TSTP Solution File: ITP236^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP236^3 : 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 17:47:41 EDT 2022
% Result : Unknown 0.76s 0.96s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP236^3 : TPTP v7.6.0. Released v7.6.0.
% 0.07/0.14 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 Computer : n016.cluster.edu
% 0.12/0.35 Model : x86_64 x86_64
% 0.12/0.35 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 RAMPerCPU : 8042.1875MB
% 0.12/0.35 OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % DateTime : Fri Mar 18 11:38:25 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.12/0.36 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.36 Python 2.7.5
% 0.44/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
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% 0.44/0.62 Using role type
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% 0.44/0.62 Using role type
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% 0.44/0.62 FOF formula (<kernel.Constant object at 0x2b9a712544d0>, <kernel.Type object at 0x2b9a69783fc8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J
% 0.44/0.62 Using role type
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% 0.44/0.62 FOF formula (<kernel.Constant object at 0x2b9a712544d0>, <kernel.Type object at 0x2b9a69783ef0>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.44/0.62 Using role type
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% 0.44/0.62 FOF formula (<kernel.Constant object at 0x2b9a712543f8>, <kernel.Type object at 0x2b9a69783e60>) of role type named ty_n_t__List__Olist_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_J
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% 0.44/0.62 Using role type
% 0.44/0.62 Declaring set_Pr7604974323444597168e_term:Type
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x2b9a69783d88>, <kernel.Type object at 0x2b9a69783ea8>) of role type named ty_n_t__List__Olist_I_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_J
% 0.44/0.62 Using role type
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% 0.44/0.62 Declaring set_Pr3642885161833720865e_term:Type
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% 0.44/0.63 Declaring produc6121120109295599847at_nat:Type
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% 0.44/0.63 Declaring produc7036089656553540234on_num:Type
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% 0.44/0.63 Using role type
% 0.44/0.63 Declaring produc3843707927480180839at_nat:Type
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% 0.46/0.63 Declaring list_P8469869581646625389at_nat:Type
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% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_C878401137130745250e_term:Type
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% 0.46/0.63 Declaring set_Pr8693737435421807431at_nat:Type
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% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_Co9149898834107579976e_term:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b9a69783368>, <kernel.Type object at 0x2b9a69783488>) of role type named ty_n_t__List__Olist_I_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_J
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% 0.46/0.63 Declaring set_Pr1916528119006554503T_VEBT:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b9a69783248>, <kernel.Type object at 0x2b9a69783368>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc859450856879609959at_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b9a697831b8>, <kernel.Type object at 0x2b9a697832d8>) of role type named ty_n_t__Set__Oset_I_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_in3461395444621081367e_term:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b9a69783128>, <kernel.Type object at 0x2b9a71239248>) of role type named ty_n_t__Product____Type__Oprod_It__List__Olist_It__VEBT____Definitions__OVEBT_J_Mt__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc9211091688327510695T_VEBT:Type
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% 0.46/0.63 Declaring produc6241069584506657477e_term:Type
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% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_fi4554929511873752355omplex:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b9a71239248>, <kernel.Type object at 0x2b9a71232ef0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__List__Olist_It__Nat__Onat_J_Mt__List__Olist_It__Nat__Onat_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_Pr3451248702717554689st_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b9a71239248>, <kernel.Type object at 0x2b9a712327a0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__List__Olist_It__Int__Oint_J_Mt__List__Olist_It__Int__Oint_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_Pr765067013931698361st_int:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b9a71239638>, <kernel.Type object at 0x1e79f80>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P7413028617227757229T_VEBT:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b9a712327a0>, <kernel.Type object at 0x1e79e18>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc8551481072490612790e_term:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b9a712327a0>, <kernel.Type object at 0x1e79ea8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_Pr6192946355708809607T_VEBT:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b9a71232ab8>, <kernel.Type object at 0x2b9a71239248>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Set__Oset_It__Nat__Onat_J_Mt__Set__Oset_It__Nat__Onat_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P6254988961118846195et_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e79d88>, <kernel.Type object at 0x1e82f38>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P5578671422887162913nteger:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e79d88>, <kernel.Type object at 0x1e82a28>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Nat__Onat_J_Mt__Set__Oset_It__Nat__Onat_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_Pr5488025237498180813et_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e79cf8>, <kernel.Type object at 0x2b9a69781200>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_Pr4811707699266497531nteger:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e82a28>, <kernel.Type object at 0x2b9a69781248>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring option6357759511663192854e_term:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e82a28>, <kernel.Type object at 0x2b9a69781170>) 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
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc3447558737645232053on_num:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e827a0>, <kernel.Type object at 0x2b9a697810e0>) 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
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc4953844613479565601on_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b9a69781050>, <kernel.Type object at 0x2b9a69781098>) 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
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_fi7789364187291644575l_real:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b9a69781320>, <kernel.Type object at 0x2b9a69781128>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring filter6041513312241820739omplex:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b9a697812d8>, <kernel.Type object at 0x2b9a69781050>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Real__Oreal_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P2623026923184700063T_real:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b9a697813b0>, <kernel.Type object at 0x2b9a69781440>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Real__Oreal_Mt__VEBT____Definitions__OVEBT_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P877281246627933069T_VEBT:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b9a697812d8>, <kernel.Type object at 0x2b9a69781320>) of role type named ty_n_t__Product____Type__Oprod_It__List__Olist_It__Nat__Onat_J_Mt__List__Olist_It__Nat__Onat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc1828647624359046049st_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a697814d0>, <kernel.Type object at 0x2b9a697813b0>) of role type named ty_n_t__Product____Type__Oprod_It__List__Olist_It__Int__Oint_J_Mt__List__Olist_It__Int__Oint_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc1186641810826059865st_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a69781560>, <kernel.Type object at 0x2b9a697812d8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Real__Oreal_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Pr7765410600122031685T_real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a697815f0>, <kernel.Type object at 0x2b9a697814d0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Real__Oreal_Mt__VEBT____Definitions__OVEBT_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Pr6019664923565264691T_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a69781680>, <kernel.Type object at 0x2b9a69781560>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P7037539587688870467BT_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a69781710>, <kernel.Type object at 0x2b9a697815f0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P4547456442757143711BT_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a697817a0>, <kernel.Type object at 0x2b9a69781680>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P5647936690300460905T_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a69781830>, <kernel.Type object at 0x2b9a69781710>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__VEBT____Definitions__OVEBT_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P7524865323317820941T_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a697818c0>, <kernel.Type object at 0x2b9a697817a0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__List__Olist_I_Eo_J_Mt__List__Olist_I_Eo_J_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Pr6227168374412355847list_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a69781950>, <kernel.Type object at 0x2b9a69781830>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_li5450038453877631591at_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a697819e0>, <kernel.Type object at 0x2b9a697818c0>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc8243902056947475879T_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a69781a70>, <kernel.Type object at 0x2b9a69781950>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Pr7556676689462069481BT_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a69781b00>, <kernel.Type object at 0x2b9a697819e0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Pr5066593544530342725BT_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a69781b90>, <kernel.Type object at 0x2b9a69781a70>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__VEBT____Definitions__OVEBT_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Pr8044002425091019955T_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a69781c20>, <kernel.Type object at 0x2b9a69781b00>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_se7855581050983116737at_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a69781cb0>, <kernel.Type object at 0x2b9a69781b90>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Pr5085853215250843933omplex:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a69781d40>, <kernel.Type object at 0x2b9a69781c20>) of role type named ty_n_t__Product____Type__Oprod_It__Set__Oset_It__Nat__Onat_J_Mt__Set__Oset_It__Nat__Onat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc7819656566062154093et_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a69781dd0>, <kernel.Type object at 0x2b9a69781cb0>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc8923325533196201883nteger:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a69781e60>, <kernel.Type object at 0x2b9a69781d40>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P3126845725202233233VEBT_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a69781ef0>, <kernel.Type object at 0x2b9a69781dd0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P7495141550334521929T_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a69781f80>, <kernel.Type object at 0x1e68050>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring filter2146258269922977983l_real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a69781f80>, <kernel.Type object at 0x1e680e0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Pr3175402225741728619VEBT_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b9a69781ef0>, <kernel.Type object at 0x1e68128>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Pr7543698050874017315T_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e681b8>, <kernel.Type object at 0x1e68200>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring option4927543243414619207at_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68290>, <kernel.Type object at 0x1e68170>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P8689742595348180415l_real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68248>, <kernel.Type object at 0x1e681b8>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring filter1242075044329608583at_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68320>, <kernel.Type object at 0x1e683b0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Pr6218003697084177305l_real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68248>, <kernel.Type object at 0x1e68290>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Real__Oreal_Mt__Nat__Onat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P6834414599653733731al_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68440>, <kernel.Type object at 0x1e68320>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Real__Oreal_Mt__Int__Oint_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P4344331454722006975al_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e684d0>, <kernel.Type object at 0x1e68248>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__Real__Oreal_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P6863124054624500543t_real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68560>, <kernel.Type object at 0x1e68440>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Real__Oreal_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc5170161368751668367T_real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e685f0>, <kernel.Type object at 0x1e684d0>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__VEBT____Definitions__OVEBT_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc3757001726724277373T_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68680>, <kernel.Type object at 0x1e68560>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Real__Oreal_Mt__Nat__Onat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Pr3510011417693777981al_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68710>, <kernel.Type object at 0x1e685f0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Real__Oreal_Mt__Int__Oint_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Pr1019928272762051225al_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e687a0>, <kernel.Type object at 0x1e68680>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Real__Oreal_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Pr3538720872664544793t_real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68830>, <kernel.Type object at 0x1e68710>) of role type named ty_n_t__Product____Type__Oprod_It__List__Olist_I_Eo_J_Mt__List__Olist_I_Eo_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc7102631898165422375list_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e688c0>, <kernel.Type object at 0x1e687a0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P6011104703257516679at_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68950>, <kernel.Type object at 0x1e68830>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P3521021558325789923at_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e689e0>, <kernel.Type object at 0x1e688c0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P5707943133018811711nt_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68a70>, <kernel.Type object at 0x1e68950>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc9072475918466114483BT_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68b00>, <kernel.Type object at 0x1e689e0>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc4894624898956917775BT_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68b90>, <kernel.Type object at 0x1e68a70>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc8025551001238799321T_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68c20>, <kernel.Type object at 0x1e68b00>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__VEBT____Definitions__OVEBT_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc1531783533982839933T_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68cb0>, <kernel.Type object at 0x1e68b90>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Pr1261947904930325089at_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68d40>, <kernel.Type object at 0x1e68c20>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Pr958786334691620121nt_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68dd0>, <kernel.Type object at 0x1e68cb0>) of role type named ty_n_t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc4411394909380815293omplex:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68e60>, <kernel.Type object at 0x1e68d40>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Real__Oreal_M_Eo_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P3595434254542482545real_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68ef0>, <kernel.Type object at 0x1e68dd0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Real__Oreal_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P5232166724548748803o_real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1e68f80>, <kernel.Type object at 0x1e6a050>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Real__Oreal_M_Eo_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_Pr4936984352647145239real_o:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e68f80>, <kernel.Type object at 0x1e6a0e0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_I_Eo_Mt__Real__Oreal_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_Pr6573716822653411497o_real:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e68ef0>, <kernel.Type object at 0x1e6a128>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring list_P7333126701944960589_nat_o:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a1b8>, <kernel.Type object at 0x1e6a200>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring list_P6285523579766656935_o_nat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a290>, <kernel.Type object at 0x1e6a170>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring list_P3795440434834930179_o_int:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e68e60>, <kernel.Type object at 0x1e6a200>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_list_VEBT_VEBT:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a320>, <kernel.Type object at 0x1e6a248>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring produc334124729049499915VEBT_o:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a3b0>, <kernel.Type object at 0x1e6a1b8>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring produc2504756804600209347T_VEBT:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a170>, <kernel.Type object at 0x1e6a320>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_Pr2101469702781467981_o_nat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a488>, <kernel.Type object at 0x1e6a3b0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_Pr8834758594704517033_o_int:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a518>, <kernel.Type object at 0x1e6a170>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring produc6271795597528267376eger_o:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a5a8>, <kernel.Type object at 0x1e6a488>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring produc2422161461964618553l_real:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a638>, <kernel.Type object at 0x1e6a518>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Nat__Onat_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring produc3741383161447143261al_nat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a6c8>, <kernel.Type object at 0x1e6a5a8>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Int__Oint_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring produc8786904178792722361al_int:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a758>, <kernel.Type object at 0x1e6a638>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Real__Oreal_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring produc679980390762269497t_real:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a6c8>, <kernel.Type object at 0x1e6a5a8>) of role type named ty_n_t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring product_prod_num_num:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a7e8>, <kernel.Type object at 0x1e6a8c0>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring product_prod_nat_num:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a758>, <kernel.Type object at 0x1e6a950>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring product_prod_nat_nat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a6c8>, <kernel.Type object at 0x1e6a998>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring product_prod_nat_int:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a7e8>, <kernel.Type object at 0x1e6a9e0>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring product_prod_int_int:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a6c8>, <kernel.Type object at 0x1e6a758>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring list_P4002435161011370285od_o_o:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a7e8>, <kernel.Type object at 0x1e6a9e0>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Complex__Ocomplex_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_list_complex:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a950>, <kernel.Type object at 0x1e6aab8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_Product_prod_o_o:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a6c8>, <kernel.Type object at 0x1e6ab48>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Complex__Ocomplex_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_set_complex:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a7e8>, <kernel.Type object at 0x1e6ab90>) of role type named ty_n_t__Option__Ooption_It__VEBT____Definitions__OVEBT_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring option_VEBT_VEBT:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a950>, <kernel.Type object at 0x1e6abd8>) of role type named ty_n_t__Option__Ooption_It__Set__Oset_It__Nat__Onat_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring option_set_nat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a6c8>, <kernel.Type object at 0x1e6ac20>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_M_Eo_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring product_prod_real_o:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a7e8>, <kernel.Type object at 0x1e6ac68>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Real__Oreal_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring product_prod_o_real:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a950>, <kernel.Type object at 0x1e6acb0>) of role type named ty_n_t__List__Olist_It__List__Olist_It__Nat__Onat_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring list_list_nat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a6c8>, <kernel.Type object at 0x1e6acf8>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring list_VEBT_VEBT:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a7e8>, <kernel.Type object at 0x1e6ad40>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_list_nat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a950>, <kernel.Type object at 0x1e6ad88>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Int__Oint_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_list_int:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a6c8>, <kernel.Type object at 0x1e6add0>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring product_prod_nat_o:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a7e8>, <kernel.Type object at 0x1e6ae18>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring product_prod_o_nat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a950>, <kernel.Type object at 0x1e6ae60>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring product_prod_o_int:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a6c8>, <kernel.Type object at 0x1e6aea8>) of role type named ty_n_t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring list_set_nat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a7e8>, <kernel.Type object at 0x1e6aef0>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_VEBT_VEBT:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1e6a950>, <kernel.Type object at 0x1e6af38>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_set_nat:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6a6c8>, <kernel.Type object at 0x1e6af80>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_set_int:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6a7e8>, <kernel.Type object at 0x1e6af38>) of role type named ty_n_t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_Code_integer:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6af80>, <kernel.Type object at 0x1e6e098>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring list_complex:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6af38>, <kernel.Type object at 0x1e6e098>) of role type named ty_n_t__Set__Oset_It__List__Olist_I_Eo_J_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_list_o:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6afc8>, <kernel.Type object at 0x1e6e050>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring product_prod_o_o:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6a7e8>, <kernel.Type object at 0x1e6e128>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_complex:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6af38>, <kernel.Type object at 0x1e6e170>) of role type named ty_n_t__Option__Ooption_It__Real__Oreal_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring option_real:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6a7e8>, <kernel.Type object at 0x1e6e1b8>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring filter_real:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6afc8>, <kernel.Type object at 0x1e6e200>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring option_num:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6afc8>, <kernel.Type object at 0x1e6e248>) of role type named ty_n_t__Option__Ooption_It__Nat__Onat_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring option_nat:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e0e0>, <kernel.Type object at 0x1e6e290>) of role type named ty_n_t__Option__Ooption_It__Int__Oint_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring option_int:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e098>, <kernel.Type object at 0x1e6e2d8>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring filter_nat:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e050>, <kernel.Type object at 0x1e6e320>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring list_real:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e128>, <kernel.Type object at 0x1e6e2d8>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_real:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e0e0>, <kernel.Type object at 0x1e6e3b0>) of role type named ty_n_t__List__Olist_It__Num__Onum_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring list_num:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e050>, <kernel.Type object at 0x1e6e440>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring list_nat:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e290>, <kernel.Type object at 0x1e6e488>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring list_int:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e128>, <kernel.Type object at 0x1e6e4d0>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring vEBT_VEBT:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e0e0>, <kernel.Type object at 0x1e6e518>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_rat:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e050>, <kernel.Type object at 0x1e6e560>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_num:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e290>, <kernel.Type object at 0x1e6e5a8>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_nat:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e128>, <kernel.Type object at 0x1e6e5f0>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_int:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e0e0>, <kernel.Type object at 0x1e6e638>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_integer:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e050>, <kernel.Type object at 0x1e6e680>) of role type named ty_n_t__Option__Ooption_I_Eo_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring option_o:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e290>, <kernel.Type object at 0x1e6e6c8>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring extended_enat:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e0e0>, <kernel.Type object at 0x1e6e638>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring list_o:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e098>, <kernel.Type object at 0x1e6e758>) of role type named ty_n_t__Complex__Ocomplex
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring complex:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e050>, <kernel.Type object at 0x1e6e680>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_o:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e0e0>, <kernel.Type object at 0x1e6e7a0>) of role type named ty_n_t__Real__Oreal
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring real:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e098>, <kernel.Type object at 0x1e6e7e8>) of role type named ty_n_t__Rat__Orat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring rat:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e050>, <kernel.Type object at 0x1e6e830>) of role type named ty_n_t__Num__Onum
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring num:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e0e0>, <kernel.Type object at 0x1e6e878>) of role type named ty_n_t__Nat__Onat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring nat:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e098>, <kernel.Type object at 0x1e6e8c0>) of role type named ty_n_t__Int__Oint
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring int:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e098>, <kernel.DependentProduct object at 0x1e6ea70>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Rat__Orat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring archim2889992004027027881ng_rat:(rat->int)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e908>, <kernel.DependentProduct object at 0x1e6eb00>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring archim7802044766580827645g_real:(real->int)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6ea70>, <kernel.DependentProduct object at 0x1e6eb90>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring archim3151403230148437115or_rat:(rat->int)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6eb00>, <kernel.DependentProduct object at 0x1e6ec20>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring archim6058952711729229775r_real:(real->int)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6e128>, <kernel.DependentProduct object at 0x1e6ecb0>) of role type named sy_c_Archimedean__Field_Ofrac_001t__Rat__Orat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring archimedean_frac_rat:(rat->rat)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6eb00>, <kernel.DependentProduct object at 0x1e6ecf8>) of role type named sy_c_Archimedean__Field_Ofrac_001t__Real__Oreal
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring archim2898591450579166408c_real:(real->real)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6ecb0>, <kernel.DependentProduct object at 0x1e6ed88>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6ecf8>, <kernel.DependentProduct object at 0x1e6ee18>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring archim8280529875227126926d_real:(real->int)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e6ed88>, <kernel.Constant object at 0x1e6eb48>) of role type named sy_c_BNF__Cardinal__Order__Relation_OnatLeq
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bNF_Ca8665028551170535155natLeq:set_Pr1261947904930325089at_nat
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e6ee18>, <kernel.Constant object at 0x1e6ecb0>) of role type named sy_c_BNF__Cardinal__Order__Relation_OnatLess
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bNF_Ca8459412986667044542atLess:set_Pr1261947904930325089at_nat
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e6eea8>, <kernel.DependentProduct object at 0x1e6eb48>) of role type named sy_c_Binomial_Obinomial
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring binomial:(nat->(nat->nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e6efc8>, <kernel.DependentProduct object at 0x1e6ee18>) of role type named sy_c_Binomial_Ogbinomial_001t__Complex__Ocomplex
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring gbinomial_complex:(complex->(nat->complex))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e6eb48>, <kernel.DependentProduct object at 0x1e6ecb0>) of role type named sy_c_Binomial_Ogbinomial_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring gbinomial_int:(int->(nat->int))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e6ee18>, <kernel.DependentProduct object at 0x1e6ef38>) of role type named sy_c_Binomial_Ogbinomial_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring gbinomial_nat:(nat->(nat->nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e6ecb0>, <kernel.DependentProduct object at 0x1e6eef0>) of role type named sy_c_Binomial_Ogbinomial_001t__Rat__Orat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring gbinomial_rat:(rat->(nat->rat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e6eb48>, <kernel.DependentProduct object at 0x1e751b8>) of role type named sy_c_Binomial_Ogbinomial_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring gbinomial_real:(real->(nat->real))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e6ee18>, <kernel.DependentProduct object at 0x1e75050>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e6eb48>, <kernel.DependentProduct object at 0x1e751b8>) of role type named sy_c_Bit__Operations_Oand__not__num
