8>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring nil_nat:list_nat
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd588c0>, <kernel.DependentProduct object at 0xd58b90>) of role type named sy_c_List_Olist_Ohd_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring hd_nat:(list_nat->nat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58b00>, <kernel.DependentProduct object at 0xd58b90>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring map_nat_nat:((nat->nat)->(list_nat->list_nat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58998>, <kernel.DependentProduct object at 0xd58bd8>) of role type named sy_c_List_Olist_Oset_001_Eo
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring set_o2:(list_o->set_o)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd587a0>, <kernel.DependentProduct object at 0xd589e0>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring set_complex2:(list_complex->set_complex)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58710>, <kernel.DependentProduct object at 0xd58c68>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring set_int2:(list_int->set_int)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58b90>, <kernel.DependentProduct object at 0xd58cb0>) of role type named sy_c_List_Olist_Oset_001t__List__Olist_It__Nat__Onat_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring set_list_nat2:(list_list_nat->set_list_nat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58bd8>, <kernel.DependentProduct object at 0xd58cf8>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring set_nat2:(list_nat->set_nat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58b90>, <kernel.DependentProduct object at 0xd58bd8>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring set_Pr5648618587558075414at_nat:(list_P6011104703257516679at_nat->set_Pr1261947904930325089at_nat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58cb0>, <kernel.DependentProduct object at 0xd58dd0>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring set_real2:(list_real->set_real)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd587a0>, <kernel.DependentProduct object at 0xd58e18>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58710>, <kernel.DependentProduct object at 0xd58bd8>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd587e8>, <kernel.DependentProduct object at 0xd58710>) of role type named sy_c_List_Olist__update_001_Eo
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring list_update_o:(list_o->(nat->(Prop->list_o)))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58cf8>, <kernel.DependentProduct object at 0xd587a0>) of role type named sy_c_List_Olist__update_001t__Complex__Ocomplex
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring list_update_complex:(list_complex->(nat->(complex->list_complex)))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58ef0>, <kernel.DependentProduct object at 0xd58bd8>) of role type named sy_c_List_Olist__update_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring list_update_int:(list_int->(nat->(int->list_int)))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58e60>, <kernel.DependentProduct object at 0xd58cf8>) of role type named sy_c_List_Olist__update_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring list_update_nat:(list_nat->(nat->(nat->list_nat)))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58ef0>, <kernel.DependentProduct object at 0xd58e60>) of role type named sy_c_List_Olist__update_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring list_u6180841689913720943at_nat:(list_P6011104703257516679at_nat->(nat->(product_prod_nat_nat->list_P6011104703257516679at_nat)))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58bd8>, <kernel.DependentProduct object at 0x1162098>) of role type named sy_c_List_Olist__update_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring list_update_real:(list_real->(nat->(real->list_real)))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58ef0>, <kernel.DependentProduct object at 0x11620e0>) of role type named sy_c_List_Olist__update_001t__VEBT____Definitions__OVEBT
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring list_u1324408373059187874T_VEBT:(list_VEBT_VEBT->(nat->(vEBT_VEBT->list_VEBT_VEBT)))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58f38>, <kernel.DependentProduct object at 0x1162050>) of role type named sy_c_List_Onth_001_Eo
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring nth_o:(list_o->(nat->Prop))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58dd0>, <kernel.DependentProduct object at 0x1162170>) of role type named sy_c_List_Onth_001t__Complex__Ocomplex
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring nth_complex:(list_complex->(nat->complex))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd587a0>, <kernel.DependentProduct object at 0x1162128>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring nth_int:(list_int->(nat->int))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58ef0>, <kernel.DependentProduct object at 0x1162098>) of role type named sy_c_List_Onth_001t__List__Olist_It__Nat__Onat_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring nth_list_nat:(list_list_nat->(nat->list_nat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58ef0>, <kernel.DependentProduct object at 0x1162050>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring nth_nat:(list_nat->(nat->nat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0xd58ef0>, <kernel.DependentProduct object at 0x1162248>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring nth_Product_prod_o_o:(list_P4002435161011370285od_o_o->(nat->product_prod_o_o))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1162128>, <kernel.DependentProduct object at 0x11622d8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring nth_Pr1649062631805364268_o_int:(list_P3795440434834930179_o_int->(nat->product_prod_o_int))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1162248>, <kernel.DependentProduct object at 0x1162128>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring nth_Pr5826913651314560976_o_nat:(list_P6285523579766656935_o_nat->(nat->product_prod_o_nat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x11622d8>, <kernel.DependentProduct object at 0x1162248>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring nth_Pr6777367263587873994T_VEBT:(list_P7495141550334521929T_VEBT->(nat->produc2504756804600209347T_VEBT))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1162128>, <kernel.DependentProduct object at 0x11622d8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring nth_Pr112076138515278198_nat_o:(list_P7333126701944960589_nat_o->(nat->product_prod_nat_o))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x1162248>, <kernel.DependentProduct object at 0x1162128>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring nth_Pr7617993195940197384at_nat:(list_P6011104703257516679at_nat->(nat->product_prod_nat_nat))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x11622d8>, <kernel.DependentProduct object at 0x1162248>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring nth_Pr744662078594809490T_VEBT:(list_P5647936690300460905T_VEBT->(nat->produc8025551001238799321T_VEBT))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x1162128>, <kernel.DependentProduct object at 0x11622d8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x1162248>, <kernel.DependentProduct object at 0x1162128>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring nth_Pr6837108013167703752BT_int:(list_P4547456442757143711BT_int->(nat->produc4894624898956917775BT_int))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x11622d8>, <kernel.DependentProduct object at 0x1162248>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring nth_Pr1791586995822124652BT_nat:(list_P7037539587688870467BT_nat->(nat->produc9072475918466114483BT_nat))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x1162128>, <kernel.DependentProduct object at 0x11622d8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x1162290>, <kernel.DependentProduct object at 0x1162128>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring nth_real:(list_real->(nat->real))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x1162908>, <kernel.DependentProduct object at 0x1162248>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x1162878>, <kernel.DependentProduct object at 0x1162908>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x11629e0>, <kernel.DependentProduct object at 0x11622d8>) of role type named sy_c_List_Oproduct_001_Eo_001t__Int__Oint
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring product_o_int:(list_o->(list_int->list_P3795440434834930179_o_int))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x1162a28>, <kernel.DependentProduct object at 0x1162248>) of role type named sy_c_List_Oproduct_001_Eo_001t__Nat__Onat
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring product_o_nat:(list_o->(list_nat->list_P6285523579766656935_o_nat))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x1162290>, <kernel.DependentProduct object at 0x11629e0>) of role type named sy_c_List_Oproduct_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring product_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x1162128>, <kernel.DependentProduct object at 0x1162a28>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001_Eo
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring product_nat_o:(list_nat->(list_o->list_P7333126701944960589_nat_o))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x1162290>, <kernel.DependentProduct object at 0x1162128>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring produc7156399406898700509T_VEBT:(list_nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x1162ab8>, <kernel.DependentProduct object at 0x1162a28>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x1162290>, <kernel.DependentProduct object at 0x1162ab8>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring produc7292646706713671643BT_int:(list_VEBT_VEBT->(list_int->list_P4547456442757143711BT_int))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1162a28>, <kernel.DependentProduct object at 0x1162290>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring produc7295137177222721919BT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1162ab8>, <kernel.DependentProduct object at 0x1162a28>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1162cf8>, <kernel.DependentProduct object at 0x1162bd8>) of role type named sy_c_List_Oreplicate_001_Eo
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring replicate_o:(nat->(Prop->list_o))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1162d40>, <kernel.DependentProduct object at 0x1162ab8>) of role type named sy_c_List_Oreplicate_001t__Complex__Ocomplex
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring replicate_complex:(nat->(complex->list_complex))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1162290>, <kernel.DependentProduct object at 0x1162cf8>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring replicate_int:(nat->(int->list_int))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1162dd0>, <kernel.DependentProduct object at 0x1162d40>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1162290>, <kernel.DependentProduct object at 0x1162dd0>) of role type named sy_c_List_Oreplicate_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring replic4235873036481779905at_nat:(nat->(product_prod_nat_nat->list_P6011104703257516679at_nat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1162bd8>, <kernel.DependentProduct object at 0x1162d40>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring replicate_real:(nat->(real->list_real))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1162a28>, <kernel.DependentProduct object at 0x1162290>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1162f38>, <kernel.DependentProduct object at 0x1162b00>) of role type named sy_c_List_Osorted__wrt_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring sorted_wrt_int:((int->(int->Prop))->(list_int->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1162290>, <kernel.DependentProduct object at 0x1162fc8>) of role type named sy_c_List_Osorted__wrt_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring sorted_wrt_nat:((nat->(nat->Prop))->(list_nat->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1162998>, <kernel.DependentProduct object at 0x1162a28>) of role type named sy_c_List_Otake_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring take_nat:(nat->(list_nat->list_nat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1162bd8>, <kernel.DependentProduct object at 0x1162a28>) of role type named sy_c_List_Oupt
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring upt:(nat->(nat->list_nat))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1162998>, <kernel.DependentProduct object at 0x1162cf8>) of role type named sy_c_List_Oupto
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring upto:(int->(int->list_int))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1162a28>, <kernel.DependentProduct object at 0x1147170>) of role type named sy_c_List_Oupto__rel
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring upto_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1162b90>, <kernel.DependentProduct object at 0x11470e0>) of role type named sy_c_Nat_OSuc
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring suc:(nat->nat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1162998>, <kernel.DependentProduct object at 0x1147248>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1162cf8>, <kernel.DependentProduct object at 0x11472d8>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1162a28>, <kernel.DependentProduct object at 0x1147290>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1162cf8>, <kernel.DependentProduct object at 0x1147320>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Option__Ooption_It__Num__Onum_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring case_nat_option_num:(option_num->((nat->option_num)->(nat->option_num)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1162cf8>, <kernel.DependentProduct object at 0x11471b8>) of role type named sy_c_Nat_Onat_Opred
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring pred:(nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147368>, <kernel.DependentProduct object at 0x11473b0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x11471b8>, <kernel.DependentProduct object at 0x1147128>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x11473b0>, <kernel.DependentProduct object at 0x1147440>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Extended____Nat__Oenat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring semiri4216267220026989637d_enat:(nat->extended_enat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147128>, <kernel.DependentProduct object at 0x11474d0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147440>, <kernel.DependentProduct object at 0x1147560>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x11474d0>, <kernel.DependentProduct object at 0x11475f0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147560>, <kernel.DependentProduct object at 0x1147680>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x11475f0>, <kernel.DependentProduct object at 0x1147200>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Complex__Ocomplex
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring semiri2816024913162550771omplex:((complex->complex)->(nat->(complex->complex)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147680>, <kernel.DependentProduct object at 0x1147758>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring semiri8420488043553186161ux_int:((int->int)->(nat->(int->int)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147200>, <kernel.DependentProduct object at 0x11477e8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring semiri8422978514062236437ux_nat:((nat->nat)->(nat->(nat->nat)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147758>, <kernel.DependentProduct object at 0x1147878>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Rat__Orat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring semiri7787848453975740701ux_rat:((rat->rat)->(nat->(rat->rat)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x11477e8>, <kernel.DependentProduct object at 0x1147908>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring semiri7260567687927622513x_real:((real->real)->(nat->(real->real)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147998>, <kernel.DependentProduct object at 0x1147a70>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_size_list_o:(list_o->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x11477e8>, <kernel.DependentProduct object at 0x1147a28>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x11477a0>, <kernel.DependentProduct object at 0x1147ab8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_size_list_int:(list_int->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x11477e8>, <kernel.DependentProduct object at 0x1147b00>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__List__Olist_It__Nat__Onat_J_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_s3023201423986296836st_nat:(list_list_nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147908>, <kernel.DependentProduct object at 0x1147b90>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_size_list_nat:(list_nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x11477e8>, <kernel.DependentProduct object at 0x1147bd8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_s1515746228057227161od_o_o:(list_P4002435161011370285od_o_o->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147b90>, <kernel.DependentProduct object at 0x1147c68>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_s2953683556165314199_o_int:(list_P3795440434834930179_o_int->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147bd8>, <kernel.DependentProduct object at 0x1147cf8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_s5443766701097040955_o_nat:(list_P6285523579766656935_o_nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147c68>, <kernel.DependentProduct object at 0x1147d88>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_s4313452262239582901T_VEBT:(list_P7495141550334521929T_VEBT->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147cf8>, <kernel.DependentProduct object at 0x1147e18>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_s6491369823275344609_nat_o:(list_P7333126701944960589_nat_o->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147d88>, <kernel.DependentProduct object at 0x1147ea8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_s5460976970255530739at_nat:(list_P6011104703257516679at_nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147e18>, <kernel.DependentProduct object at 0x1147f38>) 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
