TSTP Solution File: ITP265^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP265^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n031.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 17:47:52 EDT 2022
% Result : Unknown 0.77s 0.94s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ITP265^3 : TPTP v7.6.0. Released v7.6.0.
% 0.03/0.13 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 Computer : n031.cluster.edu
% 0.12/0.34 Model : x86_64 x86_64
% 0.12/0.34 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 RAMPerCPU : 8042.1875MB
% 0.12/0.34 OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Fri Mar 18 14:30:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.35 Python 2.7.5
% 0.39/0.61 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x2b5479694518>, <kernel.Type object at 0x2b5479694638>) 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
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring produc5542196010084753463at_nat:Type
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x2b5479694368>, <kernel.Type object at 0x2b5479694a70>) 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
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring produc1908205239877642774nteger:Type
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x2b5479694bd8>, <kernel.Type object at 0x2b54796945a8>) 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
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring produc5491161045314408544at_nat:Type
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x2b5479694368>, <kernel.Type object at 0x2b5479695b48>) 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
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring produc2285326912895808259nt_int:Type
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x2b5479694368>, <kernel.Type object at 0x2b54796957a0>) 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
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring produc8763457246119570046nteger:Type
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x2b5479694bd8>, <kernel.Type object at 0x2b54796958c0>) 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
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring produc7773217078559923341nt_int:Type
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x2b5479695ab8>, <kernel.Type object at 0x2b5479695680>) 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
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring produc1193250871479095198on_num:Type
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x2b5479695908>, <kernel.Type object at 0x2b5479695a70>) 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
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring produc8306885398267862888on_nat:Type
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x2b5479695d88>, <kernel.Type object at 0x2b5479695ab8>) 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
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring produc6121120109295599847at_nat:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b54796956c8>, <kernel.Type object at 0x2b5479695d40>) 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
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring produc7036089656553540234on_num:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b5479695d88>, <kernel.Type object at 0x1978e18>) 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
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring produc2233624965454879586on_nat:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b54796959e0>, <kernel.Type object at 0x1978e60>) 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
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring produc6241069584506657477e_term:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b54796959e0>, <kernel.Type object at 0x19786c8>) of role type named ty_n_t__Set__Oset_It__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring set_fi4554929511873752355omplex:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b5479695d88>, <kernel.Type object at 0x1978cb0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring list_P7413028617227757229T_VEBT:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1978b00>, <kernel.Type object at 0x1978998>) 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
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring produc8551481072490612790e_term:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1978ab8>, <kernel.Type object at 0x1978680>) 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
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring option6357759511663192854e_term:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1978d40>, <kernel.Type object at 0x1978b00>) 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
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring produc3447558737645232053on_num:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1978cf8>, <kernel.Type object at 0x1978a28>) 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
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring produc4953844613479565601on_nat:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1978d40>, <kernel.Type object at 0x1978ab8>) of role type named ty_n_t__Set__Oset_It__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring set_fi7789364187291644575l_real:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1978638>, <kernel.Type object at 0x1978cf8>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring filter6041513312241820739omplex:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1978d88>, <kernel.Type object at 0x1978d40>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring list_P7037539587688870467BT_nat:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x19789e0>, <kernel.Type object at 0x199a320>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring list_P4547456442757143711BT_int:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x19789e0>, <kernel.Type object at 0x199add0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring list_P5647936690300460905T_VEBT:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1978d88>, <kernel.Type object at 0x199a0e0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__VEBT____Definitions__OVEBT_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring list_P7524865323317820941T_VEBT:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x199ad88>, <kernel.Type object at 0x199a710>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring produc8243902056947475879T_VEBT:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x199ae18>, <kernel.Type object at 0x199a2d8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring set_Pr5085853215250843933omplex:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x199a248>, <kernel.Type object at 0x199ad88>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring produc8923325533196201883nteger:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x199a1b8>, <kernel.Type object at 0x199a098>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring list_P3126845725202233233VEBT_o:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x199a248>, <kernel.Type object at 0x199d7e8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring list_P7495141550334521929T_VEBT:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x199a248>, <kernel.Type object at 0x199d290>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring filter2146258269922977983l_real:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x199a1b8>, <kernel.Type object at 0x199def0>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring option4927543243414619207at_nat:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x199d200>, <kernel.Type object at 0x199de60>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring filter1242075044329608583at_nat:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x199df80>, <kernel.Type object at 0x199d950>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring set_Pr6218003697084177305l_real:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x199db90>, <kernel.Type object at 0x199d200>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring list_P6011104703257516679at_nat:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x199d878>, <kernel.Type object at 0x199ddd0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring list_P3521021558325789923at_int:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x199db90>, <kernel.Type object at 0x199df80>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring list_P5707943133018811711nt_int:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x199d680>, <kernel.Type object at 0x199d878>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring produc9072475918466114483BT_nat:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x199d0e0>, <kernel.Type object at 0x199db90>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring produc4894624898956917775BT_int:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x199d758>, <kernel.Type object at 0x199d680>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring produc8025551001238799321T_VEBT:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x199d638>, <kernel.Type object at 0x199d0e0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring set_Pr958786334691620121nt_int:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x199d4d0>, <kernel.Type object at 0x19985f0>) of role type named ty_n_t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring produc4411394909380815293omplex:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x199d4d0>, <kernel.Type object at 0x1998a70>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring list_P7333126701944960589_nat_o:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x199d638>, <kernel.Type object at 0x1998dd0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_M_Eo_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring list_P5087981734274514673_int_o:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1998e60>, <kernel.Type object at 0x19980e0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring list_P6285523579766656935_o_nat:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1998d40>, <kernel.Type object at 0x1b08290>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring list_P3795440434834930179_o_int:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x19980e0>, <kernel.Type object at 0x1b082d8>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring set_list_VEBT_VEBT:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x19980e0>, <kernel.Type object at 0x1b08248>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring produc334124729049499915VEBT_o:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1998e60>, <kernel.Type object at 0x1b08170>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring produc2504756804600209347T_VEBT:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1b081b8>, <kernel.Type object at 0x1b080e0>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring produc6271795597528267376eger_o:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1b08050>, <kernel.Type object at 0x1b08290>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring produc2422161461964618553l_real:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1998d40>, <kernel.Type object at 0x1b080e0>) of role type named ty_n_t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring product_prod_num_num:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1b08128>, <kernel.Type object at 0x1b083b0>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring product_prod_nat_num:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1b08368>, <kernel.Type object at 0x1b08440>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring product_prod_nat_nat:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1b081b8>, <kernel.Type object at 0x1b08488>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring product_prod_nat_int:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1b08128>, <kernel.Type object at 0x1b084d0>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring product_prod_int_int:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1b081b8>, <kernel.Type object at 0x1b08368>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring list_P4002435161011370285od_o_o:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x1b08128>, <kernel.Type object at 0x1b084d0>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Complex__Ocomplex_J_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring set_list_complex:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b08440>, <kernel.Type object at 0x1b085a8>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Complex__Ocomplex_J_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring set_set_complex:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b081b8>, <kernel.Type object at 0x1b08638>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring list_VEBT_VEBT:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b08128>, <kernel.Type object at 0x1b08680>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring set_list_nat:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b08440>, <kernel.Type object at 0x1b086c8>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Int__Oint_J_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring set_list_int:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b081b8>, <kernel.Type object at 0x1b08710>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring product_prod_nat_o:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b08128>, <kernel.Type object at 0x1b08758>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring product_prod_o_nat:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b08440>, <kernel.Type object at 0x1b087a0>) of role type named ty_n_t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring list_set_nat:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b081b8>, <kernel.Type object at 0x1b087e8>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring set_VEBT_VEBT:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b08128>, <kernel.Type object at 0x1b08830>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring set_set_nat:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b08440>, <kernel.Type object at 0x1b08878>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring set_set_int:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b081b8>, <kernel.Type object at 0x1b088c0>) of role type named ty_n_t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring set_Code_integer:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b08128>, <kernel.Type object at 0x1b08908>) of role type named ty_n_t__Set__Oset_It__Product____Type__Ounit_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring set_Product_unit:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b08440>, <kernel.Type object at 0x1b08950>) of role type named ty_n_t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring set_Extended_enat:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b081b8>, <kernel.Type object at 0x1b08998>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring list_complex:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b08128>, <kernel.Type object at 0x1b089e0>) of role type named ty_n_t__Set__Oset_It__List__Olist_I_Eo_J_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring set_list_o:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b08440>, <kernel.Type object at 0x1b08a28>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring set_complex:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b081b8>, <kernel.Type object at 0x1b08a70>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring filter_real:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b08128>, <kernel.Type object at 0x1b08ab8>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring option_num:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b08440>, <kernel.Type object at 0x1b08b00>) of role type named ty_n_t__Option__Ooption_It__Nat__Onat_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring option_nat:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b081b8>, <kernel.Type object at 0x1b08b48>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring filter_nat:Type
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x1b08128>, <kernel.Type object at 0x1b08b90>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_char:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b08440>, <kernel.Type object at 0x1b08bd8>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_real:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b08098>, <kernel.Type object at 0x1b08b90>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_real:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b081b8>, <kernel.Type object at 0x1b08c68>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b08440>, <kernel.Type object at 0x1b08cf8>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_int:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b08b48>, <kernel.Type object at 0x1b08d40>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring vEBT_VEBT:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b08098>, <kernel.Type object at 0x1b08d88>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_rat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b081b8>, <kernel.Type object at 0x1b08dd0>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_num:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b08440>, <kernel.Type object at 0x1b08e18>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b08b48>, <kernel.Type object at 0x1b08e60>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_int:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b08098>, <kernel.Type object at 0x1b08ea8>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring code_integer:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b081b8>, <kernel.Type object at 0x1b08ef0>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring extended_enat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b08b48>, <kernel.Type object at 0x1b08e60>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_o:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b08128>, <kernel.Type object at 0x1b08f80>) of role type named ty_n_t__Complex__Ocomplex
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring complex:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b08098>, <kernel.Type object at 0x1b08ea8>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_o:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b08b48>, <kernel.Type object at 0x1b08f80>) of role type named ty_n_t__String__Ochar
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring char:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b08ea8>, <kernel.Type object at 0x1984098>) of role type named ty_n_t__Real__Oreal
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring real:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b08f80>, <kernel.Type object at 0x1984098>) of role type named ty_n_t__Rat__Orat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring rat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b08fc8>, <kernel.Type object at 0x1984050>) of role type named ty_n_t__Num__Onum
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring num:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b08b48>, <kernel.Type object at 0x1984128>) of role type named ty_n_t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1b08f80>, <kernel.Type object at 0x1984170>) of role type named ty_n_t__Int__Oint
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring int:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1984050>, <kernel.DependentProduct object at 0x1984320>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring archim7802044766580827645g_real:(real->int)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1984098>, <kernel.DependentProduct object at 0x19843b0>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring archim3151403230148437115or_rat:(rat->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x19840e0>, <kernel.DependentProduct object at 0x1984440>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring archim6058952711729229775r_real:(real->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984098>, <kernel.DependentProduct object at 0x19844d0>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984440>, <kernel.DependentProduct object at 0x1984560>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring archim8280529875227126926d_real:(real->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x19841b8>, <kernel.DependentProduct object at 0x19844d0>) of role type named sy_c_Binomial_Obinomial
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring binomial:(nat->(nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984248>, <kernel.DependentProduct object at 0x19841b8>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x19845f0>, <kernel.DependentProduct object at 0x19844d0>) of role type named sy_c_Bit__Operations_Oand__not__num
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_and_not_num:(num->(num->option_num))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984680>, <kernel.DependentProduct object at 0x1984248>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984098>, <kernel.DependentProduct object at 0x1984440>) of role type named sy_c_Bit__Operations_Oor__not__num__neg
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_or_not_num_neg:(num->(num->num))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x19845f0>, <kernel.DependentProduct object at 0x1984710>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984440>, <kernel.DependentProduct object at 0x19845f0>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984710>, <kernel.DependentProduct object at 0x1984440>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x19845f0>, <kernel.DependentProduct object at 0x1984710>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984440>, <kernel.DependentProduct object at 0x19845f0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984710>, <kernel.DependentProduct object at 0x1984440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x19845f0>, <kernel.DependentProduct object at 0x1984710>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984440>, <kernel.DependentProduct object at 0x19845f0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984710>, <kernel.DependentProduct object at 0x1984440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x19845f0>, <kernel.DependentProduct object at 0x1984710>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984440>, <kernel.DependentProduct object at 0x1984638>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se2119862282449309892nteger:(nat->code_integer)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984710>, <kernel.DependentProduct object at 0x1984d88>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984638>, <kernel.DependentProduct object at 0x1984e18>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984d88>, <kernel.DependentProduct object at 0x1984638>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984e18>, <kernel.DependentProduct object at 0x1984d88>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984638>, <kernel.DependentProduct object at 0x1984e18>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984d88>, <kernel.DependentProduct object at 0x1984ea8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984e18>, <kernel.DependentProduct object at 0x1984f38>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984e18>, <kernel.DependentProduct object at 0x1987098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984e18>, <kernel.DependentProduct object at 0x1987200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1984d88>, <kernel.DependentProduct object at 0x1987290>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1987200>, <kernel.DependentProduct object at 0x1987320>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1987098>, <kernel.DependentProduct object at 0x19873b0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987248>, <kernel.DependentProduct object at 0x1987440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987128>, <kernel.DependentProduct object at 0x1987248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987440>, <kernel.DependentProduct object at 0x1987128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987248>, <kernel.DependentProduct object at 0x1987440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987128>, <kernel.DependentProduct object at 0x1987248>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987440>, <kernel.DependentProduct object at 0x1987128>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987710>, <kernel.DependentProduct object at 0x1987248>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987440>, <kernel.DependentProduct object at 0x1987710>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oand__num
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_un1837492267222099188nd_num:(num->(num->option_num))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987248>, <kernel.DependentProduct object at 0x1987440>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oxor__num
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_un6178654185764691216or_num:(num->(num->option_num))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987710>, <kernel.DependentProduct object at 0x1987248>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_un7362597486090784418nd_num:(num->(num->option_num))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987440>, <kernel.DependentProduct object at 0x1987710>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_un2480387367778600638or_num:(num->(num->option_num))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x19877e8>, <kernel.DependentProduct object at 0x1987248>) of role type named sy_c_Code__Numeral_Obit__cut__integer
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_bit_cut_integer:(code_integer->produc6271795597528267376eger_o)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x19872d8>, <kernel.DependentProduct object at 0x19877e8>) of role type named sy_c_Code__Numeral_Odivmod__abs
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_divmod_abs:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987950>, <kernel.DependentProduct object at 0x1987248>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987b00>, <kernel.DependentProduct object at 0x1987830>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_int_of_integer:(code_integer->int)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987248>, <kernel.DependentProduct object at 0x1987bd8>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_integer_of_int:(int->code_integer)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987ab8>, <kernel.DependentProduct object at 0x1987b90>) of role type named sy_c_Code__Numeral_Ointeger__of__num
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_integer_of_num:(num->code_integer)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987950>, <kernel.DependentProduct object at 0x1987c20>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_nat_of_integer:(code_integer->nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987830>, <kernel.DependentProduct object at 0x1987c68>) of role type named sy_c_Code__Numeral_Onum__of__integer
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_num_of_integer:(code_integer->num)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987b48>, <kernel.DependentProduct object at 0x1987cf8>) of role type named sy_c_Code__Target__Int_Onegative
