TSTP Solution File: ITP273^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP273^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 17:47:55 EDT 2022
% Result : Unknown 0.84s 1.01s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP273^3 : TPTP v7.6.0. Released v7.6.0.
% 0.07/0.13 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 Computer : n016.cluster.edu
% 0.13/0.35 Model : x86_64 x86_64
% 0.13/0.35 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 RAMPerCPU : 8042.1875MB
% 0.13/0.35 OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Fri Mar 18 15:46:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.36 Python 2.7.5
% 0.45/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x17813f8>, <kernel.Type object at 0x1781d88>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring produc5542196010084753463at_nat:Type
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1781128>, <kernel.Type object at 0x1781368>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring produc5491161045314408544at_nat:Type
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x17812d8>, <kernel.Type object at 0x17816c8>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Num__Onum_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring produc1193250871479095198on_num:Type
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1781128>, <kernel.Type object at 0x2b12f4c6d950>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring produc8306885398267862888on_nat:Type
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1781098>, <kernel.Type object at 0x2b12f4c6d440>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring produc6121120109295599847at_nat:Type
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1781098>, <kernel.Type object at 0x17816c8>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring produc3368934014287244435at_num:Type
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x17812d8>, <kernel.Type object at 0x18eef80>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring produc4471711990508489141at_nat:Type
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x17812d8>, <kernel.Type object at 0x18eeef0>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring produc7036089656553540234on_num:Type
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1781098>, <kernel.Type object at 0x18eef38>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring produc2233624965454879586on_nat:Type
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x18eeea8>, <kernel.Type object at 0x18eedd0>) of role type named ty_n_t__Set__Oset_It__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring set_fi4554929511873752355omplex:Type
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x18eed40>, <kernel.Type object at 0x18eee60>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_P7413028617227757229T_VEBT:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x18eee18>, <kernel.Type object at 0x18eeea8>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc3447558737645232053on_num:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x18eec20>, <kernel.Type object at 0x18eeb90>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc4953844613479565601on_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x18eee18>, <kernel.Type object at 0x18eed40>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc2963631642982155120at_num:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x18eeb00>, <kernel.Type object at 0x18eec20>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc7248412053542808358at_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x18eea70>, <kernel.Type object at 0x18eee18>) of role type named ty_n_t__Set__Oset_It__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_fi7789364187291644575l_real:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x18ee9e0>, <kernel.Type object at 0x18eeb00>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring filter6041513312241820739omplex:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x18ee950>, <kernel.Type object at 0x18eea70>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_P4547456442757143711BT_int:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x18ee8c0>, <kernel.Type object at 0x18ee9e0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__VEBT____Definitions__OVEBT_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_P7524865323317820941T_VEBT:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x18ee830>, <kernel.Type object at 0x18ee950>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc8243902056947475879T_VEBT:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x18ee710>, <kernel.Type object at 0x18ee8c0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_Pr5085853215250843933omplex:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x18ee680>, <kernel.Type object at 0x18ee830>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc8923325533196201883nteger:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x18ee5f0>, <kernel.Type object at 0x18ee710>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_P3126845725202233233VEBT_o:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x18ee560>, <kernel.Type object at 0x18ee680>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_P7495141550334521929T_VEBT:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x18ee4d0>, <kernel.Type object at 0x18ee5f0>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring filter2146258269922977983l_real:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x18ee440>, <kernel.Type object at 0x18ee560>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P8526636022914148096eger_o:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x18ee3b0>, <kernel.Type object at 0x18ee4d0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_Pr448751882837621926eger_o:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x18ee320>, <kernel.Type object at 0x18ee440>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring option4927543243414619207at_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x18ee290>, <kernel.Type object at 0x18ee3b0>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring filter1242075044329608583at_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x18ee200>, <kernel.Type object at 0x18ee320>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_Pr6218003697084177305l_real:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x18ee170>, <kernel.Type object at 0x18ee290>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P3744719386663036955um_num:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x18ee050>, <kernel.Type object at 0x18ee200>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P1726324292696863441at_num:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x18eed88>, <kernel.Type object at 0x18ee170>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P6011104703257516679at_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x18ee050>, <kernel.Type object at 0x2b12fc74a488>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P5707943133018811711nt_int:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x18ee050>, <kernel.Type object at 0x2b12fc768878>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc9072475918466114483BT_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b12fc74a368>, <kernel.Type object at 0x2b12fc768050>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc4894624898956917775BT_int:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b12fc74a368>, <kernel.Type object at 0x2b12fc768a70>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_Pr8218934625190621173um_num:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b12fc74add0>, <kernel.Type object at 0x2b12fc768e18>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_Pr6200539531224447659at_num:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b12fc768560>, <kernel.Type object at 0x2b12fc7688c0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_Pr1261947904930325089at_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b12fc7685a8>, <kernel.Type object at 0x2b12fc768b00>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_Pr958786334691620121nt_int:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b12fc768200>, <kernel.Type object at 0x2b12fc768560>) of role type named ty_n_t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc4411394909380815293omplex:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b12fc7684d0>, <kernel.Type object at 0x1784c68>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_M_Eo_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P5087981734274514673_int_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b12fc768200>, <kernel.Type object at 0x1784ab8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P3795440434834930179_o_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b12fc768560>, <kernel.Type object at 0x1784c68>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_list_VEBT_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b12fc768200>, <kernel.Type object at 0x1784ab8>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc334124729049499915VEBT_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b12fc768560>, <kernel.Type object at 0x18f7290>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc2504756804600209347T_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b12fc768560>, <kernel.Type object at 0x18f7200>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc6271795597528267376eger_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b12fc768200>, <kernel.Type object at 0x18f7248>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc2422161461964618553l_real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b12fc768560>, <kernel.Type object at 0x18f7200>) of role type named ty_n_t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring product_prod_num_num:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b12fc7684d0>, <kernel.Type object at 0x18f7128>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring product_prod_nat_num:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b12fc7684d0>, <kernel.Type object at 0x18f7098>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring product_prod_nat_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7170>, <kernel.Type object at 0x18f7368>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring product_prod_int_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f70e0>, <kernel.Type object at 0x18f71b8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P4002435161011370285od_o_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7170>, <kernel.Type object at 0x18f7368>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Complex__Ocomplex_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_list_complex:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7128>, <kernel.Type object at 0x18f7440>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Complex__Ocomplex_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_set_complex:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f70e0>, <kernel.Type object at 0x18f74d0>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_VEBT_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7170>, <kernel.Type object at 0x18f7518>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_list_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7128>, <kernel.Type object at 0x18f7560>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Int__Oint_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_list_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f70e0>, <kernel.Type object at 0x18f75a8>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring product_prod_o_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7170>, <kernel.Type object at 0x18f75f0>) of role type named ty_n_t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_set_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7128>, <kernel.Type object at 0x18f7638>) of role type named ty_n_t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_Code_integer:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f70e0>, <kernel.Type object at 0x18f7680>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_VEBT_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7170>, <kernel.Type object at 0x18f76c8>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_set_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7128>, <kernel.Type object at 0x18f7710>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_set_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f70e0>, <kernel.Type object at 0x18f7758>) of role type named ty_n_t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Code_integer:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7170>, <kernel.Type object at 0x18f77a0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Ounit_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Product_unit:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7128>, <kernel.Type object at 0x18f77e8>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_complex:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f70e0>, <kernel.Type object at 0x18f7830>) of role type named ty_n_t__Set__Oset_It__List__Olist_I_Eo_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_list_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7170>, <kernel.Type object at 0x18f7878>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring product_prod_o_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7128>, <kernel.Type object at 0x18f78c0>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_complex:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f70e0>, <kernel.Type object at 0x18f7908>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring filter_real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7170>, <kernel.Type object at 0x18f7950>) of role type named ty_n_t__Set__Oset_It__Set__Oset_I_Eo_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_set_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7128>, <kernel.Type object at 0x18f7998>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring option_num:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f70e0>, <kernel.Type object at 0x18f79e0>) of role type named ty_n_t__Option__Ooption_It__Nat__Onat_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring option_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7170>, <kernel.Type object at 0x18f7a28>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring filter_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7128>, <kernel.Type object at 0x18f7a70>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_char:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f70e0>, <kernel.Type object at 0x18f7ab8>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7050>, <kernel.Type object at 0x18f7a70>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7170>, <kernel.Type object at 0x18f7b48>) of role type named ty_n_t__List__Olist_It__Num__Onum_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_num:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f70e0>, <kernel.Type object at 0x18f7bd8>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7a28>, <kernel.Type object at 0x18f7c20>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7050>, <kernel.Type object at 0x18f7c68>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring vEBT_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7170>, <kernel.Type object at 0x18f7cb0>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_rat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f70e0>, <kernel.Type object at 0x18f7cf8>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_num:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7a28>, <kernel.Type object at 0x18f7d40>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7050>, <kernel.Type object at 0x18f7d88>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7170>, <kernel.Type object at 0x18f7dd0>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring code_integer:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f70e0>, <kernel.Type object at 0x18f7e18>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring extended_enat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7050>, <kernel.Type object at 0x18f7d88>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7128>, <kernel.Type object at 0x18f7ea8>) of role type named ty_n_t__Complex__Ocomplex
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring complex:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7170>, <kernel.Type object at 0x18f7dd0>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7050>, <kernel.Type object at 0x18f7ef0>) of role type named ty_n_t__String__Ochar
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring char:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7128>, <kernel.Type object at 0x18f7f38>) of role type named ty_n_t__Real__Oreal
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7170>, <kernel.Type object at 0x18f7f80>) of role type named ty_n_t__Rat__Orat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring rat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7050>, <kernel.Type object at 0x18f7f38>) of role type named ty_n_t__Num__Onum
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring num:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7f80>, <kernel.Type object at 0x176b098>) of role type named ty_n_t__Nat__Onat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7f38>, <kernel.Type object at 0x176b098>) of role type named ty_n_t__Int__Oint
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7f38>, <kernel.DependentProduct object at 0x176b248>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Rat__Orat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring archim2889992004027027881ng_rat:(rat->int)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x18f7050>, <kernel.DependentProduct object at 0x176b2d8>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring archim7802044766580827645g_real:(real->int)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x176b0e0>, <kernel.DependentProduct object at 0x176b368>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring archim3151403230148437115or_rat:(rat->int)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x176b170>, <kernel.DependentProduct object at 0x176b3f8>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring archim6058952711729229775r_real:(real->int)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x176b248>, <kernel.DependentProduct object at 0x176b488>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x176b050>, <kernel.DependentProduct object at 0x176b518>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring archim8280529875227126926d_real:(real->int)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x176b0e0>, <kernel.DependentProduct object at 0x176b248>) of role type named sy_c_Binomial_Obinomial
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring binomial:(nat->(nat->nat))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b2d8>, <kernel.DependentProduct object at 0x176b0e0>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b5a8>, <kernel.DependentProduct object at 0x176b248>) of role type named sy_c_Bit__Operations_Oand__not__num
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_and_not_num:(num->(num->option_num))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b638>, <kernel.DependentProduct object at 0x176b2d8>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b170>, <kernel.DependentProduct object at 0x176b050>) of role type named sy_c_Bit__Operations_Oor__not__num__neg
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_or_not_num_neg:(num->(num->num))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b5a8>, <kernel.DependentProduct object at 0x176b170>) of role type named sy_c_Bit__Operations_Oor__not__num__neg__rel
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_or3848514188828904588eg_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b050>, <kernel.DependentProduct object at 0x176b7a0>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b170>, <kernel.DependentProduct object at 0x176b050>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b7a0>, <kernel.DependentProduct object at 0x176b170>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b050>, <kernel.DependentProduct object at 0x176b7a0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Code____Numeral__Ointeger
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se3949692690581998587nteger:(code_integer->(code_integer->code_integer))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b170>, <kernel.DependentProduct object at 0x176b050>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b7a0>, <kernel.DependentProduct object at 0x176b170>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b050>, <kernel.DependentProduct object at 0x176b7a0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b170>, <kernel.DependentProduct object at 0x176b050>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b7a0>, <kernel.DependentProduct object at 0x176b170>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b050>, <kernel.DependentProduct object at 0x176b7a0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b170>, <kernel.DependentProduct object at 0x176b050>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b7a0>, <kernel.DependentProduct object at 0x176b830>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b050>, <kernel.DependentProduct object at 0x176be60>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b830>, <kernel.DependentProduct object at 0x176b050>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Code____Numeral__Ointeger
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se1080825931792720795nteger:(code_integer->(code_integer->code_integer))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176be60>, <kernel.DependentProduct object at 0x176b830>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b050>, <kernel.DependentProduct object at 0x176be60>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b830>, <kernel.DependentProduct object at 0x176b7a0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b830>, <kernel.DependentProduct object at 0x176e0e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176b830>, <kernel.DependentProduct object at 0x176e1b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176bf80>, <kernel.DependentProduct object at 0x176e248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176e1b8>, <kernel.DependentProduct object at 0x176e2d8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176e0e0>, <kernel.DependentProduct object at 0x176e368>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176e200>, <kernel.DependentProduct object at 0x176e3f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176e050>, <kernel.DependentProduct object at 0x176e200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x176e3f8>, <kernel.DependentProduct object at 0x176e050>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176e200>, <kernel.DependentProduct object at 0x176e3f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176e050>, <kernel.DependentProduct object at 0x176e200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176e3f8>, <kernel.DependentProduct object at 0x176e050>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176e200>, <kernel.DependentProduct object at 0x176e3f8>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176e050>, <kernel.DependentProduct object at 0x176e200>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176e7e8>, <kernel.DependentProduct object at 0x176e3f8>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176e8c0>, <kernel.DependentProduct object at 0x176e050>) of role type named sy_c_Code__Numeral_Obit__cut__integer
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_bit_cut_integer:(code_integer->produc6271795597528267376eger_o)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176e290>, <kernel.DependentProduct object at 0x176e8c0>) of role type named sy_c_Code__Numeral_Odivmod__abs
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_divmod_abs:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176e7a0>, <kernel.DependentProduct object at 0x176e050>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176e998>, <kernel.DependentProduct object at 0x176e908>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_int_of_integer:(code_integer->int)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176e050>, <kernel.DependentProduct object at 0x176ea70>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_integer_of_int:(int->code_integer)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176e0e0>, <kernel.DependentProduct object at 0x176ea28>) of role type named sy_c_Code__Numeral_Ointeger__of__num
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_integer_of_num:(num->code_integer)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176e7a0>, <kernel.DependentProduct object at 0x176eab8>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_nat_of_integer:(code_integer->nat)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176e9e0>, <kernel.DependentProduct object at 0x176eb48>) of role type named sy_c_Code__Numeral_Onegative
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_negative:(num->code_integer)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176ea28>, <kernel.DependentProduct object at 0x176e7a0>) of role type named sy_c_Code__Numeral_Onum__of__integer
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_num_of_integer:(code_integer->num)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176e908>, <kernel.DependentProduct object at 0x176ebd8>) of role type named sy_c_Code__Numeral_Opositive
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_positive:(num->code_integer)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176eb48>, <kernel.DependentProduct object at 0x176ec20>) of role type named sy_c_Code__Target__Int_Onegative
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_Target_negative:(num->int)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176e9e0>, <kernel.DependentProduct object at 0x176ec68>) of role type named sy_c_Code__Target__Int_Opositive
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_Target_positive:(num->int)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176eab8>, <kernel.DependentProduct object at 0x176eb48>) 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
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring comple8358262395181532106omplex:(set_fi4554929511873752355omplex->filter6041513312241820739omplex)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176e9e0>, <kernel.DependentProduct object at 0x176eab8>) 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
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring comple2936214249959783750l_real:(set_fi7789364187291644575l_real->filter2146258269922977983l_real)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176eb48>, <kernel.DependentProduct object at 0x176ed88>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Real__Oreal
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring comple4887499456419720421f_real:(set_real->real)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176eab8>, <kernel.DependentProduct object at 0x176ee18>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring comple7806235888213564991et_nat:(set_set_nat->set_nat)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176e7a0>, <kernel.DependentProduct object at 0x176eea8>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Int__Oint
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring complete_Sup_Sup_int:(set_int->int)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176eab8>, <kernel.DependentProduct object at 0x176eef0>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Real__Oreal
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring comple1385675409528146559p_real:(set_real->real)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176eea8>, <kernel.DependentProduct object at 0x176ef80>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring comple7399068483239264473et_nat:(set_set_nat->set_nat)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176ed40>, <kernel.DependentProduct object at 0x1775050>) of role type named sy_c_Complex_OArg
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring arg:(complex->real)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176ed88>, <kernel.DependentProduct object at 0x1775098>) of role type named sy_c_Complex_Ocis
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring cis:(real->complex)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176ef80>, <kernel.DependentProduct object at 0x17750e0>) of role type named sy_c_Complex_Ocnj
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring cnj:(complex->complex)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176eb00>, <kernel.DependentProduct object at 0x1775128>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring complex2:(real->(real->complex))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176ef80>, <kernel.DependentProduct object at 0x1775200>) of role type named sy_c_Complex_Ocomplex_OIm
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring im:(complex->real)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176eea8>, <kernel.DependentProduct object at 0x17751b8>) of role type named sy_c_Complex_Ocomplex_ORe
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring re:(complex->real)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176eb00>, <kernel.DependentProduct object at 0x17750e0>) of role type named sy_c_Complex_Ocsqrt
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring csqrt:(complex->complex)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x176eb00>, <kernel.Constant object at 0x17750e0>) of role type named sy_c_Complex_Oimaginary__unit
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring imaginary_unit:complex
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1775200>, <kernel.DependentProduct object at 0x1775098>) of role type named sy_c_Deriv_Odifferentiable_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring differ6690327859849518006l_real:((real->real)->(filter_real->Prop))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x17751b8>, <kernel.DependentProduct object at 0x1775128>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775368>, <kernel.DependentProduct object at 0x17753f8>) of role type named sy_c_Divides_Oadjust__div
