TSTP Solution File: ITP250^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP250^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 17:47:46 EDT 2022
% Result : Unknown 0.90s 1.09s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP250^3 : TPTP v7.6.0. Released v7.6.0.
% 0.07/0.14 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 Computer : n016.cluster.edu
% 0.13/0.35 Model : x86_64 x86_64
% 0.13/0.35 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 RAMPerCPU : 8042.1875MB
% 0.13/0.35 OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % DateTime : Fri Mar 18 12:35:25 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.13/0.36 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.37 Python 2.7.5
% 0.45/0.64 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x1972098>, <kernel.Type object at 0x19722d8>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring produc5542196010084753463at_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x1972a28>, <kernel.Type object at 0x19725a8>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring produc5491161045314408544at_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x1972518>, <kernel.Type object at 0x1972b48>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Num__Onum_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring produc1193250871479095198on_num:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x1972a28>, <kernel.Type object at 0x2abda8c52368>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring produc8306885398267862888on_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x1972638>, <kernel.Type object at 0x2abda8c527a0>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring produc6121120109295599847at_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x1972638>, <kernel.Type object at 0x2abda8c52c20>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring produc3368934014287244435at_num:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x1972a28>, <kernel.Type object at 0x1972518>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring produc4471711990508489141at_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2abda8c527e8>, <kernel.Type object at 0x2abda117ff80>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring produc7036089656553540234on_num:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2abda8c527e8>, <kernel.Type object at 0x2abda117fef0>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring produc2233624965454879586on_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2abda8c52320>, <kernel.Type object at 0x2abda117ff38>) of role type named ty_n_t__Set__Oset_It__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_fi4554929511873752355omplex:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2abda117fea8>, <kernel.Type object at 0x2abda117fdd0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring list_P7413028617227757229T_VEBT:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2abda117fd40>, <kernel.Type object at 0x2abda117fe60>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring produc3447558737645232053on_num:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2abda117fe18>, <kernel.Type object at 0x2abda117fea8>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring produc4953844613479565601on_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2abda117fcb0>, <kernel.Type object at 0x2abda117fb90>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring produc2963631642982155120at_num:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2abda117fe18>, <kernel.Type object at 0x2abda117fd40>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring produc7248412053542808358at_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2abda117fb00>, <kernel.Type object at 0x2abda117fcb0>) of role type named ty_n_t__Set__Oset_It__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_fi7789364187291644575l_real:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2abda117fa70>, <kernel.Type object at 0x2abda117fe18>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring filter6041513312241820739omplex:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2abda117f9e0>, <kernel.Type object at 0x2abda117fb00>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring list_P7037539587688870467BT_nat:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2abda117f950>, <kernel.Type object at 0x2abda117fa70>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring list_P4547456442757143711BT_int:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2abda117f8c0>, <kernel.Type object at 0x2abda117f9e0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring list_P5647936690300460905T_VEBT:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2abda117f830>, <kernel.Type object at 0x2abda117f950>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring produc8243902056947475879T_VEBT:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2abda117f7a0>, <kernel.Type object at 0x2abda117f8c0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring set_Pr5085853215250843933omplex:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2abda117f680>, <kernel.Type object at 0x2abda117f830>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring produc8923325533196201883nteger:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2abda117f5f0>, <kernel.Type object at 0x2abda117f7a0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring list_P3126845725202233233VEBT_o:Type
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2abda117f560>, <kernel.Type object at 0x2abda117f680>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring list_P7495141550334521929T_VEBT:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda117f4d0>, <kernel.Type object at 0x2abda117f5f0>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring filter2146258269922977983l_real:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda117f440>, <kernel.Type object at 0x2abda117f560>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring list_P8526636022914148096eger_o:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda117f3b0>, <kernel.Type object at 0x2abda117f4d0>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring option4927543243414619207at_nat:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda117f320>, <kernel.Type object at 0x2abda117f440>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring filter1242075044329608583at_nat:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda117f290>, <kernel.Type object at 0x2abda117f3b0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring set_Pr6218003697084177305l_real:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda117f200>, <kernel.Type object at 0x2abda117f320>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring list_P3744719386663036955um_num:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda117f170>, <kernel.Type object at 0x2abda117f290>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring list_P6011104703257516679at_nat:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda117f0e0>, <kernel.Type object at 0x2abda117f200>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring produc9072475918466114483BT_nat:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda117f050>, <kernel.Type object at 0x2abda8c50998>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring produc4894624898956917775BT_int:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda117f050>, <kernel.Type object at 0x2abda8c50830>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring set_Pr1261947904930325089at_nat:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda117f0e0>, <kernel.Type object at 0x2abda8c505f0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring set_Pr958786334691620121nt_int:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda8c50cf8>, <kernel.Type object at 0x2abda117f050>) of role type named ty_n_t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring produc4411394909380815293omplex:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda8c503b0>, <kernel.Type object at 0x194fe18>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring list_P7333126701944960589_nat_o:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda8c503b0>, <kernel.Type object at 0x194fb48>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring list_P6285523579766656935_o_nat:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda8c50cf8>, <kernel.Type object at 0x194f638>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring list_P3795440434834930179_o_int:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda8c503b0>, <kernel.Type object at 0x194fb48>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring set_list_VEBT_VEBT:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x194fd88>, <kernel.Type object at 0x194fc68>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring produc334124729049499915VEBT_o:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x194fbd8>, <kernel.Type object at 0x2abda8c503f8>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring produc2504756804600209347T_VEBT:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x194fd88>, <kernel.Type object at 0x1975fc8>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring produc6271795597528267376eger_o:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x194fd88>, <kernel.Type object at 0x1975758>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring produc2422161461964618553l_real:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x194f638>, <kernel.Type object at 0x1975fc8>) of role type named ty_n_t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring product_prod_num_num:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x194fd88>, <kernel.Type object at 0x19757e8>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring product_prod_nat_num:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x194fbd8>, <kernel.Type object at 0x1975fc8>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring product_prod_nat_nat:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x194fbd8>, <kernel.Type object at 0x2abda117d248>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring product_prod_int_int:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x19757e8>, <kernel.Type object at 0x2abda117d248>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring list_P4002435161011370285od_o_o:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x1975fc8>, <kernel.Type object at 0x2abda117d170>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Complex__Ocomplex_J_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring set_list_complex:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x1975680>, <kernel.Type object at 0x2abda117d1b8>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring list_VEBT_VEBT:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x1975fc8>, <kernel.Type object at 0x2abda117d128>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring set_list_nat:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x19757e8>, <kernel.Type object at 0x2abda117d050>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Int__Oint_J_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring set_list_int:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x19757e8>, <kernel.Type object at 0x2abda117d098>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring product_prod_o_nat:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda117d200>, <kernel.Type object at 0x2abda117d2d8>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring product_prod_o_int:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda117d0e0>, <kernel.Type object at 0x2abda117d320>) of role type named ty_n_t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring list_Code_integer:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda117d248>, <kernel.Type object at 0x2abda117d368>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring set_VEBT_VEBT:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda117d200>, <kernel.Type object at 0x2abda117d3b0>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring set_set_nat:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2abda117d0e0>, <kernel.Type object at 0x2abda117d3f8>) of role type named ty_n_t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring set_Code_integer:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d248>, <kernel.Type object at 0x2abda117d440>) of role type named ty_n_t__Set__Oset_It__Product____Type__Ounit_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring set_Product_unit:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d200>, <kernel.Type object at 0x2abda117d488>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring list_complex:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d0e0>, <kernel.Type object at 0x2abda117d4d0>) of role type named ty_n_t__Set__Oset_It__List__Olist_I_Eo_J_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring set_list_o:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d248>, <kernel.Type object at 0x2abda117d518>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring product_prod_o_o:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d200>, <kernel.Type object at 0x2abda117d560>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring set_complex:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d0e0>, <kernel.Type object at 0x2abda117d5a8>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring filter_real:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d248>, <kernel.Type object at 0x2abda117d5f0>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring option_num:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d200>, <kernel.Type object at 0x2abda117d638>) of role type named ty_n_t__Option__Ooption_It__Nat__Onat_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring option_nat:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d0e0>, <kernel.Type object at 0x2abda117d680>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring filter_nat:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d248>, <kernel.Type object at 0x2abda117d6c8>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring set_char:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d200>, <kernel.Type object at 0x2abda117d710>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring list_real:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d170>, <kernel.Type object at 0x2abda117d6c8>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring set_real:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d0e0>, <kernel.Type object at 0x2abda117d7a0>) of role type named ty_n_t__List__Olist_It__Num__Onum_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring list_num:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d200>, <kernel.Type object at 0x2abda117d830>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring list_nat:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d680>, <kernel.Type object at 0x2abda117d878>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring list_int:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d170>, <kernel.Type object at 0x2abda117d8c0>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring vEBT_VEBT:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d0e0>, <kernel.Type object at 0x2abda117d908>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring set_rat:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d200>, <kernel.Type object at 0x2abda117d950>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring set_num:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d680>, <kernel.Type object at 0x2abda117d998>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring set_nat:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d170>, <kernel.Type object at 0x2abda117d9e0>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring set_int:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d0e0>, <kernel.Type object at 0x2abda117da28>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring code_integer:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d200>, <kernel.Type object at 0x2abda117da70>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring extended_enat:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d170>, <kernel.Type object at 0x2abda117d9e0>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring list_o:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d248>, <kernel.Type object at 0x2abda117db00>) of role type named ty_n_t__Complex__Ocomplex
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring complex:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d0e0>, <kernel.Type object at 0x2abda117da28>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring set_o:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d170>, <kernel.Type object at 0x2abda117db48>) of role type named ty_n_t__String__Ochar
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring char:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d248>, <kernel.Type object at 0x2abda117db90>) of role type named ty_n_t__Real__Oreal
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring real:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d0e0>, <kernel.Type object at 0x2abda117dbd8>) of role type named ty_n_t__Rat__Orat
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring rat:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d170>, <kernel.Type object at 0x2abda117dc20>) of role type named ty_n_t__Num__Onum
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring num:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d248>, <kernel.Type object at 0x2abda117dc68>) of role type named ty_n_t__Nat__Onat
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring nat:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d0e0>, <kernel.Type object at 0x2abda117dcb0>) of role type named ty_n_t__Int__Oint
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring int:Type
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d0e0>, <kernel.DependentProduct object at 0x2abda117de60>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Rat__Orat
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring archim2889992004027027881ng_rat:(rat->int)
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117dcf8>, <kernel.DependentProduct object at 0x2abda117def0>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring archim7802044766580827645g_real:(real->int)
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117de60>, <kernel.DependentProduct object at 0x2abda117df80>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring archim3151403230148437115or_rat:(rat->int)
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117def0>, <kernel.DependentProduct object at 0x195c050>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring archim6058952711729229775r_real:(real->int)
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117df80>, <kernel.DependentProduct object at 0x195c0e0>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117df38>, <kernel.DependentProduct object at 0x195c170>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring archim8280529875227126926d_real:(real->int)
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117df38>, <kernel.Constant object at 0x195c0e0>) of role type named sy_c_BNF__Cardinal__Order__Relation_OnatLeq
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_Ca8665028551170535155natLeq:set_Pr1261947904930325089at_nat
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2abda117d680>, <kernel.Constant object at 0x195c170>) of role type named sy_c_BNF__Cardinal__Order__Relation_OnatLess
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_Ca8459412986667044542atLess:set_Pr1261947904930325089at_nat
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x195c0e0>, <kernel.DependentProduct object at 0x195c368>) of role type named sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_Eo_001_Eo
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bNF_re728719798268516973at_o_o:(((nat->rat)->((nat->rat)->Prop))->((Prop->(Prop->Prop))->(((nat->rat)->Prop)->(((nat->rat)->Prop)->Prop))))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2abda117d680>, <kernel.DependentProduct object at 0x195c200>) of role type named sy_c_Binomial_Obinomial
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring binomial:(nat->(nat->nat))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2abda117d680>, <kernel.DependentProduct object at 0x195c3b0>) of role type named sy_c_Binomial_Ogbinomial_001t__Complex__Ocomplex
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring gbinomial_complex:(complex->(nat->complex))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c440>, <kernel.DependentProduct object at 0x195c488>) of role type named sy_c_Binomial_Ogbinomial_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring gbinomial_int:(int->(nat->int))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c368>, <kernel.DependentProduct object at 0x195c170>) of role type named sy_c_Binomial_Ogbinomial_001t__Nat__Onat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring gbinomial_nat:(nat->(nat->nat))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c1b8>, <kernel.DependentProduct object at 0x195c440>) of role type named sy_c_Binomial_Ogbinomial_001t__Rat__Orat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring gbinomial_rat:(rat->(nat->rat))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c0e0>, <kernel.DependentProduct object at 0x195c368>) of role type named sy_c_Binomial_Ogbinomial_001t__Real__Oreal
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring gbinomial_real:(real->(nat->real))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c248>, <kernel.DependentProduct object at 0x195c0e0>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c200>, <kernel.DependentProduct object at 0x195c368>) of role type named sy_c_Bit__Operations_Oand__not__num
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_and_not_num:(num->(num->option_num))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c488>, <kernel.DependentProduct object at 0x195c1b8>) of role type named sy_c_Bit__Operations_Oand__not__num__rel
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_and_not_num_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c5a8>, <kernel.DependentProduct object at 0x195c488>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c6c8>, <kernel.DependentProduct object at 0x195c248>) of role type named sy_c_Bit__Operations_Oor__not__num__neg
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_or_not_num_neg:(num->(num->num))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c1b8>, <kernel.DependentProduct object at 0x195c6c8>) of role type named sy_c_Bit__Operations_Oor__not__num__neg__rel
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_or3848514188828904588eg_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c248>, <kernel.DependentProduct object at 0x195c758>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c6c8>, <kernel.DependentProduct object at 0x195c248>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c758>, <kernel.DependentProduct object at 0x195c6c8>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c248>, <kernel.DependentProduct object at 0x195c758>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Code____Numeral__Ointeger
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se3949692690581998587nteger:(code_integer->(code_integer->code_integer))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c6c8>, <kernel.DependentProduct object at 0x195c248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c758>, <kernel.DependentProduct object at 0x195c6c8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c248>, <kernel.DependentProduct object at 0x195c758>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c6c8>, <kernel.DependentProduct object at 0x195c248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c758>, <kernel.DependentProduct object at 0x195c6c8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c248>, <kernel.DependentProduct object at 0x195c758>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c6c8>, <kernel.DependentProduct object at 0x195c248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c758>, <kernel.DependentProduct object at 0x195c7e8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Code____Numeral__Ointeger
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se2119862282449309892nteger:(nat->code_integer)
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c248>, <kernel.DependentProduct object at 0x195ce18>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c7e8>, <kernel.DependentProduct object at 0x195cea8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195ce18>, <kernel.DependentProduct object at 0x195c7e8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195cea8>, <kernel.DependentProduct object at 0x195ce18>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195c7e8>, <kernel.DependentProduct object at 0x195c3b0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195ce18>, <kernel.DependentProduct object at 0x195c248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x195ce18>, <kernel.DependentProduct object at 0x195f098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.45/0.67 Using role type
% 0.45/0.68 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x195ce18>, <kernel.DependentProduct object at 0x195f200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x195c7e8>, <kernel.DependentProduct object at 0x195f290>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x195f200>, <kernel.DependentProduct object at 0x195f320>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Code____Numeral__Ointeger
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se1745604003318907178nteger:(nat->(code_integer->code_integer))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x195f098>, <kernel.DependentProduct object at 0x195f3b0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x195f248>, <kernel.DependentProduct object at 0x195f440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x195f128>, <kernel.DependentProduct object at 0x195f248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x195f440>, <kernel.DependentProduct object at 0x195f128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x195f248>, <kernel.DependentProduct object at 0x195f440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x195f128>, <kernel.DependentProduct object at 0x195f248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x195f440>, <kernel.DependentProduct object at 0x195f128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x195f248>, <kernel.DependentProduct object at 0x195f440>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x195f128>, <kernel.DependentProduct object at 0x195f248>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x195f830>, <kernel.DependentProduct object at 0x195f440>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x195f128>, <kernel.DependentProduct object at 0x195f830>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oand__num
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_un1837492267222099188nd_num:(num->(num->option_num))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x195f440>, <kernel.DependentProduct object at 0x195f128>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oand__num__rel
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_un5425074673868309765um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x195f830>, <kernel.DependentProduct object at 0x195f440>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oxor__num
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_un6178654185764691216or_num:(num->(num->option_num))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x195f128>, <kernel.DependentProduct object at 0x195f830>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oxor__num__rel
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_un3595099601533988841um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x195f440>, <kernel.DependentProduct object at 0x195f128>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_un7362597486090784418nd_num:(num->(num->option_num))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x195f830>, <kernel.DependentProduct object at 0x195f440>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num__rel
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_un4731106466462545111um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x195f128>, <kernel.DependentProduct object at 0x195f830>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_un2480387367778600638or_num:(num->(num->option_num))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x195f440>, <kernel.DependentProduct object at 0x195f128>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num__rel
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring bit_un2901131394128224187um_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x195fd40>, <kernel.DependentProduct object at 0x195f830>) of role type named sy_c_Code__Numeral_Obit__cut__integer
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring code_bit_cut_integer:(code_integer->produc6271795597528267376eger_o)
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x195f2d8>, <kernel.DependentProduct object at 0x195fd40>) of role type named sy_c_Code__Numeral_Odivmod__abs
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring code_divmod_abs:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x195fc68>, <kernel.DependentProduct object at 0x195f830>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x195fe60>, <kernel.DependentProduct object at 0x195fdd0>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring code_int_of_integer:(code_integer->int)
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x195f830>, <kernel.DependentProduct object at 0x195ff38>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring code_integer_of_int:(int->code_integer)
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x195fe18>, <kernel.DependentProduct object at 0x195fef0>) of role type named sy_c_Code__Numeral_Ointeger__of__num
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring code_integer_of_num:(num->code_integer)
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x195fc68>, <kernel.DependentProduct object at 0x195ff80>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring code_nat_of_integer:(code_integer->nat)
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x195fdd0>, <kernel.DependentProduct object at 0x195ffc8>) of role type named sy_c_Code__Numeral_Onum__of__integer
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring code_num_of_integer:(code_integer->num)
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x195fea8>, <kernel.DependentProduct object at 0x1966098>) of role type named sy_c_Code__Target__Int_Onegative
% 0.49/0.68 Using role type
% 0.49/0.68 Declaring code_Target_negative:(num->int)
% 0.49/0.68 FOF formula (<kernel.Constant object at 0x195ff38>, <kernel.DependentProduct object at 0x19660e0>) of role type named sy_c_Code__Target__Int_Opositive
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring code_Target_positive:(num->int)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x195fc68>, <kernel.DependentProduct object at 0x1966098>) 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
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring comple8358262395181532106omplex:(set_fi4554929511873752355omplex->filter6041513312241820739omplex)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x195ff38>, <kernel.DependentProduct object at 0x1966128>) 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
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring comple2936214249959783750l_real:(set_fi7789364187291644575l_real->filter2146258269922977983l_real)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x195ff38>, <kernel.DependentProduct object at 0x1966200>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Real__Oreal
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring comple4887499456419720421f_real:(set_real->real)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x195fc68>, <kernel.DependentProduct object at 0x1966290>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Real__Oreal
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring comple1385675409528146559p_real:(set_real->real)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x195ff38>, <kernel.DependentProduct object at 0x1966320>) of role type named sy_c_Complex_OArg
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring arg:(complex->real)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x195fdd0>, <kernel.DependentProduct object at 0x1966368>) of role type named sy_c_Complex_Ocis
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring cis:(real->complex)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x195fdd0>, <kernel.DependentProduct object at 0x19663b0>) of role type named sy_c_Complex_Ocnj
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring cnj:(complex->complex)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x19662d8>, <kernel.DependentProduct object at 0x19660e0>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring complex2:(real->(real->complex))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966440>, <kernel.DependentProduct object at 0x19664d0>) of role type named sy_c_Complex_Ocomplex_OIm
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring im:(complex->real)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x19660e0>, <kernel.DependentProduct object at 0x1966488>) of role type named sy_c_Complex_Ocomplex_ORe
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring re:(complex->real)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966290>, <kernel.DependentProduct object at 0x1966368>) of role type named sy_c_Complex_Ocsqrt
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring csqrt:(complex->complex)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966098>, <kernel.Constant object at 0x19664d0>) of role type named sy_c_Complex_Oimaginary__unit
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring imaginary_unit:complex
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x19663b0>, <kernel.DependentProduct object at 0x19660e0>) of role type named sy_c_Complex_Orcis
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring rcis:(real->(real->complex))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966368>, <kernel.DependentProduct object at 0x1966560>) of role type named sy_c_Deriv_Odifferentiable_001t__Real__Oreal_001t__Real__Oreal
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring differ6690327859849518006l_real:((real->real)->(filter_real->Prop))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x19660e0>, <kernel.DependentProduct object at 0x19666c8>) of role type named sy_c_Deriv_Ohas__derivative_001t__Real__Oreal_001t__Real__Oreal
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring has_de1759254742604945161l_real:((real->real)->((real->real)->(filter_real->Prop)))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966560>, <kernel.DependentProduct object at 0x1966680>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x19664d0>, <kernel.DependentProduct object at 0x19667a0>) of role type named sy_c_Divides_Oadjust__div
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring adjust_div:(product_prod_int_int->int)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966488>, <kernel.DependentProduct object at 0x1966560>) of role type named sy_c_Divides_Oadjust__mod
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring adjust_mod:(int->(int->int))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966758>, <kernel.DependentProduct object at 0x19664d0>) of role type named sy_c_Divides_Odivmod__nat
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x19662d8>, <kernel.DependentProduct object at 0x1966758>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966488>, <kernel.DependentProduct object at 0x1966680>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Code____Numeral__Ointeger