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_s4762443039079500285T_VEBT:(list_P5647936690300460905T_VEBT->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147ea8>, <kernel.DependentProduct object at 0x1147fc8>) 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
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_s9168528473962070013VEBT_o:(list_P3126845725202233233VEBT_o->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147f38>, <kernel.DependentProduct object at 0x114a098>) 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
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_s3661962791536183091BT_int:(list_P4547456442757143711BT_int->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147fc8>, <kernel.DependentProduct object at 0x114a128>) 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
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_s6152045936467909847BT_nat:(list_P7037539587688870467BT_nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147fc8>, <kernel.DependentProduct object at 0x114a1b8>) 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
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_s7466405169056248089T_VEBT:(list_P7413028617227757229T_VEBT->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147e18>, <kernel.DependentProduct object at 0x114a248>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_size_list_real:(list_real->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a170>, <kernel.DependentProduct object at 0x114a290>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147f80>, <kernel.DependentProduct object at 0x114a320>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_size_num:(num->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1147f80>, <kernel.DependentProduct object at 0x114a368>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Nat__Onat_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_size_option_nat:(option_nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a248>, <kernel.DependentProduct object at 0x114a3b0>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_size_option_num:(option_num->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a0e0>, <kernel.DependentProduct object at 0x114a3f8>) 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
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a368>, <kernel.DependentProduct object at 0x114a488>) of role type named sy_c_Nat_Osize__class_Osize_001t__String__Ochar
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_size_char:(char->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a098>, <kernel.DependentProduct object at 0x114a4d0>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a200>, <kernel.DependentProduct object at 0x114a560>) of role type named sy_c_Nat__Bijection_Olist__encode
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring nat_list_encode:(list_nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a488>, <kernel.DependentProduct object at 0x114a368>) of role type named sy_c_Nat__Bijection_Olist__encode__rel
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring nat_list_encode_rel:(list_nat->(list_nat->Prop))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a3f8>, <kernel.DependentProduct object at 0x114a4d0>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a488>, <kernel.DependentProduct object at 0x114a3f8>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a290>, <kernel.DependentProduct object at 0x114a6c8>) of role type named sy_c_Nat__Bijection_Oprod__encode
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring nat_prod_encode:(product_prod_nat_nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a560>, <kernel.DependentProduct object at 0x114a710>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring nat_set_decode:(nat->set_nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a098>, <kernel.DependentProduct object at 0x114a758>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring nat_set_encode:(set_nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a3b0>, <kernel.DependentProduct object at 0x114a7a0>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring nat_triangle:(nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a6c8>, <kernel.DependentProduct object at 0x114a4d0>) of role type named sy_c_NthRoot_Oroot
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring root:(nat->(real->real))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a560>, <kernel.DependentProduct object at 0x114a7e8>) of role type named sy_c_NthRoot_Osqrt
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring sqrt:(real->real)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a710>, <kernel.DependentProduct object at 0x114a7a0>) of role type named sy_c_Num_OBitM
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring bitM:(num->num)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a3b0>, <kernel.DependentProduct object at 0x114a878>) of role type named sy_c_Num_Oinc
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring inc:(num->num)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a710>, <kernel.DependentProduct object at 0x114a8c0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a878>, <kernel.DependentProduct object at 0x114a950>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a4d0>, <kernel.DependentProduct object at 0x114a9e0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring neg_numeral_dbl_int:(int->int)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a560>, <kernel.DependentProduct object at 0x114aa28>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a908>, <kernel.DependentProduct object at 0x114aa70>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring neg_numeral_dbl_real:(real->real)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114a560>, <kernel.DependentProduct object at 0x114aab8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114aa70>, <kernel.DependentProduct object at 0x114ab48>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114aab8>, <kernel.DependentProduct object at 0x114abd8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114ab48>, <kernel.DependentProduct object at 0x114ac68>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114abd8>, <kernel.DependentProduct object at 0x114acf8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114ac68>, <kernel.DependentProduct object at 0x114ad88>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Code____Numeral__Ointeger
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring neg_nu5831290666863070958nteger:(code_integer->code_integer)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x114acf8>, <kernel.DependentProduct object at 0x114ae18>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Complex__Ocomplex
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring neg_nu8557863876264182079omplex:(complex->complex)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114ad88>, <kernel.DependentProduct object at 0x114aea8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Int__Oint
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring neg_nu5851722552734809277nc_int:(int->int)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114ae18>, <kernel.DependentProduct object at 0x114af38>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Rat__Orat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring neg_nu5219082963157363817nc_rat:(rat->rat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114aea8>, <kernel.DependentProduct object at 0x114afc8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring neg_nu8295874005876285629c_real:(real->real)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114a950>, <kernel.DependentProduct object at 0x114aef0>) of role type named sy_c_Num_Oneg__numeral__class_Osub_001t__Int__Oint
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring neg_numeral_sub_int:(num->(num->int))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114afc8>, <kernel.DependentProduct object at 0x114d050>) of role type named sy_c_Num_Onum_OBit0
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bit0:(num->num)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114af80>, <kernel.DependentProduct object at 0x114d0e0>) of role type named sy_c_Num_Onum_OBit1
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bit1:(num->num)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114aea8>, <kernel.Constant object at 0x114ae18>) of role type named sy_c_Num_Onum_OOne
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring one:num
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114a368>, <kernel.DependentProduct object at 0x114d248>) of role type named sy_c_Num_Onum_Ocase__num_001t__Option__Ooption_It__Num__Onum_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring case_num_option_num:(option_num->((num->option_num)->((num->option_num)->(num->option_num))))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114aea8>, <kernel.DependentProduct object at 0x114d1b8>) of role type named sy_c_Num_Onum_Osize__num
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring size_num:(num->nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114a368>, <kernel.DependentProduct object at 0x114d170>) of role type named sy_c_Num_Onum__of__nat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring num_of_nat:(nat->num)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d1b8>, <kernel.DependentProduct object at 0x114d128>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d200>, <kernel.DependentProduct object at 0x114d320>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring numera6690914467698888265omplex:(num->complex)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d248>, <kernel.DependentProduct object at 0x114d3b0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d170>, <kernel.DependentProduct object at 0x114d440>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring numeral_numeral_int:(num->int)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d128>, <kernel.DependentProduct object at 0x114d488>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring numeral_numeral_nat:(num->nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d098>, <kernel.DependentProduct object at 0x114d4d0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring numeral_numeral_rat:(num->rat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d3b0>, <kernel.DependentProduct object at 0x114d518>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring numeral_numeral_real:(num->real)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d440>, <kernel.DependentProduct object at 0x114d098>) of role type named sy_c_Num_Opow
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring pow:(num->(num->num))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d560>, <kernel.DependentProduct object at 0x114d5a8>) of role type named sy_c_Num_Opred__numeral
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring pred_numeral:(num->nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d4d0>, <kernel.DependentProduct object at 0x114d488>) of role type named sy_c_Num_Osqr
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring sqr:(num->num)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d518>, <kernel.Constant object at 0x114d488>) of role type named sy_c_Option_Ooption_ONone_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring none_nat:option_nat
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d5a8>, <kernel.Constant object at 0x114d488>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring none_num:option_num
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d518>, <kernel.Constant object at 0x114d3b0>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d638>, <kernel.DependentProduct object at 0x114d758>) of role type named sy_c_Option_Ooption_OSome_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring some_nat:(nat->option_nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d440>, <kernel.DependentProduct object at 0x114d7a0>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring some_num:(num->option_num)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d638>, <kernel.DependentProduct object at 0x114d440>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d7a0>, <kernel.DependentProduct object at 0x114d878>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d8c0>, <kernel.DependentProduct object at 0x114d998>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Int__Oint_001t__Num__Onum
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring case_option_int_num:(int->((num->int)->(option_num->int)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d950>, <kernel.DependentProduct object at 0x114d9e0>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d8c0>, <kernel.DependentProduct object at 0x114d638>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114da70>, <kernel.DependentProduct object at 0x114d7e8>) of role type named sy_c_Option_Ooption_Omap__option_001t__Num__Onum_001t__Num__Onum
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring map_option_num_num:((num->num)->(option_num->option_num))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d9e0>, <kernel.DependentProduct object at 0x114da28>) of role type named sy_c_Option_Ooption_Osize__option_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring size_option_nat:((nat->nat)->(option_nat->nat))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d8c0>, <kernel.DependentProduct object at 0x114dab8>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d9e0>, <kernel.DependentProduct object at 0x114d440>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114da70>, <kernel.DependentProduct object at 0x114da28>) of role type named sy_c_Option_Ooption_Othe_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring the_nat:(option_nat->nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d488>, <kernel.DependentProduct object at 0x114dbd8>) of role type named sy_c_Option_Ooption_Othe_001t__Num__Onum
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring the_num:(option_num->num)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114da70>, <kernel.DependentProduct object at 0x114dc20>) of role type named sy_c_Option_Ooption_Othe_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring the_Pr8591224930841456533at_nat:(option4927543243414619207at_nat->product_prod_nat_nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114dbd8>, <kernel.DependentProduct object at 0x114dab8>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_I_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_M_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_M_Eo_J_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bot_bo5358457235160185703eger_o:((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114dc20>, <kernel.DependentProduct object at 0x114dcb0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_I_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_M_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bot_bo1403522918969695512_int_o:((int->option6357759511663192854e_term)->(product_prod_int_int->Prop))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114dab8>, <kernel.DependentProduct object at 0x114d9e0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_M_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_M_Eo_J_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bot_bo3000040243691356879eger_o:((produc6241069584506657477e_term->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114dcb0>, <kernel.DependentProduct object at 0x114dcf8>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_I_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_M_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bot_bo8662317086119403298_int_o:((produc8551481072490612790e_term->option6357759511663192854e_term)->(product_prod_int_int->Prop))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114ddd0>, <kernel.DependentProduct object at 0x114d9e0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bot_bot_int_int_o:(int->(int->Prop))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114dab8>, <kernel.DependentProduct object at 0x114dcb0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bot_bot_nat_nat_o:(nat->(nat->Prop))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114ddd0>, <kernel.Constant object at 0x114dcf8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Extended____Nat__Oenat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bot_bo4199563552545308370d_enat:extended_enat