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_and_not_num:(num->(num->option_num))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e6ee18>, <kernel.DependentProduct object at 0x1e75128>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e750e0>, <kernel.DependentProduct object at 0x1e75170>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e752d8>, <kernel.DependentProduct object at 0x1e75290>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e75248>, <kernel.DependentProduct object at 0x1e752d8>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e75290>, <kernel.DependentProduct object at 0x1e75248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e752d8>, <kernel.DependentProduct object at 0x1e75290>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e75248>, <kernel.DependentProduct object at 0x1e752d8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e75290>, <kernel.DependentProduct object at 0x1e75248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e752d8>, <kernel.DependentProduct object at 0x1e75290>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e75248>, <kernel.DependentProduct object at 0x1e752d8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e75290>, <kernel.DependentProduct object at 0x1e75248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e752d8>, <kernel.DependentProduct object at 0x1e75200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Code____Numeral__Ointeger
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_se2119862282449309892nteger:(nat->code_integer)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e75248>, <kernel.DependentProduct object at 0x1e758c0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e75200>, <kernel.DependentProduct object at 0x1e75950>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e758c0>, <kernel.DependentProduct object at 0x1e75200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e75950>, <kernel.DependentProduct object at 0x1e758c0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e75200>, <kernel.DependentProduct object at 0x1e75950>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e758c0>, <kernel.DependentProduct object at 0x1e75200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e75950>, <kernel.DependentProduct object at 0x1e758c0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e75200>, <kernel.DependentProduct object at 0x1e75950>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e758c0>, <kernel.DependentProduct object at 0x1e75200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e75950>, <kernel.DependentProduct object at 0x1e758c0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Code____Numeral__Ointeger
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bit_se1745604003318907178nteger:(nat->(code_integer->code_integer))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1e75200>, <kernel.DependentProduct object at 0x1e75950>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1e758c0>, <kernel.DependentProduct object at 0x1e75200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1e75950>, <kernel.DependentProduct object at 0x1e758c0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1e75200>, <kernel.DependentProduct object at 0x1e75950>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1e758c0>, <kernel.DependentProduct object at 0x1e75ef0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1e758c0>, <kernel.DependentProduct object at 0x2b9a6978c0e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Code____Numeral__Ointeger
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se3222712562003087583nteger:(code_integer->(code_integer->code_integer))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1e758c0>, <kernel.DependentProduct object at 0x2b9a6978c1b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1e75f80>, <kernel.DependentProduct object at 0x2b9a6978c248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c1b8>, <kernel.DependentProduct object at 0x2b9a6978c2d8>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Code____Numeral__Ointeger
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se9216721137139052372nteger:(code_integer->(nat->Prop))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c320>, <kernel.DependentProduct object at 0x2b9a6978c0e0>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c200>, <kernel.DependentProduct object at 0x2b9a6978c3b0>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c3f8>, <kernel.DependentProduct object at 0x2b9a6978c368>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c200>, <kernel.DependentProduct object at 0x2b9a6978c3f8>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_un7362597486090784418nd_num:(num->(num->option_num))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c368>, <kernel.DependentProduct object at 0x2b9a6978c200>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bit_un2480387367778600638or_num:(num->(num->option_num))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c4d0>, <kernel.DependentProduct object at 0x2b9a6978c3f8>) of role type named sy_c_Code__Numeral_Obit__cut__integer
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring code_bit_cut_integer:(code_integer->produc6271795597528267376eger_o)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c290>, <kernel.DependentProduct object at 0x2b9a6978c4d0>) of role type named sy_c_Code__Numeral_Odivmod__abs
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring code_divmod_abs:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c488>, <kernel.DependentProduct object at 0x2b9a6978c3f8>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c6c8>, <kernel.DependentProduct object at 0x2b9a6978c518>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring code_int_of_integer:(code_integer->int)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c3f8>, <kernel.DependentProduct object at 0x2b9a6978c7a0>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring code_integer_of_int:(int->code_integer)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c680>, <kernel.DependentProduct object at 0x2b9a6978c758>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring code_nat_of_integer:(code_integer->nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c3f8>, <kernel.DependentProduct object at 0x2b9a6978c680>) 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
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring comple8358262395181532106omplex:(set_fi4554929511873752355omplex->filter6041513312241820739omplex)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c758>, <kernel.DependentProduct object at 0x2b9a6978c3f8>) 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
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring comple2936214249959783750l_real:(set_fi7789364187291644575l_real->filter2146258269922977983l_real)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c6c8>, <kernel.DependentProduct object at 0x2b9a6978c908>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring complete_Inf_Inf_nat:(set_nat->nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c758>, <kernel.DependentProduct object at 0x2b9a6978c950>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring comple7806235888213564991et_nat:(set_set_nat->set_nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c518>, <kernel.DependentProduct object at 0x2b9a6978c9e0>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring complete_Sup_Sup_nat:(set_nat->nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c3f8>, <kernel.DependentProduct object at 0x2b9a6978ca28>) of role type named sy_c_Complex_OArg
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring arg:(complex->real)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c680>, <kernel.DependentProduct object at 0x2b9a6978ca70>) of role type named sy_c_Complex_Ocis
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring cis:(real->complex)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c710>, <kernel.DependentProduct object at 0x2b9a6978c680>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring complex2:(real->(real->complex))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c3f8>, <kernel.DependentProduct object at 0x2b9a6978c518>) of role type named sy_c_Conditionally__Complete__Lattices_Opreorder__class_Obdd__above_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring condit2214826472909112428ve_nat:(set_nat->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c710>, <kernel.DependentProduct object at 0x2b9a6978ca70>) of role type named sy_c_Deriv_Odifferentiable_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring differ6690327859849518006l_real:((real->real)->(filter_real->Prop))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c518>, <kernel.DependentProduct object at 0x2b9a6978ccb0>) of role type named sy_c_Deriv_Ohas__derivative_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring has_de1759254742604945161l_real:((real->real)->((real->real)->(filter_real->Prop)))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978ca70>, <kernel.DependentProduct object at 0x2b9a6978cc68>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978cbd8>, <kernel.DependentProduct object at 0x2b9a6978cd88>) of role type named sy_c_Divides_Oadjust__div
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring adjust_div:(product_prod_int_int->int)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c758>, <kernel.DependentProduct object at 0x2b9a6978ca70>) of role type named sy_c_Divides_Odivmod__nat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c950>, <kernel.DependentProduct object at 0x2b9a6978c758>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978cbd8>, <kernel.DependentProduct object at 0x2b9a6978c518>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c950>, <kernel.DependentProduct object at 0x2b9a6978ce18>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2b9a6978c518>, <kernel.DependentProduct object at 0x2b9a6978c950>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978ce18>, <kernel.DependentProduct object at 0x2b9a6978c518>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978c950>, <kernel.DependentProduct object at 0x2b9a6978cf38>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978c518>, <kernel.DependentProduct object at 0x2b9a6978e128>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring unique4921790084139445826nteger:(num->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978c518>, <kernel.DependentProduct object at 0x2b9a6978e1b8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978cbd8>, <kernel.DependentProduct object at 0x2b9a6978e200>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e1b8>, <kernel.DependentProduct object at 0x2b9a6978e290>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Code____Numeral__Ointeger
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring comm_s8582702949713902594nteger:(code_integer->(nat->code_integer))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e128>, <kernel.DependentProduct object at 0x2b9a6978e320>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Complex__Ocomplex
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring comm_s2602460028002588243omplex:(complex->(nat->complex))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e0e0>, <kernel.DependentProduct object at 0x2b9a6978e3b0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring comm_s4660882817536571857er_int:(int->(nat->int))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e170>, <kernel.DependentProduct object at 0x2b9a6978e0e0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring comm_s4663373288045622133er_nat:(nat->(nat->nat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e3b0>, <kernel.DependentProduct object at 0x2b9a6978e170>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Rat__Orat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring comm_s4028243227959126397er_rat:(rat->(nat->rat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e0e0>, <kernel.DependentProduct object at 0x2b9a6978e3b0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring comm_s7457072308508201937r_real:(real->(nat->real))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e170>, <kernel.DependentProduct object at 0x2b9a6978e1b8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Code____Numeral__Ointeger
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring semiri3624122377584611663nteger:(nat->code_integer)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e3b0>, <kernel.DependentProduct object at 0x2b9a6978e6c8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e1b8>, <kernel.DependentProduct object at 0x2b9a6978e758>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring semiri1406184849735516958ct_int:(nat->int)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e6c8>, <kernel.DependentProduct object at 0x2b9a6978e7e8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e758>, <kernel.DependentProduct object at 0x2b9a6978e878>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Rat__Orat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring semiri773545260158071498ct_rat:(nat->rat)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e7e8>, <kernel.DependentProduct object at 0x2b9a6978e908>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e128>, <kernel.DependentProduct object at 0x2b9a6978e998>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring inverse_inverse_rat:(rat->rat)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e830>, <kernel.DependentProduct object at 0x2b9a6978e9e0>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring inverse_inverse_real:(real->real)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e8c0>, <kernel.Constant object at 0x2b9a6978e9e0>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring at_bot_real:filter_real
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e998>, <kernel.Constant object at 0x2b9a6978e9e0>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring at_top_nat:filter_nat
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e878>, <kernel.Constant object at 0x2b9a6978e9e0>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring at_top_real:filter_real
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e7e8>, <kernel.DependentProduct object at 0x2b9a6978e998>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e878>, <kernel.DependentProduct object at 0x2b9a6978ea28>) of role type named sy_c_Filter_Oeventually_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring eventu1038000079068216329at_nat:((product_prod_nat_nat->Prop)->(filter1242075044329608583at_nat->Prop))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e908>, <kernel.DependentProduct object at 0x2b9a6978e998>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978ea28>, <kernel.DependentProduct object at 0x2b9a6978e9e0>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978ec68>, <kernel.DependentProduct object at 0x2b9a6978e7e8>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978ecf8>, <kernel.DependentProduct object at 0x2b9a6978ec20>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978ec68>, <kernel.DependentProduct object at 0x2b9a6978ecf8>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring princi3496590319149328850omplex:(set_Pr5085853215250843933omplex->filter6041513312241820739omplex)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978ec20>, <kernel.DependentProduct object at 0x2b9a6978ec68>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring princi6114159922880469582l_real:(set_Pr6218003697084177305l_real->filter2146258269922977983l_real)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e908>, <kernel.DependentProduct object at 0x2b9a6978ecf8>) of role type named sy_c_Filter_Oprod__filter_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring prod_filter_nat_nat:(filter_nat->(filter_nat->filter1242075044329608583at_nat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978ee60>, <kernel.DependentProduct object at 0x2b9a6978eea8>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring finite_card_complex:(set_complex->nat)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978ed88>, <kernel.DependentProduct object at 0x2b9a6978ee18>) of role type named sy_c_Finite__Set_Ocard_001t__List__Olist_It__Nat__Onat_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring finite_card_list_nat:(set_list_nat->nat)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978edd0>, <kernel.DependentProduct object at 0x2b9a6978eef0>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring finite_card_nat:(set_nat->nat)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978ecf8>, <kernel.DependentProduct object at 0x2b9a6978ef38>) of role type named sy_c_Finite__Set_Ocard_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring finite_card_set_nat:(set_set_nat->nat)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978e248>, <kernel.DependentProduct object at 0x2b9a6978ef80>) of role type named sy_c_Finite__Set_Ofinite_001_Eo
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring finite_finite_o:(set_o->Prop)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2b9a6978edd0>, <kernel.DependentProduct object at 0x2b9a6978ed88>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a6978ef38>, <kernel.DependentProduct object at 0x2b9a69791050>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring finite_finite_int:(set_int->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a6978e248>, <kernel.DependentProduct object at 0x2b9a69791098>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_I_Eo_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring finite_finite_list_o:(set_list_o->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a6978ef38>, <kernel.DependentProduct object at 0x2b9a697910e0>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Complex__Ocomplex_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring finite8712137658972009173omplex:(set_list_complex->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a6978ef38>, <kernel.DependentProduct object at 0x2b9a69791170>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Int__Oint_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring finite3922522038869484883st_int:(set_list_int->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a6978ef38>, <kernel.DependentProduct object at 0x2b9a69791200>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Nat__Onat_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring finite8100373058378681591st_nat:(set_list_nat->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a69791050>, <kernel.DependentProduct object at 0x2b9a69791290>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring finite500796754983035824at_nat:(set_li5450038453877631591at_nat->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a69791200>, <kernel.DependentProduct object at 0x2b9a69791320>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring finite3004134309566078307T_VEBT:(set_list_VEBT_VEBT->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a6978ee18>, <kernel.DependentProduct object at 0x2b9a697913b0>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring finite_finite_nat:(set_nat->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a69791290>, <kernel.DependentProduct object at 0x2b9a697913f8>) of role type named sy_c_Finite__Set_Ofinite_001t__Num__Onum
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring finite_finite_num:(set_num->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a69791200>, <kernel.DependentProduct object at 0x2b9a69791440>) of role type named sy_c_Finite__Set_Ofinite_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring finite6177210948735845034at_nat:(set_Pr1261947904930325089at_nat->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a697913f8>, <kernel.DependentProduct object at 0x2b9a697914d0>) of role type named sy_c_Finite__Set_Ofinite_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring finite4343798906461161616at_nat:(set_Pr4329608150637261639at_nat->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a69791200>, <kernel.DependentProduct object at 0x2b9a69791560>) of role type named sy_c_Finite__Set_Ofinite_001t__Rat__Orat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring finite_finite_rat:(set_rat->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a69791440>, <kernel.DependentProduct object at 0x2b9a697915a8>) of role type named sy_c_Finite__Set_Ofinite_001t__Real__Oreal
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring finite_finite_real:(set_real->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a69791200>, <kernel.DependentProduct object at 0x2b9a697915f0>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring finite6551019134538273531omplex:(set_set_complex->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a697915a8>, <kernel.DependentProduct object at 0x2b9a69791680>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Int__Oint_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring finite6197958912794628473et_int:(set_set_int->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a697915f0>, <kernel.DependentProduct object at 0x2b9a69791710>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring finite1152437895449049373et_nat:(set_set_nat->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a69791680>, <kernel.DependentProduct object at 0x2b9a697917a0>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring finite9047747110432174090at_nat:(set_se7855581050983116737at_nat->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a69791710>, <kernel.DependentProduct object at 0x2b9a69791830>) of role type named sy_c_Finite__Set_Ofinite_001t__VEBT____Definitions__OVEBT
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring finite5795047828879050333T_VEBT:(set_VEBT_VEBT->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a697917a0>, <kernel.DependentProduct object at 0x2b9a69791680>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a69791950>, <kernel.DependentProduct object at 0x2b9a697917e8>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a69791998>, <kernel.DependentProduct object at 0x2b9a69791710>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a69791950>, <kernel.DependentProduct object at 0x2b9a69791998>) 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
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring comp_C8797469213163452608nteger:(((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->(code_integer->code_integer))->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a69791710>, <kernel.DependentProduct object at 0x2b9a69791950>) 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
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring comp_C1593894019821074884nteger:((code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->code_integer)->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a69791ab8>, <kernel.DependentProduct object at 0x2b9a69791b00>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring comp_int_nat_int:((int->nat)->((int->int)->(int->nat)))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a69791680>, <kernel.DependentProduct object at 0x2b9a69791c68>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring comp_nat_nat_nat:((nat->nat)->((nat->nat)->(nat->nat)))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a697917a0>, <kernel.DependentProduct object at 0x2b9a69791b90>) of role type named sy_c_Fun_Oid_001_Eo
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring id_o:(Prop->Prop)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a69791248>, <kernel.DependentProduct object at 0x2b9a69791998>) of role type named sy_c_Fun_Oid_001t__Nat__Onat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring id_nat:(nat->nat)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2b9a697917e8>, <kernel.DependentProduct object at 0x2b9a69791998>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring inj_on_nat_nat:((nat->nat)->(set_nat->Prop))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a69791248>, <kernel.DependentProduct object at 0x2b9a69791b00>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring inj_on_real_real:((real->real)->(set_real->Prop))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a69791998>, <kernel.DependentProduct object at 0x2b9a697917a0>) of role type named sy_c_Fun_Oinj__on_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring inj_on_set_nat_nat:((set_nat->nat)->(set_set_nat->Prop))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a69791248>, <kernel.DependentProduct object at 0x2b9a69791b48>) 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
% 0.46/0.71 Using role type
% 0.46/0.71 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)))))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a697917a0>, <kernel.DependentProduct object at 0x2b9a69791b90>) 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
% 0.46/0.71 Using role type
% 0.46/0.71 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)))))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a69791b48>, <kernel.DependentProduct object at 0x2b9a697917a0>) 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
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring map_fu4826362097070443709at_o_o:((int->product_prod_nat_nat)->((Prop->Prop)->((product_prod_nat_nat->Prop)->(int->Prop))))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a69791b90>, <kernel.DependentProduct object at 0x2b9a69791998>) 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
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring map_fu2345160673673942751at_nat:((int->product_prod_nat_nat)->((nat->nat)->((product_prod_nat_nat->nat)->(int->nat))))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a697917a0>, <kernel.DependentProduct object at 0x2b9a69791ef0>) 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
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring map_fu3667384564859982768at_int:((int->product_prod_nat_nat)->((product_prod_nat_nat->int)->((product_prod_nat_nat->product_prod_nat_nat)->(int->int))))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a69791998>, <kernel.DependentProduct object at 0x2b9a697917a0>) 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
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring map_fu898904425404107465nt_o_o:((rat->product_prod_int_int)->((Prop->Prop)->((product_prod_int_int->Prop)->(rat->Prop))))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a69791ef0>, <kernel.DependentProduct object at 0x2b9a69795050>) of role type named sy_c_Fun_Ostrict__mono__on_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring strict1292158309912662752at_nat:((nat->nat)->(set_nat->Prop))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a697917a0>, <kernel.DependentProduct object at 0x2b9a69795200>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a69791ef0>, <kernel.DependentProduct object at 0x2b9a69795128>) of role type named sy_c_Fun__Def_Ois__measure_001t__Int__Oint
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring fun_is_measure_int:((int->nat)->Prop)
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a69791f38>, <kernel.Constant object at 0x2b9a69795128>) of role type named sy_c_Fun__Def_Omax__strict
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring fun_max_strict:set_Pr4329608150637261639at_nat
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a69791ef0>, <kernel.Constant object at 0x2b9a69795290>) of role type named sy_c_Fun__Def_Omax__weak
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring fun_max_weak:set_Pr4329608150637261639at_nat
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a69791f38>, <kernel.Constant object at 0x2b9a69795200>) of role type named sy_c_Fun__Def_Omin__strict
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring fun_min_strict:set_Pr4329608150637261639at_nat
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a69791f38>, <kernel.Constant object at 0x2b9a69795128>) of role type named sy_c_Fun__Def_Omin__weak
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring fun_min_weak:set_Pr4329608150637261639at_nat
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a697951b8>, <kernel.Constant object at 0x2b9a69795290>) of role type named sy_c_Fun__Def_Opair__leq
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring fun_pair_leq:set_Pr8693737435421807431at_nat
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a697952d8>, <kernel.Constant object at 0x2b9a69795200>) of role type named sy_c_Fun__Def_Opair__less
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring fun_pair_less:set_Pr8693737435421807431at_nat
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a697951b8>, <kernel.DependentProduct object at 0x2b9a697953b0>) of role type named sy_c_Fun__Def_Oreduction__pair_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring fun_re2478310338295953701at_nat:(produc1319942482725812455at_nat->Prop)
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a697952d8>, <kernel.DependentProduct object at 0x2b9a69795488>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Int__Oint
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring gcd_Gcd_int:(set_int->int)
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a69795368>, <kernel.DependentProduct object at 0x2b9a697954d0>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Nat__Onat
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring gcd_Gcd_nat:(set_nat->nat)
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a69795128>, <kernel.DependentProduct object at 0x2b9a697952d8>) of role type named sy_c_GCD_Obezw
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring bezw:(nat->(nat->product_prod_int_int))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a69795518>, <kernel.DependentProduct object at 0x2b9a69795368>) of role type named sy_c_GCD_Obezw__rel
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring bezw_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a69795200>, <kernel.DependentProduct object at 0x2b9a69795128>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Code____Numeral__Ointeger
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring gcd_gcd_Code_integer:(code_integer->(code_integer->code_integer))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a69795560>, <kernel.DependentProduct object at 0x2b9a69795518>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Int__Oint
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring gcd_gcd_int:(int->(int->int))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a697955f0>, <kernel.DependentProduct object at 0x2b9a69795200>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Nat__Onat
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring gcd_gcd_nat:(nat->(nat->nat))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a697954d0>, <kernel.DependentProduct object at 0x2b9a69795560>) of role type named sy_c_GCD_Ogcd__nat__rel
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring gcd_nat_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a69795488>, <kernel.DependentProduct object at 0x2b9a697955a8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x2b9a69795518>, <kernel.DependentProduct object at 0x2b9a69795710>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.46/0.72 Using role type
% 0.46/0.72 Declaring abs_abs_complex:(complex->complex)
% 0.46/0.72 FOF formula (<kernel.Constant object at 0x2b9a697956c8>, <kernel.DependentProduct object at 0x2b9a69795758>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.46/0.72 Using role type
% 0.46/0.72 Declaring abs_abs_int:(int->int)
% 0.46/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795560>, <kernel.DependentProduct object at 0x2b9a697957a0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.46/0.72 Using role type
% 0.46/0.72 Declaring abs_abs_rat:(rat->rat)
% 0.46/0.72 FOF formula (<kernel.Constant object at 0x2b9a697955a8>, <kernel.DependentProduct object at 0x2b9a697957e8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.46/0.72 Using role type
% 0.46/0.72 Declaring abs_abs_real:(real->real)
% 0.46/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795710>, <kernel.DependentProduct object at 0x2b9a69795878>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Int__Oint_M_Eo_J
% 0.46/0.72 Using role type
% 0.46/0.72 Declaring minus_minus_int_o:((int->Prop)->((int->Prop)->(int->Prop)))
% 0.46/0.72 FOF formula (<kernel.Constant object at 0x2b9a697955a8>, <kernel.DependentProduct object at 0x2b9a69795908>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.46/0.72 Using role type
% 0.46/0.72 Declaring minus_1139252259498527702_nat_o:((list_nat->Prop)->((list_nat->Prop)->(list_nat->Prop)))
% 0.46/0.72 FOF formula (<kernel.Constant object at 0x2b9a697957e8>, <kernel.DependentProduct object at 0x2b9a697958c0>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Nat__Onat_M_Eo_J
% 0.46/0.72 Using role type
% 0.46/0.72 Declaring minus_minus_nat_o:((nat->Prop)->((nat->Prop)->(nat->Prop)))
% 0.46/0.72 FOF formula (<kernel.Constant object at 0x2b9a697955a8>, <kernel.DependentProduct object at 0x2b9a697959e0>) 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
% 0.46/0.72 Using role type
% 0.46/0.72 Declaring minus_2270307095948843157_nat_o:((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->(product_prod_nat_nat->Prop)))
% 0.46/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795908>, <kernel.DependentProduct object at 0x2b9a69795998>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Real__Oreal_M_Eo_J
% 0.46/0.72 Using role type
% 0.46/0.72 Declaring minus_minus_real_o:((real->Prop)->((real->Prop)->(real->Prop)))
% 0.46/0.72 FOF formula (<kernel.Constant object at 0x2b9a697955a8>, <kernel.DependentProduct object at 0x2b9a69795ab8>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.46/0.72 Using role type
% 0.46/0.72 Declaring minus_6910147592129066416_nat_o:((set_nat->Prop)->((set_nat->Prop)->(set_nat->Prop)))
% 0.46/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795998>, <kernel.DependentProduct object at 0x2b9a697955a8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger
% 0.46/0.72 Using role type
% 0.46/0.72 Declaring minus_8373710615458151222nteger:(code_integer->(code_integer->code_integer))
% 0.46/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795b00>, <kernel.DependentProduct object at 0x2b9a69795ab8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.46/0.72 Using role type
% 0.46/0.72 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.46/0.72 FOF formula (<kernel.Constant object at 0x2b9a697959e0>, <kernel.DependentProduct object at 0x2b9a69795998>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.46/0.72 Using role type
% 0.46/0.72 Declaring minus_minus_int:(int->(int->int))
% 0.46/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795b90>, <kernel.DependentProduct object at 0x2b9a69795b00>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.46/0.72 Using role type
% 0.46/0.72 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.46/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795908>, <kernel.DependentProduct object at 0x2b9a697959e0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat
% 0.46/0.72 Using role type
% 0.46/0.72 Declaring minus_minus_rat:(rat->(rat->rat))
% 0.46/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795a28>, <kernel.DependentProduct object at 0x2b9a69795b90>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_minus_real:(real->(real->real))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795908>, <kernel.DependentProduct object at 0x2b9a69795a28>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795ab8>, <kernel.DependentProduct object at 0x2b9a69795b90>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795908>, <kernel.DependentProduct object at 0x2b9a69795ab8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_7954133019191499631st_nat:(set_list_nat->(set_list_nat->set_list_nat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795d88>, <kernel.DependentProduct object at 0x2b9a69795b90>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795908>, <kernel.DependentProduct object at 0x2b9a69795d40>) 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