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring unique5706413561485394159nteger:(produc8923325533196201883nteger->Prop)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x19662d8>, <kernel.DependentProduct object at 0x1966878>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966680>, <kernel.DependentProduct object at 0x1966908>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966878>, <kernel.DependentProduct object at 0x1966680>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966908>, <kernel.DependentProduct object at 0x1966878>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966680>, <kernel.DependentProduct object at 0x1966908>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966878>, <kernel.DependentProduct object at 0x1966bd8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring unique4921790084139445826nteger:(num->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966908>, <kernel.DependentProduct object at 0x1966878>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966bd8>, <kernel.DependentProduct object at 0x1966908>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966878>, <kernel.DependentProduct object at 0x1966bd8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Code____Numeral__Ointeger
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring comm_s8582702949713902594nteger:(code_integer->(nat->code_integer))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966908>, <kernel.DependentProduct object at 0x1966878>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Complex__Ocomplex
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring comm_s2602460028002588243omplex:(complex->(nat->complex))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966bd8>, <kernel.DependentProduct object at 0x1966908>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Int__Oint
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring comm_s4660882817536571857er_int:(int->(nat->int))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966878>, <kernel.DependentProduct object at 0x1966bd8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Nat__Onat
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring comm_s4663373288045622133er_nat:(nat->(nat->nat))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966908>, <kernel.DependentProduct object at 0x1966878>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Rat__Orat
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring comm_s4028243227959126397er_rat:(rat->(nat->rat))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966bd8>, <kernel.DependentProduct object at 0x1966680>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Real__Oreal
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring comm_s7457072308508201937r_real:(real->(nat->real))
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966878>, <kernel.DependentProduct object at 0x19680e0>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Code____Numeral__Ointeger
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring semiri3624122377584611663nteger:(nat->code_integer)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966878>, <kernel.DependentProduct object at 0x19681b8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1966fc8>, <kernel.DependentProduct object at 0x1968248>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Int__Oint
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring semiri1406184849735516958ct_int:(nat->int)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x19680e0>, <kernel.DependentProduct object at 0x19682d8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1968050>, <kernel.DependentProduct object at 0x1968368>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Rat__Orat
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring semiri773545260158071498ct_rat:(nat->rat)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x19681b8>, <kernel.DependentProduct object at 0x19683f8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1968128>, <kernel.DependentProduct object at 0x1968488>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Complex__Ocomplex
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring invers8013647133539491842omplex:(complex->complex)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x19680e0>, <kernel.DependentProduct object at 0x1968518>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring inverse_inverse_rat:(rat->rat)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1968368>, <kernel.DependentProduct object at 0x1968560>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring inverse_inverse_real:(real->real)
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1968440>, <kernel.Constant object at 0x1968560>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring at_bot_real:filter_real
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1968518>, <kernel.Constant object at 0x1968560>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring at_top_nat:filter_nat
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x19681b8>, <kernel.Constant object at 0x1968560>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.49/0.69 Using role type
% 0.49/0.69 Declaring at_top_real:filter_real
% 0.49/0.69 FOF formula (<kernel.Constant object at 0x1968128>, <kernel.DependentProduct object at 0x1968518>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x19681b8>, <kernel.DependentProduct object at 0x19685a8>) of role type named sy_c_Filter_Oeventually_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring eventu1038000079068216329at_nat:((product_prod_nat_nat->Prop)->(filter1242075044329608583at_nat->Prop))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968488>, <kernel.DependentProduct object at 0x1968518>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x19685a8>, <kernel.DependentProduct object at 0x1968560>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x19687e8>, <kernel.DependentProduct object at 0x1968128>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968878>, <kernel.DependentProduct object at 0x19687a0>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x19688c0>, <kernel.DependentProduct object at 0x1968638>) of role type named sy_c_Filter_Ofiltermap_001t__Real__Oreal_001t__Real__Oreal
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring filtermap_real_real:((real->real)->(filter_real->filter_real))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968878>, <kernel.DependentProduct object at 0x19688c0>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring princi3496590319149328850omplex:(set_Pr5085853215250843933omplex->filter6041513312241820739omplex)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968638>, <kernel.DependentProduct object at 0x1968878>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring princi6114159922880469582l_real:(set_Pr6218003697084177305l_real->filter2146258269922977983l_real)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968830>, <kernel.DependentProduct object at 0x19688c0>) of role type named sy_c_Filter_Oprod__filter_001t__Nat__Onat_001t__Nat__Onat
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring prod_filter_nat_nat:(filter_nat->(filter_nat->filter1242075044329608583at_nat))
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968248>, <kernel.DependentProduct object at 0x19689e0>) of role type named sy_c_Finite__Set_Ocard_001_Eo
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite_card_o:(set_o->nat)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968998>, <kernel.DependentProduct object at 0x1968830>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite_card_complex:(set_complex->nat)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x19689e0>, <kernel.DependentProduct object at 0x1968ab8>) of role type named sy_c_Finite__Set_Ocard_001t__Int__Oint
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite_card_int:(set_int->nat)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x19687a0>, <kernel.DependentProduct object at 0x1968b00>) of role type named sy_c_Finite__Set_Ocard_001t__List__Olist_It__Nat__Onat_J
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite_card_list_nat:(set_list_nat->nat)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968248>, <kernel.DependentProduct object at 0x1968b48>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite_card_nat:(set_nat->nat)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x19687a0>, <kernel.DependentProduct object at 0x1968b90>) of role type named sy_c_Finite__Set_Ocard_001t__Product____Type__Ounit
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite410649719033368117t_unit:(set_Product_unit->nat)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968830>, <kernel.DependentProduct object at 0x1968c20>) of role type named sy_c_Finite__Set_Ocard_001t__String__Ochar
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite_card_char:(set_char->nat)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968a28>, <kernel.DependentProduct object at 0x1968c68>) of role type named sy_c_Finite__Set_Ofinite_001_Eo
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite_finite_o:(set_o->Prop)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x19687a0>, <kernel.DependentProduct object at 0x1968b48>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968c20>, <kernel.DependentProduct object at 0x1968cf8>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite_finite_int:(set_int->Prop)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968a28>, <kernel.DependentProduct object at 0x1968d40>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_I_Eo_J
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite_finite_list_o:(set_list_o->Prop)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968c20>, <kernel.DependentProduct object at 0x1968d88>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Complex__Ocomplex_J
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite8712137658972009173omplex:(set_list_complex->Prop)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968d40>, <kernel.DependentProduct object at 0x1968e18>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Int__Oint_J
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite3922522038869484883st_int:(set_list_int->Prop)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968d88>, <kernel.DependentProduct object at 0x1968ea8>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Nat__Onat_J
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite8100373058378681591st_nat:(set_list_nat->Prop)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968e18>, <kernel.DependentProduct object at 0x1968f38>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite3004134309566078307T_VEBT:(set_list_VEBT_VEBT->Prop)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968d88>, <kernel.DependentProduct object at 0x1968fc8>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite_finite_nat:(set_nat->Prop)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968ea8>, <kernel.DependentProduct object at 0x2abda1187050>) of role type named sy_c_Finite__Set_Ofinite_001t__Num__Onum
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite_finite_num:(set_num->Prop)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968d88>, <kernel.DependentProduct object at 0x2abda1187098>) of role type named sy_c_Finite__Set_Ofinite_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite6177210948735845034at_nat:(set_Pr1261947904930325089at_nat->Prop)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968ea8>, <kernel.DependentProduct object at 0x2abda1187128>) of role type named sy_c_Finite__Set_Ofinite_001t__Rat__Orat
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite_finite_rat:(set_rat->Prop)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968f38>, <kernel.DependentProduct object at 0x2abda1187170>) of role type named sy_c_Finite__Set_Ofinite_001t__Real__Oreal
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite_finite_real:(set_real->Prop)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x1968f38>, <kernel.DependentProduct object at 0x2abda11871b8>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Nat__Onat_J
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite1152437895449049373et_nat:(set_set_nat->Prop)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x2abda1187050>, <kernel.DependentProduct object at 0x2abda1187248>) of role type named sy_c_Finite__Set_Ofinite_001t__VEBT____Definitions__OVEBT
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring finite5795047828879050333T_VEBT:(set_VEBT_VEBT->Prop)
% 0.49/0.70 FOF formula (<kernel.Constant object at 0x2abda11871b8>, <kernel.DependentProduct object at 0x2abda1187050>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.49/0.70 Using role type
% 0.49/0.70 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x1968ea8>, <kernel.DependentProduct object at 0x2abda1187050>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2abda11873b0>, <kernel.DependentProduct object at 0x2abda11872d8>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2abda1187248>, <kernel.DependentProduct object at 0x2abda11873b0>) 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
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring comp_C8797469213163452608nteger:(((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->(code_integer->code_integer))->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2abda11872d8>, <kernel.DependentProduct object at 0x2abda1187248>) 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
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring comp_C1593894019821074884nteger:((code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->code_integer)->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2abda11874d0>, <kernel.DependentProduct object at 0x2abda1187518>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Int__Oint_001t__Num__Onum
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring comp_int_int_num:((int->int)->((num->int)->(num->int)))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2abda11871b8>, <kernel.DependentProduct object at 0x2abda1187680>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring comp_nat_nat_nat:((nat->nat)->((nat->nat)->(nat->nat)))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2abda1187368>, <kernel.DependentProduct object at 0x2abda11873b0>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Real__Oreal_001t__Nat__Onat
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring comp_nat_real_nat:((nat->real)->((nat->nat)->(nat->real)))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2abda11876c8>, <kernel.DependentProduct object at 0x2abda11875a8>) of role type named sy_c_Fun_Oid_001_Eo
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring id_o:(Prop->Prop)
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2abda11870e0>, <kernel.DependentProduct object at 0x2abda11872d8>) of role type named sy_c_Fun_Oid_001t__Nat__Onat
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring id_nat:(nat->nat)
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2abda1187440>, <kernel.DependentProduct object at 0x2abda11872d8>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Nat__Onat
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring inj_on_nat_nat:((nat->nat)->(set_nat->Prop))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2abda11870e0>, <kernel.DependentProduct object at 0x2abda1187680>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__String__Ochar
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring inj_on_nat_char:((nat->char)->(set_nat->Prop))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2abda11872d8>, <kernel.DependentProduct object at 0x2abda11876c8>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Real__Oreal
% 0.49/0.71 Using role type
% 0.49/0.71 Declaring inj_on_real_real:((real->real)->(set_real->Prop))
% 0.49/0.71 FOF formula (<kernel.Constant object at 0x2abda11870e0>, <kernel.DependentProduct object at 0x2abda1187050>) 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
% 0.49/0.72 Using role type
% 0.49/0.72 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)))))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda11876c8>, <kernel.DependentProduct object at 0x2abda11875a8>) 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
% 0.49/0.72 Using role type
% 0.49/0.72 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)))))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187050>, <kernel.DependentProduct object at 0x2abda11876c8>) 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
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring map_fu4826362097070443709at_o_o:((int->product_prod_nat_nat)->((Prop->Prop)->((product_prod_nat_nat->Prop)->(int->Prop))))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda11875a8>, <kernel.DependentProduct object at 0x2abda1187a28>) 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
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring map_fu2345160673673942751at_nat:((int->product_prod_nat_nat)->((nat->nat)->((product_prod_nat_nat->nat)->(int->nat))))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda11876c8>, <kernel.DependentProduct object at 0x2abda1187b00>) 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
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring map_fu3667384564859982768at_int:((int->product_prod_nat_nat)->((product_prod_nat_nat->int)->((product_prod_nat_nat->product_prod_nat_nat)->(int->int))))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187a28>, <kernel.DependentProduct object at 0x2abda11876c8>) of role type named sy_c_Fun_Omap__fun_001t__Rat__Orat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo_001_Eo
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring map_fu898904425404107465nt_o_o:((rat->product_prod_int_int)->((Prop->Prop)->((product_prod_int_int->Prop)->(rat->Prop))))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187b00>, <kernel.DependentProduct object at 0x2abda1187998>) of role type named sy_c_Fun_Omap__fun_001t__Real__Oreal_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_I_062_It__Nat__Onat_Mt__Rat__Orat_J_M_062_It__Nat__Onat_Mt__Rat__Orat_J_J_001_062_It__Real__Oreal_Mt__Real__Oreal_J
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring map_fu1532550112467129777l_real:((real->(nat->rat))->((((nat->rat)->(nat->rat))->(real->real))->(((nat->rat)->((nat->rat)->(nat->rat)))->(real->(real->real)))))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda11876c8>, <kernel.DependentProduct object at 0x2abda1187ab8>) of role type named sy_c_Fun_Omap__fun_001t__Real__Oreal_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring map_fu7146612038024189824t_real:((real->(nat->rat))->(((nat->rat)->real)->(((nat->rat)->(nat->rat))->(real->real))))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187998>, <kernel.DependentProduct object at 0x2abda1187b90>) of role type named sy_c_Fun_Omap__fun_001t__Real__Oreal_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_Eo_001_Eo
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring map_fu1856342031159181835at_o_o:((real->(nat->rat))->((Prop->Prop)->(((nat->rat)->Prop)->(real->Prop))))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187ab8>, <kernel.DependentProduct object at 0x2abda11879e0>) of role type named sy_c_Fun_Ostrict__mono__on_001t__Nat__Onat_001t__Nat__Onat
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring strict1292158309912662752at_nat:((nat->nat)->(set_nat->Prop))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187b90>, <kernel.DependentProduct object at 0x2abda1187dd0>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda11875a8>, <kernel.DependentProduct object at 0x2abda1187e60>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Nat__Onat
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring gcd_Gcd_nat:(set_nat->nat)
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187cf8>, <kernel.DependentProduct object at 0x2abda1187b90>) of role type named sy_c_GCD_Obezw
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring bezw:(nat->(nat->product_prod_int_int))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187e18>, <kernel.DependentProduct object at 0x2abda11875a8>) of role type named sy_c_GCD_Obezw__rel
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring bezw_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187ab8>, <kernel.DependentProduct object at 0x2abda1187cf8>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Code____Numeral__Ointeger
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring gcd_gcd_Code_integer:(code_integer->(code_integer->code_integer))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187d88>, <kernel.DependentProduct object at 0x2abda1187e18>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Int__Oint
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring gcd_gcd_int:(int->(int->int))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187ef0>, <kernel.DependentProduct object at 0x2abda1187ab8>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Nat__Onat
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring gcd_gcd_nat:(nat->(nat->nat))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187e60>, <kernel.DependentProduct object at 0x2abda1187d88>) of role type named sy_c_GCD_Ogcd__nat__rel
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring gcd_nat_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187dd0>, <kernel.DependentProduct object at 0x2abda1187ea8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187e18>, <kernel.DependentProduct object at 0x2abda118b050>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring abs_abs_complex:(complex->complex)
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187fc8>, <kernel.DependentProduct object at 0x2abda118b098>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring abs_abs_int:(int->int)
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187ea8>, <kernel.DependentProduct object at 0x2abda118b0e0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring abs_abs_rat:(rat->rat)
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187d88>, <kernel.DependentProduct object at 0x2abda118b128>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring abs_abs_real:(real->real)
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187ea8>, <kernel.DependentProduct object at 0x2abda118b1b8>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring minus_8727706125548526216plex_o:((complex->Prop)->((complex->Prop)->(complex->Prop)))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187d88>, <kernel.DependentProduct object at 0x2abda118b200>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Int__Oint_M_Eo_J
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring minus_minus_int_o:((int->Prop)->((int->Prop)->(int->Prop)))
% 0.49/0.72 FOF formula (<kernel.Constant object at 0x2abda1187ea8>, <kernel.DependentProduct object at 0x2abda118b2d8>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.49/0.72 Using role type
% 0.49/0.72 Declaring minus_1139252259498527702_nat_o:((list_nat->Prop)->((list_nat->Prop)->(list_nat->Prop)))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda1187d88>, <kernel.DependentProduct object at 0x2abda118b290>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Nat__Onat_M_Eo_J
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_minus_nat_o:((nat->Prop)->((nat->Prop)->(nat->Prop)))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b320>, <kernel.DependentProduct object at 0x2abda118b3b0>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_2270307095948843157_nat_o:((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->(product_prod_nat_nat->Prop)))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda1187ea8>, <kernel.DependentProduct object at 0x2abda118b368>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Real__Oreal_M_Eo_J
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_minus_real_o:((real->Prop)->((real->Prop)->(real->Prop)))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b2d8>, <kernel.DependentProduct object at 0x2abda118b320>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_8373710615458151222nteger:(code_integer->(code_integer->code_integer))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b3b0>, <kernel.DependentProduct object at 0x2abda118b368>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b2d8>, <kernel.DependentProduct object at 0x2abda118b3b0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Extended____Nat__Oenat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_3235023915231533773d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b4d0>, <kernel.DependentProduct object at 0x2abda118b368>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_minus_int:(int->(int->int))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b3f8>, <kernel.DependentProduct object at 0x2abda118b2d8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b5a8>, <kernel.DependentProduct object at 0x2abda118b4d0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_minus_rat:(rat->(rat->rat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b320>, <kernel.DependentProduct object at 0x2abda118b3f8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_minus_real:(real->(real->real))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b5a8>, <kernel.DependentProduct object at 0x2abda118b320>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b3b0>, <kernel.DependentProduct object at 0x2abda118b3f8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b5a8>, <kernel.DependentProduct object at 0x2abda118b3b0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_7954133019191499631st_nat:(set_list_nat->(set_list_nat->set_list_nat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b758>, <kernel.DependentProduct object at 0x2abda118b3f8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b5a8>, <kernel.DependentProduct object at 0x2abda118b710>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_1356011639430497352at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b320>, <kernel.DependentProduct object at 0x2abda118b3f8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b5a8>, <kernel.DependentProduct object at 0x2abda118b320>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring minus_5127226145743854075T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b908>, <kernel.Constant object at 0x2abda118b320>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring one_one_Code_integer:code_integer
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b3b0>, <kernel.Constant object at 0x2abda118b320>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring one_one_complex:complex
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b908>, <kernel.Constant object at 0x2abda118b710>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b7e8>, <kernel.Constant object at 0x2abda118b710>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring one_one_int:int
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b9e0>, <kernel.Constant object at 0x2abda118b710>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring one_one_nat:nat
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118ba28>, <kernel.Constant object at 0x2abda118b710>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring one_one_rat:rat
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118ba70>, <kernel.Constant object at 0x2abda118b710>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring one_one_real:real
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118ba28>, <kernel.DependentProduct object at 0x2abda118ba70>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118bbd8>, <kernel.DependentProduct object at 0x2abda118b710>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118ba28>, <kernel.DependentProduct object at 0x2abda118bbd8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118bcb0>, <kernel.DependentProduct object at 0x2abda118b710>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring plus_plus_int:(int->(int->int))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118bab8>, <kernel.DependentProduct object at 0x2abda118ba28>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118bd88>, <kernel.DependentProduct object at 0x2abda118bcb0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring plus_plus_num:(num->(num->num))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118ba70>, <kernel.DependentProduct object at 0x2abda118bab8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118bc68>, <kernel.DependentProduct object at 0x2abda118bd88>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring plus_plus_real:(real->(real->real))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118bbd8>, <kernel.DependentProduct object at 0x2abda118b710>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118bcb0>, <kernel.DependentProduct object at 0x2abda118ba28>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring sgn_sgn_complex:(complex->complex)
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118bab8>, <kernel.DependentProduct object at 0x2abda118bf38>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring sgn_sgn_int:(int->int)
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118bd88>, <kernel.DependentProduct object at 0x2abda118bf80>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring sgn_sgn_rat:(rat->rat)
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b710>, <kernel.DependentProduct object at 0x2abda118bfc8>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring sgn_sgn_real:(real->real)
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118bd88>, <kernel.DependentProduct object at 0x2abda118b710>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118bf38>, <kernel.DependentProduct object at 0x2abda118bf80>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring times_times_complex:(complex->(complex->complex))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118bd88>, <kernel.DependentProduct object at 0x2abda118b710>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118bf38>, <kernel.DependentProduct object at 0x2abda118f170>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring times_times_int:(int->(int->int))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118bd88>, <kernel.DependentProduct object at 0x2abda118f248>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring times_times_nat:(nat->(nat->nat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b710>, <kernel.DependentProduct object at 0x2abda118f290>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring times_times_num:(num->(num->num))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118bd88>, <kernel.DependentProduct object at 0x2abda118f050>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring times_times_rat:(rat->(rat->rat))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118b710>, <kernel.DependentProduct object at 0x2abda118f170>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring times_times_real:(real->(real->real))
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118f2d8>, <kernel.DependentProduct object at 0x2abda118f128>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118f248>, <kernel.DependentProduct object at 0x2abda118f3b0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.49/0.73 Using role type
% 0.49/0.73 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.49/0.73 FOF formula (<kernel.Constant object at 0x2abda118f0e0>, <kernel.DependentProduct object at 0x2abda118f440>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring uminus_uminus_int:(int->int)
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f290>, <kernel.DependentProduct object at 0x2abda118f488>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring uminus_uminus_rat:(rat->rat)
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f200>, <kernel.DependentProduct object at 0x2abda118f4d0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring uminus_uminus_real:(real->real)
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f290>, <kernel.DependentProduct object at 0x2abda118f518>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Int__Oint_J
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring uminus1532241313380277803et_int:(set_int->set_int)
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f4d0>, <kernel.DependentProduct object at 0x2abda118f5a8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f518>, <kernel.DependentProduct object at 0x2abda118f4d0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring uminus6524753893492686040at_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f5a8>, <kernel.DependentProduct object at 0x2abda118f6c8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Real__Oreal_J
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring uminus612125837232591019t_real:(set_real->set_real)
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f4d0>, <kernel.DependentProduct object at 0x2abda118f758>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring uminus8041839845116263051T_VEBT:(set_VEBT_VEBT->set_VEBT_VEBT)
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f6c8>, <kernel.Constant object at 0x2abda118f680>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring zero_z3403309356797280102nteger:code_integer
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f710>, <kernel.Constant object at 0x2abda118f680>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring zero_zero_complex:complex
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f6c8>, <kernel.Constant object at 0x2abda118f560>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f7e8>, <kernel.Constant object at 0x2abda118f560>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring zero_zero_int:int
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f878>, <kernel.Constant object at 0x2abda118f560>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring zero_zero_nat:nat
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f8c0>, <kernel.Constant object at 0x2abda118f560>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring zero_zero_rat:rat
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f908>, <kernel.Constant object at 0x2abda118f560>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring zero_zero_real:real
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f8c0>, <kernel.DependentProduct object at 0x2abda118f950>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring groups6621422865394947399nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f560>, <kernel.DependentProduct object at 0x2abda118f908>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f950>, <kernel.DependentProduct object at 0x2abda118f8c0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f908>, <kernel.DependentProduct object at 0x2abda118f560>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f8c0>, <kernel.DependentProduct object at 0x2abda118f950>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring groups5058264527183730370ex_rat:((complex->rat)->(set_complex->rat))
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f560>, <kernel.DependentProduct object at 0x2abda118f908>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f950>, <kernel.DependentProduct object at 0x2abda118f8c0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring groups7873554091576472773nteger:((int->code_integer)->(set_int->code_integer))
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f908>, <kernel.DependentProduct object at 0x2abda118f560>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Complex__Ocomplex
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring groups3049146728041665814omplex:((int->complex)->(set_int->complex))
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f8c0>, <kernel.DependentProduct object at 0x2abda118f950>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f560>, <kernel.DependentProduct object at 0x2abda118f908>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f950>, <kernel.DependentProduct object at 0x2abda118f8c0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Rat__Orat
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring groups3906332499630173760nt_rat:((int->rat)->(set_int->rat))
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f908>, <kernel.DependentProduct object at 0x2abda118f998>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f908>, <kernel.DependentProduct object at 0x2abda1194098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring groups7501900531339628137nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f908>, <kernel.DependentProduct object at 0x2abda1194128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.49/0.74 Using role type