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114d9e0>, <kernel.Constant object at 0x114dcf8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bot_bot_nat:nat
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114df80>, <kernel.Constant object at 0x114dcf8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bot_bot_set_complex:set_complex
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114def0>, <kernel.Constant object at 0x114dcf8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bot_bot_set_int:set_int
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114dfc8>, <kernel.Constant object at 0x114dcf8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bot_bot_set_nat:set_nat
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114df80>, <kernel.Constant object at 0x114dc68>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Num__Onum_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bot_bot_set_num:set_num
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114dc68>, <kernel.Constant object at 0x1150050>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bot_bo3145834390647256904nteger:set_Pr8056137968301705908nteger
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x114dfc8>, <kernel.Constant object at 0x1150098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bot_bo4508923176915781079nt_int:set_Pr1872883991513573699nt_int
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1150050>, <kernel.Constant object at 0x11501b8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bot_bo5443222936135328352nteger:set_Pr1281608226676607948nteger
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1150248>, <kernel.Constant object at 0x1150050>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bot_bo572930865798478029nt_int:set_Pr9222295170931077689nt_int
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1150170>, <kernel.Constant object at 0x1150248>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bot_bo1796632182523588997nt_int:set_Pr958786334691620121nt_int
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x11502d8>, <kernel.Constant object at 0x1150368>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bot_bo2099793752762293965at_nat:set_Pr1261947904930325089at_nat
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x11503f8>, <kernel.Constant object at 0x1150368>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Rat__Orat_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring bot_bot_set_rat:set_rat
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1150440>, <kernel.Constant object at 0x1150368>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.53/0.73 Using role type
% 0.53/0.74 Declaring bot_bot_set_real:set_real
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1150488>, <kernel.Constant object at 0x1150368>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring bot_bot_set_set_int:set_set_int
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x11504d0>, <kernel.DependentProduct object at 0x11505f0>) of role type named sy_c_Orderings_Oord__class_OLeast_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_Least_nat:((nat->Prop)->nat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x11503b0>, <kernel.DependentProduct object at 0x1150638>) of role type named sy_c_Orderings_Oord__class_OLeast_001t__Real__Oreal
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_Least_real:((real->Prop)->real)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x11504d0>, <kernel.DependentProduct object at 0x11503b0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1150638>, <kernel.DependentProduct object at 0x11504d0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x11506c8>, <kernel.DependentProduct object at 0x11503b0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_less_int:(int->(int->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1150758>, <kernel.DependentProduct object at 0x1150638>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1150518>, <kernel.DependentProduct object at 0x11506c8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_less_num:(num->(num->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1150560>, <kernel.DependentProduct object at 0x1150758>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x11504d0>, <kernel.DependentProduct object at 0x1150518>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_less_real:(real->(real->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x11503b0>, <kernel.DependentProduct object at 0x1150560>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1150638>, <kernel.DependentProduct object at 0x11504d0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x11506c8>, <kernel.DependentProduct object at 0x11503b0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1150758>, <kernel.DependentProduct object at 0x1150638>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1150518>, <kernel.DependentProduct object at 0x11506c8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1150560>, <kernel.DependentProduct object at 0x1150758>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x11504d0>, <kernel.DependentProduct object at 0x1150518>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_less_set_set_int:(set_set_int->(set_set_int->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1150560>, <kernel.DependentProduct object at 0x11507a0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_M_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_M_Eo_J_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_le3636971675376928563eger_o:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))->(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1150518>, <kernel.DependentProduct object at 0x1150560>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_M_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_le2124322318746777828_int_o:(((int->option6357759511663192854e_term)->(product_prod_int_int->Prop))->(((int->option6357759511663192854e_term)->(product_prod_int_int->Prop))->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x11507a0>, <kernel.DependentProduct object at 0x1150518>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_M_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_M_Eo_J_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_le4340812435750786203eger_o:(((produc6241069584506657477e_term->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))->(((produc6241069584506657477e_term->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1150560>, <kernel.DependentProduct object at 0x1150c20>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_M_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_le5643404153117327598_int_o:(((produc8551481072490612790e_term->option6357759511663192854e_term)->(product_prod_int_int->Prop))->(((produc8551481072490612790e_term->option6357759511663192854e_term)->(product_prod_int_int->Prop))->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1150518>, <kernel.DependentProduct object at 0x1150c68>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_le4573692005234683329plex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1150c20>, <kernel.DependentProduct object at 0x1150560>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_le6741204236512500942_int_o:((int->(int->Prop))->((int->(int->Prop))->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1150dd0>, <kernel.DependentProduct object at 0x1150e60>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_Eo_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_less_eq_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1150c20>, <kernel.DependentProduct object at 0x1150ea8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__List__Olist_It__Nat__Onat_J_M_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring ord_le6558929396352911974_nat_o:((list_nat->(list_nat->Prop))->((list_nat->(list_nat->Prop))->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1150e60>, <kernel.DependentProduct object at 0x1150f38>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le1520216061033275535_nat_o:((list_nat->Prop)->((list_nat->Prop)->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1150ea8>, <kernel.DependentProduct object at 0x1150f80>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le2646555220125990790_nat_o:((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1150c20>, <kernel.DependentProduct object at 0x1150f38>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_Eo_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_less_eq_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1150ea8>, <kernel.DependentProduct object at 0x1153098>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le1598226405681992910_int_o:((product_prod_int_int->(product_prod_int_int->Prop))->((product_prod_int_int->(product_prod_int_int->Prop))->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1150f38>, <kernel.DependentProduct object at 0x1153170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le8369615600986905444_int_o:((product_prod_int_int->Prop)->((product_prod_int_int->Prop)->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1150f38>, <kernel.DependentProduct object at 0x1153200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le5604493270027003598_nat_o:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1150f38>, <kernel.DependentProduct object at 0x1153290>) of role type named sy_c_Orderings_Oord__class_Oless__eq_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 ord_le704812498762024988_nat_o:((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x11531b8>, <kernel.DependentProduct object at 0x1153320>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_M_062_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_M_Eo_J_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le2556027599737686990_num_o:((product_prod_num_num->(product_prod_num_num->Prop))->((product_prod_num_num->(product_prod_num_num->Prop))->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153290>, <kernel.DependentProduct object at 0x11533b0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_M_Eo_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le2239182809043710856_num_o:((product_prod_num_num->Prop)->((product_prod_num_num->Prop)->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1150ea8>, <kernel.DependentProduct object at 0x1153488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Real__Oreal_M_Eo_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_less_eq_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153248>, <kernel.DependentProduct object at 0x1153290>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153488>, <kernel.DependentProduct object at 0x1153248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153290>, <kernel.DependentProduct object at 0x1153488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le2510731241096832064er_nat:(filter_nat->(filter_nat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153248>, <kernel.DependentProduct object at 0x1153290>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Real__Oreal_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le4104064031414453916r_real:(filter_real->(filter_real->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x11535f0>, <kernel.DependentProduct object at 0x1153488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153680>, <kernel.DependentProduct object at 0x1153248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x11534d0>, <kernel.DependentProduct object at 0x11535f0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153560>, <kernel.DependentProduct object at 0x1153680>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153290>, <kernel.DependentProduct object at 0x11534d0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153488>, <kernel.DependentProduct object at 0x1153560>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_Eo_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_less_eq_set_o:(set_o->(set_o->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153290>, <kernel.DependentProduct object at 0x1153488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le7084787975880047091nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153560>, <kernel.DependentProduct object at 0x1153290>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x11538c0>, <kernel.DependentProduct object at 0x1153488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153560>, <kernel.DependentProduct object at 0x11538c0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le6045566169113846134st_nat:(set_list_nat->(set_list_nat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153248>, <kernel.DependentProduct object at 0x1153488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153a28>, <kernel.DependentProduct object at 0x1153560>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Num__Onum_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_less_eq_set_num:(set_num->(set_num->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153248>, <kernel.DependentProduct object at 0x11538c0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le3216752416896350996nteger:(set_Pr8056137968301705908nteger->(set_Pr8056137968301705908nteger->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153560>, <kernel.DependentProduct object at 0x1153950>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le135402666524580259nt_int:(set_Pr1872883991513573699nt_int->(set_Pr1872883991513573699nt_int->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x11538c0>, <kernel.DependentProduct object at 0x1153b48>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le653643898420964396nteger:(set_Pr1281608226676607948nteger->(set_Pr1281608226676607948nteger->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153950>, <kernel.DependentProduct object at 0x1153bd8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le8725513860283290265nt_int:(set_Pr9222295170931077689nt_int->(set_Pr9222295170931077689nt_int->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153b48>, <kernel.DependentProduct object at 0x1153c68>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le2843351958646193337nt_int:(set_Pr958786334691620121nt_int->(set_Pr958786334691620121nt_int->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153bd8>, <kernel.DependentProduct object at 0x1153cf8>) 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
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le3146513528884898305at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153950>, <kernel.DependentProduct object at 0x1153c68>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Rat__Orat_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_less_eq_set_rat:(set_rat->(set_rat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153e18>, <kernel.DependentProduct object at 0x1153bd8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153950>, <kernel.DependentProduct object at 0x1153e18>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le4403425263959731960et_int:(set_set_int->(set_set_int->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153bd8>, <kernel.DependentProduct object at 0x1153950>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153f38>, <kernel.DependentProduct object at 0x1153e18>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Code____Numeral__Ointeger
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_max_Code_integer:(code_integer->(code_integer->code_integer))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153bd8>, <kernel.DependentProduct object at 0x1153950>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Extended____Nat__Oenat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_ma741700101516333627d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153488>, <kernel.DependentProduct object at 0x1153f80>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_max_int:(int->(int->int))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153e18>, <kernel.DependentProduct object at 0x11641b8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_max_nat:(nat->(nat->nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153488>, <kernel.DependentProduct object at 0x1164200>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Num__Onum