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_Target_negative:(num->int)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987bd8>, <kernel.DependentProduct object at 0x1987d40>) of role type named sy_c_Code__Target__Int_Opositive
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_Target_positive:(num->int)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987950>, <kernel.DependentProduct object at 0x1987b48>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring comple8358262395181532106omplex:(set_fi4554929511873752355omplex->filter6041513312241820739omplex)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987bd8>, <kernel.DependentProduct object at 0x1987950>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring comple2936214249959783750l_real:(set_fi7789364187291644575l_real->filter2146258269922977983l_real)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987b48>, <kernel.DependentProduct object at 0x1987e60>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring comple4887499456419720421f_real:(set_real->real)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987950>, <kernel.DependentProduct object at 0x1987ef0>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring comple7806235888213564991et_nat:(set_set_nat->set_nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987830>, <kernel.DependentProduct object at 0x1987f80>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring complete_Sup_Sup_nat:(set_nat->nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987950>, <kernel.DependentProduct object at 0x1987fc8>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring comple1385675409528146559p_real:(set_real->real)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987f80>, <kernel.DependentProduct object at 0x198e098>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring comple7399068483239264473et_nat:(set_set_nat->set_nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987e18>, <kernel.DependentProduct object at 0x198e128>) of role type named sy_c_Complex_OArg
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring arg:(complex->real)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987950>, <kernel.DependentProduct object at 0x198e170>) of role type named sy_c_Complex_Ocis
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring cis:(real->complex)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987f80>, <kernel.DependentProduct object at 0x198e1b8>) of role type named sy_c_Complex_Ocnj
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring cnj:(complex->complex)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987e60>, <kernel.DependentProduct object at 0x198e050>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring complex2:(real->(real->complex))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987e18>, <kernel.DependentProduct object at 0x198e2d8>) of role type named sy_c_Complex_Ocomplex_OIm
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring im:(complex->real)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987e60>, <kernel.DependentProduct object at 0x198e290>) of role type named sy_c_Complex_Ocomplex_ORe
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring re:(complex->real)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1987e60>, <kernel.DependentProduct object at 0x198e128>) of role type named sy_c_Complex_Ocsqrt
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring csqrt:(complex->complex)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x198e0e0>, <kernel.Constant object at 0x198e2d8>) of role type named sy_c_Complex_Oimaginary__unit
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring imaginary_unit:complex
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x198e098>, <kernel.DependentProduct object at 0x198e050>) of role type named sy_c_Deriv_Odifferentiable_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring differ6690327859849518006l_real:((real->real)->(filter_real->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x198e0e0>, <kernel.DependentProduct object at 0x198e488>) of role type named sy_c_Deriv_Ohas__derivative_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring has_de1759254742604945161l_real:((real->real)->((real->real)->(filter_real->Prop)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x198e050>, <kernel.DependentProduct object at 0x198e440>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x198e3b0>, <kernel.DependentProduct object at 0x198e560>) of role type named sy_c_Divides_Oadjust__div
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring adjust_div:(product_prod_int_int->int)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x198e2d8>, <kernel.DependentProduct object at 0x198e050>) of role type named sy_c_Divides_Oadjust__mod
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring adjust_mod:(int->(int->int))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x198e518>, <kernel.DependentProduct object at 0x198e3b0>) of role type named sy_c_Divides_Odivmod__nat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x198e170>, <kernel.DependentProduct object at 0x198e518>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x198e2d8>, <kernel.DependentProduct object at 0x198e440>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Code____Numeral__Ointeger
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring unique5706413561485394159nteger:(produc8923325533196201883nteger->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x198e170>, <kernel.DependentProduct object at 0x198e638>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x198e440>, <kernel.DependentProduct object at 0x198e6c8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x198e638>, <kernel.DependentProduct object at 0x198e440>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x198e6c8>, <kernel.DependentProduct object at 0x198e638>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x198e440>, <kernel.DependentProduct object at 0x198e6c8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x198e638>, <kernel.DependentProduct object at 0x198e998>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring unique4921790084139445826nteger:(num->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x198e6c8>, <kernel.DependentProduct object at 0x198e638>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x198e998>, <kernel.DependentProduct object at 0x198e6c8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x198e638>, <kernel.DependentProduct object at 0x198e998>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Code____Numeral__Ointeger
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comm_s8582702949713902594nteger:(code_integer->(nat->code_integer))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x198e6c8>, <kernel.DependentProduct object at 0x198e638>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Complex__Ocomplex
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comm_s2602460028002588243omplex:(complex->(nat->complex))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x198e998>, <kernel.DependentProduct object at 0x198e6c8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comm_s4660882817536571857er_int:(int->(nat->int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x198e638>, <kernel.DependentProduct object at 0x198e998>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comm_s4663373288045622133er_nat:(nat->(nat->nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x198e6c8>, <kernel.DependentProduct object at 0x198e638>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Rat__Orat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comm_s4028243227959126397er_rat:(rat->(nat->rat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x198e998>, <kernel.DependentProduct object at 0x198e6c8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comm_s7457072308508201937r_real:(real->(nat->real))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x198e638>, <kernel.DependentProduct object at 0x198e440>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x198e6c8>, <kernel.DependentProduct object at 0x198ef38>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x198e440>, <kernel.DependentProduct object at 0x198efc8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x198ef38>, <kernel.DependentProduct object at 0x1990098>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Complex__Ocomplex
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring invers8013647133539491842omplex:(complex->complex)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x198e9e0>, <kernel.DependentProduct object at 0x1990128>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring inverse_inverse_rat:(rat->rat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x198e440>, <kernel.DependentProduct object at 0x1990170>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring inverse_inverse_real:(real->real)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x198ef38>, <kernel.Constant object at 0x1990098>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring at_bot_real:filter_real
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x198e9e0>, <kernel.Constant object at 0x1990128>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring at_top_nat:filter_nat
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x198ef38>, <kernel.Constant object at 0x1990128>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring at_top_real:filter_real
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x198e9e0>, <kernel.DependentProduct object at 0x19900e0>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x1990170>, <kernel.DependentProduct object at 0x19901b8>) of role type named sy_c_Filter_Oeventually_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring eventu1038000079068216329at_nat:((product_prod_nat_nat->Prop)->(filter1242075044329608583at_nat->Prop))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x1990098>, <kernel.DependentProduct object at 0x1990128>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x1990170>, <kernel.DependentProduct object at 0x19902d8>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x19903f8>, <kernel.DependentProduct object at 0x1990050>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x1990488>, <kernel.DependentProduct object at 0x19903b0>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x19904d0>, <kernel.DependentProduct object at 0x19901b8>) of role type named sy_c_Filter_Ofiltermap_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring filtermap_real_real:((real->real)->(filter_real->filter_real))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x1990488>, <kernel.DependentProduct object at 0x19904d0>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring princi3496590319149328850omplex:(set_Pr5085853215250843933omplex->filter6041513312241820739omplex)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x19901b8>, <kernel.DependentProduct object at 0x1990488>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring princi6114159922880469582l_real:(set_Pr6218003697084177305l_real->filter2146258269922977983l_real)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x1990440>, <kernel.DependentProduct object at 0x19904d0>) of role type named sy_c_Filter_Oprod__filter_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring prod_filter_nat_nat:(filter_nat->(filter_nat->filter1242075044329608583at_nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x1990200>, <kernel.DependentProduct object at 0x19905f0>) of role type named sy_c_Finite__Set_Ocard_001_Eo
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring finite_card_o:(set_o->nat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x19905a8>, <kernel.DependentProduct object at 0x1990440>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring finite_card_complex:(set_complex->nat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x19905f0>, <kernel.DependentProduct object at 0x19906c8>) of role type named sy_c_Finite__Set_Ocard_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_card_int:(set_int->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x19903b0>, <kernel.DependentProduct object at 0x1990710>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_card_nat:(set_nat->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x19905f0>, <kernel.DependentProduct object at 0x1990758>) of role type named sy_c_Finite__Set_Ocard_001t__Product____Type__Ounit
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite410649719033368117t_unit:(set_Product_unit->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990200>, <kernel.DependentProduct object at 0x19907e8>) of role type named sy_c_Finite__Set_Ocard_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_card_set_nat:(set_set_nat->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x19906c8>, <kernel.DependentProduct object at 0x1990830>) of role type named sy_c_Finite__Set_Ocard_001t__String__Ochar
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_card_char:(set_char->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990638>, <kernel.DependentProduct object at 0x1990878>) of role type named sy_c_Finite__Set_Ofinite_001_Eo
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_finite_o:(set_o->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990200>, <kernel.DependentProduct object at 0x19905f0>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990830>, <kernel.DependentProduct object at 0x1990908>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_finite_int:(set_int->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990638>, <kernel.DependentProduct object at 0x1990950>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_I_Eo_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_finite_list_o:(set_list_o->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990830>, <kernel.DependentProduct object at 0x1990998>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Complex__Ocomplex_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite8712137658972009173omplex:(set_list_complex->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990950>, <kernel.DependentProduct object at 0x1990a28>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Int__Oint_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite3922522038869484883st_int:(set_list_int->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990998>, <kernel.DependentProduct object at 0x1990ab8>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Nat__Onat_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite8100373058378681591st_nat:(set_list_nat->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990a28>, <kernel.DependentProduct object at 0x1990b48>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite3004134309566078307T_VEBT:(set_list_VEBT_VEBT->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990998>, <kernel.DependentProduct object at 0x1990bd8>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_finite_nat:(set_nat->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990ab8>, <kernel.DependentProduct object at 0x1990c20>) of role type named sy_c_Finite__Set_Ofinite_001t__Num__Onum
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_finite_num:(set_num->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990a28>, <kernel.DependentProduct object at 0x1990c68>) of role type named sy_c_Finite__Set_Ofinite_001t__Rat__Orat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_finite_rat:(set_rat->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990998>, <kernel.DependentProduct object at 0x1990cb0>) of role type named sy_c_Finite__Set_Ofinite_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_finite_real:(set_real->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990a28>, <kernel.DependentProduct object at 0x1990cf8>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite6551019134538273531omplex:(set_set_complex->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990cb0>, <kernel.DependentProduct object at 0x1990d88>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Int__Oint_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite6197958912794628473et_int:(set_set_int->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990cf8>, <kernel.DependentProduct object at 0x1990e18>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite1152437895449049373et_nat:(set_set_nat->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990d88>, <kernel.DependentProduct object at 0x1990ea8>) of role type named sy_c_Finite__Set_Ofinite_001t__VEBT____Definitions__OVEBT
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite5795047828879050333T_VEBT:(set_VEBT_VEBT->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990e18>, <kernel.DependentProduct object at 0x1990cf8>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990fc8>, <kernel.DependentProduct object at 0x1990e60>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990ef0>, <kernel.DependentProduct object at 0x1990d88>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990fc8>, <kernel.DependentProduct object at 0x1990cf8>) of role type named sy_c_Fun_Ocomp_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring comp_C8797469213163452608nteger:(((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->(code_integer->code_integer))->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990fc8>, <kernel.DependentProduct object at 0x1b12098>) of role type named sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring comp_C1593894019821074884nteger:((code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->code_integer)->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990cf8>, <kernel.DependentProduct object at 0x1b121b8>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Int__Oint_001t__Num__Onum
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring comp_int_int_num:((int->int)->((num->int)->(num->int)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990e60>, <kernel.DependentProduct object at 0x1b12320>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring comp_nat_nat_nat:((nat->nat)->((nat->nat)->(nat->nat)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990cf8>, <kernel.DependentProduct object at 0x1b12290>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Real__Oreal_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring comp_nat_real_nat:((nat->real)->((nat->nat)->(nat->real)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1990fc8>, <kernel.DependentProduct object at 0x1b120e0>) of role type named sy_c_Fun_Oid_001_Eo
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring id_o:(Prop->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x1b12290>, <kernel.DependentProduct object at 0x1b12128>) of role type named sy_c_Fun_Oid_001t__Nat__Onat
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring id_nat:(nat->nat)
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b121b8>, <kernel.DependentProduct object at 0x1b12128>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Nat__Onat
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring inj_on_nat_nat:((nat->nat)->(set_nat->Prop))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12290>, <kernel.DependentProduct object at 0x1b122d8>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__String__Ochar
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring inj_on_nat_char:((nat->char)->(set_nat->Prop))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12128>, <kernel.DependentProduct object at 0x1b12248>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Real__Oreal
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring inj_on_real_real:((real->real)->(set_real->Prop))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12290>, <kernel.DependentProduct object at 0x1b12098>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001_062_It__Int__Oint_M_Eo_J
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring map_fu434086159418415080_int_o:((int->product_prod_nat_nat)->(((product_prod_nat_nat->Prop)->(int->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(int->(int->Prop)))))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12248>, <kernel.DependentProduct object at 0x1b120e0>) 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
% 0.51/0.68 Using role type
% 0.51/0.68 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)))))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12098>, <kernel.DependentProduct object at 0x1b12248>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo_001_Eo
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring map_fu4826362097070443709at_o_o:((int->product_prod_nat_nat)->((Prop->Prop)->((product_prod_nat_nat->Prop)->(int->Prop))))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b120e0>, <kernel.DependentProduct object at 0x1b126c8>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Nat__Onat
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring map_fu2345160673673942751at_nat:((int->product_prod_nat_nat)->((nat->nat)->((product_prod_nat_nat->nat)->(int->nat))))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12248>, <kernel.DependentProduct object at 0x1b127a0>) 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
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring map_fu3667384564859982768at_int:((int->product_prod_nat_nat)->((product_prod_nat_nat->int)->((product_prod_nat_nat->product_prod_nat_nat)->(int->int))))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b126c8>, <kernel.DependentProduct object at 0x1b12638>) of role type named sy_c_Fun_Ostrict__mono__on_001t__Nat__Onat_001t__Nat__Onat
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring strict1292158309912662752at_nat:((nat->nat)->(set_nat->Prop))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b127a0>, <kernel.DependentProduct object at 0x1b12128>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b127e8>, <kernel.DependentProduct object at 0x1b128c0>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Int__Oint
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring gcd_Gcd_int:(set_int->int)
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12680>, <kernel.DependentProduct object at 0x1b12878>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Nat__Onat
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring gcd_Gcd_nat:(set_nat->nat)
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12710>, <kernel.DependentProduct object at 0x1b127e8>) of role type named sy_c_GCD_Obezw
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring bezw:(nat->(nat->product_prod_int_int))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12830>, <kernel.DependentProduct object at 0x1b12680>) of role type named sy_c_GCD_Obezw__rel
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring bezw_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12638>, <kernel.DependentProduct object at 0x1b12710>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Code____Numeral__Ointeger
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring gcd_gcd_Code_integer:(code_integer->(code_integer->code_integer))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12908>, <kernel.DependentProduct object at 0x1b12830>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Int__Oint
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring gcd_gcd_int:(int->(int->int))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12998>, <kernel.DependentProduct object at 0x1b12638>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Nat__Onat
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring gcd_gcd_nat:(nat->(nat->nat))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12878>, <kernel.DependentProduct object at 0x1b12908>) of role type named sy_c_GCD_Ogcd__nat__rel
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring gcd_nat_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b128c0>, <kernel.DependentProduct object at 0x1b12950>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12830>, <kernel.DependentProduct object at 0x1b12ab8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring abs_abs_complex:(complex->complex)
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12a70>, <kernel.DependentProduct object at 0x1b12b00>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring abs_abs_int:(int->int)
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12908>, <kernel.DependentProduct object at 0x1b12b48>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring abs_abs_rat:(rat->rat)
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12950>, <kernel.DependentProduct object at 0x1b12b90>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring abs_abs_real:(real->real)
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12908>, <kernel.DependentProduct object at 0x1b12c20>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring minus_8727706125548526216plex_o:((complex->Prop)->((complex->Prop)->(complex->Prop)))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12bd8>, <kernel.DependentProduct object at 0x1b12c68>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Int__Oint_M_Eo_J
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring minus_minus_int_o:((int->Prop)->((int->Prop)->(int->Prop)))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12cb0>, <kernel.DependentProduct object at 0x1b12d40>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Nat__Onat_M_Eo_J
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring minus_minus_nat_o:((nat->Prop)->((nat->Prop)->(nat->Prop)))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12bd8>, <kernel.DependentProduct object at 0x1b12d88>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring minus_711738161318947805_int_o:((product_prod_int_int->Prop)->((product_prod_int_int->Prop)->(product_prod_int_int->Prop)))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12c68>, <kernel.DependentProduct object at 0x1b12cf8>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Real__Oreal_M_Eo_J
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring minus_minus_real_o:((real->Prop)->((real->Prop)->(real->Prop)))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1b12bd8>, <kernel.DependentProduct object at 0x1b12e60>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring minus_6910147592129066416_nat_o:((set_nat->Prop)->((set_nat->Prop)->(set_nat->Prop)))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b12cf8>, <kernel.DependentProduct object at 0x1b12bd8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring minus_8373710615458151222nteger:(code_integer->(code_integer->code_integer))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b12ea8>, <kernel.DependentProduct object at 0x1b12e60>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b12cf8>, <kernel.DependentProduct object at 0x1b12ea8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Extended____Nat__Oenat
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring minus_3235023915231533773d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b12f38>, <kernel.DependentProduct object at 0x1b12e60>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring minus_minus_int:(int->(int->int))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b12d88>, <kernel.DependentProduct object at 0x1b12cf8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b12e60>, <kernel.DependentProduct object at 0x1b12ea8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring minus_minus_rat:(rat->(rat->rat))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b12cf8>, <kernel.DependentProduct object at 0x1b12fc8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring minus_minus_real:(real->(real->real))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b12e60>, <kernel.DependentProduct object at 0x1b12ea8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b12cf8>, <kernel.DependentProduct object at 0x1b17170>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b12e60>, <kernel.DependentProduct object at 0x1b17248>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b12cf8>, <kernel.DependentProduct object at 0x1b17248>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring minus_1052850069191792384nt_int:(set_Pr958786334691620121nt_int->(set_Pr958786334691620121nt_int->set_Pr958786334691620121nt_int))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b12e60>, <kernel.DependentProduct object at 0x1b17098>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b17050>, <kernel.DependentProduct object at 0x1b17368>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring minus_2163939370556025621et_nat:(set_set_nat->(set_set_nat->set_set_nat))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b12ea8>, <kernel.Constant object at 0x1b17368>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring one_one_Code_integer:code_integer