% 0.49/0.74 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.49/0.74 FOF formula (<kernel.Constant object at 0x2abda118f950>, <kernel.DependentProduct object at 0x2abda1194170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda1194200>, <kernel.DependentProduct object at 0x2abda1194248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda11942d8>, <kernel.DependentProduct object at 0x2abda11941b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Rat__Orat
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups2906978787729119204at_rat:((nat->rat)->(set_nat->rat))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda1194290>, <kernel.DependentProduct object at 0x2abda1194200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda1194368>, <kernel.DependentProduct object at 0x2abda1194200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Complex__Ocomplex
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups6381953495645901045omplex:((product_prod_nat_nat->complex)->(set_Pr1261947904930325089at_nat->complex))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda1194290>, <kernel.DependentProduct object at 0x2abda11940e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups975429370522433651at_int:((product_prod_nat_nat->int)->(set_Pr1261947904930325089at_nat->int))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda1194200>, <kernel.DependentProduct object at 0x2abda1194488>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups977919841031483927at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->nat))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda11940e0>, <kernel.DependentProduct object at 0x2abda1194518>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Rat__Orat
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups342789780944988191at_rat:((product_prod_nat_nat->rat)->(set_Pr1261947904930325089at_nat->rat))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda1194488>, <kernel.DependentProduct object at 0x2abda11945a8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Real__Oreal
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups4567486121110086003t_real:((product_prod_nat_nat->real)->(set_Pr1261947904930325089at_nat->real))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda1194518>, <kernel.DependentProduct object at 0x2abda11943f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups7713935264441627589nteger:((real->code_integer)->(set_real->code_integer))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda11945a8>, <kernel.DependentProduct object at 0x2abda1194488>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups5754745047067104278omplex:((real->complex)->(set_real->complex))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda11943f8>, <kernel.DependentProduct object at 0x2abda1194518>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Int__Oint
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups1932886352136224148al_int:((real->int)->(set_real->int))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda1194488>, <kernel.DependentProduct object at 0x2abda11945a8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda1194518>, <kernel.DependentProduct object at 0x2abda11943f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Rat__Orat
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups1300246762558778688al_rat:((real->rat)->(set_real->rat))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda11945a8>, <kernel.DependentProduct object at 0x2abda1194488>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda11943f8>, <kernel.DependentProduct object at 0x2abda1194518>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups769130701875090982BT_int:((vEBT_VEBT->int)->(set_VEBT_VEBT->int))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda1194488>, <kernel.DependentProduct object at 0x2abda11945a8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups771621172384141258BT_nat:((vEBT_VEBT->nat)->(set_VEBT_VEBT->nat))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda1194518>, <kernel.DependentProduct object at 0x2abda11943f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Rat__Orat
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups136491112297645522BT_rat:((vEBT_VEBT->rat)->(set_VEBT_VEBT->rat))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda11945a8>, <kernel.DependentProduct object at 0x2abda1194488>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups2240296850493347238T_real:((vEBT_VEBT->real)->(set_VEBT_VEBT->real))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda11943f8>, <kernel.DependentProduct object at 0x2abda1194518>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups3708469109370488835omplex:((complex->complex)->(set_complex->complex))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda1194488>, <kernel.DependentProduct object at 0x2abda11945a8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Int__Oint
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups858564598930262913ex_int:((complex->int)->(set_complex->int))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda1194518>, <kernel.DependentProduct object at 0x2abda11943f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups225925009352817453ex_rat:((complex->rat)->(set_complex->rat))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda11945a8>, <kernel.DependentProduct object at 0x2abda1194488>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups766887009212190081x_real:((complex->real)->(set_complex->real))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda11943f8>, <kernel.DependentProduct object at 0x2abda1194518>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Complex__Ocomplex
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups7440179247065528705omplex:((int->complex)->(set_int->complex))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda1194488>, <kernel.DependentProduct object at 0x2abda11945a8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.57/0.75 Using role type
% 0.57/0.75 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.57/0.75 FOF formula (<kernel.Constant object at 0x2abda1194518>, <kernel.DependentProduct object at 0x2abda1194638>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Nat__Onat
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring groups1707563613775114915nt_nat:((int->nat)->(set_int->nat))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0x2abda1194518>, <kernel.DependentProduct object at 0x2abda1196098>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Rat__Orat
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring groups1072433553688619179nt_rat:((int->rat)->(set_int->rat))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0x2abda1194518>, <kernel.DependentProduct object at 0x2abda1196128>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Real__Oreal
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring groups2316167850115554303t_real:((int->real)->(set_int->real))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0x2abda1194488>, <kernel.DependentProduct object at 0x2abda1196170>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring groups6464643781859351333omplex:((nat->complex)->(set_nat->complex))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0x2abda1196200>, <kernel.DependentProduct object at 0x2abda1196248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0x2abda11962d8>, <kernel.DependentProduct object at 0x2abda11961b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0x2abda1196290>, <kernel.DependentProduct object at 0x2abda1196200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Rat__Orat
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring groups73079841787564623at_rat:((nat->rat)->(set_nat->rat))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0x2abda1196368>, <kernel.DependentProduct object at 0x2abda11963f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Real__Oreal
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring groups129246275422532515t_real:((nat->real)->(set_nat->real))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0x2abda1196290>, <kernel.DependentProduct object at 0x2abda11962d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring groups713298508707869441omplex:((real->complex)->(set_real->complex))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0x2abda11963f8>, <kernel.DependentProduct object at 0x2abda1196368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Int__Oint
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring groups4694064378042380927al_int:((real->int)->(set_real->int))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0x2abda11962d8>, <kernel.DependentProduct object at 0x2abda1196290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Rat__Orat
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring groups4061424788464935467al_rat:((real->rat)->(set_real->rat))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0x2abda1196368>, <kernel.DependentProduct object at 0x2abda11963f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Real__Oreal
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring groups1681761925125756287l_real:((real->real)->(set_real->real))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0x2abda1196290>, <kernel.DependentProduct object at 0x2abda11962d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__VEBT____Definitions__OVEBT_001t__Rat__Orat
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring groups5726676334696518183BT_rat:((vEBT_VEBT->rat)->(set_VEBT_VEBT->rat))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0x2abda11963f8>, <kernel.DependentProduct object at 0x2abda1196368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring groups2703838992350267259T_real:((vEBT_VEBT->real)->(set_VEBT_VEBT->real))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2abda11962d8>, <kernel.DependentProduct object at 0x2abda11963f8>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Int__Oint
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring groups9116527308978886569_o_int:((Prop->int)->(int->(list_o->int)))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2abda1196368>, <kernel.DependentProduct object at 0x2abda11969e0>) of role type named sy_c_Groups__List_Omonoid__add__class_Osum__list_001t__Nat__Onat
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring groups4561878855575611511st_nat:(list_nat->nat)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2abda1196320>, <kernel.DependentProduct object at 0x2abda1196a28>) of role type named sy_c_HOL_OThe_001t__Int__Oint
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring the_int:((int->Prop)->int)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2abda11963f8>, <kernel.DependentProduct object at 0x2abda1196368>) of role type named sy_c_HOL_OThe_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring the_Pr4378521158711661632nt_int:((product_prod_int_int->Prop)->product_prod_int_int)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2abda1196908>, <kernel.DependentProduct object at 0x2abda1196b00>) of role type named sy_c_HOL_OThe_001t__Real__Oreal
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring the_real:((real->Prop)->real)
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2abda11968c0>, <kernel.DependentProduct object at 0x2abda1196b48>) of role type named sy_c_If_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring if_int_int:(Prop->((int->int)->((int->int)->(int->int))))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2abda11963f8>, <kernel.DependentProduct object at 0x2abda11969e0>) of role type named sy_c_If_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring if_nat_rat:(Prop->((nat->rat)->((nat->rat)->(nat->rat))))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2abda1196908>, <kernel.DependentProduct object at 0x2abda11969e0>) of role type named sy_c_If_001t__Code____Numeral__Ointeger
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring if_Code_integer:(Prop->(code_integer->(code_integer->code_integer)))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2abda1196830>, <kernel.DependentProduct object at 0x2abda1196b00>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2abda1196cb0>, <kernel.DependentProduct object at 0x2abda1196830>) of role type named sy_c_If_001t__Extended____Nat__Oenat
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring if_Extended_enat:(Prop->(extended_enat->(extended_enat->extended_enat)))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2abda1196320>, <kernel.DependentProduct object at 0x2abda1196830>) of role type named sy_c_If_001t__Int__Oint
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring if_int:(Prop->(int->(int->int)))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2abda1196b90>, <kernel.DependentProduct object at 0x2abda1196830>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2abda1196d40>, <kernel.DependentProduct object at 0x2abda1196830>) of role type named sy_c_If_001t__List__Olist_It__Nat__Onat_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring if_list_nat:(Prop->(list_nat->(list_nat->list_nat)))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2abda1196d88>, <kernel.DependentProduct object at 0x2abda1196830>) of role type named sy_c_If_001t__Nat__Onat
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2abda1196dd0>, <kernel.DependentProduct object at 0x2abda1196830>) of role type named sy_c_If_001t__Num__Onum
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring if_num:(Prop->(num->(num->num)))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2abda1196e18>, <kernel.DependentProduct object at 0x2abda1196830>) of role type named sy_c_If_001t__Option__Ooption_It__Nat__Onat_J
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring if_option_nat:(Prop->(option_nat->(option_nat->option_nat)))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2abda1196e60>, <kernel.DependentProduct object at 0x2abda1196830>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1196e18>, <kernel.DependentProduct object at 0x2abda1196368>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring if_Pro5737122678794959658eger_o:(Prop->(produc6271795597528267376eger_o->(produc6271795597528267376eger_o->produc6271795597528267376eger_o)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1196830>, <kernel.DependentProduct object at 0x2abda1196908>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1196368>, <kernel.DependentProduct object at 0x2abda11969e0>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1196908>, <kernel.DependentProduct object at 0x2abda1196e60>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1196368>, <kernel.DependentProduct object at 0x2abda1197050>) of role type named sy_c_If_001t__Rat__Orat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda11969e0>, <kernel.DependentProduct object at 0x2abda11970e0>) of role type named sy_c_If_001t__Real__Oreal
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring if_real:(Prop->(real->(real->real)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1196908>, <kernel.DependentProduct object at 0x2abda11971b8>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1196368>, <kernel.DependentProduct object at 0x2abda1197170>) of role type named sy_c_If_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring if_set_nat:(Prop->(set_nat->(set_nat->set_nat)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1196908>, <kernel.DependentProduct object at 0x2abda1197170>) of role type named sy_c_If_001t__VEBT____Definitions__OVEBT
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring if_VEBT_VEBT:(Prop->(vEBT_VEBT->(vEBT_VEBT->vEBT_VEBT)))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1197098>, <kernel.DependentProduct object at 0x2abda1197128>) of role type named sy_c_Infinite__Set_Owellorder__class_Oenumerate_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring infini8530281810654367211te_nat:(set_nat->(nat->nat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1196908>, <kernel.DependentProduct object at 0x2abda1197050>) of role type named sy_c_Int_OAbs__Integ
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring abs_Integ:(product_prod_nat_nat->int)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1196908>, <kernel.DependentProduct object at 0x2abda1197320>) of role type named sy_c_Int_ORep__Integ
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring rep_Integ:(int->product_prod_nat_nat)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1197200>, <kernel.DependentProduct object at 0x2abda1197098>) of role type named sy_c_Int_Oint__ge__less__than
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring int_ge_less_than:(int->set_Pr958786334691620121nt_int)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1197290>, <kernel.DependentProduct object at 0x2abda1197320>) of role type named sy_c_Int_Oint__ge__less__than2
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring int_ge_less_than2:(int->set_Pr958786334691620121nt_int)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda11972d8>, <kernel.DependentProduct object at 0x2abda11973b0>) of role type named sy_c_Int_Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring nat2:(int->nat)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1197320>, <kernel.DependentProduct object at 0x2abda1197200>) of role type named sy_c_Int_Opower__int_001t__Real__Oreal
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring power_int_real:(real->(int->real))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1197440>, <kernel.Constant object at 0x2abda1197200>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Real__Oreal
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring ring_1_Ints_real:set_real
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1197320>, <kernel.DependentProduct object at 0x2abda1197128>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1197200>, <kernel.DependentProduct object at 0x2abda1197560>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda11973b0>, <kernel.DependentProduct object at 0x2abda11975f0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring ring_1_of_int_int:(int->int)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1197488>, <kernel.DependentProduct object at 0x2abda1197638>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Rat__Orat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring ring_1_of_int_rat:(int->rat)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1197518>, <kernel.DependentProduct object at 0x2abda1197680>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring ring_1_of_int_real:(int->real)
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1197488>, <kernel.DependentProduct object at 0x2abda1197518>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Extended____Nat__Oenat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring inf_in1870772243966228564d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda11976c8>, <kernel.DependentProduct object at 0x2abda1197680>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring inf_inf_nat:(nat->(nat->nat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1197488>, <kernel.DependentProduct object at 0x2abda1197200>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring inf_in2572325071724192079at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1197680>, <kernel.DependentProduct object at 0x2abda11976c8>) of role type named sy_c_Lattices_Osemilattice__neutr__order_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring semila1623282765462674594er_nat:((nat->(nat->nat))->(nat->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1197200>, <kernel.DependentProduct object at 0x2abda1197680>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Extended____Nat__Oenat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring sup_su3973961784419623482d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1197908>, <kernel.DependentProduct object at 0x2abda11976c8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring sup_sup_nat:(nat->(nat->nat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1197878>, <kernel.DependentProduct object at 0x2abda1197200>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring sup_sup_set_nat:(set_nat->(set_nat->set_nat))
% 0.59/0.77 FOF formula (<kernel.Constant object at 0x2abda1197908>, <kernel.DependentProduct object at 0x2abda1197680>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.59/0.77 Using role type
% 0.59/0.77 Declaring sup_su6327502436637775413at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197200>, <kernel.DependentProduct object at 0x2abda1197878>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197758>, <kernel.DependentProduct object at 0x2abda1197a70>) of role type named sy_c_Limits_OBfun_001t__Nat__Onat_001t__Real__Oreal
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring bfun_nat_real:((nat->real)->(filter_nat->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197050>, <kernel.DependentProduct object at 0x2abda1197758>) of role type named sy_c_List_Oappend_001t__Int__Oint
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring append_int:(list_int->(list_int->list_int))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197878>, <kernel.DependentProduct object at 0x2abda1197a70>) of role type named sy_c_List_Oappend_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring append_nat:(list_nat->(list_nat->list_nat))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197b90>, <kernel.DependentProduct object at 0x2abda1197050>) of role type named sy_c_List_Odrop_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring drop_nat:(nat->(list_nat->list_nat))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197200>, <kernel.DependentProduct object at 0x2abda1197cb0>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197b00>, <kernel.DependentProduct object at 0x2abda1197b90>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring cons_int:(int->(list_int->list_int))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda11979e0>, <kernel.DependentProduct object at 0x2abda1197200>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197cf8>, <kernel.Constant object at 0x2abda1197200>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nil_int:list_int
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197b90>, <kernel.Constant object at 0x2abda1197200>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nil_nat:list_nat
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197bd8>, <kernel.DependentProduct object at 0x2abda1197e18>) of role type named sy_c_List_Olist_Ohd_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring hd_nat:(list_nat->nat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197d88>, <kernel.DependentProduct object at 0x2abda1197e18>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring map_nat_nat:((nat->nat)->(list_nat->list_nat))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197cf8>, <kernel.DependentProduct object at 0x2abda1197e60>) of role type named sy_c_List_Olist_Oset_001_Eo
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring set_o2:(list_o->set_o)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197758>, <kernel.DependentProduct object at 0x2abda1197cb0>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring set_complex2:(list_complex->set_complex)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197b90>, <kernel.DependentProduct object at 0x2abda1197ef0>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring set_int2:(list_int->set_int)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197e18>, <kernel.DependentProduct object at 0x2abda1197f38>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring set_nat2:(list_nat->set_nat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197b90>, <kernel.DependentProduct object at 0x2abda1197e18>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring set_Pr5648618587558075414at_nat:(list_P6011104703257516679at_nat->set_Pr1261947904930325089at_nat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197ef0>, <kernel.DependentProduct object at 0x2abda119c050>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring set_real2:(list_real->set_real)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197cf8>, <kernel.DependentProduct object at 0x2abda119c098>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197e18>, <kernel.DependentProduct object at 0x2abda1197fc8>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197878>, <kernel.DependentProduct object at 0x2abda119c128>) of role type named sy_c_List_Olist_Otl_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring tl_nat:(list_nat->list_nat)
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197ef0>, <kernel.DependentProduct object at 0x2abda119c098>) of role type named sy_c_List_Olist__update_001_Eo
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring list_update_o:(list_o->(nat->(Prop->list_o)))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197e18>, <kernel.DependentProduct object at 0x2abda119c200>) of role type named sy_c_List_Olist__update_001t__Complex__Ocomplex
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring list_update_complex:(list_complex->(nat->(complex->list_complex)))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197b90>, <kernel.DependentProduct object at 0x2abda119c1b8>) of role type named sy_c_List_Olist__update_001t__Int__Oint
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring list_update_int:(list_int->(nat->(int->list_int)))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197e18>, <kernel.DependentProduct object at 0x2abda119c050>) of role type named sy_c_List_Olist__update_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring list_update_nat:(list_nat->(nat->(nat->list_nat)))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda119c320>, <kernel.DependentProduct object at 0x2abda119c098>) of role type named sy_c_List_Olist__update_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring list_u6180841689913720943at_nat:(list_P6011104703257516679at_nat->(nat->(product_prod_nat_nat->list_P6011104703257516679at_nat)))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda1197b90>, <kernel.DependentProduct object at 0x2abda119c200>) of role type named sy_c_List_Olist__update_001t__Real__Oreal
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring list_update_real:(list_real->(nat->(real->list_real)))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda119c368>, <kernel.DependentProduct object at 0x2abda119c320>) of role type named sy_c_List_Olist__update_001t__VEBT____Definitions__OVEBT
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring list_u1324408373059187874T_VEBT:(list_VEBT_VEBT->(nat->(vEBT_VEBT->list_VEBT_VEBT)))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda119c440>, <kernel.DependentProduct object at 0x2abda119c200>) of role type named sy_c_List_Onth_001_Eo
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_o:(list_o->(nat->Prop))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda119c3b0>, <kernel.DependentProduct object at 0x2abda119c368>) of role type named sy_c_List_Onth_001t__Code____Numeral__Ointeger
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_Code_integer:(list_Code_integer->(nat->code_integer))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda119c488>, <kernel.DependentProduct object at 0x2abda119c440>) of role type named sy_c_List_Onth_001t__Complex__Ocomplex
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_complex:(list_complex->(nat->complex))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda119c050>, <kernel.DependentProduct object at 0x2abda119c488>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_int:(list_int->(nat->int))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda119c290>, <kernel.DependentProduct object at 0x2abda119c440>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.59/0.78 Using role type
% 0.59/0.78 Declaring nth_nat:(list_nat->(nat->nat))
% 0.59/0.78 FOF formula (<kernel.Constant object at 0x2abda119c320>, <kernel.DependentProduct object at 0x2abda119c050>) of role type named sy_c_List_Onth_001t__Num__Onum
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring nth_num:(list_num->(nat->num))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119c368>, <kernel.DependentProduct object at 0x2abda119c3b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring nth_Product_prod_o_o:(list_P4002435161011370285od_o_o->(nat->product_prod_o_o))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119c290>, <kernel.DependentProduct object at 0x2abda119c368>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring nth_Pr1649062631805364268_o_int:(list_P3795440434834930179_o_int->(nat->product_prod_o_int))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119c3b0>, <kernel.DependentProduct object at 0x2abda119c290>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring nth_Pr5826913651314560976_o_nat:(list_P6285523579766656935_o_nat->(nat->product_prod_o_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119c368>, <kernel.DependentProduct object at 0x2abda119c3b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring nth_Pr6777367263587873994T_VEBT:(list_P7495141550334521929T_VEBT->(nat->produc2504756804600209347T_VEBT))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119c290>, <kernel.DependentProduct object at 0x2abda119c368>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring nth_Pr8522763379788166057eger_o:(list_P8526636022914148096eger_o->(nat->produc6271795597528267376eger_o))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119c3b0>, <kernel.DependentProduct object at 0x2abda119c290>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring nth_Pr7617993195940197384at_nat:(list_P6011104703257516679at_nat->(nat->product_prod_nat_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119c368>, <kernel.DependentProduct object at 0x2abda119c3b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring nth_Pr6456567536196504476um_num:(list_P3744719386663036955um_num->(nat->product_prod_num_num))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119c290>, <kernel.DependentProduct object at 0x2abda119c368>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119c3b0>, <kernel.DependentProduct object at 0x2abda119c290>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring nth_Pr6837108013167703752BT_int:(list_P4547456442757143711BT_int->(nat->produc4894624898956917775BT_int))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119c368>, <kernel.DependentProduct object at 0x2abda119c3b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring nth_Pr1791586995822124652BT_nat:(list_P7037539587688870467BT_nat->(nat->produc9072475918466114483BT_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119c290>, <kernel.DependentProduct object at 0x2abda119c368>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119c560>, <kernel.DependentProduct object at 0x2abda119c290>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring nth_real:(list_real->(nat->real))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119cbd8>, <kernel.DependentProduct object at 0x2abda119c3b0>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119cb48>, <kernel.DependentProduct object at 0x2abda119cbd8>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119ccb0>, <kernel.DependentProduct object at 0x2abda119c368>) of role type named sy_c_List_Oproduct_001_Eo_001t__Int__Oint
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring product_o_int:(list_o->(list_int->list_P3795440434834930179_o_int))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119ccf8>, <kernel.DependentProduct object at 0x2abda119c3b0>) of role type named sy_c_List_Oproduct_001_Eo_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring product_o_nat:(list_o->(list_nat->list_P6285523579766656935_o_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119c560>, <kernel.DependentProduct object at 0x2abda119ccb0>) of role type named sy_c_List_Oproduct_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring product_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119ccf8>, <kernel.DependentProduct object at 0x2abda119c560>) of role type named sy_c_List_Oproduct_001t__Code____Numeral__Ointeger_001_Eo
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring produc3607205314601156340eger_o:(list_Code_integer->(list_o->list_P8526636022914148096eger_o))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119cd40>, <kernel.DependentProduct object at 0x2abda119ccb0>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001_Eo
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring product_nat_o:(list_nat->(list_o->list_P7333126701944960589_nat_o))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119ccf8>, <kernel.DependentProduct object at 0x2abda119cd40>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring produc7156399406898700509T_VEBT:(list_nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119cd88>, <kernel.DependentProduct object at 0x2abda119ccb0>) of role type named sy_c_List_Oproduct_001t__Num__Onum_001t__Num__Onum
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring product_num_num:(list_num->(list_num->list_P3744719386663036955um_num))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119cef0>, <kernel.DependentProduct object at 0x2abda119ccf8>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119cd88>, <kernel.DependentProduct object at 0x2abda119cef0>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring produc7292646706713671643BT_int:(list_VEBT_VEBT->(list_int->list_P4547456442757143711BT_int))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119ccf8>, <kernel.DependentProduct object at 0x2abda119cd88>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring produc7295137177222721919BT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119cef0>, <kernel.DependentProduct object at 0x1f0c050>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119cf38>, <kernel.DependentProduct object at 0x1f0c0e0>) of role type named sy_c_List_Oreplicate_001_Eo
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring replicate_o:(nat->(Prop->list_o))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119cf80>, <kernel.DependentProduct object at 0x1f0c170>) of role type named sy_c_List_Oreplicate_001t__Complex__Ocomplex
% 0.59/0.79 Using role type
% 0.59/0.79 Declaring replicate_complex:(nat->(complex->list_complex))
% 0.59/0.79 FOF formula (<kernel.Constant object at 0x2abda119cef0>, <kernel.DependentProduct object at 0x1f0c200>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring replicate_int:(nat->(int->list_int))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2abda119cf38>, <kernel.DependentProduct object at 0x1f0c248>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c128>, <kernel.DependentProduct object at 0x1f0c290>) of role type named sy_c_List_Oreplicate_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring replic4235873036481779905at_nat:(nat->(product_prod_nat_nat->list_P6011104703257516679at_nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2abda119cf38>, <kernel.DependentProduct object at 0x1f0c200>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring replicate_real:(nat->(real->list_real))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x2abda119cf38>, <kernel.DependentProduct object at 0x1f0c248>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c320>, <kernel.DependentProduct object at 0x1f0c0e0>) of role type named sy_c_List_Osorted__wrt_001t__Int__Oint
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring sorted_wrt_int:((int->(int->Prop))->(list_int->Prop))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c248>, <kernel.DependentProduct object at 0x1f0c3b0>) of role type named sy_c_List_Osorted__wrt_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring sorted_wrt_nat:((nat->(nat->Prop))->(list_nat->Prop))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c2d8>, <kernel.DependentProduct object at 0x1f0c248>) of role type named sy_c_List_Otake_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring take_nat:(nat->(list_nat->list_nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c440>, <kernel.DependentProduct object at 0x1f0c320>) of role type named sy_c_List_Oupt