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_1356011639430497352at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795b90>, <kernel.DependentProduct object at 0x2b9a69795e18>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_3314409938677909166at_nat:(set_Pr4329608150637261639at_nat->(set_Pr4329608150637261639at_nat->set_Pr4329608150637261639at_nat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795f38>, <kernel.DependentProduct object at 0x2b9a69795d40>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795b90>, <kernel.DependentProduct object at 0x2b9a69795f38>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring minus_2163939370556025621et_nat:(set_set_nat->(set_set_nat->set_set_nat))
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795ab8>, <kernel.Constant object at 0x2b9a69795f38>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring one_one_Code_integer:code_integer
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795ef0>, <kernel.Constant object at 0x2b9a69795f38>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring one_one_complex:complex
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795ab8>, <kernel.Constant object at 0x2b9a69795e18>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795ef0>, <kernel.Constant object at 0x2b9a69795908>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring one_one_int:int
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795f38>, <kernel.Constant object at 0x2b9a6979a050>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring one_one_nat:nat
% 0.55/0.72 FOF formula (<kernel.Constant object at 0x2b9a69795ef0>, <kernel.Constant object at 0x2b9a6979a128>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.55/0.72 Using role type
% 0.55/0.72 Declaring one_one_rat:rat
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a69795f38>, <kernel.Constant object at 0x2b9a6979a128>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring one_one_real:real
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a1b8>, <kernel.DependentProduct object at 0x2b9a6979a290>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a69795ef0>, <kernel.DependentProduct object at 0x2b9a6979a0e0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a2d8>, <kernel.DependentProduct object at 0x2b9a6979a1b8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a3b0>, <kernel.DependentProduct object at 0x2b9a6979a0e0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring plus_plus_int:(int->(int->int))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a170>, <kernel.DependentProduct object at 0x2b9a6979a2d8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a488>, <kernel.DependentProduct object at 0x2b9a6979a3b0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring plus_plus_num:(num->(num->num))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a290>, <kernel.DependentProduct object at 0x2b9a6979a170>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a368>, <kernel.DependentProduct object at 0x2b9a6979a488>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring plus_plus_real:(real->(real->real))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a1b8>, <kernel.DependentProduct object at 0x2b9a6979a0e0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a3b0>, <kernel.DependentProduct object at 0x2b9a6979a2d8>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring sgn_sgn_complex:(complex->complex)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a170>, <kernel.DependentProduct object at 0x2b9a6979a638>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring sgn_sgn_int:(int->int)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a488>, <kernel.DependentProduct object at 0x2b9a6979a680>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring sgn_sgn_rat:(rat->rat)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a0e0>, <kernel.DependentProduct object at 0x2b9a6979a6c8>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring sgn_sgn_real:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a488>, <kernel.DependentProduct object at 0x2b9a6979a0e0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a710>, <kernel.DependentProduct object at 0x2b9a6979a6c8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_times_complex:(complex->(complex->complex))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a488>, <kernel.DependentProduct object at 0x2b9a6979a710>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a7e8>, <kernel.DependentProduct object at 0x2b9a6979a6c8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_times_int:(int->(int->int))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a2d8>, <kernel.DependentProduct object at 0x2b9a6979a488>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_times_nat:(nat->(nat->nat))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a8c0>, <kernel.DependentProduct object at 0x2b9a6979a7e8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_times_rat:(rat->(rat->rat))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a0e0>, <kernel.DependentProduct object at 0x2b9a6979a2d8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring times_times_real:(real->(real->real))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a7a0>, <kernel.DependentProduct object at 0x2b9a6979a8c0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Int__Oint_M_Eo_J
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus_uminus_int_o:((int->Prop)->(int->Prop))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a0e0>, <kernel.DependentProduct object at 0x2b9a6979a7a0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus5770388063884162150_nat_o:((list_nat->Prop)->(list_nat->Prop))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a7e8>, <kernel.DependentProduct object at 0x2b9a6979a8c0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Nat__Onat_M_Eo_J
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus_uminus_nat_o:((nat->Prop)->(nat->Prop))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a0e0>, <kernel.DependentProduct object at 0x2b9a6979a7e8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus8676089048583255045_nat_o:((product_prod_nat_nat->Prop)->(product_prod_nat_nat->Prop))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a2d8>, <kernel.DependentProduct object at 0x2b9a6979a8c0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Real__Oreal_M_Eo_J
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus_uminus_real_o:((real->Prop)->(real->Prop))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a0e0>, <kernel.DependentProduct object at 0x2b9a6979a2d8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus6401447641752708672_nat_o:((set_nat->Prop)->(set_nat->Prop))
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a8c0>, <kernel.DependentProduct object at 0x2b9a6979ac20>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979a2d8>, <kernel.DependentProduct object at 0x2b9a6979acb0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979aab8>, <kernel.DependentProduct object at 0x2b9a6979ad40>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus_uminus_int:(int->int)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979ab48>, <kernel.DependentProduct object at 0x2b9a6979ad88>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus_uminus_rat:(rat->rat)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979ac68>, <kernel.DependentProduct object at 0x2b9a6979add0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus_uminus_real:(real->real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979ab48>, <kernel.DependentProduct object at 0x2b9a6979ae18>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Int__Oint_J
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus1532241313380277803et_int:(set_int->set_int)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979add0>, <kernel.DependentProduct object at 0x2b9a6979aea8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus3195874150345416415st_nat:(set_list_nat->set_list_nat)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979ae18>, <kernel.DependentProduct object at 0x2b9a6979af38>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979aea8>, <kernel.DependentProduct object at 0x2b9a6979ae18>) 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
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus6524753893492686040at_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979af38>, <kernel.DependentProduct object at 0x2b9a6979b050>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus935396558254630718at_nat:(set_Pr4329608150637261639at_nat->set_Pr4329608150637261639at_nat)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979ae18>, <kernel.DependentProduct object at 0x2b9a6979b128>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Real__Oreal_J
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus612125837232591019t_real:(set_real->set_real)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979ae18>, <kernel.DependentProduct object at 0x2b9a6979b1b8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring uminus613421341184616069et_nat:(set_set_nat->set_set_nat)
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979aea8>, <kernel.Constant object at 0x2b9a6979b1b8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring zero_z3403309356797280102nteger:code_integer
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979ae18>, <kernel.Constant object at 0x2b9a6979b1b8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring zero_zero_complex:complex
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979b200>, <kernel.Constant object at 0x2b9a6979b050>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979aea8>, <kernel.Constant object at 0x2b9a6979b050>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring zero_zero_int:int
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979b2d8>, <kernel.Constant object at 0x2b9a6979b050>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring zero_zero_nat:nat
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979b320>, <kernel.Constant object at 0x2b9a6979b050>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring zero_zero_rat:rat
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979b368>, <kernel.Constant object at 0x2b9a6979b050>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring zero_zero_real:real
% 0.55/0.73 FOF formula (<kernel.Constant object at 0x2b9a6979b320>, <kernel.DependentProduct object at 0x2b9a6979b368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001_Eo_001t__Nat__Onat
% 0.55/0.73 Using role type
% 0.55/0.73 Declaring groups8507830703676809646_o_nat:((Prop->nat)->(set_o->nat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b050>, <kernel.DependentProduct object at 0x2b9a6979b4d0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b368>, <kernel.DependentProduct object at 0x2b9a6979b320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b4d0>, <kernel.DependentProduct object at 0x2b9a6979b050>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b320>, <kernel.DependentProduct object at 0x2b9a6979b368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups5058264527183730370ex_rat:((complex->rat)->(set_complex->rat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b050>, <kernel.DependentProduct object at 0x2b9a6979b4d0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b368>, <kernel.DependentProduct object at 0x2b9a6979b320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups7873554091576472773nteger:((int->code_integer)->(set_int->code_integer))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b4d0>, <kernel.DependentProduct object at 0x2b9a6979b050>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Complex__Ocomplex
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups3049146728041665814omplex:((int->complex)->(set_int->complex))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b320>, <kernel.DependentProduct object at 0x2b9a6979b368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b050>, <kernel.DependentProduct object at 0x2b9a6979b4d0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b368>, <kernel.DependentProduct object at 0x2b9a6979b320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Rat__Orat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups3906332499630173760nt_rat:((int->rat)->(set_int->rat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b4d0>, <kernel.DependentProduct object at 0x2b9a6979b050>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b320>, <kernel.DependentProduct object at 0x2b9a6979b368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups7501900531339628137nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b050>, <kernel.DependentProduct object at 0x2b9a6979b4d0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b368>, <kernel.DependentProduct object at 0x2b9a6979b320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Extended____Nat__Oenat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups7108830773950497114d_enat:((nat->extended_enat)->(set_nat->extended_enat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b4d0>, <kernel.DependentProduct object at 0x2b9a6979b050>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b320>, <kernel.DependentProduct object at 0x2b9a6979b368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b050>, <kernel.DependentProduct object at 0x2b9a6979b4d0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Rat__Orat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups2906978787729119204at_rat:((nat->rat)->(set_nat->rat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b368>, <kernel.DependentProduct object at 0x2b9a6979b320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b4d0>, <kernel.DependentProduct object at 0x2b9a6979b3b0>) 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
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups977919841031483927at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->nat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b320>, <kernel.DependentProduct object at 0x2b9a6979b050>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Nat__Onat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups3860910324918113789at_nat:((produc3843707927480180839at_nat->nat)->(set_Pr4329608150637261639at_nat->nat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b3b0>, <kernel.DependentProduct object at 0x2b9a6979bfc8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups7713935264441627589nteger:((real->code_integer)->(set_real->code_integer))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b3b0>, <kernel.DependentProduct object at 0x2b9a6979f098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups5754745047067104278omplex:((real->complex)->(set_real->complex))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b3b0>, <kernel.DependentProduct object at 0x2b9a6979f128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Int__Oint
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups1932886352136224148al_int:((real->int)->(set_real->int))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979b320>, <kernel.DependentProduct object at 0x2b9a6979f170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979f200>, <kernel.DependentProduct object at 0x2b9a6979f248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Rat__Orat
% 0.55/0.74 Using role type
% 0.55/0.74 Declaring groups1300246762558778688al_rat:((real->rat)->(set_real->rat))
% 0.55/0.74 FOF formula (<kernel.Constant object at 0x2b9a6979f2d8>, <kernel.DependentProduct object at 0x2b9a6979f1b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f290>, <kernel.DependentProduct object at 0x2b9a6979f200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups8294997508430121362at_nat:((set_nat->nat)->(set_set_nat->nat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f368>, <kernel.DependentProduct object at 0x2b9a6979f3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups771621172384141258BT_nat:((vEBT_VEBT->nat)->(set_VEBT_VEBT->nat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f290>, <kernel.DependentProduct object at 0x2b9a6979f2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups8682486955453173170nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f3f8>, <kernel.DependentProduct object at 0x2b9a6979f368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups3708469109370488835omplex:((complex->complex)->(set_complex->complex))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f2d8>, <kernel.DependentProduct object at 0x2b9a6979f290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Int__Oint
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups858564598930262913ex_int:((complex->int)->(set_complex->int))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f368>, <kernel.DependentProduct object at 0x2b9a6979f3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups861055069439313189ex_nat:((complex->nat)->(set_complex->nat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f290>, <kernel.DependentProduct object at 0x2b9a6979f2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups225925009352817453ex_rat:((complex->rat)->(set_complex->rat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f3f8>, <kernel.DependentProduct object at 0x2b9a6979f368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups766887009212190081x_real:((complex->real)->(set_complex->real))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f2d8>, <kernel.DependentProduct object at 0x2b9a6979f290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups3827104343326376752nteger:((int->code_integer)->(set_int->code_integer))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f368>, <kernel.DependentProduct object at 0x2b9a6979f3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Complex__Ocomplex
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups7440179247065528705omplex:((int->complex)->(set_int->complex))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f290>, <kernel.DependentProduct object at 0x2b9a6979f2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f3f8>, <kernel.DependentProduct object at 0x2b9a6979f368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Nat__Onat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups1707563613775114915nt_nat:((int->nat)->(set_int->nat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f2d8>, <kernel.DependentProduct object at 0x2b9a6979f290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Rat__Orat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups1072433553688619179nt_rat:((int->rat)->(set_int->rat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f368>, <kernel.DependentProduct object at 0x2b9a6979f3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Real__Oreal
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups2316167850115554303t_real:((int->real)->(set_int->real))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f290>, <kernel.DependentProduct object at 0x2b9a6979f2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups3455450783089532116nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f3f8>, <kernel.DependentProduct object at 0x2b9a6979f368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups6464643781859351333omplex:((nat->complex)->(set_nat->complex))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f2d8>, <kernel.DependentProduct object at 0x2b9a6979f290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f368>, <kernel.DependentProduct object at 0x2b9a6979f3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f290>, <kernel.DependentProduct object at 0x2b9a6979f2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Rat__Orat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups73079841787564623at_rat:((nat->rat)->(set_nat->rat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f3f8>, <kernel.DependentProduct object at 0x2b9a6979f368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Real__Oreal
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups129246275422532515t_real:((nat->real)->(set_nat->real))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f2d8>, <kernel.DependentProduct object at 0x2b9a6979f290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups6225526099057966256nteger:((real->code_integer)->(set_real->code_integer))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f368>, <kernel.DependentProduct object at 0x2b9a6979f3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups713298508707869441omplex:((real->complex)->(set_real->complex))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f290>, <kernel.DependentProduct object at 0x2b9a6979f0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Int__Oint
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups4694064378042380927al_int:((real->int)->(set_real->int))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f290>, <kernel.DependentProduct object at 0x2b9a697a1098>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Nat__Onat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups4696554848551431203al_nat:((real->nat)->(set_real->nat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f290>, <kernel.DependentProduct object at 0x2b9a697a1128>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Rat__Orat
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups4061424788464935467al_rat:((real->rat)->(set_real->rat))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2b9a6979f368>, <kernel.DependentProduct object at 0x2b9a697a1170>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Real__Oreal
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring groups1681761925125756287l_real:((real->real)->(set_real->real))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1200>, <kernel.DependentProduct object at 0x2b9a697a1170>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Int__Oint
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring groups9116527308978886569_o_int:((Prop->int)->(int->(list_o->int)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1368>, <kernel.DependentProduct object at 0x2b9a697a1248>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Nat__Onat
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring groups9119017779487936845_o_nat:((Prop->nat)->(nat->(list_o->nat)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a12d8>, <kernel.DependentProduct object at 0x2b9a697a14d0>) of role type named sy_c_Groups__List_Omonoid__add__class_Osum__list_001t__Nat__Onat
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring groups4561878855575611511st_nat:(list_nat->nat)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1290>, <kernel.DependentProduct object at 0x2b9a697a1518>) of role type named sy_c_HOL_OThe_001t__Int__Oint
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring the_int:((int->Prop)->int)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1368>, <kernel.DependentProduct object at 0x2b9a697a1560>) of role type named sy_c_HOL_OThe_001t__Real__Oreal
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring the_real:((real->Prop)->real)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1440>, <kernel.DependentProduct object at 0x2b9a697a15a8>) of role type named sy_c_If_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_int_int:(Prop->((int->int)->((int->int)->(int->int))))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a12d8>, <kernel.DependentProduct object at 0x2b9a697a15a8>) of role type named sy_c_If_001t__Code____Numeral__Ointeger
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_Code_integer:(Prop->(code_integer->(code_integer->code_integer)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1200>, <kernel.DependentProduct object at 0x2b9a697a1560>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a16c8>, <kernel.DependentProduct object at 0x2b9a697a1200>) of role type named sy_c_If_001t__Extended____Nat__Oenat
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_Extended_enat:(Prop->(extended_enat->(extended_enat->extended_enat)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1680>, <kernel.DependentProduct object at 0x2b9a697a1200>) of role type named sy_c_If_001t__Int__Oint
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_int:(Prop->(int->(int->int)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a10e0>, <kernel.DependentProduct object at 0x2b9a697a1200>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1758>, <kernel.DependentProduct object at 0x2b9a697a1200>) of role type named sy_c_If_001t__List__Olist_It__Nat__Onat_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_list_nat:(Prop->(list_nat->(list_nat->list_nat)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a17a0>, <kernel.DependentProduct object at 0x2b9a697a1200>) of role type named sy_c_If_001t__Nat__Onat
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a17e8>, <kernel.DependentProduct object at 0x2b9a697a1200>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a17a0>, <kernel.DependentProduct object at 0x2b9a697a15a8>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_Pro5737122678794959658eger_o:(Prop->(produc6271795597528267376eger_o->(produc6271795597528267376eger_o->produc6271795597528267376eger_o)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1200>, <kernel.DependentProduct object at 0x2b9a697a12d8>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a15a8>, <kernel.DependentProduct object at 0x2b9a697a16c8>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a12d8>, <kernel.DependentProduct object at 0x2b9a697a17e8>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1998>, <kernel.DependentProduct object at 0x2b9a697a17e8>) of role type named sy_c_If_001t__Rat__Orat
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1a28>, <kernel.DependentProduct object at 0x2b9a697a17e8>) of role type named sy_c_If_001t__Real__Oreal
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_real:(Prop->(real->(real->real)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1b00>, <kernel.DependentProduct object at 0x2b9a697a17e8>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1b48>, <kernel.DependentProduct object at 0x2b9a697a1b90>) of role type named sy_c_Int_OAbs__Integ
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring abs_Integ:(product_prod_nat_nat->int)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1878>, <kernel.DependentProduct object at 0x2b9a697a1200>) of role type named sy_c_Int_ORep__Integ
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring rep_Integ:(int->product_prod_nat_nat)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1368>, <kernel.DependentProduct object at 0x2b9a697a1878>) of role type named sy_c_Int_Oint__ge__less__than
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring int_ge_less_than:(int->set_Pr958786334691620121nt_int)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a12d8>, <kernel.DependentProduct object at 0x2b9a697a1200>) of role type named sy_c_Int_Oint__ge__less__than2
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring int_ge_less_than2:(int->set_Pr958786334691620121nt_int)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1a28>, <kernel.DependentProduct object at 0x2b9a697a1bd8>) of role type named sy_c_Int_Onat
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring nat2:(int->nat)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1200>, <kernel.DependentProduct object at 0x2b9a697a1368>) of role type named sy_c_Int_Opower__int_001t__Real__Oreal
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring power_int_real:(real->(int->real))
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1a28>, <kernel.DependentProduct object at 0x2b9a697a1cb0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1368>, <kernel.DependentProduct object at 0x2b9a697a1d40>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1c68>, <kernel.DependentProduct object at 0x2b9a697a1dd0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring ring_1_of_int_int:(int->int)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a1cf8>, <kernel.DependentProduct object at 0x2b9a697a1e18>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Rat__Orat
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring ring_1_of_int_rat:(int->rat)
% 0.55/0.76 FOF formula (<kernel.Constant object at 0x2b9a697a17e8>, <kernel.DependentProduct object at 0x2b9a697a1e60>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.55/0.76 Using role type
% 0.55/0.76 Declaring ring_1_of_int_real:(int->real)
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x2b9a697a1d40>, <kernel.DependentProduct object at 0x2b9a697a1cf8>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Int__Oint
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring inf_inf_int:(int->(int->int))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x2b9a697a1ea8>, <kernel.DependentProduct object at 0x2b9a697a17e8>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Nat__Onat
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring inf_inf_nat:(nat->(nat->nat))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x2b9a697a1d40>, <kernel.DependentProduct object at 0x2b9a697a1e60>) 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
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring inf_in2572325071724192079at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x2b9a697a17e8>, <kernel.DependentProduct object at 0x2b9a697a1ea8>) of role type named sy_c_Lattices_Osemilattice__neutr__order_001t__Nat__Onat
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring semila1623282765462674594er_nat:((nat->(nat->nat))->(nat->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x2b9a697a1f80>, <kernel.DependentProduct object at 0x2b9a697a1fc8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Int__Oint
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring sup_sup_int:(int->(int->int))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x2b9a697a1ea8>, <kernel.DependentProduct object at 0x2b9a697a1e18>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring sup_sup_nat:(nat->(nat->nat))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x2b9a697a1fc8>, <kernel.DependentProduct object at 0x2b9a697a1368>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring sup_sup_set_nat:(set_nat->(set_nat->set_nat))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x2b9a697a1fc8>, <kernel.DependentProduct object at 0x242d0e0>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring sup_su5525570899277871387at_nat:(set_Pr4329608150637261639at_nat->(set_Pr4329608150637261639at_nat->set_Pr4329608150637261639at_nat))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x2b9a697a1fc8>, <kernel.DependentProduct object at 0x242d200>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Int__Oint
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring lattic8263393255366662781ax_int:(set_int->int)
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x2b9a697a1368>, <kernel.DependentProduct object at 0x242d290>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x242d0e0>, <kernel.DependentProduct object at 0x242d1b8>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring lattic5364784637807008409ex_nat:((complex->nat)->(set_complex->complex))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x242d2d8>, <kernel.DependentProduct object at 0x242d098>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Complex__Ocomplex_001t__Num__Onum
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring lattic1922116423962787043ex_num:((complex->num)->(set_complex->complex))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x242d320>, <kernel.DependentProduct object at 0x242d0e0>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring lattic4729654577720512673ex_rat:((complex->rat)->(set_complex->complex))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x242d368>, <kernel.DependentProduct object at 0x242d3f8>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring lattic8794016678065449205x_real:((complex->real)->(set_complex->complex))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x242d320>, <kernel.DependentProduct object at 0x242d2d8>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Int__Oint_001t__Num__Onum
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring lattic5003618458639192673nt_num:((int->num)->(set_int->int))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x242d3f8>, <kernel.DependentProduct object at 0x242d368>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Int__Oint_001t__Rat__Orat
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring lattic7811156612396918303nt_rat:((int->rat)->(set_int->int))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x242d2d8>, <kernel.DependentProduct object at 0x242d320>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Int__Oint_001t__Real__Oreal
% 0.55/0.77 Using role type
% 0.55/0.77 Declaring lattic2675449441010098035t_real:((int->real)->(set_int->int))
% 0.55/0.77 FOF formula (<kernel.Constant object at 0x242d368>, <kernel.DependentProduct object at 0x242d3f8>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Nat__Onat_001t__Num__Onum
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring lattic4004264746738138117at_num:((nat->num)->(set_nat->nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d320>, <kernel.DependentProduct object at 0x242d2d8>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Nat__Onat_001t__Rat__Orat
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring lattic6811802900495863747at_rat:((nat->rat)->(set_nat->nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d3f8>, <kernel.DependentProduct object at 0x242d368>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Nat__Onat_001t__Real__Oreal
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring lattic488527866317076247t_real:((nat->real)->(set_nat->nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d2d8>, <kernel.DependentProduct object at 0x242d320>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Real__Oreal_001t__Nat__Onat
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring lattic5055836439445974935al_nat:((real->nat)->(set_real->real))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d368>, <kernel.DependentProduct object at 0x242d3f8>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Real__Oreal_001t__Num__Onum
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring lattic1613168225601753569al_num:((real->num)->(set_real->real))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d320>, <kernel.DependentProduct object at 0x242d2d8>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Real__Oreal_001t__Rat__Orat
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring lattic4420706379359479199al_rat:((real->rat)->(set_real->real))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d3f8>, <kernel.DependentProduct object at 0x242d368>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Real__Oreal_001t__Real__Oreal
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring lattic8440615504127631091l_real:((real->real)->(set_real->real))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d248>, <kernel.DependentProduct object at 0x242d3f8>) of role type named sy_c_List_Oappend_001t__Int__Oint
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring append_int:(list_int->(list_int->list_int))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d320>, <kernel.DependentProduct object at 0x242d368>) of role type named sy_c_List_Oappend_001t__Nat__Onat
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring append_nat:(list_nat->(list_nat->list_nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242db48>, <kernel.DependentProduct object at 0x242d0e0>) of role type named sy_c_List_Ocount__list_001_Eo