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b17290>, <kernel.Constant object at 0x1b17368>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring one_one_complex:complex
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b17050>, <kernel.Constant object at 0x1b17200>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b17248>, <kernel.Constant object at 0x1b17200>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring one_one_int:int
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b173f8>, <kernel.Constant object at 0x1b17200>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring one_one_nat:nat
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b17440>, <kernel.Constant object at 0x1b17200>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring one_one_rat:rat
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b17488>, <kernel.Constant object at 0x1b17200>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring one_one_real:real
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b17440>, <kernel.DependentProduct object at 0x1b17488>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b175f0>, <kernel.DependentProduct object at 0x1b17200>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b17440>, <kernel.DependentProduct object at 0x1b175f0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b176c8>, <kernel.DependentProduct object at 0x1b17200>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring plus_plus_int:(int->(int->int))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b174d0>, <kernel.DependentProduct object at 0x1b17440>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b177a0>, <kernel.DependentProduct object at 0x1b176c8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring plus_plus_num:(num->(num->num))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b17488>, <kernel.DependentProduct object at 0x1b174d0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b17680>, <kernel.DependentProduct object at 0x1b177a0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring plus_plus_real:(real->(real->real))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b175f0>, <kernel.DependentProduct object at 0x1b17200>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b176c8>, <kernel.DependentProduct object at 0x1b17440>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring sgn_sgn_complex:(complex->complex)
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b174d0>, <kernel.DependentProduct object at 0x1b17950>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring sgn_sgn_int:(int->int)
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b177a0>, <kernel.DependentProduct object at 0x1b17998>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring sgn_sgn_rat:(rat->rat)
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1b17200>, <kernel.DependentProduct object at 0x1b179e0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring sgn_sgn_real:(real->real)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b177a0>, <kernel.DependentProduct object at 0x1b17200>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17a28>, <kernel.DependentProduct object at 0x1b179e0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring times_times_complex:(complex->(complex->complex))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b177a0>, <kernel.DependentProduct object at 0x1b17a28>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17b00>, <kernel.DependentProduct object at 0x1b179e0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring times_times_int:(int->(int->int))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17440>, <kernel.DependentProduct object at 0x1b177a0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring times_times_nat:(nat->(nat->nat))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17bd8>, <kernel.DependentProduct object at 0x1b17b00>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring times_times_num:(num->(num->num))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17200>, <kernel.DependentProduct object at 0x1b17440>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring times_times_rat:(rat->(rat->rat))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17ab8>, <kernel.DependentProduct object at 0x1b17bd8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring times_times_real:(real->(real->real))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17200>, <kernel.DependentProduct object at 0x1b179e0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17bd8>, <kernel.DependentProduct object at 0x1b17d88>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17a28>, <kernel.DependentProduct object at 0x1b17e18>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring uminus_uminus_int:(int->int)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17d40>, <kernel.DependentProduct object at 0x1b17e60>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring uminus_uminus_rat:(rat->rat)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b177a0>, <kernel.DependentProduct object at 0x1b17ea8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring uminus_uminus_real:(real->real)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17d40>, <kernel.DependentProduct object at 0x1b17ef0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Int__Oint_J
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring uminus1532241313380277803et_int:(set_int->set_int)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17ea8>, <kernel.DependentProduct object at 0x1b17f80>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17ef0>, <kernel.DependentProduct object at 0x1b1a050>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Real__Oreal_J
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring uminus612125837232591019t_real:(set_real->set_real)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17f80>, <kernel.Constant object at 0x1b17fc8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring zero_z3403309356797280102nteger:code_integer
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17ea8>, <kernel.Constant object at 0x1b17d88>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring zero_zero_complex:complex
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17d88>, <kernel.Constant object at 0x1b1a098>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17ea8>, <kernel.Constant object at 0x1b1a0e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring zero_zero_int:int
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17d88>, <kernel.Constant object at 0x1b1a0e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring zero_zero_nat:nat
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17ea8>, <kernel.Constant object at 0x1b1a0e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring zero_zero_rat:rat
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b17ea8>, <kernel.Constant object at 0x1b1a0e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring zero_zero_real:real
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b1a200>, <kernel.DependentProduct object at 0x1b1a248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring groups6621422865394947399nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b1a0e0>, <kernel.DependentProduct object at 0x1b1a170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b1a248>, <kernel.DependentProduct object at 0x1b1a200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b1a170>, <kernel.DependentProduct object at 0x1b1a0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b1a200>, <kernel.DependentProduct object at 0x1b1a248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring groups5058264527183730370ex_rat:((complex->rat)->(set_complex->rat))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b1a0e0>, <kernel.DependentProduct object at 0x1b1a170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b1a248>, <kernel.DependentProduct object at 0x1b1a200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring groups7873554091576472773nteger:((int->code_integer)->(set_int->code_integer))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b1a170>, <kernel.DependentProduct object at 0x1b1a0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Complex__Ocomplex
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring groups3049146728041665814omplex:((int->complex)->(set_int->complex))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x1b1a200>, <kernel.DependentProduct object at 0x1b1a248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1a0e0>, <kernel.DependentProduct object at 0x1b1a170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1a248>, <kernel.DependentProduct object at 0x1b1a200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Rat__Orat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups3906332499630173760nt_rat:((int->rat)->(set_int->rat))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1a170>, <kernel.DependentProduct object at 0x1b1a0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1a200>, <kernel.DependentProduct object at 0x1b1a248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups7501900531339628137nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1a0e0>, <kernel.DependentProduct object at 0x1b1a170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1a248>, <kernel.DependentProduct object at 0x1b1a200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1a170>, <kernel.DependentProduct object at 0x1b1a0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1a200>, <kernel.DependentProduct object at 0x1b1a248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Rat__Orat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups2906978787729119204at_rat:((nat->rat)->(set_nat->rat))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1a0e0>, <kernel.DependentProduct object at 0x1b1a170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1a248>, <kernel.DependentProduct object at 0x1b1a200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups7713935264441627589nteger:((real->code_integer)->(set_real->code_integer))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1a170>, <kernel.DependentProduct object at 0x1b1a0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups5754745047067104278omplex:((real->complex)->(set_real->complex))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1a200>, <kernel.DependentProduct object at 0x1b1a248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Int__Oint
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups1932886352136224148al_int:((real->int)->(set_real->int))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1a0e0>, <kernel.DependentProduct object at 0x1b1a170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1a248>, <kernel.DependentProduct object at 0x1b1a200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Rat__Orat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups1300246762558778688al_rat:((real->rat)->(set_real->rat))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1a170>, <kernel.DependentProduct object at 0x1b1a0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1a200>, <kernel.DependentProduct object at 0x1b1a170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Complex__Ocomplex
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups8255218700646806128omplex:((set_nat->complex)->(set_set_nat->complex))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1a200>, <kernel.DependentProduct object at 0x1b1e050>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups8294997508430121362at_nat:((set_nat->nat)->(set_set_nat->nat))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1a200>, <kernel.DependentProduct object at 0x1b1e170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Real__Oreal
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups5107569545109728110t_real:((set_nat->real)->(set_set_nat->real))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1a290>, <kernel.DependentProduct object at 0x1b1e1b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups3708469109370488835omplex:((complex->complex)->(set_complex->complex))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1e248>, <kernel.DependentProduct object at 0x1b1e290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Int__Oint
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups858564598930262913ex_int:((complex->int)->(set_complex->int))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1e320>, <kernel.DependentProduct object at 0x1b1e200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups861055069439313189ex_nat:((complex->nat)->(set_complex->nat))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1e2d8>, <kernel.DependentProduct object at 0x1b1e248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups225925009352817453ex_rat:((complex->rat)->(set_complex->rat))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1e3b0>, <kernel.DependentProduct object at 0x1b1e440>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups766887009212190081x_real:((complex->real)->(set_complex->real))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1e2d8>, <kernel.DependentProduct object at 0x1b1e320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Complex__Ocomplex
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups7440179247065528705omplex:((int->complex)->(set_int->complex))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1e440>, <kernel.DependentProduct object at 0x1b1e3b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1e320>, <kernel.DependentProduct object at 0x1b1e2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups1707563613775114915nt_nat:((int->nat)->(set_int->nat))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1e3b0>, <kernel.DependentProduct object at 0x1b1e440>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Rat__Orat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring groups1072433553688619179nt_rat:((int->rat)->(set_int->rat))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x1b1e2d8>, <kernel.DependentProduct object at 0x1b1e320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Real__Oreal
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring groups2316167850115554303t_real:((int->real)->(set_int->real))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1e440>, <kernel.DependentProduct object at 0x1b1e3b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring groups6464643781859351333omplex:((nat->complex)->(set_nat->complex))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1e320>, <kernel.DependentProduct object at 0x1b1e2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1e3b0>, <kernel.DependentProduct object at 0x1b1e440>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1e2d8>, <kernel.DependentProduct object at 0x1b1e320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Rat__Orat
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring groups73079841787564623at_rat:((nat->rat)->(set_nat->rat))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1e440>, <kernel.DependentProduct object at 0x1b1e3b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Real__Oreal
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring groups129246275422532515t_real:((nat->real)->(set_nat->real))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1e320>, <kernel.DependentProduct object at 0x1b1e2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring groups713298508707869441omplex:((real->complex)->(set_real->complex))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1e3b0>, <kernel.DependentProduct object at 0x1b1e440>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Rat__Orat
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring groups4061424788464935467al_rat:((real->rat)->(set_real->rat))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1e2d8>, <kernel.DependentProduct object at 0x1b1e320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Real__Oreal
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring groups1681761925125756287l_real:((real->real)->(set_real->real))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1e440>, <kernel.DependentProduct object at 0x1b1e2d8>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Int__Oint
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring groups9116527308978886569_o_int:((Prop->int)->(int->(list_o->int)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1e368>, <kernel.DependentProduct object at 0x1b1edd0>) of role type named sy_c_HOL_OThe_001t__Int__Oint
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring the_int:((int->Prop)->int)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1ed40>, <kernel.DependentProduct object at 0x1b1ecf8>) of role type named sy_c_HOL_OThe_001t__Real__Oreal
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring the_real:((real->Prop)->real)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1e0e0>, <kernel.DependentProduct object at 0x1b1ed40>) of role type named sy_c_If_001t__Code____Numeral__Ointeger
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring if_Code_integer:(Prop->(code_integer->(code_integer->code_integer)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1ed88>, <kernel.DependentProduct object at 0x1b1ecf8>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1eea8>, <kernel.DependentProduct object at 0x1b1ed88>) of role type named sy_c_If_001t__Extended____Nat__Oenat
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring if_Extended_enat:(Prop->(extended_enat->(extended_enat->extended_enat)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1eef0>, <kernel.DependentProduct object at 0x1b1ed88>) of role type named sy_c_If_001t__Int__Oint
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring if_int:(Prop->(int->(int->int)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1ee60>, <kernel.DependentProduct object at 0x1b1ed88>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1efc8>, <kernel.DependentProduct object at 0x1b1ed88>) of role type named sy_c_If_001t__Nat__Onat
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1e368>, <kernel.DependentProduct object at 0x1b1ed88>) of role type named sy_c_If_001t__Num__Onum
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring if_num:(Prop->(num->(num->num)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1ed40>, <kernel.DependentProduct object at 0x1b1ed88>) of role type named sy_c_If_001t__Option__Ooption_It__Nat__Onat_J
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring if_option_nat:(Prop->(option_nat->(option_nat->option_nat)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1efc8>, <kernel.DependentProduct object at 0x1b1ed88>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1ed40>, <kernel.DependentProduct object at 0x1b1efc8>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring if_Pro5737122678794959658eger_o:(Prop->(produc6271795597528267376eger_o->(produc6271795597528267376eger_o->produc6271795597528267376eger_o)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1ed40>, <kernel.DependentProduct object at 0x1b20128>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1ed40>, <kernel.DependentProduct object at 0x1b20128>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1ed40>, <kernel.DependentProduct object at 0x1b20170>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1ecf8>, <kernel.DependentProduct object at 0x1b20170>) of role type named sy_c_If_001t__Rat__Orat
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1ed40>, <kernel.DependentProduct object at 0x1b20170>) of role type named sy_c_If_001t__Real__Oreal
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring if_real:(Prop->(real->(real->real)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b1ed40>, <kernel.DependentProduct object at 0x1b20170>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b20440>, <kernel.DependentProduct object at 0x1b20170>) of role type named sy_c_If_001t__Set__Oset_It__Nat__Onat_J
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring if_set_nat:(Prop->(set_nat->(set_nat->set_nat)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b20488>, <kernel.DependentProduct object at 0x1b20170>) of role type named sy_c_If_001t__VEBT____Definitions__OVEBT
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring if_VEBT_VEBT:(Prop->(vEBT_VEBT->(vEBT_VEBT->vEBT_VEBT)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b204d0>, <kernel.DependentProduct object at 0x1b20518>) of role type named sy_c_Int_OAbs__Integ
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring abs_Integ:(product_prod_nat_nat->int)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x1b200e0>, <kernel.DependentProduct object at 0x1b20320>) of role type named sy_c_Int_ORep__Integ
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring rep_Integ:(int->product_prod_nat_nat)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b201b8>, <kernel.DependentProduct object at 0x1b200e0>) of role type named sy_c_Int_Oint__ge__less__than
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring int_ge_less_than:(int->set_Pr958786334691620121nt_int)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b203f8>, <kernel.DependentProduct object at 0x1b20320>) of role type named sy_c_Int_Oint__ge__less__than2
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring int_ge_less_than2:(int->set_Pr958786334691620121nt_int)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20440>, <kernel.DependentProduct object at 0x1b20560>) of role type named sy_c_Int_Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring nat2:(int->nat)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20320>, <kernel.DependentProduct object at 0x1b201b8>) of role type named sy_c_Int_Opower__int_001t__Real__Oreal
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring power_int_real:(real->(int->real))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b205f0>, <kernel.Constant object at 0x1b201b8>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Complex__Ocomplex
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring ring_1_Ints_complex:set_complex
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20560>, <kernel.Constant object at 0x1b201b8>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Real__Oreal
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring ring_1_Ints_real:set_real
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b205f0>, <kernel.DependentProduct object at 0x1b206c8>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b201b8>, <kernel.DependentProduct object at 0x1b20758>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b205a8>, <kernel.DependentProduct object at 0x1b207e8>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring ring_1_of_int_int:(int->int)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20170>, <kernel.DependentProduct object at 0x1b20830>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Rat__Orat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring ring_1_of_int_rat:(int->rat)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20710>, <kernel.DependentProduct object at 0x1b20878>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring ring_1_of_int_real:(int->real)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20170>, <kernel.DependentProduct object at 0x1b208c0>) of role type named sy_c_Lattices_Osemilattice__neutr__order_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring semila1623282765462674594er_nat:((nat->(nat->nat))->(nat->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20878>, <kernel.DependentProduct object at 0x1b20170>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Extended____Nat__Oenat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring sup_su3973961784419623482d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20998>, <kernel.DependentProduct object at 0x1b208c0>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring sup_sup_nat:(nat->(nat->nat))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20908>, <kernel.DependentProduct object at 0x1b20878>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring sup_sup_set_nat:(set_nat->(set_nat->set_nat))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20998>, <kernel.DependentProduct object at 0x1b20950>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Int__Oint
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring lattic8263393255366662781ax_int:(set_int->int)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20878>, <kernel.DependentProduct object at 0x1b20b00>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20758>, <kernel.DependentProduct object at 0x1b20a70>) of role type named sy_c_Limits_OBfun_001t__Nat__Onat_001t__Real__Oreal
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring bfun_nat_real:((nat->real)->(filter_nat->Prop))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20518>, <kernel.DependentProduct object at 0x1b20758>) of role type named sy_c_List_Oappend_001t__Int__Oint
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring append_int:(list_int->(list_int->list_int))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20b00>, <kernel.DependentProduct object at 0x1b20a70>) of role type named sy_c_List_Oappend_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring append_nat:(list_nat->(list_nat->list_nat))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20c20>, <kernel.DependentProduct object at 0x1b20cf8>) of role type named sy_c_List_Odistinct_001t__Int__Oint
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring distinct_int:(list_int->Prop)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20878>, <kernel.DependentProduct object at 0x1b20b90>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20518>, <kernel.DependentProduct object at 0x1b20c20>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring cons_int:(int->(list_int->list_int))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20d40>, <kernel.DependentProduct object at 0x1b20878>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20d88>, <kernel.Constant object at 0x1b20878>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring nil_int:list_int
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20c20>, <kernel.Constant object at 0x1b20878>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring nil_nat:list_nat
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20b00>, <kernel.DependentProduct object at 0x1b20e60>) of role type named sy_c_List_Olist_Oset_001_Eo
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring set_o2:(list_o->set_o)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20b90>, <kernel.DependentProduct object at 0x1b20ea8>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring set_complex2:(list_complex->set_complex)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20e18>, <kernel.DependentProduct object at 0x1b20ef0>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring set_int2:(list_int->set_int)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20878>, <kernel.DependentProduct object at 0x1b20f38>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring set_nat2:(list_nat->set_nat)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20e60>, <kernel.DependentProduct object at 0x1b20f80>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring set_real2:(list_real->set_real)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20ea8>, <kernel.DependentProduct object at 0x1b20fc8>) of role type named sy_c_List_Olist_Oset_001t__Set__Oset_It__Nat__Onat_J