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring upt:(nat->(nat->list_nat))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c4d0>, <kernel.DependentProduct object at 0x1f0c3b0>) of role type named sy_c_List_Oupto
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring upto:(int->(int->list_int))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c488>, <kernel.DependentProduct object at 0x1f0c440>) of role type named sy_c_List_Oupto__aux
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c1b8>, <kernel.DependentProduct object at 0x1f0c248>) of role type named sy_c_Nat_OSuc
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring suc:(nat->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c320>, <kernel.DependentProduct object at 0x1f0c170>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c0e0>, <kernel.DependentProduct object at 0x1f0c680>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c488>, <kernel.DependentProduct object at 0x1f0c638>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c5f0>, <kernel.DependentProduct object at 0x1f0c6c8>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Option__Ooption_It__Num__Onum_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring case_nat_option_num:(option_num->((nat->option_num)->(nat->option_num)))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c710>, <kernel.DependentProduct object at 0x1f0c170>) of role type named sy_c_Nat_Onat_Opred
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring pred:(nat->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c5f0>, <kernel.DependentProduct object at 0x1f0c758>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c170>, <kernel.DependentProduct object at 0x1f0c1b8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c758>, <kernel.DependentProduct object at 0x1f0c7e8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Extended____Nat__Oenat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri4216267220026989637d_enat:(nat->extended_enat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c1b8>, <kernel.DependentProduct object at 0x1f0c878>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c7e8>, <kernel.DependentProduct object at 0x1f0c908>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c878>, <kernel.DependentProduct object at 0x1f0c998>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c908>, <kernel.DependentProduct object at 0x1f0ca28>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c998>, <kernel.DependentProduct object at 0x1f0c0e0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Complex__Ocomplex
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri2816024913162550771omplex:((complex->complex)->(nat->(complex->complex)))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0ca28>, <kernel.DependentProduct object at 0x1f0cb00>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Int__Oint
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri8420488043553186161ux_int:((int->int)->(nat->(int->int)))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c0e0>, <kernel.DependentProduct object at 0x1f0cb90>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Nat__Onat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri8422978514062236437ux_nat:((nat->nat)->(nat->(nat->nat)))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0cb00>, <kernel.DependentProduct object at 0x1f0cc20>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Rat__Orat
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri7787848453975740701ux_rat:((rat->rat)->(nat->(rat->rat)))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0cb90>, <kernel.DependentProduct object at 0x1f0ccb0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Real__Oreal
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring semiri7260567687927622513x_real:((real->real)->(nat->(real->real)))
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0cd40>, <kernel.DependentProduct object at 0x1f0ce18>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_size_list_o:(list_o->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0cb90>, <kernel.DependentProduct object at 0x1f0cdd0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s3445333598471063425nteger:(list_Code_integer->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0ce18>, <kernel.DependentProduct object at 0x1f0ce60>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0cb48>, <kernel.DependentProduct object at 0x1f0cef0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_size_list_int:(list_int->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0cc20>, <kernel.DependentProduct object at 0x1f0cf38>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_size_list_nat:(list_nat->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0c9e0>, <kernel.DependentProduct object at 0x1f0cf80>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Num__Onum_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_size_list_num:(list_num->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0cc20>, <kernel.DependentProduct object at 0x1f0cfc8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s1515746228057227161od_o_o:(list_P4002435161011370285od_o_o->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0cf80>, <kernel.DependentProduct object at 0x1ef4098>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s2953683556165314199_o_int:(list_P3795440434834930179_o_int->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0cfc8>, <kernel.DependentProduct object at 0x1ef4128>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s5443766701097040955_o_nat:(list_P6285523579766656935_o_nat->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0cfc8>, <kernel.DependentProduct object at 0x1ef41b8>) 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
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s4313452262239582901T_VEBT:(list_P7495141550334521929T_VEBT->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1f0cb48>, <kernel.DependentProduct object at 0x1ef4248>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s6491369823275344609_nat_o:(list_P7333126701944960589_nat_o->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1ef4170>, <kernel.DependentProduct object at 0x1ef42d8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s5460976970255530739at_nat:(list_P6011104703257516679at_nat->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1ef40e0>, <kernel.DependentProduct object at 0x1ef4368>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s4762443039079500285T_VEBT:(list_P5647936690300460905T_VEBT->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1ef4200>, <kernel.DependentProduct object at 0x1ef43f8>) 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
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s9168528473962070013VEBT_o:(list_P3126845725202233233VEBT_o->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1ef4098>, <kernel.DependentProduct object at 0x1ef4488>) 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
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s3661962791536183091BT_int:(list_P4547456442757143711BT_int->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1ef4200>, <kernel.DependentProduct object at 0x1ef4518>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s6152045936467909847BT_nat:(list_P7037539587688870467BT_nat->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1ef4488>, <kernel.DependentProduct object at 0x1ef45a8>) 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
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_s7466405169056248089T_VEBT:(list_P7413028617227757229T_VEBT->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1ef44d0>, <kernel.DependentProduct object at 0x1ef4638>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.59/0.80 Using role type
% 0.59/0.80 Declaring size_size_list_real:(list_real->nat)
% 0.59/0.80 FOF formula (<kernel.Constant object at 0x1ef4488>, <kernel.DependentProduct object at 0x1ef4680>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4098>, <kernel.DependentProduct object at 0x1ef4710>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring size_size_num:(num->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef45a8>, <kernel.DependentProduct object at 0x1ef4758>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Nat__Onat_J
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring size_size_option_nat:(option_nat->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4518>, <kernel.DependentProduct object at 0x1ef47a0>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring size_size_option_num:(option_num->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef45a8>, <kernel.DependentProduct object at 0x1ef47e8>) 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
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4758>, <kernel.DependentProduct object at 0x1ef4878>) of role type named sy_c_Nat_Osize__class_Osize_001t__String__Ochar
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring size_size_char:(char->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4488>, <kernel.DependentProduct object at 0x1ef48c0>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4290>, <kernel.DependentProduct object at 0x1ef4950>) of role type named sy_c_Nat__Bijection_Olist__encode
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring nat_list_encode:(list_nat->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4878>, <kernel.DependentProduct object at 0x1ef4758>) of role type named sy_c_Nat__Bijection_Olist__encode__rel
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring nat_list_encode_rel:(list_nat->(list_nat->Prop))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef47e8>, <kernel.DependentProduct object at 0x1ef48c0>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4878>, <kernel.DependentProduct object at 0x1ef47e8>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4098>, <kernel.DependentProduct object at 0x1ef4ab8>) of role type named sy_c_Nat__Bijection_Oprod__encode
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring nat_prod_encode:(product_prod_nat_nat->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4950>, <kernel.DependentProduct object at 0x1ef4b00>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring nat_set_decode:(nat->set_nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4488>, <kernel.DependentProduct object at 0x1ef4b48>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring nat_set_encode:(set_nat->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef47a0>, <kernel.DependentProduct object at 0x1ef4b90>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring nat_triangle:(nat->nat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4ab8>, <kernel.DependentProduct object at 0x1ef48c0>) of role type named sy_c_NthRoot_Oroot
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring root:(nat->(real->real))
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4950>, <kernel.DependentProduct object at 0x1ef4bd8>) of role type named sy_c_NthRoot_Osqrt
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring sqrt:(real->real)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4b00>, <kernel.DependentProduct object at 0x1ef4b90>) of role type named sy_c_Num_OBitM
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring bitM:(num->num)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef47a0>, <kernel.DependentProduct object at 0x1ef4c68>) of role type named sy_c_Num_Oinc
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring inc:(num->num)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4b00>, <kernel.DependentProduct object at 0x1ef4cb0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4c68>, <kernel.DependentProduct object at 0x1ef4d40>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef48c0>, <kernel.DependentProduct object at 0x1ef4dd0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_numeral_dbl_int:(int->int)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4950>, <kernel.DependentProduct object at 0x1ef4e18>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4cf8>, <kernel.DependentProduct object at 0x1ef4e60>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_numeral_dbl_real:(real->real)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4950>, <kernel.DependentProduct object at 0x1ef4ea8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4e60>, <kernel.DependentProduct object at 0x1ef4f38>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4ea8>, <kernel.DependentProduct object at 0x1ef4fc8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4f38>, <kernel.DependentProduct object at 0x1ef6098>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4fc8>, <kernel.DependentProduct object at 0x1ef6128>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4fc8>, <kernel.DependentProduct object at 0x1ef61b8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Code____Numeral__Ointeger
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu5831290666863070958nteger:(code_integer->code_integer)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef4ea8>, <kernel.DependentProduct object at 0x1ef6248>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Complex__Ocomplex
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu8557863876264182079omplex:(complex->complex)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef6128>, <kernel.DependentProduct object at 0x1ef62d8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Int__Oint
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu5851722552734809277nc_int:(int->int)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef6098>, <kernel.DependentProduct object at 0x1ef6368>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Rat__Orat
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu5219082963157363817nc_rat:(rat->rat)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef61b8>, <kernel.DependentProduct object at 0x1ef63f8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Real__Oreal
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_nu8295874005876285629c_real:(real->real)
% 0.59/0.81 FOF formula (<kernel.Constant object at 0x1ef6128>, <kernel.DependentProduct object at 0x1ef6050>) of role type named sy_c_Num_Oneg__numeral__class_Osub_001t__Int__Oint
% 0.59/0.81 Using role type
% 0.59/0.81 Declaring neg_numeral_sub_int:(num->(num->int))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6488>, <kernel.DependentProduct object at 0x1ef64d0>) of role type named sy_c_Num_Onum_OBit0
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring bit0:(num->num)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6368>, <kernel.DependentProduct object at 0x1ef63f8>) of role type named sy_c_Num_Onum_OBit1
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring bit1:(num->num)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef61b8>, <kernel.Constant object at 0x1ef63f8>) of role type named sy_c_Num_Onum_OOne
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring one:num
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef64d0>, <kernel.DependentProduct object at 0x1ef6638>) of role type named sy_c_Num_Onum_Ocase__num_001t__Option__Ooption_It__Num__Onum_J
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring case_num_option_num:(option_num->((num->option_num)->((num->option_num)->(num->option_num))))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef65f0>, <kernel.DependentProduct object at 0x1ef65a8>) of role type named sy_c_Num_Onum_Osize__num
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring size_num:(num->nat)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6098>, <kernel.DependentProduct object at 0x1ef6368>) of role type named sy_c_Num_Onum__of__nat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring num_of_nat:(nat->num)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef65f0>, <kernel.DependentProduct object at 0x1ef6128>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6368>, <kernel.DependentProduct object at 0x1ef6710>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring numera6690914467698888265omplex:(num->complex)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6128>, <kernel.DependentProduct object at 0x1ef67a0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef63f8>, <kernel.DependentProduct object at 0x1ef6830>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring numeral_numeral_int:(num->int)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6758>, <kernel.DependentProduct object at 0x1ef6878>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring numeral_numeral_nat:(num->nat)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6050>, <kernel.DependentProduct object at 0x1ef68c0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring numeral_numeral_rat:(num->rat)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef67a0>, <kernel.DependentProduct object at 0x1ef6908>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring numeral_numeral_real:(num->real)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6830>, <kernel.DependentProduct object at 0x1ef6050>) of role type named sy_c_Num_Opow
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring pow:(num->(num->num))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6950>, <kernel.DependentProduct object at 0x1ef6998>) of role type named sy_c_Num_Opred__numeral
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring pred_numeral:(num->nat)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef68c0>, <kernel.DependentProduct object at 0x1ef6878>) of role type named sy_c_Num_Osqr
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring sqr:(num->num)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6908>, <kernel.Constant object at 0x1ef6878>) of role type named sy_c_Option_Ooption_ONone_001t__Nat__Onat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring none_nat:option_nat
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6998>, <kernel.Constant object at 0x1ef6878>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring none_num:option_num
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6908>, <kernel.Constant object at 0x1ef67a0>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6a28>, <kernel.DependentProduct object at 0x1ef6b48>) of role type named sy_c_Option_Ooption_OSome_001t__Nat__Onat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring some_nat:(nat->option_nat)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6830>, <kernel.DependentProduct object at 0x1ef6b90>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring some_num:(num->option_num)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6a28>, <kernel.DependentProduct object at 0x1ef6830>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6b90>, <kernel.DependentProduct object at 0x1ef6c68>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6cb0>, <kernel.DependentProduct object at 0x1ef6d88>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Int__Oint_001t__Num__Onum
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring case_option_int_num:(int->((num->int)->(option_num->int)))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6d40>, <kernel.DependentProduct object at 0x1ef6dd0>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6cb0>, <kernel.DependentProduct object at 0x1ef6a28>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6e60>, <kernel.DependentProduct object at 0x1ef6bd8>) of role type named sy_c_Option_Ooption_Omap__option_001t__Num__Onum_001t__Num__Onum
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring map_option_num_num:((num->num)->(option_num->option_num))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6dd0>, <kernel.DependentProduct object at 0x1ef6e18>) of role type named sy_c_Option_Ooption_Osize__option_001t__Nat__Onat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring size_option_nat:((nat->nat)->(option_nat->nat))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6cb0>, <kernel.DependentProduct object at 0x1ef6ea8>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6dd0>, <kernel.DependentProduct object at 0x1ef6830>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6e60>, <kernel.DependentProduct object at 0x1ef6e18>) of role type named sy_c_Option_Ooption_Othe_001t__Nat__Onat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring the_nat:(option_nat->nat)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6878>, <kernel.DependentProduct object at 0x1ef6fc8>) of role type named sy_c_Option_Ooption_Othe_001t__Num__Onum
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring the_num:(option_num->num)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6e60>, <kernel.DependentProduct object at 0x1ef9050>) of role type named sy_c_Option_Ooption_Othe_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring the_Pr8591224930841456533at_nat:(option4927543243414619207at_nat->product_prod_nat_nat)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6e18>, <kernel.DependentProduct object at 0x1ef6878>) of role type named sy_c_Order__Relation_OunderS_001t__Nat__Onat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring order_underS_nat:(set_Pr1261947904930325089at_nat->(nat->set_nat))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x1ef6e60>, <kernel.Constant object at 0x1ef6ea8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Extended____Nat__Oenat
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring bot_bo4199563552545308370d_enat:extended_enat
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef6e18>, <kernel.Constant object at 0x1ef6dd0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring bot_bot_nat:nat
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef6878>, <kernel.Constant object at 0x1ef9050>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring bot_bot_set_complex:set_complex
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef6e18>, <kernel.Constant object at 0x1ef9098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring bot_bot_set_int:set_int
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef6878>, <kernel.Constant object at 0x1ef9098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring bot_bot_set_nat:set_nat
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef6e18>, <kernel.Constant object at 0x1ef9098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Num__Onum_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring bot_bot_set_num:set_num
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9170>, <kernel.Constant object at 0x1ef9128>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring bot_bo2099793752762293965at_nat:set_Pr1261947904930325089at_nat
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9290>, <kernel.Constant object at 0x1ef9128>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Rat__Orat_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring bot_bot_set_rat:set_rat
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef92d8>, <kernel.Constant object at 0x1ef9128>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring bot_bot_set_real:set_real
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9320>, <kernel.Constant object at 0x1ef9128>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring bot_bot_set_set_nat:set_set_nat
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef92d8>, <kernel.Constant object at 0x1ef9248>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring bot_bo8194388402131092736T_VEBT:set_VEBT_VEBT
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef93b0>, <kernel.DependentProduct object at 0x1ef9518>) of role type named sy_c_Orderings_Oord__class_OLeast_001t__Nat__Onat
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_Least_nat:((nat->Prop)->nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9368>, <kernel.DependentProduct object at 0x1ef95a8>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_complex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9518>, <kernel.DependentProduct object at 0x1ef95f0>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Int__Oint_M_Eo_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef95a8>, <kernel.DependentProduct object at 0x1ef9638>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Nat__Onat_M_Eo_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9518>, <kernel.DependentProduct object at 0x1ef9680>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_le549003669493604880_nat_o:((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9560>, <kernel.DependentProduct object at 0x1ef9710>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Real__Oreal_M_Eo_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9518>, <kernel.DependentProduct object at 0x1ef9560>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9710>, <kernel.DependentProduct object at 0x1ef9518>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9758>, <kernel.DependentProduct object at 0x1ef9560>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_int:(int->(int->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef97e8>, <kernel.DependentProduct object at 0x1ef9710>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9680>, <kernel.DependentProduct object at 0x1ef9758>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_num:(num->(num->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef92d8>, <kernel.DependentProduct object at 0x1ef97e8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9518>, <kernel.DependentProduct object at 0x1ef9680>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_real:(real->(real->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef92d8>, <kernel.DependentProduct object at 0x1ef9518>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_le1307284697595431911nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9710>, <kernel.DependentProduct object at 0x1ef9680>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef99e0>, <kernel.DependentProduct object at 0x1ef92d8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef97e8>, <kernel.DependentProduct object at 0x1ef9710>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9560>, <kernel.DependentProduct object at 0x1ef99e0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef97e8>, <kernel.DependentProduct object at 0x1ef92d8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_le7866589430770878221at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9b48>, <kernel.DependentProduct object at 0x1ef99e0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9b90>, <kernel.DependentProduct object at 0x1ef97e8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9680>, <kernel.DependentProduct object at 0x1ef9b48>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_set_set_nat:(set_set_nat->(set_set_nat->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9b90>, <kernel.DependentProduct object at 0x1ef9680>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_le3480810397992357184T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9b48>, <kernel.DependentProduct object at 0x1ef9b90>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9680>, <kernel.DependentProduct object at 0x1ef9b48>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9b90>, <kernel.DependentProduct object at 0x1ef9680>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_le2510731241096832064er_nat:(filter_nat->(filter_nat->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9e18>, <kernel.DependentProduct object at 0x1ef9b48>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9ea8>, <kernel.DependentProduct object at 0x1ef9b90>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9cf8>, <kernel.DependentProduct object at 0x1ef9e18>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9d88>, <kernel.DependentProduct object at 0x1ef9ea8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9680>, <kernel.DependentProduct object at 0x1ef9cf8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9b48>, <kernel.DependentProduct object at 0x1efc098>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_Eo_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_eq_set_o:(set_o->(set_o->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9680>, <kernel.DependentProduct object at 0x1efc0e0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_le7084787975880047091nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9ea8>, <kernel.DependentProduct object at 0x1efc050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9680>, <kernel.DependentProduct object at 0x1efc170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9e18>, <kernel.DependentProduct object at 0x1efc248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x1ef9680>, <kernel.DependentProduct object at 0x1efc0e0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Num__Onum_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring ord_less_eq_set_num:(set_num->(set_num->Prop))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc170>, <kernel.DependentProduct object at 0x1efc1b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring ord_le3146513528884898305at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1ef9e18>, <kernel.DependentProduct object at 0x1efc290>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Rat__Orat_J
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring ord_less_eq_set_rat:(set_rat->(set_rat->Prop))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc320>, <kernel.DependentProduct object at 0x1efc2d8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc0e0>, <kernel.DependentProduct object at 0x1efc320>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring ord_le6893508408891458716et_nat:(set_set_nat->(set_set_nat->Prop))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc2d8>, <kernel.DependentProduct object at 0x1efc0e0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc440>, <kernel.DependentProduct object at 0x1efc320>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Code____Numeral__Ointeger
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring ord_max_Code_integer:(code_integer->(code_integer->code_integer))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc2d8>, <kernel.DependentProduct object at 0x1efc440>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Extended____Nat__Oenat
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring ord_ma741700101516333627d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc560>, <kernel.DependentProduct object at 0x1efc320>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring ord_max_int:(int->(int->int))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc518>, <kernel.DependentProduct object at 0x1efc2d8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring ord_max_nat:(nat->(nat->nat))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc638>, <kernel.DependentProduct object at 0x1efc560>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Num__Onum
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring ord_max_num:(num->(num->num))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc488>, <kernel.DependentProduct object at 0x1efc518>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Rat__Orat
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring ord_max_rat:(rat->(rat->rat))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc4d0>, <kernel.DependentProduct object at 0x1efc638>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Real__Oreal
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring ord_max_real:(real->(real->real))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc440>, <kernel.DependentProduct object at 0x1efc488>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Nat__Onat_J
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring ord_max_set_nat:(set_nat->(set_nat->set_nat))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc4d0>, <kernel.DependentProduct object at 0x1efc440>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Extended____Nat__Oenat
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring ord_mi8085742599997312461d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc2d8>, <kernel.DependentProduct object at 0x1efc488>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Nat__Onat
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring ord_min_nat:(nat->(nat->nat))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc320>, <kernel.DependentProduct object at 0x1efc878>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Nat__Onat
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring order_Greatest_nat:((nat->Prop)->nat)
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc2d8>, <kernel.DependentProduct object at 0x1efc4d0>) of role type named sy_c_Orderings_Oorder__class_Oantimono_001t__Nat__Onat_001t__Real__Oreal
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring order_9091379641038594480t_real:((nat->real)->Prop)
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc5f0>, <kernel.DependentProduct object at 0x1efc908>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc8c0>, <kernel.DependentProduct object at 0x1efc878>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Real__Oreal
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring order_mono_nat_real:((nat->real)->Prop)
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc5f0>, <kernel.DependentProduct object at 0x1efc2d8>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Nat__Onat
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring order_5726023648592871131at_nat:((nat->nat)->Prop)
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc878>, <kernel.DependentProduct object at 0x1efca28>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Real__Oreal_001t__Real__Oreal
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring order_7092887310737990675l_real:((real->real)->Prop)
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc440>, <kernel.Constant object at 0x1efca28>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_Eo_J
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring top_top_set_o:set_o
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc998>, <kernel.Constant object at 0x1efca28>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring top_top_set_nat:set_nat
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efc440>, <kernel.Constant object at 0x1efc950>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Ounit_J
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring top_to1996260823553986621t_unit:set_Product_unit
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efcab8>, <kernel.Constant object at 0x1efc950>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring top_top_set_real:set_real
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efcb48>, <kernel.Constant object at 0x1efc950>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring top_top_set_char:set_char
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efcab8>, <kernel.DependentProduct object at 0x1efcb48>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efccb0>, <kernel.DependentProduct object at 0x1efc950>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring power_power_complex:(complex->(nat->complex))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efcb90>, <kernel.DependentProduct object at 0x1efcab8>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring power_power_int:(int->(nat->int))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efcd88>, <kernel.DependentProduct object at 0x1efccb0>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring power_power_nat:(nat->(nat->nat))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efcbd8>, <kernel.DependentProduct object at 0x1efcb90>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring power_power_rat:(rat->(nat->rat))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efcc20>, <kernel.DependentProduct object at 0x1efcd88>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring power_power_real:(real->(nat->real))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efcbd8>, <kernel.DependentProduct object at 0x1efccb0>) 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
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring produc4035269172776083154on_nat:((nat->(nat->Prop))->(produc4953844613479565601on_nat->produc2233624965454879586on_nat))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efcd88>, <kernel.DependentProduct object at 0x1efcb90>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring produc3209952032786966637at_nat:((nat->(nat->nat))->(produc7248412053542808358at_nat->produc4471711990508489141at_nat))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efccb0>, <kernel.DependentProduct object at 0x1efcab8>) 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