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring count_list_o:(list_o->(Prop->nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242dc20>, <kernel.DependentProduct object at 0x242d2d8>) of role type named sy_c_List_Ocount__list_001t__Complex__Ocomplex
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring count_list_complex:(list_complex->(complex->nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242db00>, <kernel.DependentProduct object at 0x242d320>) of role type named sy_c_List_Ocount__list_001t__Int__Oint
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring count_list_int:(list_int->(int->nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d248>, <kernel.DependentProduct object at 0x242dc20>) of role type named sy_c_List_Ocount__list_001t__Nat__Onat
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring count_list_nat:(list_nat->(nat->nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242db00>, <kernel.DependentProduct object at 0x242d248>) of role type named sy_c_List_Ocount__list_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring count_4203492906077236349at_nat:(list_P6011104703257516679at_nat->(product_prod_nat_nat->nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d3f8>, <kernel.DependentProduct object at 0x242dc20>) of role type named sy_c_List_Ocount__list_001t__Real__Oreal
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring count_list_real:(list_real->(real->nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d320>, <kernel.DependentProduct object at 0x242db00>) of role type named sy_c_List_Ocount__list_001t__Set__Oset_It__Nat__Onat_J
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring count_list_set_nat:(list_set_nat->(set_nat->nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242dd88>, <kernel.DependentProduct object at 0x242d3f8>) of role type named sy_c_List_Ocount__list_001t__VEBT____Definitions__OVEBT
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring count_list_VEBT_VEBT:(list_VEBT_VEBT->(vEBT_VEBT->nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242db90>, <kernel.DependentProduct object at 0x242d2d8>) of role type named sy_c_List_Odistinct_001t__Int__Oint
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring distinct_int:(list_int->Prop)
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d368>, <kernel.DependentProduct object at 0x242d248>) of role type named sy_c_List_Odistinct_001t__Nat__Onat
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring distinct_nat:(list_nat->Prop)
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242dd88>, <kernel.DependentProduct object at 0x242db90>) of role type named sy_c_List_Odrop_001t__Nat__Onat
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring drop_nat:(nat->(list_nat->list_nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242def0>, <kernel.DependentProduct object at 0x242d320>) of role type named sy_c_List_Oenumerate_001_Eo
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring enumerate_o:(nat->(list_o->list_P7333126701944960589_nat_o))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242df38>, <kernel.DependentProduct object at 0x242d368>) of role type named sy_c_List_Oenumerate_001t__Int__Oint
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring enumerate_int:(nat->(list_int->list_P3521021558325789923at_int))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242df80>, <kernel.DependentProduct object at 0x242def0>) of role type named sy_c_List_Oenumerate_001t__Nat__Onat
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring enumerate_nat:(nat->(list_nat->list_P6011104703257516679at_nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242dc20>, <kernel.DependentProduct object at 0x242df38>) of role type named sy_c_List_Oenumerate_001t__VEBT____Definitions__OVEBT
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring enumerate_VEBT_VEBT:(nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242db90>, <kernel.DependentProduct object at 0x242df38>) of role type named sy_c_List_Ofind_001_Eo
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring find_o:((Prop->Prop)->(list_o->option_o))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d3f8>, <kernel.DependentProduct object at 0x242de60>) of role type named sy_c_List_Ofind_001t__Int__Oint
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring find_int:((int->Prop)->(list_int->option_int))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d248>, <kernel.DependentProduct object at 0x242df80>) of role type named sy_c_List_Ofind_001t__Nat__Onat
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring find_nat:((nat->Prop)->(list_nat->option_nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d2d8>, <kernel.DependentProduct object at 0x2412098>) of role type named sy_c_List_Ofind_001t__Num__Onum
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring find_num:((num->Prop)->(list_num->option_num))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242df80>, <kernel.DependentProduct object at 0x2412098>) of role type named sy_c_List_Ofind_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring find_P8199882355184865565at_nat:((product_prod_nat_nat->Prop)->(list_P6011104703257516679at_nat->option4927543243414619207at_nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d3f8>, <kernel.DependentProduct object at 0x2412200>) of role type named sy_c_List_Ofind_001t__Real__Oreal
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring find_real:((real->Prop)->(list_real->option_real))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d2d8>, <kernel.DependentProduct object at 0x24120e0>) of role type named sy_c_List_Ofind_001t__Set__Oset_It__Nat__Onat_J
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring find_set_nat:((set_nat->Prop)->(list_set_nat->option_set_nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d248>, <kernel.DependentProduct object at 0x2412098>) of role type named sy_c_List_Ofind_001t__VEBT____Definitions__OVEBT
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring find_VEBT_VEBT:((vEBT_VEBT->Prop)->(list_VEBT_VEBT->option_VEBT_VEBT))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d248>, <kernel.DependentProduct object at 0x24122d8>) of role type named sy_c_List_Ogen__length_001_Eo
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring gen_length_o:(nat->(list_o->nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x242d248>, <kernel.DependentProduct object at 0x2412050>) of role type named sy_c_List_Ogen__length_001t__Int__Oint
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring gen_length_int:(nat->(list_int->nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x24123b0>, <kernel.DependentProduct object at 0x24121b8>) of role type named sy_c_List_Ogen__length_001t__Nat__Onat
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring gen_length_nat:(nat->(list_nat->nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x2412368>, <kernel.DependentProduct object at 0x2412290>) of role type named sy_c_List_Ogen__length_001t__VEBT____Definitions__OVEBT
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring gen_length_VEBT_VEBT:(nat->(list_VEBT_VEBT->nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x24123b0>, <kernel.DependentProduct object at 0x24120e0>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x24122d8>, <kernel.DependentProduct object at 0x2412290>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring cons_int:(int->(list_int->list_int))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x2412488>, <kernel.DependentProduct object at 0x24123b0>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x24124d0>, <kernel.Constant object at 0x24123b0>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring nil_int:list_int
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x2412290>, <kernel.Constant object at 0x24123b0>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring nil_nat:list_nat
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x2412200>, <kernel.DependentProduct object at 0x24125f0>) of role type named sy_c_List_Olist_Ohd_001t__Nat__Onat
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring hd_nat:(list_nat->nat)
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x2412560>, <kernel.DependentProduct object at 0x24125f0>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__Nat__Onat
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring map_nat_nat:((nat->nat)->(list_nat->list_nat))
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x24123b0>, <kernel.DependentProduct object at 0x2412560>) of role type named sy_c_List_Olist_Oset_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring set_Co8062243466402858685e_term:(list_C878401137130745250e_term->set_Co9149898834107579976e_term)
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x24125f0>, <kernel.DependentProduct object at 0x24123b0>) of role type named sy_c_List_Olist_Oset_001_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J
% 0.55/0.78 Using role type
% 0.55/0.78 Declaring set_in5217446777445088012e_term:(list_i8448526496819171953e_term->set_in3461395444621081367e_term)
% 0.55/0.78 FOF formula (<kernel.Constant object at 0x2412560>, <kernel.DependentProduct object at 0x24125f0>) of role type named sy_c_List_Olist_Oset_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr8342322266483756581e_term:(list_P1316552470764441098e_term->set_Pr7604974323444597168e_term)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x24123b0>, <kernel.DependentProduct object at 0x2412560>) of role type named sy_c_List_Olist_Oset_001_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr16608062948090134e_term:(list_P1743416141875011707e_term->set_Pr3642885161833720865e_term)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2412710>, <kernel.DependentProduct object at 0x2412878>) of role type named sy_c_List_Olist_Oset_001_Eo
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_o2:(list_o->set_o)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x24121b8>, <kernel.DependentProduct object at 0x24128c0>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_complex2:(list_complex->set_complex)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x24127a0>, <kernel.DependentProduct object at 0x2412908>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_int2:(list_int->set_int)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2412560>, <kernel.DependentProduct object at 0x2412950>) of role type named sy_c_List_Olist_Oset_001t__List__Olist_It__Nat__Onat_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_list_nat2:(list_list_nat->set_list_nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2412878>, <kernel.DependentProduct object at 0x2412998>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_nat2:(list_nat->set_nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x24128c0>, <kernel.DependentProduct object at 0x24129e0>) of role type named sy_c_List_Olist_Oset_001t__Num__Onum
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_num2:(list_num->set_num)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2412878>, <kernel.DependentProduct object at 0x24128c0>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_I_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr2999063419360598313nteger:(list_P5311841565141990158nteger->set_Pr8056137968301705908nteger)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x24129e0>, <kernel.DependentProduct object at 0x2412878>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_I_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr1633835384712236856nt_int:(list_P8915022641806594461nt_int->set_Pr1872883991513573699nt_int)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x24128c0>, <kernel.DependentProduct object at 0x24129e0>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr2135590979564877377nteger:(list_P7828571989066258726nteger->set_Pr1281608226676607948nteger)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2412878>, <kernel.DependentProduct object at 0x24128c0>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr4943052134776177454nt_int:(list_P651320350408439699nt_int->set_Pr9222295170931077689nt_int)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2412b00>, <kernel.DependentProduct object at 0x2412c68>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Product_prod_o_o2:(list_P4002435161011370285od_o_o->set_Product_prod_o_o)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2412878>, <kernel.DependentProduct object at 0x2412b00>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr2828948584524939422_o_int:(list_P3795440434834930179_o_int->set_Pr8834758594704517033_o_int)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2412c68>, <kernel.DependentProduct object at 0x2412878>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr7006799604034136130_o_nat:(list_P6285523579766656935_o_nat->set_Pr2101469702781467981_o_nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2412b00>, <kernel.DependentProduct object at 0x2412c68>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_I_Eo_Mt__Real__Oreal_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr2600826154070092190o_real:(list_P5232166724548748803o_real->set_Pr6573716822653411497o_real)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2412878>, <kernel.DependentProduct object at 0x2412b00>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr655345902815428824T_VEBT:(list_P7495141550334521929T_VEBT->set_Pr7543698050874017315T_VEBT)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2412c68>, <kernel.DependentProduct object at 0x2412878>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr920681315882439344nteger:(list_P5578671422887162913nteger->set_Pr4811707699266497531nteger)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2412b00>, <kernel.DependentProduct object at 0x2412c68>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr2470121279949933262nt_int:(list_P5707943133018811711nt_int->set_Pr958786334691620121nt_int)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2412878>, <kernel.DependentProduct object at 0x2415050>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Int__Oint_Mt__Real__Oreal_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr112895574167722958t_real:(list_P6863124054624500543t_real->set_Pr3538720872664544793t_real)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2412c68>, <kernel.DependentProduct object at 0x2415098>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Int__Oint_Mt__VEBT____Definitions__OVEBT_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr8714266321650254504T_VEBT:(list_P7524865323317820941T_VEBT->set_Pr8044002425091019955T_VEBT)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2412c20>, <kernel.DependentProduct object at 0x2415128>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr5648618587558075414at_nat:(list_P6011104703257516679at_nat->set_Pr1261947904930325089at_nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2412c20>, <kernel.DependentProduct object at 0x2415050>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr5518436109238095868at_nat:(list_P8469869581646625389at_nat->set_Pr8693737435421807431at_nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2412c20>, <kernel.DependentProduct object at 0x24151b8>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Real__Oreal_M_Eo_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr5196769464307566348real_o:(list_P3595434254542482545real_o->set_Pr4936984352647145239real_o)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2415098>, <kernel.DependentProduct object at 0x2415248>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Int__Oint_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr8219819362198175822al_int:(list_P4344331454722006975al_int->set_Pr1019928272762051225al_int)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x24151b8>, <kernel.DependentProduct object at 0x24152d8>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Nat__Onat_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr3174298344852596722al_nat:(list_P6834414599653733731al_nat->set_Pr3510011417693777981al_nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2415248>, <kernel.DependentProduct object at 0x2415368>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr5999470521830281550l_real:(list_P8689742595348180415l_real->set_Pr6218003697084177305l_real)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x24152d8>, <kernel.DependentProduct object at 0x24153f8>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Real__Oreal_Mt__VEBT____Definitions__OVEBT_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr8897343066327330088T_VEBT:(list_P877281246627933069T_VEBT->set_Pr6019664923565264691T_VEBT)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2415368>, <kernel.DependentProduct object at 0x2415488>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Set__Oset_It__Nat__Onat_J_Mt__Set__Oset_It__Nat__Onat_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr9040384385603167362et_nat:(list_P6254988961118846195et_nat->set_Pr5488025237498180813et_nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x24153f8>, <kernel.DependentProduct object at 0x2415518>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr3765526544606949372at_nat:(list_P5464809261938338413at_nat->set_Pr4329608150637261639at_nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2415488>, <kernel.DependentProduct object at 0x24155a8>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr7708085864119495200VEBT_o:(list_P3126845725202233233VEBT_o->set_Pr3175402225741728619VEBT_o)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2415518>, <kernel.DependentProduct object at 0x2415638>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr2853735649769556538BT_int:(list_P4547456442757143711BT_int->set_Pr5066593544530342725BT_int)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x24155a8>, <kernel.DependentProduct object at 0x24156c8>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr7031586669278753246BT_nat:(list_P7037539587688870467BT_nat->set_Pr7556676689462069481BT_nat)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2415638>, <kernel.DependentProduct object at 0x2415758>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Real__Oreal_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr1087130671499945274T_real:(list_P2623026923184700063T_real->set_Pr7765410600122031685T_real)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x24156c8>, <kernel.DependentProduct object at 0x24157e8>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_Pr9182192707038809660T_VEBT:(list_P7413028617227757229T_VEBT->set_Pr6192946355708809607T_VEBT)
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2412c68>, <kernel.DependentProduct object at 0x2415950>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring set_real2:(list_real->set_real)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x24150e0>, <kernel.DependentProduct object at 0x2415998>) of role type named sy_c_List_Olist_Oset_001t__Set__Oset_It__Nat__Onat_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring set_set_nat2:(list_set_nat->set_set_nat)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2415878>, <kernel.DependentProduct object at 0x24159e0>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x24157e8>, <kernel.DependentProduct object at 0x2415950>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2415638>, <kernel.DependentProduct object at 0x2415050>) of role type named sy_c_List_Olist_Otl_001t__Nat__Onat
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring tl_nat:(list_nat->list_nat)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2415878>, <kernel.DependentProduct object at 0x2415950>) of role type named sy_c_List_Olist__update_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring list_u4743598893156345252e_term:(list_C878401137130745250e_term->(nat->((code_integer->option6357759511663192854e_term)->list_C878401137130745250e_term)))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2415638>, <kernel.DependentProduct object at 0x2415878>) of role type named sy_c_List_Olist__update_001_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring list_u8946639151299769843e_term:(list_i8448526496819171953e_term->(nat->((int->option6357759511663192854e_term)->list_i8448526496819171953e_term)))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2415950>, <kernel.DependentProduct object at 0x2415638>) of role type named sy_c_List_Olist__update_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring list_u877304756163299468e_term:(list_P1316552470764441098e_term->(nat->((produc6241069584506657477e_term->option6357759511663192854e_term)->list_P1316552470764441098e_term)))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2415878>, <kernel.DependentProduct object at 0x2415950>) of role type named sy_c_List_Olist__update_001_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring list_u3533491785856317309e_term:(list_P1743416141875011707e_term->(nat->((produc8551481072490612790e_term->option6357759511663192854e_term)->list_P1743416141875011707e_term)))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x24150e0>, <kernel.DependentProduct object at 0x2415878>) of role type named sy_c_List_Olist__update_001_Eo
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring list_update_o:(list_o->(nat->(Prop->list_o)))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2415d40>, <kernel.DependentProduct object at 0x2415638>) of role type named sy_c_List_Olist__update_001t__Int__Oint
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring list_update_int:(list_int->(nat->(int->list_int)))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x24159e0>, <kernel.DependentProduct object at 0x2415950>) of role type named sy_c_List_Olist__update_001t__Nat__Onat
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring list_update_nat:(list_nat->(nat->(nat->list_nat)))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2415d40>, <kernel.DependentProduct object at 0x24159e0>) of role type named sy_c_List_Olist__update_001t__Product____Type__Oprod_I_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring list_u1133519416628930960nteger:(list_P5311841565141990158nteger->(nat->(produc8763457246119570046nteger->list_P5311841565141990158nteger)))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2415950>, <kernel.DependentProduct object at 0x2415d40>) of role type named sy_c_List_Olist__update_001t__Product____Type__Oprod_I_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring list_u4780935413889332127nt_int:(list_P8915022641806594461nt_int->(nat->(produc7773217078559923341nt_int->list_P8915022641806594461nt_int)))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x24159e0>, <kernel.DependentProduct object at 0x2415950>) of role type named sy_c_List_Olist__update_001t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring list_u234853988314817064nteger:(list_P7828571989066258726nteger->(nat->(produc1908205239877642774nteger->list_P7828571989066258726nteger)))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2415d40>, <kernel.DependentProduct object at 0x24159e0>) of role type named sy_c_List_Olist__update_001t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring list_u7736365598306452245nt_int:(list_P651320350408439699nt_int->(nat->(produc2285326912895808259nt_int->list_P651320350408439699nt_int)))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2415950>, <kernel.DependentProduct object at 0x2415d40>) of role type named sy_c_List_Olist__update_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring list_u2254550707601501961nteger:(list_P5578671422887162913nteger->(nat->(produc8923325533196201883nteger->list_P5578671422887162913nteger)))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x24159e0>, <kernel.DependentProduct object at 0x2418098>) of role type named sy_c_List_Olist__update_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring list_u3002344382305578791nt_int:(list_P5707943133018811711nt_int->(nat->(product_prod_int_int->list_P5707943133018811711nt_int)))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2415d40>, <kernel.DependentProduct object at 0x2418050>) of role type named sy_c_List_Olist__update_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring list_u6180841689913720943at_nat:(list_P6011104703257516679at_nat->(nat->(product_prod_nat_nat->list_P6011104703257516679at_nat)))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2415d40>, <kernel.DependentProduct object at 0x2418128>) of role type named sy_c_List_Olist__update_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring list_u4696772448584712917at_nat:(list_P5464809261938338413at_nat->(nat->(produc3843707927480180839at_nat->list_P5464809261938338413at_nat)))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2415a70>, <kernel.DependentProduct object at 0x2418248>) of role type named sy_c_List_Olist__update_001t__Real__Oreal
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring list_update_real:(list_real->(nat->(real->list_real)))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2415d40>, <kernel.DependentProduct object at 0x24181b8>) of role type named sy_c_List_Olist__update_001t__Set__Oset_It__Nat__Onat_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring list_update_set_nat:(list_set_nat->(nat->(set_nat->list_set_nat)))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x24183b0>, <kernel.DependentProduct object at 0x2418290>) of role type named sy_c_List_Olist__update_001t__VEBT____Definitions__OVEBT
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring list_u1324408373059187874T_VEBT:(list_VEBT_VEBT->(nat->(vEBT_VEBT->list_VEBT_VEBT)))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2415a70>, <kernel.DependentProduct object at 0x2418248>) of role type named sy_c_List_Olistrel1_001_Eo
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring listrel1_o:(set_Product_prod_o_o->set_Pr6227168374412355847list_o)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x24181b8>, <kernel.DependentProduct object at 0x24183b0>) of role type named sy_c_List_Olistrel1_001t__Int__Oint
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring listrel1_int:(set_Pr958786334691620121nt_int->set_Pr765067013931698361st_int)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2418128>, <kernel.DependentProduct object at 0x2418248>) of role type named sy_c_List_Olistrel1_001t__Nat__Onat
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring listrel1_nat:(set_Pr1261947904930325089at_nat->set_Pr3451248702717554689st_nat)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2418290>, <kernel.DependentProduct object at 0x24183f8>) of role type named sy_c_List_Olistrel1_001t__VEBT____Definitions__OVEBT
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring listrel1_VEBT_VEBT:(set_Pr6192946355708809607T_VEBT->set_Pr1916528119006554503T_VEBT)
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2418200>, <kernel.DependentProduct object at 0x2418050>) of role type named sy_c_List_Olistrel1p_001t__Int__Oint
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring listrel1p_int:((int->(int->Prop))->(list_int->(list_int->Prop)))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x24184d0>, <kernel.DependentProduct object at 0x2418290>) of role type named sy_c_List_Onth_001_Eo
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring nth_o:(list_o->(nat->Prop))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2418440>, <kernel.DependentProduct object at 0x24184d0>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring nth_int:(list_int->(nat->int))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2418560>, <kernel.DependentProduct object at 0x2418200>) of role type named sy_c_List_Onth_001t__List__Olist_It__Nat__Onat_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring nth_list_nat:(list_list_nat->(nat->list_nat))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2418518>, <kernel.DependentProduct object at 0x2418560>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring nth_nat:(list_nat->(nat->nat))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2418638>, <kernel.DependentProduct object at 0x2418200>) of role type named sy_c_List_Onth_001t__Num__Onum
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring nth_num:(list_num->(nat->num))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2418680>, <kernel.DependentProduct object at 0x2418290>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring nth_Product_prod_o_o:(list_P4002435161011370285od_o_o->(nat->product_prod_o_o))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2418518>, <kernel.DependentProduct object at 0x2418680>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring nth_Pr1649062631805364268_o_int:(list_P3795440434834930179_o_int->(nat->product_prod_o_int))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2418290>, <kernel.DependentProduct object at 0x2418518>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring nth_Pr5826913651314560976_o_nat:(list_P6285523579766656935_o_nat->(nat->product_prod_o_nat))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2418680>, <kernel.DependentProduct object at 0x2418290>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring nth_Pr6777367263587873994T_VEBT:(list_P7495141550334521929T_VEBT->(nat->produc2504756804600209347T_VEBT))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2418518>, <kernel.DependentProduct object at 0x2418680>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring nth_Pr112076138515278198_nat_o:(list_P7333126701944960589_nat_o->(nat->product_prod_nat_o))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418290>, <kernel.DependentProduct object at 0x2418518>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring nth_Pr3440142176431000676at_int:(list_P3521021558325789923at_int->(nat->product_prod_nat_int))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418680>, <kernel.DependentProduct object at 0x2418290>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring nth_Pr7617993195940197384at_nat:(list_P6011104703257516679at_nat->(nat->product_prod_nat_nat))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418518>, <kernel.DependentProduct object at 0x2418680>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring nth_Pr744662078594809490T_VEBT:(list_P5647936690300460905T_VEBT->(nat->produc8025551001238799321T_VEBT))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418290>, <kernel.DependentProduct object at 0x2418518>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418680>, <kernel.DependentProduct object at 0x2418290>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring nth_Pr6837108013167703752BT_int:(list_P4547456442757143711BT_int->(nat->produc4894624898956917775BT_int))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418518>, <kernel.DependentProduct object at 0x2418680>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring nth_Pr1791586995822124652BT_nat:(list_P7037539587688870467BT_nat->(nat->produc9072475918466114483BT_nat))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418290>, <kernel.DependentProduct object at 0x2418518>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x24184d0>, <kernel.DependentProduct object at 0x2418290>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring nth_real:(list_real->(nat->real))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418d40>, <kernel.DependentProduct object at 0x2418680>) of role type named sy_c_List_Onth_001t__Set__Oset_It__Nat__Onat_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring nth_set_nat:(list_set_nat->(nat->set_nat))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418dd0>, <kernel.DependentProduct object at 0x2418518>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418cb0>, <kernel.DependentProduct object at 0x2418dd0>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418e60>, <kernel.DependentProduct object at 0x2418d40>) of role type named sy_c_List_Oproduct_001_Eo_001t__Int__Oint
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring product_o_int:(list_o->(list_int->list_P3795440434834930179_o_int))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418ea8>, <kernel.DependentProduct object at 0x2418518>) of role type named sy_c_List_Oproduct_001_Eo_001t__Nat__Onat
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring product_o_nat:(list_o->(list_nat->list_P6285523579766656935_o_nat))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418680>, <kernel.DependentProduct object at 0x2418e60>) of role type named sy_c_List_Oproduct_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring product_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418998>, <kernel.DependentProduct object at 0x2418ea8>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001_Eo
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring product_nat_o:(list_nat->(list_o->list_P7333126701944960589_nat_o))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418680>, <kernel.DependentProduct object at 0x2418998>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring produc7156399406898700509T_VEBT:(list_nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418f38>, <kernel.DependentProduct object at 0x2418ea8>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418680>, <kernel.DependentProduct object at 0x2418f38>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring produc7292646706713671643BT_int:(list_VEBT_VEBT->(list_int->list_P4547456442757143711BT_int))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418ea8>, <kernel.DependentProduct object at 0x241a0e0>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring produc7295137177222721919BT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418f38>, <kernel.DependentProduct object at 0x241a170>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418d88>, <kernel.DependentProduct object at 0x241a248>) of role type named sy_c_List_Oremdups_001t__Nat__Onat
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring remdups_nat:(list_nat->list_nat)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418ea8>, <kernel.DependentProduct object at 0x241a0e0>) of role type named sy_c_List_Oreplicate_001_Eo
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring replicate_o:(nat->(Prop->list_o))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418d88>, <kernel.DependentProduct object at 0x241a200>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring replicate_int:(nat->(int->list_int))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x2418ea8>, <kernel.DependentProduct object at 0x241a050>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x241a290>, <kernel.DependentProduct object at 0x241a368>) of role type named sy_c_List_Oreplicate_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring replic4235873036481779905at_nat:(nat->(product_prod_nat_nat->list_P6011104703257516679at_nat))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x241a2d8>, <kernel.DependentProduct object at 0x241a170>) of role type named sy_c_List_Oreplicate_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring replic2264142908078655527at_nat:(nat->(produc3843707927480180839at_nat->list_P5464809261938338413at_nat))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x241a3f8>, <kernel.DependentProduct object at 0x241a368>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring replicate_real:(nat->(real->list_real))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x241a290>, <kernel.DependentProduct object at 0x241a2d8>) of role type named sy_c_List_Oreplicate_001t__Set__Oset_It__Nat__Onat_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring replicate_set_nat:(nat->(set_nat->list_set_nat))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0x241a488>, <kernel.DependentProduct object at 0x241a3f8>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241a1b8>, <kernel.DependentProduct object at 0x241a200>) of role type named sy_c_List_Osorted__wrt_001t__Int__Oint