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring set_set_nat2:(list_set_nat->set_set_nat)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20ef0>, <kernel.DependentProduct object at 0x1b23050>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20f38>, <kernel.DependentProduct object at 0x1b20fc8>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20c68>, <kernel.DependentProduct object at 0x1b23128>) of role type named sy_c_List_Olist__update_001_Eo
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring list_update_o:(list_o->(nat->(Prop->list_o)))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x1b20e60>, <kernel.DependentProduct object at 0x1b23170>) of role type named sy_c_List_Olist__update_001t__Complex__Ocomplex
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring list_update_complex:(list_complex->(nat->(complex->list_complex)))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x1b20878>, <kernel.DependentProduct object at 0x1b23098>) of role type named sy_c_List_Olist__update_001t__Int__Oint
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring list_update_int:(list_int->(nat->(int->list_int)))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x1b20fc8>, <kernel.DependentProduct object at 0x1b23170>) of role type named sy_c_List_Olist__update_001t__Nat__Onat
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring list_update_nat:(list_nat->(nat->(nat->list_nat)))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x1b20e60>, <kernel.DependentProduct object at 0x1b23098>) of role type named sy_c_List_Olist__update_001t__Real__Oreal
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring list_update_real:(list_real->(nat->(real->list_real)))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x1b20fc8>, <kernel.DependentProduct object at 0x1b23128>) of role type named sy_c_List_Olist__update_001t__Set__Oset_It__Nat__Onat_J
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring list_update_set_nat:(list_set_nat->(nat->(set_nat->list_set_nat)))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x1b23320>, <kernel.DependentProduct object at 0x1b23248>) of role type named sy_c_List_Olist__update_001t__VEBT____Definitions__OVEBT
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring list_u1324408373059187874T_VEBT:(list_VEBT_VEBT->(nat->(vEBT_VEBT->list_VEBT_VEBT)))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x1b20e60>, <kernel.DependentProduct object at 0x1b23098>) of role type named sy_c_List_Onth_001_Eo
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring nth_o:(list_o->(nat->Prop))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x1b232d8>, <kernel.DependentProduct object at 0x1b23368>) of role type named sy_c_List_Onth_001t__Complex__Ocomplex
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring nth_complex:(list_complex->(nat->complex))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x1b23128>, <kernel.DependentProduct object at 0x1b232d8>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring nth_int:(list_int->(nat->int))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x1b233b0>, <kernel.DependentProduct object at 0x1b23368>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring nth_nat:(list_nat->(nat->nat))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x1b23320>, <kernel.DependentProduct object at 0x1b23128>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring nth_Pr5826913651314560976_o_nat:(list_P6285523579766656935_o_nat->(nat->product_prod_o_nat))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x1b233b0>, <kernel.DependentProduct object at 0x1b23320>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring nth_Pr6777367263587873994T_VEBT:(list_P7495141550334521929T_VEBT->(nat->produc2504756804600209347T_VEBT))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x1b23128>, <kernel.DependentProduct object at 0x1b233b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring nth_Pr112076138515278198_nat_o:(list_P7333126701944960589_nat_o->(nat->product_prod_nat_o))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x1b23320>, <kernel.DependentProduct object at 0x1b23128>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring nth_Pr3440142176431000676at_int:(list_P3521021558325789923at_int->(nat->product_prod_nat_int))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x1b233b0>, <kernel.DependentProduct object at 0x1b23320>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring nth_Pr7617993195940197384at_nat:(list_P6011104703257516679at_nat->(nat->product_prod_nat_nat))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x1b23128>, <kernel.DependentProduct object at 0x1b233b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J
% 0.51/0.74 Using role type
% 0.58/0.74 Declaring nth_Pr744662078594809490T_VEBT:(list_P5647936690300460905T_VEBT->(nat->produc8025551001238799321T_VEBT))
% 0.58/0.74 FOF formula (<kernel.Constant object at 0x1b23320>, <kernel.DependentProduct object at 0x1b23128>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.58/0.74 Using role type
% 0.58/0.74 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.58/0.74 FOF formula (<kernel.Constant object at 0x1b233b0>, <kernel.DependentProduct object at 0x1b23320>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.58/0.74 Using role type
% 0.58/0.74 Declaring nth_Pr6837108013167703752BT_int:(list_P4547456442757143711BT_int->(nat->produc4894624898956917775BT_int))
% 0.58/0.74 FOF formula (<kernel.Constant object at 0x1b23128>, <kernel.DependentProduct object at 0x1b233b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.58/0.74 Using role type
% 0.58/0.74 Declaring nth_Pr1791586995822124652BT_nat:(list_P7037539587688870467BT_nat->(nat->produc9072475918466114483BT_nat))
% 0.58/0.74 FOF formula (<kernel.Constant object at 0x1b23320>, <kernel.DependentProduct object at 0x1b23128>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.58/0.74 Using role type
% 0.58/0.74 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.58/0.74 FOF formula (<kernel.Constant object at 0x1b23050>, <kernel.DependentProduct object at 0x1b23320>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.58/0.74 Using role type
% 0.58/0.74 Declaring nth_real:(list_real->(nat->real))
% 0.58/0.74 FOF formula (<kernel.Constant object at 0x1b23a28>, <kernel.DependentProduct object at 0x1b233b0>) of role type named sy_c_List_Onth_001t__Set__Oset_It__Nat__Onat_J
% 0.58/0.74 Using role type
% 0.58/0.74 Declaring nth_set_nat:(list_set_nat->(nat->set_nat))
% 0.58/0.74 FOF formula (<kernel.Constant object at 0x1b23ab8>, <kernel.DependentProduct object at 0x1b23128>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.58/0.74 Using role type
% 0.58/0.74 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.58/0.74 FOF formula (<kernel.Constant object at 0x1b23998>, <kernel.DependentProduct object at 0x1b23ab8>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.58/0.74 Using role type
% 0.58/0.74 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.58/0.74 FOF formula (<kernel.Constant object at 0x1b23b48>, <kernel.DependentProduct object at 0x1b23a28>) of role type named sy_c_List_Oproduct_001_Eo_001t__Int__Oint
% 0.58/0.74 Using role type
% 0.58/0.74 Declaring product_o_int:(list_o->(list_int->list_P3795440434834930179_o_int))
% 0.58/0.74 FOF formula (<kernel.Constant object at 0x1b23b90>, <kernel.DependentProduct object at 0x1b23128>) of role type named sy_c_List_Oproduct_001_Eo_001t__Nat__Onat
% 0.58/0.74 Using role type
% 0.58/0.74 Declaring product_o_nat:(list_o->(list_nat->list_P6285523579766656935_o_nat))
% 0.58/0.74 FOF formula (<kernel.Constant object at 0x1b233b0>, <kernel.DependentProduct object at 0x1b23b48>) of role type named sy_c_List_Oproduct_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.58/0.74 Using role type
% 0.58/0.74 Declaring product_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.58/0.74 FOF formula (<kernel.Constant object at 0x1b23680>, <kernel.DependentProduct object at 0x1b23b90>) of role type named sy_c_List_Oproduct_001t__Int__Oint_001_Eo
% 0.58/0.74 Using role type
% 0.58/0.74 Declaring product_int_o:(list_int->(list_o->list_P5087981734274514673_int_o))
% 0.58/0.74 FOF formula (<kernel.Constant object at 0x1b23bd8>, <kernel.DependentProduct object at 0x1b233b0>) of role type named sy_c_List_Oproduct_001t__Int__Oint_001t__Int__Oint
% 0.58/0.74 Using role type
% 0.58/0.74 Declaring product_int_int:(list_int->(list_int->list_P5707943133018811711nt_int))
% 0.58/0.74 FOF formula (<kernel.Constant object at 0x1b23680>, <kernel.DependentProduct object at 0x1b23bd8>) of role type named sy_c_List_Oproduct_001t__Int__Oint_001t__VEBT____Definitions__OVEBT
% 0.58/0.74 Using role type
% 0.58/0.74 Declaring produc662631939642741121T_VEBT:(list_int->(list_VEBT_VEBT->list_P7524865323317820941T_VEBT))
% 0.58/0.74 FOF formula (<kernel.Constant object at 0x1b23c68>, <kernel.DependentProduct object at 0x1b233b0>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001_Eo
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring product_nat_o:(list_nat->(list_o->list_P7333126701944960589_nat_o))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b23d40>, <kernel.DependentProduct object at 0x1b23680>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__Int__Oint
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring product_nat_int:(list_nat->(list_int->list_P3521021558325789923at_int))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b23cb0>, <kernel.DependentProduct object at 0x1b23c68>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__Nat__Onat
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring product_nat_nat:(list_nat->(list_nat->list_P6011104703257516679at_nat))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b23d40>, <kernel.DependentProduct object at 0x1b23cb0>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring produc7156399406898700509T_VEBT:(list_nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b23dd0>, <kernel.DependentProduct object at 0x1b23c68>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b23d40>, <kernel.DependentProduct object at 0x1b23dd0>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring produc7292646706713671643BT_int:(list_VEBT_VEBT->(list_int->list_P4547456442757143711BT_int))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b23c68>, <kernel.DependentProduct object at 0x1b23d40>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring produc7295137177222721919BT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b23dd0>, <kernel.DependentProduct object at 0x1b23c68>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b23f80>, <kernel.DependentProduct object at 0x1b23d40>) of role type named sy_c_List_Oreplicate_001_Eo
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring replicate_o:(nat->(Prop->list_o))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b23c68>, <kernel.DependentProduct object at 0x1b23e18>) of role type named sy_c_List_Oreplicate_001t__Complex__Ocomplex
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring replicate_complex:(nat->(complex->list_complex))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b23d40>, <kernel.DependentProduct object at 0x1b23ea8>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring replicate_int:(nat->(int->list_int))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b23f80>, <kernel.DependentProduct object at 0x1b261b8>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b23d40>, <kernel.DependentProduct object at 0x1b26200>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring replicate_real:(nat->(real->list_real))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b23ea8>, <kernel.DependentProduct object at 0x1b26248>) of role type named sy_c_List_Oreplicate_001t__Set__Oset_It__Nat__Onat_J
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring replicate_set_nat:(nat->(set_nat->list_set_nat))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b23d40>, <kernel.DependentProduct object at 0x1b26098>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b23ea8>, <kernel.DependentProduct object at 0x1b261b8>) of role type named sy_c_List_Oupto
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring upto:(int->(int->list_int))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b23ea8>, <kernel.DependentProduct object at 0x1b26290>) of role type named sy_c_List_Oupto__aux
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b26128>, <kernel.DependentProduct object at 0x1b26200>) of role type named sy_c_List_Oupto__rel
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring upto_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b26368>, <kernel.DependentProduct object at 0x1b26170>) of role type named sy_c_Nat_OSuc
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring suc:(nat->nat)
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b261b8>, <kernel.DependentProduct object at 0x1b26440>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b262d8>, <kernel.DependentProduct object at 0x1b264d0>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b26128>, <kernel.DependentProduct object at 0x1b26488>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b263b0>, <kernel.DependentProduct object at 0x1b26518>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Option__Ooption_It__Num__Onum_J
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring case_nat_option_num:(option_num->((nat->option_num)->(nat->option_num)))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b26560>, <kernel.DependentProduct object at 0x1b26440>) of role type named sy_c_Nat_Onat_Opred
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring pred:(nat->nat)
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b263b0>, <kernel.DependentProduct object at 0x1b265a8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b26440>, <kernel.DependentProduct object at 0x1b26368>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b265a8>, <kernel.DependentProduct object at 0x1b26638>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Extended____Nat__Oenat
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring semiri4216267220026989637d_enat:(nat->extended_enat)
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b26368>, <kernel.DependentProduct object at 0x1b266c8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b26638>, <kernel.DependentProduct object at 0x1b26758>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b266c8>, <kernel.DependentProduct object at 0x1b267e8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b26758>, <kernel.DependentProduct object at 0x1b26878>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b267e8>, <kernel.DependentProduct object at 0x1b262d8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Complex__Ocomplex
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring semiri2816024913162550771omplex:((complex->complex)->(nat->(complex->complex)))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b26878>, <kernel.DependentProduct object at 0x1b26950>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Int__Oint
% 0.58/0.75 Using role type
% 0.58/0.75 Declaring semiri8420488043553186161ux_int:((int->int)->(nat->(int->int)))
% 0.58/0.75 FOF formula (<kernel.Constant object at 0x1b262d8>, <kernel.DependentProduct object at 0x1b269e0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Nat__Onat
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring semiri8422978514062236437ux_nat:((nat->nat)->(nat->(nat->nat)))
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1b26950>, <kernel.DependentProduct object at 0x1b26a70>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Rat__Orat
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring semiri7787848453975740701ux_rat:((rat->rat)->(nat->(rat->rat)))
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1b269e0>, <kernel.DependentProduct object at 0x1b26b00>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Real__Oreal
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring semiri7260567687927622513x_real:((real->real)->(nat->(real->real)))
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1b26b90>, <kernel.DependentProduct object at 0x1b26c68>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_size_list_o:(list_o->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1b269e0>, <kernel.DependentProduct object at 0x1b26c20>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1b26998>, <kernel.DependentProduct object at 0x1b26cb0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_size_list_int:(list_int->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1b26b00>, <kernel.DependentProduct object at 0x1b26cf8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_size_list_nat:(list_nat->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1b26998>, <kernel.DependentProduct object at 0x1b26d40>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_s1515746228057227161od_o_o:(list_P4002435161011370285od_o_o->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1b26cf8>, <kernel.DependentProduct object at 0x1b26dd0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_s2953683556165314199_o_int:(list_P3795440434834930179_o_int->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1b26d40>, <kernel.DependentProduct object at 0x1b26e60>) 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
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_s4313452262239582901T_VEBT:(list_P7495141550334521929T_VEBT->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1b26dd0>, <kernel.DependentProduct object at 0x1b26ef0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_M_Eo_J_J
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_s4246224855604898693_int_o:(list_P5087981734274514673_int_o->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1b26e60>, <kernel.DependentProduct object at 0x1b26f80>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_s5157815400016825771nt_int:(list_P5707943133018811711nt_int->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1b26ef0>, <kernel.DependentProduct object at 0x1f4b050>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__VEBT____Definitions__OVEBT_J_J
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_s6639371672096860321T_VEBT:(list_P7524865323317820941T_VEBT->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1b26f80>, <kernel.DependentProduct object at 0x1f4b0e0>) 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
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_s9168528473962070013VEBT_o:(list_P3126845725202233233VEBT_o->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1b26dd0>, <kernel.DependentProduct object at 0x1f4b170>) 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
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_s3661962791536183091BT_int:(list_P4547456442757143711BT_int->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1b26dd0>, <kernel.DependentProduct object at 0x1f4b200>) 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
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_s7466405169056248089T_VEBT:(list_P7413028617227757229T_VEBT->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1b26fc8>, <kernel.DependentProduct object at 0x1f4b290>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_size_list_real:(list_real->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1f4b1b8>, <kernel.DependentProduct object at 0x1f4b2d8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_s3254054031482475050et_nat:(list_set_nat->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1f4b200>, <kernel.DependentProduct object at 0x1f4b368>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1b26f80>, <kernel.DependentProduct object at 0x1f4b3f8>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_size_num:(num->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1f4b368>, <kernel.DependentProduct object at 0x1f4b440>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Nat__Onat_J
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_size_option_nat:(option_nat->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1f4b2d8>, <kernel.DependentProduct object at 0x1f4b488>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_size_option_num:(option_num->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1f4b368>, <kernel.DependentProduct object at 0x1f4b4d0>) 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
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1f4b440>, <kernel.DependentProduct object at 0x1f4b560>) of role type named sy_c_Nat_Osize__class_Osize_001t__String__Ochar
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_size_char:(char->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1f4b128>, <kernel.DependentProduct object at 0x1f4b5a8>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1f4b290>, <kernel.DependentProduct object at 0x1f4b638>) of role type named sy_c_Nat__Bijection_Olist__encode
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring nat_list_encode:(list_nat->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1f4b560>, <kernel.DependentProduct object at 0x1f4b440>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1f4b5a8>, <kernel.DependentProduct object at 0x1f4b560>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1f4b1b8>, <kernel.DependentProduct object at 0x1f4b758>) of role type named sy_c_Nat__Bijection_Oprod__encode
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring nat_prod_encode:(product_prod_nat_nat->nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1f4b4d0>, <kernel.DependentProduct object at 0x1f4b7a0>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.58/0.76 Using role type
% 0.58/0.76 Declaring nat_set_decode:(nat->set_nat)
% 0.58/0.76 FOF formula (<kernel.Constant object at 0x1f4b128>, <kernel.DependentProduct object at 0x1f4b7e8>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring nat_set_encode:(set_nat->nat)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1f4b638>, <kernel.DependentProduct object at 0x1f4b830>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring nat_triangle:(nat->nat)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1f4b758>, <kernel.DependentProduct object at 0x1f4b440>) of role type named sy_c_NthRoot_Oroot
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring root:(nat->(real->real))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1f4b4d0>, <kernel.DependentProduct object at 0x1f4b878>) of role type named sy_c_NthRoot_Osqrt
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring sqrt:(real->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1f4b7a0>, <kernel.DependentProduct object at 0x1f4b830>) of role type named sy_c_Num_OBitM
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring bitM:(num->num)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1f4b638>, <kernel.DependentProduct object at 0x1f4b908>) of role type named sy_c_Num_Oinc
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring inc:(num->num)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1f4b7a0>, <kernel.DependentProduct object at 0x1f4b950>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1f4b908>, <kernel.DependentProduct object at 0x1f4b9e0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1f4b440>, <kernel.DependentProduct object at 0x1f4ba70>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring neg_numeral_dbl_int:(int->int)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1f4b4d0>, <kernel.DependentProduct object at 0x1f4bab8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1f4b998>, <kernel.DependentProduct object at 0x1f4bb00>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring neg_numeral_dbl_real:(real->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1f4b4d0>, <kernel.DependentProduct object at 0x1f4bb48>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1f4bb00>, <kernel.DependentProduct object at 0x1f4bbd8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1f4bb48>, <kernel.DependentProduct object at 0x1f4bc68>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1f4bbd8>, <kernel.DependentProduct object at 0x1f4bcf8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1f4bc68>, <kernel.DependentProduct object at 0x1f4bd88>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1f4bcf8>, <kernel.DependentProduct object at 0x1f4be18>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Code____Numeral__Ointeger
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring neg_nu5831290666863070958nteger:(code_integer->code_integer)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1f4bd88>, <kernel.DependentProduct object at 0x1f4bea8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Complex__Ocomplex
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring neg_nu8557863876264182079omplex:(complex->complex)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x1f4be18>, <kernel.DependentProduct object at 0x1f4bf38>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Int__Oint
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring neg_nu5851722552734809277nc_int:(int->int)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f4bea8>, <kernel.DependentProduct object at 0x1f4bfc8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Rat__Orat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring neg_nu5219082963157363817nc_rat:(rat->rat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f4bf38>, <kernel.DependentProduct object at 0x1f2f098>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Real__Oreal
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring neg_nu8295874005876285629c_real:(real->real)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f4b9e0>, <kernel.DependentProduct object at 0x1f4bea8>) of role type named sy_c_Num_Oneg__numeral__class_Osub_001t__Int__Oint
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring neg_numeral_sub_int:(num->(num->int))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f4bfc8>, <kernel.DependentProduct object at 0x1f2f0e0>) of role type named sy_c_Num_Onum_OBit0
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring bit0:(num->num)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f4b9e0>, <kernel.DependentProduct object at 0x1f2f170>) of role type named sy_c_Num_Onum_OBit1
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring bit1:(num->num)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f4bea8>, <kernel.Constant object at 0x1f2f0e0>) of role type named sy_c_Num_Onum_OOne
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring one:num
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f4b9e0>, <kernel.DependentProduct object at 0x1f2f2d8>) of role type named sy_c_Num_Onum_Ocase__num_001t__Option__Ooption_It__Num__Onum_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring case_num_option_num:(option_num->((num->option_num)->((num->option_num)->(num->option_num))))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f4bea8>, <kernel.DependentProduct object at 0x1f2f248>) of role type named sy_c_Num_Onum_Osize__num