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring produc8929957630744042906on_nat:((nat->(nat->nat))->(produc4953844613479565601on_nat->produc8306885398267862888on_nat))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efcb90>, <kernel.DependentProduct object at 0x1efe128>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Num__Onum_Mt__Num__Onum_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring produc851828971589881931at_num:((nat->(num->num))->(produc2963631642982155120at_num->produc3368934014287244435at_num))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efcab8>, <kernel.DependentProduct object at 0x1efe098>) 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
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring produc3576312749637752826on_num:((num->(num->Prop))->(produc3447558737645232053on_num->produc7036089656553540234on_num))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efcab8>, <kernel.DependentProduct object at 0x1efe098>) 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
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring produc5778274026573060048on_num:((num->(num->num))->(produc3447558737645232053on_num->produc1193250871479095198on_num))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efcfc8>, <kernel.DependentProduct object at 0x1efe098>) 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
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring produc3994169339658061776at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(produc6121120109295599847at_nat->produc5491161045314408544at_nat))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efe170>, <kernel.DependentProduct object at 0x1efe098>) 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
% 0.64/0.84 Using role type
% 0.64/0.84 Declaring produc2899441246263362727at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(produc6121120109295599847at_nat->produc5542196010084753463at_nat))
% 0.64/0.84 FOF formula (<kernel.Constant object at 0x1efcf80>, <kernel.DependentProduct object at 0x1efe128>) of role type named sy_c_Product__Type_OPair_001_Eo_001_Eo
% 0.64/0.85 Using role type
% 0.64/0.85 Declaring product_Pair_o_o:(Prop->(Prop->product_prod_o_o))
% 0.64/0.85 FOF formula (<kernel.Constant object at 0x1efcf80>, <kernel.DependentProduct object at 0x1efe128>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Int__Oint
% 0.64/0.85 Using role type
% 0.64/0.85 Declaring product_Pair_o_int:(Prop->(int->product_prod_o_int))
% 0.64/0.85 FOF formula (<kernel.Constant object at 0x1efe170>, <kernel.DependentProduct object at 0x1efe128>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Nat__Onat
% 0.64/0.85 Using role type
% 0.64/0.85 Declaring product_Pair_o_nat:(Prop->(nat->product_prod_o_nat))
% 0.64/0.85 FOF formula (<kernel.Constant object at 0x1efe200>, <kernel.DependentProduct object at 0x1efe098>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.64/0.85 Using role type
% 0.64/0.85 Declaring produc2982872950893828659T_VEBT:(Prop->(vEBT_VEBT->produc2504756804600209347T_VEBT))
% 0.64/0.85 FOF formula (<kernel.Constant object at 0x1efe128>, <kernel.DependentProduct object at 0x1efe518>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.64/0.85 Using role type
% 0.64/0.85 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.64/0.85 FOF formula (<kernel.Constant object at 0x1efe098>, <kernel.DependentProduct object at 0x1efe128>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.64/0.85 Using role type
% 0.64/0.85 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.64/0.85 FOF formula (<kernel.Constant object at 0x1efe5a8>, <kernel.DependentProduct object at 0x1efe518>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.64/0.85 Using role type
% 0.64/0.85 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.64/0.85 FOF formula (<kernel.Constant object at 0x1efe560>, <kernel.DependentProduct object at 0x1efe098>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.64/0.85 Using role type
% 0.64/0.85 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.64/0.85 FOF formula (<kernel.Constant object at 0x1efe638>, <kernel.DependentProduct object at 0x1efe5a8>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Num__Onum
% 0.64/0.85 Using role type
% 0.64/0.85 Declaring product_Pair_nat_num:(nat->(num->product_prod_nat_num))
% 0.64/0.85 FOF formula (<kernel.Constant object at 0x1efe560>, <kernel.DependentProduct object at 0x1efe638>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.64/0.85 Using role type
% 0.64/0.85 Declaring produc487386426758144856at_nat:(nat->(product_prod_nat_nat->produc7248412053542808358at_nat))
% 0.64/0.85 FOF formula (<kernel.Constant object at 0x1efe5a8>, <kernel.DependentProduct object at 0x1efe560>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.64/0.85 Using role type
% 0.64/0.85 Declaring produc1195630363706982562at_num:(nat->(product_prod_nat_num->produc2963631642982155120at_num))
% 0.64/0.85 FOF formula (<kernel.Constant object at 0x1efe7a0>, <kernel.DependentProduct object at 0x1efe638>) of role type named sy_c_Product__Type_OPair_001t__Num__Onum_001t__Num__Onum
% 0.64/0.85 Using role type
% 0.64/0.85 Declaring product_Pair_num_num:(num->(num->product_prod_num_num))
% 0.64/0.85 FOF formula (<kernel.Constant object at 0x1efe5a8>, <kernel.DependentProduct object at 0x1efe7a0>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Nat__Onat_J_001t__Option__Ooption_It__Nat__Onat_J
% 0.64/0.85 Using role type
% 0.64/0.85 Declaring produc5098337634421038937on_nat:(option_nat->(option_nat->produc4953844613479565601on_nat))
% 0.64/0.85 FOF formula (<kernel.Constant object at 0x1efe638>, <kernel.DependentProduct object at 0x1efe5a8>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Num__Onum_J_001t__Option__Ooption_It__Num__Onum_J
% 0.64/0.85 Using role type
% 0.64/0.85 Declaring produc8585076106096196333on_num:(option_num->(option_num->produc3447558737645232053on_num))
% 0.64/0.85 FOF formula (<kernel.Constant object at 0x1efe7a0>, <kernel.DependentProduct object at 0x1efe128>) 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
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc488173922507101015at_nat:(option4927543243414619207at_nat->(option4927543243414619207at_nat->produc6121120109295599847at_nat))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1efe5a8>, <kernel.DependentProduct object at 0x1efea28>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1efe128>, <kernel.DependentProduct object at 0x1efe5a8>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc736041933913180425BT_int:(vEBT_VEBT->(int->produc4894624898956917775BT_int))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1efea28>, <kernel.DependentProduct object at 0x1efe128>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1efe5a8>, <kernel.DependentProduct object at 0x1efea28>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1efe128>, <kernel.DependentProduct object at 0x1efecb0>) of role type named sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Nat__Onat
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc457027306803732586at_nat:(set_nat->((nat->set_nat)->set_Pr1261947904930325089at_nat))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1efea28>, <kernel.DependentProduct object at 0x1efeab8>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1efecb0>, <kernel.DependentProduct object at 0x1efea70>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001_Eo
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc7828578312038201481er_o_o:((code_integer->(Prop->Prop))->(produc6271795597528267376eger_o->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1efeab8>, <kernel.DependentProduct object at 0x1efed40>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc1043322548047392435omplex:((code_integer->(Prop->set_complex))->(produc6271795597528267376eger_o->set_complex))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1efea70>, <kernel.DependentProduct object at 0x1efeb48>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Int__Oint_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc1253318751659547953et_int:((code_integer->(Prop->set_int))->(produc6271795597528267376eger_o->set_int))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1efed40>, <kernel.DependentProduct object at 0x1efea28>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc5431169771168744661et_nat:((code_integer->(Prop->set_nat))->(produc6271795597528267376eger_o->set_nat))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1efeb48>, <kernel.DependentProduct object at 0x1efecf8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Real__Oreal_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc242741666403216561t_real:((code_integer->(Prop->set_real))->(produc6271795597528267376eger_o->set_real))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1efea28>, <kernel.DependentProduct object at 0x1efed40>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1efecf8>, <kernel.DependentProduct object at 0x1f10170>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1efed40>, <kernel.DependentProduct object at 0x1f10200>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc7336495610019696514er_num:((code_integer->(code_integer->num))->(produc8923325533196201883nteger->num))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1efed40>, <kernel.DependentProduct object at 0x1f10200>) 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
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1efeb48>, <kernel.DependentProduct object at 0x1f10200>) 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
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1f100e0>, <kernel.DependentProduct object at 0x1f10200>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Complex__Ocomplex_001t__Complex__Ocomplex_001_Eo
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc6771430404735790350plex_o:((complex->(complex->Prop))->(produc4411394909380815293omplex->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1f10320>, <kernel.DependentProduct object at 0x1f102d8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1f10368>, <kernel.DependentProduct object at 0x1f103b0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc8211389475949308722nt_int:((int->(int->int))->(product_prod_int_int->int))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1f10200>, <kernel.DependentProduct object at 0x1f10488>) 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
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1f103b0>, <kernel.DependentProduct object at 0x1f105a8>) 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
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring produc8739625826339149834_nat_o:((nat->(nat->(product_prod_nat_nat->Prop)))->(product_prod_nat_nat->(product_prod_nat_nat->Prop)))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x1f10488>, <kernel.DependentProduct object at 0x1f10638>) 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
% 0.67/0.85 Using role type
% 0.67/0.85 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)))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f105a8>, <kernel.DependentProduct object at 0x1f102d8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10638>, <kernel.DependentProduct object at 0x1f101b8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc1917071388513777916omplex:((nat->(nat->complex))->(product_prod_nat_nat->complex))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f102d8>, <kernel.DependentProduct object at 0x1f106c8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc6840382203811409530at_int:((nat->(nat->int))->(product_prod_nat_nat->int))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f101b8>, <kernel.DependentProduct object at 0x1f10758>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc6842872674320459806at_nat:((nat->(nat->nat))->(product_prod_nat_nat->nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f106c8>, <kernel.DependentProduct object at 0x1f107e8>) 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
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10758>, <kernel.DependentProduct object at 0x1f10878>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Rat__Orat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc6207742614233964070at_rat:((nat->(nat->rat))->(product_prod_nat_nat->rat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f107e8>, <kernel.DependentProduct object at 0x1f10908>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Real__Oreal
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc1703576794950452218t_real:((nat->(nat->real))->(product_prod_nat_nat->real))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10878>, <kernel.DependentProduct object at 0x1f109e0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001_Eo
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc4927758841916487424_num_o:((nat->(num->Prop))->(product_prod_nat_num->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10908>, <kernel.DependentProduct object at 0x1f10b00>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Option__Ooption_It__Num__Onum_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc478579273971653890on_num:((nat->(num->option_num))->(product_prod_nat_num->option_num))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f109e0>, <kernel.DependentProduct object at 0x1f10ab8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc6231982587499038204omplex:((nat->(num->set_complex))->(product_prod_nat_num->set_complex))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10b00>, <kernel.DependentProduct object at 0x1f10b48>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Set__Oset_It__Real__Oreal_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc1435849484188172666t_real:((nat->(num->set_real))->(product_prod_nat_num->set_real))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10ab8>, <kernel.DependentProduct object at 0x1f10c20>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001_Eo
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc5703948589228662326_num_o:((num->(num->Prop))->(product_prod_num_num->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10b48>, <kernel.DependentProduct object at 0x1f10d40>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc2866383454006189126omplex:((num->(num->set_complex))->(product_prod_num_num->set_complex))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10c20>, <kernel.DependentProduct object at 0x1f10cf8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Int__Oint_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc6406642877701697732et_int:((num->(num->set_int))->(product_prod_num_num->set_int))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10d40>, <kernel.DependentProduct object at 0x1f10d88>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc1361121860356118632et_nat:((num->(num->set_nat))->(product_prod_num_num->set_nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10cf8>, <kernel.DependentProduct object at 0x1f10e18>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Real__Oreal_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc8296048397933160132t_real:((num->(num->set_real))->(product_prod_num_num->set_real))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10d88>, <kernel.DependentProduct object at 0x1f10ab8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Real__Oreal_001t__Real__Oreal_001_Eo
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc5414030515140494994real_o:((real->(real->Prop))->(produc2422161461964618553l_real->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10e18>, <kernel.DependentProduct object at 0x1f12050>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc8508995932063986495nteger:(produc8923325533196201883nteger->code_integer)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10f38>, <kernel.DependentProduct object at 0x1f120e0>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10ef0>, <kernel.DependentProduct object at 0x1f12128>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10f38>, <kernel.DependentProduct object at 0x1f12170>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc6174133586879617921nteger:(produc8923325533196201883nteger->code_integer)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10ab8>, <kernel.DependentProduct object at 0x1f12200>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10d88>, <kernel.DependentProduct object at 0x1f12248>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10ab8>, <kernel.DependentProduct object at 0x1f120e0>) of role type named sy_c_Rat_OFract
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring fract:(int->(int->rat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10f38>, <kernel.DependentProduct object at 0x1f122d8>) of role type named sy_c_Rat_OFrct
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring frct:(product_prod_int_int->rat)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f10f38>, <kernel.DependentProduct object at 0x1f12248>) of role type named sy_c_Rat_ORep__Rat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring rep_Rat:(rat->product_prod_int_int)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f12128>, <kernel.Constant object at 0x1f120e0>) of role type named sy_c_Rat_Ofield__char__0__class_ORats_001t__Real__Oreal
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring field_5140801741446780682s_real:set_real
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f12248>, <kernel.DependentProduct object at 0x1f123f8>) of role type named sy_c_Rat_Ofield__char__0__class_Oof__rat_001t__Real__Oreal
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring field_7254667332652039916t_real:(rat->real)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f122d8>, <kernel.DependentProduct object at 0x1f12488>) of role type named sy_c_Rat_Onormalize
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f121b8>, <kernel.DependentProduct object at 0x1f120e0>) of role type named sy_c_Rat_Opositive
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring positive:(rat->Prop)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f12248>, <kernel.DependentProduct object at 0x1f12518>) of role type named sy_c_Rat_Oquotient__of
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring quotient_of:(rat->product_prod_int_int)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f123f8>, <kernel.DependentProduct object at 0x1f121b8>) of role type named sy_c_Real_OReal
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring real2:((nat->rat)->real)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f124d0>, <kernel.DependentProduct object at 0x1f12488>) of role type named sy_c_Real_Ocauchy
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring cauchy:((nat->rat)->Prop)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f120e0>, <kernel.DependentProduct object at 0x1f12248>) of role type named sy_c_Real_Opositive
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring positive2:(real->Prop)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f123f8>, <kernel.DependentProduct object at 0x1f126c8>) of role type named sy_c_Real_Orealrel
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring realrel:((nat->rat)->((nat->rat)->Prop))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f124d0>, <kernel.DependentProduct object at 0x1f120e0>) of role type named sy_c_Real_Orep__real
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring rep_real:(real->(nat->rat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f125a8>, <kernel.DependentProduct object at 0x1f12710>) of role type named sy_c_Real_Ovanishes
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring vanishes:((nat->rat)->Prop)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f124d0>, <kernel.Constant object at 0x1f126c8>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Complex__Ocomplex
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring real_V2521375963428798218omplex:set_complex
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f12710>, <kernel.DependentProduct object at 0x1f12758>) of role type named sy_c_Real__Vector__Spaces_Obounded__linear_001t__Real__Oreal_001t__Real__Oreal
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring real_V5970128139526366754l_real:((real->real)->Prop)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f126c8>, <kernel.DependentProduct object at 0x1f12710>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Complex__Ocomplex
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring real_V3694042436643373181omplex:(complex->(complex->real))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f12758>, <kernel.DependentProduct object at 0x1f126c8>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Real__Oreal
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring real_V975177566351809787t_real:(real->(real->real))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f12710>, <kernel.DependentProduct object at 0x1f12830>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f126c8>, <kernel.DependentProduct object at 0x1f129e0>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring real_V7735802525324610683m_real:(real->real)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f12830>, <kernel.DependentProduct object at 0x1f12a70>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f129e0>, <kernel.DependentProduct object at 0x1f12b00>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Real__Oreal
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring real_V1803761363581548252l_real:(real->real)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x1f12a70>, <kernel.DependentProduct object at 0x1f129e0>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Complex__Ocomplex
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring real_V2046097035970521341omplex:(real->(complex->complex))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f12b00>, <kernel.DependentProduct object at 0x1f12a70>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Real__Oreal
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring real_V1485227260804924795R_real:(real->(real->real))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f121b8>, <kernel.DependentProduct object at 0x1f12b90>) of role type named sy_c_Relation_OField_001t__Nat__Onat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring field_nat:(set_Pr1261947904930325089at_nat->set_nat)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f12170>, <kernel.Constant object at 0x1f12830>) of role type named sy_c_Relation_OId_001t__Nat__Onat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring id_nat2:set_Pr1261947904930325089at_nat
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f12b00>, <kernel.DependentProduct object at 0x1f12b90>) of role type named sy_c_Rings_Oalgebraic__semidom__class_Ocoprime_001t__Int__Oint
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring algebr932160517623751201me_int:(int->(int->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f12170>, <kernel.DependentProduct object at 0x1f12b00>) of role type named sy_c_Rings_Oalgebraic__semidom__class_Ocoprime_001t__Nat__Onat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring algebr934650988132801477me_nat:(nat->(nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f12b90>, <kernel.DependentProduct object at 0x1f12170>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f12b00>, <kernel.DependentProduct object at 0x1f12b90>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f12d88>, <kernel.DependentProduct object at 0x1f12170>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring divide_divide_int:(int->(int->int))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f12e60>, <kernel.DependentProduct object at 0x1f12b00>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f12e18>, <kernel.DependentProduct object at 0x1f12d88>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f12b00>, <kernel.DependentProduct object at 0x1f12170>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring divide_divide_real:(real->(real->real))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f12d88>, <kernel.DependentProduct object at 0x1f15128>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f12170>, <kernel.DependentProduct object at 0x1f15050>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f12f80>, <kernel.DependentProduct object at 0x1f15170>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f12d88>, <kernel.DependentProduct object at 0x1f151b8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f12170>, <kernel.DependentProduct object at 0x1f15200>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f12d88>, <kernel.DependentProduct object at 0x1f150e0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f151b8>, <kernel.DependentProduct object at 0x1f15290>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f12170>, <kernel.DependentProduct object at 0x1f15248>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring modulo_modulo_int:(int->(int->int))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f15170>, <kernel.DependentProduct object at 0x1f15098>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f151b8>, <kernel.DependentProduct object at 0x1f153f8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f15098>, <kernel.DependentProduct object at 0x1f15128>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f153f8>, <kernel.DependentProduct object at 0x1f15488>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f15128>, <kernel.DependentProduct object at 0x1f15518>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f15488>, <kernel.DependentProduct object at 0x1f155a8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f15518>, <kernel.DependentProduct object at 0x1f15638>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f15488>, <kernel.DependentProduct object at 0x1f155a8>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring suminf_complex:((nat->complex)->complex)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f150e0>, <kernel.DependentProduct object at 0x1f15488>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring suminf_int:((nat->int)->int)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f15680>, <kernel.DependentProduct object at 0x1f155a8>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring suminf_nat:((nat->nat)->nat)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f15758>, <kernel.DependentProduct object at 0x1f15518>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring suminf_real:((nat->real)->real)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f157e8>, <kernel.DependentProduct object at 0x1f155a8>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring summable_complex:((nat->complex)->Prop)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f157a0>, <kernel.DependentProduct object at 0x1f150e0>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring summable_int:((nat->int)->Prop)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f156c8>, <kernel.DependentProduct object at 0x1f15758>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring summable_nat:((nat->nat)->Prop)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x1f15830>, <kernel.DependentProduct object at 0x1f157e8>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring summable_real:((nat->real)->Prop)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15878>, <kernel.DependentProduct object at 0x1f158c0>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15128>, <kernel.DependentProduct object at 0x1f15950>) of role type named sy_c_Series_Osums_001t__Int__Oint
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring sums_int:((nat->int)->(int->Prop))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f157e8>, <kernel.DependentProduct object at 0x1f15758>) of role type named sy_c_Series_Osums_001t__Nat__Onat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring sums_nat:((nat->nat)->(nat->Prop))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15908>, <kernel.DependentProduct object at 0x1f159e0>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring sums_real:((nat->real)->(real->Prop))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15758>, <kernel.DependentProduct object at 0x1f15ab8>) of role type named sy_c_Set_OCollect_001t__Code____Numeral__Ointeger
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collect_Code_integer:((code_integer->Prop)->set_Code_integer)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f159e0>, <kernel.DependentProduct object at 0x1f15128>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15950>, <kernel.DependentProduct object at 0x1f15b48>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collect_int:((int->Prop)->set_int)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15830>, <kernel.DependentProduct object at 0x1f159e0>) of role type named sy_c_Set_OCollect_001t__List__Olist_I_Eo_J
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collect_list_o:((list_o->Prop)->set_list_o)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15b48>, <kernel.DependentProduct object at 0x1f15b90>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Complex__Ocomplex_J
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collect_list_complex:((list_complex->Prop)->set_list_complex)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f158c0>, <kernel.DependentProduct object at 0x1f15bd8>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Int__Oint_J
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collect_list_int:((list_int->Prop)->set_list_int)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f157e8>, <kernel.DependentProduct object at 0x1f15c20>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f158c0>, <kernel.DependentProduct object at 0x1f15c68>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collec5608196760682091941T_VEBT:((list_VEBT_VEBT->Prop)->set_list_VEBT_VEBT)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15878>, <kernel.DependentProduct object at 0x1f15d40>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15758>, <kernel.DependentProduct object at 0x1f15d88>) of role type named sy_c_Set_OCollect_001t__Num__Onum
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collect_num:((num->Prop)->set_num)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15c20>, <kernel.DependentProduct object at 0x1f15878>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collec8663557070575231912omplex:((produc4411394909380815293omplex->Prop)->set_Pr5085853215250843933omplex)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15758>, <kernel.DependentProduct object at 0x1f15c20>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15878>, <kernel.DependentProduct object at 0x1f15758>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collec3392354462482085612at_nat:((product_prod_nat_nat->Prop)->set_Pr1261947904930325089at_nat)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15c20>, <kernel.DependentProduct object at 0x1f15878>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collec3799799289383736868l_real:((produc2422161461964618553l_real->Prop)->set_Pr6218003697084177305l_real)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15b00>, <kernel.DependentProduct object at 0x1f17050>) of role type named sy_c_Set_OCollect_001t__Rat__Orat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collect_rat:((rat->Prop)->set_rat)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f158c0>, <kernel.DependentProduct object at 0x1f17098>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collect_real:((real->Prop)->set_real)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15fc8>, <kernel.DependentProduct object at 0x1f17050>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collect_set_nat:((set_nat->Prop)->set_set_nat)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15f80>, <kernel.DependentProduct object at 0x1f15c20>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15b00>, <kernel.DependentProduct object at 0x1f15fc8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15758>, <kernel.DependentProduct object at 0x1f17050>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Real__Oreal
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring image_nat_real:((nat->real)->(set_nat->set_real))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15b00>, <kernel.DependentProduct object at 0x1f17050>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15758>, <kernel.DependentProduct object at 0x1f170e0>) 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
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring image_5971271580939081552omplex:((real->filter6041513312241820739omplex)->(set_real->set_fi4554929511873752355omplex))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f17200>, <kernel.DependentProduct object at 0x1f17098>) 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
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring image_2178119161166701260l_real:((real->filter2146258269922977983l_real)->(set_real->set_fi7789364187291644575l_real))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15758>, <kernel.DependentProduct object at 0x1f17050>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f15758>, <kernel.DependentProduct object at 0x1f17128>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f170e0>, <kernel.DependentProduct object at 0x1f17248>) of role type named sy_c_Set_Oimage_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring image_VEBT_VEBT_nat:((vEBT_VEBT->nat)->(set_VEBT_VEBT->set_nat))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f172d8>, <kernel.DependentProduct object at 0x1f17200>) of role type named sy_c_Set_Oinsert_001t__Complex__Ocomplex
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring insert_complex:(complex->(set_complex->set_complex))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f17320>, <kernel.DependentProduct object at 0x1f172d8>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring insert_int:(int->(set_int->set_int))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f17098>, <kernel.DependentProduct object at 0x1f17200>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f17368>, <kernel.DependentProduct object at 0x1f17320>) of role type named sy_c_Set_Oinsert_001t__Num__Onum
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring insert_num:(num->(set_num->set_num))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f170e0>, <kernel.DependentProduct object at 0x1f17200>) of role type named sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring insert8211810215607154385at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f174d0>, <kernel.DependentProduct object at 0x1f170e0>) of role type named sy_c_Set_Oinsert_001t__Rat__Orat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring insert_rat:(rat->(set_rat->set_rat))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f17128>, <kernel.DependentProduct object at 0x1f17200>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring insert_real:(real->(set_real->set_real))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f17638>, <kernel.DependentProduct object at 0x1f17368>) of role type named sy_c_Set_Oinsert_001t__VEBT____Definitions__OVEBT
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring insert_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f176c8>, <kernel.DependentProduct object at 0x1f172d8>) of role type named sy_c_Set_Ovimage_001t__Nat__Onat_001t__Nat__Onat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring vimage_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f17638>, <kernel.DependentProduct object at 0x1f17200>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Complex__Ocomplex
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring set_fo1517530859248394432omplex:((nat->(complex->complex))->(nat->(nat->(complex->complex))))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f172d8>, <kernel.DependentProduct object at 0x1f17290>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Int__Oint