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring sorted_wrt_int:((int->(int->Prop))->(list_int->Prop))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241a3f8>, <kernel.DependentProduct object at 0x241a560>) of role type named sy_c_List_Osorted__wrt_001t__Nat__Onat
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring sorted_wrt_nat:((nat->(nat->Prop))->(list_nat->Prop))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241a320>, <kernel.DependentProduct object at 0x241a3f8>) of role type named sy_c_List_Otake_001t__Nat__Onat
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring take_nat:(nat->(list_nat->list_nat))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241a5f0>, <kernel.DependentProduct object at 0x241a1b8>) of role type named sy_c_List_Oupt
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring upt:(nat->(nat->list_nat))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241a680>, <kernel.DependentProduct object at 0x241a560>) of role type named sy_c_List_Oupto
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring upto:(int->(int->list_int))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241a638>, <kernel.DependentProduct object at 0x241a5f0>) of role type named sy_c_List_Oupto__aux
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241a248>, <kernel.DependentProduct object at 0x241a680>) of role type named sy_c_List_Oupto__rel
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring upto_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241a638>, <kernel.DependentProduct object at 0x241a560>) of role type named sy_c_List_Ozip_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_Co8729459035503499408nteger:(list_C878401137130745250e_term->(list_P5578671422887162913nteger->list_P5311841565141990158nteger))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241a680>, <kernel.DependentProduct object at 0x241a1b8>) of role type named sy_c_List_Ozip_001_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_in8766932505889695135nt_int:(list_i8448526496819171953e_term->(list_P5707943133018811711nt_int->list_P8915022641806594461nt_int))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241a560>, <kernel.DependentProduct object at 0x241a320>) of role type named sy_c_List_Ozip_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_Pr8292346330294042792nteger:(list_P1316552470764441098e_term->(list_P5578671422887162913nteger->list_P7828571989066258726nteger))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241a1b8>, <kernel.DependentProduct object at 0x241a290>) of role type named sy_c_List_Ozip_001_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_Pr4168994715204986005nt_int:(list_P1743416141875011707e_term->(list_P5707943133018811711nt_int->list_P651320350408439699nt_int))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241a200>, <kernel.DependentProduct object at 0x241a1b8>) of role type named sy_c_List_Ozip_001_Eo_001_Eo
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241a9e0>, <kernel.DependentProduct object at 0x241a320>) of role type named sy_c_List_Ozip_001_Eo_001t__Int__Oint
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_o_int:(list_o->(list_int->list_P3795440434834930179_o_int))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241aa28>, <kernel.DependentProduct object at 0x241a290>) of role type named sy_c_List_Ozip_001_Eo_001t__Nat__Onat
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_o_nat:(list_o->(list_nat->list_P6285523579766656935_o_nat))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241a950>, <kernel.DependentProduct object at 0x241a9e0>) of role type named sy_c_List_Ozip_001_Eo_001t__Real__Oreal
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_o_real:(list_o->(list_real->list_P5232166724548748803o_real))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241a998>, <kernel.DependentProduct object at 0x241aa28>) of role type named sy_c_List_Ozip_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241aa70>, <kernel.DependentProduct object at 0x241a950>) of role type named sy_c_List_Ozip_001t__Int__Oint_001t__Int__Oint
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_int_int:(list_int->(list_int->list_P5707943133018811711nt_int))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241aab8>, <kernel.DependentProduct object at 0x241a998>) of role type named sy_c_List_Ozip_001t__Int__Oint_001t__Real__Oreal
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_int_real:(list_int->(list_real->list_P6863124054624500543t_real))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241ab00>, <kernel.DependentProduct object at 0x241aa70>) of role type named sy_c_List_Ozip_001t__Int__Oint_001t__VEBT____Definitions__OVEBT
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_int_VEBT_VEBT:(list_int->(list_VEBT_VEBT->list_P7524865323317820941T_VEBT))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241ab48>, <kernel.DependentProduct object at 0x241aab8>) of role type named sy_c_List_Ozip_001t__Nat__Onat_001_Eo
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_nat_o:(list_nat->(list_o->list_P7333126701944960589_nat_o))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241ab90>, <kernel.DependentProduct object at 0x241ab00>) of role type named sy_c_List_Ozip_001t__Nat__Onat_001t__Nat__Onat
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_nat_nat:(list_nat->(list_nat->list_P6011104703257516679at_nat))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241abd8>, <kernel.DependentProduct object at 0x241ab48>) of role type named sy_c_List_Ozip_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_nat_VEBT_VEBT:(list_nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241ab90>, <kernel.DependentProduct object at 0x241a8c0>) of role type named sy_c_List_Ozip_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_Pr4664179122662387191at_nat:(list_P6011104703257516679at_nat->(list_P6011104703257516679at_nat->list_P8469869581646625389at_nat))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241ac68>, <kernel.DependentProduct object at 0x241ab48>) of role type named sy_c_List_Ozip_001t__Real__Oreal_001_Eo
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_real_o:(list_real->(list_o->list_P3595434254542482545real_o))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241ad40>, <kernel.DependentProduct object at 0x241ab90>) of role type named sy_c_List_Ozip_001t__Real__Oreal_001t__Int__Oint
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_real_int:(list_real->(list_int->list_P4344331454722006975al_int))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241abd8>, <kernel.DependentProduct object at 0x241ac68>) of role type named sy_c_List_Ozip_001t__Real__Oreal_001t__Nat__Onat
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_real_nat:(list_real->(list_nat->list_P6834414599653733731al_nat))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241ad88>, <kernel.DependentProduct object at 0x241ad40>) of role type named sy_c_List_Ozip_001t__Real__Oreal_001t__Real__Oreal
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring zip_real_real:(list_real->(list_real->list_P8689742595348180415l_real))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0x241add0>, <kernel.DependentProduct object at 0x241abd8>) of role type named sy_c_List_Ozip_001t__Real__Oreal_001t__VEBT____Definitions__OVEBT
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring zip_real_VEBT_VEBT:(list_real->(list_VEBT_VEBT->list_P877281246627933069T_VEBT))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241ae18>, <kernel.DependentProduct object at 0x241ad88>) of role type named sy_c_List_Ozip_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Nat__Onat_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring zip_set_nat_set_nat:(list_set_nat->(list_set_nat->list_P6254988961118846195et_nat))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241ae60>, <kernel.DependentProduct object at 0x241add0>) of role type named sy_c_List_Ozip_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring zip_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241aea8>, <kernel.DependentProduct object at 0x241ae18>) of role type named sy_c_List_Ozip_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring zip_VEBT_VEBT_int:(list_VEBT_VEBT->(list_int->list_P4547456442757143711BT_int))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241aef0>, <kernel.DependentProduct object at 0x241ae60>) of role type named sy_c_List_Ozip_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring zip_VEBT_VEBT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241af38>, <kernel.DependentProduct object at 0x241aea8>) of role type named sy_c_List_Ozip_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring zip_VEBT_VEBT_real:(list_VEBT_VEBT->(list_real->list_P2623026923184700063T_real))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241aef0>, <kernel.DependentProduct object at 0x241af38>) of role type named sy_c_List_Ozip_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring zip_VE537291747668921783T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241af80>, <kernel.DependentProduct object at 0x241d098>) of role type named sy_c_Nat_OSuc
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring suc:(nat->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241acb0>, <kernel.DependentProduct object at 0x241d170>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241a908>, <kernel.DependentProduct object at 0x241d200>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241acb0>, <kernel.DependentProduct object at 0x241d1b8>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241aea8>, <kernel.DependentProduct object at 0x241d248>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Option__Ooption_It__Num__Onum_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring case_nat_option_num:(option_num->((nat->option_num)->(nat->option_num)))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241a908>, <kernel.DependentProduct object at 0x241d050>) of role type named sy_c_Nat_Onat_Opred
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring pred:(nat->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241aea8>, <kernel.Constant object at 0x241d200>) of role type named sy_c_Nat_Osemiring__1__class_ONats_001t__Int__Oint
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring semiring_1_Nats_int:set_int
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241d0e0>, <kernel.DependentProduct object at 0x241d128>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241d1b8>, <kernel.DependentProduct object at 0x241d320>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241d248>, <kernel.DependentProduct object at 0x241d3b0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Extended____Nat__Oenat
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring semiri4216267220026989637d_enat:(nat->extended_enat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241d1b8>, <kernel.DependentProduct object at 0x241d440>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241d3b0>, <kernel.DependentProduct object at 0x241d4d0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241d440>, <kernel.DependentProduct object at 0x241d560>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241d4d0>, <kernel.DependentProduct object at 0x241d5f0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241d560>, <kernel.DependentProduct object at 0x241d200>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Complex__Ocomplex
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring semiri2816024913162550771omplex:((complex->complex)->(nat->(complex->complex)))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241d5f0>, <kernel.DependentProduct object at 0x241d6c8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Int__Oint
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring semiri8420488043553186161ux_int:((int->int)->(nat->(int->int)))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241d200>, <kernel.DependentProduct object at 0x241d758>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Nat__Onat
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring semiri8422978514062236437ux_nat:((nat->nat)->(nat->(nat->nat)))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241d6c8>, <kernel.DependentProduct object at 0x241d7e8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Rat__Orat
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring semiri7787848453975740701ux_rat:((rat->rat)->(nat->(rat->rat)))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241d758>, <kernel.DependentProduct object at 0x241d878>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Real__Oreal
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring semiri7260567687927622513x_real:((real->real)->(nat->(real->real)))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241d908>, <kernel.DependentProduct object at 0x241d9e0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring size_size_list_o:(list_o->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241d758>, <kernel.DependentProduct object at 0x241d998>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241d710>, <kernel.DependentProduct object at 0x241da28>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring size_size_list_int:(list_int->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241d758>, <kernel.DependentProduct object at 0x241da70>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__List__Olist_It__Nat__Onat_J_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring size_s3023201423986296836st_nat:(list_list_nat->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241d878>, <kernel.DependentProduct object at 0x241db00>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring size_size_list_nat:(list_nat->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241d998>, <kernel.DependentProduct object at 0x241db48>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Num__Onum_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring size_size_list_num:(list_num->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241d878>, <kernel.DependentProduct object at 0x241db90>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring size_s1515746228057227161od_o_o:(list_P4002435161011370285od_o_o->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241db48>, <kernel.DependentProduct object at 0x241dc20>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring size_s2953683556165314199_o_int:(list_P3795440434834930179_o_int->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241db90>, <kernel.DependentProduct object at 0x241dcb0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring size_s5443766701097040955_o_nat:(list_P6285523579766656935_o_nat->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241dc20>, <kernel.DependentProduct object at 0x241dd40>) 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
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring size_s4313452262239582901T_VEBT:(list_P7495141550334521929T_VEBT->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241dcb0>, <kernel.DependentProduct object at 0x241ddd0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring size_s6491369823275344609_nat_o:(list_P7333126701944960589_nat_o->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241dd40>, <kernel.DependentProduct object at 0x241de60>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring size_s2970893825323803983at_int:(list_P3521021558325789923at_int->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241ddd0>, <kernel.DependentProduct object at 0x241def0>) 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
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring size_s5460976970255530739at_nat:(list_P6011104703257516679at_nat->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241de60>, <kernel.DependentProduct object at 0x241df80>) 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
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring size_s4762443039079500285T_VEBT:(list_P5647936690300460905T_VEBT->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241def0>, <kernel.DependentProduct object at 0x242f050>) 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
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring size_s9168528473962070013VEBT_o:(list_P3126845725202233233VEBT_o->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241df80>, <kernel.DependentProduct object at 0x242f0e0>) 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
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring size_s3661962791536183091BT_int:(list_P4547456442757143711BT_int->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241ddd0>, <kernel.DependentProduct object at 0x242f170>) 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
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring size_s6152045936467909847BT_nat:(list_P7037539587688870467BT_nat->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241ddd0>, <kernel.DependentProduct object at 0x242f200>) 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
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring size_s7466405169056248089T_VEBT:(list_P7413028617227757229T_VEBT->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x241dfc8>, <kernel.DependentProduct object at 0x242f290>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring size_size_list_real:(list_real->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0x242f1b8>, <kernel.DependentProduct object at 0x242f2d8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring size_s3254054031482475050et_nat:(list_set_nat->nat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f200>, <kernel.DependentProduct object at 0x242f368>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x241df80>, <kernel.DependentProduct object at 0x242f3f8>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring size_size_num:(num->nat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f368>, <kernel.DependentProduct object at 0x242f440>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Nat__Onat_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring size_size_option_nat:(option_nat->nat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f2d8>, <kernel.DependentProduct object at 0x242f488>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring size_size_option_num:(option_num->nat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f368>, <kernel.DependentProduct object at 0x242f4d0>) 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
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f440>, <kernel.DependentProduct object at 0x242f560>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f290>, <kernel.DependentProduct object at 0x242f5f0>) of role type named sy_c_Nat__Bijection_Olist__encode
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring nat_list_encode:(list_nat->nat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f4d0>, <kernel.DependentProduct object at 0x242f368>) of role type named sy_c_Nat__Bijection_Olist__encode__rel
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring nat_list_encode_rel:(list_nat->(list_nat->Prop))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f1b8>, <kernel.DependentProduct object at 0x242f560>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f4d0>, <kernel.DependentProduct object at 0x242f1b8>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f128>, <kernel.DependentProduct object at 0x242f758>) of role type named sy_c_Nat__Bijection_Oprod__encode
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring nat_prod_encode:(product_prod_nat_nat->nat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f5f0>, <kernel.DependentProduct object at 0x242f7a0>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring nat_set_decode:(nat->set_nat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f440>, <kernel.DependentProduct object at 0x242f7e8>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring nat_set_encode:(set_nat->nat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f518>, <kernel.DependentProduct object at 0x242f830>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring nat_triangle:(nat->nat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f758>, <kernel.DependentProduct object at 0x242f560>) of role type named sy_c_NthRoot_Oroot
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring root:(nat->(real->real))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f5f0>, <kernel.DependentProduct object at 0x242f878>) of role type named sy_c_NthRoot_Osqrt
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring sqrt:(real->real)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f7a0>, <kernel.DependentProduct object at 0x242f830>) of role type named sy_c_Num_OBitM
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring bitM:(num->num)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f518>, <kernel.DependentProduct object at 0x242f908>) of role type named sy_c_Num_Oinc
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring inc:(num->num)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f7a0>, <kernel.DependentProduct object at 0x242f950>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f908>, <kernel.DependentProduct object at 0x242f9e0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f950>, <kernel.DependentProduct object at 0x242fa70>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f9e0>, <kernel.DependentProduct object at 0x242fb00>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242fa70>, <kernel.DependentProduct object at 0x242fb90>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f560>, <kernel.DependentProduct object at 0x242fb00>) of role type named sy_c_Num_Oneg__numeral__class_Osub_001t__Int__Oint
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring neg_numeral_sub_int:(num->(num->int))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242fc20>, <kernel.DependentProduct object at 0x242fc68>) of role type named sy_c_Num_Onum_OBit0
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring bit0:(num->num)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242fb48>, <kernel.DependentProduct object at 0x242fab8>) of role type named sy_c_Num_Onum_OBit1
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring bit1:(num->num)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242fb90>, <kernel.Constant object at 0x242fab8>) of role type named sy_c_Num_Onum_OOne
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring one:num
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242fc68>, <kernel.DependentProduct object at 0x242fdd0>) of role type named sy_c_Num_Onum_Ocase__num_001t__Option__Ooption_It__Num__Onum_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring case_num_option_num:(option_num->((num->option_num)->((num->option_num)->(num->option_num))))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242fd88>, <kernel.DependentProduct object at 0x242fd40>) of role type named sy_c_Num_Onum_Osize__num
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring size_num:(num->nat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242fa70>, <kernel.DependentProduct object at 0x242fb48>) of role type named sy_c_Num_Onum__of__nat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring num_of_nat:(nat->num)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242fd88>, <kernel.DependentProduct object at 0x242f560>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242fb48>, <kernel.DependentProduct object at 0x242fea8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring numera6690914467698888265omplex:(num->complex)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f560>, <kernel.DependentProduct object at 0x242ff38>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242fab8>, <kernel.DependentProduct object at 0x242ffc8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring numeral_numeral_int:(num->int)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242fef0>, <kernel.DependentProduct object at 0x2432050>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring numeral_numeral_nat:(num->nat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242fb00>, <kernel.DependentProduct object at 0x2432098>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring numeral_numeral_rat:(num->rat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242ffc8>, <kernel.DependentProduct object at 0x24320e0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring numeral_numeral_real:(num->real)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242ff38>, <kernel.DependentProduct object at 0x2432128>) of role type named sy_c_Num_Opred__numeral
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring pred_numeral:(num->nat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242fef0>, <kernel.Constant object at 0x242fab8>) of role type named sy_c_Option_Ooption_ONone_001t__Int__Oint
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring none_int:option_int
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242f368>, <kernel.Constant object at 0x2432128>) of role type named sy_c_Option_Ooption_ONone_001t__Nat__Onat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring none_nat:option_nat
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242fef0>, <kernel.Constant object at 0x24320e0>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring none_num:option_num
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x2432098>, <kernel.Constant object at 0x2432050>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242fef0>, <kernel.Constant object at 0x2432050>) of role type named sy_c_Option_Ooption_ONone_001t__Real__Oreal
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring none_real:option_real
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x242fef0>, <kernel.Constant object at 0x2432050>) of role type named sy_c_Option_Ooption_ONone_001t__Set__Oset_It__Nat__Onat_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring none_set_nat:option_set_nat
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x2432248>, <kernel.Constant object at 0x2432050>) of role type named sy_c_Option_Ooption_ONone_001t__VEBT____Definitions__OVEBT
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring none_VEBT_VEBT:option_VEBT_VEBT
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x24321b8>, <kernel.DependentProduct object at 0x24323b0>) of role type named sy_c_Option_Ooption_OSome_001_Eo
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring some_o:(Prop->option_o)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x2432248>, <kernel.DependentProduct object at 0x24323f8>) of role type named sy_c_Option_Ooption_OSome_001t__Int__Oint
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring some_int:(int->option_int)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x24323b0>, <kernel.DependentProduct object at 0x2432440>) of role type named sy_c_Option_Ooption_OSome_001t__Nat__Onat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring some_nat:(nat->option_nat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x24322d8>, <kernel.DependentProduct object at 0x2432488>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring some_num:(num->option_num)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x24323b0>, <kernel.DependentProduct object at 0x24322d8>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x24321b8>, <kernel.DependentProduct object at 0x2432560>) of role type named sy_c_Option_Ooption_OSome_001t__VEBT____Definitions__OVEBT
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring some_VEBT_VEBT:(vEBT_VEBT->option_VEBT_VEBT)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x24323b0>, <kernel.DependentProduct object at 0x24325a8>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0x24325f0>, <kernel.DependentProduct object at 0x24326c8>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x24323b0>, <kernel.DependentProduct object at 0x2432710>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432758>, <kernel.DependentProduct object at 0x2432638>) of role type named sy_c_Option_Ooption_Omap__option_001t__Num__Onum_001t__Num__Onum
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring map_option_num_num:((num->num)->(option_num->option_num))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x24326c8>, <kernel.DependentProduct object at 0x2432680>) of role type named sy_c_Option_Ooption_Osize__option_001t__Nat__Onat
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring size_option_nat:((nat->nat)->(option_nat->nat))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x24323b0>, <kernel.DependentProduct object at 0x24327a0>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x24326c8>, <kernel.DependentProduct object at 0x24321b8>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432758>, <kernel.DependentProduct object at 0x2432680>) of role type named sy_c_Option_Ooption_Othe_001t__Nat__Onat
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring the_nat:(option_nat->nat)
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432440>, <kernel.DependentProduct object at 0x24328c0>) of role type named sy_c_Option_Ooption_Othe_001t__Num__Onum
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring the_num:(option_num->num)
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432758>, <kernel.DependentProduct object at 0x2432908>) of role type named sy_c_Option_Ooption_Othe_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring the_Pr8591224930841456533at_nat:(option4927543243414619207at_nat->product_prod_nat_nat)
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432680>, <kernel.DependentProduct object at 0x24328c0>) of role type named sy_c_Order__Relation_OunderS_001t__Nat__Onat
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring order_underS_nat:(set_Pr1261947904930325089at_nat->(nat->set_nat))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432758>, <kernel.DependentProduct object at 0x2432440>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_I_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_M_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_M_Eo_J_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bo5358457235160185703eger_o:((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x24328c0>, <kernel.DependentProduct object at 0x24329e0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_I_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_M_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bo1403522918969695512_int_o:((int->option6357759511663192854e_term)->(product_prod_int_int->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432440>, <kernel.DependentProduct object at 0x24327a0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_M_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_M_Eo_J_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bo3000040243691356879eger_o:((produc6241069584506657477e_term->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x24329e0>, <kernel.DependentProduct object at 0x24326c8>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_I_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_M_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bo8662317086119403298_int_o:((produc8551481072490612790e_term->option6357759511663192854e_term)->(product_prod_int_int->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432b00>, <kernel.DependentProduct object at 0x24327a0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bot_int_int_o:(int->(int->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432440>, <kernel.DependentProduct object at 0x2432c68>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Int__Oint_M_Eo_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bot_int_o:(int->Prop)
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x24329e0>, <kernel.DependentProduct object at 0x2432c20>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bot_list_nat_o:(list_nat->Prop)
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432b00>, <kernel.DependentProduct object at 0x2432440>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bot_nat_nat_o:(nat->(nat->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432a28>, <kernel.DependentProduct object at 0x2432d40>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_Eo_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bot_nat_o:(nat->Prop)
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432b00>, <kernel.DependentProduct object at 0x2432cf8>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bo482883023278783056_nat_o:(product_prod_nat_nat->Prop)
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432a28>, <kernel.DependentProduct object at 0x2432dd0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Real__Oreal_M_Eo_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bot_real_o:(real->Prop)
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432d40>, <kernel.DependentProduct object at 0x2432e18>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bot_set_nat_o:(set_nat->Prop)
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432a28>, <kernel.Constant object at 0x2432cf8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Extended____Nat__Oenat
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bo4199563552545308370d_enat:extended_enat
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432dd0>, <kernel.Constant object at 0x2432cf8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bot_filter_nat:filter_nat
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432e60>, <kernel.Constant object at 0x2432cf8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bot_nat:nat
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432ea8>, <kernel.Constant object at 0x2432cf8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bot_set_complex:set_complex
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432ef0>, <kernel.Constant object at 0x2432cf8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bot_set_int:set_int
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432f38>, <kernel.Constant object at 0x2432cf8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bot_set_list_nat:set_list_nat
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432f80>, <kernel.Constant object at 0x2432cf8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bot_set_nat:set_nat
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432fc8>, <kernel.Constant object at 0x2432cf8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Num__Onum_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bot_set_num:set_num
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432fc8>, <kernel.Constant object at 0x2435050>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bo3145834390647256904nteger:set_Pr8056137968301705908nteger
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432fc8>, <kernel.Constant object at 0x2435098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bo4508923176915781079nt_int:set_Pr1872883991513573699nt_int
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2432f38>, <kernel.Constant object at 0x2435050>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bo5443222936135328352nteger:set_Pr1281608226676607948nteger
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2435098>, <kernel.Constant object at 0x2435200>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bo572930865798478029nt_int:set_Pr9222295170931077689nt_int