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_num:(num->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f4bea8>, <kernel.DependentProduct object at 0x1f2f098>) of role type named sy_c_Num_Onum__of__nat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring num_of_nat:(nat->num)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f050>, <kernel.DependentProduct object at 0x1f2f1b8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f098>, <kernel.DependentProduct object at 0x1f2f3b0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring numera6690914467698888265omplex:(num->complex)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f1b8>, <kernel.DependentProduct object at 0x1f2f440>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f0e0>, <kernel.DependentProduct object at 0x1f2f4d0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring numeral_numeral_int:(num->int)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f3f8>, <kernel.DependentProduct object at 0x1f2f518>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring numeral_numeral_nat:(num->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f170>, <kernel.DependentProduct object at 0x1f2f560>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring numeral_numeral_rat:(num->rat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f440>, <kernel.DependentProduct object at 0x1f2f5a8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring numeral_numeral_real:(num->real)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f4d0>, <kernel.DependentProduct object at 0x1f2f170>) of role type named sy_c_Num_Opow
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring pow:(num->(num->num))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f5f0>, <kernel.DependentProduct object at 0x1f2f638>) of role type named sy_c_Num_Opred__numeral
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring pred_numeral:(num->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f560>, <kernel.DependentProduct object at 0x1f2f518>) of role type named sy_c_Num_Osqr
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring sqr:(num->num)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f5a8>, <kernel.Constant object at 0x1f2f518>) of role type named sy_c_Option_Ooption_ONone_001t__Nat__Onat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring none_nat:option_nat
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f638>, <kernel.Constant object at 0x1f2f518>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring none_num:option_num
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f5a8>, <kernel.Constant object at 0x1f2f440>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f6c8>, <kernel.DependentProduct object at 0x1f2f7e8>) of role type named sy_c_Option_Ooption_OSome_001t__Nat__Onat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring some_nat:(nat->option_nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f4d0>, <kernel.DependentProduct object at 0x1f2f830>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring some_num:(num->option_num)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f6c8>, <kernel.DependentProduct object at 0x1f2f4d0>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f830>, <kernel.DependentProduct object at 0x1f2f908>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f950>, <kernel.DependentProduct object at 0x1f2fa28>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Int__Oint_001t__Num__Onum
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring case_option_int_num:(int->((num->int)->(option_num->int)))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f9e0>, <kernel.DependentProduct object at 0x1f2fa70>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f950>, <kernel.DependentProduct object at 0x1f2f6c8>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2fb00>, <kernel.DependentProduct object at 0x1f2f878>) of role type named sy_c_Option_Ooption_Omap__option_001t__Num__Onum_001t__Num__Onum
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring map_option_num_num:((num->num)->(option_num->option_num))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2fa70>, <kernel.DependentProduct object at 0x1f2fab8>) of role type named sy_c_Option_Ooption_Osize__option_001t__Nat__Onat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_option_nat:((nat->nat)->(option_nat->nat))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2f950>, <kernel.DependentProduct object at 0x1f2fb48>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2fa70>, <kernel.DependentProduct object at 0x1f2f4d0>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f2fb00>, <kernel.DependentProduct object at 0x1f2fab8>) of role type named sy_c_Option_Ooption_Othe_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring the_nat:(option_nat->nat)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f2f518>, <kernel.DependentProduct object at 0x1f2fc68>) of role type named sy_c_Option_Ooption_Othe_001t__Num__Onum
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring the_num:(option_num->num)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f2fb00>, <kernel.DependentProduct object at 0x1f2fcb0>) of role type named sy_c_Option_Ooption_Othe_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring the_Pr8591224930841456533at_nat:(option4927543243414619207at_nat->product_prod_nat_nat)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f2fc68>, <kernel.Constant object at 0x1f2fb48>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Extended____Nat__Oenat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring bot_bo4199563552545308370d_enat:extended_enat
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f2fa70>, <kernel.Constant object at 0x1f2fb48>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring bot_bot_nat:nat
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f2fcf8>, <kernel.Constant object at 0x1f2fb48>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring bot_bot_set_complex:set_complex
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f2fa70>, <kernel.Constant object at 0x1f2fab8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring bot_bo7653980558646680370d_enat:set_Extended_enat
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f2fd88>, <kernel.Constant object at 0x1f2fab8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring bot_bot_set_int:set_int
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f2fe18>, <kernel.Constant object at 0x1f2fab8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring bot_bot_set_nat:set_nat
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f2fe60>, <kernel.Constant object at 0x1f2fab8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Num__Onum_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring bot_bot_set_num:set_num
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f2fea8>, <kernel.Constant object at 0x1f2fab8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Rat__Orat_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring bot_bot_set_rat:set_rat
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f2fef0>, <kernel.Constant object at 0x1f2fab8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring bot_bot_set_real:set_real
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f2ff38>, <kernel.Constant object at 0x1f2fab8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring bot_bot_set_set_nat:set_set_nat
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f2ff80>, <kernel.DependentProduct object at 0x1f33128>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_less_complex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f2fab8>, <kernel.DependentProduct object at 0x1f33170>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Int__Oint_M_Eo_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_less_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f2fd40>, <kernel.DependentProduct object at 0x1f331b8>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Nat__Onat_M_Eo_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_less_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f2ff80>, <kernel.DependentProduct object at 0x1f33200>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Real__Oreal_M_Eo_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_less_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f2fab8>, <kernel.DependentProduct object at 0x1f33248>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_less_set_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f33050>, <kernel.DependentProduct object at 0x1f33170>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f33200>, <kernel.DependentProduct object at 0x1f331b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f2fab8>, <kernel.DependentProduct object at 0x1f33098>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_less_int:(int->(int->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f33320>, <kernel.DependentProduct object at 0x1f33290>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f33128>, <kernel.DependentProduct object at 0x1f33200>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_less_num:(num->(num->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f33050>, <kernel.DependentProduct object at 0x1f33320>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f331b8>, <kernel.DependentProduct object at 0x1f33128>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_less_real:(real->(real->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f33050>, <kernel.DependentProduct object at 0x1f331b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_le1307284697595431911nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f33290>, <kernel.DependentProduct object at 0x1f33128>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f33518>, <kernel.DependentProduct object at 0x1f33050>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f33320>, <kernel.DependentProduct object at 0x1f33290>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f33098>, <kernel.DependentProduct object at 0x1f33518>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f331b8>, <kernel.DependentProduct object at 0x1f33320>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f33128>, <kernel.DependentProduct object at 0x1f33098>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f33050>, <kernel.DependentProduct object at 0x1f331b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring ord_less_set_set_nat:(set_set_nat->(set_set_nat->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f33128>, <kernel.DependentProduct object at 0x1f337a0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_le4573692005234683329plex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33320>, <kernel.DependentProduct object at 0x1f33830>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_Eo_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_eq_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f337a0>, <kernel.DependentProduct object at 0x1f33878>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_Eo_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_eq_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33830>, <kernel.DependentProduct object at 0x1f338c0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Real__Oreal_M_Eo_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_eq_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f337a0>, <kernel.DependentProduct object at 0x1f33908>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_le3964352015994296041_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f338c0>, <kernel.DependentProduct object at 0x1f337a0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33908>, <kernel.DependentProduct object at 0x1f338c0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f337a0>, <kernel.DependentProduct object at 0x1f33908>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_le2510731241096832064er_nat:(filter_nat->(filter_nat->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33a28>, <kernel.DependentProduct object at 0x1f338c0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33ab8>, <kernel.DependentProduct object at 0x1f337a0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33320>, <kernel.DependentProduct object at 0x1f33a28>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33998>, <kernel.DependentProduct object at 0x1f33ab8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33908>, <kernel.DependentProduct object at 0x1f33320>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f338c0>, <kernel.DependentProduct object at 0x1f33998>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_Eo_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_eq_set_o:(set_o->(set_o->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33908>, <kernel.DependentProduct object at 0x1f338c0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_le7084787975880047091nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33998>, <kernel.DependentProduct object at 0x1f33908>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33cf8>, <kernel.DependentProduct object at 0x1f338c0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33d88>, <kernel.DependentProduct object at 0x1f33998>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f337a0>, <kernel.DependentProduct object at 0x1f33cf8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Num__Onum_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_eq_set_num:(set_num->(set_num->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33d88>, <kernel.DependentProduct object at 0x1f338c0>) 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
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_le2843351958646193337nt_int:(set_Pr958786334691620121nt_int->(set_Pr958786334691620121nt_int->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33ea8>, <kernel.DependentProduct object at 0x1f33cf8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Rat__Orat_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_eq_set_rat:(set_rat->(set_rat->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33ef0>, <kernel.DependentProduct object at 0x1f33d88>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33ea8>, <kernel.DependentProduct object at 0x1f33ef0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_le6893508408891458716et_nat:(set_set_nat->(set_set_nat->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33d88>, <kernel.DependentProduct object at 0x1f36050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33f38>, <kernel.DependentProduct object at 0x1f33998>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Code____Numeral__Ointeger
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_max_Code_integer:(code_integer->(code_integer->code_integer))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33f38>, <kernel.DependentProduct object at 0x1f361b8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Extended____Nat__Oenat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_ma741700101516333627d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33998>, <kernel.DependentProduct object at 0x1f36170>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_max_int:(int->(int->int))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33908>, <kernel.DependentProduct object at 0x1f36290>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_max_nat:(nat->(nat->nat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33998>, <kernel.DependentProduct object at 0x1f360e0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Num__Onum
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_max_num:(num->(num->num))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33908>, <kernel.DependentProduct object at 0x1f361b8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Rat__Orat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_max_rat:(rat->(rat->rat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f33908>, <kernel.DependentProduct object at 0x1f362d8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_max_real:(real->(real->real))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1f36098>, <kernel.DependentProduct object at 0x1f36170>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_max_set_nat:(set_nat->(set_nat->set_nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36050>, <kernel.DependentProduct object at 0x1f36290>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring order_Greatest_nat:((nat->Prop)->nat)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36098>, <kernel.DependentProduct object at 0x1f36248>) of role type named sy_c_Orderings_Oorder__class_Oantimono_001t__Nat__Onat_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring order_9091379641038594480t_real:((nat->real)->Prop)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f361b8>, <kernel.DependentProduct object at 0x1f36440>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f363f8>, <kernel.DependentProduct object at 0x1f36290>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring order_mono_nat_real:((nat->real)->Prop)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f361b8>, <kernel.DependentProduct object at 0x1f36098>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring order_5726023648592871131at_nat:((nat->nat)->Prop)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36290>, <kernel.DependentProduct object at 0x1f36560>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Real__Oreal_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring order_7092887310737990675l_real:((real->real)->Prop)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f362d8>, <kernel.Constant object at 0x1f36560>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_Eo_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring top_top_set_o:set_o
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f364d0>, <kernel.Constant object at 0x1f36560>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring top_top_set_nat:set_nat
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f362d8>, <kernel.Constant object at 0x1f36488>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Ounit_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring top_to1996260823553986621t_unit:set_Product_unit
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f365f0>, <kernel.Constant object at 0x1f36488>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring top_top_set_real:set_real
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36680>, <kernel.Constant object at 0x1f36488>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring top_top_set_char:set_char
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f365f0>, <kernel.DependentProduct object at 0x1f36680>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f367e8>, <kernel.DependentProduct object at 0x1f36488>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring power_power_complex:(complex->(nat->complex))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f366c8>, <kernel.DependentProduct object at 0x1f365f0>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring power_power_int:(int->(nat->int))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f368c0>, <kernel.DependentProduct object at 0x1f367e8>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring power_power_nat:(nat->(nat->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36710>, <kernel.DependentProduct object at 0x1f366c8>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring power_power_rat:(rat->(nat->rat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36758>, <kernel.DependentProduct object at 0x1f368c0>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring power_power_real:(real->(nat->real))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36710>, <kernel.DependentProduct object at 0x1f367e8>) 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
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring produc6137756002093451184nteger:((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->produc8763457246119570046nteger))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f368c0>, <kernel.DependentProduct object at 0x1f365f0>) 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
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring produc4305682042979456191nt_int:((int->option6357759511663192854e_term)->(product_prod_int_int->produc7773217078559923341nt_int))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f367e8>, <kernel.DependentProduct object at 0x1f36878>) 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
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring produc4035269172776083154on_nat:((nat->(nat->Prop))->(produc4953844613479565601on_nat->produc2233624965454879586on_nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f365f0>, <kernel.DependentProduct object at 0x1f366c8>) 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
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring produc8929957630744042906on_nat:((nat->(nat->nat))->(produc4953844613479565601on_nat->produc8306885398267862888on_nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36878>, <kernel.DependentProduct object at 0x1f36b48>) 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
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring produc3576312749637752826on_num:((num->(num->Prop))->(produc3447558737645232053on_num->produc7036089656553540234on_num))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f366c8>, <kernel.DependentProduct object at 0x1f36c20>) 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
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring produc5778274026573060048on_num:((num->(num->num))->(produc3447558737645232053on_num->produc1193250871479095198on_num))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36b48>, <kernel.DependentProduct object at 0x1f36cf8>) 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
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring produc8603105652947943368nteger:((produc6241069584506657477e_term->option6357759511663192854e_term)->(produc8923325533196201883nteger->produc1908205239877642774nteger))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36c20>, <kernel.DependentProduct object at 0x1f36c68>) 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
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring produc5700946648718959541nt_int:((produc8551481072490612790e_term->option6357759511663192854e_term)->(product_prod_int_int->produc2285326912895808259nt_int))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36cf8>, <kernel.DependentProduct object at 0x1f36a70>) 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
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring produc3994169339658061776at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(produc6121120109295599847at_nat->produc5491161045314408544at_nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36c68>, <kernel.DependentProduct object at 0x1f36d88>) 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
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring produc2899441246263362727at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(produc6121120109295599847at_nat->produc5542196010084753463at_nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36f38>, <kernel.DependentProduct object at 0x1f36d88>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring product_Pair_o_nat:(Prop->(nat->product_prod_o_nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36c68>, <kernel.DependentProduct object at 0x1f36e18>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring produc2982872950893828659T_VEBT:(Prop->(vEBT_VEBT->produc2504756804600209347T_VEBT))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36d88>, <kernel.DependentProduct object at 0x1f390e0>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36e18>, <kernel.DependentProduct object at 0x1f39050>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36c68>, <kernel.DependentProduct object at 0x1f391b8>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36f38>, <kernel.DependentProduct object at 0x1f39098>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001_Eo
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring product_Pair_nat_o:(nat->(Prop->product_prod_nat_o))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36c68>, <kernel.DependentProduct object at 0x1f390e0>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring product_Pair_nat_int:(nat->(int->product_prod_nat_int))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36f38>, <kernel.DependentProduct object at 0x1f39200>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f36f38>, <kernel.DependentProduct object at 0x1f39050>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Num__Onum
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring product_Pair_nat_num:(nat->(num->product_prod_nat_num))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1f39290>, <kernel.DependentProduct object at 0x1f39248>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc599794634098209291T_VEBT:(nat->(vEBT_VEBT->produc8025551001238799321T_VEBT))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1f39098>, <kernel.DependentProduct object at 0x1f39050>) of role type named sy_c_Product__Type_OPair_001t__Num__Onum_001t__Num__Onum
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring product_Pair_num_num:(num->(num->product_prod_num_num))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1f39290>, <kernel.DependentProduct object at 0x1f39098>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Nat__Onat_J_001t__Option__Ooption_It__Nat__Onat_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc5098337634421038937on_nat:(option_nat->(option_nat->produc4953844613479565601on_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1f39050>, <kernel.DependentProduct object at 0x1f39290>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Num__Onum_J_001t__Option__Ooption_It__Num__Onum_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc8585076106096196333on_num:(option_num->(option_num->produc3447558737645232053on_num))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1f39098>, <kernel.DependentProduct object at 0x1f39170>) 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
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc488173922507101015at_nat:(option4927543243414619207at_nat->(option4927543243414619207at_nat->produc6121120109295599847at_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1f39290>, <kernel.DependentProduct object at 0x1f395f0>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1f39170>, <kernel.DependentProduct object at 0x1f39290>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc736041933913180425BT_int:(vEBT_VEBT->(int->produc4894624898956917775BT_int))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1f395f0>, <kernel.DependentProduct object at 0x1f39170>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1f39290>, <kernel.DependentProduct object at 0x1f395f0>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1f39170>, <kernel.DependentProduct object at 0x1f39050>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1f395f0>, <kernel.DependentProduct object at 0x1f39170>) 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
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc127349428274296955eger_o:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))->(produc8763457246119570046nteger->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1f39050>, <kernel.DependentProduct object at 0x1f395f0>) 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
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc2592262431452330817omplex:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->set_complex))->(produc8763457246119570046nteger->set_complex))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1f39170>, <kernel.DependentProduct object at 0x1f39050>) 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
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc8604463032469472703et_int:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->set_int))->(produc8763457246119570046nteger->set_int))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1f395f0>, <kernel.DependentProduct object at 0x1f39170>) 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