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring adjust_div:(product_prod_int_int->int)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775128>, <kernel.DependentProduct object at 0x1775200>) of role type named sy_c_Divides_Oadjust__mod
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring adjust_mod:(int->(int->int))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x17753b0>, <kernel.DependentProduct object at 0x1775368>) of role type named sy_c_Divides_Odivmod__nat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775290>, <kernel.DependentProduct object at 0x17753b0>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775128>, <kernel.DependentProduct object at 0x17751b8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Code____Numeral__Ointeger
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring unique5706413561485394159nteger:(produc8923325533196201883nteger->Prop)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775290>, <kernel.DependentProduct object at 0x17754d0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x17751b8>, <kernel.DependentProduct object at 0x1775560>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x17754d0>, <kernel.DependentProduct object at 0x17751b8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775560>, <kernel.DependentProduct object at 0x17754d0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x17751b8>, <kernel.DependentProduct object at 0x1775560>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x17754d0>, <kernel.DependentProduct object at 0x1775830>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring unique4921790084139445826nteger:(num->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775560>, <kernel.DependentProduct object at 0x17754d0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775830>, <kernel.DependentProduct object at 0x1775560>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x17754d0>, <kernel.DependentProduct object at 0x17751b8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Code____Numeral__Ointeger
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring semiri3624122377584611663nteger:(nat->code_integer)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775560>, <kernel.DependentProduct object at 0x1775a70>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x17751b8>, <kernel.DependentProduct object at 0x1775b00>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring semiri1406184849735516958ct_int:(nat->int)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775a70>, <kernel.DependentProduct object at 0x1775b90>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775b00>, <kernel.DependentProduct object at 0x1775c20>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Rat__Orat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring semiri773545260158071498ct_rat:(nat->rat)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775b90>, <kernel.DependentProduct object at 0x1775cb0>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775c20>, <kernel.DependentProduct object at 0x1775d40>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Complex__Ocomplex
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring invers8013647133539491842omplex:(complex->complex)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775878>, <kernel.DependentProduct object at 0x1775dd0>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring inverse_inverse_rat:(rat->rat)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775c68>, <kernel.DependentProduct object at 0x1775e18>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring inverse_inverse_real:(real->real)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775cf8>, <kernel.Constant object at 0x1775e18>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring at_bot_real:filter_real
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775dd0>, <kernel.Constant object at 0x1775e18>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring at_top_nat:filter_nat
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775cb0>, <kernel.Constant object at 0x1775e18>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring at_top_real:filter_real
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775c20>, <kernel.DependentProduct object at 0x1775dd0>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775cb0>, <kernel.DependentProduct object at 0x1775e18>) of role type named sy_c_Filter_Oeventually_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring eventu5826381225784669381omplex:((produc4411394909380815293omplex->Prop)->(filter6041513312241820739omplex->Prop))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775dd0>, <kernel.DependentProduct object at 0x1775d40>) of role type named sy_c_Filter_Oeventually_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring eventu1038000079068216329at_nat:((product_prod_nat_nat->Prop)->(filter1242075044329608583at_nat->Prop))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775e18>, <kernel.DependentProduct object at 0x17770e0>) of role type named sy_c_Filter_Oeventually_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring eventu3244425730907250241l_real:((produc2422161461964618553l_real->Prop)->(filter2146258269922977983l_real->Prop))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775dd0>, <kernel.DependentProduct object at 0x1777128>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775d40>, <kernel.DependentProduct object at 0x1777128>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775e18>, <kernel.DependentProduct object at 0x1777128>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775d40>, <kernel.DependentProduct object at 0x1777128>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1775dd0>, <kernel.DependentProduct object at 0x1777200>) of role type named sy_c_Filter_Ofiltermap_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring filtermap_real_real:((real->real)->(filter_real->filter_real))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777050>, <kernel.DependentProduct object at 0x1777170>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring princi3496590319149328850omplex:(set_Pr5085853215250843933omplex->filter6041513312241820739omplex)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777200>, <kernel.DependentProduct object at 0x1777248>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring princi6114159922880469582l_real:(set_Pr6218003697084177305l_real->filter2146258269922977983l_real)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1775dd0>, <kernel.DependentProduct object at 0x1777170>) of role type named sy_c_Filter_Oprod__filter_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring prod_filter_nat_nat:(filter_nat->(filter_nat->filter1242075044329608583at_nat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777050>, <kernel.DependentProduct object at 0x17773f8>) of role type named sy_c_Finite__Set_Ocard_001_Eo
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_card_o:(set_o->nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x17773b0>, <kernel.DependentProduct object at 0x1777200>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_card_complex:(set_complex->nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x17773f8>, <kernel.DependentProduct object at 0x17774d0>) of role type named sy_c_Finite__Set_Ocard_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_card_int:(set_int->nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777128>, <kernel.DependentProduct object at 0x1777518>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_card_nat:(set_nat->nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x17773f8>, <kernel.DependentProduct object at 0x1777560>) of role type named sy_c_Finite__Set_Ocard_001t__Product____Type__Ounit
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite410649719033368117t_unit:(set_Product_unit->nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777050>, <kernel.DependentProduct object at 0x17775f0>) of role type named sy_c_Finite__Set_Ocard_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_card_set_nat:(set_set_nat->nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x17774d0>, <kernel.DependentProduct object at 0x1777638>) of role type named sy_c_Finite__Set_Ocard_001t__String__Ochar
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_card_char:(set_char->nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777440>, <kernel.DependentProduct object at 0x1777680>) of role type named sy_c_Finite__Set_Ofinite_001_Eo
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_finite_o:(set_o->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777050>, <kernel.DependentProduct object at 0x17773f8>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777638>, <kernel.DependentProduct object at 0x1777710>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_finite_int:(set_int->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777440>, <kernel.DependentProduct object at 0x1777758>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_I_Eo_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_finite_list_o:(set_list_o->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777638>, <kernel.DependentProduct object at 0x17777a0>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Complex__Ocomplex_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite8712137658972009173omplex:(set_list_complex->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777758>, <kernel.DependentProduct object at 0x1777830>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Int__Oint_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite3922522038869484883st_int:(set_list_int->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x17777a0>, <kernel.DependentProduct object at 0x17778c0>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Nat__Onat_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite8100373058378681591st_nat:(set_list_nat->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777830>, <kernel.DependentProduct object at 0x1777950>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite3004134309566078307T_VEBT:(set_list_VEBT_VEBT->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x17777a0>, <kernel.DependentProduct object at 0x17779e0>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_finite_nat:(set_nat->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x17778c0>, <kernel.DependentProduct object at 0x1777a28>) of role type named sy_c_Finite__Set_Ofinite_001t__Num__Onum
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_finite_num:(set_num->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x17777a0>, <kernel.DependentProduct object at 0x1777a70>) of role type named sy_c_Finite__Set_Ofinite_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite2998713641127702882nt_int:(set_Pr958786334691620121nt_int->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x17778c0>, <kernel.DependentProduct object at 0x1777b00>) of role type named sy_c_Finite__Set_Ofinite_001t__Rat__Orat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_finite_rat:(set_rat->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777a28>, <kernel.DependentProduct object at 0x1777b48>) of role type named sy_c_Finite__Set_Ofinite_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_finite_real:(set_real->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x17778c0>, <kernel.DependentProduct object at 0x1777b90>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite6551019134538273531omplex:(set_set_complex->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777b48>, <kernel.DependentProduct object at 0x1777c20>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Int__Oint_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite6197958912794628473et_int:(set_set_int->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777b90>, <kernel.DependentProduct object at 0x1777cb0>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite1152437895449049373et_nat:(set_set_nat->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777c20>, <kernel.DependentProduct object at 0x1777d40>) of role type named sy_c_Finite__Set_Ofinite_001t__VEBT____Definitions__OVEBT
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite5795047828879050333T_VEBT:(set_VEBT_VEBT->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777cb0>, <kernel.DependentProduct object at 0x1777b90>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777e60>, <kernel.DependentProduct object at 0x1777cf8>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777ea8>, <kernel.DependentProduct object at 0x1777c20>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777e60>, <kernel.DependentProduct object at 0x1777ea8>) 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
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring comp_C8797469213163452608nteger:(((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->(code_integer->code_integer))->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777c20>, <kernel.DependentProduct object at 0x1777cb0>) 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
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring comp_C1593894019821074884nteger:((code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->code_integer)->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777ea8>, <kernel.DependentProduct object at 0x1777fc8>) of role type named sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring comp_C3531382070062128313er_num:((code_integer->code_integer)->((num->code_integer)->(num->code_integer)))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777cf8>, <kernel.DependentProduct object at 0x19011b8>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Int__Oint_001t__Num__Onum
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring comp_int_int_num:((int->int)->((num->int)->(num->int)))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777cb0>, <kernel.DependentProduct object at 0x1901200>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring comp_int_nat_int:((int->nat)->((int->int)->(int->nat)))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777ea8>, <kernel.DependentProduct object at 0x1901170>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring comp_nat_nat_nat:((nat->nat)->((nat->nat)->(nat->nat)))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777cb0>, <kernel.DependentProduct object at 0x1901248>) of role type named sy_c_Fun_Ostrict__mono__on_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring strict1292158309912662752at_nat:((nat->nat)->(set_nat->Prop))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1901200>, <kernel.DependentProduct object at 0x1901320>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777cf8>, <kernel.DependentProduct object at 0x19013b0>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring gcd_Gcd_int:(set_int->int)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1777cf8>, <kernel.DependentProduct object at 0x1901368>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring gcd_Gcd_nat:(set_nat->nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1901128>, <kernel.DependentProduct object at 0x1901050>) of role type named sy_c_GCD_Obezw
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bezw:(nat->(nat->product_prod_int_int))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x19010e0>, <kernel.DependentProduct object at 0x1901200>) of role type named sy_c_GCD_Obezw__rel
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bezw_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x19011b8>, <kernel.DependentProduct object at 0x1901128>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring gcd_gcd_int:(int->(int->int))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x19013f8>, <kernel.DependentProduct object at 0x19010e0>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring gcd_gcd_nat:(nat->(nat->nat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901488>, <kernel.DependentProduct object at 0x19011b8>) of role type named sy_c_GCD_Ogcd__nat__rel
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring gcd_nat_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x19013b0>, <kernel.DependentProduct object at 0x1901368>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901128>, <kernel.DependentProduct object at 0x1901560>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring abs_abs_complex:(complex->complex)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901518>, <kernel.DependentProduct object at 0x19015a8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring abs_abs_int:(int->int)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x19011b8>, <kernel.DependentProduct object at 0x19015f0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring abs_abs_rat:(rat->rat)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901368>, <kernel.DependentProduct object at 0x1901638>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring abs_abs_real:(real->real)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x19011b8>, <kernel.DependentProduct object at 0x19016c8>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_8727706125548526216plex_o:((complex->Prop)->((complex->Prop)->(complex->Prop)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901680>, <kernel.DependentProduct object at 0x1901710>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Int__Oint_M_Eo_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_minus_int_o:((int->Prop)->((int->Prop)->(int->Prop)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901758>, <kernel.DependentProduct object at 0x19017e8>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Nat__Onat_M_Eo_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_minus_nat_o:((nat->Prop)->((nat->Prop)->(nat->Prop)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901680>, <kernel.DependentProduct object at 0x1901830>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_711738161318947805_int_o:((product_prod_int_int->Prop)->((product_prod_int_int->Prop)->(product_prod_int_int->Prop)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901710>, <kernel.DependentProduct object at 0x19017a0>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Real__Oreal_M_Eo_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_minus_real_o:((real->Prop)->((real->Prop)->(real->Prop)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901680>, <kernel.DependentProduct object at 0x1901908>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_6910147592129066416_nat_o:((set_nat->Prop)->((set_nat->Prop)->(set_nat->Prop)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x19017a0>, <kernel.DependentProduct object at 0x1901680>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_8373710615458151222nteger:(code_integer->(code_integer->code_integer))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901950>, <kernel.DependentProduct object at 0x1901908>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x19017a0>, <kernel.DependentProduct object at 0x1901950>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Extended____Nat__Oenat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_3235023915231533773d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x19019e0>, <kernel.DependentProduct object at 0x1901908>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_minus_int:(int->(int->int))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901830>, <kernel.DependentProduct object at 0x19017a0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901ab8>, <kernel.DependentProduct object at 0x19019e0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_minus_rat:(rat->(rat->rat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901680>, <kernel.DependentProduct object at 0x1901830>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_minus_real:(real->(real->real))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901ab8>, <kernel.DependentProduct object at 0x1901680>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901950>, <kernel.DependentProduct object at 0x1901830>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901998>, <kernel.DependentProduct object at 0x1901ab8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901950>, <kernel.DependentProduct object at 0x1901680>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_1052850069191792384nt_int:(set_Pr958786334691620121nt_int->(set_Pr958786334691620121nt_int->set_Pr958786334691620121nt_int))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901a70>, <kernel.DependentProduct object at 0x1901ab8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901950>, <kernel.DependentProduct object at 0x1901a70>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_2163939370556025621et_nat:(set_set_nat->(set_set_nat->set_set_nat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901ab8>, <kernel.DependentProduct object at 0x1901950>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_5127226145743854075T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901998>, <kernel.Constant object at 0x1901950>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring one_one_Code_integer:code_integer
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1901e18>, <kernel.Constant object at 0x1901950>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring one_one_complex:complex
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1901998>, <kernel.Constant object at 0x1901830>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1901e60>, <kernel.Constant object at 0x1901830>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring one_one_int:int
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1901ef0>, <kernel.Constant object at 0x1901830>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring one_one_nat:nat
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1901f38>, <kernel.Constant object at 0x1901830>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring one_one_rat:rat
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1901f80>, <kernel.Constant object at 0x1901830>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring one_one_real:real
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1901f38>, <kernel.DependentProduct object at 0x1901fc8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1901f80>, <kernel.DependentProduct object at 0x19030e0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1901f80>, <kernel.DependentProduct object at 0x1903248>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1901fc8>, <kernel.DependentProduct object at 0x1903128>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring plus_plus_int:(int->(int->int))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1901f80>, <kernel.DependentProduct object at 0x1903098>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1901fc8>, <kernel.DependentProduct object at 0x19032d8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring plus_plus_num:(num->(num->num))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1901fc8>, <kernel.DependentProduct object at 0x1903320>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x19031b8>, <kernel.DependentProduct object at 0x1903248>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring plus_plus_real:(real->(real->real))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1903200>, <kernel.DependentProduct object at 0x1903128>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x19032d8>, <kernel.DependentProduct object at 0x1903098>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring sgn_sgn_complex:(complex->complex)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1903320>, <kernel.DependentProduct object at 0x1903488>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring sgn_sgn_int:(int->int)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1903248>, <kernel.DependentProduct object at 0x19034d0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring sgn_sgn_rat:(rat->rat)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1903128>, <kernel.DependentProduct object at 0x1903518>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring sgn_sgn_real:(real->real)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1903248>, <kernel.DependentProduct object at 0x1903128>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1903560>, <kernel.DependentProduct object at 0x1903518>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring times_times_complex:(complex->(complex->complex))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1903248>, <kernel.DependentProduct object at 0x1903560>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1903638>, <kernel.DependentProduct object at 0x1903518>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring times_times_int:(int->(int->int))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1903098>, <kernel.DependentProduct object at 0x1903248>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring times_times_nat:(nat->(nat->nat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1903710>, <kernel.DependentProduct object at 0x1903638>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring times_times_num:(num->(num->num))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1903128>, <kernel.DependentProduct object at 0x1903098>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring times_times_rat:(rat->(rat->rat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x19035f0>, <kernel.DependentProduct object at 0x1903710>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring times_times_real:(real->(real->real))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1903128>, <kernel.DependentProduct object at 0x19035f0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring uminus1680532995456772888plex_o:((complex->Prop)->(complex->Prop))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1903638>, <kernel.DependentProduct object at 0x1903710>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Int__Oint_M_Eo_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring uminus_uminus_int_o:((int->Prop)->(int->Prop))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x19035f0>, <kernel.DependentProduct object at 0x1903128>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Nat__Onat_M_Eo_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring uminus_uminus_nat_o:((nat->Prop)->(nat->Prop))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1903638>, <kernel.DependentProduct object at 0x19035f0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring uminus7117520113953359693_int_o:((product_prod_int_int->Prop)->(product_prod_int_int->Prop))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1903518>, <kernel.DependentProduct object at 0x1903128>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Real__Oreal_M_Eo_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring uminus_uminus_real_o:((real->Prop)->(real->Prop))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1903638>, <kernel.DependentProduct object at 0x1903518>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring uminus6401447641752708672_nat_o:((set_nat->Prop)->(set_nat->Prop))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1903128>, <kernel.DependentProduct object at 0x1903ab8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1903518>, <kernel.DependentProduct object at 0x1903b48>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1903950>, <kernel.DependentProduct object at 0x1903bd8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus_uminus_int:(int->int)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x19039e0>, <kernel.DependentProduct object at 0x1903c20>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus_uminus_rat:(rat->rat)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1903b00>, <kernel.DependentProduct object at 0x1903c68>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus_uminus_real:(real->real)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x19039e0>, <kernel.DependentProduct object at 0x1903cb0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus8566677241136511917omplex:(set_complex->set_complex)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1903c68>, <kernel.DependentProduct object at 0x1903d40>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Int__Oint_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus1532241313380277803et_int:(set_int->set_int)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1903cb0>, <kernel.DependentProduct object at 0x1903dd0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1903d40>, <kernel.DependentProduct object at 0x1903cb0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus6221592323253981072nt_int:(set_Pr958786334691620121nt_int->set_Pr958786334691620121nt_int)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1903dd0>, <kernel.DependentProduct object at 0x1903ef0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Real__Oreal_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus612125837232591019t_real:(set_real->set_real)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1903cb0>, <kernel.DependentProduct object at 0x1903f80>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus613421341184616069et_nat:(set_set_nat->set_set_nat)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1903ef0>, <kernel.DependentProduct object at 0x1909050>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus8041839845116263051T_VEBT:(set_VEBT_VEBT->set_VEBT_VEBT)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1903f80>, <kernel.Constant object at 0x1903fc8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring zero_z3403309356797280102nteger:code_integer
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1903cb0>, <kernel.Constant object at 0x1903d88>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring zero_zero_complex:complex
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1903d88>, <kernel.Constant object at 0x1909098>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1903cb0>, <kernel.Constant object at 0x19090e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring zero_zero_int:int
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1903d88>, <kernel.Constant object at 0x19090e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring zero_zero_nat:nat
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1903cb0>, <kernel.Constant object at 0x19090e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring zero_zero_rat:rat