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring set_fo2581907887559384638at_int:((nat->(int->int))->(nat->(nat->(int->int))))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f17200>, <kernel.DependentProduct object at 0x1f17488>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f17290>, <kernel.DependentProduct object at 0x1f176c8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Rat__Orat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring set_fo1949268297981939178at_rat:((nat->(rat->rat))->(nat->(nat->(rat->rat))))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f17488>, <kernel.DependentProduct object at 0x1f17830>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Real__Oreal
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring set_fo3111899725591712190t_real:((nat->(real->real))->(nat->(nat->(real->real))))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f176c8>, <kernel.DependentProduct object at 0x1f17488>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f17830>, <kernel.DependentProduct object at 0x1f176c8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f17488>, <kernel.DependentProduct object at 0x1f17830>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x1f176c8>, <kernel.DependentProduct object at 0x1f17488>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f17830>, <kernel.DependentProduct object at 0x1f176c8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f17488>, <kernel.DependentProduct object at 0x1f17830>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_or4548717258645045905et_nat:(set_nat->(set_nat->set_set_nat))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f176c8>, <kernel.DependentProduct object at 0x1f17488>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f17830>, <kernel.DependentProduct object at 0x1f176c8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f170e0>, <kernel.DependentProduct object at 0x1f178c0>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f17cf8>, <kernel.DependentProduct object at 0x1f17e60>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_ord_atLeast_real:(real->set_real)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f17d88>, <kernel.DependentProduct object at 0x1f17ea8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Int__Oint
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_ord_atMost_int:(int->set_int)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f176c8>, <kernel.DependentProduct object at 0x1f17ef0>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f178c0>, <kernel.DependentProduct object at 0x1f17f38>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Num__Onum
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_ord_atMost_num:(num->set_num)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f17e60>, <kernel.DependentProduct object at 0x1f17f80>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Rat__Orat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_ord_atMost_rat:(rat->set_rat)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f17ea8>, <kernel.DependentProduct object at 0x1f17fc8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_ord_atMost_real:(real->set_real)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f17e60>, <kernel.DependentProduct object at 0x1f1a050>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_or4236626031148496127et_nat:(set_nat->set_set_nat)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f17fc8>, <kernel.DependentProduct object at 0x1f17ef0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f17fc8>, <kernel.DependentProduct object at 0x1f1a098>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f17fc8>, <kernel.DependentProduct object at 0x1f1a1b8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f178c0>, <kernel.DependentProduct object at 0x1f1a248>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a1b8>, <kernel.DependentProduct object at 0x1f1a2d8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a098>, <kernel.DependentProduct object at 0x1f1a050>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a200>, <kernel.DependentProduct object at 0x1f1a440>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a2d8>, <kernel.DependentProduct object at 0x1f1a4d0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Int__Oint
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_ord_lessThan_int:(int->set_int)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a440>, <kernel.DependentProduct object at 0x1f1a518>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a050>, <kernel.DependentProduct object at 0x1f1a560>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Num__Onum
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_ord_lessThan_num:(num->set_num)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a200>, <kernel.DependentProduct object at 0x1f1a5a8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Rat__Orat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_ord_lessThan_rat:(rat->set_rat)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a050>, <kernel.DependentProduct object at 0x1f1a5f0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a4d0>, <kernel.DependentProduct object at 0x1f1a680>) of role type named sy_c_String_Oascii__of
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring ascii_of:(char->char)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a560>, <kernel.DependentProduct object at 0x1f1a6c8>) of role type named sy_c_String_Ochar_OChar
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring char2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->char))))))))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a4d0>, <kernel.DependentProduct object at 0x1f1a7a0>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a320>, <kernel.DependentProduct object at 0x1f1a830>) of role type named sy_c_String_Ointeger__of__char
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring integer_of_char:(char->code_integer)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a6c8>, <kernel.DependentProduct object at 0x1f1a4d0>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a320>, <kernel.DependentProduct object at 0x1f1a908>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a4d0>, <kernel.DependentProduct object at 0x1f1a998>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Real__Oreal_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring topolo5044208981011980120l_real:(set_real->((real->real)->Prop))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a908>, <kernel.DependentProduct object at 0x1f1a320>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Int__Oint
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring topolo4899668324122417113eq_int:((nat->int)->Prop)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a998>, <kernel.DependentProduct object at 0x1f1a9e0>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring topolo4902158794631467389eq_nat:((nat->nat)->Prop)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a320>, <kernel.DependentProduct object at 0x1f1aa70>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Num__Onum
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring topolo1459490580787246023eq_num:((nat->num)->Prop)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a9e0>, <kernel.DependentProduct object at 0x1f1ab00>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Rat__Orat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring topolo4267028734544971653eq_rat:((nat->rat)->Prop)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1aa70>, <kernel.DependentProduct object at 0x1f1ab90>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1ab00>, <kernel.DependentProduct object at 0x1f1ac20>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring topolo7278393974255667507et_nat:((nat->set_nat)->Prop)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1ab90>, <kernel.DependentProduct object at 0x1f1ab00>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1ac20>, <kernel.DependentProduct object at 0x1f1a758>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1ab00>, <kernel.DependentProduct object at 0x1f1add0>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1a758>, <kernel.Constant object at 0x1f1acf8>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Complex__Ocomplex
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring topolo896644834953643431omplex:filter6041513312241820739omplex
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1add0>, <kernel.Constant object at 0x1f1ac20>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring topolo1511823702728130853y_real:filter2146258269922977983l_real
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1aea8>, <kernel.DependentProduct object at 0x1f1afc8>) of role type named sy_c_Transcendental_Oarccos
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring arccos:(real->real)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1ae60>, <kernel.DependentProduct object at 0x1f1d050>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring arcosh_real:(real->real)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1aef0>, <kernel.DependentProduct object at 0x1f1d098>) of role type named sy_c_Transcendental_Oarcsin
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring arcsin:(real->real)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1afc8>, <kernel.DependentProduct object at 0x1f1d0e0>) of role type named sy_c_Transcendental_Oarctan
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring arctan:(real->real)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1ac20>, <kernel.DependentProduct object at 0x1f1d128>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring arsinh_real:(real->real)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1ae60>, <kernel.DependentProduct object at 0x1f1d170>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring artanh_real:(real->real)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x1f1afc8>, <kernel.DependentProduct object at 0x1f1d1b8>) of role type named sy_c_Transcendental_Ocos_001t__Complex__Ocomplex
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring cos_complex:(complex->complex)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1ac20>, <kernel.DependentProduct object at 0x1f1d200>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring cos_real:(real->real)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1ac20>, <kernel.DependentProduct object at 0x1f1d290>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring cos_coeff:(nat->real)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1afc8>, <kernel.DependentProduct object at 0x1f1d1b8>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring cosh_real:(real->real)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1afc8>, <kernel.DependentProduct object at 0x1f1d2d8>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring cot_real:(real->real)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d170>, <kernel.DependentProduct object at 0x1f1d098>) of role type named sy_c_Transcendental_Odiffs_001t__Complex__Ocomplex
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring diffs_complex:((nat->complex)->(nat->complex))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d290>, <kernel.DependentProduct object at 0x1f1d1b8>) of role type named sy_c_Transcendental_Odiffs_001t__Int__Oint
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring diffs_int:((nat->int)->(nat->int))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d0e0>, <kernel.DependentProduct object at 0x1f1d320>) of role type named sy_c_Transcendental_Odiffs_001t__Rat__Orat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring diffs_rat:((nat->rat)->(nat->rat))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d170>, <kernel.DependentProduct object at 0x1f1d368>) of role type named sy_c_Transcendental_Odiffs_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring diffs_real:((nat->real)->(nat->real))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d290>, <kernel.DependentProduct object at 0x1f1d098>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring exp_complex:(complex->complex)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d128>, <kernel.DependentProduct object at 0x1f1d1b8>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring exp_real:(real->real)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d2d8>, <kernel.DependentProduct object at 0x1f1d4d0>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring ln_ln_real:(real->real)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d368>, <kernel.DependentProduct object at 0x1f1d128>) of role type named sy_c_Transcendental_Olog
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring log:(real->(real->real))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d518>, <kernel.Constant object at 0x1f1d128>) of role type named sy_c_Transcendental_Opi
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring pi:real
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d4d0>, <kernel.DependentProduct object at 0x1f1d368>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring powr_real:(real->(real->real))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d098>, <kernel.DependentProduct object at 0x1f1d5f0>) of role type named sy_c_Transcendental_Osin_001t__Complex__Ocomplex
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring sin_complex:(complex->complex)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d170>, <kernel.DependentProduct object at 0x1f1d1b8>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring sin_real:(real->real)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d200>, <kernel.DependentProduct object at 0x1f1d6c8>) of role type named sy_c_Transcendental_Osin__coeff
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring sin_coeff:(nat->real)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d5f0>, <kernel.DependentProduct object at 0x1f1d170>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring sinh_real:(real->real)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d6c8>, <kernel.DependentProduct object at 0x1f1d710>) of role type named sy_c_Transcendental_Otan_001t__Complex__Ocomplex
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring tan_complex:(complex->complex)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d518>, <kernel.DependentProduct object at 0x1f1d758>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring tan_real:(real->real)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d200>, <kernel.DependentProduct object at 0x1f1d7a0>) of role type named sy_c_Transcendental_Otanh_001t__Complex__Ocomplex
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring tanh_complex:(complex->complex)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d170>, <kernel.DependentProduct object at 0x1f1d7e8>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring tanh_real:(real->real)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d200>, <kernel.DependentProduct object at 0x1f1d170>) of role type named sy_c_Transitive__Closure_Ortrancl_001t__Nat__Onat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring transi2905341329935302413cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d7e8>, <kernel.DependentProduct object at 0x1f1d200>) of role type named sy_c_Transitive__Closure_Otrancl_001t__Nat__Onat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring transi6264000038957366511cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d518>, <kernel.DependentProduct object at 0x1f1d170>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_T_i_n_s_e_r_t:(vEBT_VEBT->(nat->nat))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d950>, <kernel.DependentProduct object at 0x1f1d7e8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t_H
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_T_i_n_s_e_r_t2:(vEBT_VEBT->(nat->nat))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d518>, <kernel.DependentProduct object at 0x1f1d200>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t_H__rel
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_T5076183648494686801_t_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d7e8>, <kernel.DependentProduct object at 0x1f1d6c8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t__rel
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_T9217963907923527482_t_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d950>, <kernel.DependentProduct object at 0x1f1db00>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062a_092_060_094sub_062x_092_060_094sub_062t
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_T_m_a_x_t:(vEBT_VEBT->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d878>, <kernel.DependentProduct object at 0x1f1d7e8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062a_092_060_094sub_062x_092_060_094sub_062t__rel
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_T_m_a_x_t_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d518>, <kernel.DependentProduct object at 0x1f1d950>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_T_m_e_m_b_e_r:(vEBT_VEBT->(nat->nat))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1db48>, <kernel.DependentProduct object at 0x1f1d878>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r_H
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_T_m_e_m_b_e_r2:(vEBT_VEBT->(nat->nat))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d518>, <kernel.DependentProduct object at 0x1f1d7e8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r_H__rel
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_T8099345112685741742_r_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d878>, <kernel.DependentProduct object at 0x1f1d170>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r__rel
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_T5837161174952499735_r_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1db48>, <kernel.DependentProduct object at 0x1f1dd40>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062N_092_060_094sub_062u_092_060_094sub_062l_092_060_094sub_062l
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_T_m_i_n_N_u_l_l:(vEBT_VEBT->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d878>, <kernel.DependentProduct object at 0x1f1db48>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062N_092_060_094sub_062u_092_060_094sub_062l_092_060_094sub_062l__rel
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_T5462971552011256508_l_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d518>, <kernel.DependentProduct object at 0x1f1de18>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062t
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_T_m_i_n_t:(vEBT_VEBT->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d170>, <kernel.DependentProduct object at 0x1f1d878>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062t__rel
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_T_m_i_n_t_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d128>, <kernel.DependentProduct object at 0x1f1de60>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1dd88>, <kernel.DependentProduct object at 0x1f1d878>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1df80>, <kernel.DependentProduct object at 0x1f1d170>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d128>, <kernel.DependentProduct object at 0x1f1df80>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1de60>, <kernel.DependentProduct object at 0x1f1d170>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d128>, <kernel.DependentProduct object at 0x1f1dd88>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1df80>, <kernel.DependentProduct object at 0x1f1dfc8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d170>, <kernel.DependentProduct object at 0x1f211b8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1f1d170>, <kernel.DependentProduct object at 0x1f211b8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f1dd88>, <kernel.DependentProduct object at 0x1f21050>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f211b8>, <kernel.DependentProduct object at 0x1f21098>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f1dd88>, <kernel.DependentProduct object at 0x1f21248>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f1dd88>, <kernel.DependentProduct object at 0x1f21248>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f210e0>, <kernel.DependentProduct object at 0x1f21050>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f213b0>, <kernel.DependentProduct object at 0x1f21440>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f211b8>, <kernel.DependentProduct object at 0x1f21248>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f210e0>, <kernel.DependentProduct object at 0x1f211b8>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21488>, <kernel.DependentProduct object at 0x1f21560>) of role type named sy_c_VEBT__Height_OVEBT__internal_Oheight
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_VEBT_height:(vEBT_VEBT->nat)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f213b0>, <kernel.DependentProduct object at 0x1f210e0>) of role type named sy_c_VEBT__Height_OVEBT__internal_Oheight__rel
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_VEBT_height_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f213f8>, <kernel.DependentProduct object at 0x1f213b0>) of role type named sy_c_VEBT__Insert_Ovebt__insert
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_vebt_insert:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21638>, <kernel.DependentProduct object at 0x1f213f8>) of role type named sy_c_VEBT__Insert_Ovebt__insert__rel
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_vebt_insert_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f215f0>, <kernel.DependentProduct object at 0x1f210e0>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21560>, <kernel.DependentProduct object at 0x1f211b8>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f215f0>, <kernel.DependentProduct object at 0x1f21560>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull__rel
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_V6963167321098673237ll_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21710>, <kernel.DependentProduct object at 0x1f21440>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f214d0>, <kernel.DependentProduct object at 0x1f21710>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f211b8>, <kernel.DependentProduct object at 0x1f214d0>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21560>, <kernel.DependentProduct object at 0x1f21440>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oadd
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_VEBT_add:(option_nat->(option_nat->option_nat))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f215f0>, <kernel.DependentProduct object at 0x1f211b8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ogreater
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_VEBT_greater:(option_nat->(option_nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f217a0>, <kernel.DependentProduct object at 0x1f21560>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oless
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_VEBT_less:(option_nat->(option_nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21878>, <kernel.DependentProduct object at 0x1f215f0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Olesseq
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_VEBT_lesseq:(option_nat->(option_nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f214d0>, <kernel.DependentProduct object at 0x1f217a0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omax__in__set
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_VEBT_max_in_set:(set_nat->(nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21440>, <kernel.DependentProduct object at 0x1f21878>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omin__in__set
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_VEBT_min_in_set:(set_nat->(nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f211b8>, <kernel.DependentProduct object at 0x1f214d0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omul
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_VEBT_mul:(option_nat->(option_nat->option_nat))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21440>, <kernel.DependentProduct object at 0x1f21a70>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Nat__Onat
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_V4262088993061758097ft_nat:((nat->(nat->nat))->(option_nat->(option_nat->option_nat)))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f214d0>, <kernel.DependentProduct object at 0x1f21b90>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Num__Onum
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_V819420779217536731ft_num:((num->(num->num))->(option_num->(option_num->option_num)))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21a70>, <kernel.DependentProduct object at 0x1f218c0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_V1502963449132264192at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(option4927543243414619207at_nat->(option4927543243414619207at_nat->option4927543243414619207at_nat)))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21b48>, <kernel.DependentProduct object at 0x1f21b90>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Opower
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_VEBT_power:(option_nat->(option_nat->option_nat))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f210e0>, <kernel.DependentProduct object at 0x1f215f0>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_vebt_maxt:(vEBT_VEBT->option_nat)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21c20>, <kernel.DependentProduct object at 0x1f21b90>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt__rel
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_vebt_maxt_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f218c0>, <kernel.DependentProduct object at 0x1f21cf8>) of role type named sy_c_VEBT__MinMax_Ovebt__mint
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_vebt_mint:(vEBT_VEBT->option_nat)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21cb0>, <kernel.DependentProduct object at 0x1f21c20>) of role type named sy_c_VEBT__MinMax_Ovebt__mint__rel
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_vebt_mint_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21878>, <kernel.DependentProduct object at 0x1f218c0>) of role type named sy_c_VEBT__Pred_Ois__pred__in__set
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_is_pred_in_set:(set_nat->(nat->(nat->Prop)))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21e18>, <kernel.DependentProduct object at 0x1f21a70>) of role type named sy_c_VEBT__Pred_Ovebt__pred
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_vebt_pred:(vEBT_VEBT->(nat->option_nat))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21d40>, <kernel.DependentProduct object at 0x1f21cf8>) of role type named sy_c_VEBT__Pred_Ovebt__pred__rel
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_vebt_pred_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21b90>, <kernel.DependentProduct object at 0x1f21a70>) of role type named sy_c_VEBT__Succ_Ois__succ__in__set
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_is_succ_in_set:(set_nat->(nat->(nat->Prop)))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21ef0>, <kernel.DependentProduct object at 0x1f21cb0>) of role type named sy_c_VEBT__Succ_Ovebt__succ
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_vebt_succ:(vEBT_VEBT->(nat->option_nat))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f215f0>, <kernel.DependentProduct object at 0x1f218c0>) of role type named sy_c_VEBT__Succ_Ovebt__succ__rel
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_vebt_succ_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21c20>, <kernel.DependentProduct object at 0x1f21a70>) of role type named sy_c_Wellfounded_Oaccp_001t__List__Olist_It__Nat__Onat_J
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring accp_list_nat:((list_nat->(list_nat->Prop))->(list_nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f215f0>, <kernel.DependentProduct object at 0x1f21cf8>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21c20>, <kernel.DependentProduct object at 0x1f21f38>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21cf8>, <kernel.DependentProduct object at 0x1f21fc8>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21f38>, <kernel.DependentProduct object at 0x1f24050>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring accp_P3113834385874906142um_num:((product_prod_num_num->(product_prod_num_num->Prop))->(product_prod_num_num->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21f38>, <kernel.DependentProduct object at 0x1f24128>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21fc8>, <kernel.DependentProduct object at 0x1f24098>) of role type named sy_c_Wellfounded_Oaccp_001t__VEBT____Definitions__OVEBT
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring accp_VEBT_VEBT:((vEBT_VEBT->(vEBT_VEBT->Prop))->(vEBT_VEBT->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f21f38>, <kernel.Constant object at 0x1f24098>) of role type named sy_c_Wellfounded_Opred__nat
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring pred_nat:set_Pr1261947904930325089at_nat
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f215f0>, <kernel.DependentProduct object at 0x1f24290>) of role type named sy_c_Wellfounded_Owf_001t__Nat__Onat
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring wf_nat:(set_Pr1261947904930325089at_nat->Prop)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1f24170>, <kernel.DependentProduct object at 0x1f24368>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring fChoice_real:((real->Prop)->real)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f24200>, <kernel.DependentProduct object at 0x1f24170>) of role type named sy_c_member_001_Eo
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring member_o:(Prop->(set_o->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f241b8>, <kernel.DependentProduct object at 0x1f24200>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring member_complex:(complex->(set_complex->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f242d8>, <kernel.DependentProduct object at 0x1f24290>) of role type named sy_c_member_001t__Int__Oint
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring member_int:(int->(set_int->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f24368>, <kernel.DependentProduct object at 0x1f24170>) of role type named sy_c_member_001t__List__Olist_I_Eo_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring member_list_o:(list_o->(set_list_o->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f24200>, <kernel.DependentProduct object at 0x1f242d8>) of role type named sy_c_member_001t__List__Olist_It__Int__Oint_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring member_list_int:(list_int->(set_list_int->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f240e0>, <kernel.DependentProduct object at 0x1f24368>) of role type named sy_c_member_001t__List__Olist_It__Nat__Onat_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring member_list_nat:(list_nat->(set_list_nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f24200>, <kernel.DependentProduct object at 0x1f240e0>) of role type named sy_c_member_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring member2936631157270082147T_VEBT:(list_VEBT_VEBT->(set_list_VEBT_VEBT->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f24290>, <kernel.DependentProduct object at 0x1f24368>) of role type named sy_c_member_001t__Nat__Onat
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring member_nat:(nat->(set_nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f24560>, <kernel.DependentProduct object at 0x1f24200>) of role type named sy_c_member_001t__Num__Onum
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring member_num:(num->(set_num->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f24290>, <kernel.DependentProduct object at 0x1f241b8>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring member8440522571783428010at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f24638>, <kernel.DependentProduct object at 0x1f24200>) of role type named sy_c_member_001t__Rat__Orat
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring member_rat:(rat->(set_rat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f24098>, <kernel.DependentProduct object at 0x1f24638>) of role type named sy_c_member_001t__Real__Oreal
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring member_real:(real->(set_real->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f24710>, <kernel.DependentProduct object at 0x1f24290>) of role type named sy_c_member_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring member_set_nat:(set_nat->(set_set_nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f242d8>, <kernel.DependentProduct object at 0x1f24200>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f24638>, <kernel.Constant object at 0x1f24200>) of role type named sy_v_deg____
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring deg:nat
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f24290>, <kernel.Constant object at 0x1f24200>) of role type named sy_v_m____
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring m:nat
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f24368>, <kernel.Constant object at 0x1f24200>) of role type named sy_v_ma____
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring ma:nat
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f247e8>, <kernel.Constant object at 0x1f24200>) of role type named sy_v_mi____
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring mi:nat
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f247a0>, <kernel.Constant object at 0x1f24200>) of role type named sy_v_na____
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring na:nat
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f24830>, <kernel.Constant object at 0x1f24200>) of role type named sy_v_summary____
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring summary:vEBT_VEBT
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f24878>, <kernel.Constant object at 0x1f24200>) of role type named sy_v_treeList____
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring treeList:list_VEBT_VEBT
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1f248c0>, <kernel.Constant object at 0x1f24200>) of role type named sy_v_xa____
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring xa:nat
% 0.67/0.92 FOF formula (((ord_less_nat xa) mi)->False) of role axiom named fact_0_False
% 0.67/0.92 A new axiom: (((ord_less_nat xa) mi)->False)
% 0.67/0.92 FOF formula ((ord_less_eq_nat mi) ma) of role axiom named fact_1__C5_Ohyps_C_I7_J
% 0.67/0.92 A new axiom: ((ord_less_eq_nat mi) ma)
% 0.67/0.92 FOF formula (((eq (set_nat->(nat->Prop))) vEBT_VEBT_max_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat Y) X)))))) of role axiom named fact_2_max__in__set__def
% 0.67/0.92 A new axiom: (((eq (set_nat->(nat->Prop))) vEBT_VEBT_max_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat Y) X))))))
% 0.67/0.92 FOF formula (((eq (set_nat->(nat->Prop))) vEBT_VEBT_min_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat X) Y)))))) of role axiom named fact_3_min__in__set__def
% 0.67/0.92 A new axiom: (((eq (set_nat->(nat->Prop))) vEBT_VEBT_min_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat X) Y))))))
% 0.67/0.92 FOF formula (forall (X2:nat), ((ord_less_eq_nat ((vEBT_T_i_n_s_e_r_t summary) X2)) ((times_times_nat ((plus_plus_nat one_one_nat) (vEBT_VEBT_height summary))) (numeral_numeral_nat (bit1 (bit1 (bit1 (bit0 one)))))))) of role axiom named fact_4__C5_OIH_C_I2_J
% 0.67/0.92 A new axiom: (forall (X2:nat), ((ord_less_eq_nat ((vEBT_T_i_n_s_e_r_t summary) X2)) ((times_times_nat ((plus_plus_nat one_one_nat) (vEBT_VEBT_height summary))) (numeral_numeral_nat (bit1 (bit1 (bit1 (bit0 one))))))))
% 0.67/0.92 FOF formula (forall (Summary:vEBT_VEBT) (Info:option4927543243414619207at_nat) (Deg:nat) (TreeList:list_VEBT_VEBT), ((ord_less_eq_nat ((plus_plus_nat one_one_nat) (vEBT_VEBT_height Summary))) (vEBT_VEBT_height ((((vEBT_Node Info) Deg) TreeList) Summary)))) of role axiom named fact_5_height__compose__summary
% 0.67/0.92 A new axiom: (forall (Summary:vEBT_VEBT) (Info:option4927543243414619207at_nat) (Deg:nat) (TreeList:list_VEBT_VEBT), ((ord_less_eq_nat ((plus_plus_nat one_one_nat) (vEBT_VEBT_height Summary))) (vEBT_VEBT_height ((((vEBT_Node Info) Deg) TreeList) Summary))))