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc3558942015123893603et_nat:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->set_nat))->(produc8763457246119570046nteger->set_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1f39050>, <kernel.DependentProduct object at 0x1f395f0>) 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
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc815715089573277247t_real:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->set_real))->(produc8763457246119570046nteger->set_real))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1f39170>, <kernel.DependentProduct object at 0x1f39050>) 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
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc2558449545302689196_int_o:(((int->option6357759511663192854e_term)->(product_prod_int_int->Prop))->(produc7773217078559923341nt_int->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1f395f0>, <kernel.DependentProduct object at 0x1f39170>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc7959293469001253456omplex:(((int->option6357759511663192854e_term)->(product_prod_int_int->set_complex))->(produc7773217078559923341nt_int->set_complex))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1f39050>, <kernel.DependentProduct object at 0x1f395f0>) 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
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc6253627499356882019eger_o:(((produc6241069584506657477e_term->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))->(produc1908205239877642774nteger->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x1f39170>, <kernel.DependentProduct object at 0x1f39050>) 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
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc1573362020775583542_int_o:(((produc8551481072490612790e_term->option6357759511663192854e_term)->(product_prod_int_int->Prop))->(produc2285326912895808259nt_int->Prop))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x1f395f0>, <kernel.DependentProduct object at 0x1f39c68>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x1f39050>, <kernel.DependentProduct object at 0x1f39d40>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x1f39c68>, <kernel.DependentProduct object at 0x1f39ab8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc7336495610019696514er_num:((code_integer->(code_integer->num))->(produc8923325533196201883nteger->num))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x1f39d40>, <kernel.DependentProduct object at 0x1f39cb0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x1f39ab8>, <kernel.DependentProduct object at 0x1f39d88>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x1f39cb0>, <kernel.DependentProduct object at 0x1f39cf8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Complex__Ocomplex_001t__Complex__Ocomplex_001_Eo
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc6771430404735790350plex_o:((complex->(complex->Prop))->(produc4411394909380815293omplex->Prop))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x1f39d88>, <kernel.DependentProduct object at 0x1f3b050>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x1f39d88>, <kernel.DependentProduct object at 0x1f3b128>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc8211389475949308722nt_int:((int->(int->int))->(product_prod_int_int->int))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x1f39f80>, <kernel.DependentProduct object at 0x1f3b098>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x1f3b1b8>, <kernel.DependentProduct object at 0x1f3b170>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.66/0.82 Using role type
% 0.66/0.82 Declaring produc8580519160106071146omplex:((int->(int->set_complex))->(product_prod_int_int->set_complex))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x1f3b368>, <kernel.DependentProduct object at 0x1f3b2d8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Int__Oint_J
% 0.66/0.82 Using role type
% 0.66/0.82 Declaring produc73460835934605544et_int:((int->(int->set_int))->(product_prod_int_int->set_int))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x1f3b098>, <kernel.DependentProduct object at 0x1f3b1b8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Nat__Onat_J
% 0.66/0.82 Using role type
% 0.66/0.82 Declaring produc4251311855443802252et_nat:((int->(int->set_nat))->(product_prod_int_int->set_nat))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x1f3b3f8>, <kernel.DependentProduct object at 0x1f3b440>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Real__Oreal_J
% 0.66/0.82 Using role type
% 0.66/0.82 Declaring produc6452406959799940328t_real:((int->(int->set_real))->(product_prod_int_int->set_real))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x1f3b1b8>, <kernel.DependentProduct object at 0x1f3b3b0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.66/0.82 Using role type
% 0.66/0.82 Declaring produc5233655623923918146et_nat:((int->(int->set_set_nat))->(product_prod_int_int->set_set_nat))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x1f3b440>, <kernel.DependentProduct object at 0x1f3b5f0>) 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
% 0.66/0.82 Using role type
% 0.66/0.82 Declaring produc8739625826339149834_nat_o:((nat->(nat->(product_prod_nat_nat->Prop)))->(product_prod_nat_nat->(product_prod_nat_nat->Prop)))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x1f3b3b0>, <kernel.DependentProduct object at 0x1f3b680>) 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
% 0.66/0.82 Using role type
% 0.66/0.82 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)))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x1f3b5f0>, <kernel.DependentProduct object at 0x1f3b128>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.66/0.82 Using role type
% 0.66/0.82 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x1f3b680>, <kernel.DependentProduct object at 0x1f3b3f8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.66/0.82 Using role type
% 0.66/0.82 Declaring produc1917071388513777916omplex:((nat->(nat->complex))->(product_prod_nat_nat->complex))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x1f3b128>, <kernel.DependentProduct object at 0x1f3b710>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint
% 0.66/0.82 Using role type
% 0.66/0.82 Declaring produc6840382203811409530at_int:((nat->(nat->int))->(product_prod_nat_nat->int))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x1f3b3f8>, <kernel.DependentProduct object at 0x1f3b7a0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.66/0.82 Using role type
% 0.66/0.82 Declaring produc6842872674320459806at_nat:((nat->(nat->nat))->(product_prod_nat_nat->nat))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x1f3b710>, <kernel.DependentProduct object at 0x1f3b830>) 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
% 0.66/0.82 Using role type
% 0.66/0.82 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x1f3b7a0>, <kernel.DependentProduct object at 0x1f3b8c0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Rat__Orat
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring produc6207742614233964070at_rat:((nat->(nat->rat))->(product_prod_nat_nat->rat))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3b830>, <kernel.DependentProduct object at 0x1f3b950>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring produc1703576794950452218t_real:((nat->(nat->real))->(product_prod_nat_nat->real))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3b8c0>, <kernel.DependentProduct object at 0x1f3b9e0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Option__Ooption_It__Num__Onum_J
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring produc478579273971653890on_num:((nat->(num->option_num))->(product_prod_nat_num->option_num))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3b950>, <kernel.DependentProduct object at 0x1f3b518>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Real__Oreal_001t__Real__Oreal_001_Eo
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring produc5414030515140494994real_o:((real->(real->Prop))->(produc2422161461964618553l_real->Prop))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3b9e0>, <kernel.DependentProduct object at 0x1f3bbd8>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring produc8508995932063986495nteger:(produc8923325533196201883nteger->code_integer)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3bb00>, <kernel.DependentProduct object at 0x1f3bc68>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3ba70>, <kernel.DependentProduct object at 0x1f3bcb0>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3bab8>, <kernel.DependentProduct object at 0x1f3bcf8>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3bbd8>, <kernel.DependentProduct object at 0x1f3bd40>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3bc68>, <kernel.DependentProduct object at 0x1f3bab8>) of role type named sy_c_Rat_OFract
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring fract:(int->(int->rat))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3bd88>, <kernel.DependentProduct object at 0x1f3bdd0>) of role type named sy_c_Rat_OFrct
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring frct:(product_prod_int_int->rat)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3bcf8>, <kernel.DependentProduct object at 0x1f3bcb0>) of role type named sy_c_Rat_Onormalize
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3bd40>, <kernel.DependentProduct object at 0x1f3be60>) of role type named sy_c_Rat_Oof__int
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring of_int:(int->rat)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3bab8>, <kernel.DependentProduct object at 0x1f3bea8>) of role type named sy_c_Rat_Oquotient__of
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring quotient_of:(rat->product_prod_int_int)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3bd40>, <kernel.Constant object at 0x1f3bcb0>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Complex__Ocomplex
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring real_V2521375963428798218omplex:set_complex
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3bea8>, <kernel.DependentProduct object at 0x1f3bf38>) of role type named sy_c_Real__Vector__Spaces_Obounded__linear_001t__Real__Oreal_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring real_V5970128139526366754l_real:((real->real)->Prop)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3bcb0>, <kernel.DependentProduct object at 0x1f3bea8>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Complex__Ocomplex
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring real_V3694042436643373181omplex:(complex->(complex->real))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3bf38>, <kernel.DependentProduct object at 0x1f3bcf8>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring real_V975177566351809787t_real:(real->(real->real))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3bf38>, <kernel.DependentProduct object at 0x1f4d128>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3bf38>, <kernel.DependentProduct object at 0x1f4d200>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring real_V7735802525324610683m_real:(real->real)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f3bdd0>, <kernel.DependentProduct object at 0x1f4d290>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d128>, <kernel.DependentProduct object at 0x1f4d2d8>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Complex__Ocomplex
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring real_V2046097035970521341omplex:(real->(complex->complex))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d320>, <kernel.DependentProduct object at 0x1f4d368>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring real_V1485227260804924795R_real:(real->(real->real))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d290>, <kernel.DependentProduct object at 0x1f4d3f8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d050>, <kernel.DependentProduct object at 0x1f4d290>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d320>, <kernel.DependentProduct object at 0x1f4d3f8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring divide_divide_int:(int->(int->int))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d128>, <kernel.DependentProduct object at 0x1f4d050>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d5a8>, <kernel.DependentProduct object at 0x1f4d320>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d440>, <kernel.DependentProduct object at 0x1f4d128>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring divide_divide_real:(real->(real->real))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d4d0>, <kernel.DependentProduct object at 0x1f4d5a8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d560>, <kernel.DependentProduct object at 0x1f4d440>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d050>, <kernel.DependentProduct object at 0x1f4d4d0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d320>, <kernel.DependentProduct object at 0x1f4d560>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d128>, <kernel.DependentProduct object at 0x1f4d050>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d5a8>, <kernel.DependentProduct object at 0x1f4d320>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d128>, <kernel.DependentProduct object at 0x1f4d5a8>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d290>, <kernel.DependentProduct object at 0x1f4d320>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring modulo_modulo_int:(int->(int->int))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d440>, <kernel.DependentProduct object at 0x1f4d128>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d290>, <kernel.DependentProduct object at 0x1f4d998>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d128>, <kernel.DependentProduct object at 0x1f4d4d0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d998>, <kernel.DependentProduct object at 0x1f4da28>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d4d0>, <kernel.DependentProduct object at 0x1f4dab8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4da28>, <kernel.DependentProduct object at 0x1f4db48>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4dab8>, <kernel.DependentProduct object at 0x1f4dbd8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4da28>, <kernel.DependentProduct object at 0x1f4db48>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring suminf_complex:((nat->complex)->complex)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4d200>, <kernel.DependentProduct object at 0x1f4da28>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring suminf_int:((nat->int)->int)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4dc20>, <kernel.DependentProduct object at 0x1f4db48>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring suminf_nat:((nat->nat)->nat)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4dcf8>, <kernel.DependentProduct object at 0x1f4dab8>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring suminf_real:((nat->real)->real)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4dd88>, <kernel.DependentProduct object at 0x1f4db48>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring summable_complex:((nat->complex)->Prop)
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x1f4dd40>, <kernel.DependentProduct object at 0x1f4d200>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring summable_int:((nat->int)->Prop)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4dc68>, <kernel.DependentProduct object at 0x1f4dcf8>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring summable_nat:((nat->nat)->Prop)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4ddd0>, <kernel.DependentProduct object at 0x1f4dd88>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring summable_real:((nat->real)->Prop)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4de18>, <kernel.DependentProduct object at 0x1f4de60>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4d4d0>, <kernel.DependentProduct object at 0x1f4def0>) of role type named sy_c_Series_Osums_001t__Int__Oint
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring sums_int:((nat->int)->(int->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4dd88>, <kernel.DependentProduct object at 0x1f4dcf8>) of role type named sy_c_Series_Osums_001t__Nat__Onat
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring sums_nat:((nat->nat)->(nat->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4dea8>, <kernel.DependentProduct object at 0x1f4df80>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring sums_real:((nat->real)->(real->Prop))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4dcf8>, <kernel.DependentProduct object at 0x1f4f050>) of role type named sy_c_Set_OCollect_001t__Code____Numeral__Ointeger
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring collect_Code_integer:((code_integer->Prop)->set_Code_integer)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4df80>, <kernel.DependentProduct object at 0x1f4f098>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4def0>, <kernel.DependentProduct object at 0x1f4f128>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring collect_int:((int->Prop)->set_int)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4dd88>, <kernel.DependentProduct object at 0x1f4f050>) of role type named sy_c_Set_OCollect_001t__List__Olist_I_Eo_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring collect_list_o:((list_o->Prop)->set_list_o)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4ddd0>, <kernel.DependentProduct object at 0x1f4f170>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Complex__Ocomplex_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring collect_list_complex:((list_complex->Prop)->set_list_complex)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4df38>, <kernel.DependentProduct object at 0x1f4f1b8>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Int__Oint_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring collect_list_int:((list_int->Prop)->set_list_int)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4dd88>, <kernel.DependentProduct object at 0x1f4f200>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4f170>, <kernel.DependentProduct object at 0x1f4f248>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring collec5608196760682091941T_VEBT:((list_VEBT_VEBT->Prop)->set_list_VEBT_VEBT)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4df38>, <kernel.DependentProduct object at 0x1f4f320>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4f0e0>, <kernel.DependentProduct object at 0x1f4f368>) of role type named sy_c_Set_OCollect_001t__Num__Onum
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring collect_num:((num->Prop)->set_num)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4f050>, <kernel.DependentProduct object at 0x1f4f170>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring collec8663557070575231912omplex:((produc4411394909380815293omplex->Prop)->set_Pr5085853215250843933omplex)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4f0e0>, <kernel.DependentProduct object at 0x1f4f050>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4f170>, <kernel.DependentProduct object at 0x1f4f0e0>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring collec3799799289383736868l_real:((produc2422161461964618553l_real->Prop)->set_Pr6218003697084177305l_real)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4f248>, <kernel.DependentProduct object at 0x1f4f560>) of role type named sy_c_Set_OCollect_001t__Rat__Orat
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring collect_rat:((rat->Prop)->set_rat)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4f098>, <kernel.DependentProduct object at 0x1f4f5a8>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring collect_real:((real->Prop)->set_real)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4f2d8>, <kernel.DependentProduct object at 0x1f4f0e0>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring collect_set_complex:((set_complex->Prop)->set_set_complex)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4f5a8>, <kernel.DependentProduct object at 0x1f4f5f0>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Int__Oint_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring collect_set_int:((set_int->Prop)->set_set_int)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4f518>, <kernel.DependentProduct object at 0x1f4f638>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring collect_set_nat:((set_nat->Prop)->set_set_nat)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4f488>, <kernel.DependentProduct object at 0x1f4f6c8>) of role type named sy_c_Set_OPow_001t__Nat__Onat
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring pow_nat:(set_nat->set_set_nat)
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4f248>, <kernel.DependentProduct object at 0x1f4f6c8>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4f5a8>, <kernel.DependentProduct object at 0x1f4f170>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Int__Oint
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring image_nat_int:((nat->int)->(set_nat->set_int))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4f638>, <kernel.DependentProduct object at 0x1f4f518>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4f248>, <kernel.DependentProduct object at 0x1f4f710>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Real__Oreal
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring image_nat_real:((nat->real)->(set_nat->set_real))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4f5a8>, <kernel.DependentProduct object at 0x1f4f050>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring image_nat_set_nat:((nat->set_nat)->(set_nat->set_set_nat))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4f638>, <kernel.DependentProduct object at 0x1f4f488>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4f5a8>, <kernel.DependentProduct object at 0x1f4f248>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.66/0.84 Using role type
% 0.66/0.84 Declaring image_5971271580939081552omplex:((real->filter6041513312241820739omplex)->(set_real->set_fi4554929511873752355omplex))
% 0.66/0.84 FOF formula (<kernel.Constant object at 0x1f4f488>, <kernel.DependentProduct object at 0x1f4f710>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring image_2178119161166701260l_real:((real->filter2146258269922977983l_real)->(set_real->set_fi7789364187291644575l_real))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4f950>, <kernel.DependentProduct object at 0x1f4f6c8>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4f248>, <kernel.DependentProduct object at 0x1f4f170>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4f4d0>, <kernel.DependentProduct object at 0x1f4f248>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring insert_int:(int->(set_int->set_int))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4f488>, <kernel.DependentProduct object at 0x1f4f170>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4f710>, <kernel.DependentProduct object at 0x1f4f4d0>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring insert_real:(real->(set_real->set_real))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4f950>, <kernel.DependentProduct object at 0x1f4fb90>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Complex__Ocomplex
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_fo1517530859248394432omplex:((nat->(complex->complex))->(nat->(nat->(complex->complex))))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4f710>, <kernel.DependentProduct object at 0x1f4f4d0>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Int__Oint
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_fo2581907887559384638at_int:((nat->(int->int))->(nat->(nat->(int->int))))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4fb90>, <kernel.DependentProduct object at 0x1f4f248>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4f4d0>, <kernel.DependentProduct object at 0x1f4f488>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Rat__Orat
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_fo1949268297981939178at_rat:((nat->(rat->rat))->(nat->(nat->(rat->rat))))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4f248>, <kernel.DependentProduct object at 0x1f4fc68>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Real__Oreal
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_fo3111899725591712190t_real:((nat->(real->real))->(nat->(nat->(real->real))))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4f488>, <kernel.DependentProduct object at 0x1f4f248>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4fc68>, <kernel.DependentProduct object at 0x1f4f488>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4f248>, <kernel.DependentProduct object at 0x1f4fc68>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4f488>, <kernel.DependentProduct object at 0x1f4f248>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4fc68>, <kernel.DependentProduct object at 0x1f4f488>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4f248>, <kernel.DependentProduct object at 0x1f4fe60>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Nat__Onat_J
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_or4548717258645045905et_nat:(set_nat->(set_nat->set_set_nat))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4f248>, <kernel.DependentProduct object at 0x1f520e0>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4f248>, <kernel.DependentProduct object at 0x1f521b8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4f6c8>, <kernel.DependentProduct object at 0x1f52050>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4f248>, <kernel.DependentProduct object at 0x1f522d8>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Real__Oreal
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_ord_atLeast_real:(real->set_real)
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f4ff80>, <kernel.DependentProduct object at 0x1f52320>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f52098>, <kernel.DependentProduct object at 0x1f52050>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f52200>, <kernel.DependentProduct object at 0x1f52098>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f52050>, <kernel.DependentProduct object at 0x1f52200>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f52098>, <kernel.DependentProduct object at 0x1f52050>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f52200>, <kernel.DependentProduct object at 0x1f52098>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f52050>, <kernel.DependentProduct object at 0x1f521b8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f52098>, <kernel.DependentProduct object at 0x1f526c8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f521b8>, <kernel.DependentProduct object at 0x1f52758>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Extended____Nat__Oenat
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_or8419480210114673929d_enat:(extended_enat->set_Extended_enat)
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f52368>, <kernel.DependentProduct object at 0x1f527e8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Int__Oint
% 0.66/0.85 Using role type
% 0.66/0.85 Declaring set_ord_lessThan_int:(int->set_int)
% 0.66/0.85 FOF formula (<kernel.Constant object at 0x1f52680>, <kernel.DependentProduct object at 0x1f52830>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.66/0.85 Using role type
% 0.69/0.85 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.69/0.85 FOF formula (<kernel.Constant object at 0x1f52710>, <kernel.DependentProduct object at 0x1f52878>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Num__Onum