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_max_num:(num->(num->num))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153f80>, <kernel.DependentProduct object at 0x1164248>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Rat__Orat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_max_rat:(rat->(rat->rat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153488>, <kernel.DependentProduct object at 0x11640e0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Real__Oreal
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_max_real:(real->(real->real))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1153f80>, <kernel.DependentProduct object at 0x11641b8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Int__Oint_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_max_set_int:(set_int->(set_int->set_int))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1164290>, <kernel.DependentProduct object at 0x1164320>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Extended____Nat__Oenat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_mi8085742599997312461d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1164050>, <kernel.DependentProduct object at 0x1164200>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring ord_min_nat:(nat->(nat->nat))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1164098>, <kernel.DependentProduct object at 0x11643b0>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring order_Greatest_nat:((nat->Prop)->nat)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1164050>, <kernel.DependentProduct object at 0x1164290>) of role type named sy_c_Orderings_Oorder__class_Oantimono_001t__Nat__Onat_001t__Real__Oreal
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring order_9091379641038594480t_real:((nat->real)->Prop)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1164128>, <kernel.DependentProduct object at 0x1164440>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x11643f8>, <kernel.DependentProduct object at 0x11643b0>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Real__Oreal
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring order_mono_nat_real:((nat->real)->Prop)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1164128>, <kernel.DependentProduct object at 0x1164050>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring order_5726023648592871131at_nat:((nat->nat)->Prop)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1164320>, <kernel.Constant object at 0x1164050>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_Eo_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring top_top_set_o:set_o
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1164488>, <kernel.Constant object at 0x1164050>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring top_top_set_nat:set_nat
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x11643f8>, <kernel.Constant object at 0x1164050>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring top_top_set_real:set_real
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1164560>, <kernel.Constant object at 0x1164050>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring top_top_set_char:set_char
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x11643f8>, <kernel.DependentProduct object at 0x1164560>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x11646c8>, <kernel.DependentProduct object at 0x1164050>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring power_power_complex:(complex->(nat->complex))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x11645a8>, <kernel.DependentProduct object at 0x11643f8>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring power_power_int:(int->(nat->int))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x11647a0>, <kernel.DependentProduct object at 0x11646c8>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring power_power_nat:(nat->(nat->nat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x11645f0>, <kernel.DependentProduct object at 0x11645a8>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring power_power_rat:(rat->(nat->rat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1164638>, <kernel.DependentProduct object at 0x11647a0>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring power_power_real:(real->(nat->real))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x11645f0>, <kernel.DependentProduct object at 0x11646c8>) of role type named sy_c_Product__Type_OPair_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring produc6137756002093451184nteger:((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->produc8763457246119570046nteger))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x11647a0>, <kernel.DependentProduct object at 0x11643f8>) of role type named sy_c_Product__Type_OPair_001_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring produc4305682042979456191nt_int:((int->option6357759511663192854e_term)->(product_prod_int_int->produc7773217078559923341nt_int))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x11646c8>, <kernel.DependentProduct object at 0x1164758>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring produc4035269172776083154on_nat:((nat->(nat->Prop))->(produc4953844613479565601on_nat->produc2233624965454879586on_nat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x11643f8>, <kernel.DependentProduct object at 0x11645a8>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring produc3209952032786966637at_nat:((nat->(nat->nat))->(produc7248412053542808358at_nat->produc4471711990508489141at_nat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1164758>, <kernel.DependentProduct object at 0x1164a28>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring produc8929957630744042906on_nat:((nat->(nat->nat))->(produc4953844613479565601on_nat->produc8306885398267862888on_nat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x11645a8>, <kernel.DependentProduct object at 0x1164b00>) of role type named sy_c_Product__Type_OPair_001_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring produc3576312749637752826on_num:((num->(num->Prop))->(produc3447558737645232053on_num->produc7036089656553540234on_num))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1164a28>, <kernel.DependentProduct object at 0x1164b90>) of role type named sy_c_Product__Type_OPair_001_062_It__Num__Onum_M_062_It__Num__Onum_Mt__Num__Onum_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring produc5778274026573060048on_num:((num->(num->num))->(produc3447558737645232053on_num->produc1193250871479095198on_num))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1164b00>, <kernel.DependentProduct object at 0x1164c68>) of role type named sy_c_Product__Type_OPair_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring produc8603105652947943368nteger:((produc6241069584506657477e_term->option6357759511663192854e_term)->(produc8923325533196201883nteger->produc1908205239877642774nteger))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1164b90>, <kernel.DependentProduct object at 0x1164bd8>) of role type named sy_c_Product__Type_OPair_001_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring produc5700946648718959541nt_int:((produc8551481072490612790e_term->option6357759511663192854e_term)->(product_prod_int_int->produc2285326912895808259nt_int))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1164c68>, <kernel.DependentProduct object at 0x1164950>) of role type named sy_c_Product__Type_OPair_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring produc3994169339658061776at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(produc6121120109295599847at_nat->produc5491161045314408544at_nat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1164bd8>, <kernel.DependentProduct object at 0x1164cf8>) of role type named sy_c_Product__Type_OPair_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring produc2899441246263362727at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(produc6121120109295599847at_nat->produc5542196010084753463at_nat))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1164ea8>, <kernel.DependentProduct object at 0x1164b48>) of role type named sy_c_Product__Type_OPair_001_Eo_001_Eo
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring product_Pair_o_o:(Prop->(Prop->product_prod_o_o))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1164e18>, <kernel.DependentProduct object at 0x1164b48>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Int__Oint
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring product_Pair_o_int:(Prop->(int->product_prod_o_int))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1164cf8>, <kernel.DependentProduct object at 0x1164b48>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Nat__Onat
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring product_Pair_o_nat:(Prop->(nat->product_prod_o_nat))
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1164e18>, <kernel.DependentProduct object at 0x1164d88>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring produc2982872950893828659T_VEBT:(Prop->(vEBT_VEBT->produc2504756804600209347T_VEBT))
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1164b48>, <kernel.DependentProduct object at 0x11670e0>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1164d88>, <kernel.DependentProduct object at 0x1167050>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1164e18>, <kernel.DependentProduct object at 0x11671b8>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1164cf8>, <kernel.DependentProduct object at 0x1167098>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001_Eo
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring product_Pair_nat_o:(nat->(Prop->product_prod_nat_o))
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1164e18>, <kernel.DependentProduct object at 0x11670e0>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1164cf8>, <kernel.DependentProduct object at 0x1167200>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Num__Onum
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring product_Pair_nat_num:(nat->(num->product_prod_nat_num))
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1167050>, <kernel.DependentProduct object at 0x1167320>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring produc487386426758144856at_nat:(nat->(product_prod_nat_nat->produc7248412053542808358at_nat))
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1167290>, <kernel.DependentProduct object at 0x1167050>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring produc599794634098209291T_VEBT:(nat->(vEBT_VEBT->produc8025551001238799321T_VEBT))
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x11673b0>, <kernel.DependentProduct object at 0x1167320>) of role type named sy_c_Product__Type_OPair_001t__Num__Onum_001t__Num__Onum
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring product_Pair_num_num:(num->(num->product_prod_num_num))
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1167290>, <kernel.DependentProduct object at 0x11673b0>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Nat__Onat_J_001t__Option__Ooption_It__Nat__Onat_J
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring produc5098337634421038937on_nat:(option_nat->(option_nat->produc4953844613479565601on_nat))
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1167320>, <kernel.DependentProduct object at 0x1167290>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Num__Onum_J_001t__Option__Ooption_It__Num__Onum_J
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring produc8585076106096196333on_num:(option_num->(option_num->produc3447558737645232053on_num))
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x11673b0>, <kernel.DependentProduct object at 0x1167128>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring produc488173922507101015at_nat:(option4927543243414619207at_nat->(option4927543243414619207at_nat->produc6121120109295599847at_nat))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1167290>, <kernel.DependentProduct object at 0x11673b0>) of role type named sy_c_Product__Type_OPair_001t__Set__Oset_It__Complex__Ocomplex_J_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc3790773574474814305omplex:(set_complex->(set_complex->produc8064648209034914857omplex))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1167128>, <kernel.DependentProduct object at 0x1167290>) of role type named sy_c_Product__Type_OPair_001t__Set__Oset_It__Int__Oint_J_001t__Set__Oset_It__Int__Oint_J
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc6363374080413544029et_int:(set_int->(set_int->produc2115011035271226405et_int))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x11673b0>, <kernel.DependentProduct object at 0x1167128>) of role type named sy_c_Product__Type_OPair_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Nat__Onat_J
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc4532415448927165861et_nat:(set_nat->(set_nat->produc7819656566062154093et_nat))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1167290>, <kernel.DependentProduct object at 0x11677e8>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1167128>, <kernel.DependentProduct object at 0x1167290>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc736041933913180425BT_int:(vEBT_VEBT->(int->produc4894624898956917775BT_int))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x11677e8>, <kernel.DependentProduct object at 0x1167128>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1167290>, <kernel.DependentProduct object at 0x11677e8>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1167128>, <kernel.DependentProduct object at 0x1167320>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x11677e8>, <kernel.DependentProduct object at 0x1167b00>) of role type named sy_c_Product__Type_Omap__prod_001t__Code____Numeral__Ointeger_001t__Nat__Onat_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc8678311845419106900er_nat:((code_integer->nat)->((code_integer->nat)->(produc8923325533196201883nteger->product_prod_nat_nat)))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1167320>, <kernel.DependentProduct object at 0x11677e8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_Eo
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc127349428274296955eger_o:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))->(produc8763457246119570046nteger->Prop))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1167b00>, <kernel.DependentProduct object at 0x1167320>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc2592262431452330817omplex:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->set_complex))->(produc8763457246119570046nteger->set_complex))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x11677e8>, <kernel.DependentProduct object at 0x1167b00>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Set__Oset_It__Int__Oint_J
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc8604463032469472703et_int:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->set_int))->(produc8763457246119570046nteger->set_int))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1167320>, <kernel.DependentProduct object at 0x11677e8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Set__Oset_It__Nat__Onat_J
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc3558942015123893603et_nat:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->set_nat))->(produc8763457246119570046nteger->set_nat))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1167b00>, <kernel.DependentProduct object at 0x1167320>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Set__Oset_It__Real__Oreal_J
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc815715089573277247t_real:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->set_real))->(produc8763457246119570046nteger->set_real))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x11677e8>, <kernel.DependentProduct object at 0x1167b00>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc2558449545302689196_int_o:(((int->option6357759511663192854e_term)->(product_prod_int_int->Prop))->(produc7773217078559923341nt_int->Prop))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1167320>, <kernel.DependentProduct object at 0x11677e8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Set__Oset_It__Nat__Onat_J
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc8289552606927098482et_nat:(((int->option6357759511663192854e_term)->(product_prod_int_int->set_nat))->(produc7773217078559923341nt_int->set_nat))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1167b00>, <kernel.DependentProduct object at 0x1167320>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_Eo
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc6253627499356882019eger_o:(((produc6241069584506657477e_term->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))->(produc1908205239877642774nteger->Prop))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x11677e8>, <kernel.DependentProduct object at 0x1167b00>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc1573362020775583542_int_o:(((produc8551481072490612790e_term->option6357759511663192854e_term)->(product_prod_int_int->Prop))->(produc2285326912895808259nt_int->Prop))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1167320>, <kernel.DependentProduct object at 0x1167d40>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1167b00>, <kernel.DependentProduct object at 0x1169170>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1167d40>, <kernel.DependentProduct object at 0x1169200>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc7336495610019696514er_num:((code_integer->(code_integer->num))->(produc8923325533196201883nteger->num))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1167d40>, <kernel.DependentProduct object at 0x1169200>) 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