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1903cb0>, <kernel.Constant object at 0x19090e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring zero_zero_real:real
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1909200>, <kernel.DependentProduct object at 0x1909170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001_Eo_001t__Nat__Onat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring groups8507830703676809646_o_nat:((Prop->nat)->(set_o->nat))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x19090e0>, <kernel.DependentProduct object at 0x1909368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring groups6621422865394947399nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1909170>, <kernel.DependentProduct object at 0x1909200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1909368>, <kernel.DependentProduct object at 0x19090e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1909200>, <kernel.DependentProduct object at 0x1909170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x19090e0>, <kernel.DependentProduct object at 0x1909368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring groups5058264527183730370ex_rat:((complex->rat)->(set_complex->rat))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1909170>, <kernel.DependentProduct object at 0x1909200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1909368>, <kernel.DependentProduct object at 0x19090e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring groups7873554091576472773nteger:((int->code_integer)->(set_int->code_integer))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1909200>, <kernel.DependentProduct object at 0x1909170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Complex__Ocomplex
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring groups3049146728041665814omplex:((int->complex)->(set_int->complex))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x19090e0>, <kernel.DependentProduct object at 0x1909368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1909170>, <kernel.DependentProduct object at 0x1909200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1909368>, <kernel.DependentProduct object at 0x19090e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Rat__Orat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring groups3906332499630173760nt_rat:((int->rat)->(set_int->rat))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x1909200>, <kernel.DependentProduct object at 0x1909170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x19090e0>, <kernel.DependentProduct object at 0x1909368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups7501900531339628137nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x1909170>, <kernel.DependentProduct object at 0x1909200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x1909368>, <kernel.DependentProduct object at 0x19090e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x1909200>, <kernel.DependentProduct object at 0x1909170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x19090e0>, <kernel.DependentProduct object at 0x1909368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Rat__Orat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups2906978787729119204at_rat:((nat->rat)->(set_nat->rat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x1909170>, <kernel.DependentProduct object at 0x1909200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x1909368>, <kernel.DependentProduct object at 0x19090e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups7713935264441627589nteger:((real->code_integer)->(set_real->code_integer))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x1909200>, <kernel.DependentProduct object at 0x1909170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups5754745047067104278omplex:((real->complex)->(set_real->complex))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x19090e0>, <kernel.DependentProduct object at 0x1909368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Int__Oint
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups1932886352136224148al_int:((real->int)->(set_real->int))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x1909170>, <kernel.DependentProduct object at 0x1909200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x1909368>, <kernel.DependentProduct object at 0x19090e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Rat__Orat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups1300246762558778688al_rat:((real->rat)->(set_real->rat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x1909200>, <kernel.DependentProduct object at 0x1909368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x1909200>, <kernel.DependentProduct object at 0x190d050>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Complex__Ocomplex
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups8255218700646806128omplex:((set_nat->complex)->(set_set_nat->complex))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x1909200>, <kernel.DependentProduct object at 0x190d170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups8294997508430121362at_nat:((set_nat->nat)->(set_set_nat->nat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x1909248>, <kernel.DependentProduct object at 0x190d1b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Real__Oreal
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups5107569545109728110t_real:((set_nat->real)->(set_set_nat->real))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x190d248>, <kernel.DependentProduct object at 0x190d290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups769130701875090982BT_int:((vEBT_VEBT->int)->(set_VEBT_VEBT->int))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x190d320>, <kernel.DependentProduct object at 0x190d200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups771621172384141258BT_nat:((vEBT_VEBT->nat)->(set_VEBT_VEBT->nat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x190d2d8>, <kernel.DependentProduct object at 0x190d248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Rat__Orat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups136491112297645522BT_rat:((vEBT_VEBT->rat)->(set_VEBT_VEBT->rat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x190d3b0>, <kernel.DependentProduct object at 0x190d440>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups2240296850493347238T_real:((vEBT_VEBT->real)->(set_VEBT_VEBT->real))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x190d2d8>, <kernel.DependentProduct object at 0x190d320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x190d440>, <kernel.DependentProduct object at 0x190d3b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x190d320>, <kernel.DependentProduct object at 0x190d2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x190d3b0>, <kernel.DependentProduct object at 0x190d320>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Int__Oint
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups9116527308978886569_o_int:((Prop->int)->(int->(list_o->int)))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x190d368>, <kernel.DependentProduct object at 0x190d830>) of role type named sy_c_HOL_OThe_001t__Int__Oint
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring the_int:((int->Prop)->int)
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x190d7a0>, <kernel.DependentProduct object at 0x190d758>) of role type named sy_c_HOL_OThe_001t__Real__Oreal
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring the_real:((real->Prop)->real)
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x190d0e0>, <kernel.DependentProduct object at 0x190d7a0>) of role type named sy_c_If_001t__Code____Numeral__Ointeger
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring if_Code_integer:(Prop->(code_integer->(code_integer->code_integer)))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x190d7e8>, <kernel.DependentProduct object at 0x190d758>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x190d908>, <kernel.DependentProduct object at 0x190d7e8>) of role type named sy_c_If_001t__Extended____Nat__Oenat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring if_Extended_enat:(Prop->(extended_enat->(extended_enat->extended_enat)))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x190d950>, <kernel.DependentProduct object at 0x190d7e8>) of role type named sy_c_If_001t__Int__Oint
% 0.54/0.72 Using role type
% 0.54/0.73 Declaring if_int:(Prop->(int->(int->int)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190d8c0>, <kernel.DependentProduct object at 0x190d7e8>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190da28>, <kernel.DependentProduct object at 0x190d7e8>) of role type named sy_c_If_001t__Nat__Onat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190da70>, <kernel.DependentProduct object at 0x190d7e8>) of role type named sy_c_If_001t__Num__Onum
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_num:(Prop->(num->(num->num)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190dab8>, <kernel.DependentProduct object at 0x190d7e8>) of role type named sy_c_If_001t__Option__Ooption_It__Nat__Onat_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_option_nat:(Prop->(option_nat->(option_nat->option_nat)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190db00>, <kernel.DependentProduct object at 0x190d7e8>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190dab8>, <kernel.DependentProduct object at 0x190d368>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_Pro5737122678794959658eger_o:(Prop->(produc6271795597528267376eger_o->(produc6271795597528267376eger_o->produc6271795597528267376eger_o)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190d7e8>, <kernel.DependentProduct object at 0x190d0e0>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190d368>, <kernel.DependentProduct object at 0x190d998>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190d0e0>, <kernel.DependentProduct object at 0x190db00>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190dcb0>, <kernel.DependentProduct object at 0x190db00>) of role type named sy_c_If_001t__Rat__Orat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190dd40>, <kernel.DependentProduct object at 0x190db00>) of role type named sy_c_If_001t__Real__Oreal
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_real:(Prop->(real->(real->real)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190de18>, <kernel.DependentProduct object at 0x190db00>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190de60>, <kernel.DependentProduct object at 0x190db00>) of role type named sy_c_If_001t__VEBT____Definitions__OVEBT
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_VEBT_VEBT:(Prop->(vEBT_VEBT->(vEBT_VEBT->vEBT_VEBT)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190d320>, <kernel.DependentProduct object at 0x190de60>) of role type named sy_c_Int_Oint__ge__less__than
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring int_ge_less_than:(int->set_Pr958786334691620121nt_int)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190dea8>, <kernel.DependentProduct object at 0x190db00>) of role type named sy_c_Int_Oint__ge__less__than2
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring int_ge_less_than2:(int->set_Pr958786334691620121nt_int)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190dd40>, <kernel.DependentProduct object at 0x190ddd0>) of role type named sy_c_Int_Onat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring nat2:(int->nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190db00>, <kernel.Constant object at 0x190ddd0>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Real__Oreal
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring ring_1_Ints_real:set_real
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190dd40>, <kernel.DependentProduct object at 0x190df80>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190ddd0>, <kernel.DependentProduct object at 0x1910050>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190dea8>, <kernel.DependentProduct object at 0x19100e0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring ring_1_of_int_int:(int->int)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190dfc8>, <kernel.DependentProduct object at 0x1910128>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Rat__Orat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring ring_1_of_int_rat:(int->rat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190df80>, <kernel.DependentProduct object at 0x1910170>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring ring_1_of_int_real:(int->real)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190df80>, <kernel.DependentProduct object at 0x19101b8>) of role type named sy_c_Lattices_Osemilattice__neutr__order_001t__Nat__Onat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring semila1623282765462674594er_nat:((nat->(nat->nat))->(nat->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190df80>, <kernel.DependentProduct object at 0x19102d8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Extended____Nat__Oenat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring sup_su3973961784419623482d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190dea8>, <kernel.DependentProduct object at 0x19101b8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Int__Oint
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring sup_sup_int:(int->(int->int))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190df80>, <kernel.DependentProduct object at 0x1910098>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring sup_sup_nat:(nat->(nat->nat))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x190df80>, <kernel.DependentProduct object at 0x1910320>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring sup_sup_set_nat:(set_nat->(set_nat->set_nat))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x1910248>, <kernel.DependentProduct object at 0x19100e0>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Set__Oset_I_Eo_J_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring sup_sup_set_set_o:(set_set_o->(set_set_o->set_set_o))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x1910170>, <kernel.DependentProduct object at 0x1910290>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring sup_sup_set_set_int:(set_set_int->(set_set_int->set_set_int))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x19102d8>, <kernel.DependentProduct object at 0x1910248>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring sup_sup_set_set_nat:(set_set_nat->(set_set_nat->set_set_nat))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x1910170>, <kernel.DependentProduct object at 0x1910098>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Int__Oint
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring lattic8263393255366662781ax_int:(set_int->int)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x1910248>, <kernel.DependentProduct object at 0x1910518>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x19101b8>, <kernel.DependentProduct object at 0x19104d0>) of role type named sy_c_Limits_OBfun_001t__Nat__Onat_001t__Real__Oreal
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring bfun_nat_real:((nat->real)->(filter_nat->Prop))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910518>, <kernel.Constant object at 0x19104d0>) of role type named sy_c_Limits_Oat__infinity_001t__Real__Oreal
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring at_infinity_real:filter_real
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x19103b0>, <kernel.DependentProduct object at 0x1910518>) of role type named sy_c_List_Oappend_001t__Int__Oint
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring append_int:(list_int->(list_int->list_int))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x19105a8>, <kernel.DependentProduct object at 0x1910710>) of role type named sy_c_List_Odistinct_001t__Int__Oint
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring distinct_int:(list_int->Prop)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x19104d0>, <kernel.DependentProduct object at 0x19101b8>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring cons_int:(int->(list_int->list_int))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x19106c8>, <kernel.Constant object at 0x19101b8>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nil_int:list_int
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x19105a8>, <kernel.DependentProduct object at 0x1910710>) of role type named sy_c_List_Olist_Oset_001_Eo
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring set_o2:(list_o->set_o)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910320>, <kernel.DependentProduct object at 0x19107a0>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring set_complex2:(list_complex->set_complex)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910518>, <kernel.DependentProduct object at 0x19107e8>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring set_int2:(list_int->set_int)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x19101b8>, <kernel.DependentProduct object at 0x1910830>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring set_nat2:(list_nat->set_nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910710>, <kernel.DependentProduct object at 0x1910878>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring set_real2:(list_real->set_real)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x19107a0>, <kernel.DependentProduct object at 0x19108c0>) of role type named sy_c_List_Olist_Oset_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring set_set_nat2:(list_set_nat->set_set_nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x19107e8>, <kernel.DependentProduct object at 0x1910908>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910830>, <kernel.DependentProduct object at 0x1910878>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910680>, <kernel.DependentProduct object at 0x1910830>) of role type named sy_c_List_Olist__update_001_Eo
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring list_update_o:(list_o->(nat->(Prop->list_o)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x19101b8>, <kernel.DependentProduct object at 0x19107e8>) of role type named sy_c_List_Olist__update_001t__Complex__Ocomplex
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring list_update_complex:(list_complex->(nat->(complex->list_complex)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x19109e0>, <kernel.DependentProduct object at 0x1910878>) of role type named sy_c_List_Olist__update_001t__Int__Oint
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring list_update_int:(list_int->(nat->(int->list_int)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910b00>, <kernel.DependentProduct object at 0x19101b8>) of role type named sy_c_List_Olist__update_001t__Nat__Onat
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring list_update_nat:(list_nat->(nat->(nat->list_nat)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910b48>, <kernel.DependentProduct object at 0x19109e0>) of role type named sy_c_List_Olist__update_001t__Real__Oreal
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring list_update_real:(list_real->(nat->(real->list_real)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910b90>, <kernel.DependentProduct object at 0x1910b00>) of role type named sy_c_List_Olist__update_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring list_update_set_nat:(list_set_nat->(nat->(set_nat->list_set_nat)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910b48>, <kernel.DependentProduct object at 0x1910b90>) of role type named sy_c_List_Olist__update_001t__VEBT____Definitions__OVEBT
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring list_u1324408373059187874T_VEBT:(list_VEBT_VEBT->(nat->(vEBT_VEBT->list_VEBT_VEBT)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910c20>, <kernel.DependentProduct object at 0x1910b00>) of role type named sy_c_List_Onth_001_Eo
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nth_o:(list_o->(nat->Prop))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910bd8>, <kernel.DependentProduct object at 0x1910b48>) of role type named sy_c_List_Onth_001t__Code____Numeral__Ointeger
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nth_Code_integer:(list_Code_integer->(nat->code_integer))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910c68>, <kernel.DependentProduct object at 0x1910c20>) of role type named sy_c_List_Onth_001t__Complex__Ocomplex
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nth_complex:(list_complex->(nat->complex))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x19107a0>, <kernel.DependentProduct object at 0x1910c68>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nth_int:(list_int->(nat->int))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910950>, <kernel.DependentProduct object at 0x1910c20>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nth_nat:(list_nat->(nat->nat))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910b90>, <kernel.DependentProduct object at 0x19107a0>) of role type named sy_c_List_Onth_001t__Num__Onum
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nth_num:(list_num->(nat->num))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910b48>, <kernel.DependentProduct object at 0x1910bd8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nth_Product_prod_o_o:(list_P4002435161011370285od_o_o->(nat->product_prod_o_o))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910950>, <kernel.DependentProduct object at 0x1910b48>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nth_Pr1649062631805364268_o_int:(list_P3795440434834930179_o_int->(nat->product_prod_o_int))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910bd8>, <kernel.DependentProduct object at 0x1910950>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nth_Pr6777367263587873994T_VEBT:(list_P7495141550334521929T_VEBT->(nat->produc2504756804600209347T_VEBT))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910b48>, <kernel.DependentProduct object at 0x1910bd8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nth_Pr8522763379788166057eger_o:(list_P8526636022914148096eger_o->(nat->produc6271795597528267376eger_o))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910950>, <kernel.DependentProduct object at 0x1910b48>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nth_Pr7617993195940197384at_nat:(list_P6011104703257516679at_nat->(nat->product_prod_nat_nat))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910bd8>, <kernel.DependentProduct object at 0x1910950>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nth_Pr8326237132889035090at_num:(list_P1726324292696863441at_num->(nat->product_prod_nat_num))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x1910b48>, <kernel.DependentProduct object at 0x1910c20>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nth_Pr6456567536196504476um_num:(list_P3744719386663036955um_num->(nat->product_prod_num_num))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1910b48>, <kernel.DependentProduct object at 0x19130e0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1910b48>, <kernel.DependentProduct object at 0x1913200>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_Pr6837108013167703752BT_int:(list_P4547456442757143711BT_int->(nat->produc4894624898956917775BT_int))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x19107a0>, <kernel.DependentProduct object at 0x1913290>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1910fc8>, <kernel.DependentProduct object at 0x19132d8>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_real:(list_real->(nat->real))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1910b48>, <kernel.DependentProduct object at 0x1913368>) of role type named sy_c_List_Onth_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_set_nat:(list_set_nat->(nat->set_nat))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1910b48>, <kernel.DependentProduct object at 0x1913128>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1913320>, <kernel.DependentProduct object at 0x1913248>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1913488>, <kernel.DependentProduct object at 0x19133f8>) of role type named sy_c_List_Oproduct_001_Eo_001t__Int__Oint
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_o_int:(list_o->(list_int->list_P3795440434834930179_o_int))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x19134d0>, <kernel.DependentProduct object at 0x1913128>) of role type named sy_c_List_Oproduct_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1913488>, <kernel.DependentProduct object at 0x19134d0>) of role type named sy_c_List_Oproduct_001t__Code____Numeral__Ointeger_001_Eo
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring produc3607205314601156340eger_o:(list_Code_integer->(list_o->list_P8526636022914148096eger_o))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x19130e0>, <kernel.DependentProduct object at 0x1913128>) of role type named sy_c_List_Oproduct_001t__Int__Oint_001_Eo
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_int_o:(list_int->(list_o->list_P5087981734274514673_int_o))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x19135a8>, <kernel.DependentProduct object at 0x1913488>) of role type named sy_c_List_Oproduct_001t__Int__Oint_001t__Int__Oint
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_int_int:(list_int->(list_int->list_P5707943133018811711nt_int))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x19130e0>, <kernel.DependentProduct object at 0x19135a8>) of role type named sy_c_List_Oproduct_001t__Int__Oint_001t__VEBT____Definitions__OVEBT
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring produc662631939642741121T_VEBT:(list_int->(list_VEBT_VEBT->list_P7524865323317820941T_VEBT))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x19135f0>, <kernel.DependentProduct object at 0x1913488>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__Nat__Onat
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_nat_nat:(list_nat->(list_nat->list_P6011104703257516679at_nat))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x19136c8>, <kernel.DependentProduct object at 0x19130e0>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__Num__Onum
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_nat_num:(list_nat->(list_num->list_P1726324292696863441at_num))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1913638>, <kernel.DependentProduct object at 0x19135f0>) of role type named sy_c_List_Oproduct_001t__Num__Onum_001t__Num__Onum
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_num_num:(list_num->(list_num->list_P3744719386663036955um_num))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1913710>, <kernel.DependentProduct object at 0x19136c8>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1913638>, <kernel.DependentProduct object at 0x1913710>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring produc7292646706713671643BT_int:(list_VEBT_VEBT->(list_int->list_P4547456442757143711BT_int))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x19136c8>, <kernel.DependentProduct object at 0x1913638>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1913878>, <kernel.DependentProduct object at 0x19137e8>) of role type named sy_c_List_Oreplicate_001_Eo
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring replicate_o:(nat->(Prop->list_o))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x19138c0>, <kernel.DependentProduct object at 0x19136c8>) of role type named sy_c_List_Oreplicate_001t__Complex__Ocomplex
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring replicate_complex:(nat->(complex->list_complex))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1913710>, <kernel.DependentProduct object at 0x1913878>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring replicate_int:(nat->(int->list_int))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1913950>, <kernel.DependentProduct object at 0x19138c0>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1913758>, <kernel.DependentProduct object at 0x1913710>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring replicate_real:(nat->(real->list_real))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1913638>, <kernel.DependentProduct object at 0x1913950>) of role type named sy_c_List_Oreplicate_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring replicate_set_nat:(nat->(set_nat->list_set_nat))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x19137e8>, <kernel.DependentProduct object at 0x1913758>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x19136c8>, <kernel.DependentProduct object at 0x1913638>) of role type named sy_c_List_Oupto
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring upto:(int->(int->list_int))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1913878>, <kernel.DependentProduct object at 0x19137e8>) of role type named sy_c_List_Oupto__aux
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1913710>, <kernel.DependentProduct object at 0x19136c8>) of role type named sy_c_List_Oupto__rel
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring upto_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1913b90>, <kernel.DependentProduct object at 0x19138c0>) of role type named sy_c_Nat_OSuc
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring suc:(nat->nat)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x1913638>, <kernel.DependentProduct object at 0x1913c68>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x19133b0>, <kernel.DependentProduct object at 0x1913cf8>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.54/0.75 Using role type
% 0.54/0.76 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1913710>, <kernel.DependentProduct object at 0x1913cb0>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1913bd8>, <kernel.DependentProduct object at 0x1913d40>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Option__Ooption_It__Num__Onum_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring case_nat_option_num:(option_num->((nat->option_num)->(nat->option_num)))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1913d88>, <kernel.DependentProduct object at 0x1913c68>) of role type named sy_c_Nat_Onat_Opred
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring pred:(nat->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1913bd8>, <kernel.DependentProduct object at 0x1913dd0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1913c68>, <kernel.DependentProduct object at 0x1913b90>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1913dd0>, <kernel.DependentProduct object at 0x1913e60>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Extended____Nat__Oenat