% 0.69/0.85 Using role type
% 0.69/0.85 Declaring set_ord_lessThan_num:(num->set_num)
% 0.69/0.85 FOF formula (<kernel.Constant object at 0x1f52758>, <kernel.DependentProduct object at 0x1f528c0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Rat__Orat
% 0.69/0.85 Using role type
% 0.69/0.85 Declaring set_ord_lessThan_rat:(rat->set_rat)
% 0.69/0.85 FOF formula (<kernel.Constant object at 0x1f52710>, <kernel.DependentProduct object at 0x1f52908>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.69/0.85 Using role type
% 0.69/0.85 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.69/0.85 FOF formula (<kernel.Constant object at 0x1f528c0>, <kernel.DependentProduct object at 0x1f52998>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Set__Oset_It__Nat__Onat_J
% 0.69/0.85 Using role type
% 0.69/0.85 Declaring set_or890127255671739683et_nat:(set_nat->set_set_nat)
% 0.69/0.85 FOF formula (<kernel.Constant object at 0x1f527e8>, <kernel.DependentProduct object at 0x1f52a28>) of role type named sy_c_String_Oascii__of
% 0.69/0.85 Using role type
% 0.69/0.85 Declaring ascii_of:(char->char)
% 0.69/0.85 FOF formula (<kernel.Constant object at 0x1f52680>, <kernel.DependentProduct object at 0x1f52a70>) of role type named sy_c_String_Ochar_OChar
% 0.69/0.85 Using role type
% 0.69/0.85 Declaring char2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->char))))))))
% 0.69/0.85 FOF formula (<kernel.Constant object at 0x1f52248>, <kernel.DependentProduct object at 0x1f52b90>) of role type named sy_c_String_Ochar_Osize__char
% 0.69/0.85 Using role type
% 0.69/0.85 Declaring size_char:(char->nat)
% 0.69/0.85 FOF formula (<kernel.Constant object at 0x1f527e8>, <kernel.DependentProduct object at 0x1f52680>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.69/0.85 Using role type
% 0.69/0.85 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.69/0.85 FOF formula (<kernel.Constant object at 0x1f529e0>, <kernel.DependentProduct object at 0x1f52c20>) of role type named sy_c_String_Ointeger__of__char
% 0.69/0.85 Using role type
% 0.69/0.85 Declaring integer_of_char:(char->code_integer)
% 0.69/0.85 FOF formula (<kernel.Constant object at 0x1f52248>, <kernel.DependentProduct object at 0x1f527e8>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.69/0.85 Using role type
% 0.69/0.85 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.69/0.85 FOF formula (<kernel.Constant object at 0x1f529e0>, <kernel.DependentProduct object at 0x1f52cf8>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.69/0.85 Using role type
% 0.69/0.85 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.69/0.85 FOF formula (<kernel.Constant object at 0x1f527e8>, <kernel.DependentProduct object at 0x1f52d88>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Real__Oreal_001t__Real__Oreal
% 0.69/0.85 Using role type
% 0.69/0.85 Declaring topolo5044208981011980120l_real:(set_real->((real->real)->Prop))
% 0.69/0.85 FOF formula (<kernel.Constant object at 0x1f52cf8>, <kernel.DependentProduct object at 0x1f529e0>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Int__Oint
% 0.69/0.85 Using role type
% 0.69/0.85 Declaring topolo4899668324122417113eq_int:((nat->int)->Prop)
% 0.69/0.85 FOF formula (<kernel.Constant object at 0x1f52d88>, <kernel.DependentProduct object at 0x1f52dd0>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Nat__Onat
% 0.69/0.85 Using role type
% 0.69/0.85 Declaring topolo4902158794631467389eq_nat:((nat->nat)->Prop)
% 0.69/0.85 FOF formula (<kernel.Constant object at 0x1f529e0>, <kernel.DependentProduct object at 0x1f52e60>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Num__Onum
% 0.69/0.85 Using role type
% 0.69/0.85 Declaring topolo1459490580787246023eq_num:((nat->num)->Prop)
% 0.69/0.85 FOF formula (<kernel.Constant object at 0x1f52dd0>, <kernel.DependentProduct object at 0x1f52ef0>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Rat__Orat
% 0.69/0.85 Using role type
% 0.69/0.85 Declaring topolo4267028734544971653eq_rat:((nat->rat)->Prop)
% 0.69/0.85 FOF formula (<kernel.Constant object at 0x1f52e60>, <kernel.DependentProduct object at 0x1f52f80>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f52ef0>, <kernel.DependentProduct object at 0x1f52e60>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Set__Oset_It__Nat__Onat_J
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring topolo7278393974255667507et_nat:((nat->set_nat)->Prop)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f52f80>, <kernel.DependentProduct object at 0x1f52b48>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f52f80>, <kernel.DependentProduct object at 0x1f56170>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f52f80>, <kernel.DependentProduct object at 0x1f56170>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f52ef0>, <kernel.Constant object at 0x1f56248>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Complex__Ocomplex
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring topolo896644834953643431omplex:filter6041513312241820739omplex
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56170>, <kernel.Constant object at 0x1f56200>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring topolo1511823702728130853y_real:filter2146258269922977983l_real
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f52ef0>, <kernel.DependentProduct object at 0x1f563f8>) of role type named sy_c_Transcendental_Oarccos
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring arccos:(real->real)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f52ef0>, <kernel.DependentProduct object at 0x1f56440>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring arcosh_real:(real->real)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56320>, <kernel.DependentProduct object at 0x1f56488>) of role type named sy_c_Transcendental_Oarcsin
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring arcsin:(real->real)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56200>, <kernel.DependentProduct object at 0x1f564d0>) of role type named sy_c_Transcendental_Oarctan
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring arctan:(real->real)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f563f8>, <kernel.DependentProduct object at 0x1f56518>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring arsinh_real:(real->real)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56440>, <kernel.DependentProduct object at 0x1f56560>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring artanh_real:(real->real)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56488>, <kernel.DependentProduct object at 0x1f565a8>) of role type named sy_c_Transcendental_Ocos_001t__Complex__Ocomplex
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring cos_complex:(complex->complex)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f564d0>, <kernel.DependentProduct object at 0x1f565f0>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring cos_real:(real->real)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56368>, <kernel.DependentProduct object at 0x1f56680>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring cos_coeff:(nat->real)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f565a8>, <kernel.DependentProduct object at 0x1f564d0>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring cosh_real:(real->real)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56680>, <kernel.DependentProduct object at 0x1f566c8>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring cot_real:(real->real)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f563f8>, <kernel.DependentProduct object at 0x1f56368>) of role type named sy_c_Transcendental_Odiffs_001t__Complex__Ocomplex
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring diffs_complex:((nat->complex)->(nat->complex))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f565a8>, <kernel.DependentProduct object at 0x1f564d0>) of role type named sy_c_Transcendental_Odiffs_001t__Int__Oint
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring diffs_int:((nat->int)->(nat->int))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56680>, <kernel.DependentProduct object at 0x1f56710>) of role type named sy_c_Transcendental_Odiffs_001t__Rat__Orat
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring diffs_rat:((nat->rat)->(nat->rat))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f563f8>, <kernel.DependentProduct object at 0x1f56758>) of role type named sy_c_Transcendental_Odiffs_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring diffs_real:((nat->real)->(nat->real))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f565a8>, <kernel.DependentProduct object at 0x1f56368>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring exp_complex:(complex->complex)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56488>, <kernel.DependentProduct object at 0x1f564d0>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring exp_real:(real->real)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f566c8>, <kernel.DependentProduct object at 0x1f568c0>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring ln_ln_real:(real->real)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56758>, <kernel.DependentProduct object at 0x1f56488>) of role type named sy_c_Transcendental_Olog
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring log:(real->(real->real))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56908>, <kernel.Constant object at 0x1f56488>) of role type named sy_c_Transcendental_Opi
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring pi:real
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f568c0>, <kernel.DependentProduct object at 0x1f56758>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring powr_real:(real->(real->real))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56368>, <kernel.DependentProduct object at 0x1f569e0>) of role type named sy_c_Transcendental_Osin_001t__Complex__Ocomplex
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring sin_complex:(complex->complex)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f563f8>, <kernel.DependentProduct object at 0x1f564d0>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring sin_real:(real->real)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56518>, <kernel.DependentProduct object at 0x1f56ab8>) of role type named sy_c_Transcendental_Osin__coeff
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring sin_coeff:(nat->real)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f569e0>, <kernel.DependentProduct object at 0x1f563f8>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring sinh_real:(real->real)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56ab8>, <kernel.DependentProduct object at 0x1f56b00>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring tan_real:(real->real)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56908>, <kernel.DependentProduct object at 0x1f56b48>) of role type named sy_c_Transcendental_Otanh_001t__Complex__Ocomplex
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring tanh_complex:(complex->complex)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56518>, <kernel.DependentProduct object at 0x1f56b90>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring tanh_real:(real->real)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56488>, <kernel.DependentProduct object at 0x1f56bd8>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f563f8>, <kernel.DependentProduct object at 0x1f56b90>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56cb0>, <kernel.DependentProduct object at 0x1f56518>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56488>, <kernel.DependentProduct object at 0x1f56cb0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56d40>, <kernel.DependentProduct object at 0x1f56518>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56488>, <kernel.DependentProduct object at 0x1f56d40>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f563f8>, <kernel.DependentProduct object at 0x1f56518>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56e60>, <kernel.DependentProduct object at 0x1f56488>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f563f8>, <kernel.DependentProduct object at 0x1f56d40>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56488>, <kernel.DependentProduct object at 0x1f563f8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56d40>, <kernel.DependentProduct object at 0x1f56518>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56f38>, <kernel.DependentProduct object at 0x1f59050>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56488>, <kernel.DependentProduct object at 0x1f55050>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56ab8>, <kernel.DependentProduct object at 0x1f55098>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56d40>, <kernel.DependentProduct object at 0x1f55170>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56488>, <kernel.DependentProduct object at 0x1f551b8>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56d40>, <kernel.DependentProduct object at 0x1f55128>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56518>, <kernel.DependentProduct object at 0x1f55050>) of role type named sy_c_VEBT__Delete_Ovebt__delete
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring vEBT_vebt_delete:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x1f56488>, <kernel.DependentProduct object at 0x1f55128>) of role type named sy_c_VEBT__Delete_Ovebt__delete__rel
% 0.69/0.86 Using role type
% 0.69/0.87 Declaring vEBT_vebt_delete_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55200>, <kernel.DependentProduct object at 0x1f551b8>) of role type named sy_c_VEBT__Insert_Ovebt__insert
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_vebt_insert:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f550e0>, <kernel.DependentProduct object at 0x1f55200>) of role type named sy_c_VEBT__Insert_Ovebt__insert__rel
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_vebt_insert_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55320>, <kernel.DependentProduct object at 0x1f55128>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55368>, <kernel.DependentProduct object at 0x1f55170>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55320>, <kernel.DependentProduct object at 0x1f55368>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull__rel
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_V6963167321098673237ll_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55440>, <kernel.DependentProduct object at 0x1f55248>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55050>, <kernel.DependentProduct object at 0x1f55440>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55170>, <kernel.DependentProduct object at 0x1f55050>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55368>, <kernel.DependentProduct object at 0x1f55248>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oadd
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_VEBT_add:(option_nat->(option_nat->option_nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55320>, <kernel.DependentProduct object at 0x1f55170>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ogreater
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_VEBT_greater:(option_nat->(option_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f554d0>, <kernel.DependentProduct object at 0x1f55368>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oless
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_VEBT_less:(option_nat->(option_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f555a8>, <kernel.DependentProduct object at 0x1f55320>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Olesseq
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_VEBT_lesseq:(option_nat->(option_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55050>, <kernel.DependentProduct object at 0x1f554d0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omax__in__set
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_VEBT_max_in_set:(set_nat->(nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55248>, <kernel.DependentProduct object at 0x1f555a8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omin__in__set
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_VEBT_min_in_set:(set_nat->(nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55170>, <kernel.DependentProduct object at 0x1f55050>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omul
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_VEBT_mul:(option_nat->(option_nat->option_nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55248>, <kernel.DependentProduct object at 0x1f557a0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_V4262088993061758097ft_nat:((nat->(nat->nat))->(option_nat->(option_nat->option_nat)))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55050>, <kernel.DependentProduct object at 0x1f558c0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Num__Onum
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_V819420779217536731ft_num:((num->(num->num))->(option_num->(option_num->option_num)))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f557a0>, <kernel.DependentProduct object at 0x1f555f0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_V1502963449132264192at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(option4927543243414619207at_nat->(option4927543243414619207at_nat->option4927543243414619207at_nat)))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55878>, <kernel.DependentProduct object at 0x1f558c0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Opower
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_VEBT_power:(option_nat->(option_nat->option_nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55128>, <kernel.DependentProduct object at 0x1f55320>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_vebt_maxt:(vEBT_VEBT->option_nat)
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55950>, <kernel.DependentProduct object at 0x1f558c0>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt__rel
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_vebt_maxt_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f555f0>, <kernel.DependentProduct object at 0x1f55a28>) of role type named sy_c_VEBT__MinMax_Ovebt__mint
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_vebt_mint:(vEBT_VEBT->option_nat)
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f559e0>, <kernel.DependentProduct object at 0x1f55950>) of role type named sy_c_VEBT__MinMax_Ovebt__mint__rel
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_vebt_mint_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f555a8>, <kernel.DependentProduct object at 0x1f555f0>) of role type named sy_c_VEBT__Pred_Ois__pred__in__set
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_is_pred_in_set:(set_nat->(nat->(nat->Prop)))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55b48>, <kernel.DependentProduct object at 0x1f557a0>) of role type named sy_c_VEBT__Pred_Ovebt__pred
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_vebt_pred:(vEBT_VEBT->(nat->option_nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55a70>, <kernel.DependentProduct object at 0x1f55a28>) of role type named sy_c_VEBT__Pred_Ovebt__pred__rel
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_vebt_pred_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f558c0>, <kernel.DependentProduct object at 0x1f557a0>) of role type named sy_c_VEBT__Succ_Ois__succ__in__set
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_is_succ_in_set:(set_nat->(nat->(nat->Prop)))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55c20>, <kernel.DependentProduct object at 0x1f559e0>) of role type named sy_c_VEBT__Succ_Ovebt__succ
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_vebt_succ:(vEBT_VEBT->(nat->option_nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55320>, <kernel.DependentProduct object at 0x1f555f0>) of role type named sy_c_VEBT__Succ_Ovebt__succ__rel
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring vEBT_vebt_succ_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55950>, <kernel.DependentProduct object at 0x1f557a0>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f559e0>, <kernel.DependentProduct object at 0x1f55a28>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f557a0>, <kernel.DependentProduct object at 0x1f55c20>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55a28>, <kernel.DependentProduct object at 0x1f55a70>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f559e0>, <kernel.DependentProduct object at 0x1f557a0>) of role type named sy_c_Wellfounded_Oaccp_001t__VEBT____Definitions__OVEBT
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring accp_VEBT_VEBT:((vEBT_VEBT->(vEBT_VEBT->Prop))->(vEBT_VEBT->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55bd8>, <kernel.DependentProduct object at 0x1f55ef0>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring fChoice_real:((real->Prop)->real)
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55c20>, <kernel.DependentProduct object at 0x1f55bd8>) of role type named sy_c_member_001_Eo
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring member_o:(Prop->(set_o->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55a70>, <kernel.DependentProduct object at 0x1f55c20>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring member_complex:(complex->(set_complex->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55e60>, <kernel.DependentProduct object at 0x1f557a0>) of role type named sy_c_member_001t__Int__Oint
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring member_int:(int->(set_int->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55ef0>, <kernel.DependentProduct object at 0x1f55bd8>) of role type named sy_c_member_001t__List__Olist_I_Eo_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring member_list_o:(list_o->(set_list_o->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55c20>, <kernel.DependentProduct object at 0x1f55e60>) of role type named sy_c_member_001t__List__Olist_It__Int__Oint_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring member_list_int:(list_int->(set_list_int->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55ef0>, <kernel.DependentProduct object at 0x1f5c098>) of role type named sy_c_member_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring member2936631157270082147T_VEBT:(list_VEBT_VEBT->(set_list_VEBT_VEBT->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55a70>, <kernel.DependentProduct object at 0x1f5c050>) of role type named sy_c_member_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring member_nat:(nat->(set_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f559e0>, <kernel.DependentProduct object at 0x1f5c170>) of role type named sy_c_member_001t__Num__Onum
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring member_num:(num->(set_num->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f559e0>, <kernel.DependentProduct object at 0x1f5c050>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring member5262025264175285858nt_int:(product_prod_int_int->(set_Pr958786334691620121nt_int->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55a70>, <kernel.DependentProduct object at 0x1f5c098>) of role type named sy_c_member_001t__Rat__Orat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring member_rat:(rat->(set_rat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f55bd8>, <kernel.DependentProduct object at 0x1f5c200>) of role type named sy_c_member_001t__Real__Oreal
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring member_real:(real->(set_real->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f559e0>, <kernel.DependentProduct object at 0x1f5c290>) of role type named sy_c_member_001t__Set__Oset_It__Nat__Onat_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring member_set_nat:(set_nat->(set_set_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f559e0>, <kernel.DependentProduct object at 0x1f5c248>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f5c200>, <kernel.Constant object at 0x1f5c248>) of role type named sy_v_deg____
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring deg:nat
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x1f5c290>, <kernel.Constant object at 0x1f5c248>) of role type named sy_v_m____
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring m:nat
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1f5c050>, <kernel.Constant object at 0x1f5c248>) of role type named sy_v_ma____
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring ma:nat
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1f5c368>, <kernel.Constant object at 0x1f5c248>) of role type named sy_v_mi____
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring mi:nat
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1f5c320>, <kernel.Constant object at 0x1f5c248>) of role type named sy_v_na____
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring na:nat
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1f5c3b0>, <kernel.Constant object at 0x1f5c248>) of role type named sy_v_summary____
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring summary:vEBT_VEBT
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1f5c3f8>, <kernel.Constant object at 0x1f5c248>) of role type named sy_v_ta____
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring ta:vEBT_VEBT
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1f5c440>, <kernel.Sort object at 0x2b5479670638>) of role type named sy_v_thesis____
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring thesis:Prop
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1f5c098>, <kernel.Constant object at 0x1f5c3b0>) of role type named sy_v_treeList____
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring treeList:list_VEBT_VEBT
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x1f5c4d0>, <kernel.Constant object at 0x1f5c3b0>) of role type named sy_v_xa____
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring xa:nat
% 0.69/0.88 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_0_bit__split__inv
% 0.69/0.88 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))
% 0.69/0.88 FOF formula (not (((eq nat) xa) mi)) of role axiom named fact_1_xnotmi
% 0.69/0.88 A new axiom: (not (((eq nat) xa) mi))
% 0.69/0.88 FOF formula ((member_VEBT_VEBT ta) (set_VEBT_VEBT2 (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na))))) of role axiom named fact_2__092_060open_062t_A_092_060in_062_Aset_A_ItreeList_A_091high_Ax_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_Ax_An_J_A_Ilow_Ax_An_J_093_J_092_060close_062
% 0.69/0.88 A new axiom: ((member_VEBT_VEBT ta) (set_VEBT_VEBT2 (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na)))))
% 0.69/0.88 FOF formula (((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na)))) ((vEBT_VEBT_high xa) na))) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na))) of role axiom named fact_3_hlist
% 0.69/0.88 A new axiom: (((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na)))) ((vEBT_VEBT_high xa) na))) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na)))
% 0.69/0.88 FOF formula ((and ((ord_less_nat ((vEBT_VEBT_high xa) na)) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))) ((ord_less_nat ((vEBT_VEBT_low xa) na)) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) of role axiom named fact_4_hlbound
% 0.69/0.88 A new axiom: ((and ((ord_less_nat ((vEBT_VEBT_high xa) na)) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))) ((ord_less_nat ((vEBT_VEBT_low xa) na)) ((power_power_nat (numeral_numeral_nat (bit0 one))) na)))
% 0.69/0.88 FOF formula ((member_VEBT_VEBT ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) (set_VEBT_VEBT2 treeList)) of role axiom named fact_5__092_060open_062treeList_A_B_Ahigh_Ax_An_A_092_060in_062_Aset_AtreeList_092_060close_062