% 0.67/0.92 FOF formula ((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) deg) of role axiom named fact_6__092_060open_0622_A_092_060le_062_Adeg_092_060close_062
% 0.67/0.92 A new axiom: ((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) deg)
% 0.67/0.92 FOF formula ((ord_less_eq_nat ((vEBT_T_i_n_s_e_r_t ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat mi) ma))) deg) treeList) summary)) xa)) ((plus_plus_nat (numeral_numeral_nat (bit1 (bit1 (bit1 (bit0 one)))))) ((vEBT_T_i_n_s_e_r_t summary) ((vEBT_VEBT_high (((if_nat ((ord_less_nat xa) mi)) mi) xa)) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))))) of role axiom named fact_7__092_060open_062T_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t_A_INode_A_ISome_A_Imi_M_Ama_J_J_Adeg_AtreeList_Asummary_J_Ax_A_092_060le_062_A23_A_L_AT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t_Asummary_A_Ihigh_A_Iif_Ax_A_060_Ami_Athen_Ami_Aelse_Ax_J_A_Ideg_Adiv_A2_J_J_092_060close_062
% 0.67/0.92 A new axiom: ((ord_less_eq_nat ((vEBT_T_i_n_s_e_r_t ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat mi) ma))) deg) treeList) summary)) xa)) ((plus_plus_nat (numeral_numeral_nat (bit1 (bit1 (bit1 (bit0 one)))))) ((vEBT_T_i_n_s_e_r_t summary) ((vEBT_VEBT_high (((if_nat ((ord_less_nat xa) mi)) mi) xa)) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))))
% 0.76/0.93 FOF formula ((ord_less_nat ma) ((power_power_nat (numeral_numeral_nat (bit0 one))) deg)) of role axiom named fact_8__C5_Ohyps_C_I8_J
% 0.76/0.93 A new axiom: ((ord_less_nat ma) ((power_power_nat (numeral_numeral_nat (bit0 one))) deg))
% 0.76/0.93 FOF formula (forall (X2:nat) (Mi:nat) (Ma:nat) (Deg:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT), (((or (((eq nat) X2) Mi)) (((eq nat) X2) Ma))->(((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) Deg)->(((eq vEBT_VEBT) ((vEBT_vebt_insert ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary)) X2)) ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary))))) of role axiom named fact_9_insert__simp__mima
% 0.76/0.93 A new axiom: (forall (X2:nat) (Mi:nat) (Ma:nat) (Deg:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT), (((or (((eq nat) X2) Mi)) (((eq nat) X2) Ma))->(((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) Deg)->(((eq vEBT_VEBT) ((vEBT_vebt_insert ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary)) X2)) ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary)))))
% 0.76/0.93 FOF formula (((eq complex) ((plus_plus_complex one_one_complex) one_one_complex)) (numera6690914467698888265omplex (bit0 one))) of role axiom named fact_10_one__add__one
% 0.76/0.93 A new axiom: (((eq complex) ((plus_plus_complex one_one_complex) one_one_complex)) (numera6690914467698888265omplex (bit0 one)))
% 0.76/0.93 FOF formula (((eq real) ((plus_plus_real one_one_real) one_one_real)) (numeral_numeral_real (bit0 one))) of role axiom named fact_11_one__add__one
% 0.76/0.93 A new axiom: (((eq real) ((plus_plus_real one_one_real) one_one_real)) (numeral_numeral_real (bit0 one)))
% 0.76/0.93 FOF formula (((eq rat) ((plus_plus_rat one_one_rat) one_one_rat)) (numeral_numeral_rat (bit0 one))) of role axiom named fact_12_one__add__one
% 0.76/0.93 A new axiom: (((eq rat) ((plus_plus_rat one_one_rat) one_one_rat)) (numeral_numeral_rat (bit0 one)))
% 0.76/0.93 FOF formula (((eq nat) ((plus_plus_nat one_one_nat) one_one_nat)) (numeral_numeral_nat (bit0 one))) of role axiom named fact_13_one__add__one
% 0.76/0.93 A new axiom: (((eq nat) ((plus_plus_nat one_one_nat) one_one_nat)) (numeral_numeral_nat (bit0 one)))
% 0.76/0.93 FOF formula (((eq int) ((plus_plus_int one_one_int) one_one_int)) (numeral_numeral_int (bit0 one))) of role axiom named fact_14_one__add__one
% 0.76/0.93 A new axiom: (((eq int) ((plus_plus_int one_one_int) one_one_int)) (numeral_numeral_int (bit0 one)))
% 0.76/0.93 FOF formula (forall (N:num), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex N)) one_one_complex)) (numera6690914467698888265omplex ((plus_plus_num N) one)))) of role axiom named fact_15_numeral__plus__one
% 0.76/0.93 A new axiom: (forall (N:num), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex N)) one_one_complex)) (numera6690914467698888265omplex ((plus_plus_num N) one))))
% 0.76/0.93 FOF formula (forall (N:num), (((eq real) ((plus_plus_real (numeral_numeral_real N)) one_one_real)) (numeral_numeral_real ((plus_plus_num N) one)))) of role axiom named fact_16_numeral__plus__one
% 0.76/0.93 A new axiom: (forall (N:num), (((eq real) ((plus_plus_real (numeral_numeral_real N)) one_one_real)) (numeral_numeral_real ((plus_plus_num N) one))))
% 0.76/0.93 FOF formula (forall (N:num), (((eq rat) ((plus_plus_rat (numeral_numeral_rat N)) one_one_rat)) (numeral_numeral_rat ((plus_plus_num N) one)))) of role axiom named fact_17_numeral__plus__one
% 0.76/0.93 A new axiom: (forall (N:num), (((eq rat) ((plus_plus_rat (numeral_numeral_rat N)) one_one_rat)) (numeral_numeral_rat ((plus_plus_num N) one))))
% 0.76/0.93 FOF formula (forall (N:num), (((eq nat) ((plus_plus_nat (numeral_numeral_nat N)) one_one_nat)) (numeral_numeral_nat ((plus_plus_num N) one)))) of role axiom named fact_18_numeral__plus__one
% 0.76/0.93 A new axiom: (forall (N:num), (((eq nat) ((plus_plus_nat (numeral_numeral_nat N)) one_one_nat)) (numeral_numeral_nat ((plus_plus_num N) one))))
% 0.76/0.93 FOF formula (forall (N:num), (((eq int) ((plus_plus_int (numeral_numeral_int N)) one_one_int)) (numeral_numeral_int ((plus_plus_num N) one)))) of role axiom named fact_19_numeral__plus__one
% 0.76/0.94 A new axiom: (forall (N:num), (((eq int) ((plus_plus_int (numeral_numeral_int N)) one_one_int)) (numeral_numeral_int ((plus_plus_num N) one))))
% 0.76/0.94 FOF formula (forall (N:num), (((eq complex) ((plus_plus_complex one_one_complex) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((plus_plus_num one) N)))) of role axiom named fact_20_one__plus__numeral
% 0.76/0.94 A new axiom: (forall (N:num), (((eq complex) ((plus_plus_complex one_one_complex) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((plus_plus_num one) N))))
% 0.76/0.94 FOF formula (forall (N:num), (((eq real) ((plus_plus_real one_one_real) (numeral_numeral_real N))) (numeral_numeral_real ((plus_plus_num one) N)))) of role axiom named fact_21_one__plus__numeral
% 0.76/0.94 A new axiom: (forall (N:num), (((eq real) ((plus_plus_real one_one_real) (numeral_numeral_real N))) (numeral_numeral_real ((plus_plus_num one) N))))
% 0.76/0.94 FOF formula (forall (N:num), (((eq rat) ((plus_plus_rat one_one_rat) (numeral_numeral_rat N))) (numeral_numeral_rat ((plus_plus_num one) N)))) of role axiom named fact_22_one__plus__numeral
% 0.76/0.94 A new axiom: (forall (N:num), (((eq rat) ((plus_plus_rat one_one_rat) (numeral_numeral_rat N))) (numeral_numeral_rat ((plus_plus_num one) N))))
% 0.76/0.94 FOF formula (forall (N:num), (((eq nat) ((plus_plus_nat one_one_nat) (numeral_numeral_nat N))) (numeral_numeral_nat ((plus_plus_num one) N)))) of role axiom named fact_23_one__plus__numeral
% 0.76/0.94 A new axiom: (forall (N:num), (((eq nat) ((plus_plus_nat one_one_nat) (numeral_numeral_nat N))) (numeral_numeral_nat ((plus_plus_num one) N))))
% 0.76/0.94 FOF formula (forall (N:num), (((eq int) ((plus_plus_int one_one_int) (numeral_numeral_int N))) (numeral_numeral_int ((plus_plus_num one) N)))) of role axiom named fact_24_one__plus__numeral
% 0.76/0.94 A new axiom: (forall (N:num), (((eq int) ((plus_plus_int one_one_int) (numeral_numeral_int N))) (numeral_numeral_int ((plus_plus_num one) N))))
% 0.76/0.94 FOF formula (forall (N:num), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real N)) one_one_real)) ((ord_less_eq_num N) one))) of role axiom named fact_25_numeral__le__one__iff
% 0.76/0.94 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real N)) one_one_real)) ((ord_less_eq_num N) one)))
% 0.76/0.94 FOF formula (forall (N:num), (((eq Prop) ((ord_less_eq_rat (numeral_numeral_rat N)) one_one_rat)) ((ord_less_eq_num N) one))) of role axiom named fact_26_numeral__le__one__iff
% 0.76/0.94 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_eq_rat (numeral_numeral_rat N)) one_one_rat)) ((ord_less_eq_num N) one)))
% 0.76/0.94 FOF formula (forall (N:num), (((eq Prop) ((ord_less_eq_nat (numeral_numeral_nat N)) one_one_nat)) ((ord_less_eq_num N) one))) of role axiom named fact_27_numeral__le__one__iff
% 0.76/0.94 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_eq_nat (numeral_numeral_nat N)) one_one_nat)) ((ord_less_eq_num N) one)))
% 0.76/0.94 FOF formula (forall (N:num), (((eq Prop) ((ord_less_eq_int (numeral_numeral_int N)) one_one_int)) ((ord_less_eq_num N) one))) of role axiom named fact_28_numeral__le__one__iff
% 0.76/0.94 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_eq_int (numeral_numeral_int N)) one_one_int)) ((ord_less_eq_num N) one)))
% 0.76/0.94 FOF formula (forall (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex N)) one_one_complex)) (((eq num) N) one))) of role axiom named fact_29_numeral__eq__one__iff
% 0.76/0.94 A new axiom: (forall (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex N)) one_one_complex)) (((eq num) N) one)))
% 0.76/0.94 FOF formula (forall (N:num), (((eq Prop) (((eq real) (numeral_numeral_real N)) one_one_real)) (((eq num) N) one))) of role axiom named fact_30_numeral__eq__one__iff
% 0.76/0.94 A new axiom: (forall (N:num), (((eq Prop) (((eq real) (numeral_numeral_real N)) one_one_real)) (((eq num) N) one)))
% 0.76/0.94 FOF formula (forall (N:num), (((eq Prop) (((eq rat) (numeral_numeral_rat N)) one_one_rat)) (((eq num) N) one))) of role axiom named fact_31_numeral__eq__one__iff
% 0.76/0.94 A new axiom: (forall (N:num), (((eq Prop) (((eq rat) (numeral_numeral_rat N)) one_one_rat)) (((eq num) N) one)))
% 0.76/0.94 FOF formula (forall (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat N)) one_one_nat)) (((eq num) N) one))) of role axiom named fact_32_numeral__eq__one__iff
% 0.76/0.95 A new axiom: (forall (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat N)) one_one_nat)) (((eq num) N) one)))
% 0.76/0.95 FOF formula (forall (N:num), (((eq Prop) (((eq int) (numeral_numeral_int N)) one_one_int)) (((eq num) N) one))) of role axiom named fact_33_numeral__eq__one__iff
% 0.76/0.95 A new axiom: (forall (N:num), (((eq Prop) (((eq int) (numeral_numeral_int N)) one_one_int)) (((eq num) N) one)))
% 0.76/0.95 FOF formula (forall (N:num), (((eq Prop) (((eq complex) one_one_complex) (numera6690914467698888265omplex N))) (((eq num) one) N))) of role axiom named fact_34_one__eq__numeral__iff
% 0.76/0.95 A new axiom: (forall (N:num), (((eq Prop) (((eq complex) one_one_complex) (numera6690914467698888265omplex N))) (((eq num) one) N)))
% 0.76/0.95 FOF formula (forall (N:num), (((eq Prop) (((eq real) one_one_real) (numeral_numeral_real N))) (((eq num) one) N))) of role axiom named fact_35_one__eq__numeral__iff
% 0.76/0.95 A new axiom: (forall (N:num), (((eq Prop) (((eq real) one_one_real) (numeral_numeral_real N))) (((eq num) one) N)))
% 0.76/0.95 FOF formula (forall (N:num), (((eq Prop) (((eq rat) one_one_rat) (numeral_numeral_rat N))) (((eq num) one) N))) of role axiom named fact_36_one__eq__numeral__iff
% 0.76/0.95 A new axiom: (forall (N:num), (((eq Prop) (((eq rat) one_one_rat) (numeral_numeral_rat N))) (((eq num) one) N)))
% 0.76/0.95 FOF formula (forall (N:num), (((eq Prop) (((eq nat) one_one_nat) (numeral_numeral_nat N))) (((eq num) one) N))) of role axiom named fact_37_one__eq__numeral__iff
% 0.76/0.95 A new axiom: (forall (N:num), (((eq Prop) (((eq nat) one_one_nat) (numeral_numeral_nat N))) (((eq num) one) N)))
% 0.76/0.95 FOF formula (forall (N:num), (((eq Prop) (((eq int) one_one_int) (numeral_numeral_int N))) (((eq num) one) N))) of role axiom named fact_38_one__eq__numeral__iff
% 0.76/0.95 A new axiom: (forall (N:num), (((eq Prop) (((eq int) one_one_int) (numeral_numeral_int N))) (((eq num) one) N)))
% 0.76/0.95 FOF formula (forall (V:num) (B:complex) (C:complex), (((eq complex) ((times_times_complex (numera6690914467698888265omplex V)) ((plus_plus_complex B) C))) ((plus_plus_complex ((times_times_complex (numera6690914467698888265omplex V)) B)) ((times_times_complex (numera6690914467698888265omplex V)) C)))) of role axiom named fact_39_distrib__left__numeral
% 0.76/0.95 A new axiom: (forall (V:num) (B:complex) (C:complex), (((eq complex) ((times_times_complex (numera6690914467698888265omplex V)) ((plus_plus_complex B) C))) ((plus_plus_complex ((times_times_complex (numera6690914467698888265omplex V)) B)) ((times_times_complex (numera6690914467698888265omplex V)) C))))
% 0.76/0.95 FOF formula (forall (V:num) (B:real) (C:real), (((eq real) ((times_times_real (numeral_numeral_real V)) ((plus_plus_real B) C))) ((plus_plus_real ((times_times_real (numeral_numeral_real V)) B)) ((times_times_real (numeral_numeral_real V)) C)))) of role axiom named fact_40_distrib__left__numeral
% 0.76/0.95 A new axiom: (forall (V:num) (B:real) (C:real), (((eq real) ((times_times_real (numeral_numeral_real V)) ((plus_plus_real B) C))) ((plus_plus_real ((times_times_real (numeral_numeral_real V)) B)) ((times_times_real (numeral_numeral_real V)) C))))
% 0.76/0.95 FOF formula (forall (V:num) (B:rat) (C:rat), (((eq rat) ((times_times_rat (numeral_numeral_rat V)) ((plus_plus_rat B) C))) ((plus_plus_rat ((times_times_rat (numeral_numeral_rat V)) B)) ((times_times_rat (numeral_numeral_rat V)) C)))) of role axiom named fact_41_distrib__left__numeral
% 0.76/0.95 A new axiom: (forall (V:num) (B:rat) (C:rat), (((eq rat) ((times_times_rat (numeral_numeral_rat V)) ((plus_plus_rat B) C))) ((plus_plus_rat ((times_times_rat (numeral_numeral_rat V)) B)) ((times_times_rat (numeral_numeral_rat V)) C))))
% 0.76/0.95 FOF formula (forall (V:num) (B:nat) (C:nat), (((eq nat) ((times_times_nat (numeral_numeral_nat V)) ((plus_plus_nat B) C))) ((plus_plus_nat ((times_times_nat (numeral_numeral_nat V)) B)) ((times_times_nat (numeral_numeral_nat V)) C)))) of role axiom named fact_42_distrib__left__numeral
% 0.76/0.95 A new axiom: (forall (V:num) (B:nat) (C:nat), (((eq nat) ((times_times_nat (numeral_numeral_nat V)) ((plus_plus_nat B) C))) ((plus_plus_nat ((times_times_nat (numeral_numeral_nat V)) B)) ((times_times_nat (numeral_numeral_nat V)) C))))
% 0.76/0.96 FOF formula (forall (V:num) (B:int) (C:int), (((eq int) ((times_times_int (numeral_numeral_int V)) ((plus_plus_int B) C))) ((plus_plus_int ((times_times_int (numeral_numeral_int V)) B)) ((times_times_int (numeral_numeral_int V)) C)))) of role axiom named fact_43_distrib__left__numeral
% 0.76/0.96 A new axiom: (forall (V:num) (B:int) (C:int), (((eq int) ((times_times_int (numeral_numeral_int V)) ((plus_plus_int B) C))) ((plus_plus_int ((times_times_int (numeral_numeral_int V)) B)) ((times_times_int (numeral_numeral_int V)) C))))
% 0.76/0.96 FOF formula (forall (A:complex) (B:complex) (V:num), (((eq complex) ((times_times_complex ((plus_plus_complex A) B)) (numera6690914467698888265omplex V))) ((plus_plus_complex ((times_times_complex A) (numera6690914467698888265omplex V))) ((times_times_complex B) (numera6690914467698888265omplex V))))) of role axiom named fact_44_distrib__right__numeral
% 0.76/0.96 A new axiom: (forall (A:complex) (B:complex) (V:num), (((eq complex) ((times_times_complex ((plus_plus_complex A) B)) (numera6690914467698888265omplex V))) ((plus_plus_complex ((times_times_complex A) (numera6690914467698888265omplex V))) ((times_times_complex B) (numera6690914467698888265omplex V)))))
% 0.76/0.96 FOF formula (forall (A:real) (B:real) (V:num), (((eq real) ((times_times_real ((plus_plus_real A) B)) (numeral_numeral_real V))) ((plus_plus_real ((times_times_real A) (numeral_numeral_real V))) ((times_times_real B) (numeral_numeral_real V))))) of role axiom named fact_45_distrib__right__numeral
% 0.76/0.96 A new axiom: (forall (A:real) (B:real) (V:num), (((eq real) ((times_times_real ((plus_plus_real A) B)) (numeral_numeral_real V))) ((plus_plus_real ((times_times_real A) (numeral_numeral_real V))) ((times_times_real B) (numeral_numeral_real V)))))
% 0.76/0.96 FOF formula (forall (A:rat) (B:rat) (V:num), (((eq rat) ((times_times_rat ((plus_plus_rat A) B)) (numeral_numeral_rat V))) ((plus_plus_rat ((times_times_rat A) (numeral_numeral_rat V))) ((times_times_rat B) (numeral_numeral_rat V))))) of role axiom named fact_46_distrib__right__numeral
% 0.76/0.96 A new axiom: (forall (A:rat) (B:rat) (V:num), (((eq rat) ((times_times_rat ((plus_plus_rat A) B)) (numeral_numeral_rat V))) ((plus_plus_rat ((times_times_rat A) (numeral_numeral_rat V))) ((times_times_rat B) (numeral_numeral_rat V)))))
% 0.76/0.96 FOF formula (forall (A:nat) (B:nat) (V:num), (((eq nat) ((times_times_nat ((plus_plus_nat A) B)) (numeral_numeral_nat V))) ((plus_plus_nat ((times_times_nat A) (numeral_numeral_nat V))) ((times_times_nat B) (numeral_numeral_nat V))))) of role axiom named fact_47_distrib__right__numeral
% 0.76/0.96 A new axiom: (forall (A:nat) (B:nat) (V:num), (((eq nat) ((times_times_nat ((plus_plus_nat A) B)) (numeral_numeral_nat V))) ((plus_plus_nat ((times_times_nat A) (numeral_numeral_nat V))) ((times_times_nat B) (numeral_numeral_nat V)))))
% 0.76/0.96 FOF formula (forall (A:int) (B:int) (V:num), (((eq int) ((times_times_int ((plus_plus_int A) B)) (numeral_numeral_int V))) ((plus_plus_int ((times_times_int A) (numeral_numeral_int V))) ((times_times_int B) (numeral_numeral_int V))))) of role axiom named fact_48_distrib__right__numeral
% 0.76/0.96 A new axiom: (forall (A:int) (B:int) (V:num), (((eq int) ((times_times_int ((plus_plus_int A) B)) (numeral_numeral_int V))) ((plus_plus_int ((times_times_int A) (numeral_numeral_int V))) ((times_times_int B) (numeral_numeral_int V)))))
% 0.76/0.96 FOF formula (forall (M:nat) (N:nat), (((eq Prop) (((eq nat) one_one_nat) ((times_times_nat M) N))) ((and (((eq nat) M) one_one_nat)) (((eq nat) N) one_one_nat)))) of role axiom named fact_49_nat__1__eq__mult__iff
% 0.76/0.96 A new axiom: (forall (M:nat) (N:nat), (((eq Prop) (((eq nat) one_one_nat) ((times_times_nat M) N))) ((and (((eq nat) M) one_one_nat)) (((eq nat) N) one_one_nat))))
% 0.76/0.96 FOF formula (forall (M:nat) (N:nat), (((eq Prop) (((eq nat) ((times_times_nat M) N)) one_one_nat)) ((and (((eq nat) M) one_one_nat)) (((eq nat) N) one_one_nat)))) of role axiom named fact_50_nat__mult__eq__1__iff
% 0.76/0.96 A new axiom: (forall (M:nat) (N:nat), (((eq Prop) (((eq nat) ((times_times_nat M) N)) one_one_nat)) ((and (((eq nat) M) one_one_nat)) (((eq nat) N) one_one_nat))))
% 0.76/0.97 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (((eq num) M) N))) of role axiom named fact_51_numeral__eq__iff
% 0.76/0.97 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (((eq num) M) N)))
% 0.76/0.97 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_52_numeral__eq__iff
% 0.76/0.97 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq real) (numeral_numeral_real M)) (numeral_numeral_real N))) (((eq num) M) N)))
% 0.76/0.97 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_53_numeral__eq__iff
% 0.76/0.97 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq rat) (numeral_numeral_rat M)) (numeral_numeral_rat N))) (((eq num) M) N)))
% 0.76/0.97 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_54_numeral__eq__iff
% 0.76/0.97 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat M)) (numeral_numeral_nat N))) (((eq num) M) N)))
% 0.76/0.97 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_55_numeral__eq__iff
% 0.76/0.97 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq int) (numeral_numeral_int M)) (numeral_numeral_int N))) (((eq num) M) N)))
% 0.76/0.97 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_56_pow__sum
% 0.76/0.97 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)))
% 0.76/0.97 FOF formula (((eq (nat->(nat->nat))) vEBT_VEBT_high) (fun (X:nat) (N2:nat)=> ((divide_divide_nat X) ((power_power_nat (numeral_numeral_nat (bit0 one))) N2)))) of role axiom named fact_57_high__def
% 0.76/0.97 A new axiom: (((eq (nat->(nat->nat))) vEBT_VEBT_high) (fun (X:nat) (N2:nat)=> ((divide_divide_nat X) ((power_power_nat (numeral_numeral_nat (bit0 one))) N2))))
% 0.76/0.97 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_58_high__bound__aux
% 0.76/0.97 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))))
% 0.76/0.97 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_59_numeral__less__iff
% 0.76/0.97 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)))
% 0.76/0.97 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_60_numeral__less__iff
% 0.76/0.97 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)))
% 0.76/0.97 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_61_numeral__less__iff
% 0.76/0.97 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)))
% 0.76/0.97 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_62_numeral__less__iff
% 0.76/0.97 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)))
% 0.76/0.97 FOF formula (forall (X2:nat) (N:nat) (Y2:nat), (((ord_less_nat X2) ((power_power_nat (numeral_numeral_nat (bit0 one))) N))->(((eq nat) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat Y2) ((power_power_nat (numeral_numeral_nat (bit0 one))) N))) X2)) N)) Y2))) of role axiom named fact_63_high__inv
% 0.76/0.97 A new axiom: (forall (X2:nat) (N:nat) (Y2:nat), (((ord_less_nat X2) ((power_power_nat (numeral_numeral_nat (bit0 one))) N))->(((eq nat) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat Y2) ((power_power_nat (numeral_numeral_nat (bit0 one))) N))) X2)) N)) Y2)))
% 0.76/0.97 FOF formula (forall (V:num) (W:num) (Z:complex), (((eq complex) ((times_times_complex (numera6690914467698888265omplex V)) ((times_times_complex (numera6690914467698888265omplex W)) Z))) ((times_times_complex (numera6690914467698888265omplex ((times_times_num V) W))) Z))) of role axiom named fact_64_mult__numeral__left__semiring__numeral
% 0.76/0.97 A new axiom: (forall (V:num) (W:num) (Z:complex), (((eq complex) ((times_times_complex (numera6690914467698888265omplex V)) ((times_times_complex (numera6690914467698888265omplex W)) Z))) ((times_times_complex (numera6690914467698888265omplex ((times_times_num V) W))) Z)))
% 0.76/0.97 FOF formula (forall (V:num) (W:num) (Z:real), (((eq real) ((times_times_real (numeral_numeral_real V)) ((times_times_real (numeral_numeral_real W)) Z))) ((times_times_real (numeral_numeral_real ((times_times_num V) W))) Z))) of role axiom named fact_65_mult__numeral__left__semiring__numeral
% 0.76/0.97 A new axiom: (forall (V:num) (W:num) (Z:real), (((eq real) ((times_times_real (numeral_numeral_real V)) ((times_times_real (numeral_numeral_real W)) Z))) ((times_times_real (numeral_numeral_real ((times_times_num V) W))) Z)))
% 0.76/0.97 FOF formula (forall (V:num) (W:num) (Z:rat), (((eq rat) ((times_times_rat (numeral_numeral_rat V)) ((times_times_rat (numeral_numeral_rat W)) Z))) ((times_times_rat (numeral_numeral_rat ((times_times_num V) W))) Z))) of role axiom named fact_66_mult__numeral__left__semiring__numeral
% 0.76/0.97 A new axiom: (forall (V:num) (W:num) (Z:rat), (((eq rat) ((times_times_rat (numeral_numeral_rat V)) ((times_times_rat (numeral_numeral_rat W)) Z))) ((times_times_rat (numeral_numeral_rat ((times_times_num V) W))) Z)))
% 0.76/0.97 FOF formula (forall (V:num) (W:num) (Z:nat), (((eq nat) ((times_times_nat (numeral_numeral_nat V)) ((times_times_nat (numeral_numeral_nat W)) Z))) ((times_times_nat (numeral_numeral_nat ((times_times_num V) W))) Z))) of role axiom named fact_67_mult__numeral__left__semiring__numeral
% 0.76/0.97 A new axiom: (forall (V:num) (W:num) (Z:nat), (((eq nat) ((times_times_nat (numeral_numeral_nat V)) ((times_times_nat (numeral_numeral_nat W)) Z))) ((times_times_nat (numeral_numeral_nat ((times_times_num V) W))) Z)))
% 0.76/0.97 FOF formula (forall (V:num) (W:num) (Z:int), (((eq int) ((times_times_int (numeral_numeral_int V)) ((times_times_int (numeral_numeral_int W)) Z))) ((times_times_int (numeral_numeral_int ((times_times_num V) W))) Z))) of role axiom named fact_68_mult__numeral__left__semiring__numeral
% 0.76/0.97 A new axiom: (forall (V:num) (W:num) (Z:int), (((eq int) ((times_times_int (numeral_numeral_int V)) ((times_times_int (numeral_numeral_int W)) Z))) ((times_times_int (numeral_numeral_int ((times_times_num V) W))) Z)))
% 0.76/0.97 FOF formula (forall (M:num) (N:num), (((eq complex) ((times_times_complex (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((times_times_num M) N)))) of role axiom named fact_69_numeral__times__numeral
% 0.76/0.97 A new axiom: (forall (M:num) (N:num), (((eq complex) ((times_times_complex (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((times_times_num M) N))))
% 0.76/0.97 FOF formula (forall (M:num) (N:num), (((eq real) ((times_times_real (numeral_numeral_real M)) (numeral_numeral_real N))) (numeral_numeral_real ((times_times_num M) N)))) of role axiom named fact_70_numeral__times__numeral
% 0.80/0.98 A new axiom: (forall (M:num) (N:num), (((eq real) ((times_times_real (numeral_numeral_real M)) (numeral_numeral_real N))) (numeral_numeral_real ((times_times_num M) N))))
% 0.80/0.98 FOF formula (forall (M:num) (N:num), (((eq rat) ((times_times_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) (numeral_numeral_rat ((times_times_num M) N)))) of role axiom named fact_71_numeral__times__numeral
% 0.80/0.98 A new axiom: (forall (M:num) (N:num), (((eq rat) ((times_times_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) (numeral_numeral_rat ((times_times_num M) N))))
% 0.80/0.98 FOF formula (forall (M:num) (N:num), (((eq nat) ((times_times_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) (numeral_numeral_nat ((times_times_num M) N)))) of role axiom named fact_72_numeral__times__numeral
% 0.80/0.98 A new axiom: (forall (M:num) (N:num), (((eq nat) ((times_times_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) (numeral_numeral_nat ((times_times_num M) N))))
% 0.80/0.98 FOF formula (forall (M:num) (N:num), (((eq int) ((times_times_int (numeral_numeral_int M)) (numeral_numeral_int N))) (numeral_numeral_int ((times_times_num M) N)))) of role axiom named fact_73_numeral__times__numeral
% 0.80/0.98 A new axiom: (forall (M:num) (N:num), (((eq int) ((times_times_int (numeral_numeral_int M)) (numeral_numeral_int N))) (numeral_numeral_int ((times_times_num M) N))))
% 0.80/0.98 FOF formula (forall (N:num), (((eq num) ((times_times_num (bit0 one)) N)) (bit0 N))) of role axiom named fact_74_num__double
% 0.80/0.98 A new axiom: (forall (N:num), (((eq num) ((times_times_num (bit0 one)) N)) (bit0 N)))
% 0.80/0.98 FOF formula (forall (K:nat) (M:nat) (N:nat), (((eq Prop) ((ord_less_nat ((plus_plus_nat K) M)) ((plus_plus_nat K) N))) ((ord_less_nat M) N))) of role axiom named fact_75_nat__add__left__cancel__less
% 0.80/0.98 A new axiom: (forall (K:nat) (M:nat) (N:nat), (((eq Prop) ((ord_less_nat ((plus_plus_nat K) M)) ((plus_plus_nat K) N))) ((ord_less_nat M) N)))
% 0.80/0.98 FOF formula (forall (K:nat) (M:nat) (N:nat), (((eq Prop) ((ord_less_eq_nat ((plus_plus_nat K) M)) ((plus_plus_nat K) N))) ((ord_less_eq_nat M) N))) of role axiom named fact_76_nat__add__left__cancel__le
% 0.80/0.98 A new axiom: (forall (K:nat) (M:nat) (N:nat), (((eq Prop) ((ord_less_eq_nat ((plus_plus_nat K) M)) ((plus_plus_nat K) N))) ((ord_less_eq_nat M) N)))
% 0.80/0.98 FOF formula (((eq (nat->(nat->(nat->nat)))) vEBT_VEBT_bit_concat) (fun (H:nat) (L:nat) (D:nat)=> ((plus_plus_nat ((times_times_nat H) ((power_power_nat (numeral_numeral_nat (bit0 one))) D))) L))) of role axiom named fact_77_bit__concat__def
% 0.80/0.98 A new axiom: (((eq (nat->(nat->(nat->nat)))) vEBT_VEBT_bit_concat) (fun (H:nat) (L:nat) (D:nat)=> ((plus_plus_nat ((times_times_nat H) ((power_power_nat (numeral_numeral_nat (bit0 one))) D))) L)))
% 0.80/0.98 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_78_add__numeral__left
% 0.80/0.98 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)))
% 0.80/0.98 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_79_add__numeral__left
% 0.80/0.98 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)))
% 0.80/0.98 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_80_add__numeral__left
% 0.80/0.98 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)))
% 0.80/0.99 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_81_add__numeral__left
% 0.80/0.99 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)))
% 0.80/0.99 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_82_add__numeral__left
% 0.80/0.99 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)))
% 0.80/0.99 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_83_numeral__plus__numeral
% 0.80/0.99 A new axiom: (forall (M:num) (N:num), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((plus_plus_num M) N))))
% 0.80/0.99 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_84_numeral__plus__numeral
% 0.80/0.99 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))))
% 0.80/0.99 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_85_numeral__plus__numeral
% 0.80/0.99 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))))
% 0.80/0.99 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_86_numeral__plus__numeral
% 0.80/0.99 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))))
% 0.80/0.99 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_87_numeral__plus__numeral
% 0.80/0.99 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))))
% 0.80/0.99 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real M)) (numeral_numeral_real N))) ((ord_less_eq_num M) N))) of role axiom named fact_88_numeral__le__iff
% 0.80/0.99 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real M)) (numeral_numeral_real N))) ((ord_less_eq_num M) N)))
% 0.80/0.99 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) ((ord_less_eq_num M) N))) of role axiom named fact_89_numeral__le__iff
% 0.80/0.99 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) ((ord_less_eq_num M) N)))
% 0.80/0.99 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) ((ord_less_eq_num M) N))) of role axiom named fact_90_numeral__le__iff
% 0.80/0.99 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) ((ord_less_eq_num M) N)))
% 0.80/0.99 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_int (numeral_numeral_int M)) (numeral_numeral_int N))) ((ord_less_eq_num M) N))) of role axiom named fact_91_numeral__le__iff
% 0.80/1.00 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_int (numeral_numeral_int M)) (numeral_numeral_int N))) ((ord_less_eq_num M) N)))
% 0.80/1.00 FOF formula (forall (N:num), (((eq Prop) ((ord_less_real one_one_real) (numeral_numeral_real N))) ((ord_less_num one) N))) of role axiom named fact_92_one__less__numeral__iff
% 0.80/1.00 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_real one_one_real) (numeral_numeral_real N))) ((ord_less_num one) N)))
% 0.80/1.00 FOF formula (forall (N:num), (((eq Prop) ((ord_less_rat one_one_rat) (numeral_numeral_rat N))) ((ord_less_num one) N))) of role axiom named fact_93_one__less__numeral__iff
% 0.80/1.00 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_rat one_one_rat) (numeral_numeral_rat N))) ((ord_less_num one) N)))
% 0.80/1.00 FOF formula (forall (N:num), (((eq Prop) ((ord_less_nat one_one_nat) (numeral_numeral_nat N))) ((ord_less_num one) N))) of role axiom named fact_94_one__less__numeral__iff
% 0.80/1.00 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_nat one_one_nat) (numeral_numeral_nat N))) ((ord_less_num one) N)))
% 0.80/1.00 FOF formula (forall (N:num), (((eq Prop) ((ord_less_int one_one_int) (numeral_numeral_int N))) ((ord_less_num one) N))) of role axiom named fact_95_one__less__numeral__iff
% 0.80/1.00 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_int one_one_int) (numeral_numeral_int N))) ((ord_less_num one) N)))
% 0.80/1.00 FOF formula (forall (A:real) (B:real) (W:num), (((eq Prop) ((ord_less_eq_real A) ((divide_divide_real B) (numeral_numeral_real W)))) ((ord_less_eq_real ((times_times_real A) (numeral_numeral_real W))) B))) of role axiom named fact_96_le__divide__eq__numeral1_I1_J
% 0.80/1.00 A new axiom: (forall (A:real) (B:real) (W:num), (((eq Prop) ((ord_less_eq_real A) ((divide_divide_real B) (numeral_numeral_real W)))) ((ord_less_eq_real ((times_times_real A) (numeral_numeral_real W))) B)))
% 0.80/1.00 FOF formula (forall (A:rat) (B:rat) (W:num), (((eq Prop) ((ord_less_eq_rat A) ((divide_divide_rat B) (numeral_numeral_rat W)))) ((ord_less_eq_rat ((times_times_rat A) (numeral_numeral_rat W))) B))) of role axiom named fact_97_le__divide__eq__numeral1_I1_J
% 0.80/1.00 A new axiom: (forall (A:rat) (B:rat) (W:num), (((eq Prop) ((ord_less_eq_rat A) ((divide_divide_rat B) (numeral_numeral_rat W)))) ((ord_less_eq_rat ((times_times_rat A) (numeral_numeral_rat W))) B)))
% 0.80/1.00 FOF formula (forall (B:real) (W:num) (A:real), (((eq Prop) ((ord_less_eq_real ((divide_divide_real B) (numeral_numeral_real W))) A)) ((ord_less_eq_real B) ((times_times_real A) (numeral_numeral_real W))))) of role axiom named fact_98_divide__le__eq__numeral1_I1_J
% 0.80/1.00 A new axiom: (forall (B:real) (W:num) (A:real), (((eq Prop) ((ord_less_eq_real ((divide_divide_real B) (numeral_numeral_real W))) A)) ((ord_less_eq_real B) ((times_times_real A) (numeral_numeral_real W)))))
% 0.80/1.00 FOF formula (forall (B:rat) (W:num) (A:rat), (((eq Prop) ((ord_less_eq_rat ((divide_divide_rat B) (numeral_numeral_rat W))) A)) ((ord_less_eq_rat B) ((times_times_rat A) (numeral_numeral_rat W))))) of role axiom named fact_99_divide__le__eq__numeral1_I1_J
% 0.80/1.00 A new axiom: (forall (B:rat) (W:num) (A:rat), (((eq Prop) ((ord_less_eq_rat ((divide_divide_rat B) (numeral_numeral_rat W))) A)) ((ord_less_eq_rat B) ((times_times_rat A) (numeral_numeral_rat W)))))
% 0.80/1.00 FOF formula (forall (A:real) (B:real) (W:num), (((eq Prop) ((ord_less_real A) ((divide_divide_real B) (numeral_numeral_real W)))) ((ord_less_real ((times_times_real A) (numeral_numeral_real W))) B))) of role axiom named fact_100_less__divide__eq__numeral1_I1_J
% 0.80/1.00 A new axiom: (forall (A:real) (B:real) (W:num), (((eq Prop) ((ord_less_real A) ((divide_divide_real B) (numeral_numeral_real W)))) ((ord_less_real ((times_times_real A) (numeral_numeral_real W))) B)))
% 0.80/1.00 FOF formula (forall (A:rat) (B:rat) (W:num), (((eq Prop) ((ord_less_rat A) ((divide_divide_rat B) (numeral_numeral_rat W)))) ((ord_less_rat ((times_times_rat A) (numeral_numeral_rat W))) B))) of role axiom named fact_101_less__divide__eq__numeral1_I1_J
% 0.80/1.00 A new axiom: (forall (A:rat) (B:rat) (W:num), (((eq Prop) ((ord_less_rat A) ((divide_divide_rat B) (numeral_numeral_rat W)))) ((ord_less_rat ((times_times_rat A) (numeral_numeral_rat W))) B)))
% 0.80/1.01 FOF formula (forall (B:real) (W:num) (A:real), (((eq Prop) ((ord_less_real ((divide_divide_real B) (numeral_numeral_real W))) A)) ((ord_less_real B) ((times_times_real A) (numeral_numeral_real W))))) of role axiom named fact_102_divide__less__eq__numeral1_I1_J
% 0.80/1.01 A new axiom: (forall (B:real) (W:num) (A:real), (((eq Prop) ((ord_less_real ((divide_divide_real B) (numeral_numeral_real W))) A)) ((ord_less_real B) ((times_times_real A) (numeral_numeral_real W)))))
% 0.80/1.01 FOF formula (forall (B:rat) (W:num) (A:rat), (((eq Prop) ((ord_less_rat ((divide_divide_rat B) (numeral_numeral_rat W))) A)) ((ord_less_rat B) ((times_times_rat A) (numeral_numeral_rat W))))) of role axiom named fact_103_divide__less__eq__numeral1_I1_J
% 0.80/1.01 A new axiom: (forall (B:rat) (W:num) (A:rat), (((eq Prop) ((ord_less_rat ((divide_divide_rat B) (numeral_numeral_rat W))) A)) ((ord_less_rat B) ((times_times_rat A) (numeral_numeral_rat W)))))
% 0.80/1.01 FOF formula (forall (M:nat) (N:nat), (((eq Prop) (not (((eq nat) M) N))) ((or ((ord_less_nat M) N)) ((ord_less_nat N) M)))) of role axiom named fact_104_nat__neq__iff
% 0.80/1.01 A new axiom: (forall (M:nat) (N:nat), (((eq Prop) (not (((eq nat) M) N))) ((or ((ord_less_nat M) N)) ((ord_less_nat N) M))))
% 0.80/1.01 FOF formula (forall (N:nat), (((ord_less_nat N) N)->False)) of role axiom named fact_105_less__not__refl
% 0.80/1.01 A new axiom: (forall (N:nat), (((ord_less_nat N) N)->False))
% 0.80/1.01 FOF formula (forall (N:nat) (M:nat), (((ord_less_nat N) M)->(not (((eq nat) M) N)))) of role axiom named fact_106_less__not__refl2
% 0.80/1.01 A new axiom: (forall (N:nat) (M:nat), (((ord_less_nat N) M)->(not (((eq nat) M) N))))
% 0.80/1.01 FOF formula (forall (S:nat) (T:nat), (((ord_less_nat S) T)->(not (((eq nat) S) T)))) of role axiom named fact_107_less__not__refl3
% 0.80/1.01 A new axiom: (forall (S:nat) (T:nat), (((ord_less_nat S) T)->(not (((eq nat) S) T))))