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x11677e8>, <kernel.DependentProduct object at 0x1169200>) 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
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x11690e0>, <kernel.DependentProduct object at 0x11691b8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1169200>, <kernel.DependentProduct object at 0x11692d8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc8211389475949308722nt_int:((int->(int->int))->(product_prod_int_int->int))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1169320>, <kernel.DependentProduct object at 0x1169290>) 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
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1169440>, <kernel.DependentProduct object at 0x1169488>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc8580519160106071146omplex:((int->(int->set_complex))->(product_prod_int_int->set_complex))
% 0.58/0.77 FOF formula (<kernel.Constant object at 0x1169290>, <kernel.DependentProduct object at 0x11693f8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Int__Oint_J
% 0.58/0.77 Using role type
% 0.58/0.77 Declaring produc73460835934605544et_int:((int->(int->set_int))->(product_prod_int_int->set_int))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169488>, <kernel.DependentProduct object at 0x1169518>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Nat__Onat_J
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring produc4251311855443802252et_nat:((int->(int->set_nat))->(product_prod_int_int->set_nat))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x11693f8>, <kernel.DependentProduct object at 0x11696c8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring produc1656060378719767003at_nat:((int->(int->set_Pr1261947904930325089at_nat))->(product_prod_int_int->set_Pr1261947904930325089at_nat))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169518>, <kernel.DependentProduct object at 0x1169680>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Real__Oreal_J
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring produc6452406959799940328t_real:((int->(int->set_real))->(product_prod_int_int->set_real))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x11696c8>, <kernel.DependentProduct object at 0x11697e8>) 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
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring produc8739625826339149834_nat_o:((nat->(nat->(product_prod_nat_nat->Prop)))->(product_prod_nat_nat->(product_prod_nat_nat->Prop)))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169680>, <kernel.DependentProduct object at 0x1169878>) 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
% 0.58/0.78 Using role type
% 0.58/0.78 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)))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x11697e8>, <kernel.DependentProduct object at 0x11695f0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169878>, <kernel.DependentProduct object at 0x1169320>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring produc1917071388513777916omplex:((nat->(nat->complex))->(product_prod_nat_nat->complex))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x11695f0>, <kernel.DependentProduct object at 0x1169908>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring produc6840382203811409530at_int:((nat->(nat->int))->(product_prod_nat_nat->int))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169320>, <kernel.DependentProduct object at 0x1169998>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring produc6842872674320459806at_nat:((nat->(nat->nat))->(product_prod_nat_nat->nat))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169908>, <kernel.DependentProduct object at 0x1169a28>) 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
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169998>, <kernel.DependentProduct object at 0x1169ab8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Rat__Orat
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring produc6207742614233964070at_rat:((nat->(nat->rat))->(product_prod_nat_nat->rat))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169a28>, <kernel.DependentProduct object at 0x1169b48>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Real__Oreal
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring produc1703576794950452218t_real:((nat->(nat->real))->(product_prod_nat_nat->real))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169ab8>, <kernel.DependentProduct object at 0x1169bd8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Option__Ooption_It__Num__Onum_J
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring produc478579273971653890on_num:((nat->(num->option_num))->(product_prod_nat_num->option_num))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169d40>, <kernel.DependentProduct object at 0x1169c68>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169710>, <kernel.DependentProduct object at 0x1169d88>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169950>, <kernel.DependentProduct object at 0x1169dd0>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169bd8>, <kernel.DependentProduct object at 0x1169e18>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169c68>, <kernel.DependentProduct object at 0x1169e60>) of role type named sy_c_Rat_OAbs__Rat
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring abs_Rat:(product_prod_int_int->rat)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169d88>, <kernel.DependentProduct object at 0x1169bd8>) of role type named sy_c_Rat_OFract
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring fract:(int->(int->rat))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169ea8>, <kernel.DependentProduct object at 0x1169ef0>) of role type named sy_c_Rat_OFrct
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring frct:(product_prod_int_int->rat)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169e18>, <kernel.DependentProduct object at 0x1169dd0>) of role type named sy_c_Rat_ORep__Rat
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring rep_Rat:(rat->product_prod_int_int)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169ea8>, <kernel.Constant object at 0x1169bd8>) of role type named sy_c_Rat_Ofield__char__0__class_ORats_001t__Real__Oreal
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring field_5140801741446780682s_real:set_real
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169dd0>, <kernel.DependentProduct object at 0x116c050>) of role type named sy_c_Rat_Ofield__char__0__class_Oof__rat_001t__Real__Oreal
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring field_7254667332652039916t_real:(rat->real)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169ef0>, <kernel.DependentProduct object at 0x116c0e0>) of role type named sy_c_Rat_Onormalize
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169fc8>, <kernel.DependentProduct object at 0x116c128>) of role type named sy_c_Rat_Oof__int
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring of_int:(int->rat)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169bd8>, <kernel.DependentProduct object at 0x116c098>) of role type named sy_c_Rat_Opcr__rat
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring pcr_rat:(product_prod_int_int->(rat->Prop))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169ef0>, <kernel.DependentProduct object at 0x116c1b8>) of role type named sy_c_Rat_Opositive
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring positive:(rat->Prop)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169bd8>, <kernel.DependentProduct object at 0x116c200>) of role type named sy_c_Rat_Oquotient__of
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring quotient_of:(rat->product_prod_int_int)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169ea8>, <kernel.DependentProduct object at 0x116c128>) of role type named sy_c_Rat_Oratrel
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring ratrel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169ef0>, <kernel.DependentProduct object at 0x116c1b8>) of role type named sy_c_Real_OReal
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring real2:((nat->rat)->real)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x1169ef0>, <kernel.DependentProduct object at 0x116c0e0>) of role type named sy_c_Real_Ocauchy
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring cauchy:((nat->rat)->Prop)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x116c170>, <kernel.DependentProduct object at 0x116c248>) of role type named sy_c_Real_Ocr__real
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring cr_real:((nat->rat)->(real->Prop))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x116c0e0>, <kernel.DependentProduct object at 0x116c2d8>) of role type named sy_c_Real_Opcr__real
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring pcr_real:((nat->rat)->(real->Prop))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x116c248>, <kernel.DependentProduct object at 0x116c3b0>) of role type named sy_c_Real_Opositive
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring positive2:(real->Prop)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x116c170>, <kernel.DependentProduct object at 0x116c488>) of role type named sy_c_Real_Orealrel
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring realrel:((nat->rat)->((nat->rat)->Prop))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x116c0e0>, <kernel.DependentProduct object at 0x116c248>) of role type named sy_c_Real_Orep__real
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring rep_real:(real->(nat->rat))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x116c200>, <kernel.DependentProduct object at 0x116c4d0>) of role type named sy_c_Real_Ovanishes
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring vanishes:((nat->rat)->Prop)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x116c0e0>, <kernel.Constant object at 0x116c488>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Complex__Ocomplex
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring real_V2521375963428798218omplex:set_complex
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x116c4d0>, <kernel.DependentProduct object at 0x116c518>) of role type named sy_c_Real__Vector__Spaces_Obounded__linear_001t__Real__Oreal_001t__Real__Oreal
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring real_V5970128139526366754l_real:((real->real)->Prop)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x116c488>, <kernel.DependentProduct object at 0x116c5f0>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x116c518>, <kernel.DependentProduct object at 0x116c680>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring real_V7735802525324610683m_real:(real->real)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x116c5f0>, <kernel.DependentProduct object at 0x116c710>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x116c680>, <kernel.DependentProduct object at 0x116c5f0>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Complex__Ocomplex
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring real_V2046097035970521341omplex:(real->(complex->complex))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x116c710>, <kernel.DependentProduct object at 0x116c680>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Real__Oreal
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring real_V1485227260804924795R_real:(real->(real->real))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x116c1b8>, <kernel.DependentProduct object at 0x116c7a0>) of role type named sy_c_Relation_OField_001t__Nat__Onat
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring field_nat:(set_Pr1261947904930325089at_nat->set_nat)
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x116c710>, <kernel.DependentProduct object at 0x116c1b8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.58/0.78 FOF formula (<kernel.Constant object at 0x116c7a0>, <kernel.DependentProduct object at 0x116c710>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.58/0.78 Using role type
% 0.58/0.78 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116c830>, <kernel.DependentProduct object at 0x116c1b8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring divide_divide_int:(int->(int->int))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116c908>, <kernel.DependentProduct object at 0x116c7a0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116ca70>, <kernel.DependentProduct object at 0x116c830>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116c878>, <kernel.DependentProduct object at 0x116c908>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring divide_divide_real:(real->(real->real))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116c998>, <kernel.DependentProduct object at 0x116ca70>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116ca28>, <kernel.DependentProduct object at 0x116c878>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116c7a0>, <kernel.DependentProduct object at 0x116c998>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116c830>, <kernel.DependentProduct object at 0x116ca28>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116c908>, <kernel.DependentProduct object at 0x116c7a0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116ca70>, <kernel.DependentProduct object at 0x116c830>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116c908>, <kernel.DependentProduct object at 0x116ca70>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116c710>, <kernel.DependentProduct object at 0x116c830>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring modulo_modulo_int:(int->(int->int))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116c878>, <kernel.DependentProduct object at 0x116c908>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116c710>, <kernel.DependentProduct object at 0x116ce60>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116c908>, <kernel.DependentProduct object at 0x116c998>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116ce60>, <kernel.DependentProduct object at 0x116cef0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116c998>, <kernel.DependentProduct object at 0x116cf80>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116cef0>, <kernel.DependentProduct object at 0x116e050>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116c998>, <kernel.DependentProduct object at 0x116e0e0>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring suminf_complex:((nat->complex)->complex)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116c128>, <kernel.DependentProduct object at 0x116e170>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring suminf_int:((nat->int)->int)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116cef0>, <kernel.DependentProduct object at 0x116e098>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring suminf_nat:((nat->nat)->nat)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116cf80>, <kernel.DependentProduct object at 0x116e050>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring suminf_real:((nat->real)->real)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116cef0>, <kernel.DependentProduct object at 0x116e128>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring summable_complex:((nat->complex)->Prop)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116c998>, <kernel.DependentProduct object at 0x116e098>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring summable_int:((nat->int)->Prop)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116c998>, <kernel.DependentProduct object at 0x116e050>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring summable_nat:((nat->nat)->Prop)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e248>, <kernel.DependentProduct object at 0x116e0e0>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring summable_real:((nat->real)->Prop)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e290>, <kernel.DependentProduct object at 0x116e2d8>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e1b8>, <kernel.DependentProduct object at 0x116e368>) of role type named sy_c_Series_Osums_001t__Int__Oint
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring sums_int:((nat->int)->(int->Prop))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e0e0>, <kernel.DependentProduct object at 0x116e050>) of role type named sy_c_Series_Osums_001t__Nat__Onat
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring sums_nat:((nat->nat)->(nat->Prop))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e320>, <kernel.DependentProduct object at 0x116e3f8>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring sums_real:((nat->real)->(real->Prop))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e050>, <kernel.DependentProduct object at 0x116e4d0>) of role type named sy_c_Set_OCollect_001_Eo