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring semiri4216267220026989637d_enat:(nat->extended_enat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1913b90>, <kernel.DependentProduct object at 0x1913ef0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1913e60>, <kernel.DependentProduct object at 0x1913f80>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1913ef0>, <kernel.DependentProduct object at 0x1915050>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1913f80>, <kernel.DependentProduct object at 0x19150e0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x19133b0>, <kernel.DependentProduct object at 0x1915170>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_size_list_o:(list_o->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x19133b0>, <kernel.DependentProduct object at 0x19151b8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_s3445333598471063425nteger:(list_Code_integer->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1913e60>, <kernel.DependentProduct object at 0x1915248>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x19133b0>, <kernel.DependentProduct object at 0x19152d8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_size_list_int:(list_int->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1913f80>, <kernel.DependentProduct object at 0x1915320>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_size_list_nat:(list_nat->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1913f80>, <kernel.DependentProduct object at 0x1915368>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Num__Onum_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_size_list_num:(list_num->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x19151b8>, <kernel.DependentProduct object at 0x19153b0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_s1515746228057227161od_o_o:(list_P4002435161011370285od_o_o->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915368>, <kernel.DependentProduct object at 0x1915440>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_s2953683556165314199_o_int:(list_P3795440434834930179_o_int->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x19153b0>, <kernel.DependentProduct object at 0x19154d0>) 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
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_s4313452262239582901T_VEBT:(list_P7495141550334521929T_VEBT->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915440>, <kernel.DependentProduct object at 0x1915560>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_M_Eo_J_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_s4246224855604898693_int_o:(list_P5087981734274514673_int_o->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x19154d0>, <kernel.DependentProduct object at 0x19155f0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_s5157815400016825771nt_int:(list_P5707943133018811711nt_int->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915560>, <kernel.DependentProduct object at 0x1915680>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__VEBT____Definitions__OVEBT_J_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_s6639371672096860321T_VEBT:(list_P7524865323317820941T_VEBT->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x19155f0>, <kernel.DependentProduct object at 0x1915710>) 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
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_s9168528473962070013VEBT_o:(list_P3126845725202233233VEBT_o->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915680>, <kernel.DependentProduct object at 0x19157a0>) 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
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_s3661962791536183091BT_int:(list_P4547456442757143711BT_int->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915710>, <kernel.DependentProduct object at 0x1915830>) 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
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_s7466405169056248089T_VEBT:(list_P7413028617227757229T_VEBT->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915758>, <kernel.DependentProduct object at 0x19158c0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_size_list_real:(list_real->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915710>, <kernel.DependentProduct object at 0x1915908>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_s3254054031482475050et_nat:(list_set_nat->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x19158c0>, <kernel.DependentProduct object at 0x1915998>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x19155f0>, <kernel.DependentProduct object at 0x1915a28>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_size_num:(num->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x19157a0>, <kernel.DependentProduct object at 0x1915a70>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Nat__Onat_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_size_option_nat:(option_nat->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915950>, <kernel.DependentProduct object at 0x1915ab8>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_size_option_num:(option_num->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x19157a0>, <kernel.DependentProduct object at 0x1915b00>) 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
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915a70>, <kernel.DependentProduct object at 0x1915b90>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x19158c0>, <kernel.DependentProduct object at 0x19157a0>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915a70>, <kernel.DependentProduct object at 0x19158c0>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915290>, <kernel.DependentProduct object at 0x1915cf8>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring nat_set_decode:(nat->set_nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915b48>, <kernel.DependentProduct object at 0x1915d40>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring nat_set_encode:(set_nat->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915bd8>, <kernel.DependentProduct object at 0x1915d88>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring nat_triangle:(nat->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915b90>, <kernel.DependentProduct object at 0x19157a0>) of role type named sy_c_NthRoot_Oroot
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring root:(nat->(real->real))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915290>, <kernel.DependentProduct object at 0x1915dd0>) of role type named sy_c_NthRoot_Osqrt
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring sqrt:(real->real)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915cf8>, <kernel.DependentProduct object at 0x1915d88>) of role type named sy_c_Num_OBitM
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring bitM:(num->num)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915bd8>, <kernel.DependentProduct object at 0x1915e60>) of role type named sy_c_Num_Oinc
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring inc:(num->num)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915cf8>, <kernel.DependentProduct object at 0x1915ea8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915e60>, <kernel.DependentProduct object at 0x1915f38>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x19157a0>, <kernel.DependentProduct object at 0x1915fc8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring neg_numeral_dbl_int:(int->int)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915290>, <kernel.DependentProduct object at 0x1d3a050>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915ef0>, <kernel.DependentProduct object at 0x1d3a098>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring neg_numeral_dbl_real:(real->real)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x1915290>, <kernel.DependentProduct object at 0x1d3a0e0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x1915ea8>, <kernel.DependentProduct object at 0x1d3a170>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x1915ea8>, <kernel.DependentProduct object at 0x1d3a200>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x1915fc8>, <kernel.DependentProduct object at 0x1d3a290>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x1d3a170>, <kernel.DependentProduct object at 0x1d3a320>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x1d3a098>, <kernel.DependentProduct object at 0x1d3a3b0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Code____Numeral__Ointeger
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring neg_nu5831290666863070958nteger:(code_integer->code_integer)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x1d3a200>, <kernel.DependentProduct object at 0x1d3a440>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Complex__Ocomplex
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring neg_nu8557863876264182079omplex:(complex->complex)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x1d3a0e0>, <kernel.DependentProduct object at 0x1d3a4d0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Int__Oint
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring neg_nu5851722552734809277nc_int:(int->int)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x1d3a200>, <kernel.DependentProduct object at 0x1d3a560>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Rat__Orat
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring neg_nu5219082963157363817nc_rat:(rat->rat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x1d3a4d0>, <kernel.DependentProduct object at 0x1d3a5f0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Real__Oreal
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring neg_nu8295874005876285629c_real:(real->real)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x1d3a170>, <kernel.DependentProduct object at 0x1d3a560>) of role type named sy_c_Num_Oneg__numeral__class_Osub_001t__Int__Oint
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring neg_numeral_sub_int:(num->(num->int))
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x1d3a680>, <kernel.DependentProduct object at 0x1d3a6c8>) of role type named sy_c_Num_Onum_OBit0
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring bit0:(num->num)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x1d3a5a8>, <kernel.DependentProduct object at 0x1d3a518>) of role type named sy_c_Num_Onum_OBit1
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring bit1:(num->num)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x1d3a5f0>, <kernel.Constant object at 0x1d3a518>) of role type named sy_c_Num_Onum_OOne
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring one:num
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x1d3a6c8>, <kernel.DependentProduct object at 0x1d3a830>) of role type named sy_c_Num_Onum_Ocase__num_001t__Option__Ooption_It__Num__Onum_J
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring case_num_option_num:(option_num->((num->option_num)->((num->option_num)->(num->option_num))))
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x1d3a7e8>, <kernel.DependentProduct object at 0x1d3a7a0>) of role type named sy_c_Num_Onum_Osize__num
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_num:(num->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x1d3a4d0>, <kernel.DependentProduct object at 0x1d3a5a8>) of role type named sy_c_Num_Onum__of__nat
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring num_of_nat:(nat->num)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x1d3a7e8>, <kernel.DependentProduct object at 0x1d3a170>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x1d3a5a8>, <kernel.DependentProduct object at 0x1d3a908>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring numera6690914467698888265omplex:(num->complex)
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1d3a170>, <kernel.DependentProduct object at 0x1d3a998>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1d3a518>, <kernel.DependentProduct object at 0x1d3aa28>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring numeral_numeral_int:(num->int)
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1d3a950>, <kernel.DependentProduct object at 0x1d3aa70>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring numeral_numeral_nat:(num->nat)
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1d3a560>, <kernel.DependentProduct object at 0x1d3aab8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring numeral_numeral_rat:(num->rat)
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1d3a998>, <kernel.DependentProduct object at 0x1d3ab00>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring numeral_numeral_real:(num->real)
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1d3aa28>, <kernel.DependentProduct object at 0x1d3a560>) of role type named sy_c_Num_Opow
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring pow:(num->(num->num))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1d3ab48>, <kernel.DependentProduct object at 0x1d3ab90>) of role type named sy_c_Num_Opred__numeral
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring pred_numeral:(num->nat)
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1d3aab8>, <kernel.Constant object at 0x1d3ab90>) of role type named sy_c_Option_Ooption_ONone_001t__Nat__Onat
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring none_nat:option_nat
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1d3a560>, <kernel.Constant object at 0x1d3ab90>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring none_num:option_num
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1d3aab8>, <kernel.Constant object at 0x1d3abd8>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1d3aa70>, <kernel.DependentProduct object at 0x1d3acf8>) of role type named sy_c_Option_Ooption_OSome_001t__Nat__Onat
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring some_nat:(nat->option_nat)
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1d3a998>, <kernel.DependentProduct object at 0x1d3ad40>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring some_num:(num->option_num)
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1d3aa70>, <kernel.DependentProduct object at 0x1d3a998>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1d3ad40>, <kernel.DependentProduct object at 0x1d3ae18>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1d3ae60>, <kernel.DependentProduct object at 0x1d3af38>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Int__Oint_001t__Num__Onum
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring case_option_int_num:(int->((num->int)->(option_num->int)))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1d3aef0>, <kernel.DependentProduct object at 0x1d3af80>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.61/0.77 Using role type
% 0.61/0.77 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.61/0.77 FOF formula (<kernel.Constant object at 0x1d3ae60>, <kernel.DependentProduct object at 0x1d3a998>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d3aa70>, <kernel.DependentProduct object at 0x1d3ad88>) of role type named sy_c_Option_Ooption_Osize__option_001t__Nat__Onat
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring size_option_nat:((nat->nat)->(option_nat->nat))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d3af80>, <kernel.DependentProduct object at 0x1d3afc8>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d3aa70>, <kernel.DependentProduct object at 0x1d3ad40>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d3af80>, <kernel.DependentProduct object at 0x1d1f098>) of role type named sy_c_Option_Ooption_Othe_001t__Nat__Onat
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring the_nat:(option_nat->nat)
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d3ad88>, <kernel.DependentProduct object at 0x1d1f170>) of role type named sy_c_Option_Ooption_Othe_001t__Num__Onum
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring the_num:(option_num->num)
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d3ad88>, <kernel.DependentProduct object at 0x1d1f1b8>) of role type named sy_c_Option_Ooption_Othe_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring the_Pr8591224930841456533at_nat:(option4927543243414619207at_nat->product_prod_nat_nat)
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d3ad40>, <kernel.DependentProduct object at 0x1d1f200>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Code____Numeral__Ointeger_M_062_I_Eo_M_Eo_J_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bo4731626569425807221er_o_o:(code_integer->(Prop->Prop))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d3ad88>, <kernel.DependentProduct object at 0x1d1f050>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bot_int_int_o:(int->(int->Prop))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d3af80>, <kernel.DependentProduct object at 0x1d1f248>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bot_nat_nat_o:(nat->(nat->Prop))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d3af80>, <kernel.DependentProduct object at 0x1d1f290>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_062_It__Num__Onum_M_Eo_J_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bot_nat_num_o:(nat->(num->Prop))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1f1b8>, <kernel.DependentProduct object at 0x1d1f200>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bot_num_num_o:(num->(num->Prop))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1f0e0>, <kernel.Constant object at 0x1d1f248>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Extended____Nat__Oenat
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bo4199563552545308370d_enat:extended_enat
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1f290>, <kernel.Constant object at 0x1d1f248>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bot_nat:nat
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1f3f8>, <kernel.Constant object at 0x1d1f248>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bot_set_complex:set_complex
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1f2d8>, <kernel.Constant object at 0x1d1f248>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bot_set_int:set_int
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1f440>, <kernel.Constant object at 0x1d1f248>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bot_set_nat:set_nat
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1f488>, <kernel.Constant object at 0x1d1f248>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Num__Onum_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bot_set_num:set_num
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1f440>, <kernel.Constant object at 0x1d1f4d0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bo5379713665208646970eger_o:set_Pr448751882837621926eger_o
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1f248>, <kernel.Constant object at 0x1d1f560>) 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
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bo1796632182523588997nt_int:set_Pr958786334691620121nt_int
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1f4d0>, <kernel.Constant object at 0x1d1f5f0>) 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
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bo2099793752762293965at_nat:set_Pr1261947904930325089at_nat
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1f560>, <kernel.Constant object at 0x1d1f680>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bo7038385379056416535at_num:set_Pr6200539531224447659at_num
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1f5f0>, <kernel.Constant object at 0x1d1f710>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bo9056780473022590049um_num:set_Pr8218934625190621173um_num
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1f7a0>, <kernel.Constant object at 0x1d1f710>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Rat__Orat_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bot_set_rat:set_rat
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1f7e8>, <kernel.Constant object at 0x1d1f710>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bot_set_real:set_real
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1f830>, <kernel.Constant object at 0x1d1f710>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bot_set_set_int:set_set_int
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1f878>, <kernel.Constant object at 0x1d1f710>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bot_set_set_nat:set_set_nat
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1f830>, <kernel.Constant object at 0x1d1f758>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring bot_bo8194388402131092736T_VEBT:set_VEBT_VEBT
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1f908>, <kernel.DependentProduct object at 0x1d1fab8>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring ord_less_complex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1f758>, <kernel.DependentProduct object at 0x1d1fb00>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Int__Oint_M_Eo_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring ord_less_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1fab8>, <kernel.DependentProduct object at 0x1d1fb48>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Nat__Onat_M_Eo_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring ord_less_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x1d1fb00>, <kernel.DependentProduct object at 0x1d1fb90>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Real__Oreal_M_Eo_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1fb48>, <kernel.DependentProduct object at 0x1d1fbd8>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_set_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1fb90>, <kernel.DependentProduct object at 0x1d1f710>) of role type named sy_c_Orderings_Oord__class_Oless_001_Eo
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_o:(Prop->(Prop->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1fb48>, <kernel.DependentProduct object at 0x1d1fb90>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1f710>, <kernel.DependentProduct object at 0x1d1fb48>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1fc68>, <kernel.DependentProduct object at 0x1d1fb90>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_int:(int->(int->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1fcf8>, <kernel.DependentProduct object at 0x1d1f710>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1fb00>, <kernel.DependentProduct object at 0x1d1fc68>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_num:(num->(num->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1f758>, <kernel.DependentProduct object at 0x1d1fcf8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1fb48>, <kernel.DependentProduct object at 0x1d1fb00>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_real:(real->(real->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1fb90>, <kernel.DependentProduct object at 0x1d1f758>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_I_Eo_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_set_o:(set_o->(set_o->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1fb48>, <kernel.DependentProduct object at 0x1d1fb90>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_le1307284697595431911nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1fc68>, <kernel.DependentProduct object at 0x1d1f758>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1ff38>, <kernel.DependentProduct object at 0x1d1fb48>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1fb00>, <kernel.DependentProduct object at 0x1d1fc68>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1f710>, <kernel.DependentProduct object at 0x1d23098>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1fb90>, <kernel.DependentProduct object at 0x1d230e0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1fb48>, <kernel.DependentProduct object at 0x1d23128>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1fc68>, <kernel.DependentProduct object at 0x1d23170>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_set_set_int:(set_set_int->(set_set_int->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1fb90>, <kernel.DependentProduct object at 0x1d231b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_set_set_nat:(set_set_nat->(set_set_nat->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1fc68>, <kernel.DependentProduct object at 0x1d23200>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_le3480810397992357184T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d231b8>, <kernel.DependentProduct object at 0x1d232d8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Code____Numeral__Ointeger_M_062_I_Eo_M_Eo_J_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_le2162486998276636481er_o_o:((code_integer->(Prop->Prop))->((code_integer->(Prop->Prop))->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d23290>, <kernel.DependentProduct object at 0x1d23368>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_le4573692005234683329plex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d23050>, <kernel.DependentProduct object at 0x1d233b0>) 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
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_le6741204236512500942_int_o:((int->(int->Prop))->((int->(int->Prop))->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d1fc68>, <kernel.DependentProduct object at 0x1d23440>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_Eo_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_eq_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d232d8>, <kernel.DependentProduct object at 0x1d23488>) 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
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_le2646555220125990790_nat_o:((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d23440>, <kernel.DependentProduct object at 0x1d23200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_062_It__Num__Onum_M_Eo_J_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_le3404735783095501756_num_o:((nat->(num->Prop))->((nat->(num->Prop))->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d23560>, <kernel.DependentProduct object at 0x1d235a8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_Eo_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_eq_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d23440>, <kernel.DependentProduct object at 0x1d235f0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_le6124364862034508274_num_o:((num->(num->Prop))->((num->(num->Prop))->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d235a8>, <kernel.DependentProduct object at 0x1d234d0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_le1598226405681992910_int_o:((product_prod_int_int->(product_prod_int_int->Prop))->((product_prod_int_int->(product_prod_int_int->Prop))->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x1d235f0>, <kernel.DependentProduct object at 0x1d23710>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le8369615600986905444_int_o:((product_prod_int_int->Prop)->((product_prod_int_int->Prop)->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d234d0>, <kernel.DependentProduct object at 0x1d235a8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le5604493270027003598_nat_o:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d23710>, <kernel.DependentProduct object at 0x1d23830>) 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
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le704812498762024988_nat_o:((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d235a8>, <kernel.DependentProduct object at 0x1d234d0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_M_062_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_M_Eo_J_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le2556027599737686990_num_o:((product_prod_num_num->(product_prod_num_num->Prop))->((product_prod_num_num->(product_prod_num_num->Prop))->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d23830>, <kernel.DependentProduct object at 0x1d23950>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_M_Eo_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le2239182809043710856_num_o:((product_prod_num_num->Prop)->((product_prod_num_num->Prop)->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d234d0>, <kernel.DependentProduct object at 0x1d235a8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_M_Eo_J_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le1077754993875142464_nat_o:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d23950>, <kernel.DependentProduct object at 0x1d239e0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_M_Eo_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le7812727212727832188_nat_o:((produc9072475918466114483BT_nat->Prop)->((produc9072475918466114483BT_nat->Prop)->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d23998>, <kernel.DependentProduct object at 0x1d23b48>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Real__Oreal_M_Eo_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d23950>, <kernel.DependentProduct object at 0x1d23b90>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le3964352015994296041_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d238c0>, <kernel.DependentProduct object at 0x1d235a8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_Eo