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2435290>, <kernel.Constant object at 0x2435098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bo1796632182523588997nt_int:set_Pr958786334691620121nt_int
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x24351b8>, <kernel.Constant object at 0x2435290>) 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
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bo2099793752762293965at_nat:set_Pr1261947904930325089at_nat
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2435320>, <kernel.Constant object at 0x24353b0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bo228742789529271731at_nat:set_Pr4329608150637261639at_nat
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2435440>, <kernel.Constant object at 0x24353b0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Rat__Orat_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bot_set_rat:set_rat
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2435488>, <kernel.Constant object at 0x24353b0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bot_set_real:set_real
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x24354d0>, <kernel.Constant object at 0x24353b0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bot_set_set_int:set_set_int
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2435518>, <kernel.Constant object at 0x24353b0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bot_set_set_nat:set_set_nat
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x24354d0>, <kernel.Constant object at 0x24353f8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring bot_bo8194388402131092736T_VEBT:set_VEBT_VEBT
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x24355a8>, <kernel.DependentProduct object at 0x2435758>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Int__Oint_M_Eo_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring ord_less_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x24353f8>, <kernel.DependentProduct object at 0x24357a0>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Nat__Onat_M_Eo_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring ord_less_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x24355a8>, <kernel.DependentProduct object at 0x24357e8>) 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
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring ord_le549003669493604880_nat_o:((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x24356c8>, <kernel.DependentProduct object at 0x2435878>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Real__Oreal_M_Eo_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring ord_less_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x24357e8>, <kernel.DependentProduct object at 0x24358c0>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring ord_less_set_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x24356c8>, <kernel.DependentProduct object at 0x24357e8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x24358c0>, <kernel.DependentProduct object at 0x24356c8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2435908>, <kernel.DependentProduct object at 0x24357e8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring ord_less_int:(int->(int->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2435998>, <kernel.DependentProduct object at 0x24358c0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2435878>, <kernel.DependentProduct object at 0x2435908>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring ord_less_num:(num->(num->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2435758>, <kernel.DependentProduct object at 0x2435998>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x24356c8>, <kernel.DependentProduct object at 0x2435878>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.62/0.85 Using role type
% 0.62/0.85 Declaring ord_less_real:(real->(real->Prop))
% 0.62/0.85 FOF formula (<kernel.Constant object at 0x2435758>, <kernel.DependentProduct object at 0x24356c8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.62/0.85 Using role type
% 0.62/0.86 Declaring ord_le1307284697595431911nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x24358c0>, <kernel.DependentProduct object at 0x2435878>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x2435b90>, <kernel.DependentProduct object at 0x2435758>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x2435998>, <kernel.DependentProduct object at 0x24358c0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x24357e8>, <kernel.DependentProduct object at 0x2435b90>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x2435998>, <kernel.DependentProduct object at 0x2435758>) 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
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_le7866589430770878221at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x2435b90>, <kernel.DependentProduct object at 0x2435878>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_le2604355607129572851at_nat:(set_Pr4329608150637261639at_nat->(set_Pr4329608150637261639at_nat->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x24357e8>, <kernel.DependentProduct object at 0x2435758>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x2435dd0>, <kernel.DependentProduct object at 0x2435b90>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x2435d40>, <kernel.DependentProduct object at 0x24357e8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_less_set_set_int:(set_set_int->(set_set_int->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x24358c0>, <kernel.DependentProduct object at 0x2435dd0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_less_set_set_nat:(set_set_nat->(set_set_nat->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x2435d40>, <kernel.DependentProduct object at 0x2435e18>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_M_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_M_Eo_J_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_le3636971675376928563eger_o:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))->(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x2435dd0>, <kernel.DependentProduct object at 0x2435d40>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_M_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_le2124322318746777828_int_o:(((int->option6357759511663192854e_term)->(product_prod_int_int->Prop))->(((int->option6357759511663192854e_term)->(product_prod_int_int->Prop))->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x2435e18>, <kernel.DependentProduct object at 0x2437098>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_M_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_M_Eo_J_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_le4340812435750786203eger_o:(((produc6241069584506657477e_term->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))->(((produc6241069584506657477e_term->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x2435d40>, <kernel.DependentProduct object at 0x24371b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_M_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_le5643404153117327598_int_o:(((produc8551481072490612790e_term->option6357759511663192854e_term)->(product_prod_int_int->Prop))->(((produc8551481072490612790e_term->option6357759511663192854e_term)->(product_prod_int_int->Prop))->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x2435d40>, <kernel.DependentProduct object at 0x2437098>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_le6741204236512500942_int_o:((int->(int->Prop))->((int->(int->Prop))->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x24358c0>, <kernel.DependentProduct object at 0x2437248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_Eo_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_less_eq_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x2437170>, <kernel.DependentProduct object at 0x24371b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_le2646555220125990790_nat_o:((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x2435e18>, <kernel.DependentProduct object at 0x2437320>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_Eo_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_less_eq_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x2437290>, <kernel.DependentProduct object at 0x24373b0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_le704812498762024988_nat_o:((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x24372d8>, <kernel.DependentProduct object at 0x2437440>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Real__Oreal_M_Eo_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_less_eq_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x2437290>, <kernel.DependentProduct object at 0x2437488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_le3964352015994296041_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x2437440>, <kernel.DependentProduct object at 0x2437290>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.62/0.86 Using role type
% 0.62/0.86 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.62/0.86 FOF formula (<kernel.Constant object at 0x2437488>, <kernel.DependentProduct object at 0x2437440>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437290>, <kernel.DependentProduct object at 0x2437488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le2510731241096832064er_nat:(filter_nat->(filter_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x24375a8>, <kernel.DependentProduct object at 0x2437440>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437638>, <kernel.DependentProduct object at 0x2437290>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x24371b8>, <kernel.DependentProduct object at 0x24375a8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437518>, <kernel.DependentProduct object at 0x2437638>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437488>, <kernel.DependentProduct object at 0x24371b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437440>, <kernel.DependentProduct object at 0x2437518>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_Eo_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_set_o:(set_o->(set_o->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437488>, <kernel.DependentProduct object at 0x2437440>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le7084787975880047091nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437518>, <kernel.DependentProduct object at 0x2437488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437878>, <kernel.DependentProduct object at 0x2437440>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437518>, <kernel.DependentProduct object at 0x2437878>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le6045566169113846134st_nat:(set_list_nat->(set_list_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437290>, <kernel.DependentProduct object at 0x2437440>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x24379e0>, <kernel.DependentProduct object at 0x2437518>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Num__Onum_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_set_num:(set_num->(set_num->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437290>, <kernel.DependentProduct object at 0x2437878>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le3216752416896350996nteger:(set_Pr8056137968301705908nteger->(set_Pr8056137968301705908nteger->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437518>, <kernel.DependentProduct object at 0x2437908>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le135402666524580259nt_int:(set_Pr1872883991513573699nt_int->(set_Pr1872883991513573699nt_int->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437878>, <kernel.DependentProduct object at 0x2437b00>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le653643898420964396nteger:(set_Pr1281608226676607948nteger->(set_Pr1281608226676607948nteger->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437908>, <kernel.DependentProduct object at 0x2437b90>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le8725513860283290265nt_int:(set_Pr9222295170931077689nt_int->(set_Pr9222295170931077689nt_int->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437b00>, <kernel.DependentProduct object at 0x2437c20>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le2843351958646193337nt_int:(set_Pr958786334691620121nt_int->(set_Pr958786334691620121nt_int->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437b90>, <kernel.DependentProduct object at 0x2437cb0>) 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
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le3146513528884898305at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437c20>, <kernel.DependentProduct object at 0x2437d40>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le1268244103169919719at_nat:(set_Pr4329608150637261639at_nat->(set_Pr4329608150637261639at_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437b00>, <kernel.DependentProduct object at 0x2437cb0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Rat__Orat_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_set_rat:(set_rat->(set_rat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437e60>, <kernel.DependentProduct object at 0x2437c20>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437b00>, <kernel.DependentProduct object at 0x2437e60>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le4403425263959731960et_int:(set_set_int->(set_set_int->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437c20>, <kernel.DependentProduct object at 0x2437b00>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le6893508408891458716et_nat:(set_set_nat->(set_set_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437e60>, <kernel.DependentProduct object at 0x243a050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437fc8>, <kernel.DependentProduct object at 0x2437f80>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_max_int:(int->(int->int))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437b00>, <kernel.DependentProduct object at 0x243a1b8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_max_nat:(nat->(nat->nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437fc8>, <kernel.DependentProduct object at 0x243a200>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Int__Oint
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_min_int:(int->(int->int))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437f80>, <kernel.DependentProduct object at 0x243a248>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_min_nat:(nat->(nat->nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437fc8>, <kernel.DependentProduct object at 0x243a1b8>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring order_Greatest_nat:((nat->Prop)->nat)
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x2437f80>, <kernel.DependentProduct object at 0x243a050>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x243a248>, <kernel.DependentProduct object at 0x243a290>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring order_5726023648592871131at_nat:((nat->nat)->Prop)
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x243a170>, <kernel.DependentProduct object at 0x243a320>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Real__Oreal_001t__Real__Oreal
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring order_7092887310737990675l_real:((real->real)->Prop)
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x243a128>, <kernel.Constant object at 0x243a320>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Int__Oint_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring top_top_set_int:set_int
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x243a290>, <kernel.Constant object at 0x243a320>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring top_top_set_nat:set_nat
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x243a050>, <kernel.Constant object at 0x243a320>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring top_top_set_real:set_real
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x243a290>, <kernel.DependentProduct object at 0x243a050>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x243a4d0>, <kernel.DependentProduct object at 0x243a320>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring power_power_complex:(complex->(nat->complex))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x243a290>, <kernel.DependentProduct object at 0x243a4d0>) of role type named sy_c_Power_Opower__class_Opower_001t__Extended____Nat__Oenat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring power_8040749407984259932d_enat:(extended_enat->(nat->extended_enat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x243a5a8>, <kernel.DependentProduct object at 0x243a320>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring power_power_int:(int->(nat->int))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x243a3b0>, <kernel.DependentProduct object at 0x243a290>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring power_power_nat:(nat->(nat->nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x243a680>, <kernel.DependentProduct object at 0x243a5a8>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring power_power_rat:(rat->(nat->rat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x243a050>, <kernel.DependentProduct object at 0x243a3b0>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring power_power_real:(real->(nat->real))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x243a680>, <kernel.DependentProduct object at 0x243a290>) of role type named sy_c_Product__Type_OPair_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring produc6137756002093451184nteger:((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->produc8763457246119570046nteger))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x243a3b0>, <kernel.DependentProduct object at 0x243a320>) of role type named sy_c_Product__Type_OPair_001_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring produc4305682042979456191nt_int:((int->option6357759511663192854e_term)->(product_prod_int_int->produc7773217078559923341nt_int))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x243a290>, <kernel.DependentProduct object at 0x243a638>) 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
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring produc4035269172776083154on_nat:((nat->(nat->Prop))->(produc4953844613479565601on_nat->produc2233624965454879586on_nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x243a320>, <kernel.DependentProduct object at 0x243a5a8>) 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
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring produc8929957630744042906on_nat:((nat->(nat->nat))->(produc4953844613479565601on_nat->produc8306885398267862888on_nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x243a638>, <kernel.DependentProduct object at 0x243a8c0>) 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
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring produc3576312749637752826on_num:((num->(num->Prop))->(produc3447558737645232053on_num->produc7036089656553540234on_num))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x243a5a8>, <kernel.DependentProduct object at 0x243a998>) 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
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring produc5778274026573060048on_num:((num->(num->num))->(produc3447558737645232053on_num->produc1193250871479095198on_num))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x243a8c0>, <kernel.DependentProduct object at 0x243aa70>) of role type named sy_c_Product__Type_OPair_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring produc8603105652947943368nteger:((produc6241069584506657477e_term->option6357759511663192854e_term)->(produc8923325533196201883nteger->produc1908205239877642774nteger))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x243a998>, <kernel.DependentProduct object at 0x243a9e0>) of role type named sy_c_Product__Type_OPair_001_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc5700946648718959541nt_int:((produc8551481072490612790e_term->option6357759511663192854e_term)->(product_prod_int_int->produc2285326912895808259nt_int))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243aa70>, <kernel.DependentProduct object at 0x243a7e8>) 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
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc3994169339658061776at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(produc6121120109295599847at_nat->produc5491161045314408544at_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243a9e0>, <kernel.DependentProduct object at 0x243ab00>) 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
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc2899441246263362727at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(produc6121120109295599847at_nat->produc5542196010084753463at_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243acb0>, <kernel.DependentProduct object at 0x243a950>) of role type named sy_c_Product__Type_OPair_001_Eo_001_Eo
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring product_Pair_o_o:(Prop->(Prop->product_prod_o_o))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243ac20>, <kernel.DependentProduct object at 0x243a950>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Int__Oint
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring product_Pair_o_int:(Prop->(int->product_prod_o_int))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243ab00>, <kernel.DependentProduct object at 0x243a950>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring product_Pair_o_nat:(Prop->(nat->product_prod_o_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243ad40>, <kernel.DependentProduct object at 0x243a950>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring product_Pair_o_real:(Prop->(real->product_prod_o_real))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243ab00>, <kernel.DependentProduct object at 0x243ab90>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc2982872950893828659T_VEBT:(Prop->(vEBT_VEBT->produc2504756804600209347T_VEBT))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243a950>, <kernel.DependentProduct object at 0x243aef0>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243ab90>, <kernel.DependentProduct object at 0x243a950>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243af80>, <kernel.DependentProduct object at 0x243aef0>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243ab90>, <kernel.DependentProduct object at 0x243af80>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc801115645435158769t_real:(int->(real->produc679980390762269497t_real))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243aef0>, <kernel.DependentProduct object at 0x243c0e0>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__VEBT____Definitions__OVEBT
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc3329399203697025711T_VEBT:(int->(vEBT_VEBT->produc1531783533982839933T_VEBT))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243af80>, <kernel.DependentProduct object at 0x243c170>) of role type named sy_c_Product__Type_OPair_001t__List__Olist_I_Eo_J_001t__List__Olist_I_Eo_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc8435520187683070743list_o:(list_o->(list_o->produc7102631898165422375list_o))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243af80>, <kernel.DependentProduct object at 0x243c200>) of role type named sy_c_Product__Type_OPair_001t__List__Olist_It__Int__Oint_J_001t__List__Olist_It__Int__Oint_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc364263696895485585st_int:(list_int->(list_int->produc1186641810826059865st_int))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243a950>, <kernel.DependentProduct object at 0x243c290>) of role type named sy_c_Product__Type_OPair_001t__List__Olist_It__Nat__Onat_J_001t__List__Olist_It__Nat__Onat_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc2694037385005941721st_nat:(list_nat->(list_nat->produc1828647624359046049st_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c248>, <kernel.DependentProduct object at 0x243c320>) of role type named sy_c_Product__Type_OPair_001t__List__Olist_It__VEBT____Definitions__OVEBT_J_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc3897820843166775703T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->produc9211091688327510695T_VEBT))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243a950>, <kernel.DependentProduct object at 0x243c098>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001_Eo
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring product_Pair_nat_o:(nat->(Prop->product_prod_nat_o))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243a950>, <kernel.DependentProduct object at 0x243c290>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Int__Oint
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring product_Pair_nat_int:(nat->(int->product_prod_nat_int))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c368>, <kernel.DependentProduct object at 0x243c3b0>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c440>, <kernel.DependentProduct object at 0x243c248>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Num__Onum
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring product_Pair_nat_num:(nat->(num->product_prod_nat_num))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c368>, <kernel.DependentProduct object at 0x243c440>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc599794634098209291T_VEBT:(nat->(vEBT_VEBT->produc8025551001238799321T_VEBT))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c098>, <kernel.DependentProduct object at 0x243c248>) of role type named sy_c_Product__Type_OPair_001t__Num__Onum_001t__Num__Onum
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring product_Pair_num_num:(num->(num->product_prod_num_num))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c368>, <kernel.DependentProduct object at 0x243c098>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Nat__Onat_J_001t__Option__Ooption_It__Nat__Onat_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc5098337634421038937on_nat:(option_nat->(option_nat->produc4953844613479565601on_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c248>, <kernel.DependentProduct object at 0x243c368>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Num__Onum_J_001t__Option__Ooption_It__Num__Onum_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc8585076106096196333on_num:(option_num->(option_num->produc3447558737645232053on_num))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c098>, <kernel.DependentProduct object at 0x243c050>) 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
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc488173922507101015at_nat:(option4927543243414619207at_nat->(option4927543243414619207at_nat->produc6121120109295599847at_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c368>, <kernel.DependentProduct object at 0x243c098>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc6161850002892822231at_nat:(product_prod_nat_nat->(product_prod_nat_nat->produc859450856879609959at_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c7a0>, <kernel.DependentProduct object at 0x243c248>) of role type named sy_c_Product__Type_OPair_001t__Real__Oreal_001_Eo
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring product_Pair_real_o:(real->(Prop->product_prod_real_o))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c368>, <kernel.DependentProduct object at 0x243c7a0>) of role type named sy_c_Product__Type_OPair_001t__Real__Oreal_001t__Int__Oint
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc3179012173361985393al_int:(real->(int->produc8786904178792722361al_int))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c248>, <kernel.DependentProduct object at 0x243c368>) of role type named sy_c_Product__Type_OPair_001t__Real__Oreal_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc3181502643871035669al_nat:(real->(nat->produc3741383161447143261al_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c7a0>, <kernel.DependentProduct object at 0x243c248>) of role type named sy_c_Product__Type_OPair_001t__Real__Oreal_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc4511245868158468465l_real:(real->(real->produc2422161461964618553l_real))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c368>, <kernel.DependentProduct object at 0x243c7a0>) of role type named sy_c_Product__Type_OPair_001t__Real__Oreal_001t__VEBT____Definitions__OVEBT
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc6931449550656315951T_VEBT:(real->(vEBT_VEBT->produc3757001726724277373T_VEBT))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c248>, <kernel.DependentProduct object at 0x243c368>) of role type named sy_c_Product__Type_OPair_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Nat__Onat_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc4532415448927165861et_nat:(set_nat->(set_nat->produc7819656566062154093et_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c7a0>, <kernel.DependentProduct object at 0x243c908>) of role type named sy_c_Product__Type_OPair_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc2922128104949294807at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->produc3843707927480180839at_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c368>, <kernel.DependentProduct object at 0x243ca28>) of role type named sy_c_Product__Type_OPair_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc9060074326276436823at_nat:(set_Pr4329608150637261639at_nat->(set_Pr4329608150637261639at_nat->produc1319942482725812455at_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c908>, <kernel.DependentProduct object at 0x243cc68>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243ca28>, <kernel.DependentProduct object at 0x243c908>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc736041933913180425BT_int:(vEBT_VEBT->(int->produc4894624898956917775BT_int))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243cc68>, <kernel.DependentProduct object at 0x243ca28>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c908>, <kernel.DependentProduct object at 0x243cc68>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc8117437818029410057T_real:(vEBT_VEBT->(real->produc5170161368751668367T_real))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243ca28>, <kernel.DependentProduct object at 0x243c908>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243cc68>, <kernel.DependentProduct object at 0x243cf80>) of role type named sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc457027306803732586at_nat:(set_nat->((nat->set_nat)->set_Pr1261947904930325089at_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243c908>, <kernel.DependentProduct object at 0x243cd88>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243cf80>, <kernel.DependentProduct object at 0x243cea8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_Eo
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc127349428274296955eger_o:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))->(produc8763457246119570046nteger->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243cd88>, <kernel.DependentProduct object at 0x243f128>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Product____Type__Oprod_I_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc3906647086178084059nteger:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->produc8763457246119570046nteger))->(produc8763457246119570046nteger->produc8763457246119570046nteger))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243cea8>, <kernel.DependentProduct object at 0x243f200>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Set__Oset_It__Int__Oint_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring produc8604463032469472703et_int:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->set_int))->(produc8763457246119570046nteger->set_int))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x243cea8>, <kernel.DependentProduct object at 0x243f290>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Set__Oset_It__Nat__Onat_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc3558942015123893603et_nat:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->set_nat))->(produc8763457246119570046nteger->set_nat))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243cf38>, <kernel.DependentProduct object at 0x243f320>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Set__Oset_It__Real__Oreal_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc815715089573277247t_real:(((code_integer->option6357759511663192854e_term)->(produc8923325533196201883nteger->set_real))->(produc8763457246119570046nteger->set_real))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243f200>, <kernel.DependentProduct object at 0x243f050>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc2558449545302689196_int_o:(((int->option6357759511663192854e_term)->(product_prod_int_int->Prop))->(produc7773217078559923341nt_int->Prop))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243f098>, <kernel.DependentProduct object at 0x243f320>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_I_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc5122537100556696953nt_int:(((int->option6357759511663192854e_term)->(product_prod_int_int->produc7773217078559923341nt_int))->(produc7773217078559923341nt_int->produc7773217078559923341nt_int))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243f290>, <kernel.DependentProduct object at 0x243f4d0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Set__Oset_It__Nat__Onat_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc8289552606927098482et_nat:(((int->option6357759511663192854e_term)->(product_prod_int_int->set_nat))->(produc7773217078559923341nt_int->set_nat))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243f440>, <kernel.DependentProduct object at 0x243f290>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Set__Oset_It__Real__Oreal_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc8709739885379107790t_real:(((int->option6357759511663192854e_term)->(product_prod_int_int->set_real))->(produc7773217078559923341nt_int->set_real))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243f4d0>, <kernel.DependentProduct object at 0x243f440>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_Eo
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc6253627499356882019eger_o:(((produc6241069584506657477e_term->option6357759511663192854e_term)->(produc8923325533196201883nteger->Prop))->(produc1908205239877642774nteger->Prop))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243f290>, <kernel.DependentProduct object at 0x243f4d0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc6512950862096126219nteger:(((produc6241069584506657477e_term->option6357759511663192854e_term)->(produc8923325533196201883nteger->produc1908205239877642774nteger))->(produc1908205239877642774nteger->produc1908205239877642774nteger))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243f440>, <kernel.DependentProduct object at 0x243f290>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc1573362020775583542_int_o:(((produc8551481072490612790e_term->option6357759511663192854e_term)->(product_prod_int_int->Prop))->(produc2285326912895808259nt_int->Prop))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243f4d0>, <kernel.DependentProduct object at 0x243f440>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc8492565224438309093nt_int:(((produc8551481072490612790e_term->option6357759511663192854e_term)->(product_prod_int_int->produc2285326912895808259nt_int))->(produc2285326912895808259nt_int->produc2285326912895808259nt_int))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243f290>, <kernel.DependentProduct object at 0x243f560>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243f440>, <kernel.DependentProduct object at 0x243f5f0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243f560>, <kernel.DependentProduct object at 0x243f488>) 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