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring collect_o:((Prop->Prop)->set_o)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e248>, <kernel.DependentProduct object at 0x116e1b8>) of role type named sy_c_Set_OCollect_001t__Code____Numeral__Ointeger
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring collect_Code_integer:((code_integer->Prop)->set_Code_integer)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e3f8>, <kernel.DependentProduct object at 0x116e518>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e368>, <kernel.DependentProduct object at 0x116e5a8>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring collect_int:((int->Prop)->set_int)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e0e0>, <kernel.DependentProduct object at 0x116e3f8>) of role type named sy_c_Set_OCollect_001t__List__Olist_I_Eo_J
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring collect_list_o:((list_o->Prop)->set_list_o)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e5a8>, <kernel.DependentProduct object at 0x116e5f0>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Complex__Ocomplex_J
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring collect_list_complex:((list_complex->Prop)->set_list_complex)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e3b0>, <kernel.DependentProduct object at 0x116e638>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Int__Oint_J
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring collect_list_int:((list_int->Prop)->set_list_int)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e050>, <kernel.DependentProduct object at 0x116e680>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e3b0>, <kernel.DependentProduct object at 0x116e6c8>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring collec5608196760682091941T_VEBT:((list_VEBT_VEBT->Prop)->set_list_VEBT_VEBT)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e2d8>, <kernel.DependentProduct object at 0x116e7a0>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e248>, <kernel.DependentProduct object at 0x116e7e8>) of role type named sy_c_Set_OCollect_001t__Num__Onum
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring collect_num:((num->Prop)->set_num)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e680>, <kernel.DependentProduct object at 0x116e2d8>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e248>, <kernel.DependentProduct object at 0x116e680>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring collec3392354462482085612at_nat:((product_prod_nat_nat->Prop)->set_Pr1261947904930325089at_nat)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e560>, <kernel.DependentProduct object at 0x116e950>) of role type named sy_c_Set_OCollect_001t__Rat__Orat
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring collect_rat:((rat->Prop)->set_rat)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e050>, <kernel.DependentProduct object at 0x116e998>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring collect_real:((real->Prop)->set_real)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e758>, <kernel.DependentProduct object at 0x116e680>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring collect_set_complex:((set_complex->Prop)->set_set_complex)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e998>, <kernel.DependentProduct object at 0x116e9e0>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Int__Oint_J
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring collect_set_int:((set_int->Prop)->set_set_int)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e908>, <kernel.DependentProduct object at 0x116ea28>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring collect_set_nat:((set_nat->Prop)->set_set_nat)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e8c0>, <kernel.DependentProduct object at 0x116ea70>) of role type named sy_c_Set_OCollect_001t__VEBT____Definitions__OVEBT
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring collect_VEBT_VEBT:((vEBT_VEBT->Prop)->set_VEBT_VEBT)
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e2d8>, <kernel.DependentProduct object at 0x116e560>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e908>, <kernel.DependentProduct object at 0x116e758>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Int__Oint
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring image_nat_int:((nat->int)->(set_nat->set_int))
% 0.58/0.79 FOF formula (<kernel.Constant object at 0x116e8c0>, <kernel.DependentProduct object at 0x116eab8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.58/0.79 Using role type
% 0.58/0.79 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x116e2d8>, <kernel.DependentProduct object at 0x116eb00>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Real__Oreal
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring image_nat_real:((nat->real)->(set_nat->set_real))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x116e908>, <kernel.DependentProduct object at 0x116e248>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x116e8c0>, <kernel.DependentProduct object at 0x116ea70>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x116e2d8>, <kernel.DependentProduct object at 0x116e560>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x116e7e8>, <kernel.DependentProduct object at 0x116e2d8>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring insert_int:(int->(set_int->set_int))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x116e908>, <kernel.DependentProduct object at 0x116e560>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x116e248>, <kernel.DependentProduct object at 0x116e7e8>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring insert_real:(real->(set_real->set_real))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x116e8c0>, <kernel.DependentProduct object at 0x116ee18>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Complex__Ocomplex
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_fo1517530859248394432omplex:((nat->(complex->complex))->(nat->(nat->(complex->complex))))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x116e248>, <kernel.DependentProduct object at 0x116e7e8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Int__Oint
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_fo2581907887559384638at_int:((nat->(int->int))->(nat->(nat->(int->int))))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x116ee18>, <kernel.DependentProduct object at 0x116e2d8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x116e7e8>, <kernel.DependentProduct object at 0x116e908>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Rat__Orat
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_fo1949268297981939178at_rat:((nat->(rat->rat))->(nat->(nat->(rat->rat))))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x116e2d8>, <kernel.DependentProduct object at 0x116ea70>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Real__Oreal
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_fo3111899725591712190t_real:((nat->(real->real))->(nat->(nat->(real->real))))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x116e908>, <kernel.DependentProduct object at 0x11710e0>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat__rel_001t__Nat__Onat
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_fo3699595496184130361el_nat:(produc4471711990508489141at_nat->(produc4471711990508489141at_nat->Prop))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x116ea70>, <kernel.DependentProduct object at 0x116e2d8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x116ea70>, <kernel.DependentProduct object at 0x1171128>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x116ea70>, <kernel.DependentProduct object at 0x1171200>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x116e908>, <kernel.DependentProduct object at 0x1171290>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x1171200>, <kernel.DependentProduct object at 0x1171320>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x1171128>, <kernel.DependentProduct object at 0x11713b0>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Int__Oint_J
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_or370866239135849197et_int:(set_int->(set_int->set_set_int))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x1171248>, <kernel.DependentProduct object at 0x1171440>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x1171050>, <kernel.DependentProduct object at 0x1171248>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x1171128>, <kernel.DependentProduct object at 0x1171200>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x1171488>, <kernel.DependentProduct object at 0x11715f0>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Real__Oreal
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_ord_atLeast_real:(real->set_real)
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x1171518>, <kernel.DependentProduct object at 0x1171638>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Int__Oint
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_ord_atMost_int:(int->set_int)
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x1171248>, <kernel.DependentProduct object at 0x1171680>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x1171200>, <kernel.DependentProduct object at 0x11716c8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Num__Onum
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_ord_atMost_num:(num->set_num)
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x11715f0>, <kernel.DependentProduct object at 0x1171710>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Rat__Orat
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_ord_atMost_rat:(rat->set_rat)
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x1171638>, <kernel.DependentProduct object at 0x1171758>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Real__Oreal
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_ord_atMost_real:(real->set_real)
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x11715f0>, <kernel.DependentProduct object at 0x11717a0>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Set__Oset_It__Int__Oint_J
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_or58775011639299419et_int:(set_int->set_set_int)
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x1171758>, <kernel.DependentProduct object at 0x11715f0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x11717a0>, <kernel.DependentProduct object at 0x1171758>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.58/0.80 Using role type
% 0.58/0.80 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.58/0.80 FOF formula (<kernel.Constant object at 0x11715f0>, <kernel.DependentProduct object at 0x11717a0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.58/0.80 Using role type
% 0.58/0.81 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1171758>, <kernel.DependentProduct object at 0x11715f0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x11717a0>, <kernel.DependentProduct object at 0x1171758>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x11715f0>, <kernel.DependentProduct object at 0x1171680>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1171758>, <kernel.DependentProduct object at 0x1171b90>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1171830>, <kernel.DependentProduct object at 0x1171c20>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Int__Oint
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring set_ord_lessThan_int:(int->set_int)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1171ab8>, <kernel.DependentProduct object at 0x1171c68>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1171b48>, <kernel.DependentProduct object at 0x1171cb0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Num__Onum
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring set_ord_lessThan_num:(num->set_num)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1171b90>, <kernel.DependentProduct object at 0x1171cf8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Rat__Orat
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring set_ord_lessThan_rat:(rat->set_rat)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1171b48>, <kernel.DependentProduct object at 0x1171d40>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1171c20>, <kernel.DependentProduct object at 0x1171dd0>) of role type named sy_c_String_Oascii__of
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring ascii_of:(char->char)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1171cb0>, <kernel.DependentProduct object at 0x1171e18>) of role type named sy_c_String_Ochar_OChar
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring char2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->char))))))))
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1171c20>, <kernel.DependentProduct object at 0x1171ef0>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x11712d8>, <kernel.DependentProduct object at 0x1171f80>) of role type named sy_c_String_Ointeger__of__char
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring integer_of_char:(char->code_integer)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1171e18>, <kernel.DependentProduct object at 0x1171c20>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x11712d8>, <kernel.DependentProduct object at 0x1171e18>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1171c20>, <kernel.DependentProduct object at 0x1175128>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Real__Oreal_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring topolo5044208981011980120l_real:(set_real->((real->real)->Prop))
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1171e18>, <kernel.DependentProduct object at 0x1175128>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Int__Oint
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring topolo4899668324122417113eq_int:((nat->int)->Prop)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1171e18>, <kernel.DependentProduct object at 0x1175128>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Nat__Onat
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring topolo4902158794631467389eq_nat:((nat->nat)->Prop)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1171ea8>, <kernel.DependentProduct object at 0x1175128>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Num__Onum
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring topolo1459490580787246023eq_num:((nat->num)->Prop)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175248>, <kernel.DependentProduct object at 0x1175128>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Rat__Orat
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring topolo4267028734544971653eq_rat:((nat->rat)->Prop)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x11751b8>, <kernel.DependentProduct object at 0x1175128>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x11752d8>, <kernel.DependentProduct object at 0x1175128>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Set__Oset_It__Int__Oint_J
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring topolo3100542954746470799et_int:((nat->set_int)->Prop)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x11750e0>, <kernel.DependentProduct object at 0x11751b8>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x11752d8>, <kernel.DependentProduct object at 0x1175248>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x11751b8>, <kernel.DependentProduct object at 0x1175560>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175488>, <kernel.DependentProduct object at 0x1175638>) of role type named sy_c_Transcendental_Oarccos
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring arccos:(real->real)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x11754d0>, <kernel.DependentProduct object at 0x1175680>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring arcosh_real:(real->real)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x11753b0>, <kernel.DependentProduct object at 0x11756c8>) of role type named sy_c_Transcendental_Oarcsin
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring arcsin:(real->real)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175560>, <kernel.DependentProduct object at 0x1175710>) of role type named sy_c_Transcendental_Oarctan
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring arctan:(real->real)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175638>, <kernel.DependentProduct object at 0x1175758>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring arsinh_real:(real->real)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175680>, <kernel.DependentProduct object at 0x11757a0>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring artanh_real:(real->real)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x11756c8>, <kernel.DependentProduct object at 0x11757e8>) of role type named sy_c_Transcendental_Ocos_001t__Complex__Ocomplex