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_o:(Prop->(Prop->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d23950>, <kernel.DependentProduct object at 0x1d238c0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d235a8>, <kernel.DependentProduct object at 0x1d23950>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d238c0>, <kernel.DependentProduct object at 0x1d235a8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le2510731241096832064er_nat:(filter_nat->(filter_nat->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d23950>, <kernel.DependentProduct object at 0x1d238c0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Real__Oreal_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le4104064031414453916r_real:(filter_real->(filter_real->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d23d88>, <kernel.DependentProduct object at 0x1d235a8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d23e18>, <kernel.DependentProduct object at 0x1d23950>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d23c68>, <kernel.DependentProduct object at 0x1d23d88>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d23cf8>, <kernel.DependentProduct object at 0x1d23e18>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d238c0>, <kernel.DependentProduct object at 0x1d23c68>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d235a8>, <kernel.DependentProduct object at 0x1d23cf8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_Eo_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_set_o:(set_o->(set_o->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d238c0>, <kernel.DependentProduct object at 0x1d235a8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le7084787975880047091nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d23cf8>, <kernel.DependentProduct object at 0x1d25050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d23c68>, <kernel.DependentProduct object at 0x1d250e0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d235a8>, <kernel.DependentProduct object at 0x1d251b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d23cf8>, <kernel.DependentProduct object at 0x1d25200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Num__Onum_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_set_num:(set_num->(set_num->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d25098>, <kernel.DependentProduct object at 0x1d25128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le8980329558974975238eger_o:(set_Pr448751882837621926eger_o->(set_Pr448751882837621926eger_o->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x1d25248>, <kernel.DependentProduct object at 0x1d25128>) 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
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le2843351958646193337nt_int:(set_Pr958786334691620121nt_int->(set_Pr958786334691620121nt_int->Prop))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25170>, <kernel.DependentProduct object at 0x1d25128>) 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
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_le3146513528884898305at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25050>, <kernel.DependentProduct object at 0x1d25128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_le8085105155179020875at_num:(set_Pr6200539531224447659at_num->(set_Pr6200539531224447659at_num->Prop))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25170>, <kernel.DependentProduct object at 0x1d253b0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_le880128212290418581um_num:(set_Pr8218934625190621173um_num->(set_Pr8218934625190621173um_num->Prop))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25248>, <kernel.DependentProduct object at 0x1d25128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Rat__Orat_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_less_eq_set_rat:(set_rat->(set_rat->Prop))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d254d0>, <kernel.DependentProduct object at 0x1d25170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25248>, <kernel.DependentProduct object at 0x1d254d0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_le4403425263959731960et_int:(set_set_int->(set_set_int->Prop))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25170>, <kernel.DependentProduct object at 0x1d25248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_le6893508408891458716et_nat:(set_set_nat->(set_set_nat->Prop))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d254d0>, <kernel.DependentProduct object at 0x1d25170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25680>, <kernel.DependentProduct object at 0x1d25248>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Code____Numeral__Ointeger
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_max_Code_integer:(code_integer->(code_integer->code_integer))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d254d0>, <kernel.DependentProduct object at 0x1d25680>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Extended____Nat__Oenat
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_ma741700101516333627d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d257a0>, <kernel.DependentProduct object at 0x1d25248>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_max_int:(int->(int->int))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25758>, <kernel.DependentProduct object at 0x1d254d0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_max_nat:(nat->(nat->nat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25878>, <kernel.DependentProduct object at 0x1d257a0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Num__Onum
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_max_num:(num->(num->num))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d256c8>, <kernel.DependentProduct object at 0x1d25758>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Rat__Orat
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_max_rat:(rat->(rat->rat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25710>, <kernel.DependentProduct object at 0x1d25878>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Real__Oreal
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_max_real:(real->(real->real))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25680>, <kernel.DependentProduct object at 0x1d256c8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_max_set_int:(set_int->(set_int->set_int))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25248>, <kernel.DependentProduct object at 0x1d25710>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_max_set_nat:(set_nat->(set_nat->set_nat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d254d0>, <kernel.DependentProduct object at 0x1d25680>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Real__Oreal_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_max_set_real:(set_real->(set_real->set_real))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d257a0>, <kernel.DependentProduct object at 0x1d25758>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Nat__Onat
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring order_Greatest_nat:((nat->Prop)->nat)
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d254d0>, <kernel.DependentProduct object at 0x1d25248>) of role type named sy_c_Orderings_Oorder__class_Oantimono_001t__Nat__Onat_001t__Real__Oreal
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring order_9091379641038594480t_real:((nat->real)->Prop)
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d256c8>, <kernel.DependentProduct object at 0x1d25b00>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25ab8>, <kernel.DependentProduct object at 0x1d25758>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Real__Oreal
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring order_mono_nat_real:((nat->real)->Prop)
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25710>, <kernel.DependentProduct object at 0x1d254d0>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Real__Oreal_001t__Real__Oreal
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring order_mono_real_real:((real->real)->Prop)
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25b48>, <kernel.Constant object at 0x1d254d0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_Eo_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring top_top_set_o:set_o
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25bd8>, <kernel.Constant object at 0x1d254d0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring top_top_set_int:set_int
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25758>, <kernel.Constant object at 0x1d254d0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring top_top_set_nat:set_nat
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25bd8>, <kernel.Constant object at 0x1d25b90>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Ounit_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring top_to1996260823553986621t_unit:set_Product_unit
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25c20>, <kernel.Constant object at 0x1d25b90>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring top_top_set_real:set_real
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25cb0>, <kernel.Constant object at 0x1d25b90>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring top_top_set_char:set_char
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25c20>, <kernel.DependentProduct object at 0x1d25cb0>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25e18>, <kernel.DependentProduct object at 0x1d25b90>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring power_power_complex:(complex->(nat->complex))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25cf8>, <kernel.DependentProduct object at 0x1d25c20>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring power_power_int:(int->(nat->int))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25ef0>, <kernel.DependentProduct object at 0x1d25e18>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring power_power_nat:(nat->(nat->nat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25d40>, <kernel.DependentProduct object at 0x1d25cf8>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring power_power_rat:(rat->(nat->rat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25d88>, <kernel.DependentProduct object at 0x1d25ef0>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring power_power_real:(real->(nat->real))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25d40>, <kernel.DependentProduct object at 0x1d25e18>) 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
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring produc4035269172776083154on_nat:((nat->(nat->Prop))->(produc4953844613479565601on_nat->produc2233624965454879586on_nat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25ef0>, <kernel.DependentProduct object at 0x1d28050>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring produc3209952032786966637at_nat:((nat->(nat->nat))->(produc7248412053542808358at_nat->produc4471711990508489141at_nat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25e18>, <kernel.DependentProduct object at 0x1d280e0>) 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
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring produc8929957630744042906on_nat:((nat->(nat->nat))->(produc4953844613479565601on_nat->produc8306885398267862888on_nat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25e18>, <kernel.DependentProduct object at 0x1d280e0>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Num__Onum_Mt__Num__Onum_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring produc851828971589881931at_num:((nat->(num->num))->(produc2963631642982155120at_num->produc3368934014287244435at_num))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d25d40>, <kernel.DependentProduct object at 0x1d280e0>) 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
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring produc3576312749637752826on_num:((num->(num->Prop))->(produc3447558737645232053on_num->produc7036089656553540234on_num))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d281b8>, <kernel.DependentProduct object at 0x1d280e0>) 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
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring produc5778274026573060048on_num:((num->(num->num))->(produc3447558737645232053on_num->produc1193250871479095198on_num))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d28368>, <kernel.DependentProduct object at 0x1d280e0>) 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
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring produc3994169339658061776at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(produc6121120109295599847at_nat->produc5491161045314408544at_nat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d28170>, <kernel.DependentProduct object at 0x1d280e0>) 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
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring produc2899441246263362727at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(produc6121120109295599847at_nat->produc5542196010084753463at_nat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d28488>, <kernel.DependentProduct object at 0x1d281b8>) of role type named sy_c_Product__Type_OPair_001_Eo_001_Eo
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring product_Pair_o_o:(Prop->(Prop->product_prod_o_o))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d28440>, <kernel.DependentProduct object at 0x1d281b8>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Int__Oint
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring product_Pair_o_int:(Prop->(int->product_prod_o_int))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d28488>, <kernel.DependentProduct object at 0x1d280e0>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring produc2982872950893828659T_VEBT:(Prop->(vEBT_VEBT->produc2504756804600209347T_VEBT))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d281b8>, <kernel.DependentProduct object at 0x1d28638>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d280e0>, <kernel.DependentProduct object at 0x1d281b8>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d286c8>, <kernel.DependentProduct object at 0x1d28638>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d28680>, <kernel.DependentProduct object at 0x1d280e0>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d28758>, <kernel.DependentProduct object at 0x1d286c8>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Num__Onum
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring product_Pair_nat_num:(nat->(num->product_prod_nat_num))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d28680>, <kernel.DependentProduct object at 0x1d28758>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring produc487386426758144856at_nat:(nat->(product_prod_nat_nat->produc7248412053542808358at_nat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d286c8>, <kernel.DependentProduct object at 0x1d28680>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring produc1195630363706982562at_num:(nat->(product_prod_nat_num->produc2963631642982155120at_num))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d288c0>, <kernel.DependentProduct object at 0x1d28758>) of role type named sy_c_Product__Type_OPair_001t__Num__Onum_001t__Num__Onum
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring product_Pair_num_num:(num->(num->product_prod_num_num))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x1d286c8>, <kernel.DependentProduct object at 0x1d288c0>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Nat__Onat_J_001t__Option__Ooption_It__Nat__Onat_J
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc5098337634421038937on_nat:(option_nat->(option_nat->produc4953844613479565601on_nat))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d28758>, <kernel.DependentProduct object at 0x1d286c8>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Num__Onum_J_001t__Option__Ooption_It__Num__Onum_J
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc8585076106096196333on_num:(option_num->(option_num->produc3447558737645232053on_num))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d288c0>, <kernel.DependentProduct object at 0x1d281b8>) 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
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc488173922507101015at_nat:(option4927543243414619207at_nat->(option4927543243414619207at_nat->produc6121120109295599847at_nat))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d286c8>, <kernel.DependentProduct object at 0x1d28b48>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d281b8>, <kernel.DependentProduct object at 0x1d286c8>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc736041933913180425BT_int:(vEBT_VEBT->(int->produc4894624898956917775BT_int))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d28b48>, <kernel.DependentProduct object at 0x1d281b8>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d286c8>, <kernel.DependentProduct object at 0x1d28b48>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d281b8>, <kernel.DependentProduct object at 0x1d28758>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d28b48>, <kernel.DependentProduct object at 0x1d28bd8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001_Eo
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc7828578312038201481er_o_o:((code_integer->(Prop->Prop))->(produc6271795597528267376eger_o->Prop))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d28758>, <kernel.DependentProduct object at 0x1d28dd0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc1043322548047392435omplex:((code_integer->(Prop->set_complex))->(produc6271795597528267376eger_o->set_complex))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d28bd8>, <kernel.DependentProduct object at 0x1d28c68>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc1253318751659547953et_int:((code_integer->(Prop->set_int))->(produc6271795597528267376eger_o->set_int))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d28dd0>, <kernel.DependentProduct object at 0x1d281b8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc5431169771168744661et_nat:((code_integer->(Prop->set_nat))->(produc6271795597528267376eger_o->set_nat))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d28c68>, <kernel.DependentProduct object at 0x1d28d88>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Real__Oreal_J
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc242741666403216561t_real:((code_integer->(Prop->set_real))->(produc6271795597528267376eger_o->set_real))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d281b8>, <kernel.DependentProduct object at 0x1d28c68>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__String__Ochar
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc4188289175737317920o_char:((code_integer->(Prop->char))->(produc6271795597528267376eger_o->char))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d281b8>, <kernel.DependentProduct object at 0x1d2a200>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d281b8>, <kernel.DependentProduct object at 0x1d2a290>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d28b48>, <kernel.DependentProduct object at 0x1d2a320>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc7336495610019696514er_num:((code_integer->(code_integer->num))->(produc8923325533196201883nteger->num))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d2a200>, <kernel.DependentProduct object at 0x1d2a0e0>) 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
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d2a3b0>, <kernel.DependentProduct object at 0x1d2a0e0>) 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
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d2a098>, <kernel.DependentProduct object at 0x1d2a0e0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Complex__Ocomplex_001t__Complex__Ocomplex_001_Eo
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc6771430404735790350plex_o:((complex->(complex->Prop))->(produc4411394909380815293omplex->Prop))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d2a440>, <kernel.DependentProduct object at 0x1d2a3f8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d2a098>, <kernel.DependentProduct object at 0x1d2a560>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc8211389475949308722nt_int:((int->(int->int))->(product_prod_int_int->int))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d2a3f8>, <kernel.DependentProduct object at 0x1d2a518>) 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
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d2a560>, <kernel.DependentProduct object at 0x1d2a5f0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d2a518>, <kernel.DependentProduct object at 0x1d2a710>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc1830744345554046123nteger:((nat->(nat->code_integer))->(product_prod_nat_nat->code_integer))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d2a5f0>, <kernel.DependentProduct object at 0x1d2a6c8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc1917071388513777916omplex:((nat->(nat->complex))->(product_prod_nat_nat->complex))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d2a710>, <kernel.DependentProduct object at 0x1d2a758>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc6840382203811409530at_int:((nat->(nat->int))->(product_prod_nat_nat->int))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d2a6c8>, <kernel.DependentProduct object at 0x1d2a7e8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc6842872674320459806at_nat:((nat->(nat->nat))->(product_prod_nat_nat->nat))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d2a758>, <kernel.DependentProduct object at 0x1d2a878>) 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
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d2a7e8>, <kernel.DependentProduct object at 0x1d2a908>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Rat__Orat
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc6207742614233964070at_rat:((nat->(nat->rat))->(product_prod_nat_nat->rat))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d2a878>, <kernel.DependentProduct object at 0x1d2a998>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Real__Oreal
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc1703576794950452218t_real:((nat->(nat->real))->(product_prod_nat_nat->real))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d2a908>, <kernel.DependentProduct object at 0x1d2aa70>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001_Eo
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc4927758841916487424_num_o:((nat->(num->Prop))->(product_prod_nat_num->Prop))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d2a998>, <kernel.DependentProduct object at 0x1d2ab90>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Option__Ooption_It__Num__Onum_J
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc478579273971653890on_num:((nat->(num->option_num))->(product_prod_nat_num->option_num))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d2aa70>, <kernel.DependentProduct object at 0x1d2ab48>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc6231982587499038204omplex:((nat->(num->set_complex))->(product_prod_nat_num->set_complex))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d2ab90>, <kernel.DependentProduct object at 0x1d2abd8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Set__Oset_It__Real__Oreal_J
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc1435849484188172666t_real:((nat->(num->set_real))->(product_prod_nat_num->set_real))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x1d2ab48>, <kernel.DependentProduct object at 0x1d2acb0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001_Eo
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring produc5703948589228662326_num_o:((num->(num->Prop))->(product_prod_num_num->Prop))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d2abd8>, <kernel.DependentProduct object at 0x1d2add0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring produc2866383454006189126omplex:((num->(num->set_complex))->(product_prod_num_num->set_complex))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d2acb0>, <kernel.DependentProduct object at 0x1d2ad88>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring produc6406642877701697732et_int:((num->(num->set_int))->(product_prod_num_num->set_int))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d2add0>, <kernel.DependentProduct object at 0x1d2ae18>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring produc1361121860356118632et_nat:((num->(num->set_nat))->(product_prod_num_num->set_nat))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d2ad88>, <kernel.DependentProduct object at 0x1d2aea8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Real__Oreal_J
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring produc8296048397933160132t_real:((num->(num->set_real))->(product_prod_num_num->set_real))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d2ae18>, <kernel.DependentProduct object at 0x1d2ab48>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Real__Oreal_001t__Real__Oreal_001_Eo
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring produc5414030515140494994real_o:((real->(real->Prop))->(produc2422161461964618553l_real->Prop))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d2afc8>, <kernel.DependentProduct object at 0x1d3c0e0>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d2acf8>, <kernel.DependentProduct object at 0x1d3c128>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d2aea8>, <kernel.DependentProduct object at 0x1d3c170>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d2afc8>, <kernel.DependentProduct object at 0x1d3c1b8>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d2acf8>, <kernel.DependentProduct object at 0x1d3c200>) of role type named sy_c_Rat_OFrct
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring frct:(product_prod_int_int->rat)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d2afc8>, <kernel.DependentProduct object at 0x1d3c248>) of role type named sy_c_Rat_Onormalize
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d2aea8>, <kernel.DependentProduct object at 0x1d3c290>) of role type named sy_c_Rat_Oof__int
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring of_int:(int->rat)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d2aea8>, <kernel.DependentProduct object at 0x1d3c2d8>) of role type named sy_c_Rat_Oquotient__of
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring quotient_of:(rat->product_prod_int_int)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c128>, <kernel.Constant object at 0x1d3c248>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Complex__Ocomplex
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring real_V2521375963428798218omplex:set_complex
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c2d8>, <kernel.DependentProduct object at 0x1d3c368>) of role type named sy_c_Real__Vector__Spaces_Obounded__linear_001t__Real__Oreal_001t__Real__Oreal
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring real_V5970128139526366754l_real:((real->real)->Prop)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c248>, <kernel.DependentProduct object at 0x1d3c2d8>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Complex__Ocomplex
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring real_V3694042436643373181omplex:(complex->(complex->real))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c368>, <kernel.DependentProduct object at 0x1d3c248>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Real__Oreal
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring real_V975177566351809787t_real:(real->(real->real))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c2d8>, <kernel.DependentProduct object at 0x1d3c440>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c248>, <kernel.DependentProduct object at 0x1d3c5f0>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring real_V7735802525324610683m_real:(real->real)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c440>, <kernel.DependentProduct object at 0x1d3c680>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c5f0>, <kernel.DependentProduct object at 0x1d3c710>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Real__Oreal
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring real_V1803761363581548252l_real:(real->real)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c680>, <kernel.DependentProduct object at 0x1d3c5f0>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Complex__Ocomplex
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring real_V2046097035970521341omplex:(real->(complex->complex))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c710>, <kernel.DependentProduct object at 0x1d3c680>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Real__Oreal
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring real_V1485227260804924795R_real:(real->(real->real))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c5f0>, <kernel.DependentProduct object at 0x1d3c710>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c680>, <kernel.DependentProduct object at 0x1d3c5f0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c290>, <kernel.DependentProduct object at 0x1d3c710>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring divide_divide_int:(int->(int->int))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c7a0>, <kernel.DependentProduct object at 0x1d3c680>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3ca28>, <kernel.DependentProduct object at 0x1d3c290>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c8c0>, <kernel.DependentProduct object at 0x1d3c7a0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring divide_divide_real:(real->(real->real))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c950>, <kernel.DependentProduct object at 0x1d3ca28>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c9e0>, <kernel.DependentProduct object at 0x1d3c8c0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c680>, <kernel.DependentProduct object at 0x1d3c950>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c290>, <kernel.DependentProduct object at 0x1d3c9e0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c7a0>, <kernel.DependentProduct object at 0x1d3c680>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3ca28>, <kernel.DependentProduct object at 0x1d3c290>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c7a0>, <kernel.DependentProduct object at 0x1d3ca28>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c5f0>, <kernel.DependentProduct object at 0x1d3c290>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring modulo_modulo_int:(int->(int->int))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c8c0>, <kernel.DependentProduct object at 0x1d3c7a0>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c5f0>, <kernel.DependentProduct object at 0x1d3ce18>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c7a0>, <kernel.DependentProduct object at 0x1d3c950>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3ce18>, <kernel.DependentProduct object at 0x1d3cea8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c950>, <kernel.DependentProduct object at 0x1d3cf38>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3cea8>, <kernel.DependentProduct object at 0x1d3cfc8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3cf38>, <kernel.DependentProduct object at 0x1d3e098>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3cea8>, <kernel.DependentProduct object at 0x1d3e128>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring suminf_complex:((nat->complex)->complex)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3c098>, <kernel.DependentProduct object at 0x1d3e1b8>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring suminf_int:((nat->int)->int)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3cea8>, <kernel.DependentProduct object at 0x1d3e170>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring suminf_nat:((nat->nat)->nat)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3cfc8>, <kernel.DependentProduct object at 0x1d3e098>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring suminf_real:((nat->real)->real)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d3cea8>, <kernel.DependentProduct object at 0x1d3e170>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring summable_complex:((nat->complex)->Prop)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3cea8>, <kernel.DependentProduct object at 0x1d3e248>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring summable_int:((nat->int)->Prop)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e1b8>, <kernel.DependentProduct object at 0x1d3e050>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring summable_nat:((nat->nat)->Prop)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e290>, <kernel.DependentProduct object at 0x1d3e200>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring summable_real:((nat->real)->Prop)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e2d8>, <kernel.DependentProduct object at 0x1d3e320>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e0e0>, <kernel.DependentProduct object at 0x1d3e3b0>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring sums_real:((nat->real)->(real->Prop))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e368>, <kernel.DependentProduct object at 0x1d3e488>) of role type named sy_c_Set_OCollect_001_Eo