% 0.69/0.88 A new axiom: ((member_VEBT_VEBT ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) (set_VEBT_VEBT2 treeList))
% 0.69/0.88 FOF formula (forall (_TPTP_I:nat), ((not (((eq nat) _TPTP_I) ((vEBT_VEBT_high xa) na)))->(((ord_less_nat _TPTP_I) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))->(((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na)))) _TPTP_I)) ((nth_VEBT_VEBT treeList) _TPTP_I))))) of role axiom named fact_6_nothlist
% 0.69/0.89 A new axiom: (forall (_TPTP_I:nat), ((not (((eq nat) _TPTP_I) ((vEBT_VEBT_high xa) na)))->(((ord_less_nat _TPTP_I) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))->(((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na)))) _TPTP_I)) ((nth_VEBT_VEBT treeList) _TPTP_I)))))
% 0.69/0.89 FOF formula (((eq nat) (size_s6755466524823107622T_VEBT treeList)) ((power_power_nat (numeral_numeral_nat (bit0 one))) m)) of role axiom named fact_7__C2_C
% 0.69/0.89 A new axiom: (((eq nat) (size_s6755466524823107622T_VEBT treeList)) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))
% 0.69/0.89 FOF formula (forall (X2:vEBT_VEBT), (((member_VEBT_VEBT X2) (set_VEBT_VEBT2 treeList))->((and ((vEBT_invar_vebt X2) na)) (forall (Xa:nat), ((vEBT_invar_vebt ((vEBT_vebt_delete X2) Xa)) na))))) of role axiom named fact_8__C5_OIH_C_I1_J
% 0.69/0.89 A new axiom: (forall (X2:vEBT_VEBT), (((member_VEBT_VEBT X2) (set_VEBT_VEBT2 treeList))->((and ((vEBT_invar_vebt X2) na)) (forall (Xa:nat), ((vEBT_invar_vebt ((vEBT_vebt_delete X2) Xa)) na)))))
% 0.69/0.89 FOF formula (forall (I2:nat), (((ord_less_nat I2) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))->(((eq Prop) ((ex nat) (fun (X3:nat)=> ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) I2)) X3)))) ((vEBT_V8194947554948674370ptions summary) I2)))) of role axiom named fact_9__C4_C
% 0.69/0.89 A new axiom: (forall (I2:nat), (((ord_less_nat I2) ((power_power_nat (numeral_numeral_nat (bit0 one))) m))->(((eq Prop) ((ex nat) (fun (X3:nat)=> ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) I2)) X3)))) ((vEBT_V8194947554948674370ptions summary) I2))))
% 0.69/0.89 FOF formula ((vEBT_invar_vebt ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na))) na) of role axiom named fact_10_nnvalid
% 0.69/0.89 A new axiom: ((vEBT_invar_vebt ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) na))) ((vEBT_VEBT_low xa) na))) na)
% 0.69/0.89 FOF formula (forall (Xs:list_nat) (_TPTP_I:nat), (((eq list_nat) (((list_update_nat Xs) _TPTP_I) ((nth_nat Xs) _TPTP_I))) Xs)) of role axiom named fact_11_list__update__id
% 0.69/0.89 A new axiom: (forall (Xs:list_nat) (_TPTP_I:nat), (((eq list_nat) (((list_update_nat Xs) _TPTP_I) ((nth_nat Xs) _TPTP_I))) Xs))
% 0.69/0.89 FOF formula (forall (Xs:list_int) (_TPTP_I:nat), (((eq list_int) (((list_update_int Xs) _TPTP_I) ((nth_int Xs) _TPTP_I))) Xs)) of role axiom named fact_12_list__update__id
% 0.69/0.89 A new axiom: (forall (Xs:list_int) (_TPTP_I:nat), (((eq list_int) (((list_update_int Xs) _TPTP_I) ((nth_int Xs) _TPTP_I))) Xs))
% 0.69/0.89 FOF formula (forall (Xs:list_VEBT_VEBT) (_TPTP_I:nat), (((eq list_VEBT_VEBT) (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) ((nth_VEBT_VEBT Xs) _TPTP_I))) Xs)) of role axiom named fact_13_list__update__id
% 0.69/0.89 A new axiom: (forall (Xs:list_VEBT_VEBT) (_TPTP_I:nat), (((eq list_VEBT_VEBT) (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) ((nth_VEBT_VEBT Xs) _TPTP_I))) Xs))
% 0.69/0.89 FOF formula (forall (_TPTP_I:nat) (J:nat) (Xs:list_nat) (X:nat), ((not (((eq nat) _TPTP_I) J))->(((eq nat) ((nth_nat (((list_update_nat Xs) _TPTP_I) X)) J)) ((nth_nat Xs) J)))) of role axiom named fact_14_nth__list__update__neq
% 0.69/0.89 A new axiom: (forall (_TPTP_I:nat) (J:nat) (Xs:list_nat) (X:nat), ((not (((eq nat) _TPTP_I) J))->(((eq nat) ((nth_nat (((list_update_nat Xs) _TPTP_I) X)) J)) ((nth_nat Xs) J))))
% 0.69/0.89 FOF formula (forall (_TPTP_I:nat) (J:nat) (Xs:list_int) (X:int), ((not (((eq nat) _TPTP_I) J))->(((eq int) ((nth_int (((list_update_int Xs) _TPTP_I) X)) J)) ((nth_int Xs) J)))) of role axiom named fact_15_nth__list__update__neq
% 0.69/0.89 A new axiom: (forall (_TPTP_I:nat) (J:nat) (Xs:list_int) (X:int), ((not (((eq nat) _TPTP_I) J))->(((eq int) ((nth_int (((list_update_int Xs) _TPTP_I) X)) J)) ((nth_int Xs) J))))
% 0.69/0.90 FOF formula (forall (_TPTP_I:nat) (J:nat) (Xs:list_VEBT_VEBT) (X:vEBT_VEBT), ((not (((eq nat) _TPTP_I) J))->(((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) X)) J)) ((nth_VEBT_VEBT Xs) J)))) of role axiom named fact_16_nth__list__update__neq
% 0.69/0.90 A new axiom: (forall (_TPTP_I:nat) (J:nat) (Xs:list_VEBT_VEBT) (X:vEBT_VEBT), ((not (((eq nat) _TPTP_I) J))->(((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) X)) J)) ((nth_VEBT_VEBT Xs) J))))
% 0.69/0.90 FOF formula (forall (N:nat), ((ord_less_nat N) ((power_power_nat (numeral_numeral_nat (bit0 one))) N))) of role axiom named fact_17_less__exp
% 0.69/0.90 A new axiom: (forall (N:nat), ((ord_less_nat N) ((power_power_nat (numeral_numeral_nat (bit0 one))) N)))
% 0.69/0.90 FOF formula (forall (M:num), (not (((eq num) (bit0 M)) one))) of role axiom named fact_18_semiring__norm_I85_J
% 0.69/0.90 A new axiom: (forall (M:num), (not (((eq num) (bit0 M)) one)))
% 0.69/0.90 FOF formula (forall (N:num), (not (((eq num) one) (bit0 N)))) of role axiom named fact_19_semiring__norm_I83_J
% 0.69/0.90 A new axiom: (forall (N:num), (not (((eq num) one) (bit0 N))))
% 0.69/0.90 FOF formula (forall (Ma:nat) (N:nat) (M:nat), (((ord_less_nat Ma) ((power_power_nat (numeral_numeral_nat (bit0 one))) ((plus_plus_nat N) M)))->((ord_less_nat ((vEBT_VEBT_high Ma) N)) ((power_power_nat (numeral_numeral_nat (bit0 one))) M)))) of role axiom named fact_20_high__bound__aux
% 0.69/0.90 A new axiom: (forall (Ma:nat) (N:nat) (M:nat), (((ord_less_nat Ma) ((power_power_nat (numeral_numeral_nat (bit0 one))) ((plus_plus_nat N) M)))->((ord_less_nat ((vEBT_VEBT_high Ma) N)) ((power_power_nat (numeral_numeral_nat (bit0 one))) M))))
% 0.69/0.90 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_21_numeral__less__iff
% 0.69/0.90 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)))
% 0.69/0.90 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_22_numeral__less__iff
% 0.69/0.90 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)))
% 0.69/0.90 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_23_numeral__less__iff
% 0.69/0.90 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)))
% 0.69/0.90 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_24_numeral__less__iff
% 0.69/0.90 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)))
% 0.69/0.90 FOF formula (((eq (nat->(nat->nat))) vEBT_VEBT_high) (fun (X4:nat) (N2:nat)=> ((divide_divide_nat X4) ((power_power_nat (numeral_numeral_nat (bit0 one))) N2)))) of role axiom named fact_25_high__def
% 0.69/0.90 A new axiom: (((eq (nat->(nat->nat))) vEBT_VEBT_high) (fun (X4:nat) (N2:nat)=> ((divide_divide_nat X4) ((power_power_nat (numeral_numeral_nat (bit0 one))) N2))))
% 0.69/0.90 FOF formula (((eq (nat->(nat->nat))) vEBT_VEBT_low) (fun (X4:nat) (N2:nat)=> ((modulo_modulo_nat X4) ((power_power_nat (numeral_numeral_nat (bit0 one))) N2)))) of role axiom named fact_26_low__def
% 0.69/0.90 A new axiom: (((eq (nat->(nat->nat))) vEBT_VEBT_low) (fun (X4:nat) (N2:nat)=> ((modulo_modulo_nat X4) ((power_power_nat (numeral_numeral_nat (bit0 one))) N2))))
% 0.69/0.90 FOF formula ((vEBT_invar_vebt summary) m) of role axiom named fact_27__C1_C
% 0.69/0.90 A new axiom: ((vEBT_invar_vebt summary) m)
% 0.69/0.90 FOF formula (forall (T:vEBT_VEBT) (N:nat) (X:nat) (Y:nat), (((vEBT_invar_vebt T) N)->(((eq Prop) ((vEBT_V8194947554948674370ptions ((vEBT_vebt_delete T) X)) Y)) ((and (not (((eq nat) X) Y))) ((vEBT_V8194947554948674370ptions T) Y))))) of role axiom named fact_28_dele__bmo__cont__corr
% 0.69/0.90 A new axiom: (forall (T:vEBT_VEBT) (N:nat) (X:nat) (Y:nat), (((vEBT_invar_vebt T) N)->(((eq Prop) ((vEBT_V8194947554948674370ptions ((vEBT_vebt_delete T) X)) Y)) ((and (not (((eq nat) X) Y))) ((vEBT_V8194947554948674370ptions T) Y)))))
% 0.69/0.91 FOF formula (forall (Xs:list_complex) (P:(complex->Prop)) (N:nat), ((forall (X5:complex), (((member_complex X5) (set_complex2 Xs))->(P X5)))->(((ord_less_nat N) (size_s3451745648224563538omplex Xs))->(P ((nth_complex Xs) N))))) of role axiom named fact_29_inthall
% 0.69/0.91 A new axiom: (forall (Xs:list_complex) (P:(complex->Prop)) (N:nat), ((forall (X5:complex), (((member_complex X5) (set_complex2 Xs))->(P X5)))->(((ord_less_nat N) (size_s3451745648224563538omplex Xs))->(P ((nth_complex Xs) N)))))
% 0.69/0.91 FOF formula (forall (Xs:list_real) (P:(real->Prop)) (N:nat), ((forall (X5:real), (((member_real X5) (set_real2 Xs))->(P X5)))->(((ord_less_nat N) (size_size_list_real Xs))->(P ((nth_real Xs) N))))) of role axiom named fact_30_inthall
% 0.69/0.91 A new axiom: (forall (Xs:list_real) (P:(real->Prop)) (N:nat), ((forall (X5:real), (((member_real X5) (set_real2 Xs))->(P X5)))->(((ord_less_nat N) (size_size_list_real Xs))->(P ((nth_real Xs) N)))))
% 0.69/0.91 FOF formula (forall (Xs:list_set_nat) (P:(set_nat->Prop)) (N:nat), ((forall (X5:set_nat), (((member_set_nat X5) (set_set_nat2 Xs))->(P X5)))->(((ord_less_nat N) (size_s3254054031482475050et_nat Xs))->(P ((nth_set_nat Xs) N))))) of role axiom named fact_31_inthall
% 0.69/0.91 A new axiom: (forall (Xs:list_set_nat) (P:(set_nat->Prop)) (N:nat), ((forall (X5:set_nat), (((member_set_nat X5) (set_set_nat2 Xs))->(P X5)))->(((ord_less_nat N) (size_s3254054031482475050et_nat Xs))->(P ((nth_set_nat Xs) N)))))
% 0.69/0.91 FOF formula (forall (Xs:list_nat) (P:(nat->Prop)) (N:nat), ((forall (X5:nat), (((member_nat X5) (set_nat2 Xs))->(P X5)))->(((ord_less_nat N) (size_size_list_nat Xs))->(P ((nth_nat Xs) N))))) of role axiom named fact_32_inthall
% 0.69/0.91 A new axiom: (forall (Xs:list_nat) (P:(nat->Prop)) (N:nat), ((forall (X5:nat), (((member_nat X5) (set_nat2 Xs))->(P X5)))->(((ord_less_nat N) (size_size_list_nat Xs))->(P ((nth_nat Xs) N)))))
% 0.69/0.91 FOF formula (forall (Xs:list_VEBT_VEBT) (P:(vEBT_VEBT->Prop)) (N:nat), ((forall (X5:vEBT_VEBT), (((member_VEBT_VEBT X5) (set_VEBT_VEBT2 Xs))->(P X5)))->(((ord_less_nat N) (size_s6755466524823107622T_VEBT Xs))->(P ((nth_VEBT_VEBT Xs) N))))) of role axiom named fact_33_inthall
% 0.69/0.91 A new axiom: (forall (Xs:list_VEBT_VEBT) (P:(vEBT_VEBT->Prop)) (N:nat), ((forall (X5:vEBT_VEBT), (((member_VEBT_VEBT X5) (set_VEBT_VEBT2 Xs))->(P X5)))->(((ord_less_nat N) (size_s6755466524823107622T_VEBT Xs))->(P ((nth_VEBT_VEBT Xs) N)))))
% 0.69/0.91 FOF formula (forall (Xs:list_o) (P:(Prop->Prop)) (N:nat), ((forall (X5:Prop), (((member_o X5) (set_o2 Xs))->(P X5)))->(((ord_less_nat N) (size_size_list_o Xs))->(P ((nth_o Xs) N))))) of role axiom named fact_34_inthall
% 0.69/0.91 A new axiom: (forall (Xs:list_o) (P:(Prop->Prop)) (N:nat), ((forall (X5:Prop), (((member_o X5) (set_o2 Xs))->(P X5)))->(((ord_less_nat N) (size_size_list_o Xs))->(P ((nth_o Xs) N)))))
% 0.69/0.91 FOF formula (forall (Xs:list_int) (P:(int->Prop)) (N:nat), ((forall (X5:int), (((member_int X5) (set_int2 Xs))->(P X5)))->(((ord_less_nat N) (size_size_list_int Xs))->(P ((nth_int Xs) N))))) of role axiom named fact_35_inthall
% 0.69/0.91 A new axiom: (forall (Xs:list_int) (P:(int->Prop)) (N:nat), ((forall (X5:int), (((member_int X5) (set_int2 Xs))->(P X5)))->(((ord_less_nat N) (size_size_list_int Xs))->(P ((nth_int Xs) N)))))
% 0.69/0.91 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (((eq num) M) N))) of role axiom named fact_36_numeral__eq__iff
% 0.69/0.91 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (((eq num) M) N)))
% 0.69/0.91 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq real) (numeral_numeral_real M)) (numeral_numeral_real N))) (((eq num) M) N))) of role axiom named fact_37_numeral__eq__iff
% 0.69/0.91 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq real) (numeral_numeral_real M)) (numeral_numeral_real N))) (((eq num) M) N)))
% 0.69/0.91 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq rat) (numeral_numeral_rat M)) (numeral_numeral_rat N))) (((eq num) M) N))) of role axiom named fact_38_numeral__eq__iff
% 0.69/0.92 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq rat) (numeral_numeral_rat M)) (numeral_numeral_rat N))) (((eq num) M) N)))
% 0.69/0.92 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat M)) (numeral_numeral_nat N))) (((eq num) M) N))) of role axiom named fact_39_numeral__eq__iff
% 0.69/0.92 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat M)) (numeral_numeral_nat N))) (((eq num) M) N)))
% 0.69/0.92 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq int) (numeral_numeral_int M)) (numeral_numeral_int N))) (((eq num) M) N))) of role axiom named fact_40_numeral__eq__iff
% 0.69/0.92 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq int) (numeral_numeral_int M)) (numeral_numeral_int N))) (((eq num) M) N)))
% 0.69/0.92 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq num) (bit0 M)) (bit0 N))) (((eq num) M) N))) of role axiom named fact_41_semiring__norm_I87_J
% 0.69/0.92 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq num) (bit0 M)) (bit0 N))) (((eq num) M) N)))
% 0.69/0.92 FOF formula (forall (Xs:list_VEBT_VEBT) (_TPTP_I:nat) (X:vEBT_VEBT) (Y:vEBT_VEBT), (((eq list_VEBT_VEBT) (((list_u1324408373059187874T_VEBT (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) X)) _TPTP_I) Y)) (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) Y))) of role axiom named fact_42_list__update__overwrite
% 0.69/0.92 A new axiom: (forall (Xs:list_VEBT_VEBT) (_TPTP_I:nat) (X:vEBT_VEBT) (Y:vEBT_VEBT), (((eq list_VEBT_VEBT) (((list_u1324408373059187874T_VEBT (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) X)) _TPTP_I) Y)) (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) Y)))
% 0.69/0.92 FOF formula (forall (X2:vEBT_VEBT), (((member_VEBT_VEBT X2) (set_VEBT_VEBT2 treeList))->((vEBT_invar_vebt X2) na))) of role axiom named fact_43__C0_C
% 0.69/0.92 A new axiom: (forall (X2:vEBT_VEBT), (((member_VEBT_VEBT X2) (set_VEBT_VEBT2 treeList))->((vEBT_invar_vebt X2) na)))
% 0.69/0.92 FOF formula (forall (A:nat) (B:nat), (((eq nat) ((divide_divide_nat ((power_power_nat (numeral_numeral_nat (bit0 one))) ((plus_plus_nat A) B))) ((power_power_nat (numeral_numeral_nat (bit0 one))) A))) ((power_power_nat (numeral_numeral_nat (bit0 one))) B))) of role axiom named fact_44_pow__sum
% 0.69/0.92 A new axiom: (forall (A:nat) (B:nat), (((eq nat) ((divide_divide_nat ((power_power_nat (numeral_numeral_nat (bit0 one))) ((plus_plus_nat A) B))) ((power_power_nat (numeral_numeral_nat (bit0 one))) A))) ((power_power_nat (numeral_numeral_nat (bit0 one))) B)))
% 0.69/0.92 FOF formula (forall (X:nat), ((vEBT_invar_vebt ((vEBT_vebt_delete summary) X)) m)) of role axiom named fact_45__C5_OIH_C_I2_J
% 0.69/0.92 A new axiom: (forall (X:nat), ((vEBT_invar_vebt ((vEBT_vebt_delete summary) X)) m))
% 0.69/0.92 FOF formula (((eq nat) deg) ((plus_plus_nat na) m)) of role axiom named fact_46__C3_C
% 0.69/0.92 A new axiom: (((eq nat) deg) ((plus_plus_nat na) m))
% 0.69/0.92 FOF formula (forall (M:num) (N:num), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((plus_plus_num M) N)))) of role axiom named fact_47_numeral__plus__numeral
% 0.69/0.92 A new axiom: (forall (M:num) (N:num), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((plus_plus_num M) N))))
% 0.69/0.92 FOF formula (forall (M:num) (N:num), (((eq real) ((plus_plus_real (numeral_numeral_real M)) (numeral_numeral_real N))) (numeral_numeral_real ((plus_plus_num M) N)))) of role axiom named fact_48_numeral__plus__numeral
% 0.69/0.92 A new axiom: (forall (M:num) (N:num), (((eq real) ((plus_plus_real (numeral_numeral_real M)) (numeral_numeral_real N))) (numeral_numeral_real ((plus_plus_num M) N))))
% 0.69/0.92 FOF formula (forall (M:num) (N:num), (((eq rat) ((plus_plus_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) (numeral_numeral_rat ((plus_plus_num M) N)))) of role axiom named fact_49_numeral__plus__numeral
% 0.69/0.92 A new axiom: (forall (M:num) (N:num), (((eq rat) ((plus_plus_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) (numeral_numeral_rat ((plus_plus_num M) N))))
% 0.69/0.92 FOF formula (forall (M:num) (N:num), (((eq nat) ((plus_plus_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) (numeral_numeral_nat ((plus_plus_num M) N)))) of role axiom named fact_50_numeral__plus__numeral
% 0.69/0.93 A new axiom: (forall (M:num) (N:num), (((eq nat) ((plus_plus_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) (numeral_numeral_nat ((plus_plus_num M) N))))
% 0.69/0.93 FOF formula (forall (M:num) (N:num), (((eq int) ((plus_plus_int (numeral_numeral_int M)) (numeral_numeral_int N))) (numeral_numeral_int ((plus_plus_num M) N)))) of role axiom named fact_51_numeral__plus__numeral
% 0.69/0.93 A new axiom: (forall (M:num) (N:num), (((eq int) ((plus_plus_int (numeral_numeral_int M)) (numeral_numeral_int N))) (numeral_numeral_int ((plus_plus_num M) N))))
% 0.69/0.93 FOF formula (forall (V:num) (W:num) (Z:complex), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex V)) ((plus_plus_complex (numera6690914467698888265omplex W)) Z))) ((plus_plus_complex (numera6690914467698888265omplex ((plus_plus_num V) W))) Z))) of role axiom named fact_52_add__numeral__left
% 0.69/0.93 A new axiom: (forall (V:num) (W:num) (Z:complex), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex V)) ((plus_plus_complex (numera6690914467698888265omplex W)) Z))) ((plus_plus_complex (numera6690914467698888265omplex ((plus_plus_num V) W))) Z)))
% 0.69/0.93 FOF formula (forall (V:num) (W:num) (Z:real), (((eq real) ((plus_plus_real (numeral_numeral_real V)) ((plus_plus_real (numeral_numeral_real W)) Z))) ((plus_plus_real (numeral_numeral_real ((plus_plus_num V) W))) Z))) of role axiom named fact_53_add__numeral__left
% 0.69/0.93 A new axiom: (forall (V:num) (W:num) (Z:real), (((eq real) ((plus_plus_real (numeral_numeral_real V)) ((plus_plus_real (numeral_numeral_real W)) Z))) ((plus_plus_real (numeral_numeral_real ((plus_plus_num V) W))) Z)))
% 0.69/0.93 FOF formula (forall (V:num) (W:num) (Z:rat), (((eq rat) ((plus_plus_rat (numeral_numeral_rat V)) ((plus_plus_rat (numeral_numeral_rat W)) Z))) ((plus_plus_rat (numeral_numeral_rat ((plus_plus_num V) W))) Z))) of role axiom named fact_54_add__numeral__left
% 0.69/0.93 A new axiom: (forall (V:num) (W:num) (Z:rat), (((eq rat) ((plus_plus_rat (numeral_numeral_rat V)) ((plus_plus_rat (numeral_numeral_rat W)) Z))) ((plus_plus_rat (numeral_numeral_rat ((plus_plus_num V) W))) Z)))
% 0.69/0.93 FOF formula (forall (V:num) (W:num) (Z:nat), (((eq nat) ((plus_plus_nat (numeral_numeral_nat V)) ((plus_plus_nat (numeral_numeral_nat W)) Z))) ((plus_plus_nat (numeral_numeral_nat ((plus_plus_num V) W))) Z))) of role axiom named fact_55_add__numeral__left
% 0.69/0.93 A new axiom: (forall (V:num) (W:num) (Z:nat), (((eq nat) ((plus_plus_nat (numeral_numeral_nat V)) ((plus_plus_nat (numeral_numeral_nat W)) Z))) ((plus_plus_nat (numeral_numeral_nat ((plus_plus_num V) W))) Z)))
% 0.69/0.93 FOF formula (forall (V:num) (W:num) (Z:int), (((eq int) ((plus_plus_int (numeral_numeral_int V)) ((plus_plus_int (numeral_numeral_int W)) Z))) ((plus_plus_int (numeral_numeral_int ((plus_plus_num V) W))) Z))) of role axiom named fact_56_add__numeral__left
% 0.69/0.93 A new axiom: (forall (V:num) (W:num) (Z:int), (((eq int) ((plus_plus_int (numeral_numeral_int V)) ((plus_plus_int (numeral_numeral_int W)) Z))) ((plus_plus_int (numeral_numeral_int ((plus_plus_num V) W))) Z)))
% 0.69/0.93 FOF formula (forall (Xs:list_VEBT_VEBT) (_TPTP_I:nat) (X:vEBT_VEBT), (((eq nat) (size_s6755466524823107622T_VEBT (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) X))) (size_s6755466524823107622T_VEBT Xs))) of role axiom named fact_57_length__list__update
% 0.69/0.93 A new axiom: (forall (Xs:list_VEBT_VEBT) (_TPTP_I:nat) (X:vEBT_VEBT), (((eq nat) (size_s6755466524823107622T_VEBT (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) X))) (size_s6755466524823107622T_VEBT Xs)))
% 0.69/0.93 FOF formula (forall (Xs:list_o) (_TPTP_I:nat) (X:Prop), (((eq nat) (size_size_list_o (((list_update_o Xs) _TPTP_I) X))) (size_size_list_o Xs))) of role axiom named fact_58_length__list__update
% 0.69/0.93 A new axiom: (forall (Xs:list_o) (_TPTP_I:nat) (X:Prop), (((eq nat) (size_size_list_o (((list_update_o Xs) _TPTP_I) X))) (size_size_list_o Xs)))
% 0.69/0.93 FOF formula (forall (Xs:list_int) (_TPTP_I:nat) (X:int), (((eq nat) (size_size_list_int (((list_update_int Xs) _TPTP_I) X))) (size_size_list_int Xs))) of role axiom named fact_59_length__list__update
% 0.77/0.94 A new axiom: (forall (Xs:list_int) (_TPTP_I:nat) (X:int), (((eq nat) (size_size_list_int (((list_update_int Xs) _TPTP_I) X))) (size_size_list_int Xs)))
% 0.77/0.94 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_num (bit0 M)) (bit0 N))) ((ord_less_num M) N))) of role axiom named fact_60_semiring__norm_I78_J
% 0.77/0.94 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_num (bit0 M)) (bit0 N))) ((ord_less_num M) N)))
% 0.77/0.94 FOF formula (forall (M:num), (((ord_less_num M) one)->False)) of role axiom named fact_61_semiring__norm_I75_J
% 0.77/0.94 A new axiom: (forall (M:num), (((ord_less_num M) one)->False))
% 0.77/0.94 FOF formula (forall (N:num), ((ord_less_num one) (bit0 N))) of role axiom named fact_62_semiring__norm_I76_J
% 0.77/0.94 A new axiom: (forall (N:num), ((ord_less_num one) (bit0 N)))
% 0.77/0.94 FOF formula (forall (_TPTP_I:nat) (Xs:list_nat) (X:nat), (((ord_less_nat _TPTP_I) (size_size_list_nat Xs))->(((eq nat) ((nth_nat (((list_update_nat Xs) _TPTP_I) X)) _TPTP_I)) X))) of role axiom named fact_63_nth__list__update__eq
% 0.77/0.94 A new axiom: (forall (_TPTP_I:nat) (Xs:list_nat) (X:nat), (((ord_less_nat _TPTP_I) (size_size_list_nat Xs))->(((eq nat) ((nth_nat (((list_update_nat Xs) _TPTP_I) X)) _TPTP_I)) X)))
% 0.77/0.94 FOF formula (forall (_TPTP_I:nat) (Xs:list_VEBT_VEBT) (X:vEBT_VEBT), (((ord_less_nat _TPTP_I) (size_s6755466524823107622T_VEBT Xs))->(((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) X)) _TPTP_I)) X))) of role axiom named fact_64_nth__list__update__eq
% 0.77/0.94 A new axiom: (forall (_TPTP_I:nat) (Xs:list_VEBT_VEBT) (X:vEBT_VEBT), (((ord_less_nat _TPTP_I) (size_s6755466524823107622T_VEBT Xs))->(((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) X)) _TPTP_I)) X)))
% 0.77/0.94 FOF formula (forall (_TPTP_I:nat) (Xs:list_o) (X:Prop), (((ord_less_nat _TPTP_I) (size_size_list_o Xs))->(((eq Prop) ((nth_o (((list_update_o Xs) _TPTP_I) X)) _TPTP_I)) X))) of role axiom named fact_65_nth__list__update__eq
% 0.77/0.94 A new axiom: (forall (_TPTP_I:nat) (Xs:list_o) (X:Prop), (((ord_less_nat _TPTP_I) (size_size_list_o Xs))->(((eq Prop) ((nth_o (((list_update_o Xs) _TPTP_I) X)) _TPTP_I)) X)))
% 0.77/0.94 FOF formula (forall (_TPTP_I:nat) (Xs:list_int) (X:int), (((ord_less_nat _TPTP_I) (size_size_list_int Xs))->(((eq int) ((nth_int (((list_update_int Xs) _TPTP_I) X)) _TPTP_I)) X))) of role axiom named fact_66_nth__list__update__eq
% 0.77/0.94 A new axiom: (forall (_TPTP_I:nat) (Xs:list_int) (X:int), (((ord_less_nat _TPTP_I) (size_size_list_int Xs))->(((eq int) ((nth_int (((list_update_int Xs) _TPTP_I) X)) _TPTP_I)) X)))
% 0.77/0.94 FOF formula (forall (_TPTP_I:nat) (Xs:list_nat) (J:nat), (((ord_less_nat _TPTP_I) (size_size_list_nat Xs))->(((ord_less_nat J) (size_size_list_nat Xs))->(((eq set_nat) (set_nat2 (((list_update_nat (((list_update_nat Xs) _TPTP_I) ((nth_nat Xs) J))) J) ((nth_nat Xs) _TPTP_I)))) (set_nat2 Xs))))) of role axiom named fact_67_set__swap
% 0.77/0.94 A new axiom: (forall (_TPTP_I:nat) (Xs:list_nat) (J:nat), (((ord_less_nat _TPTP_I) (size_size_list_nat Xs))->(((ord_less_nat J) (size_size_list_nat Xs))->(((eq set_nat) (set_nat2 (((list_update_nat (((list_update_nat Xs) _TPTP_I) ((nth_nat Xs) J))) J) ((nth_nat Xs) _TPTP_I)))) (set_nat2 Xs)))))
% 0.77/0.94 FOF formula (forall (_TPTP_I:nat) (Xs:list_VEBT_VEBT) (J:nat), (((ord_less_nat _TPTP_I) (size_s6755466524823107622T_VEBT Xs))->(((ord_less_nat J) (size_s6755466524823107622T_VEBT Xs))->(((eq set_VEBT_VEBT) (set_VEBT_VEBT2 (((list_u1324408373059187874T_VEBT (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) ((nth_VEBT_VEBT Xs) J))) J) ((nth_VEBT_VEBT Xs) _TPTP_I)))) (set_VEBT_VEBT2 Xs))))) of role axiom named fact_68_set__swap
% 0.77/0.94 A new axiom: (forall (_TPTP_I:nat) (Xs:list_VEBT_VEBT) (J:nat), (((ord_less_nat _TPTP_I) (size_s6755466524823107622T_VEBT Xs))->(((ord_less_nat J) (size_s6755466524823107622T_VEBT Xs))->(((eq set_VEBT_VEBT) (set_VEBT_VEBT2 (((list_u1324408373059187874T_VEBT (((list_u1324408373059187874T_VEBT Xs) _TPTP_I) ((nth_VEBT_VEBT Xs) J))) J) ((nth_VEBT_VEBT Xs) _TPTP_I)))) (set_VEBT_VEBT2 Xs)))))
% 0.77/0.94 FOF formula (forall (_TPTP_I:nat) (Xs:list_o) (J:nat), (((ord_less_nat _TPTP_I) (size_size_list_o Xs))->(((ord_less_nat J) (size_size_list_o Xs))->(((eq set_o) (set_o2 (((list_update_o (((list_update_o Xs) _TPTP_I) ((nth_o Xs) J))) J) ((nth_o Xs) _TPTP_I)))) (set_o2 Xs))))) of role axiom named fact_69_set__swap
% 0.77/0.94 A new axiom: (forall (_TPTP_I:nat) (Xs:list_o) (J:nat), (((ord_less_nat _TPTP_I) (size_size_list_o Xs))->(((ord_less_nat J) (size_size_list_o Xs))->(((eq set_o) (set_o2 (((list_update_o (((list_update_o Xs) _TPTP_I) ((nth_o Xs) J))) J) ((nth_o Xs) _TPTP_I)))) (set_o2 Xs)))))
% 0.77/0.94 FOF formula (forall (_TPTP_I:nat) (Xs:list_int) (J:nat), (((ord_less_nat _TPTP_I) (size_size_list_int Xs))->(((ord_less_nat J) (size_size_list_int Xs))->(((eq set_int) (set_int2 (((list_update_int (((list_update_int Xs) _TPTP_I) ((nth_int Xs) J))) J) ((nth_int Xs) _TPTP_I)))) (set_int2 Xs))))) of role axiom named fact_70_set__swap
% 0.77/0.94 A new axiom: (forall (_TPTP_I:nat) (Xs:list_int) (J:nat), (((ord_less_nat _TPTP_I) (size_size_list_int Xs))->(((ord_less_nat J) (size_size_list_int Xs))->(((eq set_int) (set_int2 (((list_update_int (((list_update_int Xs) _TPTP_I) ((nth_int Xs) J))) J) ((nth_int Xs) _TPTP_I)))) (set_int2 Xs)))))
% 0.77/0.94 FOF formula (((and (((eq nat) xa) mi)) (((eq nat) xa) ma))->False) of role axiom named fact_71_False
% 0.77/0.94 A new axiom: (((and (((eq nat) xa) mi)) (((eq nat) xa) ma))->False)
% 0.77/0.94 <<<_VEBT] :
% 0.77/0.94 ( ( member_VEBT_VEBT @ X2 @ ( set_VEBT_VEBT2 @ treeList ) )
% 0.77/0.94 => ~ ?>>>!!!<<< [X_1: nat] : ( vEBT_V8194947554948674370ptions @ X2 @ X_1 ) ) ) ).
% 0.77/0.94
% 0.77/0.94 % "5"
% 0.77/0.94 thf(fact_73_is_>>>
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TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,150959), LexToken(LPAR,'(',1,150962), name, LexToken(COMMA,',',1,150976), formula_role, LexToken(COMMA,',',1,150982), LexToken(LPAR,'(',1,150988), thf_unitary_formula, thf_pair_connective, thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,151010), thf_variable_list, LexToken(RBRACKET,']',1,151024), LexToken(COLON,':',1,151026), LexToken(LPAR,'(',1,151036), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.77/0.94 Unexpected exception Syntax error at '?':QUESTION
% 0.77/0.94 Traceback (most recent call last):
% 0.77/0.94 File "CASC.py", line 79, in <module>
% 0.77/0.94 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.77/0.94 File "/export/starexec/sandbox/solver/bin/TPTP.py", line 38, in __init__
% 0.77/0.94 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.77/0.94 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 265, in parse
% 0.77/0.94 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.77/0.94 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.77/0.94 tok = self.errorfunc(errtoken)
% 0.77/0.94 File "/export/starexec/sandbox/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.77/0.94 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.77/0.94 TPTPparser.TPTPParsingError: Syntax error at '?':QUESTION
%------------------------------------------------------------------------------