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring cos_complex:(complex->complex)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175710>, <kernel.DependentProduct object at 0x1175830>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring cos_real:(real->real)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175368>, <kernel.DependentProduct object at 0x11758c0>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring cos_coeff:(nat->real)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x11757e8>, <kernel.DependentProduct object at 0x1175710>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring cosh_real:(real->real)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x11758c0>, <kernel.DependentProduct object at 0x1175908>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring cot_real:(real->real)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175638>, <kernel.DependentProduct object at 0x1175368>) of role type named sy_c_Transcendental_Odiffs_001t__Complex__Ocomplex
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring diffs_complex:((nat->complex)->(nat->complex))
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x11757e8>, <kernel.DependentProduct object at 0x1175710>) of role type named sy_c_Transcendental_Odiffs_001t__Int__Oint
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring diffs_int:((nat->int)->(nat->int))
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x11758c0>, <kernel.DependentProduct object at 0x1175950>) of role type named sy_c_Transcendental_Odiffs_001t__Rat__Orat
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring diffs_rat:((nat->rat)->(nat->rat))
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175638>, <kernel.DependentProduct object at 0x1175998>) of role type named sy_c_Transcendental_Odiffs_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring diffs_real:((nat->real)->(nat->real))
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x11757e8>, <kernel.DependentProduct object at 0x1175368>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring exp_complex:(complex->complex)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x11756c8>, <kernel.DependentProduct object at 0x1175710>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring exp_real:(real->real)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175908>, <kernel.DependentProduct object at 0x1175b00>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring ln_ln_real:(real->real)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175998>, <kernel.DependentProduct object at 0x11756c8>) of role type named sy_c_Transcendental_Olog
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring log:(real->(real->real))
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175b48>, <kernel.Constant object at 0x11756c8>) of role type named sy_c_Transcendental_Opi
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring pi:real
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175b00>, <kernel.DependentProduct object at 0x1175998>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring powr_real:(real->(real->real))
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175368>, <kernel.DependentProduct object at 0x1175c20>) of role type named sy_c_Transcendental_Osin_001t__Complex__Ocomplex
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring sin_complex:(complex->complex)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175638>, <kernel.DependentProduct object at 0x1175710>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring sin_real:(real->real)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175758>, <kernel.DependentProduct object at 0x1175cf8>) of role type named sy_c_Transcendental_Osin__coeff
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring sin_coeff:(nat->real)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175c20>, <kernel.DependentProduct object at 0x1175638>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring sinh_real:(real->real)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175cf8>, <kernel.DependentProduct object at 0x1175d40>) of role type named sy_c_Transcendental_Otan_001t__Complex__Ocomplex
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring tan_complex:(complex->complex)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175b48>, <kernel.DependentProduct object at 0x1175d88>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring tan_real:(real->real)
% 0.58/0.81 FOF formula (<kernel.Constant object at 0x1175758>, <kernel.DependentProduct object at 0x1175dd0>) of role type named sy_c_Transcendental_Otanh_001t__Complex__Ocomplex
% 0.58/0.81 Using role type
% 0.58/0.81 Declaring tanh_complex:(complex->complex)
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1175638>, <kernel.DependentProduct object at 0x1175e18>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring tanh_real:(real->real)
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1175758>, <kernel.DependentProduct object at 0x1175638>) of role type named sy_c_Transitive__Closure_Ortrancl_001t__Nat__Onat
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring transi2905341329935302413cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1175e18>, <kernel.DependentProduct object at 0x1175758>) of role type named sy_c_Transitive__Closure_Otrancl_001t__Nat__Onat
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring transi6264000038957366511cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x11756c8>, <kernel.DependentProduct object at 0x1175f80>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1175b48>, <kernel.DependentProduct object at 0x1175758>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1175e18>, <kernel.DependentProduct object at 0x1178050>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x11756c8>, <kernel.DependentProduct object at 0x1178050>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1175638>, <kernel.DependentProduct object at 0x1175758>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1175638>, <kernel.DependentProduct object at 0x11781b8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1175758>, <kernel.DependentProduct object at 0x11780e0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1175f80>, <kernel.DependentProduct object at 0x1178290>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178098>, <kernel.DependentProduct object at 0x1178050>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x11781b8>, <kernel.DependentProduct object at 0x1178248>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178200>, <kernel.DependentProduct object at 0x1178128>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178320>, <kernel.DependentProduct object at 0x11782d8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x11783f8>, <kernel.DependentProduct object at 0x11782d8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178050>, <kernel.DependentProduct object at 0x11783f8>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178488>, <kernel.DependentProduct object at 0x1178518>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178200>, <kernel.DependentProduct object at 0x11782d8>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178050>, <kernel.DependentProduct object at 0x1178200>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x11784d0>, <kernel.DependentProduct object at 0x1178050>) of role type named sy_c_VEBT__Insert_Ovebt__insert
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_vebt_insert:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178680>, <kernel.DependentProduct object at 0x11784d0>) of role type named sy_c_VEBT__Insert_Ovebt__insert__rel
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_vebt_insert_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x11785a8>, <kernel.DependentProduct object at 0x1178200>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178518>, <kernel.DependentProduct object at 0x1178488>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x11785a8>, <kernel.DependentProduct object at 0x1178518>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull__rel
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_V6963167321098673237ll_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178758>, <kernel.DependentProduct object at 0x11785f0>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178560>, <kernel.DependentProduct object at 0x1178758>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178488>, <kernel.DependentProduct object at 0x1178560>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178518>, <kernel.DependentProduct object at 0x11785f0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oadd
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_VEBT_add:(option_nat->(option_nat->option_nat))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x11785a8>, <kernel.DependentProduct object at 0x1178488>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ogreater
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_VEBT_greater:(option_nat->(option_nat->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x11787e8>, <kernel.DependentProduct object at 0x1178518>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oless
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_VEBT_less:(option_nat->(option_nat->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x11788c0>, <kernel.DependentProduct object at 0x11785a8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Olesseq
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_VEBT_lesseq:(option_nat->(option_nat->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178560>, <kernel.DependentProduct object at 0x11787e8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omax__in__set
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_VEBT_max_in_set:(set_nat->(nat->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x11785f0>, <kernel.DependentProduct object at 0x11788c0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omin__in__set
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_VEBT_min_in_set:(set_nat->(nat->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178488>, <kernel.DependentProduct object at 0x1178560>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omul
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_VEBT_mul:(option_nat->(option_nat->option_nat))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x11785f0>, <kernel.DependentProduct object at 0x1178ab8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Nat__Onat
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_V4262088993061758097ft_nat:((nat->(nat->nat))->(option_nat->(option_nat->option_nat)))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178560>, <kernel.DependentProduct object at 0x1178bd8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Num__Onum
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_V819420779217536731ft_num:((num->(num->num))->(option_num->(option_num->option_num)))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178ab8>, <kernel.DependentProduct object at 0x1178908>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_V1502963449132264192at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(option4927543243414619207at_nat->(option4927543243414619207at_nat->option4927543243414619207at_nat)))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178bd8>, <kernel.DependentProduct object at 0x11785a8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift__rel_001t__Nat__Onat
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_V3895251965096974666el_nat:(produc8306885398267862888on_nat->(produc8306885398267862888on_nat->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178908>, <kernel.DependentProduct object at 0x1178b48>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift__rel_001t__Num__Onum
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_V452583751252753300el_num:(produc1193250871479095198on_num->(produc1193250871479095198on_num->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x11785a8>, <kernel.DependentProduct object at 0x1178cf8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift__rel_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_V7235779383477046023at_nat:(produc5542196010084753463at_nat->(produc5542196010084753463at_nat->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178bd8>, <kernel.DependentProduct object at 0x1178b48>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Opower
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_VEBT_power:(option_nat->(option_nat->option_nat))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178200>, <kernel.DependentProduct object at 0x1178d40>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_vebt_maxt:(vEBT_VEBT->option_nat)
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178e18>, <kernel.DependentProduct object at 0x1178b48>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt__rel
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_vebt_maxt_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178cf8>, <kernel.DependentProduct object at 0x1178ef0>) of role type named sy_c_VEBT__MinMax_Ovebt__mint
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_vebt_mint:(vEBT_VEBT->option_nat)
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178e60>, <kernel.DependentProduct object at 0x1178e18>) of role type named sy_c_VEBT__MinMax_Ovebt__mint__rel
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_vebt_mint_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x11788c0>, <kernel.DependentProduct object at 0x1178cf8>) of role type named sy_c_VEBT__Pred_Ois__pred__in__set
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_is_pred_in_set:(set_nat->(nat->(nat->Prop)))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178b48>, <kernel.DependentProduct object at 0x11785a8>) of role type named sy_c_VEBT__Pred_Ovebt__pred
% 0.58/0.82 Using role type
% 0.58/0.82 Declaring vEBT_vebt_pred:(vEBT_VEBT->(nat->option_nat))
% 0.58/0.82 FOF formula (<kernel.Constant object at 0x1178f38>, <kernel.DependentProduct object at 0x117b050>) of role type named sy_c_VEBT__Pred_Ovebt__pred__rel
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring vEBT_vebt_pred_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x1178b48>, <kernel.DependentProduct object at 0x1178e18>) of role type named sy_c_Wellfounded_Oaccp_001t__List__Olist_It__Nat__Onat_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring accp_list_nat:((list_nat->(list_nat->Prop))->(list_nat->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x1178f38>, <kernel.DependentProduct object at 0x117b050>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x1178b48>, <kernel.DependentProduct object at 0x117b128>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring accp_P6019419558468335806at_nat:((produc4471711990508489141at_nat->(produc4471711990508489141at_nat->Prop))->(produc4471711990508489141at_nat->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x1178b48>, <kernel.DependentProduct object at 0x117b0e0>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring accp_P5496254298877145759on_nat:((produc8306885398267862888on_nat->(produc8306885398267862888on_nat->Prop))->(produc8306885398267862888on_nat->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x1178ef0>, <kernel.DependentProduct object at 0x117b170>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_I_062_It__Num__Onum_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring accp_P7605991808943153877on_num:((produc1193250871479095198on_num->(produc1193250871479095198on_num->Prop))->(produc1193250871479095198on_num->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b248>, <kernel.DependentProduct object at 0x117b200>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring accp_P3267385326087170368at_nat:((produc5542196010084753463at_nat->(produc5542196010084753463at_nat->Prop))->(produc5542196010084753463at_nat->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b1b8>, <kernel.DependentProduct object at 0x117b290>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b2d8>, <kernel.DependentProduct object at 0x117b368>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b200>, <kernel.DependentProduct object at 0x117b3f8>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring accp_P3113834385874906142um_num:((product_prod_num_num->(product_prod_num_num->Prop))->(product_prod_num_num->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b2d8>, <kernel.DependentProduct object at 0x117b368>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b1b8>, <kernel.DependentProduct object at 0x117b200>) of role type named sy_c_Wellfounded_Oaccp_001t__VEBT____Definitions__OVEBT
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring accp_VEBT_VEBT:((vEBT_VEBT->(vEBT_VEBT->Prop))->(vEBT_VEBT->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b2d8>, <kernel.Constant object at 0x117b368>) of role type named sy_c_Wellfounded_Ofinite__psubset_001t__Complex__Ocomplex
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring finite8643634255014194347omplex:set_Pr6308028481084910985omplex
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b4d0>, <kernel.Constant object at 0x117b3f8>) of role type named sy_c_Wellfounded_Ofinite__psubset_001t__Int__Oint
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring finite_psubset_int:set_Pr2522554150109002629et_int
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b5f0>, <kernel.Constant object at 0x117b5a8>) of role type named sy_c_Wellfounded_Ofinite__psubset_001t__Nat__Onat
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring finite_psubset_nat:set_Pr5488025237498180813et_nat
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b638>, <kernel.DependentProduct object at 0x117b368>) of role type named sy_c_Wellfounded_Omeasure_001t__Int__Oint