% 0.80/1.01 FOF formula (forall (A:product_prod_nat_nat) (P:(product_prod_nat_nat->Prop)), (((eq Prop) ((member8440522571783428010at_nat A) (collec3392354462482085612at_nat P))) (P A))) of role axiom named fact_108_mem__Collect__eq
% 0.80/1.01 A new axiom: (forall (A:product_prod_nat_nat) (P:(product_prod_nat_nat->Prop)), (((eq Prop) ((member8440522571783428010at_nat A) (collec3392354462482085612at_nat P))) (P A)))
% 0.80/1.01 FOF formula (forall (A:complex) (P:(complex->Prop)), (((eq Prop) ((member_complex A) (collect_complex P))) (P A))) of role axiom named fact_109_mem__Collect__eq
% 0.80/1.01 A new axiom: (forall (A:complex) (P:(complex->Prop)), (((eq Prop) ((member_complex A) (collect_complex P))) (P A)))
% 0.80/1.01 FOF formula (forall (A:real) (P:(real->Prop)), (((eq Prop) ((member_real A) (collect_real P))) (P A))) of role axiom named fact_110_mem__Collect__eq
% 0.80/1.01 A new axiom: (forall (A:real) (P:(real->Prop)), (((eq Prop) ((member_real A) (collect_real P))) (P A)))
% 0.80/1.01 FOF formula (forall (A:list_nat) (P:(list_nat->Prop)), (((eq Prop) ((member_list_nat A) (collect_list_nat P))) (P A))) of role axiom named fact_111_mem__Collect__eq
% 0.80/1.01 A new axiom: (forall (A:list_nat) (P:(list_nat->Prop)), (((eq Prop) ((member_list_nat A) (collect_list_nat P))) (P A)))
% 0.80/1.01 FOF formula (forall (A:nat) (P:(nat->Prop)), (((eq Prop) ((member_nat A) (collect_nat P))) (P A))) of role axiom named fact_112_mem__Collect__eq
% 0.80/1.01 A new axiom: (forall (A:nat) (P:(nat->Prop)), (((eq Prop) ((member_nat A) (collect_nat P))) (P A)))
% 0.80/1.01 FOF formula (forall (A:int) (P:(int->Prop)), (((eq Prop) ((member_int A) (collect_int P))) (P A))) of role axiom named fact_113_mem__Collect__eq
% 0.80/1.01 A new axiom: (forall (A:int) (P:(int->Prop)), (((eq Prop) ((member_int A) (collect_int P))) (P A)))
% 0.80/1.01 FOF formula (forall (A2:set_Pr1261947904930325089at_nat), (((eq set_Pr1261947904930325089at_nat) (collec3392354462482085612at_nat (fun (X:product_prod_nat_nat)=> ((member8440522571783428010at_nat X) A2)))) A2)) of role axiom named fact_114_Collect__mem__eq
% 0.80/1.01 A new axiom: (forall (A2:set_Pr1261947904930325089at_nat), (((eq set_Pr1261947904930325089at_nat) (collec3392354462482085612at_nat (fun (X:product_prod_nat_nat)=> ((member8440522571783428010at_nat X) A2)))) A2))
% 0.80/1.02 FOF formula (forall (A2:set_complex), (((eq set_complex) (collect_complex (fun (X:complex)=> ((member_complex X) A2)))) A2)) of role axiom named fact_115_Collect__mem__eq
% 0.80/1.02 A new axiom: (forall (A2:set_complex), (((eq set_complex) (collect_complex (fun (X:complex)=> ((member_complex X) A2)))) A2))
% 0.80/1.02 FOF formula (forall (A2:set_real), (((eq set_real) (collect_real (fun (X:real)=> ((member_real X) A2)))) A2)) of role axiom named fact_116_Collect__mem__eq
% 0.80/1.02 A new axiom: (forall (A2:set_real), (((eq set_real) (collect_real (fun (X:real)=> ((member_real X) A2)))) A2))
% 0.80/1.02 FOF formula (forall (A2:set_list_nat), (((eq set_list_nat) (collect_list_nat (fun (X:list_nat)=> ((member_list_nat X) A2)))) A2)) of role axiom named fact_117_Collect__mem__eq
% 0.80/1.02 A new axiom: (forall (A2:set_list_nat), (((eq set_list_nat) (collect_list_nat (fun (X:list_nat)=> ((member_list_nat X) A2)))) A2))
% 0.80/1.02 FOF formula (forall (A2:set_nat), (((eq set_nat) (collect_nat (fun (X:nat)=> ((member_nat X) A2)))) A2)) of role axiom named fact_118_Collect__mem__eq
% 0.80/1.02 A new axiom: (forall (A2:set_nat), (((eq set_nat) (collect_nat (fun (X:nat)=> ((member_nat X) A2)))) A2))
% 0.80/1.02 FOF formula (forall (A2:set_int), (((eq set_int) (collect_int (fun (X:int)=> ((member_int X) A2)))) A2)) of role axiom named fact_119_Collect__mem__eq
% 0.80/1.02 A new axiom: (forall (A2:set_int), (((eq set_int) (collect_int (fun (X:int)=> ((member_int X) A2)))) A2))
% 0.80/1.02 FOF formula (forall (P:(complex->Prop)) (Q:(complex->Prop)), ((forall (X3:complex), (((eq Prop) (P X3)) (Q X3)))->(((eq set_complex) (collect_complex P)) (collect_complex Q)))) of role axiom named fact_120_Collect__cong
% 0.80/1.02 A new axiom: (forall (P:(complex->Prop)) (Q:(complex->Prop)), ((forall (X3:complex), (((eq Prop) (P X3)) (Q X3)))->(((eq set_complex) (collect_complex P)) (collect_complex Q))))
% 0.80/1.02 FOF formula (forall (P:(real->Prop)) (Q:(real->Prop)), ((forall (X3:real), (((eq Prop) (P X3)) (Q X3)))->(((eq set_real) (collect_real P)) (collect_real Q)))) of role axiom named fact_121_Collect__cong
% 0.80/1.02 A new axiom: (forall (P:(real->Prop)) (Q:(real->Prop)), ((forall (X3:real), (((eq Prop) (P X3)) (Q X3)))->(((eq set_real) (collect_real P)) (collect_real Q))))
% 0.80/1.02 FOF formula (forall (P:(list_nat->Prop)) (Q:(list_nat->Prop)), ((forall (X3:list_nat), (((eq Prop) (P X3)) (Q X3)))->(((eq set_list_nat) (collect_list_nat P)) (collect_list_nat Q)))) of role axiom named fact_122_Collect__cong
% 0.80/1.02 A new axiom: (forall (P:(list_nat->Prop)) (Q:(list_nat->Prop)), ((forall (X3:list_nat), (((eq Prop) (P X3)) (Q X3)))->(((eq set_list_nat) (collect_list_nat P)) (collect_list_nat Q))))
% 0.80/1.02 FOF formula (forall (P:(nat->Prop)) (Q:(nat->Prop)), ((forall (X3:nat), (((eq Prop) (P X3)) (Q X3)))->(((eq set_nat) (collect_nat P)) (collect_nat Q)))) of role axiom named fact_123_Collect__cong
% 0.80/1.02 A new axiom: (forall (P:(nat->Prop)) (Q:(nat->Prop)), ((forall (X3:nat), (((eq Prop) (P X3)) (Q X3)))->(((eq set_nat) (collect_nat P)) (collect_nat Q))))
% 0.80/1.02 FOF formula (forall (P:(int->Prop)) (Q:(int->Prop)), ((forall (X3:int), (((eq Prop) (P X3)) (Q X3)))->(((eq set_int) (collect_int P)) (collect_int Q)))) of role axiom named fact_124_Collect__cong
% 0.80/1.02 A new axiom: (forall (P:(int->Prop)) (Q:(int->Prop)), ((forall (X3:int), (((eq Prop) (P X3)) (Q X3)))->(((eq set_int) (collect_int P)) (collect_int Q))))
% 0.80/1.02 FOF formula (forall (N:nat), (((ord_less_nat N) N)->False)) of role axiom named fact_125_less__irrefl__nat
% 0.80/1.02 A new axiom: (forall (N:nat), (((ord_less_nat N) N)->False))
% 0.80/1.02 FOF formula (forall (P:(nat->Prop)) (N:nat), ((forall (N3:nat), ((forall (M2:nat), (((ord_less_nat M2) N3)->(P M2)))->(P N3)))->(P N))) of role axiom named fact_126_nat__less__induct
% 0.80/1.02 A new axiom: (forall (P:(nat->Prop)) (N:nat), ((forall (N3:nat), ((forall (M2:nat), (((ord_less_nat M2) N3)->(P M2)))->(P N3)))->(P N)))
% 0.80/1.02 FOF formula (forall (P:(nat->Prop)) (N:nat), ((forall (N3:nat), (((P N3)->False)->((ex nat) (fun (M2:nat)=> ((and ((ord_less_nat M2) N3)) ((P M2)->False))))))->(P N))) of role axiom named fact_127_infinite__descent
% 0.80/1.02 A new axiom: (forall (P:(nat->Prop)) (N:nat), ((forall (N3:nat), (((P N3)->False)->((ex nat) (fun (M2:nat)=> ((and ((ord_less_nat M2) N3)) ((P M2)->False))))))->(P N)))
% 0.80/1.03 FOF formula (forall (X2:nat) (Y2:nat), ((not (((eq nat) X2) Y2))->((((ord_less_nat X2) Y2)->False)->((ord_less_nat Y2) X2)))) of role axiom named fact_128_linorder__neqE__nat
% 0.80/1.03 A new axiom: (forall (X2:nat) (Y2:nat), ((not (((eq nat) X2) Y2))->((((ord_less_nat X2) Y2)->False)->((ord_less_nat Y2) X2))))
% 0.80/1.03 FOF formula (forall (N:num), (((eq num) ((plus_plus_num one) N)) ((plus_plus_num N) one))) of role axiom named fact_129_add__One__commute
% 0.80/1.03 A new axiom: (forall (N:num), (((eq num) ((plus_plus_num one) N)) ((plus_plus_num N) one)))
% 0.80/1.03 FOF formula (forall (X2:num), (((eq Prop) ((ord_less_eq_num X2) one)) (((eq num) X2) one))) of role axiom named fact_130_le__num__One__iff
% 0.80/1.03 A new axiom: (forall (X2:num), (((eq Prop) ((ord_less_eq_num X2) one)) (((eq num) X2) one)))
% 0.80/1.03 FOF formula (((ord_less_real one_one_real) one_one_real)->False) of role axiom named fact_131_less__numeral__extra_I4_J
% 0.80/1.03 A new axiom: (((ord_less_real one_one_real) one_one_real)->False)
% 0.80/1.03 FOF formula (((ord_less_rat one_one_rat) one_one_rat)->False) of role axiom named fact_132_less__numeral__extra_I4_J
% 0.80/1.03 A new axiom: (((ord_less_rat one_one_rat) one_one_rat)->False)
% 0.80/1.03 FOF formula (((ord_less_nat one_one_nat) one_one_nat)->False) of role axiom named fact_133_less__numeral__extra_I4_J
% 0.80/1.03 A new axiom: (((ord_less_nat one_one_nat) one_one_nat)->False)
% 0.80/1.03 FOF formula (((ord_less_int one_one_int) one_one_int)->False) of role axiom named fact_134_less__numeral__extra_I4_J
% 0.80/1.03 A new axiom: (((ord_less_int one_one_int) one_one_int)->False)
% 0.80/1.03 FOF formula (forall (F:(nat->nat)) (_TPTP_I:nat) (J:nat), ((forall (I2:nat) (J2:nat), (((ord_less_nat I2) J2)->((ord_less_nat (F I2)) (F J2))))->(((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat (F _TPTP_I)) (F J))))) of role axiom named fact_135_less__mono__imp__le__mono
% 0.80/1.03 A new axiom: (forall (F:(nat->nat)) (_TPTP_I:nat) (J:nat), ((forall (I2:nat) (J2:nat), (((ord_less_nat I2) J2)->((ord_less_nat (F I2)) (F J2))))->(((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat (F _TPTP_I)) (F J)))))
% 0.80/1.03 FOF formula (forall (M:nat) (N:nat), (((ord_less_eq_nat M) N)->((not (((eq nat) M) N))->((ord_less_nat M) N)))) of role axiom named fact_136_le__neq__implies__less
% 0.80/1.03 A new axiom: (forall (M:nat) (N:nat), (((ord_less_eq_nat M) N)->((not (((eq nat) M) N))->((ord_less_nat M) N))))
% 0.80/1.03 FOF formula (forall (M:nat) (N:nat), (((or ((ord_less_nat M) N)) (((eq nat) M) N))->((ord_less_eq_nat M) N))) of role axiom named fact_137_less__or__eq__imp__le
% 0.80/1.03 A new axiom: (forall (M:nat) (N:nat), (((or ((ord_less_nat M) N)) (((eq nat) M) N))->((ord_less_eq_nat M) N)))
% 0.80/1.03 FOF formula (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (M3:nat) (N2:nat)=> ((or ((ord_less_nat M3) N2)) (((eq nat) M3) N2)))) of role axiom named fact_138_le__eq__less__or__eq
% 0.80/1.03 A new axiom: (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (M3:nat) (N2:nat)=> ((or ((ord_less_nat M3) N2)) (((eq nat) M3) N2))))
% 0.80/1.03 FOF formula (forall (M:nat) (N:nat), (((ord_less_nat M) N)->((ord_less_eq_nat M) N))) of role axiom named fact_139_less__imp__le__nat
% 0.80/1.03 A new axiom: (forall (M:nat) (N:nat), (((ord_less_nat M) N)->((ord_less_eq_nat M) N)))
% 0.80/1.03 FOF formula (((eq (nat->(nat->Prop))) ord_less_nat) (fun (M3:nat) (N2:nat)=> ((and ((ord_less_eq_nat M3) N2)) (not (((eq nat) M3) N2))))) of role axiom named fact_140_nat__less__le
% 0.80/1.03 A new axiom: (((eq (nat->(nat->Prop))) ord_less_nat) (fun (M3:nat) (N2:nat)=> ((and ((ord_less_eq_nat M3) N2)) (not (((eq nat) M3) N2)))))
% 0.80/1.03 FOF formula (forall (K:nat) (L2:nat) (M:nat) (N:nat), (((ord_less_nat K) L2)->((((eq nat) ((plus_plus_nat M) L2)) ((plus_plus_nat K) N))->((ord_less_nat M) N)))) of role axiom named fact_141_less__add__eq__less
% 0.80/1.03 A new axiom: (forall (K:nat) (L2:nat) (M:nat) (N:nat), (((ord_less_nat K) L2)->((((eq nat) ((plus_plus_nat M) L2)) ((plus_plus_nat K) N))->((ord_less_nat M) N))))
% 0.80/1.03 FOF formula (forall (_TPTP_I:nat) (J:nat) (M:nat), (((ord_less_nat _TPTP_I) J)->((ord_less_nat _TPTP_I) ((plus_plus_nat M) J)))) of role axiom named fact_142_trans__less__add2
% 0.80/1.03 A new axiom: (forall (_TPTP_I:nat) (J:nat) (M:nat), (((ord_less_nat _TPTP_I) J)->((ord_less_nat _TPTP_I) ((plus_plus_nat M) J))))
% 0.80/1.04 FOF formula (forall (_TPTP_I:nat) (J:nat) (M:nat), (((ord_less_nat _TPTP_I) J)->((ord_less_nat _TPTP_I) ((plus_plus_nat J) M)))) of role axiom named fact_143_trans__less__add1
% 0.80/1.04 A new axiom: (forall (_TPTP_I:nat) (J:nat) (M:nat), (((ord_less_nat _TPTP_I) J)->((ord_less_nat _TPTP_I) ((plus_plus_nat J) M))))
% 0.80/1.04 FOF formula (forall (_TPTP_I:nat) (J:nat) (K:nat), (((ord_less_nat _TPTP_I) J)->((ord_less_nat ((plus_plus_nat _TPTP_I) K)) ((plus_plus_nat J) K)))) of role axiom named fact_144_add__less__mono1
% 0.80/1.04 A new axiom: (forall (_TPTP_I:nat) (J:nat) (K:nat), (((ord_less_nat _TPTP_I) J)->((ord_less_nat ((plus_plus_nat _TPTP_I) K)) ((plus_plus_nat J) K))))
% 0.80/1.04 FOF formula (forall (J:nat) (_TPTP_I:nat), (((ord_less_nat ((plus_plus_nat J) _TPTP_I)) _TPTP_I)->False)) of role axiom named fact_145_not__add__less2
% 0.80/1.04 A new axiom: (forall (J:nat) (_TPTP_I:nat), (((ord_less_nat ((plus_plus_nat J) _TPTP_I)) _TPTP_I)->False))
% 0.80/1.04 FOF formula (forall (_TPTP_I:nat) (J:nat), (((ord_less_nat ((plus_plus_nat _TPTP_I) J)) _TPTP_I)->False)) of role axiom named fact_146_not__add__less1
% 0.80/1.04 A new axiom: (forall (_TPTP_I:nat) (J:nat), (((ord_less_nat ((plus_plus_nat _TPTP_I) J)) _TPTP_I)->False))
% 0.80/1.04 FOF formula (forall (_TPTP_I:nat) (J:nat) (K:nat) (L2:nat), (((ord_less_nat _TPTP_I) J)->(((ord_less_nat K) L2)->((ord_less_nat ((plus_plus_nat _TPTP_I) K)) ((plus_plus_nat J) L2))))) of role axiom named fact_147_add__less__mono
% 0.80/1.04 A new axiom: (forall (_TPTP_I:nat) (J:nat) (K:nat) (L2:nat), (((ord_less_nat _TPTP_I) J)->(((ord_less_nat K) L2)->((ord_less_nat ((plus_plus_nat _TPTP_I) K)) ((plus_plus_nat J) L2)))))
% 0.80/1.04 FOF formula (forall (_TPTP_I:nat) (J:nat) (K:nat), (((ord_less_nat ((plus_plus_nat _TPTP_I) J)) K)->((ord_less_nat _TPTP_I) K))) of role axiom named fact_148_add__lessD1
% 0.80/1.04 A new axiom: (forall (_TPTP_I:nat) (J:nat) (K:nat), (((ord_less_nat ((plus_plus_nat _TPTP_I) J)) K)->((ord_less_nat _TPTP_I) K)))
% 0.80/1.04 FOF formula (forall (A:real) (B:real) (C:real), (((eq real) ((plus_plus_real ((plus_plus_real A) B)) C)) ((plus_plus_real A) ((plus_plus_real B) C)))) of role axiom named fact_149_is__num__normalize_I1_J
% 0.80/1.04 A new axiom: (forall (A:real) (B:real) (C:real), (((eq real) ((plus_plus_real ((plus_plus_real A) B)) C)) ((plus_plus_real A) ((plus_plus_real B) C))))
% 0.80/1.04 FOF formula (forall (A:rat) (B:rat) (C:rat), (((eq rat) ((plus_plus_rat ((plus_plus_rat A) B)) C)) ((plus_plus_rat A) ((plus_plus_rat B) C)))) of role axiom named fact_150_is__num__normalize_I1_J
% 0.80/1.04 A new axiom: (forall (A:rat) (B:rat) (C:rat), (((eq rat) ((plus_plus_rat ((plus_plus_rat A) B)) C)) ((plus_plus_rat A) ((plus_plus_rat B) C))))
% 0.80/1.04 FOF formula (forall (A:int) (B:int) (C:int), (((eq int) ((plus_plus_int ((plus_plus_int A) B)) C)) ((plus_plus_int A) ((plus_plus_int B) C)))) of role axiom named fact_151_is__num__normalize_I1_J
% 0.80/1.04 A new axiom: (forall (A:int) (B:int) (C:int), (((eq int) ((plus_plus_int ((plus_plus_int A) B)) C)) ((plus_plus_int A) ((plus_plus_int B) C))))
% 0.80/1.04 FOF formula (forall (P:(nat->Prop)) (K:nat) (B:nat), ((P K)->((forall (Y3:nat), ((P Y3)->((ord_less_eq_nat Y3) B)))->((ex nat) (fun (X3:nat)=> ((and (P X3)) (forall (Y4:nat), ((P Y4)->((ord_less_eq_nat Y4) X3))))))))) of role axiom named fact_152_Nat_Oex__has__greatest__nat
% 0.80/1.04 A new axiom: (forall (P:(nat->Prop)) (K:nat) (B:nat), ((P K)->((forall (Y3:nat), ((P Y3)->((ord_less_eq_nat Y3) B)))->((ex nat) (fun (X3:nat)=> ((and (P X3)) (forall (Y4:nat), ((P Y4)->((ord_less_eq_nat Y4) X3)))))))))
% 0.80/1.04 FOF formula (forall (M:nat) (N:nat), ((or ((ord_less_eq_nat M) N)) ((ord_less_eq_nat N) M))) of role axiom named fact_153_nat__le__linear
% 0.80/1.04 A new axiom: (forall (M:nat) (N:nat), ((or ((ord_less_eq_nat M) N)) ((ord_less_eq_nat N) M)))
% 0.80/1.04 FOF formula (forall (M:nat) (N:nat), (((ord_less_eq_nat M) N)->(((ord_less_eq_nat N) M)->(((eq nat) M) N)))) of role axiom named fact_154_le__antisym
% 0.80/1.04 A new axiom: (forall (M:nat) (N:nat), (((ord_less_eq_nat M) N)->(((ord_less_eq_nat N) M)->(((eq nat) M) N))))
% 0.80/1.04 FOF formula (forall (M:nat) (N:nat), ((((eq nat) M) N)->((ord_less_eq_nat M) N))) of role axiom named fact_155_eq__imp__le
% 0.80/1.04 A new axiom: (forall (M:nat) (N:nat), ((((eq nat) M) N)->((ord_less_eq_nat M) N)))
% 0.87/1.05 FOF formula (forall (_TPTP_I:nat) (J:nat) (K:nat), (((ord_less_eq_nat _TPTP_I) J)->(((ord_less_eq_nat J) K)->((ord_less_eq_nat _TPTP_I) K)))) of role axiom named fact_156_le__trans
% 0.87/1.05 A new axiom: (forall (_TPTP_I:nat) (J:nat) (K:nat), (((ord_less_eq_nat _TPTP_I) J)->(((ord_less_eq_nat J) K)->((ord_less_eq_nat _TPTP_I) K))))
% 0.87/1.05 FOF formula (forall (N:nat), ((ord_less_eq_nat N) N)) of role axiom named fact_157_le__refl
% 0.87/1.05 A new axiom: (forall (N:nat), ((ord_less_eq_nat N) N))
% 0.87/1.05 FOF formula (forall (A:complex), (((eq complex) ((divide1717551699836669952omplex A) (numera6690914467698888265omplex one))) A)) of role axiom named fact_158_divide__numeral__1
% 0.87/1.05 A new axiom: (forall (A:complex), (((eq complex) ((divide1717551699836669952omplex A) (numera6690914467698888265omplex one))) A))
% 0.87/1.05 FOF formula (forall (A:real), (((eq real) ((divide_divide_real A) (numeral_numeral_real one))) A)) of role axiom named fact_159_divide__numeral__1
% 0.87/1.05 A new axiom: (forall (A:real), (((eq real) ((divide_divide_real A) (numeral_numeral_real one))) A))
% 0.87/1.05 FOF formula (forall (A:rat), (((eq rat) ((divide_divide_rat A) (numeral_numeral_rat one))) A)) of role axiom named fact_160_divide__numeral__1
% 0.87/1.05 A new axiom: (forall (A:rat), (((eq rat) ((divide_divide_rat A) (numeral_numeral_rat one))) A))
% 0.87/1.05 FOF formula (forall (N:num), (((ord_less_real (numeral_numeral_real N)) one_one_real)->False)) of role axiom named fact_161_not__numeral__less__one
% 0.87/1.05 A new axiom: (forall (N:num), (((ord_less_real (numeral_numeral_real N)) one_one_real)->False))
% 0.87/1.05 FOF formula (forall (N:num), (((ord_less_rat (numeral_numeral_rat N)) one_one_rat)->False)) of role axiom named fact_162_not__numeral__less__one
% 0.87/1.05 A new axiom: (forall (N:num), (((ord_less_rat (numeral_numeral_rat N)) one_one_rat)->False))
% 0.87/1.05 FOF formula (forall (N:num), (((ord_less_nat (numeral_numeral_nat N)) one_one_nat)->False)) of role axiom named fact_163_not__numeral__less__one
% 0.87/1.05 A new axiom: (forall (N:num), (((ord_less_nat (numeral_numeral_nat N)) one_one_nat)->False))
% 0.87/1.05 FOF formula (forall (N:num), (((ord_less_int (numeral_numeral_int N)) one_one_int)->False)) of role axiom named fact_164_not__numeral__less__one
% 0.87/1.05 A new axiom: (forall (N:num), (((ord_less_int (numeral_numeral_int N)) one_one_int)->False))
% 0.87/1.05 FOF formula (forall (F:(nat->nat)) (M:nat) (K:nat), ((forall (M4:nat) (N3:nat), (((ord_less_nat M4) N3)->((ord_less_nat (F M4)) (F N3))))->((ord_less_eq_nat ((plus_plus_nat (F M)) K)) (F ((plus_plus_nat M) K))))) of role axiom named fact_165_mono__nat__linear__lb
% 0.87/1.05 A new axiom: (forall (F:(nat->nat)) (M:nat) (K:nat), ((forall (M4:nat) (N3:nat), (((ord_less_nat M4) N3)->((ord_less_nat (F M4)) (F N3))))->((ord_less_eq_nat ((plus_plus_nat (F M)) K)) (F ((plus_plus_nat M) K)))))
% 0.87/1.05 FOF formula ((ord_less_eq_real one_one_real) one_one_real) of role axiom named fact_166_le__numeral__extra_I4_J
% 0.87/1.05 A new axiom: ((ord_less_eq_real one_one_real) one_one_real)
% 0.87/1.05 FOF formula ((ord_less_eq_rat one_one_rat) one_one_rat) of role axiom named fact_167_le__numeral__extra_I4_J
% 0.87/1.05 A new axiom: ((ord_less_eq_rat one_one_rat) one_one_rat)
% 0.87/1.05 FOF formula ((ord_less_eq_nat one_one_nat) one_one_nat) of role axiom named fact_168_le__numeral__extra_I4_J
% 0.87/1.05 A new axiom: ((ord_less_eq_nat one_one_nat) one_one_nat)
% 0.87/1.05 FOF formula ((ord_less_eq_int one_one_int) one_one_int) of role axiom named fact_169_le__numeral__extra_I4_J
% 0.87/1.05 A new axiom: ((ord_less_eq_int one_one_int) one_one_int)
% 0.87/1.05 FOF formula (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (M3:nat) (N2:nat)=> ((ex nat) (fun (K2:nat)=> (((eq nat) N2) ((plus_plus_nat M3) K2)))))) of role axiom named fact_170_nat__le__iff__add
% 0.87/1.05 A new axiom: (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (M3:nat) (N2:nat)=> ((ex nat) (fun (K2:nat)=> (((eq nat) N2) ((plus_plus_nat M3) K2))))))
% 0.87/1.05 FOF formula (forall (_TPTP_I:nat) (J:nat) (M:nat), (((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat _TPTP_I) ((plus_plus_nat M) J)))) of role axiom named fact_171_trans__le__add2
% 0.87/1.05 A new axiom: (forall (_TPTP_I:nat) (J:nat) (M:nat), (((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat _TPTP_I) ((plus_plus_nat M) J))))
% 0.87/1.05 FOF formula (forall (_TPTP_I:nat) (J:nat) (M:nat), (((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat _TPTP_I) ((plus_plus_nat J) M)))) of role axiom named fact_172_trans__le__add1
% 0.87/1.06 A new axiom: (forall (_TPTP_I:nat) (J:nat) (M:nat), (((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat _TPTP_I) ((plus_plus_nat J) M))))
% 0.87/1.06 FOF formula (forall (_TPTP_I:nat) (J:nat) (K:nat), (((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat ((plus_plus_nat _TPTP_I) K)) ((plus_plus_nat J) K)))) of role axiom named fact_173_add__le__mono1
% 0.87/1.06 A new axiom: (forall (_TPTP_I:nat) (J:nat) (K:nat), (((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat ((plus_plus_nat _TPTP_I) K)) ((plus_plus_nat J) K))))
% 0.87/1.06 FOF formula (forall (_TPTP_I:nat) (J:nat) (K:nat) (L2:nat), (((ord_less_eq_nat _TPTP_I) J)->(((ord_less_eq_nat K) L2)->((ord_less_eq_nat ((plus_plus_nat _TPTP_I) K)) ((plus_plus_nat J) L2))))) of role axiom named fact_174_add__le__mono
% 0.87/1.06 A new axiom: (forall (_TPTP_I:nat) (J:nat) (K:nat) (L2:nat), (((ord_less_eq_nat _TPTP_I) J)->(((ord_less_eq_nat K) L2)->((ord_less_eq_nat ((plus_plus_nat _TPTP_I) K)) ((plus_plus_nat J) L2)))))
% 0.87/1.06 FOF formula (forall (K:nat) (L2:nat), (((ord_less_eq_nat K) L2)->((ex nat) (fun (N3:nat)=> (((eq nat) L2) ((plus_plus_nat K) N3)))))) of role axiom named fact_175_le__Suc__ex
% 0.87/1.06 A new axiom: (forall (K:nat) (L2:nat), (((ord_less_eq_nat K) L2)->((ex nat) (fun (N3:nat)=> (((eq nat) L2) ((plus_plus_nat K) N3))))))
% 0.87/1.06 FOF formula (forall (M:nat) (K:nat) (N:nat), (((ord_less_eq_nat ((plus_plus_nat M) K)) N)->((ord_less_eq_nat K) N))) of role axiom named fact_176_add__leD2
% 0.87/1.06 A new axiom: (forall (M:nat) (K:nat) (N:nat), (((ord_less_eq_nat ((plus_plus_nat M) K)) N)->((ord_less_eq_nat K) N)))
% 0.87/1.06 FOF formula (forall (M:nat) (K:nat) (N:nat), (((ord_less_eq_nat ((plus_plus_nat M) K)) N)->((ord_less_eq_nat M) N))) of role axiom named fact_177_add__leD1
% 0.87/1.06 A new axiom: (forall (M:nat) (K:nat) (N:nat), (((ord_less_eq_nat ((plus_plus_nat M) K)) N)->((ord_less_eq_nat M) N)))
% 0.87/1.06 FOF formula (forall (N:nat) (M:nat), ((ord_less_eq_nat N) ((plus_plus_nat M) N))) of role axiom named fact_178_le__add2
% 0.87/1.06 A new axiom: (forall (N:nat) (M:nat), ((ord_less_eq_nat N) ((plus_plus_nat M) N)))
% 0.87/1.06 FOF formula (forall (N:nat) (M:nat), ((ord_less_eq_nat N) ((plus_plus_nat N) M))) of role axiom named fact_179_le__add1
% 0.87/1.06 A new axiom: (forall (N:nat) (M:nat), ((ord_less_eq_nat N) ((plus_plus_nat N) M)))
% 0.87/1.06 FOF formula (forall (M:nat) (K:nat) (N:nat), (((ord_less_eq_nat ((plus_plus_nat M) K)) N)->((((ord_less_eq_nat M) N)->(((ord_less_eq_nat K) N)->False))->False))) of role axiom named fact_180_add__leE
% 0.87/1.06 A new axiom: (forall (M:nat) (K:nat) (N:nat), (((ord_less_eq_nat ((plus_plus_nat M) K)) N)->((((ord_less_eq_nat M) N)->(((ord_less_eq_nat K) N)->False))->False)))
% 0.87/1.06 FOF formula (forall (_TPTP_I:nat) (J:nat) (K:nat), (((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat ((times_times_nat K) _TPTP_I)) ((times_times_nat K) J)))) of role axiom named fact_181_mult__le__mono2
% 0.87/1.06 A new axiom: (forall (_TPTP_I:nat) (J:nat) (K:nat), (((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat ((times_times_nat K) _TPTP_I)) ((times_times_nat K) J))))
% 0.87/1.06 FOF formula (forall (_TPTP_I:nat) (J:nat) (K:nat), (((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat ((times_times_nat _TPTP_I) K)) ((times_times_nat J) K)))) of role axiom named fact_182_mult__le__mono1
% 0.87/1.06 A new axiom: (forall (_TPTP_I:nat) (J:nat) (K:nat), (((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat ((times_times_nat _TPTP_I) K)) ((times_times_nat J) K))))
% 0.87/1.06 FOF formula (forall (_TPTP_I:nat) (J:nat) (K:nat) (L2:nat), (((ord_less_eq_nat _TPTP_I) J)->(((ord_less_eq_nat K) L2)->((ord_less_eq_nat ((times_times_nat _TPTP_I) K)) ((times_times_nat J) L2))))) of role axiom named fact_183_mult__le__mono
% 0.87/1.06 A new axiom: (forall (_TPTP_I:nat) (J:nat) (K:nat) (L2:nat), (((ord_less_eq_nat _TPTP_I) J)->(((ord_less_eq_nat K) L2)->((ord_less_eq_nat ((times_times_nat _TPTP_I) K)) ((times_times_nat J) L2)))))
% 0.87/1.06 FOF formula (forall (M:nat), ((ord_less_eq_nat M) ((times_times_nat M) M))) of role axiom named fact_184_le__square
% 0.87/1.06 A new axiom: (forall (M:nat), ((ord_less_eq_nat M) ((times_times_nat M) M)))
% 0.87/1.06 FOF formula (forall (M:nat), ((ord_less_eq_nat M) ((times_times_nat M) ((times_times_nat M) M)))) of role axiom named fact_185_le__cube
% 0.87/1.07 A new axiom: (forall (M:nat), ((ord_less_eq_nat M) ((times_times_nat M) ((times_times_nat M) M))))
% 0.87/1.07 FOF formula (forall (K:nat) (M:nat) (N:nat), (((eq nat) ((times_times_nat K) ((plus_plus_nat M) N))) ((plus_plus_nat ((times_times_nat K) M)) ((times_times_nat K) N)))) of role axiom named fact_186_add__mult__distrib2
% 0.87/1.07 A new axiom: (forall (K:nat) (M:nat) (N:nat), (((eq nat) ((times_times_nat K) ((plus_plus_nat M) N))) ((plus_plus_nat ((times_times_nat K) M)) ((times_times_nat K) N))))
% 0.87/1.07 FOF formula (forall (M:nat) (N:nat) (K:nat), (((eq nat) ((times_times_nat ((plus_plus_nat M) N)) K)) ((plus_plus_nat ((times_times_nat M) K)) ((times_times_nat N) K)))) of role axiom named fact_187_add__mult__distrib
% 0.87/1.07 A new axiom: (forall (M:nat) (N:nat) (K:nat), (((eq nat) ((times_times_nat ((plus_plus_nat M) N)) K)) ((plus_plus_nat ((times_times_nat M) K)) ((times_times_nat N) K))))
% 0.87/1.07 FOF formula (forall (N:nat), (((eq nat) ((times_times_nat N) one_one_nat)) N)) of role axiom named fact_188_nat__mult__1__right
% 0.87/1.07 A new axiom: (forall (N:nat), (((eq nat) ((times_times_nat N) one_one_nat)) N))
% 0.87/1.07 FOF formula (forall (N:nat), (((eq nat) ((times_times_nat one_one_nat) N)) N)) of role axiom named fact_189_nat__mult__1
% 0.87/1.07 A new axiom: (forall (N:nat), (((eq nat) ((times_times_nat one_one_nat) N)) N))
% 0.87/1.07 FOF formula (forall (N:num), ((ord_less_eq_real one_one_real) (numeral_numeral_real N))) of role axiom named fact_190_one__le__numeral
% 0.87/1.07 A new axiom: (forall (N:num), ((ord_less_eq_real one_one_real) (numeral_numeral_real N)))
% 0.87/1.07 FOF formula (forall (N:num), ((ord_less_eq_rat one_one_rat) (numeral_numeral_rat N))) of role axiom named fact_191_one__le__numeral
% 0.87/1.07 A new axiom: (forall (N:num), ((ord_less_eq_rat one_one_rat) (numeral_numeral_rat N)))
% 0.87/1.07 FOF formula (forall (N:num), ((ord_less_eq_nat one_one_nat) (numeral_numeral_nat N))) of role axiom named fact_192_one__le__numeral
% 0.87/1.07 A new axiom: (forall (N:num), ((ord_less_eq_nat one_one_nat) (numeral_numeral_nat N)))
% 0.87/1.07 FOF formula (forall (N:num), ((ord_less_eq_int one_one_int) (numeral_numeral_int N))) of role axiom named fact_193_one__le__numeral
% 0.87/1.07 A new axiom: (forall (N:num), ((ord_less_eq_int one_one_int) (numeral_numeral_int N)))
% 0.87/1.07 FOF formula (forall (A:complex), (((eq complex) ((times_times_complex A) (numera6690914467698888265omplex one))) A)) of role axiom named fact_194_mult__numeral__1__right
% 0.87/1.07 A new axiom: (forall (A:complex), (((eq complex) ((times_times_complex A) (numera6690914467698888265omplex one))) A))
% 0.87/1.07 FOF formula (forall (A:real), (((eq real) ((times_times_real A) (numeral_numeral_real one))) A)) of role axiom named fact_195_mult__numeral__1__right
% 0.87/1.07 A new axiom: (forall (A:real), (((eq real) ((times_times_real A) (numeral_numeral_real one))) A))
% 0.87/1.07 FOF formula (forall (A:rat), (((eq rat) ((times_times_rat A) (numeral_numeral_rat one))) A)) of role axiom named fact_196_mult__numeral__1__right
% 0.87/1.07 A new axiom: (forall (A:rat), (((eq rat) ((times_times_rat A) (numeral_numeral_rat one))) A))
% 0.87/1.07 FOF formula (forall (A:nat), (((eq nat) ((times_times_nat A) (numeral_numeral_nat one))) A)) of role axiom named fact_197_mult__numeral__1__right
% 0.87/1.07 A new axiom: (forall (A:nat), (((eq nat) ((times_times_nat A) (numeral_numeral_nat one))) A))
% 0.87/1.07 FOF formula (forall (A:int), (((eq int) ((times_times_int A) (numeral_numeral_int one))) A)) of role axiom named fact_198_mult__numeral__1__right
% 0.87/1.07 A new axiom: (forall (A:int), (((eq int) ((times_times_int A) (numeral_numeral_int one))) A))
% 0.87/1.07 FOF formula (forall (A:complex), (((eq complex) ((times_times_complex (numera6690914467698888265omplex one)) A)) A)) of role axiom named fact_199_mult__numeral__1
% 0.87/1.07 A new axiom: (forall (A:complex), (((eq complex) ((times_times_complex (numera6690914467698888265omplex one)) A)) A))
% 0.87/1.07 FOF formula (forall (A:real), (((eq real) ((times_times_real (numeral_numeral_real one)) A)) A)) of role axiom named fact_200_mult__numeral__1
% 0.87/1.07 A new axiom: (forall (A:real), (((eq real) ((times_times_real (numeral_numeral_real one)) A)) A))
% 0.87/1.07 FOF formula (forall (A:rat), (((eq rat) ((times_times_rat (numeral_numeral_rat one)) A)) A)) of role axiom named fact_201_mult__numeral__1
% 0.87/1.08 A new axiom: (forall (A:rat), (((eq rat) ((times_times_rat (numeral_numeral_rat one)) A)) A))
% 0.87/1.08 FOF formula (forall (A:nat), (((eq nat) ((times_times_nat (numeral_numeral_nat one)) A)) A)) of role axiom named fact_202_mult__numeral__1
% 0.87/1.08 A new axiom: (forall (A:nat), (((eq nat) ((times_times_nat (numeral_numeral_nat one)) A)) A))
% 0.87/1.08 FOF formula (forall (A:int), (((eq int) ((times_times_int (numeral_numeral_int one)) A)) A)) of role axiom named fact_203_mult__numeral__1
% 0.87/1.08 A new axiom: (forall (A:int), (((eq int) ((times_times_int (numeral_numeral_int one)) A)) A))
% 0.87/1.08 FOF formula (forall (N:num), (((eq complex) (numera6690914467698888265omplex (bit0 N))) ((plus_plus_complex (numera6690914467698888265omplex N)) (numera6690914467698888265omplex N)))) of role axiom named fact_204_numeral__Bit0
% 0.87/1.08 A new axiom: (forall (N:num), (((eq complex) (numera6690914467698888265omplex (bit0 N))) ((plus_plus_complex (numera6690914467698888265omplex N)) (numera6690914467698888265omplex N))))
% 0.87/1.08 FOF formula (forall (N:num), (((eq real) (numeral_numeral_real (bit0 N))) ((plus_plus_real (numeral_numeral_real N)) (numeral_numeral_real N)))) of role axiom named fact_205_numeral__Bit0
% 0.87/1.08 A new axiom: (forall (N:num), (((eq real) (numeral_numeral_real (bit0 N))) ((plus_plus_real (numeral_numeral_real N)) (numeral_numeral_real N))))
% 0.87/1.08 FOF formula (forall (N:num), (((eq rat) (numeral_numeral_rat (bit0 N))) ((plus_plus_rat (numeral_numeral_rat N)) (numeral_numeral_rat N)))) of role axiom named fact_206_numeral__Bit0
% 0.87/1.08 A new axiom: (forall (N:num), (((eq rat) (numeral_numeral_rat (bit0 N))) ((plus_plus_rat (numeral_numeral_rat N)) (numeral_numeral_rat N))))
% 0.87/1.08 FOF formula (forall (N:num), (((eq nat) (numeral_numeral_nat (bit0 N))) ((plus_plus_nat (numeral_numeral_nat N)) (numeral_numeral_nat N)))) of role axiom named fact_207_numeral__Bit0
% 0.87/1.08 A new axiom: (forall (N:num), (((eq nat) (numeral_numeral_nat (bit0 N))) ((plus_plus_nat (numeral_numeral_nat N)) (numeral_numeral_nat N))))
% 0.87/1.08 FOF formula (forall (N:num), (((eq int) (numeral_numeral_int (bit0 N))) ((plus_plus_int (numeral_numeral_int N)) (numeral_numeral_int N)))) of role axiom named fact_208_numeral__Bit0
% 0.87/1.08 A new axiom: (forall (N:num), (((eq int) (numeral_numeral_int (bit0 N))) ((plus_plus_int (numeral_numeral_int N)) (numeral_numeral_int N))))
% 0.87/1.08 FOF formula (forall (X2:num), (((eq complex) ((plus_plus_complex one_one_complex) (numera6690914467698888265omplex X2))) ((plus_plus_complex (numera6690914467698888265omplex X2)) one_one_complex))) of role axiom named fact_209_one__plus__numeral__commute
% 0.87/1.08 A new axiom: (forall (X2:num), (((eq complex) ((plus_plus_complex one_one_complex) (numera6690914467698888265omplex X2))) ((plus_plus_complex (numera6690914467698888265omplex X2)) one_one_complex)))
% 0.87/1.08 FOF formula (forall (X2:num), (((eq real) ((plus_plus_real one_one_real) (numeral_numeral_real X2))) ((plus_plus_real (numeral_numeral_real X2)) one_one_real))) of role axiom named fact_210_one__plus__numeral__commute
% 0.87/1.08 A new axiom: (forall (X2:num), (((eq real) ((plus_plus_real one_one_real) (numeral_numeral_real X2))) ((plus_plus_real (numeral_numeral_real X2)) one_one_real)))
% 0.87/1.08 FOF formula (forall (X2:num), (((eq rat) ((plus_plus_rat one_one_rat) (numeral_numeral_rat X2))) ((plus_plus_rat (numeral_numeral_rat X2)) one_one_rat))) of role axiom named fact_211_one__plus__numeral__commute
% 0.87/1.08 A new axiom: (forall (X2:num), (((eq rat) ((plus_plus_rat one_one_rat) (numeral_numeral_rat X2))) ((plus_plus_rat (numeral_numeral_rat X2)) one_one_rat)))
% 0.87/1.08 FOF formula (forall (X2:num), (((eq nat) ((plus_plus_nat one_one_nat) (numeral_numeral_nat X2))) ((plus_plus_nat (numeral_numeral_nat X2)) one_one_nat))) of role axiom named fact_212_one__plus__numeral__commute
% 0.87/1.08 A new axiom: (forall (X2:num), (((eq nat) ((plus_plus_nat one_one_nat) (numeral_numeral_nat X2))) ((plus_plus_nat (numeral_numeral_nat X2)) one_one_nat)))
% 0.87/1.08 FOF formula (forall (X2:num), (((eq int) ((plus_plus_int one_one_int) (numeral_numeral_int X2))) ((plus_plus_int (numeral_numeral_int X2)) one_one_int))) of role axiom named fact_213_one__plus__numeral__commute
% 0.90/1.08 A new axiom: (forall (X2:num), (((eq int) ((plus_plus_int one_one_int) (numeral_numeral_int X2))) ((plus_plus_int (numeral_numeral_int X2)) one_one_int)))
% 0.90/1.08 FOF formula (((eq complex) (numera6690914467698888265omplex one)) one_one_complex) of role axiom named fact_214_numeral__One
% 0.90/1.08 A new axiom: (((eq complex) (numera6690914467698888265omplex one)) one_one_complex)
% 0.90/1.08 FOF formula (((eq real) (numeral_numeral_real one)) one_one_real) of role axiom named fact_215_numeral__One
% 0.90/1.08 A new axiom: (((eq real) (numeral_numeral_real one)) one_one_real)
% 0.90/1.08 FOF formula (((eq rat) (numeral_numeral_rat one)) one_one_rat) of role axiom named fact_216_numeral__One
% 0.90/1.08 A new axiom: (((eq rat) (numeral_numeral_rat one)) one_one_rat)
% 0.90/1.08 FOF formula (((eq nat) (numeral_numeral_nat one)) one_one_nat) of role axiom named fact_217_numeral__One
% 0.90/1.08 A new axiom: (((eq nat) (numeral_numeral_nat one)) one_one_nat)
% 0.90/1.08 FOF formula (((eq int) (numeral_numeral_int one)) one_one_int) of role axiom named fact_218_numeral__One
% 0.90/1.08 A new axiom: (((eq int) (numeral_numeral_int one)) one_one_int)
% 0.90/1.08 <<<e )
% 0.90/1.08 => ( ! [X22: num] :
% 0.90/1.08 ( Y2
% 0.90/1.08 != ( bit0 @ X22 ) )
% 0.90/1.08 => ~ !>>>!!!<<< [X32: num] :
% 0.90/1.08 ( Y2
% 0.90/1.08 != ( bit1 @ X32 ) ) ) ) ).
% 0.90/1.08
% 0.90/1.08 % num.exhaust
% 0.90/1.08 th>>>
% 0.90/1.08 statestack=[0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 22, 30, 36, 43, 50, 113, 185, 229, 265, 285, 300, 221, 120, 187, 221, 120, 187, 124]
% 0.90/1.08 symstack=[$end, TPTP_file_pre, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, 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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',1,190445), LexToken(LPAR,'(',1,190448), name, LexToken(COMMA,',',1,190470), formula_role, LexToken(COMMA,',',1,190476), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,190484), thf_variable_list, LexToken(RBRACKET,']',1,190492), LexToken(COLON,':',1,190494), LexToken(LPAR,'(',1,190502), thf_unitary_formula, thf_pair_connective, LexToken(LPAR,'(',1,190526), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.90/1.08 Unexpected exception Syntax error at '!':BANG
% 0.90/1.08 Traceback (most recent call last):
% 0.90/1.08 File "CASC.py", line 79, in <module>
% 0.90/1.08 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.90/1.08 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.90/1.08 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.90/1.08 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.90/1.08 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.90/1.08 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.90/1.08 tok = self.errorfunc(errtoken)
% 0.90/1.08 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.90/1.08 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.90/1.08 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------