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243f5f0>, <kernel.DependentProduct object at 0x243f7a0>) 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
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243f488>, <kernel.DependentProduct object at 0x243f758>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Complex__Ocomplex_001t__Complex__Ocomplex_001_Eo
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc6771430404735790350plex_o:((complex->(complex->Prop))->(produc4411394909380815293omplex->Prop))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243f7a0>, <kernel.DependentProduct object at 0x243f998>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243f758>, <kernel.DependentProduct object at 0x243fb00>) 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
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243f998>, <kernel.DependentProduct object at 0x243fab8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Int__Oint_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc73460835934605544et_int:((int->(int->set_int))->(product_prod_int_int->set_int))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243fb00>, <kernel.DependentProduct object at 0x243fb48>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Nat__Onat_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc4251311855443802252et_nat:((int->(int->set_nat))->(product_prod_int_int->set_nat))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243fab8>, <kernel.DependentProduct object at 0x243fcf8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc1656060378719767003at_nat:((int->(int->set_Pr1261947904930325089at_nat))->(product_prod_int_int->set_Pr1261947904930325089at_nat))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243fb48>, <kernel.DependentProduct object at 0x243fcb0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Real__Oreal_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc6452406959799940328t_real:((int->(int->set_real))->(product_prod_int_int->set_real))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243fcf8>, <kernel.DependentProduct object at 0x243fbd8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc5233655623923918146et_nat:((int->(int->set_set_nat))->(product_prod_int_int->set_set_nat))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243fcb0>, <kernel.DependentProduct object at 0x243fea8>) 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
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring produc8739625826339149834_nat_o:((nat->(nat->(product_prod_nat_nat->Prop)))->(product_prod_nat_nat->(product_prod_nat_nat->Prop)))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x243fbd8>, <kernel.DependentProduct object at 0x243ff38>) 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
% 0.70/0.90 Using role type
% 0.70/0.90 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)))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x243fea8>, <kernel.DependentProduct object at 0x243f908>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x243ff38>, <kernel.DependentProduct object at 0x243ffc8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring produc1917071388513777916omplex:((nat->(nat->complex))->(product_prod_nat_nat->complex))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x243f908>, <kernel.DependentProduct object at 0x243ff38>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Extended____Nat__Oenat
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring produc2676513652042109336d_enat:((nat->(nat->extended_enat))->(product_prod_nat_nat->extended_enat))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x243f908>, <kernel.DependentProduct object at 0x2441128>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring produc6840382203811409530at_int:((nat->(nat->int))->(product_prod_nat_nat->int))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x243f908>, <kernel.DependentProduct object at 0x2441170>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring produc6842872674320459806at_nat:((nat->(nat->nat))->(product_prod_nat_nat->nat))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x243fea8>, <kernel.DependentProduct object at 0x2441050>) 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
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x24411b8>, <kernel.DependentProduct object at 0x2441098>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Rat__Orat
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring produc6207742614233964070at_rat:((nat->(nat->rat))->(product_prod_nat_nat->rat))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x24413b0>, <kernel.DependentProduct object at 0x2441320>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Real__Oreal
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring produc1703576794950452218t_real:((nat->(nat->real))->(product_prod_nat_nat->real))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441248>, <kernel.DependentProduct object at 0x24411b8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Option__Ooption_It__Num__Onum_J
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring produc478579273971653890on_num:((nat->(num->option_num))->(product_prod_nat_num->option_num))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441440>, <kernel.DependentProduct object at 0x2441170>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Real__Oreal_001t__Real__Oreal_001_Eo
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring produc5414030515140494994real_o:((real->(real->Prop))->(produc2422161461964618553l_real->Prop))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x24414d0>, <kernel.DependentProduct object at 0x2441560>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441128>, <kernel.DependentProduct object at 0x24415a8>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x24413f8>, <kernel.DependentProduct object at 0x24415f0>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441170>, <kernel.DependentProduct object at 0x2441638>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441560>, <kernel.DependentProduct object at 0x24413f8>) of role type named sy_c_Rat_OFract
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring fract:(int->(int->rat))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441680>, <kernel.DependentProduct object at 0x24416c8>) of role type named sy_c_Rat_OFrct
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring frct:(product_prod_int_int->rat)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x24415f0>, <kernel.DependentProduct object at 0x24415a8>) of role type named sy_c_Rat_ORep__Rat
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring rep_Rat:(rat->product_prod_int_int)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441680>, <kernel.Constant object at 0x24413f8>) of role type named sy_c_Rat_Ofield__char__0__class_ORats_001t__Real__Oreal
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring field_5140801741446780682s_real:set_real
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x24416c8>, <kernel.DependentProduct object at 0x24417e8>) of role type named sy_c_Rat_Onormalize
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441638>, <kernel.DependentProduct object at 0x2441830>) of role type named sy_c_Rat_Oof__int
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring of_int:(int->rat)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441560>, <kernel.DependentProduct object at 0x2441680>) of role type named sy_c_Rat_Opositive
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring positive:(rat->Prop)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x24416c8>, <kernel.DependentProduct object at 0x24418c0>) of role type named sy_c_Rat_Oquotient__of
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring quotient_of:(rat->product_prod_int_int)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441560>, <kernel.DependentProduct object at 0x24416c8>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Complex__Ocomplex
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring real_V3694042436643373181omplex:(complex->(complex->real))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x24418c0>, <kernel.DependentProduct object at 0x2441560>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Real__Oreal
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring real_V975177566351809787t_real:(real->(real->real))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x24416c8>, <kernel.DependentProduct object at 0x2441908>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441560>, <kernel.DependentProduct object at 0x2441ab8>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring real_V7735802525324610683m_real:(real->real)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441908>, <kernel.DependentProduct object at 0x2441b48>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441ab8>, <kernel.DependentProduct object at 0x2441bd8>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Real__Oreal
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring real_V1803761363581548252l_real:(real->real)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x24417e8>, <kernel.DependentProduct object at 0x2441c68>) of role type named sy_c_Relation_OField_001t__Nat__Onat
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring field_nat:(set_Pr1261947904930325089at_nat->set_nat)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441ab8>, <kernel.DependentProduct object at 0x24417e8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441c68>, <kernel.DependentProduct object at 0x2441ab8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441b90>, <kernel.DependentProduct object at 0x24417e8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring divide_divide_int:(int->(int->int))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441cb0>, <kernel.DependentProduct object at 0x2441c68>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441e18>, <kernel.DependentProduct object at 0x2441b90>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441c20>, <kernel.DependentProduct object at 0x2441cb0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring divide_divide_real:(real->(real->real))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441d40>, <kernel.DependentProduct object at 0x2441e18>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441dd0>, <kernel.DependentProduct object at 0x2441c20>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441c68>, <kernel.DependentProduct object at 0x2441d40>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441b90>, <kernel.DependentProduct object at 0x2441dd0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441cb0>, <kernel.DependentProduct object at 0x2441c68>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441e18>, <kernel.DependentProduct object at 0x2444098>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441cb0>, <kernel.DependentProduct object at 0x2441c20>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441c68>, <kernel.DependentProduct object at 0x24440e0>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring modulo_modulo_int:(int->(int->int))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441cb0>, <kernel.DependentProduct object at 0x2444200>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2441c68>, <kernel.DependentProduct object at 0x2444248>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2444170>, <kernel.DependentProduct object at 0x24440e0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2444248>, <kernel.DependentProduct object at 0x24442d8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x24440e0>, <kernel.DependentProduct object at 0x2444368>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x24442d8>, <kernel.DependentProduct object at 0x24443f8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444368>, <kernel.DependentProduct object at 0x2444488>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2441c20>, <kernel.DependentProduct object at 0x24443f8>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring suminf_complex:((nat->complex)->complex)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444440>, <kernel.DependentProduct object at 0x2444368>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring suminf_int:((nat->int)->int)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x24444d0>, <kernel.DependentProduct object at 0x24443f8>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring suminf_nat:((nat->nat)->nat)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x24445a8>, <kernel.DependentProduct object at 0x2444050>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring suminf_real:((nat->real)->real)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444638>, <kernel.DependentProduct object at 0x24443f8>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring summable_complex:((nat->complex)->Prop)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x24445f0>, <kernel.DependentProduct object at 0x2444440>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring summable_int:((nat->int)->Prop)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444518>, <kernel.DependentProduct object at 0x24445a8>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring summable_nat:((nat->nat)->Prop)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444680>, <kernel.DependentProduct object at 0x2444638>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring summable_real:((nat->real)->Prop)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x24446c8>, <kernel.DependentProduct object at 0x2444710>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x24442d8>, <kernel.DependentProduct object at 0x24447a0>) of role type named sy_c_Series_Osums_001t__Int__Oint
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring sums_int:((nat->int)->(int->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444638>, <kernel.DependentProduct object at 0x24445a8>) of role type named sy_c_Series_Osums_001t__Nat__Onat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring sums_nat:((nat->nat)->(nat->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444758>, <kernel.DependentProduct object at 0x2444830>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring sums_real:((nat->real)->(real->Prop))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x24445a8>, <kernel.DependentProduct object at 0x2444908>) of role type named sy_c_Set_OCollect_001_Eo
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collect_o:((Prop->Prop)->set_o)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444680>, <kernel.DependentProduct object at 0x24442d8>) of role type named sy_c_Set_OCollect_001t__Code____Numeral__Ointeger
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collect_Code_integer:((code_integer->Prop)->set_Code_integer)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444830>, <kernel.DependentProduct object at 0x2444950>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x24447a0>, <kernel.DependentProduct object at 0x24449e0>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collect_int:((int->Prop)->set_int)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444638>, <kernel.DependentProduct object at 0x2444830>) of role type named sy_c_Set_OCollect_001t__List__Olist_I_Eo_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collect_list_o:((list_o->Prop)->set_list_o)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x24449e0>, <kernel.DependentProduct object at 0x2444a28>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Complex__Ocomplex_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collect_list_complex:((list_complex->Prop)->set_list_complex)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x24447e8>, <kernel.DependentProduct object at 0x2444a70>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Int__Oint_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collect_list_int:((list_int->Prop)->set_list_int)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x24445a8>, <kernel.DependentProduct object at 0x2444ab8>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x24447e8>, <kernel.DependentProduct object at 0x24445a8>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collec3343600615725829874at_nat:((list_P6011104703257516679at_nat->Prop)->set_li5450038453877631591at_nat)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444ab8>, <kernel.DependentProduct object at 0x2444b90>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collec5608196760682091941T_VEBT:((list_VEBT_VEBT->Prop)->set_list_VEBT_VEBT)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444710>, <kernel.DependentProduct object at 0x2444c68>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444638>, <kernel.DependentProduct object at 0x2444cb0>) of role type named sy_c_Set_OCollect_001t__Num__Onum
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collect_num:((num->Prop)->set_num)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x24445a8>, <kernel.DependentProduct object at 0x2444710>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collec8663557070575231912omplex:((produc4411394909380815293omplex->Prop)->set_Pr5085853215250843933omplex)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444638>, <kernel.DependentProduct object at 0x24445a8>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444710>, <kernel.DependentProduct object at 0x2444638>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collec3392354462482085612at_nat:((product_prod_nat_nat->Prop)->set_Pr1261947904930325089at_nat)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x24445a8>, <kernel.DependentProduct object at 0x2444710>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collec3799799289383736868l_real:((produc2422161461964618553l_real->Prop)->set_Pr6218003697084177305l_real)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444638>, <kernel.DependentProduct object at 0x24445a8>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collec6321179662152712658at_nat:((produc3843707927480180839at_nat->Prop)->set_Pr4329608150637261639at_nat)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444680>, <kernel.DependentProduct object at 0x2444fc8>) of role type named sy_c_Set_OCollect_001t__Rat__Orat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collect_rat:((rat->Prop)->set_rat)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444e60>, <kernel.DependentProduct object at 0x2446050>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collect_real:((real->Prop)->set_real)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444ab8>, <kernel.DependentProduct object at 0x2446050>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collect_set_complex:((set_complex->Prop)->set_set_complex)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444f80>, <kernel.DependentProduct object at 0x2446098>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Int__Oint_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collect_set_int:((set_int->Prop)->set_set_int)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x24445a8>, <kernel.DependentProduct object at 0x24460e0>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collect_set_nat:((set_nat->Prop)->set_set_nat)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444f80>, <kernel.DependentProduct object at 0x24460e0>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collec5514110066124741708at_nat:((set_Pr1261947904930325089at_nat->Prop)->set_se7855581050983116737at_nat)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444ab8>, <kernel.DependentProduct object at 0x24461b8>) of role type named sy_c_Set_OCollect_001t__VEBT____Definitions__OVEBT
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring collect_VEBT_VEBT:((vEBT_VEBT->Prop)->set_VEBT_VEBT)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444710>, <kernel.DependentProduct object at 0x2446248>) of role type named sy_c_Set_OPow_001t__Nat__Onat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring pow_nat:(set_nat->set_set_nat)
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444680>, <kernel.DependentProduct object at 0x2446248>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444710>, <kernel.DependentProduct object at 0x2446170>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Nat__Onat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring image_int_nat:((int->nat)->(set_int->set_nat))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2444710>, <kernel.DependentProduct object at 0x2446098>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Int__Oint
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring image_nat_int:((nat->int)->(set_nat->set_int))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2446200>, <kernel.DependentProduct object at 0x2446290>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2446050>, <kernel.DependentProduct object at 0x24461b8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring image_nat_set_nat:((nat->set_nat)->(set_nat->set_set_nat))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2446200>, <kernel.DependentProduct object at 0x2446128>) 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
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring image_5971271580939081552omplex:((real->filter6041513312241820739omplex)->(set_real->set_fi4554929511873752355omplex))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x24461b8>, <kernel.DependentProduct object at 0x2446098>) 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
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring image_2178119161166701260l_real:((real->filter2146258269922977983l_real)->(set_real->set_fi7789364187291644575l_real))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2446488>, <kernel.DependentProduct object at 0x24460e0>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.73/0.91 Using role type
% 0.73/0.91 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.73/0.91 FOF formula (<kernel.Constant object at 0x2446128>, <kernel.DependentProduct object at 0x24461b8>) of role type named sy_c_Set_Oinsert_001t__Complex__Ocomplex
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring insert_complex:(complex->(set_complex->set_complex))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x24462d8>, <kernel.DependentProduct object at 0x2446128>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring insert_int:(int->(set_int->set_int))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446248>, <kernel.DependentProduct object at 0x2446488>) of role type named sy_c_Set_Oinsert_001t__List__Olist_It__Nat__Onat_J
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring insert_list_nat:(list_nat->(set_list_nat->set_list_nat))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446518>, <kernel.DependentProduct object at 0x2446248>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446638>, <kernel.DependentProduct object at 0x2446488>) of role type named sy_c_Set_Oinsert_001t__Num__Onum
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring insert_num:(num->(set_num->set_num))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x24461b8>, <kernel.DependentProduct object at 0x2446248>) of role type named sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring insert8211810215607154385at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446638>, <kernel.DependentProduct object at 0x2446098>) of role type named sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring insert9069300056098147895at_nat:(produc3843707927480180839at_nat->(set_Pr4329608150637261639at_nat->set_Pr4329608150637261639at_nat))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446128>, <kernel.DependentProduct object at 0x2446638>) of role type named sy_c_Set_Oinsert_001t__Rat__Orat
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring insert_rat:(rat->(set_rat->set_rat))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446758>, <kernel.DependentProduct object at 0x2446098>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring insert_real:(real->(set_real->set_real))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446830>, <kernel.DependentProduct object at 0x2446248>) of role type named sy_c_Set_Oinsert_001t__Set__Oset_It__Nat__Onat_J
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring insert_set_nat:(set_nat->(set_set_nat->set_set_nat))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x24468c0>, <kernel.DependentProduct object at 0x2446128>) of role type named sy_c_Set_Oinsert_001t__VEBT____Definitions__OVEBT
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring insert_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x24467e8>, <kernel.DependentProduct object at 0x2446710>) of role type named sy_c_Set_Othe__elem_001t__Int__Oint
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring the_elem_int:(set_int->int)
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x24467a0>, <kernel.DependentProduct object at 0x2446950>) of role type named sy_c_Set_Othe__elem_001t__Nat__Onat
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring the_elem_nat:(set_nat->nat)
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446830>, <kernel.DependentProduct object at 0x2446128>) of role type named sy_c_Set_Othe__elem_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring the_el2281957884133575798at_nat:(set_Pr1261947904930325089at_nat->product_prod_nat_nat)
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x24467a0>, <kernel.DependentProduct object at 0x2446830>) of role type named sy_c_Set_Othe__elem_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring the_el221668144340439132at_nat:(set_Pr4329608150637261639at_nat->produc3843707927480180839at_nat)
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x24468c0>, <kernel.DependentProduct object at 0x2446a70>) of role type named sy_c_Set_Othe__elem_001t__Real__Oreal
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring the_elem_real:(set_real->real)
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x24467e8>, <kernel.DependentProduct object at 0x2446998>) of role type named sy_c_Set_Ovimage_001t__Nat__Onat_001t__Nat__Onat
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring vimage_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x24468c0>, <kernel.DependentProduct object at 0x2446b00>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Complex__Ocomplex
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_fo1517530859248394432omplex:((nat->(complex->complex))->(nat->(nat->(complex->complex))))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446998>, <kernel.DependentProduct object at 0x2446830>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Int__Oint
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_fo2581907887559384638at_int:((nat->(int->int))->(nat->(nat->(int->int))))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446b00>, <kernel.DependentProduct object at 0x2446ab8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446830>, <kernel.DependentProduct object at 0x24467e8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Rat__Orat
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_fo1949268297981939178at_rat:((nat->(rat->rat))->(nat->(nat->(rat->rat))))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446ab8>, <kernel.DependentProduct object at 0x2446c68>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Real__Oreal
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_fo3111899725591712190t_real:((nat->(real->real))->(nat->(nat->(real->real))))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x24467e8>, <kernel.DependentProduct object at 0x2446ab8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446c68>, <kernel.DependentProduct object at 0x24467e8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446ab8>, <kernel.DependentProduct object at 0x2446c68>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x24467e8>, <kernel.DependentProduct object at 0x2446ab8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446c68>, <kernel.DependentProduct object at 0x24467e8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446ab8>, <kernel.DependentProduct object at 0x2446e60>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Int__Oint_J
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_or370866239135849197et_int:(set_int->(set_int->set_set_int))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446ab8>, <kernel.DependentProduct object at 0x24490e0>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Nat__Onat_J
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_or4548717258645045905et_nat:(set_nat->(set_nat->set_set_nat))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446ab8>, <kernel.DependentProduct object at 0x24491b8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446f80>, <kernel.DependentProduct object at 0x2449248>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446ab8>, <kernel.DependentProduct object at 0x24490e0>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446f80>, <kernel.DependentProduct object at 0x2449368>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Int__Oint
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_ord_atMost_int:(int->set_int)
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2446f80>, <kernel.DependentProduct object at 0x24493b0>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2449248>, <kernel.DependentProduct object at 0x24493f8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Num__Onum
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_ord_atMost_num:(num->set_num)
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x24490e0>, <kernel.DependentProduct object at 0x2449440>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Rat__Orat
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_ord_atMost_rat:(rat->set_rat)
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2449368>, <kernel.DependentProduct object at 0x2449488>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Real__Oreal
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_ord_atMost_real:(real->set_real)
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x24490e0>, <kernel.DependentProduct object at 0x24494d0>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Set__Oset_It__Int__Oint_J
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_or58775011639299419et_int:(set_int->set_set_int)
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2449488>, <kernel.DependentProduct object at 0x2449560>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Set__Oset_It__Nat__Onat_J
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_or4236626031148496127et_nat:(set_nat->set_set_nat)
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x24494d0>, <kernel.DependentProduct object at 0x2449488>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2449560>, <kernel.DependentProduct object at 0x24494d0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2449488>, <kernel.DependentProduct object at 0x2449560>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x24494d0>, <kernel.DependentProduct object at 0x2449488>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2449560>, <kernel.DependentProduct object at 0x24494d0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x2449488>, <kernel.DependentProduct object at 0x24493b0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x24494d0>, <kernel.DependentProduct object at 0x2449950>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.73/0.92 FOF formula (<kernel.Constant object at 0x24495f0>, <kernel.DependentProduct object at 0x24499e0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Int__Oint
% 0.73/0.92 Using role type
% 0.73/0.92 Declaring set_ord_lessThan_int:(int->set_int)
% 0.73/0.93 FOF formula (<kernel.Constant object at 0x2449878>, <kernel.DependentProduct object at 0x2449a28>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.73/0.93 Using role type
% 0.73/0.93 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.73/0.93 FOF formula (<kernel.Constant object at 0x2449908>, <kernel.DependentProduct object at 0x2449a70>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Num__Onum
% 0.73/0.93 Using role type
% 0.73/0.93 Declaring set_ord_lessThan_num:(num->set_num)
% 0.73/0.93 FOF formula (<kernel.Constant object at 0x2449950>, <kernel.DependentProduct object at 0x2449ab8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Rat__Orat
% 0.73/0.93 Using role type
% 0.73/0.93 Declaring set_ord_lessThan_rat:(rat->set_rat)
% 0.73/0.93 FOF formula (<kernel.Constant object at 0x2449908>, <kernel.DependentProduct object at 0x2449b00>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.73/0.93 Using role type
% 0.73/0.93 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.73/0.93 FOF formula (<kernel.Constant object at 0x2449ab8>, <kernel.DependentProduct object at 0x2449b90>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Set__Oset_It__Nat__Onat_J
% 0.73/0.93 Using role type
% 0.73/0.93 Declaring set_or890127255671739683et_nat:(set_nat->set_set_nat)
% 0.73/0.93 FOF formula (<kernel.Constant object at 0x2449b00>, <kernel.DependentProduct object at 0x2449cb0>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.73/0.93 Using role type
% 0.73/0.93 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.73/0.93 FOF formula (<kernel.Constant object at 0x2449b90>, <kernel.DependentProduct object at 0x2449d40>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Real__Oreal_001t__Real__Oreal
% 0.73/0.93 Using role type
% 0.73/0.93 Declaring topolo5044208981011980120l_real:(set_real->((real->real)->Prop))
% 0.73/0.93 FOF formula (<kernel.Constant object at 0x2449cb0>, <kernel.DependentProduct object at 0x2449b00>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Int__Oint
% 0.73/0.93 Using role type
% 0.73/0.93 Declaring topolo4899668324122417113eq_int:((nat->int)->Prop)
% 0.73/0.93 FOF formula (<kernel.Constant object at 0x2449d40>, <kernel.DependentProduct object at 0x2449d88>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Nat__Onat
% 0.73/0.93 Using role type
% 0.73/0.93 Declaring topolo4902158794631467389eq_nat:((nat->nat)->Prop)
% 0.73/0.93 FOF formula (<kernel.Constant object at 0x2449b00>, <kernel.DependentProduct object at 0x2449e18>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Num__Onum
% 0.73/0.93 Using role type
% 0.73/0.93 Declaring topolo1459490580787246023eq_num:((nat->num)->Prop)
% 0.73/0.93 FOF formula (<kernel.Constant object at 0x2449d88>, <kernel.DependentProduct object at 0x2449ea8>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Rat__Orat
% 0.73/0.93 Using role type
% 0.73/0.93 Declaring topolo4267028734544971653eq_rat:((nat->rat)->Prop)
% 0.73/0.93 FOF formula (<kernel.Constant object at 0x2449e18>, <kernel.DependentProduct object at 0x2449f38>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.73/0.93 Using role type
% 0.73/0.93 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.73/0.93 FOF formula (<kernel.Constant object at 0x2449ea8>, <kernel.DependentProduct object at 0x2449fc8>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Set__Oset_It__Int__Oint_J
% 0.73/0.93 Using role type
% 0.73/0.93 Declaring topolo3100542954746470799et_int:((nat->set_int)->Prop)
% 0.73/0.93 FOF formula (<kernel.Constant object at 0x2449f38>, <kernel.DependentProduct object at 0x24499e0>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.73/0.93 Using role type