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collect_o:((Prop->Prop)->set_o)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e290>, <kernel.DependentProduct object at 0x1d3e2d8>) of role type named sy_c_Set_OCollect_001t__Code____Numeral__Ointeger
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collect_Code_integer:((code_integer->Prop)->set_Code_integer)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e3b0>, <kernel.DependentProduct object at 0x1d3e4d0>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e200>, <kernel.DependentProduct object at 0x1d3e560>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collect_int:((int->Prop)->set_int)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e320>, <kernel.DependentProduct object at 0x1d3e3b0>) of role type named sy_c_Set_OCollect_001t__List__Olist_I_Eo_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collect_list_o:((list_o->Prop)->set_list_o)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e560>, <kernel.DependentProduct object at 0x1d3e5a8>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Complex__Ocomplex_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collect_list_complex:((list_complex->Prop)->set_list_complex)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e3f8>, <kernel.DependentProduct object at 0x1d3e5f0>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Int__Oint_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collect_list_int:((list_int->Prop)->set_list_int)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e368>, <kernel.DependentProduct object at 0x1d3e638>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e3f8>, <kernel.DependentProduct object at 0x1d3e680>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collec5608196760682091941T_VEBT:((list_VEBT_VEBT->Prop)->set_list_VEBT_VEBT)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e440>, <kernel.DependentProduct object at 0x1d3e758>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e290>, <kernel.DependentProduct object at 0x1d3e7a0>) of role type named sy_c_Set_OCollect_001t__Num__Onum
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collect_num:((num->Prop)->set_num)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e638>, <kernel.DependentProduct object at 0x1d3e440>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collec8663557070575231912omplex:((produc4411394909380815293omplex->Prop)->set_Pr5085853215250843933omplex)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e290>, <kernel.DependentProduct object at 0x1d3e638>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e440>, <kernel.DependentProduct object at 0x1d3e290>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collec3392354462482085612at_nat:((product_prod_nat_nat->Prop)->set_Pr1261947904930325089at_nat)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e638>, <kernel.DependentProduct object at 0x1d3e440>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collec3799799289383736868l_real:((produc2422161461964618553l_real->Prop)->set_Pr6218003697084177305l_real)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e518>, <kernel.DependentProduct object at 0x1d3ea28>) of role type named sy_c_Set_OCollect_001t__Rat__Orat
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collect_rat:((rat->Prop)->set_rat)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e3f8>, <kernel.DependentProduct object at 0x1d3ea70>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collect_real:((real->Prop)->set_real)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e710>, <kernel.DependentProduct object at 0x1d3e440>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collect_set_complex:((set_complex->Prop)->set_set_complex)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3ea70>, <kernel.DependentProduct object at 0x1d3eab8>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collect_set_int:((set_int->Prop)->set_set_int)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e9e0>, <kernel.DependentProduct object at 0x1d3eb00>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collect_set_nat:((set_nat->Prop)->set_set_nat)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e998>, <kernel.DependentProduct object at 0x1d3eb48>) of role type named sy_c_Set_OCollect_001t__VEBT____Definitions__OVEBT
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring collect_VEBT_VEBT:((vEBT_VEBT->Prop)->set_VEBT_VEBT)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e950>, <kernel.DependentProduct object at 0x1d3ebd8>) of role type named sy_c_Set_OPow_001t__Nat__Onat
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring pow_nat:(set_nat->set_set_nat)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e710>, <kernel.DependentProduct object at 0x1d3e9e0>) of role type named sy_c_Set_Oimage_001_Eo_001t__Set__Oset_I_Eo_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring image_o_set_o:((Prop->set_o)->(set_o->set_set_o))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e998>, <kernel.DependentProduct object at 0x1d3ebd8>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3eb48>, <kernel.DependentProduct object at 0x1d3eb90>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Nat__Onat
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring image_int_nat:((int->nat)->(set_int->set_nat))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e710>, <kernel.DependentProduct object at 0x1d3ec20>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring image_int_set_int:((int->set_int)->(set_int->set_set_int))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3e998>, <kernel.DependentProduct object at 0x1d3e638>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Int__Oint
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring image_nat_int:((nat->int)->(set_nat->set_int))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x1d3eb48>, <kernel.DependentProduct object at 0x1d3e518>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d3e710>, <kernel.DependentProduct object at 0x1d3e9e0>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Real__Oreal
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring image_nat_real:((nat->real)->(set_nat->set_real))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d3e998>, <kernel.DependentProduct object at 0x1d3ebd8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring image_nat_set_nat:((nat->set_nat)->(set_nat->set_set_nat))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d3eb48>, <kernel.DependentProduct object at 0x1d3eb90>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d3e998>, <kernel.DependentProduct object at 0x1d3e710>) 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
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring image_5971271580939081552omplex:((real->filter6041513312241820739omplex)->(set_real->set_fi4554929511873752355omplex))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d3eb90>, <kernel.DependentProduct object at 0x1d3e9e0>) 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
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring image_2178119161166701260l_real:((real->filter2146258269922977983l_real)->(set_real->set_fi7789364187291644575l_real))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d3ef38>, <kernel.DependentProduct object at 0x1d3ec20>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d3e710>, <kernel.DependentProduct object at 0x1d3e638>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d3eb90>, <kernel.DependentProduct object at 0x1d3eea8>) of role type named sy_c_Set_Oimage_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring image_VEBT_VEBT_nat:((vEBT_VEBT->nat)->(set_VEBT_VEBT->set_nat))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d3ef38>, <kernel.DependentProduct object at 0x1d3eef0>) of role type named sy_c_Set_Oinsert_001t__Complex__Ocomplex
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring insert_complex:(complex->(set_complex->set_complex))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d3e290>, <kernel.DependentProduct object at 0x1d3ec20>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring insert_int:(int->(set_int->set_int))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d3eea8>, <kernel.DependentProduct object at 0x1d411b8>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d3ef38>, <kernel.DependentProduct object at 0x1d41200>) of role type named sy_c_Set_Oinsert_001t__Num__Onum
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring insert_num:(num->(set_num->set_num))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d3ef38>, <kernel.DependentProduct object at 0x1d41098>) of role type named sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring insert5033312907999012233nt_int:(product_prod_int_int->(set_Pr958786334691620121nt_int->set_Pr958786334691620121nt_int))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d3e290>, <kernel.DependentProduct object at 0x1d41128>) of role type named sy_c_Set_Oinsert_001t__Rat__Orat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring insert_rat:(rat->(set_rat->set_rat))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d3eea8>, <kernel.DependentProduct object at 0x1d41290>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring insert_real:(real->(set_real->set_real))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d3e638>, <kernel.DependentProduct object at 0x1d412d8>) of role type named sy_c_Set_Oinsert_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring insert_set_nat:(set_nat->(set_set_nat->set_set_nat))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d3e638>, <kernel.DependentProduct object at 0x1d41320>) of role type named sy_c_Set_Oinsert_001t__VEBT____Definitions__OVEBT
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring insert_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41368>, <kernel.DependentProduct object at 0x1d41290>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Complex__Ocomplex
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_fo1517530859248394432omplex:((nat->(complex->complex))->(nat->(nat->(complex->complex))))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41320>, <kernel.DependentProduct object at 0x1d41050>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Int__Oint
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_fo2581907887559384638at_int:((nat->(int->int))->(nat->(nat->(int->int))))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41290>, <kernel.DependentProduct object at 0x1d41248>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41050>, <kernel.DependentProduct object at 0x1d410e0>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Num__Onum
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_fo8365102181078989356at_num:((nat->(num->num))->(nat->(nat->(num->num))))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41248>, <kernel.DependentProduct object at 0x1d414d0>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Rat__Orat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_fo1949268297981939178at_rat:((nat->(rat->rat))->(nat->(nat->(rat->rat))))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d410e0>, <kernel.DependentProduct object at 0x1d41560>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Real__Oreal
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_fo3111899725591712190t_real:((nat->(real->real))->(nat->(nat->(real->real))))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d414d0>, <kernel.DependentProduct object at 0x1d41680>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat__rel_001t__Nat__Onat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_fo3699595496184130361el_nat:(produc4471711990508489141at_nat->(produc4471711990508489141at_nat->Prop))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41560>, <kernel.DependentProduct object at 0x1d41638>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat__rel_001t__Num__Onum
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_fo256927282339908995el_num:(produc3368934014287244435at_num->(produc3368934014287244435at_num->Prop))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41680>, <kernel.DependentProduct object at 0x1d41560>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41638>, <kernel.DependentProduct object at 0x1d41680>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41560>, <kernel.DependentProduct object at 0x1d41638>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41680>, <kernel.DependentProduct object at 0x1d41560>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41638>, <kernel.DependentProduct object at 0x1d41680>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41560>, <kernel.DependentProduct object at 0x1d41638>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_or370866239135849197et_int:(set_int->(set_int->set_set_int))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41680>, <kernel.DependentProduct object at 0x1d41560>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_or4548717258645045905et_nat:(set_nat->(set_nat->set_set_nat))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41638>, <kernel.DependentProduct object at 0x1d41680>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41560>, <kernel.DependentProduct object at 0x1d41638>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41758>, <kernel.DependentProduct object at 0x1d410e0>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41bd8>, <kernel.DependentProduct object at 0x1d41d40>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Real__Oreal
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_ord_atLeast_real:(real->set_real)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41c68>, <kernel.DependentProduct object at 0x1d41d88>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Int__Oint
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_ord_atMost_int:(int->set_int)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41638>, <kernel.DependentProduct object at 0x1d41dd0>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41c68>, <kernel.DependentProduct object at 0x1d41638>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41dd0>, <kernel.DependentProduct object at 0x1d41c68>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41638>, <kernel.DependentProduct object at 0x1d41dd0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41c68>, <kernel.DependentProduct object at 0x1d41638>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41dd0>, <kernel.DependentProduct object at 0x1d410e0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41638>, <kernel.DependentProduct object at 0x1d44098>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001_Eo
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_or6416164934427428222Than_o:(Prop->set_o)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41638>, <kernel.DependentProduct object at 0x1d441b8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Int__Oint
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_or1207661135979820486an_int:(int->set_int)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x1d41f38>, <kernel.DependentProduct object at 0x1d44248>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44098>, <kernel.DependentProduct object at 0x1d442d8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d410e0>, <kernel.DependentProduct object at 0x1d44320>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001_Eo
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring set_ord_lessThan_o:(Prop->set_o)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d410e0>, <kernel.DependentProduct object at 0x1d443b0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Int__Oint
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring set_ord_lessThan_int:(int->set_int)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d442d8>, <kernel.DependentProduct object at 0x1d443f8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44290>, <kernel.DependentProduct object at 0x1d44440>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Num__Onum
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring set_ord_lessThan_num:(num->set_num)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44320>, <kernel.DependentProduct object at 0x1d44488>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Rat__Orat
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring set_ord_lessThan_rat:(rat->set_rat)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44290>, <kernel.DependentProduct object at 0x1d444d0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44488>, <kernel.DependentProduct object at 0x1d44560>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring set_or890127255671739683et_nat:(set_nat->set_set_nat)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d443b0>, <kernel.DependentProduct object at 0x1d445f0>) of role type named sy_c_String_Oascii__of
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring ascii_of:(char->char)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d442d8>, <kernel.DependentProduct object at 0x1d44638>) of role type named sy_c_String_Ochar_OChar
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring char2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->char))))))))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44248>, <kernel.DependentProduct object at 0x1d44758>) of role type named sy_c_String_Ochar__of__integer
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring char_of_integer:(code_integer->char)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d443b0>, <kernel.DependentProduct object at 0x1d442d8>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d445a8>, <kernel.DependentProduct object at 0x1d447e8>) of role type named sy_c_String_Ointeger__of__char
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring integer_of_char:(char->code_integer)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44248>, <kernel.DependentProduct object at 0x1d443b0>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d445a8>, <kernel.DependentProduct object at 0x1d448c0>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d443b0>, <kernel.DependentProduct object at 0x1d44950>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Real__Oreal_001t__Real__Oreal
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring topolo5044208981011980120l_real:(set_real->((real->real)->Prop))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d448c0>, <kernel.DependentProduct object at 0x1d443b0>) of role type named sy_c_Topological__Spaces_Ogenerate__topology_001_Eo
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring topolo4667128019001906403logy_o:(set_set_o->(set_o->Prop))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44950>, <kernel.DependentProduct object at 0x1d448c0>) of role type named sy_c_Topological__Spaces_Ogenerate__topology_001t__Int__Oint
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring topolo1611008123915946401gy_int:(set_set_int->(set_int->Prop))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d443b0>, <kernel.DependentProduct object at 0x1d44950>) of role type named sy_c_Topological__Spaces_Ogenerate__topology_001t__Nat__Onat
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring topolo1613498594424996677gy_nat:(set_set_nat->(set_nat->Prop))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d448c0>, <kernel.DependentProduct object at 0x1d44a70>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44950>, <kernel.DependentProduct object at 0x1d44b48>) of role type named sy_c_Topological__Spaces_Oopen__class_Oopen_001_Eo
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring topolo9180104560040979295open_o:(set_o->Prop)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44a70>, <kernel.DependentProduct object at 0x1d44bd8>) of role type named sy_c_Topological__Spaces_Oopen__class_Oopen_001t__Complex__Ocomplex
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring topolo4110288021797289639omplex:(set_complex->Prop)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44b48>, <kernel.DependentProduct object at 0x1d44c68>) of role type named sy_c_Topological__Spaces_Oopen__class_Oopen_001t__Int__Oint
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring topolo4325760605701065253en_int:(set_int->Prop)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44bd8>, <kernel.DependentProduct object at 0x1d44cf8>) of role type named sy_c_Topological__Spaces_Oopen__class_Oopen_001t__Nat__Onat
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring topolo4328251076210115529en_nat:(set_nat->Prop)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44c68>, <kernel.DependentProduct object at 0x1d44d88>) of role type named sy_c_Topological__Spaces_Oopen__class_Oopen_001t__Real__Oreal
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring topolo4860482606490270245n_real:(set_real->Prop)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44cf8>, <kernel.DependentProduct object at 0x1d44c68>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44d88>, <kernel.DependentProduct object at 0x1d44bd8>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44c68>, <kernel.DependentProduct object at 0x1d44f38>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Complex__Ocomplex
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring topolo6517432010174082258omplex:((nat->complex)->Prop)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44bd8>, <kernel.DependentProduct object at 0x1d44fc8>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44f38>, <kernel.Constant object at 0x1d44e60>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Complex__Ocomplex
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring topolo896644834953643431omplex:filter6041513312241820739omplex
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44f38>, <kernel.Constant object at 0x1d45050>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Real__Oreal
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring topolo1511823702728130853y_real:filter2146258269922977983l_real
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44e60>, <kernel.DependentProduct object at 0x1d45200>) of role type named sy_c_Transcendental_Oarccos
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring arccos:(real->real)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x1d44c68>, <kernel.DependentProduct object at 0x1d45248>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring arcosh_real:(real->real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d44e60>, <kernel.DependentProduct object at 0x1d45290>) of role type named sy_c_Transcendental_Oarcsin
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring arcsin:(real->real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d44f38>, <kernel.DependentProduct object at 0x1d452d8>) of role type named sy_c_Transcendental_Oarctan
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring arctan:(real->real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d44f38>, <kernel.DependentProduct object at 0x1d45320>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring arsinh_real:(real->real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d45170>, <kernel.DependentProduct object at 0x1d45368>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring artanh_real:(real->real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d45290>, <kernel.DependentProduct object at 0x1d453b0>) of role type named sy_c_Transcendental_Ocos_001t__Complex__Ocomplex
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring cos_complex:(complex->complex)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d452d8>, <kernel.DependentProduct object at 0x1d453f8>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring cos_real:(real->real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d451b8>, <kernel.DependentProduct object at 0x1d45488>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring cos_coeff:(nat->real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d453b0>, <kernel.DependentProduct object at 0x1d452d8>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring cosh_real:(real->real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d45488>, <kernel.DependentProduct object at 0x1d454d0>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring cot_real:(real->real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d45200>, <kernel.DependentProduct object at 0x1d45518>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring exp_complex:(complex->complex)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d451b8>, <kernel.DependentProduct object at 0x1d45560>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring exp_real:(real->real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d452d8>, <kernel.DependentProduct object at 0x1d455a8>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring ln_ln_real:(real->real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d454d0>, <kernel.DependentProduct object at 0x1d451b8>) of role type named sy_c_Transcendental_Olog
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring log:(real->(real->real))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d455f0>, <kernel.Constant object at 0x1d451b8>) of role type named sy_c_Transcendental_Opi
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring pi:real
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d455a8>, <kernel.DependentProduct object at 0x1d454d0>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring powr_real:(real->(real->real))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d45518>, <kernel.DependentProduct object at 0x1d456c8>) of role type named sy_c_Transcendental_Osin_001t__Complex__Ocomplex
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring sin_complex:(complex->complex)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d45488>, <kernel.DependentProduct object at 0x1d45560>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring sin_real:(real->real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d45320>, <kernel.DependentProduct object at 0x1d457a0>) of role type named sy_c_Transcendental_Osin__coeff
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring sin_coeff:(nat->real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d456c8>, <kernel.DependentProduct object at 0x1d45488>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring sinh_real:(real->real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x1d457a0>, <kernel.DependentProduct object at 0x1d457e8>) of role type named sy_c_Transcendental_Otan_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring tan_complex:(complex->complex)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d455f0>, <kernel.DependentProduct object at 0x1d45830>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring tan_real:(real->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45320>, <kernel.DependentProduct object at 0x1d45878>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring tanh_real:(real->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45488>, <kernel.DependentProduct object at 0x1d455f0>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T_i_n_s_e_r_t:(vEBT_VEBT->(nat->nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d458c0>, <kernel.DependentProduct object at 0x1d45320>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t_H
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T_i_n_s_e_r_t2:(vEBT_VEBT->(nat->nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45488>, <kernel.DependentProduct object at 0x1d45878>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t_H__rel
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T5076183648494686801_t_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45320>, <kernel.DependentProduct object at 0x1d456c8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t__rel
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T9217963907923527482_t_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d458c0>, <kernel.DependentProduct object at 0x1d45a70>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062a_092_060_094sub_062x_092_060_094sub_062t
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T_m_a_x_t:(vEBT_VEBT->nat)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45830>, <kernel.DependentProduct object at 0x1d45320>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062a_092_060_094sub_062x_092_060_094sub_062t__rel