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring measure_int:((int->nat)->set_Pr958786334691620121nt_int)
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b680>, <kernel.DependentProduct object at 0x117b3f8>) of role type named sy_c_Wellfounded_Omeasure_001t__Nat__Onat
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring measure_nat:((nat->nat)->set_Pr1261947904930325089at_nat)
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b4d0>, <kernel.Constant object at 0x117b710>) of role type named sy_c_Wellfounded_Opred__nat
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring pred_nat:set_Pr1261947904930325089at_nat
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b5f0>, <kernel.DependentProduct object at 0x117b7a0>) of role type named sy_c_Wellfounded_Owf_001t__Nat__Onat
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring wf_nat:(set_Pr1261947904930325089at_nat->Prop)
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b050>, <kernel.DependentProduct object at 0x117b878>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring fChoice_real:((real->Prop)->real)
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b758>, <kernel.DependentProduct object at 0x117b050>) of role type named sy_c_member_001_Eo
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring member_o:(Prop->(set_o->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b680>, <kernel.DependentProduct object at 0x117b758>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring member_complex:(complex->(set_complex->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b7e8>, <kernel.DependentProduct object at 0x117b7a0>) of role type named sy_c_member_001t__Int__Oint
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring member_int:(int->(set_int->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b878>, <kernel.DependentProduct object at 0x117b050>) of role type named sy_c_member_001t__List__Olist_I_Eo_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring member_list_o:(list_o->(set_list_o->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b758>, <kernel.DependentProduct object at 0x117b7e8>) of role type named sy_c_member_001t__List__Olist_It__Int__Oint_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring member_list_int:(list_int->(set_list_int->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b5f0>, <kernel.DependentProduct object at 0x117b878>) of role type named sy_c_member_001t__List__Olist_It__Nat__Onat_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring member_list_nat:(list_nat->(set_list_nat->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b758>, <kernel.DependentProduct object at 0x117b5f0>) of role type named sy_c_member_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring member2936631157270082147T_VEBT:(list_VEBT_VEBT->(set_list_VEBT_VEBT->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b7a0>, <kernel.DependentProduct object at 0x117b878>) of role type named sy_c_member_001t__Nat__Onat
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring member_nat:(nat->(set_nat->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117ba70>, <kernel.DependentProduct object at 0x117b758>) of role type named sy_c_member_001t__Num__Onum
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring member_num:(num->(set_num->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b7a0>, <kernel.DependentProduct object at 0x117b5f0>) of role type named sy_c_member_001t__Product____Type__Oprod_I_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring member3068662437193594005nteger:(produc8763457246119570046nteger->(set_Pr8056137968301705908nteger->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b758>, <kernel.DependentProduct object at 0x117b680>) of role type named sy_c_member_001t__Product____Type__Oprod_I_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring member7034335876925520548nt_int:(produc7773217078559923341nt_int->(set_Pr1872883991513573699nt_int->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b5f0>, <kernel.DependentProduct object at 0x117bb90>) of role type named sy_c_member_001t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring member4164122664394876845nteger:(produc1908205239877642774nteger->(set_Pr1281608226676607948nteger->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b680>, <kernel.DependentProduct object at 0x117bc20>) of role type named sy_c_member_001t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring member7618704894036264090nt_int:(produc2285326912895808259nt_int->(set_Pr9222295170931077689nt_int->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117bb90>, <kernel.DependentProduct object at 0x117bd40>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring member5262025264175285858nt_int:(product_prod_int_int->(set_Pr958786334691620121nt_int->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117bc20>, <kernel.DependentProduct object at 0x117bdd0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring member8440522571783428010at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117bd40>, <kernel.DependentProduct object at 0x117b758>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Set__Oset_It__Complex__Ocomplex_J_Mt__Set__Oset_It__Complex__Ocomplex_J_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring member351165363924911826omplex:(produc8064648209034914857omplex->(set_Pr6308028481084910985omplex->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117bdd0>, <kernel.DependentProduct object at 0x117be60>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Set__Oset_It__Int__Oint_J_Mt__Set__Oset_It__Int__Oint_J_J
% 0.58/0.83 Using role type
% 0.58/0.83 Declaring member2572552093476627150et_int:(produc2115011035271226405et_int->(set_Pr2522554150109002629et_int->Prop))
% 0.58/0.83 FOF formula (<kernel.Constant object at 0x117b758>, <kernel.DependentProduct object at 0x117bef0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Set__Oset_It__Nat__Onat_J_Mt__Set__Oset_It__Nat__Onat_J_J
% 0.58/0.84 Using role type
% 0.58/0.84 Declaring member8277197624267554838et_nat:(produc7819656566062154093et_nat->(set_Pr5488025237498180813et_nat->Prop))
% 0.58/0.84 FOF formula (<kernel.Constant object at 0x117bd40>, <kernel.DependentProduct object at 0x117d050>) of role type named sy_c_member_001t__Rat__Orat
% 0.58/0.84 Using role type
% 0.58/0.84 Declaring member_rat:(rat->(set_rat->Prop))
% 0.58/0.84 FOF formula (<kernel.Constant object at 0x117b710>, <kernel.DependentProduct object at 0x117d098>) of role type named sy_c_member_001t__Real__Oreal
% 0.58/0.84 Using role type
% 0.58/0.84 Declaring member_real:(real->(set_real->Prop))
% 0.58/0.84 FOF formula (<kernel.Constant object at 0x117bf80>, <kernel.DependentProduct object at 0x117d050>) of role type named sy_c_member_001t__Set__Oset_It__Int__Oint_J
% 0.58/0.84 Using role type
% 0.58/0.84 Declaring member_set_int:(set_int->(set_set_int->Prop))
% 0.58/0.84 FOF formula (<kernel.Constant object at 0x117bef0>, <kernel.DependentProduct object at 0x117d128>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.58/0.84 Using role type
% 0.58/0.84 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.58/0.84 FOF formula (<kernel.Constant object at 0x117b5f0>, <kernel.Constant object at 0x117d098>) of role type named sy_v_deg____
% 0.58/0.84 Using role type
% 0.58/0.84 Declaring deg:nat
% 0.58/0.84 FOF formula (<kernel.Constant object at 0x117bf80>, <kernel.Constant object at 0x117d0e0>) of role type named sy_v_m____
% 0.58/0.84 Using role type
% 0.58/0.84 Declaring m:nat
% 0.58/0.84 FOF formula (<kernel.Constant object at 0x117b5f0>, <kernel.Constant object at 0x117d0e0>) of role type named sy_v_ma____
% 0.58/0.84 Using role type
% 0.58/0.84 Declaring ma:nat
% 0.58/0.84 FOF formula (<kernel.Constant object at 0x117bf80>, <kernel.Constant object at 0x117d0e0>) of role type named sy_v_mi____
% 0.58/0.84 Using role type
% 0.58/0.84 Declaring mi:nat
% 0.58/0.84 FOF formula (<kernel.Constant object at 0x117bf80>, <kernel.Constant object at 0x117d0e0>) of role type named sy_v_minilow____
% 0.58/0.84 Using role type
% 0.58/0.84 Declaring minilow:nat
% 0.58/0.84 FOF formula (<kernel.Constant object at 0x117d200>, <kernel.Constant object at 0x117d0e0>) of role type named sy_v_na____
% 0.58/0.84 Using role type
% 0.58/0.84 Declaring na:nat
% 0.58/0.84 FOF formula (<kernel.Constant object at 0x117d248>, <kernel.Constant object at 0x117d0e0>) of role type named sy_v_summary____
% 0.58/0.84 Using role type
% 0.58/0.84 Declaring summary:vEBT_VEBT
% 0.58/0.84 FOF formula (<kernel.Constant object at 0x117d290>, <kernel.Constant object at 0x117d0e0>) of role type named sy_v_treeList____
% 0.58/0.84 Using role type
% 0.58/0.84 Declaring treeList:list_VEBT_VEBT
% 0.58/0.84 FOF formula (<kernel.Constant object at 0x117d2d8>, <kernel.Constant object at 0x117d0e0>) of role type named sy_v_xa____
% 0.58/0.84 Using role type
% 0.58/0.84 Declaring xa:nat
% 0.58/0.84 FOF formula ((ord_less_eq_nat ((vEBT_VEBT_low xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))) minilow) of role axiom named fact_0__092_060open_062low_Ax_A_Ideg_Adiv_A2_J_A_092_060le_062_Aminilow_092_060close_062
% 0.58/0.84 A new axiom: ((ord_less_eq_nat ((vEBT_VEBT_low xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))) minilow)
% 0.58/0.84 FOF formula (forall (X:nat) (D:nat), (((eq nat) (((vEBT_VEBT_bit_concat ((vEBT_VEBT_high X) D)) ((vEBT_VEBT_low X) D)) D)) X)) of role axiom named fact_1_bit__split__inv
% 0.58/0.84 A new axiom: (forall (X:nat) (D:nat), (((eq nat) (((vEBT_VEBT_bit_concat ((vEBT_VEBT_high X) D)) ((vEBT_VEBT_low X) D)) D)) X))
% 0.58/0.84 FOF formula (((eq (set_nat->(nat->Prop))) vEBT_VEBT_max_in_set) (fun (Xs:set_nat) (X2:nat)=> ((and ((member_nat X2) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat Y) X2)))))) of role axiom named fact_2_max__in__set__def
% 0.58/0.84 A new axiom: (((eq (set_nat->(nat->Prop))) vEBT_VEBT_max_in_set) (fun (Xs:set_nat) (X2:nat)=> ((and ((member_nat X2) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat Y) X2))))))
% 0.58/0.84 FOF formula ((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) deg) of role axiom named fact_3__092_060open_0622_A_092_060le_062_Adeg_092_060close_062
% 0.58/0.84 A new axiom: ((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) deg)
% 0.58/0.84 FOF formula ((ord_less_nat ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))) (size_s6755466524823107622T_VEBT treeList)) of role axiom named fact_4_True
% 0.58/0.84 A new axiom: ((ord_less_nat ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))) (size_s6755466524823107622T_VEBT treeList))
% 0.58/0.84 FOF formula (((eq nat) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))) na) of role axiom named fact_5__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062
% 0.58/0.84 A new axiom: (((eq nat) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))) na)
% 0.58/0.84 FOF formula (((eq (set_nat->(nat->Prop))) vEBT_VEBT_min_in_set) (fun (Xs:set_nat) (X2:nat)=> ((and ((member_nat X2) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat X2) Y)))))) of role axiom named fact_6_min__in__set__def
% 0.58/0.84 A new axiom: (((eq (set_nat->(nat->Prop))) vEBT_VEBT_min_in_set) (fun (Xs:set_nat) (X2:nat)=> ((and ((member_nat X2) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat X2) Y))))))
% 0.58/0.84 FOF formula (not (((eq option_nat) (vEBT_vebt_mint ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))))) none_nat)) of role axiom named fact_7_False
% 0.58/0.84 A new axiom: (not (((eq option_nat) (vEBT_vebt_mint ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))))) none_nat))
% 0.58/0.84 FOF formula (forall (M:num), (not (((eq num) (bit0 M)) one))) of role axiom named fact_8_semiring__norm_I85_J
% 0.58/0.84 A new axiom: (forall (M:num), (not (((eq num) (bit0 M)) one)))
% 0.58/0.84 FOF formula (forall (N:num), (not (((eq num) one) (bit0 N)))) of role axiom named fact_9_semiring__norm_I83_J
% 0.58/0.84 A new axiom: (forall (N:num), (not (((eq num) one) (bit0 N))))
% 0.58/0.84 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_real (numeral_numeral_real M)) (numeral_numeral_real N))) ((ord_less_num M) N))) of role axiom named fact_10_numeral__less__iff
% 0.58/0.84 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_real (numeral_numeral_real M)) (numeral_numeral_real N))) ((ord_less_num M) N)))
% 0.58/0.84 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) ((ord_less_num M) N))) of role axiom named fact_11_numeral__less__iff
% 0.58/0.84 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) ((ord_less_num M) N)))
% 0.58/0.84 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) ((ord_less_num M) N))) of role axiom named fact_12_numeral__less__iff
% 0.58/0.84 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) ((ord_less_num M) N)))
% 0.58/0.84 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_int (numeral_numeral_int M)) (numeral_numeral_int N))) ((ord_less_num M) N))) of role axiom named fact_13_numeral__less__iff
% 0.58/0.84 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_int (numeral_numeral_int M)) (numeral_numeral_int N))) ((ord_less_num M) N)))
% 0.58/0.84 FOF formula (((eq option_nat) (vEBT_vebt_mint ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))))) (some_nat minilow)) of role axiom named fact_14__092_060open_062vebt__mint_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_061_ASome_Aminilow_092_060close_062
% 0.58/0.84 A new axiom: (((eq option_nat) (vEBT_vebt_mint ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))))) (some_nat minilow))
% 0.58/0.84 FOF formula (forall (N:num), (((eq nat) ((divide_divide_nat (numeral_numeral_nat (bit0 N))) (numeral_numeral_nat (bit0 one)))) (numeral_numeral_nat N))) of role axiom named fact_15_numeral__Bit0__div__2
% 0.58/0.84 A new axiom: (forall (N:num), (((eq nat) ((divide_divide_nat (numeral_numeral_nat (bit0 N))) (numeral_numeral_nat (bit0 one)))) (numeral_numeral_nat N)))
% 0.58/0.84 FOF formula (forall (N:num), (((eq int) ((divide_divide_int (numeral_numeral_int (bit0 N))) (numeral_numeral_int (bit0 one)))) (numeral_numeral_int N))) of role axiom named fact_16_numeral__Bit0__div__2
% 0.58/0.84 A new axiom: (forall (N:num), (((eq int) ((divide_divide_int (numeral_numeral_int (bit0 N))) (numeral_numeral_int (bit0 one)))) (numeral_numeral_int N)))
% 0.58/0.84 FOF formula (((eq (nat->(nat->nat))) vEBT_VEBT_high) (fun (X2:nat) (N2:nat)=> ((divide_divide_nat X2) ((power_power_nat (numeral_numeral_nat (bit0 one))) N2)))) of role axiom named fact_17_high__def
% 0.58/0.85 A new axiom: (((eq (nat->(nat->nat))) vEBT_VEBT_high) (fun (X2:nat) (N2:nat)=> ((divide_divide_nat X2) ((power_power_nat (numeral_numeral_nat (bit0 one))) N2))))
% 0.58/0.85 FOF formula (forall (T:vEBT_VEBT) (X:nat), ((vEBT_VEBT_minNull T)->(((vEBT_vebt_member T) X)->False))) of role axiom named fact_18_min__Null__member
% 0.58/0.85 A new axiom: (forall (T:vEBT_VEBT) (X:nat), ((vEBT_VEBT_minNull T)->(((vEBT_vebt_member T) X)->False)))
% 0.58/0.85 FOF formula (forall (A:complex), (((eq complex) ((divide1717551699836669952omplex A) (numera6690914467698888265omplex one))) A)) of role axiom named fact_19_divide__numeral__1
% 0.58/0.85 A new axiom: (forall (A:complex), (((eq complex) ((divide1717551699836669952omplex A) (numera6690914467698888265omplex one))) A))
% 0.58/0.85 FOF formula (forall (A:real), (((eq real) ((divide_divide_real A) (numeral_numeral_real one))) A)) of role axiom named fact_20_divide__numeral__1
% 0.58/0.85 A new axiom: (forall (A:real), (((eq real) ((divide_divide_real A) (numeral_numeral_real one))) A))
% 0.58/0.85 FOF formula (forall (A:rat), (((eq rat) ((divide_divide_rat A) (numeral_numeral_rat one))) A)) of role axiom named fact_21_divide__numeral__1
% 0.58/0.85 A new axiom: (forall (A:rat), (((eq rat) ((divide_divide_rat A) (numeral_numeral_rat one))) A))
% 0.58/0.85 <<<ghtarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,axiom,
% 0.58/0.85 ~ !>>>!!!<<< [Minilow: nat] :
% 0.58/0.85 ( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_hi>>>
% 0.58/0.85 statestack=[0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 22, 30, 36, 43, 50, 124]
% 0.67/0.85 symstack=[$end, TPTP_file_pre, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, 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LexToken(THF,'thf',1,173634), LexToken(LPAR,'(',1,173637), name, LexToken(COMMA,',',1,173881), formula_role, LexToken(COMMA,',',1,173887), unary_connective]
% 0.67/0.85 Unexpected exception Syntax error at '!':BANG
% 0.67/0.85 Traceback (most recent call last):
% 0.67/0.85 File "CASC.py", line 79, in <module>
% 0.67/0.85 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.67/0.85 File "/export/starexec/sandbox/solver/bin/TPTP.py", line 38, in __init__
% 0.67/0.85 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.67/0.85 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 265, in parse
% 0.67/0.85 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.67/0.85 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.67/0.85 tok = self.errorfunc(errtoken)
% 0.67/0.85 File "/export/starexec/sandbox/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.67/0.85 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.67/0.85 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------