% 0.73/0.93 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.73/0.93 FOF formula (<kernel.Constant object at 0x2449f38>, <kernel.DependentProduct object at 0x244b170>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.73/0.93 Using role type
% 0.73/0.93 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.73/0.93 FOF formula (<kernel.Constant object at 0x2449f38>, <kernel.DependentProduct object at 0x244b170>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.73/0.93 Using role type
% 0.73/0.93 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x2449908>, <kernel.Constant object at 0x244b200>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Complex__Ocomplex
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring topolo896644834953643431omplex:filter6041513312241820739omplex
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b170>, <kernel.Constant object at 0x244b1b8>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring topolo1511823702728130853y_real:filter2146258269922977983l_real
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x2449908>, <kernel.DependentProduct object at 0x244b3b0>) of role type named sy_c_Transcendental_Oarccos
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring arccos:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x2449908>, <kernel.DependentProduct object at 0x244b3f8>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring arcosh_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b2d8>, <kernel.DependentProduct object at 0x244b440>) of role type named sy_c_Transcendental_Oarcsin
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring arcsin:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b1b8>, <kernel.DependentProduct object at 0x244b488>) of role type named sy_c_Transcendental_Oarctan
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring arctan:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b3b0>, <kernel.DependentProduct object at 0x244b4d0>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring arsinh_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b3f8>, <kernel.DependentProduct object at 0x244b518>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring artanh_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b440>, <kernel.DependentProduct object at 0x244b560>) of role type named sy_c_Transcendental_Ocos_001t__Complex__Ocomplex
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring cos_complex:(complex->complex)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b488>, <kernel.DependentProduct object at 0x244b5a8>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring cos_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b320>, <kernel.DependentProduct object at 0x244b638>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring cos_coeff:(nat->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b560>, <kernel.DependentProduct object at 0x244b488>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring cosh_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b638>, <kernel.DependentProduct object at 0x244b680>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring cot_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b3b0>, <kernel.DependentProduct object at 0x244b320>) of role type named sy_c_Transcendental_Odiffs_001t__Complex__Ocomplex
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring diffs_complex:((nat->complex)->(nat->complex))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b560>, <kernel.DependentProduct object at 0x244b488>) of role type named sy_c_Transcendental_Odiffs_001t__Int__Oint
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring diffs_int:((nat->int)->(nat->int))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b638>, <kernel.DependentProduct object at 0x244b6c8>) of role type named sy_c_Transcendental_Odiffs_001t__Rat__Orat
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring diffs_rat:((nat->rat)->(nat->rat))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b3b0>, <kernel.DependentProduct object at 0x244b710>) of role type named sy_c_Transcendental_Odiffs_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring diffs_real:((nat->real)->(nat->real))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b560>, <kernel.DependentProduct object at 0x244b320>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring exp_complex:(complex->complex)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b440>, <kernel.DependentProduct object at 0x244b488>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring exp_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b680>, <kernel.DependentProduct object at 0x244b878>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring ln_ln_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b710>, <kernel.DependentProduct object at 0x244b440>) of role type named sy_c_Transcendental_Olog
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring log:(real->(real->real))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b8c0>, <kernel.Constant object at 0x244b440>) of role type named sy_c_Transcendental_Opi
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring pi:real
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b878>, <kernel.DependentProduct object at 0x244b710>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring powr_real:(real->(real->real))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b320>, <kernel.DependentProduct object at 0x244b998>) of role type named sy_c_Transcendental_Osin_001t__Complex__Ocomplex
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring sin_complex:(complex->complex)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b3b0>, <kernel.DependentProduct object at 0x244b488>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring sin_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b4d0>, <kernel.DependentProduct object at 0x244ba70>) of role type named sy_c_Transcendental_Osin__coeff
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring sin_coeff:(nat->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b998>, <kernel.DependentProduct object at 0x244b3b0>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring sinh_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244ba70>, <kernel.DependentProduct object at 0x244bab8>) of role type named sy_c_Transcendental_Otan_001t__Complex__Ocomplex
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring tan_complex:(complex->complex)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b8c0>, <kernel.DependentProduct object at 0x244bb00>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring tan_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b4d0>, <kernel.DependentProduct object at 0x244bb48>) of role type named sy_c_Transcendental_Otanh_001t__Complex__Ocomplex
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring tanh_complex:(complex->complex)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b3b0>, <kernel.DependentProduct object at 0x244bb90>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring tanh_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b4d0>, <kernel.DependentProduct object at 0x244b3b0>) of role type named sy_c_Transitive__Closure_Ortrancl_001t__Nat__Onat
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring transi2905341329935302413cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244bb90>, <kernel.DependentProduct object at 0x244b4d0>) of role type named sy_c_Transitive__Closure_Otrancl_001t__Nat__Onat
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring transi6264000038957366511cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b440>, <kernel.DependentProduct object at 0x244bcf8>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b8c0>, <kernel.DependentProduct object at 0x244b4d0>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244bdd0>, <kernel.DependentProduct object at 0x244bb90>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x244b440>, <kernel.DependentProduct object at 0x244bdd0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244be60>, <kernel.DependentProduct object at 0x244bb90>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244b440>, <kernel.DependentProduct object at 0x244be60>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244b8c0>, <kernel.DependentProduct object at 0x244bb90>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244bf80>, <kernel.DependentProduct object at 0x244b440>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244b8c0>, <kernel.DependentProduct object at 0x244be60>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244b440>, <kernel.DependentProduct object at 0x1fcb050>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244be60>, <kernel.DependentProduct object at 0x1fcb050>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244b440>, <kernel.DependentProduct object at 0x1fcb098>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244bb90>, <kernel.DependentProduct object at 0x1fcb170>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244bb90>, <kernel.DependentProduct object at 0x1fcb200>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244bb90>, <kernel.DependentProduct object at 0x244d2d8>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244bb90>, <kernel.DependentProduct object at 0x244d0e0>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d1b8>, <kernel.DependentProduct object at 0x244d098>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d290>, <kernel.DependentProduct object at 0x244d0e0>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d3f8>, <kernel.DependentProduct object at 0x244d128>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d290>, <kernel.DependentProduct object at 0x244d3f8>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V6963167321098673237ll_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d440>, <kernel.DependentProduct object at 0x244d368>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d248>, <kernel.DependentProduct object at 0x244d440>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d128>, <kernel.DependentProduct object at 0x244d248>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d3f8>, <kernel.DependentProduct object at 0x244d368>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oadd
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_add:(option_nat->(option_nat->option_nat))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d290>, <kernel.DependentProduct object at 0x244d128>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ogreater
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_greater:(option_nat->(option_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d4d0>, <kernel.DependentProduct object at 0x244d3f8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oless
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_less:(option_nat->(option_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d5a8>, <kernel.DependentProduct object at 0x244d290>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Olesseq
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_lesseq:(option_nat->(option_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d248>, <kernel.DependentProduct object at 0x244d4d0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omax__in__set
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_max_in_set:(set_nat->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d368>, <kernel.DependentProduct object at 0x244d5a8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omin__in__set
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_min_in_set:(set_nat->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d128>, <kernel.DependentProduct object at 0x244d248>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omul
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_mul:(option_nat->(option_nat->option_nat))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d368>, <kernel.DependentProduct object at 0x244d7a0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Nat__Onat
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V4262088993061758097ft_nat:((nat->(nat->nat))->(option_nat->(option_nat->option_nat)))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d248>, <kernel.DependentProduct object at 0x244d8c0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Num__Onum
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V819420779217536731ft_num:((num->(num->num))->(option_num->(option_num->option_num)))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d7a0>, <kernel.DependentProduct object at 0x244d5f0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V1502963449132264192at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(option4927543243414619207at_nat->(option4927543243414619207at_nat->option4927543243414619207at_nat)))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d878>, <kernel.DependentProduct object at 0x244d8c0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Opower
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_power:(option_nat->(option_nat->option_nat))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d0e0>, <kernel.DependentProduct object at 0x244d290>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_vebt_maxt:(vEBT_VEBT->option_nat)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d950>, <kernel.DependentProduct object at 0x244d8c0>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_vebt_maxt_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d5f0>, <kernel.DependentProduct object at 0x244da28>) of role type named sy_c_VEBT__MinMax_Ovebt__mint
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_vebt_mint:(vEBT_VEBT->option_nat)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d9e0>, <kernel.DependentProduct object at 0x244d950>) of role type named sy_c_VEBT__MinMax_Ovebt__mint__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_vebt_mint_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244da70>, <kernel.DependentProduct object at 0x244da28>) of role type named sy_c_Wellfounded_Oaccp_001t__List__Olist_It__Nat__Onat_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring accp_list_nat:((list_nat->(list_nat->Prop))->(list_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d9e0>, <kernel.DependentProduct object at 0x244d290>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244da70>, <kernel.DependentProduct object at 0x244db00>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d290>, <kernel.DependentProduct object at 0x244db48>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244db00>, <kernel.DependentProduct object at 0x244d5f0>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244da70>, <kernel.DependentProduct object at 0x244d290>) of role type named sy_c_Wellfounded_Oaccp_001t__VEBT____Definitions__OVEBT
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring accp_VEBT_VEBT:((vEBT_VEBT->(vEBT_VEBT->Prop))->(vEBT_VEBT->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244db00>, <kernel.DependentProduct object at 0x244da70>) of role type named sy_c_Wellfounded_Omax__ext_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring max_ex8135407076693332796at_nat:(set_Pr8693737435421807431at_nat->set_Pr4329608150637261639at_nat)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d290>, <kernel.DependentProduct object at 0x244db00>) of role type named sy_c_Wellfounded_Omin__ext_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring min_ex6901939911449802026at_nat:(set_Pr8693737435421807431at_nat->set_Pr4329608150637261639at_nat)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244dcf8>, <kernel.Constant object at 0x244dcb0>) of role type named sy_c_Wellfounded_Opred__nat
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring pred_nat:set_Pr1261947904930325089at_nat
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244dc20>, <kernel.DependentProduct object at 0x244de60>) of role type named sy_c_Wellfounded_Owf_001t__Int__Oint
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring wf_int:(set_Pr958786334691620121nt_int->Prop)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d290>, <kernel.DependentProduct object at 0x244dea8>) of role type named sy_c_Wellfounded_Owf_001t__Nat__Onat
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring wf_nat:(set_Pr1261947904930325089at_nat->Prop)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244d5a8>, <kernel.DependentProduct object at 0x244df80>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring fChoice_real:((real->Prop)->real)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x244dc20>, <kernel.DependentProduct object at 0x244df80>) of role type named sy_c_member_001_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring member1535805642427569193e_term:((code_integer->option6357759511663192854e_term)->(set_Co9149898834107579976e_term->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x244d5a8>, <kernel.DependentProduct object at 0x244de60>) of role type named sy_c_member_001_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member8845023287901829240e_term:((int->option6357759511663192854e_term)->(set_in3461395444621081367e_term->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x244df80>, <kernel.DependentProduct object at 0x1fcd050>) of role type named sy_c_member_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member4242434998011752849e_term:((produc6241069584506657477e_term->option6357759511663192854e_term)->(set_Pr7604974323444597168e_term->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x244de60>, <kernel.DependentProduct object at 0x1fcd050>) of role type named sy_c_member_001_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member3222579708246209666e_term:((produc8551481072490612790e_term->option6357759511663192854e_term)->(set_Pr3642885161833720865e_term->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x244d290>, <kernel.DependentProduct object at 0x1fcd1b8>) of role type named sy_c_member_001_Eo
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_o:(Prop->(set_o->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x244df80>, <kernel.DependentProduct object at 0x1fcd128>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_complex:(complex->(set_complex->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x244def0>, <kernel.DependentProduct object at 0x1fcd248>) of role type named sy_c_member_001t__Int__Oint
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_int:(int->(set_int->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x244df80>, <kernel.DependentProduct object at 0x1fcd1b8>) of role type named sy_c_member_001t__List__Olist_I_Eo_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_list_o:(list_o->(set_list_o->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x244df80>, <kernel.DependentProduct object at 0x1fcd050>) of role type named sy_c_member_001t__List__Olist_It__Int__Oint_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_list_int:(list_int->(set_list_int->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcd200>, <kernel.DependentProduct object at 0x1fcd128>) of role type named sy_c_member_001t__List__Olist_It__Nat__Onat_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_list_nat:(list_nat->(set_list_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcd170>, <kernel.DependentProduct object at 0x1fcd200>) of role type named sy_c_member_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member2936631157270082147T_VEBT:(list_VEBT_VEBT->(set_list_VEBT_VEBT->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcd248>, <kernel.DependentProduct object at 0x1fcd128>) of role type named sy_c_member_001t__Nat__Onat
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_nat:(nat->(set_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcd3f8>, <kernel.DependentProduct object at 0x1fcd170>) of role type named sy_c_member_001t__Num__Onum
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member_num:(num->(set_num->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcd248>, <kernel.DependentProduct object at 0x1fcd200>) of role type named sy_c_member_001t__Product____Type__Oprod_I_062_It__Code____Numeral__Ointeger_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member3068662437193594005nteger:(produc8763457246119570046nteger->(set_Pr8056137968301705908nteger->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcd170>, <kernel.DependentProduct object at 0x1fcd0e0>) of role type named sy_c_member_001t__Product____Type__Oprod_I_062_It__Int__Oint_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member7034335876925520548nt_int:(produc7773217078559923341nt_int->(set_Pr1872883991513573699nt_int->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcd200>, <kernel.DependentProduct object at 0x1fcd518>) of role type named sy_c_member_001t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member4164122664394876845nteger:(produc1908205239877642774nteger->(set_Pr1281608226676607948nteger->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcd0e0>, <kernel.DependentProduct object at 0x1fcd5a8>) of role type named sy_c_member_001t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Int__Oint_M_062_It__Product____Type__Ounit_Mt__Code____Evaluation__Oterm_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_I_Eo_Mt__List__Olist_It__Code____Evaluation__Oterm_J_J_J_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member7618704894036264090nt_int:(produc2285326912895808259nt_int->(set_Pr9222295170931077689nt_int->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcd518>, <kernel.DependentProduct object at 0x1fcd0e0>) of role type named sy_c_member_001t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member7466972457876170832od_o_o:(product_prod_o_o->(set_Product_prod_o_o->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcd5a8>, <kernel.DependentProduct object at 0x1fcd758>) of role type named sy_c_member_001t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member7847949116333733898_o_int:(product_prod_o_int->(set_Pr8834758594704517033_o_int->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcd0e0>, <kernel.DependentProduct object at 0x1fcd7e8>) of role type named sy_c_member_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member2802428098988154798_o_nat:(product_prod_o_nat->(set_Pr2101469702781467981_o_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcd758>, <kernel.DependentProduct object at 0x1fcd878>) of role type named sy_c_member_001t__Product____Type__Oprod_I_Eo_Mt__Real__Oreal_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member7400031367953476362o_real:(product_prod_o_real->(set_Pr6573716822653411497o_real->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcd7e8>, <kernel.DependentProduct object at 0x1fcd710>) of role type named sy_c_member_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member5477980866518848620T_VEBT:(produc2504756804600209347T_VEBT->(set_Pr7543698050874017315T_VEBT->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcd878>, <kernel.DependentProduct object at 0x1fcd908>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member157494554546826820nteger:(produc8923325533196201883nteger->(set_Pr4811707699266497531nteger->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcd710>, <kernel.DependentProduct object at 0x1fcda28>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member5262025264175285858nt_int:(product_prod_int_int->(set_Pr958786334691620121nt_int->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcd908>, <kernel.DependentProduct object at 0x1fcd518>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Int__Oint_Mt__Real__Oreal_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member2744130022092475746t_real:(produc679980390762269497t_real->(set_Pr3538720872664544793t_real->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcda28>, <kernel.DependentProduct object at 0x1fcdab8>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Int__Oint_Mt__VEBT____Definitions__OVEBT_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member2056185340421749780T_VEBT:(produc1531783533982839933T_VEBT->(set_Pr8044002425091019955T_VEBT->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcd518>, <kernel.DependentProduct object at 0x1fcdb48>) of role type named sy_c_member_001t__Product____Type__Oprod_It__List__Olist_I_Eo_J_Mt__List__Olist_I_Eo_J_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member4159035015898711888list_o:(produc7102631898165422375list_o->(set_Pr6227168374412355847list_o->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcdab8>, <kernel.DependentProduct object at 0x1fcdbd8>) of role type named sy_c_member_001t__Product____Type__Oprod_It__List__Olist_It__Int__Oint_J_Mt__List__Olist_It__Int__Oint_J_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member6698963635872716290st_int:(produc1186641810826059865st_int->(set_Pr765067013931698361st_int->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcdb48>, <kernel.DependentProduct object at 0x1fcdc68>) of role type named sy_c_member_001t__Product____Type__Oprod_It__List__Olist_It__Nat__Onat_J_Mt__List__Olist_It__Nat__Onat_J_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member7340969449405702474st_nat:(produc1828647624359046049st_nat->(set_Pr3451248702717554689st_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcdbd8>, <kernel.DependentProduct object at 0x1fcdcf8>) of role type named sy_c_member_001t__Product____Type__Oprod_It__List__Olist_It__VEBT____Definitions__OVEBT_J_Mt__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member4439316823752958928T_VEBT:(produc9211091688327510695T_VEBT->(set_Pr1916528119006554503T_VEBT->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcdc68>, <kernel.DependentProduct object at 0x1fcde18>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member8440522571783428010at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcdcf8>, <kernel.DependentProduct object at 0x1fcd758>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member8206827879206165904at_nat:(produc859450856879609959at_nat->(set_Pr8693737435421807431at_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcde18>, <kernel.DependentProduct object at 0x1fcdf38>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Real__Oreal_M_Eo_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member772602641336174712real_o:(product_prod_real_o->(set_Pr4936984352647145239real_o->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcd758>, <kernel.DependentProduct object at 0x1fcdab8>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Int__Oint_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member1627681773268152802al_int:(produc8786904178792722361al_int->(set_Pr1019928272762051225al_int->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcdf38>, <kernel.DependentProduct object at 0x1fd0098>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Nat__Onat_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member5805532792777349510al_nat:(produc3741383161447143261al_nat->(set_Pr3510011417693777981al_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcdab8>, <kernel.DependentProduct object at 0x1fd00e0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member7849222048561428706l_real:(produc2422161461964618553l_real->(set_Pr6218003697084177305l_real->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x1fcdab8>, <kernel.DependentProduct object at 0x1fd00e0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Real__Oreal_Mt__VEBT____Definitions__OVEBT_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring member7262085504369356948T_VEBT:(produc3757001726724277373T_VEBT->(set_Pr6019664923565264691T_VEBT->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fcd758>, <kernel.DependentProduct object at 0x1fd00e0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Set__Oset_It__Nat__Onat_J_Mt__Set__Oset_It__Nat__Onat_J_J
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring member8277197624267554838et_nat:(produc7819656566062154093et_nat->(set_Pr5488025237498180813et_nat->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd0290>, <kernel.DependentProduct object at 0x1fd00e0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring member8757157785044589968at_nat:(produc3843707927480180839at_nat->(set_Pr4329608150637261639at_nat->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd0170>, <kernel.DependentProduct object at 0x1fd00e0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring member3307348790968139188VEBT_o:(produc334124729049499915VEBT_o->(set_Pr3175402225741728619VEBT_o->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd0320>, <kernel.DependentProduct object at 0x1fd00e0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring member5419026705395827622BT_int:(produc4894624898956917775BT_int->(set_Pr5066593544530342725BT_int->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd0200>, <kernel.DependentProduct object at 0x1fd00e0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring member373505688050248522BT_nat:(produc9072475918466114483BT_nat->(set_Pr7556676689462069481BT_nat->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd0320>, <kernel.DependentProduct object at 0x1fd0488>) of role type named sy_c_member_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Real__Oreal_J
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring member8675245146396747942T_real:(produc5170161368751668367T_real->(set_Pr7765410600122031685T_real->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd00e0>, <kernel.DependentProduct object at 0x1fd0518>) of role type named sy_c_member_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring member568628332442017744T_VEBT:(produc8243902056947475879T_VEBT->(set_Pr6192946355708809607T_VEBT->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd0200>, <kernel.DependentProduct object at 0x1fd0488>) of role type named sy_c_member_001t__Rat__Orat
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring member_rat:(rat->(set_rat->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd03b0>, <kernel.DependentProduct object at 0x1fd0200>) of role type named sy_c_member_001t__Real__Oreal
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring member_real:(real->(set_real->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd06c8>, <kernel.DependentProduct object at 0x1fd00e0>) of role type named sy_c_member_001t__Set__Oset_It__Int__Oint_J
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring member_set_int:(set_int->(set_set_int->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd0290>, <kernel.DependentProduct object at 0x1fd0488>) of role type named sy_c_member_001t__Set__Oset_It__Nat__Onat_J
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring member_set_nat:(set_nat->(set_set_nat->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd0200>, <kernel.DependentProduct object at 0x1fd06c8>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd05a8>, <kernel.Constant object at 0x1fd06c8>) of role type named sy_v_deg
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring deg:nat
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd0488>, <kernel.Constant object at 0x1fd06c8>) of role type named sy_v_m____
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring m:nat
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd03b0>, <kernel.Constant object at 0x1fd06c8>) of role type named sy_v_ma
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring ma:nat
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd07e8>, <kernel.Constant object at 0x1fd06c8>) of role type named sy_v_maxs____
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring maxs:nat
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd0758>, <kernel.Constant object at 0x1fd06c8>) of role type named sy_v_mi
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring mi:nat
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd0830>, <kernel.Constant object at 0x1fd06c8>) of role type named sy_v_n____
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring n:nat
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd0878>, <kernel.Constant object at 0x1fd06c8>) of role type named sy_v_summary
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring summary:vEBT_VEBT
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd08c0>, <kernel.Sort object at 0x2b9a712325a8>) of role type named sy_v_thesis____
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring thesis:Prop
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x1fd00e0>, <kernel.Constant object at 0x1fd0830>) of role type named sy_v_treeList
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring treeList:list_VEBT_VEBT
% 0.76/0.96 FOF formula ((ex nat) (fun (X_1:nat)=> ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) maxs)) X_1))) of role axiom named fact_0__092_060open_062_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_B_Amaxs_J_Ax_092_060close_062
% 0.76/0.96 A new axiom: ((ex nat) (fun (X_1:nat)=> ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) maxs)) X_1)))
% 0.76/0.96 FOF formula (forall (T:vEBT_VEBT), (((vEBT_VEBT_minNull T)->False)->((ex nat) (fun (X_1:nat)=> ((vEBT_V8194947554948674370ptions T) X_1))))) of role axiom named fact_1_not__min__Null__member
% 0.76/0.96 A new axiom: (forall (T:vEBT_VEBT), (((vEBT_VEBT_minNull T)->False)->((ex nat) (fun (X_1:nat)=> ((vEBT_V8194947554948674370ptions T) X_1)))))
% 0.76/0.96 FOF formula (((eq option_nat) (some_nat maxs)) (vEBT_vebt_maxt summary)) of role axiom named fact_2__092_060open_062Some_Amaxs_A_061_Avebt__maxt_Asummary_092_060close_062
% 0.76/0.96 A new axiom: (((eq option_nat) (some_nat maxs)) (vEBT_vebt_maxt summary))
% 0.76/0.96 FOF formula (((eq (vEBT_VEBT->(nat->Prop))) vEBT_V8194947554948674370ptions) (fun (T2:vEBT_VEBT) (X:nat)=> ((or ((vEBT_V5719532721284313246member T2) X)) ((vEBT_VEBT_membermima T2) X)))) of role axiom named fact_3_both__member__options__def
% 0.76/0.96 A new axiom: (((eq (vEBT_VEBT->(nat->Prop))) vEBT_V8194947554948674370ptions) (fun (T2:vEBT_VEBT) (X:nat)=> ((or ((vEBT_V5719532721284313246member T2) X)) ((vEBT_VEBT_membermima T2) X))))
% 0.76/0.96 <<<_VEBT] :
% 0.76/0.96 ( ( member_VEBT_VEBT @ X2 @ ( set_VEBT_VEBT2 @ treeList ) )
% 0.76/0.96 => ~ ?>>>!!!<<< [X_12: nat] : ( vEBT_V8194947554948674370ptions @ X2 @ X_12 ) ) ) ).
% 0.76/0.96
% 0.76/0.96 % "5"(7)
% 0.76/0.96 thf(fact_5>>>
% 0.76/0.96 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, 11, 22, 30, 36, 43, 50, 99, 120, 187, 113, 185, 229, 265, 285, 300, 221, 120, 187, 124]
% 0.76/0.96 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, LexToken(THF,'thf',1,208810), LexToken(LPAR,'(',1,208813), name, LexToken(COMMA,',',1,208831), formula_role, LexToken(COMMA,',',1,208837), LexToken(LPAR,'(',1,208843), thf_unitary_formula, thf_pair_connective, thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,208865), thf_variable_list, LexToken(RBRACKET,']',1,208879), LexToken(COLON,':',1,208881), LexToken(LPAR,'(',1,208891), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.76/0.96 Unexpected exception Syntax error at '?':QUESTION
% 0.76/0.96 Traceback (most recent call last):
% 0.76/0.96 File "CASC.py", line 79, in <module>
% 0.76/0.96 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.76/0.96 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.76/0.96 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.76/0.96 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.76/0.96 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.76/0.96 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.76/0.96 tok = self.errorfunc(errtoken)
% 0.76/0.96 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.76/0.96 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.76/0.96 TPTPparser.TPTPParsingError: Syntax error at '?':QUESTION
%------------------------------------------------------------------------------