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T_m_a_x_t_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45488>, <kernel.DependentProduct object at 0x1d458c0>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T_m_e_m_b_e_r:(vEBT_VEBT->(nat->nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45ab8>, <kernel.DependentProduct object at 0x1d45830>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r_H
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T_m_e_m_b_e_r2:(vEBT_VEBT->(nat->nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45488>, <kernel.DependentProduct object at 0x1d45320>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r_H__rel
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T8099345112685741742_r_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45830>, <kernel.DependentProduct object at 0x1d455f0>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r__rel
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T5837161174952499735_r_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45ab8>, <kernel.DependentProduct object at 0x1d45cb0>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062N_092_060_094sub_062u_092_060_094sub_062l_092_060_094sub_062l
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T_m_i_n_N_u_l_l:(vEBT_VEBT->nat)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45830>, <kernel.DependentProduct object at 0x1d45ab8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062N_092_060_094sub_062u_092_060_094sub_062l_092_060_094sub_062l__rel
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T5462971552011256508_l_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45488>, <kernel.DependentProduct object at 0x1d45d88>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062t
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T_m_i_n_t:(vEBT_VEBT->nat)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d455f0>, <kernel.DependentProduct object at 0x1d45830>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062t__rel
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T_m_i_n_t_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45cf8>, <kernel.DependentProduct object at 0x1d45488>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062p_092_060_094sub_062r_092_060_094sub_062e_092_060_094sub_062d
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T_p_r_e_d:(vEBT_VEBT->(nat->nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45dd0>, <kernel.DependentProduct object at 0x1d455f0>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062p_092_060_094sub_062r_092_060_094sub_062e_092_060_094sub_062d_H
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T_p_r_e_d2:(vEBT_VEBT->(nat->nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45e60>, <kernel.DependentProduct object at 0x1d455f0>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062p_092_060_094sub_062r_092_060_094sub_062e_092_060_094sub_062d_H__rel
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T_p_r_e_d_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45ef0>, <kernel.DependentProduct object at 0x1d455f0>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062p_092_060_094sub_062r_092_060_094sub_062e_092_060_094sub_062d__rel
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T_p_r_e_d_rel2:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45d88>, <kernel.DependentProduct object at 0x1d45e60>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T_s_u_c_c:(vEBT_VEBT->(nat->nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45dd0>, <kernel.DependentProduct object at 0x1d45ef0>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c_H
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T_s_u_c_c2:(vEBT_VEBT->(nat->nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45f80>, <kernel.DependentProduct object at 0x1d45ef0>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c_H__rel
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T_s_u_c_c_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45488>, <kernel.DependentProduct object at 0x1d45ef0>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c__rel
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_T_s_u_c_c_rel2:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d451b8>, <kernel.DependentProduct object at 0x1d45e60>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45d88>, <kernel.DependentProduct object at 0x1d4a050>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45e60>, <kernel.DependentProduct object at 0x1d47128>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d451b8>, <kernel.DependentProduct object at 0x1d4a128>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45e60>, <kernel.DependentProduct object at 0x1d4a170>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d451b8>, <kernel.DependentProduct object at 0x1d4a290>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d45e60>, <kernel.DependentProduct object at 0x1d4a170>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d451b8>, <kernel.DependentProduct object at 0x1d4a320>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d4a1b8>, <kernel.DependentProduct object at 0x1d4a290>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d4a050>, <kernel.DependentProduct object at 0x1d4a320>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d4a1b8>, <kernel.DependentProduct object at 0x1d4a128>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d4a3f8>, <kernel.DependentProduct object at 0x1d4a320>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d4a4d0>, <kernel.DependentProduct object at 0x1d4a320>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d4a368>, <kernel.DependentProduct object at 0x1d4a4d0>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d4a560>, <kernel.DependentProduct object at 0x1d4a5f0>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d4a128>, <kernel.DependentProduct object at 0x1d4a320>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d4a368>, <kernel.DependentProduct object at 0x1d4a128>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x1d4a638>, <kernel.DependentProduct object at 0x1d4a320>) of role type named sy_c_VEBT__DeleteBounds_OT_092_060_094sub_062d_092_060_094sub_062e_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062t_092_060_094sub_062e
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_T_d_e_l_e_t_e:(vEBT_VEBT->(nat->nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a368>, <kernel.DependentProduct object at 0x1d4a5f0>) of role type named sy_c_VEBT__DeleteBounds_OT_092_060_094sub_062d_092_060_094sub_062e_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062t_092_060_094sub_062e__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_T8441311223069195367_e_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a5a8>, <kernel.DependentProduct object at 0x1d4a368>) of role type named sy_c_VEBT__Delete_Ovebt__delete
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_delete:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a830>, <kernel.DependentProduct object at 0x1d4a5a8>) of role type named sy_c_VEBT__Delete_Ovebt__delete__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_delete_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a638>, <kernel.DependentProduct object at 0x1d4a320>) of role type named sy_c_VEBT__Height_OVEBT__internal_Oheight
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_height:(vEBT_VEBT->nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a6c8>, <kernel.DependentProduct object at 0x1d4a830>) of role type named sy_c_VEBT__Height_OVEBT__internal_Oheight__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_height_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a7a0>, <kernel.DependentProduct object at 0x1d4a6c8>) of role type named sy_c_VEBT__Insert_Ovebt__insert
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_insert:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a950>, <kernel.DependentProduct object at 0x1d4a7a0>) of role type named sy_c_VEBT__Insert_Ovebt__insert__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_insert_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a908>, <kernel.DependentProduct object at 0x1d4a830>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a320>, <kernel.DependentProduct object at 0x1d4a5a8>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a908>, <kernel.DependentProduct object at 0x1d4a320>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_V6963167321098673237ll_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4aa28>, <kernel.DependentProduct object at 0x1d4a8c0>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a878>, <kernel.DependentProduct object at 0x1d4aa28>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a5a8>, <kernel.DependentProduct object at 0x1d4a878>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a320>, <kernel.DependentProduct object at 0x1d4a8c0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oadd
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_add:(option_nat->(option_nat->option_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a908>, <kernel.DependentProduct object at 0x1d4a5a8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ogreater
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_greater:(option_nat->(option_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4aab8>, <kernel.DependentProduct object at 0x1d4a320>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oless
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_less:(option_nat->(option_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4ab90>, <kernel.DependentProduct object at 0x1d4a908>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Olesseq
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_lesseq:(option_nat->(option_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a878>, <kernel.DependentProduct object at 0x1d4aab8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omax__in__set
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_max_in_set:(set_nat->(nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a8c0>, <kernel.DependentProduct object at 0x1d4ab90>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omin__in__set
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_min_in_set:(set_nat->(nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a5a8>, <kernel.DependentProduct object at 0x1d4a878>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omul
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_mul:(option_nat->(option_nat->option_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a8c0>, <kernel.DependentProduct object at 0x1d4ad88>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_V4262088993061758097ft_nat:((nat->(nat->nat))->(option_nat->(option_nat->option_nat)))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a878>, <kernel.DependentProduct object at 0x1d4aea8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Num__Onum
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_V819420779217536731ft_num:((num->(num->num))->(option_num->(option_num->option_num)))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4ad88>, <kernel.DependentProduct object at 0x1d4abd8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_V1502963449132264192at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(option4927543243414619207at_nat->(option4927543243414619207at_nat->option4927543243414619207at_nat)))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4aea8>, <kernel.DependentProduct object at 0x1d4a908>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift__rel_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_V3895251965096974666el_nat:(produc8306885398267862888on_nat->(produc8306885398267862888on_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4abd8>, <kernel.DependentProduct object at 0x1d4ae18>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift__rel_001t__Num__Onum
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_V452583751252753300el_num:(produc1193250871479095198on_num->(produc1193250871479095198on_num->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a908>, <kernel.DependentProduct object at 0x1d4d098>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift__rel_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_V7235779383477046023at_nat:(produc5542196010084753463at_nat->(produc5542196010084753463at_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4abd8>, <kernel.DependentProduct object at 0x1d4ab90>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Opower
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_power:(option_nat->(option_nat->option_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a830>, <kernel.DependentProduct object at 0x1d4d170>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_maxt:(vEBT_VEBT->option_nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4abd8>, <kernel.DependentProduct object at 0x1d4d050>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_maxt_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4a830>, <kernel.DependentProduct object at 0x1d4d200>) of role type named sy_c_VEBT__MinMax_Ovebt__mint
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_mint:(vEBT_VEBT->option_nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4abd8>, <kernel.DependentProduct object at 0x1d4d0e0>) of role type named sy_c_VEBT__MinMax_Ovebt__mint__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_mint_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4abd8>, <kernel.DependentProduct object at 0x1d4d170>) of role type named sy_c_VEBT__Pred_Ois__pred__in__set
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_is_pred_in_set:(set_nat->(nat->(nat->Prop)))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4abd8>, <kernel.DependentProduct object at 0x1d4d1b8>) of role type named sy_c_VEBT__Pred_Ovebt__pred
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_pred:(vEBT_VEBT->(nat->option_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4d2d8>, <kernel.DependentProduct object at 0x1d4d200>) of role type named sy_c_VEBT__Pred_Ovebt__pred__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_pred_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4d050>, <kernel.DependentProduct object at 0x1d4d1b8>) of role type named sy_c_VEBT__Succ_Ois__succ__in__set
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_is_succ_in_set:(set_nat->(nat->(nat->Prop)))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4d3f8>, <kernel.DependentProduct object at 0x1d4d320>) of role type named sy_c_VEBT__Succ_Ovebt__succ
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_succ:(vEBT_VEBT->(nat->option_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4d098>, <kernel.DependentProduct object at 0x1d4d170>) of role type named sy_c_VEBT__Succ_Ovebt__succ__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_succ_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4d0e0>, <kernel.DependentProduct object at 0x1d4d1b8>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4d320>, <kernel.DependentProduct object at 0x1d4d098>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring accp_P6019419558468335806at_nat:((produc4471711990508489141at_nat->(produc4471711990508489141at_nat->Prop))->(produc4471711990508489141at_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4d1b8>, <kernel.DependentProduct object at 0x1d4d2d8>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring accp_P5496254298877145759on_nat:((produc8306885398267862888on_nat->(produc8306885398267862888on_nat->Prop))->(produc8306885398267862888on_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4d098>, <kernel.DependentProduct object at 0x1d4d4d0>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring accp_P4916641582247091100at_num:((produc3368934014287244435at_num->(produc3368934014287244435at_num->Prop))->(produc3368934014287244435at_num->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4d2d8>, <kernel.DependentProduct object at 0x1d4d560>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_I_062_It__Num__Onum_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring accp_P7605991808943153877on_num:((produc1193250871479095198on_num->(produc1193250871479095198on_num->Prop))->(produc1193250871479095198on_num->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x1d4d4d0>, <kernel.DependentProduct object at 0x1d4d5f0>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring accp_P3267385326087170368at_nat:((produc5542196010084753463at_nat->(produc5542196010084753463at_nat->Prop))->(produc5542196010084753463at_nat->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4d560>, <kernel.DependentProduct object at 0x1d4d2d8>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4d5f0>, <kernel.DependentProduct object at 0x1d4d758>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4d2d8>, <kernel.DependentProduct object at 0x1d4d7e8>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring accp_P3113834385874906142um_num:((product_prod_num_num->(product_prod_num_num->Prop))->(product_prod_num_num->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4d758>, <kernel.DependentProduct object at 0x1d4d4d0>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4d5f0>, <kernel.DependentProduct object at 0x1d4d2d8>) of role type named sy_c_Wellfounded_Oaccp_001t__VEBT____Definitions__OVEBT
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring accp_VEBT_VEBT:((vEBT_VEBT->(vEBT_VEBT->Prop))->(vEBT_VEBT->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4d4d0>, <kernel.DependentProduct object at 0x1d4d950>) of role type named sy_c_Wellfounded_Omeasure_001t__Int__Oint
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring measure_int:((int->nat)->set_Pr958786334691620121nt_int)
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4d8c0>, <kernel.DependentProduct object at 0x1d4d7e8>) of role type named sy_c_Wellfounded_Omeasure_001t__Nat__Onat
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring measure_nat:((nat->nat)->set_Pr1261947904930325089at_nat)
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4d758>, <kernel.DependentProduct object at 0x1d4d9e0>) of role type named sy_c_Wellfounded_Omeasure_001t__Num__Onum
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring measure_num:((num->nat)->set_Pr8218934625190621173um_num)
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4d3b0>, <kernel.DependentProduct object at 0x1d4db00>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring fChoice_real:((real->Prop)->real)
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4da70>, <kernel.DependentProduct object at 0x1d4d3b0>) of role type named sy_c_member_001_Eo
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring member_o:(Prop->(set_o->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4d5f0>, <kernel.DependentProduct object at 0x1d4da70>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring member_complex:(complex->(set_complex->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4d7e8>, <kernel.DependentProduct object at 0x1d4d9e0>) of role type named sy_c_member_001t__Int__Oint
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring member_int:(int->(set_int->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4db00>, <kernel.DependentProduct object at 0x1d4d3b0>) of role type named sy_c_member_001t__List__Olist_I_Eo_J
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring member_list_o:(list_o->(set_list_o->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4da70>, <kernel.DependentProduct object at 0x1d4d7e8>) of role type named sy_c_member_001t__List__Olist_It__Int__Oint_J
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring member_list_int:(list_int->(set_list_int->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4db00>, <kernel.DependentProduct object at 0x1d4da70>) of role type named sy_c_member_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring member2936631157270082147T_VEBT:(list_VEBT_VEBT->(set_list_VEBT_VEBT->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4d5f0>, <kernel.DependentProduct object at 0x1d4d7e8>) of role type named sy_c_member_001t__Nat__Onat
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring member_nat:(nat->(set_nat->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4dcb0>, <kernel.DependentProduct object at 0x1d4db00>) of role type named sy_c_member_001t__Num__Onum
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring member_num:(num->(set_num->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4d5f0>, <kernel.DependentProduct object at 0x1d4da70>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring member1379723562493234055eger_o:(produc6271795597528267376eger_o->(set_Pr448751882837621926eger_o->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4db00>, <kernel.DependentProduct object at 0x1d4ddd0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring member5262025264175285858nt_int:(product_prod_int_int->(set_Pr958786334691620121nt_int->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4da70>, <kernel.DependentProduct object at 0x1d4de60>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring member8440522571783428010at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4ddd0>, <kernel.DependentProduct object at 0x1d4def0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring member9148766508732265716at_num:(product_prod_nat_num->(set_Pr6200539531224447659at_num->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4de60>, <kernel.DependentProduct object at 0x1d4df80>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring member7279096912039735102um_num:(product_prod_num_num->(set_Pr8218934625190621173um_num->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4da70>, <kernel.DependentProduct object at 0x1d50050>) of role type named sy_c_member_001t__Rat__Orat
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring member_rat:(rat->(set_rat->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4d4d0>, <kernel.DependentProduct object at 0x1d50098>) of role type named sy_c_member_001t__Real__Oreal
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring member_real:(real->(set_real->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4d5f0>, <kernel.DependentProduct object at 0x1d50050>) of role type named sy_c_member_001t__Set__Oset_It__Int__Oint_J
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring member_set_int:(set_int->(set_set_int->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4df80>, <kernel.DependentProduct object at 0x1d50128>) of role type named sy_c_member_001t__Set__Oset_It__Nat__Onat_J
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring member_set_nat:(set_nat->(set_set_nat->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4db00>, <kernel.DependentProduct object at 0x1d501b8>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4d5f0>, <kernel.Constant object at 0x1d50050>) of role type named sy_v_a____
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring a:nat
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4db00>, <kernel.Constant object at 0x1d50050>) of role type named sy_v_deg____
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring deg:nat
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4d5f0>, <kernel.Constant object at 0x1d50050>) of role type named sy_v_m____
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring m:nat
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d4d5f0>, <kernel.Constant object at 0x1d50050>) of role type named sy_v_ma____
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring ma:nat
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x1d50170>, <kernel.Constant object at 0x1d50050>) of role type named sy_v_mi____
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring mi:nat
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x1d50248>, <kernel.Constant object at 0x1d50050>) of role type named sy_v_na____
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring na:nat
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x1d50290>, <kernel.Constant object at 0x1d50050>) of role type named sy_v_summary____
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring summary:vEBT_VEBT
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x1d502d8>, <kernel.Constant object at 0x1d50050>) of role type named sy_v_treeList____
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring treeList:list_VEBT_VEBT
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x1d50320>, <kernel.Constant object at 0x1d50050>) of role type named sy_v_xa____
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring xa:nat
% 0.72/0.90 FOF formula (((eq nat) xa) ma) of role axiom named fact_0_True
% 0.72/0.90 A new axiom: (((eq nat) xa) ma)
% 0.72/0.90 FOF formula (not (((eq nat) xa) mi)) of role axiom named fact_1_False
% 0.72/0.90 A new axiom: (not (((eq nat) xa) mi))
% 0.72/0.90 FOF formula ((ord_less_eq_nat mi) ma) of role axiom named fact_2__C5_Ohyps_C_I7_J
% 0.72/0.90 A new axiom: ((ord_less_eq_nat mi) ma)
% 0.72/0.90 FOF formula (((eq (set_nat->(nat->Prop))) vEBT_VEBT_max_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat Y) X)))))) of role axiom named fact_3_max__in__set__def
% 0.72/0.90 A new axiom: (((eq (set_nat->(nat->Prop))) vEBT_VEBT_max_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat Y) X))))))
% 0.72/0.90 FOF formula (((eq (set_nat->(nat->Prop))) vEBT_VEBT_min_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat X) Y)))))) of role axiom named fact_4_min__in__set__def
% 0.72/0.90 A new axiom: (((eq (set_nat->(nat->Prop))) vEBT_VEBT_min_in_set) (fun (Xs:set_nat) (X:nat)=> ((and ((member_nat X) Xs)) (forall (Y:nat), (((member_nat Y) Xs)->((ord_less_eq_nat X) Y))))))
% 0.72/0.90 FOF formula ((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) deg) of role axiom named fact_5_deggy
% 0.72/0.90 A new axiom: ((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) deg)
% 0.72/0.90 FOF formula ((and ((ord_less_eq_nat mi) xa)) ((ord_less_eq_nat xa) ma)) of role axiom named fact_6__092_060open_062mi_A_092_060le_062_Ax_A_092_060and_062_Ax_A_092_060le_062_Ama_092_060close_062
% 0.72/0.90 A new axiom: ((and ((ord_less_eq_nat mi) xa)) ((ord_less_eq_nat xa) ma))
% 0.72/0.90 FOF formula (forall (Deg:nat) (Mi:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT) (X2:nat), (((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) Deg)->((ord_less_eq_nat ((vEBT_T_d_e_l_e_t_e ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Mi))) Deg) TreeList) Summary)) X2)) (numeral_numeral_nat (bit1 (bit0 (bit0 one))))))) of role axiom named fact_7_tdeletemimi
% 0.72/0.90 A new axiom: (forall (Deg:nat) (Mi:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT) (X2:nat), (((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) Deg)->((ord_less_eq_nat ((vEBT_T_d_e_l_e_t_e ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Mi))) Deg) TreeList) Summary)) X2)) (numeral_numeral_nat (bit1 (bit0 (bit0 one)))))))
% 0.72/0.90 FOF formula (forall (X2:nat) (D:nat), (((eq nat) (((vEBT_VEBT_bit_concat ((vEBT_VEBT_high X2) D)) ((vEBT_VEBT_low X2) D)) D)) X2)) of role axiom named fact_8_bit__split__inv
% 0.72/0.90 A new axiom: (forall (X2:nat) (D:nat), (((eq nat) (((vEBT_VEBT_bit_concat ((vEBT_VEBT_high X2) D)) ((vEBT_VEBT_low X2) D)) D)) X2))
% 0.72/0.90 FOF formula ((ord_less_eq_nat ((vEBT_T_d_e_l_e_t_e ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_VEBT_low xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) (numeral_numeral_nat (bit1 (bit0 (bit0 one))))) of role axiom named fact_9__C7_C
% 0.72/0.90 A new axiom: ((ord_less_eq_nat ((vEBT_T_d_e_l_e_t_e ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_VEBT_low xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) (numeral_numeral_nat (bit1 (bit0 (bit0 one)))))
% 0.72/0.90 FOF formula ((ord_less_eq_nat (vEBT_T_m_a_x_t ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_VEBT_low xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))))) (the_nat (vEBT_vebt_maxt ((vEBT_vebt_delete summary) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))))))) (numeral_numeral_nat (bit1 one))) of role axiom named fact_10__092_060open_062T_092_060_094sub_062m_092_060_094sub_062a_092_060_094sub_062x_092_060_094sub_062t_A_ItreeList_A_091high_Ax_A_Ideg_Adiv_A2_J_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_093_A_B_Athe_A_Ivebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_J_J_J_A_092_060le_062_A3_092_060close_062
% 0.72/0.90 A new axiom: ((ord_less_eq_nat (vEBT_T_m_a_x_t ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_VEBT_low xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))))) (the_nat (vEBT_vebt_maxt ((vEBT_vebt_delete summary) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))))))) (numeral_numeral_nat (bit1 one)))
% 0.72/0.90 FOF formula ((ord_less_eq_nat ((vEBT_T_d_e_l_e_t_e ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat mi) ma))) deg) treeList) summary)) xa)) ((plus_plus_nat ((plus_plus_nat ((plus_plus_nat ((plus_plus_nat (numeral_numeral_nat (bit1 (bit0 (bit1 (bit1 (bit0 one))))))) ((vEBT_T_d_e_l_e_t_e summary) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))))) one_one_nat)) (numeral_numeral_nat (bit0 (bit0 (bit0 one)))))) (vEBT_T_m_a_x_t ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_VEBT_low xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))))) (the_nat (vEBT_vebt_maxt ((vEBT_vebt_delete summary) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))))))))) of role axiom named fact_11__C12_C
% 0.72/0.90 A new axiom: ((ord_less_eq_nat ((vEBT_T_d_e_l_e_t_e ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat mi) ma))) deg) treeList) summary)) xa)) ((plus_plus_nat ((plus_plus_nat ((plus_plus_nat ((plus_plus_nat (numeral_numeral_nat (bit1 (bit0 (bit1 (bit1 (bit0 one))))))) ((vEBT_T_d_e_l_e_t_e summary) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))))) one_one_nat)) (numeral_numeral_nat (bit0 (bit0 (bit0 one)))))) (vEBT_T_m_a_x_t ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_VEBT_low xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))))) (the_nat (vEBT_vebt_maxt ((vEBT_vebt_delete summary) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))))))))))
% 0.72/0.90 FOF formula (forall (X2:nat) (Mi:nat) (Ma:nat) (Deg:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT), (((or (((eq nat) X2) Mi)) (((eq nat) X2) Ma))->(((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) Deg)->(((eq vEBT_VEBT) ((vEBT_vebt_insert ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary)) X2)) ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary))))) of role axiom named fact_12_insert__simp__mima
% 0.72/0.90 A new axiom: (forall (X2:nat) (Mi:nat) (Ma:nat) (Deg:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT), (((or (((eq nat) X2) Mi)) (((eq nat) X2) Ma))->(((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) Deg)->(((eq vEBT_VEBT) ((vEBT_vebt_insert ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary)) X2)) ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary)))))
% 0.72/0.91 FOF formula (forall (M:nat), (((eq nat) ((divide_divide_nat ((plus_plus_nat M) M)) (numeral_numeral_nat (bit0 one)))) M)) of role axiom named fact_13_add__self__div__2
% 0.72/0.91 A new axiom: (forall (M:nat), (((eq nat) ((divide_divide_nat ((plus_plus_nat M) M)) (numeral_numeral_nat (bit0 one)))) M))
% 0.72/0.91 FOF formula (forall (K:nat) (M:nat) (N:nat), (((eq Prop) ((ord_less_eq_nat ((plus_plus_nat K) M)) ((plus_plus_nat K) N))) ((ord_less_eq_nat M) N))) of role axiom named fact_14_nat__add__left__cancel__le
% 0.72/0.91 A new axiom: (forall (K:nat) (M:nat) (N:nat), (((eq Prop) ((ord_less_eq_nat ((plus_plus_nat K) M)) ((plus_plus_nat K) N))) ((ord_less_eq_nat M) N)))
% 0.72/0.91 FOF formula (forall (M:num), (not (((eq num) (bit1 M)) one))) of role axiom named fact_15_semiring__norm_I86_J
% 0.72/0.91 A new axiom: (forall (M:num), (not (((eq num) (bit1 M)) one)))
% 0.72/0.91 FOF formula (forall (N:num), (not (((eq num) one) (bit1 N)))) of role axiom named fact_16_semiring__norm_I84_J
% 0.72/0.91 A new axiom: (forall (N:num), (not (((eq num) one) (bit1 N))))
% 0.72/0.91 FOF formula (forall (M:num) (N:num), (not (((eq num) (bit1 M)) (bit0 N)))) of role axiom named fact_17_semiring__norm_I89_J
% 0.72/0.91 A new axiom: (forall (M:num) (N:num), (not (((eq num) (bit1 M)) (bit0 N))))
% 0.72/0.91 FOF formula (forall (M:num) (N:num), (not (((eq num) (bit0 M)) (bit1 N)))) of role axiom named fact_18_semiring__norm_I88_J
% 0.72/0.91 A new axiom: (forall (M:num) (N:num), (not (((eq num) (bit0 M)) (bit1 N))))
% 0.72/0.91 FOF formula (forall (N:num), (((eq nat) ((divide_divide_nat (numeral_numeral_nat (bit1 N))) (numeral_numeral_nat (bit0 one)))) (numeral_numeral_nat N))) of role axiom named fact_19_numeral__Bit1__div__2
% 0.72/0.91 A new axiom: (forall (N:num), (((eq nat) ((divide_divide_nat (numeral_numeral_nat (bit1 N))) (numeral_numeral_nat (bit0 one)))) (numeral_numeral_nat N)))
% 0.72/0.91 FOF formula (forall (N:num), (((eq int) ((divide_divide_int (numeral_numeral_int (bit1 N))) (numeral_numeral_int (bit0 one)))) (numeral_numeral_int N))) of role axiom named fact_20_numeral__Bit1__div__2
% 0.72/0.91 A new axiom: (forall (N:num), (((eq int) ((divide_divide_int (numeral_numeral_int (bit1 N))) (numeral_numeral_int (bit0 one)))) (numeral_numeral_int N)))
% 0.72/0.91 FOF formula (forall (X2:real), (((eq real) ((plus_plus_real ((divide_divide_real X2) (numeral_numeral_real (bit0 one)))) ((divide_divide_real X2) (numeral_numeral_real (bit0 one))))) X2)) of role axiom named fact_21_field__sum__of__halves
% 0.72/0.91 A new axiom: (forall (X2:real), (((eq real) ((plus_plus_real ((divide_divide_real X2) (numeral_numeral_real (bit0 one)))) ((divide_divide_real X2) (numeral_numeral_real (bit0 one))))) X2))
% 0.72/0.91 FOF formula (forall (X2:rat), (((eq rat) ((plus_plus_rat ((divide_divide_rat X2) (numeral_numeral_rat (bit0 one)))) ((divide_divide_rat X2) (numeral_numeral_rat (bit0 one))))) X2)) of role axiom named fact_22_field__sum__of__halves
% 0.72/0.91 A new axiom: (forall (X2:rat), (((eq rat) ((plus_plus_rat ((divide_divide_rat X2) (numeral_numeral_rat (bit0 one)))) ((divide_divide_rat X2) (numeral_numeral_rat (bit0 one))))) X2))
% 0.72/0.91 FOF formula (forall (M:num), (not (((eq num) (bit0 M)) one))) of role axiom named fact_23_semiring__norm_I85_J
% 0.72/0.91 A new axiom: (forall (M:num), (not (((eq num) (bit0 M)) one)))
% 0.72/0.91 FOF formula (forall (M:num) (N:num), (((eq num) ((plus_plus_num (bit0 M)) (bit0 N))) (bit0 ((plus_plus_num M) N)))) of role axiom named fact_24_semiring__norm_I6_J
% 0.72/0.91 A new axiom: (forall (M:num) (N:num), (((eq num) ((plus_plus_num (bit0 M)) (bit0 N))) (bit0 ((plus_plus_num M) N))))
% 0.72/0.91 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq num) (bit0 M)) (bit0 N))) (((eq num) M) N))) of role axiom named fact_25_semiring__norm_I87_J
% 0.72/0.91 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq num) (bit0 M)) (bit0 N))) (((eq num) M) N)))
% 0.72/0.91 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq num) (bit1 M)) (bit1 N))) (((eq num) M) N))) of role axiom named fact_26_semiring__norm_I90_J
% 0.76/0.92 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq num) (bit1 M)) (bit1 N))) (((eq num) M) N)))
% 0.76/0.92 FOF formula (((eq num) ((plus_plus_num one) one)) (bit0 one)) of role axiom named fact_27_semiring__norm_I2_J
% 0.76/0.92 A new axiom: (((eq num) ((plus_plus_num one) one)) (bit0 one))
% 0.76/0.92 FOF formula (forall (N:num), (not (((eq num) one) (bit0 N)))) of role axiom named fact_28_semiring__norm_I83_J
% 0.76/0.92 A new axiom: (forall (N:num), (not (((eq num) one) (bit0 N))))
% 0.76/0.92 FOF formula (forall (M:num) (N:num), (((eq num) ((plus_plus_num (bit0 M)) (bit1 N))) (bit1 ((plus_plus_num M) N)))) of role axiom named fact_29_semiring__norm_I7_J
% 0.76/0.92 A new axiom: (forall (M:num) (N:num), (((eq num) ((plus_plus_num (bit0 M)) (bit1 N))) (bit1 ((plus_plus_num M) N))))
% 0.76/0.92 FOF formula (forall (M:num) (N:num), (((eq num) ((plus_plus_num (bit1 M)) (bit0 N))) (bit1 ((plus_plus_num M) N)))) of role axiom named fact_30_semiring__norm_I9_J
% 0.76/0.92 A new axiom: (forall (M:num) (N:num), (((eq num) ((plus_plus_num (bit1 M)) (bit0 N))) (bit1 ((plus_plus_num M) N))))
% 0.76/0.92 FOF formula (forall (N:num), (((eq num) ((plus_plus_num one) (bit0 N))) (bit1 N))) of role axiom named fact_31_semiring__norm_I3_J
% 0.76/0.92 A new axiom: (forall (N:num), (((eq num) ((plus_plus_num one) (bit0 N))) (bit1 N)))
% 0.76/0.92 FOF formula (forall (N:num), (((eq num) ((plus_plus_num one) (bit1 N))) (bit0 ((plus_plus_num N) one)))) of role axiom named fact_32_semiring__norm_I4_J
% 0.76/0.92 A new axiom: (forall (N:num), (((eq num) ((plus_plus_num one) (bit1 N))) (bit0 ((plus_plus_num N) one))))
% 0.76/0.92 FOF formula (forall (M:num), (((eq num) ((plus_plus_num (bit0 M)) one)) (bit1 M))) of role axiom named fact_33_semiring__norm_I5_J
% 0.76/0.92 A new axiom: (forall (M:num), (((eq num) ((plus_plus_num (bit0 M)) one)) (bit1 M)))
% 0.76/0.92 FOF formula (forall (M:num), (((eq num) ((plus_plus_num (bit1 M)) one)) (bit0 ((plus_plus_num M) one)))) of role axiom named fact_34_semiring__norm_I8_J
% 0.76/0.92 A new axiom: (forall (M:num), (((eq num) ((plus_plus_num (bit1 M)) one)) (bit0 ((plus_plus_num M) one))))
% 0.76/0.92 FOF formula (forall (M:num) (N:num), (((eq num) ((plus_plus_num (bit1 M)) (bit1 N))) (bit0 ((plus_plus_num ((plus_plus_num M) N)) one)))) of role axiom named fact_35_semiring__norm_I10_J
% 0.76/0.92 A new axiom: (forall (M:num) (N:num), (((eq num) ((plus_plus_num (bit1 M)) (bit1 N))) (bit0 ((plus_plus_num ((plus_plus_num M) N)) one))))
% 0.76/0.92 FOF formula (forall (P:(nat->Prop)) (K:nat) (B:nat), ((P K)->((forall (Y2:nat), ((P Y2)->((ord_less_eq_nat Y2) B)))->((ex nat) (fun (X3:nat)=> ((and (P X3)) (forall (Y3:nat), ((P Y3)->((ord_less_eq_nat Y3) X3))))))))) of role axiom named fact_36_Nat_Oex__has__greatest__nat
% 0.76/0.92 A new axiom: (forall (P:(nat->Prop)) (K:nat) (B:nat), ((P K)->((forall (Y2:nat), ((P Y2)->((ord_less_eq_nat Y2) B)))->((ex nat) (fun (X3:nat)=> ((and (P X3)) (forall (Y3:nat), ((P Y3)->((ord_less_eq_nat Y3) X3)))))))))
% 0.76/0.92 FOF formula (forall (M:nat) (N:nat), ((or ((ord_less_eq_nat M) N)) ((ord_less_eq_nat N) M))) of role axiom named fact_37_nat__le__linear
% 0.76/0.92 A new axiom: (forall (M:nat) (N:nat), ((or ((ord_less_eq_nat M) N)) ((ord_less_eq_nat N) M)))
% 0.76/0.92 FOF formula (forall (M:nat) (N:nat), (((ord_less_eq_nat M) N)->(((ord_less_eq_nat N) M)->(((eq nat) M) N)))) of role axiom named fact_38_le__antisym
% 0.76/0.92 A new axiom: (forall (M:nat) (N:nat), (((ord_less_eq_nat M) N)->(((ord_less_eq_nat N) M)->(((eq nat) M) N))))
% 0.76/0.92 FOF formula (forall (M:nat) (N:nat), ((((eq nat) M) N)->((ord_less_eq_nat M) N))) of role axiom named fact_39_eq__imp__le
% 0.76/0.92 A new axiom: (forall (M:nat) (N:nat), ((((eq nat) M) N)->((ord_less_eq_nat M) N)))
% 0.76/0.92 FOF formula (forall (_TPTP_I:nat) (J:nat) (K:nat), (((ord_less_eq_nat _TPTP_I) J)->(((ord_less_eq_nat J) K)->((ord_less_eq_nat _TPTP_I) K)))) of role axiom named fact_40_le__trans
% 0.76/0.92 A new axiom: (forall (_TPTP_I:nat) (J:nat) (K:nat), (((ord_less_eq_nat _TPTP_I) J)->(((ord_less_eq_nat J) K)->((ord_less_eq_nat _TPTP_I) K))))
% 0.76/0.92 FOF formula (forall (N:nat), ((ord_less_eq_nat N) N)) of role axiom named fact_41_le__refl
% 0.76/0.92 A new axiom: (forall (N:nat), ((ord_less_eq_nat N) N))
% 0.76/0.92 FOF formula (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (M2:nat) (N2:nat)=> ((ex nat) (fun (K2:nat)=> (((eq nat) N2) ((plus_plus_nat M2) K2)))))) of role axiom named fact_42_nat__le__iff__add
% 0.76/0.93 A new axiom: (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (M2:nat) (N2:nat)=> ((ex nat) (fun (K2:nat)=> (((eq nat) N2) ((plus_plus_nat M2) K2))))))
% 0.76/0.93 FOF formula (forall (_TPTP_I:nat) (J:nat) (M:nat), (((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat _TPTP_I) ((plus_plus_nat M) J)))) of role axiom named fact_43_trans__le__add2
% 0.76/0.93 A new axiom: (forall (_TPTP_I:nat) (J:nat) (M:nat), (((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat _TPTP_I) ((plus_plus_nat M) J))))
% 0.76/0.93 FOF formula (forall (_TPTP_I:nat) (J:nat) (M:nat), (((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat _TPTP_I) ((plus_plus_nat J) M)))) of role axiom named fact_44_trans__le__add1
% 0.76/0.93 A new axiom: (forall (_TPTP_I:nat) (J:nat) (M:nat), (((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat _TPTP_I) ((plus_plus_nat J) M))))
% 0.76/0.93 FOF formula (forall (_TPTP_I:nat) (J:nat) (K:nat), (((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat ((plus_plus_nat _TPTP_I) K)) ((plus_plus_nat J) K)))) of role axiom named fact_45_add__le__mono1
% 0.76/0.93 A new axiom: (forall (_TPTP_I:nat) (J:nat) (K:nat), (((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat ((plus_plus_nat _TPTP_I) K)) ((plus_plus_nat J) K))))
% 0.76/0.93 FOF formula (forall (A:real) (P:(real->Prop)), (((eq Prop) ((member_real A) (collect_real P))) (P A))) of role axiom named fact_46_mem__Collect__eq
% 0.76/0.93 A new axiom: (forall (A:real) (P:(real->Prop)), (((eq Prop) ((member_real A) (collect_real P))) (P A)))
% 0.76/0.93 FOF formula (forall (A:product_prod_int_int) (P:(product_prod_int_int->Prop)), (((eq Prop) ((member5262025264175285858nt_int A) (collec213857154873943460nt_int P))) (P A))) of role axiom named fact_47_mem__Collect__eq
% 0.76/0.93 A new axiom: (forall (A:product_prod_int_int) (P:(product_prod_int_int->Prop)), (((eq Prop) ((member5262025264175285858nt_int A) (collec213857154873943460nt_int P))) (P A)))
% 0.76/0.93 FOF formula (forall (A:complex) (P:(complex->Prop)), (((eq Prop) ((member_complex A) (collect_complex P))) (P A))) of role axiom named fact_48_mem__Collect__eq
% 0.76/0.93 A new axiom: (forall (A:complex) (P:(complex->Prop)), (((eq Prop) ((member_complex A) (collect_complex P))) (P A)))
% 0.76/0.93 FOF formula (forall (A:set_nat) (P:(set_nat->Prop)), (((eq Prop) ((member_set_nat A) (collect_set_nat P))) (P A))) of role axiom named fact_49_mem__Collect__eq
% 0.76/0.93 A new axiom: (forall (A:set_nat) (P:(set_nat->Prop)), (((eq Prop) ((member_set_nat A) (collect_set_nat P))) (P A)))
% 0.76/0.93 FOF formula (forall (A:nat) (P:(nat->Prop)), (((eq Prop) ((member_nat A) (collect_nat P))) (P A))) of role axiom named fact_50_mem__Collect__eq
% 0.76/0.93 A new axiom: (forall (A:nat) (P:(nat->Prop)), (((eq Prop) ((member_nat A) (collect_nat P))) (P A)))
% 0.76/0.93 FOF formula (forall (A:int) (P:(int->Prop)), (((eq Prop) ((member_int A) (collect_int P))) (P A))) of role axiom named fact_51_mem__Collect__eq
% 0.76/0.93 A new axiom: (forall (A:int) (P:(int->Prop)), (((eq Prop) ((member_int A) (collect_int P))) (P A)))
% 0.76/0.93 FOF formula (forall (A2:set_real), (((eq set_real) (collect_real (fun (X:real)=> ((member_real X) A2)))) A2)) of role axiom named fact_52_Collect__mem__eq
% 0.76/0.93 A new axiom: (forall (A2:set_real), (((eq set_real) (collect_real (fun (X:real)=> ((member_real X) A2)))) A2))
% 0.76/0.93 FOF formula (forall (A2:set_Pr958786334691620121nt_int), (((eq set_Pr958786334691620121nt_int) (collec213857154873943460nt_int (fun (X:product_prod_int_int)=> ((member5262025264175285858nt_int X) A2)))) A2)) of role axiom named fact_53_Collect__mem__eq
% 0.76/0.93 A new axiom: (forall (A2:set_Pr958786334691620121nt_int), (((eq set_Pr958786334691620121nt_int) (collec213857154873943460nt_int (fun (X:product_prod_int_int)=> ((member5262025264175285858nt_int X) A2)))) A2))
% 0.76/0.93 FOF formula (forall (A2:set_complex), (((eq set_complex) (collect_complex (fun (X:complex)=> ((member_complex X) A2)))) A2)) of role axiom named fact_54_Collect__mem__eq
% 0.76/0.93 A new axiom: (forall (A2:set_complex), (((eq set_complex) (collect_complex (fun (X:complex)=> ((member_complex X) A2)))) A2))
% 0.76/0.93 FOF formula (forall (A2:set_set_nat), (((eq set_set_nat) (collect_set_nat (fun (X:set_nat)=> ((member_set_nat X) A2)))) A2)) of role axiom named fact_55_Collect__mem__eq
% 0.76/0.94 A new axiom: (forall (A2:set_set_nat), (((eq set_set_nat) (collect_set_nat (fun (X:set_nat)=> ((member_set_nat X) A2)))) A2))
% 0.76/0.94 FOF formula (forall (A2:set_nat), (((eq set_nat) (collect_nat (fun (X:nat)=> ((member_nat X) A2)))) A2)) of role axiom named fact_56_Collect__mem__eq
% 0.76/0.94 A new axiom: (forall (A2:set_nat), (((eq set_nat) (collect_nat (fun (X:nat)=> ((member_nat X) A2)))) A2))
% 0.76/0.94 FOF formula (forall (A2:set_int), (((eq set_int) (collect_int (fun (X:int)=> ((member_int X) A2)))) A2)) of role axiom named fact_57_Collect__mem__eq
% 0.76/0.94 A new axiom: (forall (A2:set_int), (((eq set_int) (collect_int (fun (X:int)=> ((member_int X) A2)))) A2))
% 0.76/0.94 FOF formula (forall (P:(product_prod_int_int->Prop)) (Q:(product_prod_int_int->Prop)), ((forall (X3:product_prod_int_int), (((eq Prop) (P X3)) (Q X3)))->(((eq set_Pr958786334691620121nt_int) (collec213857154873943460nt_int P)) (collec213857154873943460nt_int Q)))) of role axiom named fact_58_Collect__cong
% 0.76/0.94 A new axiom: (forall (P:(product_prod_int_int->Prop)) (Q:(product_prod_int_int->Prop)), ((forall (X3:product_prod_int_int), (((eq Prop) (P X3)) (Q X3)))->(((eq set_Pr958786334691620121nt_int) (collec213857154873943460nt_int P)) (collec213857154873943460nt_int Q))))
% 0.76/0.94 FOF formula (forall (P:(complex->Prop)) (Q:(complex->Prop)), ((forall (X3:complex), (((eq Prop) (P X3)) (Q X3)))->(((eq set_complex) (collect_complex P)) (collect_complex Q)))) of role axiom named fact_59_Collect__cong
% 0.76/0.94 A new axiom: (forall (P:(complex->Prop)) (Q:(complex->Prop)), ((forall (X3:complex), (((eq Prop) (P X3)) (Q X3)))->(((eq set_complex) (collect_complex P)) (collect_complex Q))))
% 0.76/0.94 FOF formula (forall (P:(set_nat->Prop)) (Q:(set_nat->Prop)), ((forall (X3:set_nat), (((eq Prop) (P X3)) (Q X3)))->(((eq set_set_nat) (collect_set_nat P)) (collect_set_nat Q)))) of role axiom named fact_60_Collect__cong
% 0.76/0.94 A new axiom: (forall (P:(set_nat->Prop)) (Q:(set_nat->Prop)), ((forall (X3:set_nat), (((eq Prop) (P X3)) (Q X3)))->(((eq set_set_nat) (collect_set_nat P)) (collect_set_nat Q))))
% 0.76/0.94 FOF formula (forall (P:(nat->Prop)) (Q:(nat->Prop)), ((forall (X3:nat), (((eq Prop) (P X3)) (Q X3)))->(((eq set_nat) (collect_nat P)) (collect_nat Q)))) of role axiom named fact_61_Collect__cong
% 0.76/0.94 A new axiom: (forall (P:(nat->Prop)) (Q:(nat->Prop)), ((forall (X3:nat), (((eq Prop) (P X3)) (Q X3)))->(((eq set_nat) (collect_nat P)) (collect_nat Q))))
% 0.76/0.94 FOF formula (forall (P:(int->Prop)) (Q:(int->Prop)), ((forall (X3:int), (((eq Prop) (P X3)) (Q X3)))->(((eq set_int) (collect_int P)) (collect_int Q)))) of role axiom named fact_62_Collect__cong
% 0.76/0.94 A new axiom: (forall (P:(int->Prop)) (Q:(int->Prop)), ((forall (X3:int), (((eq Prop) (P X3)) (Q X3)))->(((eq set_int) (collect_int P)) (collect_int Q))))
% 0.76/0.94 FOF formula (forall (_TPTP_I:nat) (J:nat) (K:nat) (L:nat), (((ord_less_eq_nat _TPTP_I) J)->(((ord_less_eq_nat K) L)->((ord_less_eq_nat ((plus_plus_nat _TPTP_I) K)) ((plus_plus_nat J) L))))) of role axiom named fact_63_add__le__mono
% 0.76/0.94 A new axiom: (forall (_TPTP_I:nat) (J:nat) (K:nat) (L:nat), (((ord_less_eq_nat _TPTP_I) J)->(((ord_less_eq_nat K) L)->((ord_less_eq_nat ((plus_plus_nat _TPTP_I) K)) ((plus_plus_nat J) L)))))
% 0.76/0.94 FOF formula (forall (K:nat) (L:nat), (((ord_less_eq_nat K) L)->((ex nat) (fun (N3:nat)=> (((eq nat) L) ((plus_plus_nat K) N3)))))) of role axiom named fact_64_le__Suc__ex
% 0.76/0.94 A new axiom: (forall (K:nat) (L:nat), (((ord_less_eq_nat K) L)->((ex nat) (fun (N3:nat)=> (((eq nat) L) ((plus_plus_nat K) N3))))))
% 0.76/0.94 FOF formula (forall (M:nat) (K:nat) (N:nat), (((ord_less_eq_nat ((plus_plus_nat M) K)) N)->((ord_less_eq_nat K) N))) of role axiom named fact_65_add__leD2
% 0.76/0.94 A new axiom: (forall (M:nat) (K:nat) (N:nat), (((ord_less_eq_nat ((plus_plus_nat M) K)) N)->((ord_less_eq_nat K) N)))
% 0.76/0.94 FOF formula (forall (M:nat) (K:nat) (N:nat), (((ord_less_eq_nat ((plus_plus_nat M) K)) N)->((ord_less_eq_nat M) N))) of role axiom named fact_66_add__leD1
% 0.76/0.94 A new axiom: (forall (M:nat) (K:nat) (N:nat), (((ord_less_eq_nat ((plus_plus_nat M) K)) N)->((ord_less_eq_nat M) N)))
% 0.76/0.94 FOF formula (forall (N:nat) (M:nat), ((ord_less_eq_nat N) ((plus_plus_nat M) N))) of role axiom named fact_67_le__add2
% 0.76/0.95 A new axiom: (forall (N:nat) (M:nat), ((ord_less_eq_nat N) ((plus_plus_nat M) N)))
% 0.76/0.95 FOF formula (forall (N:nat) (M:nat), ((ord_less_eq_nat N) ((plus_plus_nat N) M))) of role axiom named fact_68_le__add1
% 0.76/0.95 A new axiom: (forall (N:nat) (M:nat), ((ord_less_eq_nat N) ((plus_plus_nat N) M)))
% 0.76/0.95 FOF formula (forall (M:nat) (K:nat) (N:nat), (((ord_less_eq_nat ((plus_plus_nat M) K)) N)->((((ord_less_eq_nat M) N)->(((ord_less_eq_nat K) N)->False))->False))) of role axiom named fact_69_add__leE
% 0.76/0.95 A new axiom: (forall (M:nat) (K:nat) (N:nat), (((ord_less_eq_nat ((plus_plus_nat M) K)) N)->((((ord_less_eq_nat M) N)->(((ord_less_eq_nat K) N)->False))->False)))
% 0.76/0.95 FOF formula (forall (M:nat) (N:nat), ((ord_less_eq_nat ((divide_divide_nat M) N)) M)) of role axiom named fact_70_div__le__dividend
% 0.76/0.95 A new axiom: (forall (M:nat) (N:nat), ((ord_less_eq_nat ((divide_divide_nat M) N)) M))
% 0.76/0.95 FOF formula (forall (M:nat) (N:nat) (K:nat), (((ord_less_eq_nat M) N)->((ord_less_eq_nat ((divide_divide_nat M) K)) ((divide_divide_nat N) K)))) of role axiom named fact_71_div__le__mono
% 0.76/0.95 A new axiom: (forall (M:nat) (N:nat) (K:nat), (((ord_less_eq_nat M) N)->((ord_less_eq_nat ((divide_divide_nat M) K)) ((divide_divide_nat N) K))))
% 0.76/0.95 FOF formula (forall (N:num), (((eq nat) ((divide_divide_nat (numeral_numeral_nat (bit0 N))) (numeral_numeral_nat (bit0 one)))) (numeral_numeral_nat N))) of role axiom named fact_72_numeral__Bit0__div__2
% 0.76/0.95 A new axiom: (forall (N:num), (((eq nat) ((divide_divide_nat (numeral_numeral_nat (bit0 N))) (numeral_numeral_nat (bit0 one)))) (numeral_numeral_nat N)))
% 0.76/0.95 FOF formula (forall (N:num), (((eq int) ((divide_divide_int (numeral_numeral_int (bit0 N))) (numeral_numeral_int (bit0 one)))) (numeral_numeral_int N))) of role axiom named fact_73_numeral__Bit0__div__2
% 0.76/0.95 A new axiom: (forall (N:num), (((eq int) ((divide_divide_int (numeral_numeral_int (bit0 N))) (numeral_numeral_int (bit0 one)))) (numeral_numeral_int N)))
% 0.76/0.95 FOF formula (((eq option_nat) (vEBT_vebt_maxt ((vEBT_vebt_delete summary) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))))) (some_nat a)) of role axiom named fact_74_Some
% 0.76/0.95 A new axiom: (((eq option_nat) (vEBT_vebt_maxt ((vEBT_vebt_delete summary) ((vEBT_VEBT_high xa) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one))))))) (some_nat a))
% 0.76/0.95 FOF formula (((eq complex) ((plus_plus_complex one_one_complex) one_one_complex)) (numera6690914467698888265omplex (bit0 one))) of role axiom named fact_75_one__add__one
% 0.76/0.95 A new axiom: (((eq complex) ((plus_plus_complex one_one_complex) one_one_complex)) (numera6690914467698888265omplex (bit0 one)))
% 0.76/0.95 FOF formula (((eq real) ((plus_plus_real one_one_real) one_one_real)) (numeral_numeral_real (bit0 one))) of role axiom named fact_76_one__add__one
% 0.76/0.95 A new axiom: (((eq real) ((plus_plus_real one_one_real) one_one_real)) (numeral_numeral_real (bit0 one)))
% 0.76/0.95 FOF formula (((eq rat) ((plus_plus_rat one_one_rat) one_one_rat)) (numeral_numeral_rat (bit0 one))) of role axiom named fact_77_one__add__one
% 0.76/0.95 A new axiom: (((eq rat) ((plus_plus_rat one_one_rat) one_one_rat)) (numeral_numeral_rat (bit0 one)))
% 0.76/0.95 FOF formula (((eq nat) ((plus_plus_nat one_one_nat) one_one_nat)) (numeral_numeral_nat (bit0 one))) of role axiom named fact_78_one__add__one
% 0.76/0.95 A new axiom: (((eq nat) ((plus_plus_nat one_one_nat) one_one_nat)) (numeral_numeral_nat (bit0 one)))
% 0.76/0.95 FOF formula (((eq int) ((plus_plus_int one_one_int) one_one_int)) (numeral_numeral_int (bit0 one))) of role axiom named fact_79_one__add__one
% 0.76/0.95 A new axiom: (((eq int) ((plus_plus_int one_one_int) one_one_int)) (numeral_numeral_int (bit0 one)))
% 0.76/0.95 FOF formula (forall (N:num), (((eq complex) ((plus_plus_complex one_one_complex) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((plus_plus_num one) N)))) of role axiom named fact_80_one__plus__numeral
% 0.76/0.95 A new axiom: (forall (N:num), (((eq complex) ((plus_plus_complex one_one_complex) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((plus_plus_num one) N))))
% 0.76/0.95 FOF formula (forall (N:num), (((eq real) ((plus_plus_real one_one_real) (numeral_numeral_real N))) (numeral_numeral_real ((plus_plus_num one) N)))) of role axiom named fact_81_one__plus__numeral
% 0.76/0.96 A new axiom: (forall (N:num), (((eq real) ((plus_plus_real one_one_real) (numeral_numeral_real N))) (numeral_numeral_real ((plus_plus_num one) N))))
% 0.76/0.96 FOF formula (forall (N:num), (((eq rat) ((plus_plus_rat one_one_rat) (numeral_numeral_rat N))) (numeral_numeral_rat ((plus_plus_num one) N)))) of role axiom named fact_82_one__plus__numeral
% 0.76/0.96 A new axiom: (forall (N:num), (((eq rat) ((plus_plus_rat one_one_rat) (numeral_numeral_rat N))) (numeral_numeral_rat ((plus_plus_num one) N))))
% 0.76/0.96 FOF formula (forall (N:num), (((eq nat) ((plus_plus_nat one_one_nat) (numeral_numeral_nat N))) (numeral_numeral_nat ((plus_plus_num one) N)))) of role axiom named fact_83_one__plus__numeral
% 0.76/0.96 A new axiom: (forall (N:num), (((eq nat) ((plus_plus_nat one_one_nat) (numeral_numeral_nat N))) (numeral_numeral_nat ((plus_plus_num one) N))))
% 0.76/0.96 FOF formula (forall (N:num), (((eq int) ((plus_plus_int one_one_int) (numeral_numeral_int N))) (numeral_numeral_int ((plus_plus_num one) N)))) of role axiom named fact_84_one__plus__numeral
% 0.76/0.96 A new axiom: (forall (N:num), (((eq int) ((plus_plus_int one_one_int) (numeral_numeral_int N))) (numeral_numeral_int ((plus_plus_num one) N))))
% 0.76/0.96 FOF formula (forall (N:num), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex N)) one_one_complex)) (numera6690914467698888265omplex ((plus_plus_num N) one)))) of role axiom named fact_85_numeral__plus__one
% 0.76/0.96 A new axiom: (forall (N:num), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex N)) one_one_complex)) (numera6690914467698888265omplex ((plus_plus_num N) one))))
% 0.76/0.96 FOF formula (forall (N:num), (((eq real) ((plus_plus_real (numeral_numeral_real N)) one_one_real)) (numeral_numeral_real ((plus_plus_num N) one)))) of role axiom named fact_86_numeral__plus__one
% 0.76/0.96 A new axiom: (forall (N:num), (((eq real) ((plus_plus_real (numeral_numeral_real N)) one_one_real)) (numeral_numeral_real ((plus_plus_num N) one))))
% 0.76/0.96 FOF formula (forall (N:num), (((eq rat) ((plus_plus_rat (numeral_numeral_rat N)) one_one_rat)) (numeral_numeral_rat ((plus_plus_num N) one)))) of role axiom named fact_87_numeral__plus__one
% 0.76/0.96 A new axiom: (forall (N:num), (((eq rat) ((plus_plus_rat (numeral_numeral_rat N)) one_one_rat)) (numeral_numeral_rat ((plus_plus_num N) one))))
% 0.76/0.96 FOF formula (forall (N:num), (((eq nat) ((plus_plus_nat (numeral_numeral_nat N)) one_one_nat)) (numeral_numeral_nat ((plus_plus_num N) one)))) of role axiom named fact_88_numeral__plus__one
% 0.76/0.96 A new axiom: (forall (N:num), (((eq nat) ((plus_plus_nat (numeral_numeral_nat N)) one_one_nat)) (numeral_numeral_nat ((plus_plus_num N) one))))
% 0.76/0.96 FOF formula (forall (N:num), (((eq int) ((plus_plus_int (numeral_numeral_int N)) one_one_int)) (numeral_numeral_int ((plus_plus_num N) one)))) of role axiom named fact_89_numeral__plus__one
% 0.76/0.96 A new axiom: (forall (N:num), (((eq int) ((plus_plus_int (numeral_numeral_int N)) one_one_int)) (numeral_numeral_int ((plus_plus_num N) one))))
% 0.76/0.96 FOF formula (forall (N:num), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real N)) one_one_real)) ((ord_less_eq_num N) one))) of role axiom named fact_90_numeral__le__one__iff
% 0.76/0.96 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real N)) one_one_real)) ((ord_less_eq_num N) one)))
% 0.76/0.96 FOF formula (forall (N:num), (((eq Prop) ((ord_less_eq_rat (numeral_numeral_rat N)) one_one_rat)) ((ord_less_eq_num N) one))) of role axiom named fact_91_numeral__le__one__iff
% 0.76/0.96 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_eq_rat (numeral_numeral_rat N)) one_one_rat)) ((ord_less_eq_num N) one)))
% 0.76/0.96 FOF formula (forall (N:num), (((eq Prop) ((ord_less_eq_nat (numeral_numeral_nat N)) one_one_nat)) ((ord_less_eq_num N) one))) of role axiom named fact_92_numeral__le__one__iff
% 0.76/0.96 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_eq_nat (numeral_numeral_nat N)) one_one_nat)) ((ord_less_eq_num N) one)))
% 0.76/0.96 FOF formula (forall (N:num), (((eq Prop) ((ord_less_eq_int (numeral_numeral_int N)) one_one_int)) ((ord_less_eq_num N) one))) of role axiom named fact_93_numeral__le__one__iff
% 0.76/0.97 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_eq_int (numeral_numeral_int N)) one_one_int)) ((ord_less_eq_num N) one)))
% 0.76/0.97 FOF formula (forall (N:num), (((eq Prop) (((eq complex) one_one_complex) (numera6690914467698888265omplex N))) (((eq num) one) N))) of role axiom named fact_94_one__eq__numeral__iff
% 0.76/0.97 A new axiom: (forall (N:num), (((eq Prop) (((eq complex) one_one_complex) (numera6690914467698888265omplex N))) (((eq num) one) N)))
% 0.76/0.97 FOF formula (forall (N:num), (((eq Prop) (((eq real) one_one_real) (numeral_numeral_real N))) (((eq num) one) N))) of role axiom named fact_95_one__eq__numeral__iff
% 0.76/0.97 A new axiom: (forall (N:num), (((eq Prop) (((eq real) one_one_real) (numeral_numeral_real N))) (((eq num) one) N)))
% 0.76/0.97 FOF formula (forall (N:num), (((eq Prop) (((eq rat) one_one_rat) (numeral_numeral_rat N))) (((eq num) one) N))) of role axiom named fact_96_one__eq__numeral__iff
% 0.76/0.97 A new axiom: (forall (N:num), (((eq Prop) (((eq rat) one_one_rat) (numeral_numeral_rat N))) (((eq num) one) N)))
% 0.76/0.97 FOF formula (forall (N:num), (((eq Prop) (((eq nat) one_one_nat) (numeral_numeral_nat N))) (((eq num) one) N))) of role axiom named fact_97_one__eq__numeral__iff
% 0.76/0.97 A new axiom: (forall (N:num), (((eq Prop) (((eq nat) one_one_nat) (numeral_numeral_nat N))) (((eq num) one) N)))
% 0.76/0.97 FOF formula (forall (N:num), (((eq Prop) (((eq int) one_one_int) (numeral_numeral_int N))) (((eq num) one) N))) of role axiom named fact_98_one__eq__numeral__iff
% 0.76/0.97 A new axiom: (forall (N:num), (((eq Prop) (((eq int) one_one_int) (numeral_numeral_int N))) (((eq num) one) N)))
% 0.76/0.97 FOF formula (forall (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex N)) one_one_complex)) (((eq num) N) one))) of role axiom named fact_99_numeral__eq__one__iff
% 0.76/0.97 A new axiom: (forall (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex N)) one_one_complex)) (((eq num) N) one)))
% 0.76/0.97 FOF formula (forall (N:num), (((eq Prop) (((eq real) (numeral_numeral_real N)) one_one_real)) (((eq num) N) one))) of role axiom named fact_100_numeral__eq__one__iff
% 0.76/0.97 A new axiom: (forall (N:num), (((eq Prop) (((eq real) (numeral_numeral_real N)) one_one_real)) (((eq num) N) one)))
% 0.76/0.97 FOF formula (forall (N:num), (((eq Prop) (((eq rat) (numeral_numeral_rat N)) one_one_rat)) (((eq num) N) one))) of role axiom named fact_101_numeral__eq__one__iff
% 0.76/0.97 A new axiom: (forall (N:num), (((eq Prop) (((eq rat) (numeral_numeral_rat N)) one_one_rat)) (((eq num) N) one)))
% 0.76/0.97 FOF formula (forall (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat N)) one_one_nat)) (((eq num) N) one))) of role axiom named fact_102_numeral__eq__one__iff
% 0.76/0.97 A new axiom: (forall (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat N)) one_one_nat)) (((eq num) N) one)))
% 0.76/0.97 FOF formula (forall (N:num), (((eq Prop) (((eq int) (numeral_numeral_int N)) one_one_int)) (((eq num) N) one))) of role axiom named fact_103_numeral__eq__one__iff
% 0.76/0.97 A new axiom: (forall (N:num), (((eq Prop) (((eq int) (numeral_numeral_int N)) one_one_int)) (((eq num) N) one)))
% 0.76/0.97 FOF formula (forall (Deg:nat) (Mi:nat) (Ma:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT) (X2:nat), (((ord_less_eq_nat one_one_nat) Deg)->(((vEBT_V8194947554948674370ptions ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary)) X2)->((or ((or ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT TreeList) ((vEBT_VEBT_high X2) ((divide_divide_nat Deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_VEBT_low X2) ((divide_divide_nat Deg) (numeral_numeral_nat (bit0 one)))))) (((eq nat) X2) Mi))) (((eq nat) X2) Ma))))) of role axiom named fact_104_both__member__options__from__complete__tree__to__child
% 0.76/0.97 A new axiom: (forall (Deg:nat) (Mi:nat) (Ma:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT) (X2:nat), (((ord_less_eq_nat one_one_nat) Deg)->(((vEBT_V8194947554948674370ptions ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary)) X2)->((or ((or ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT TreeList) ((vEBT_VEBT_high X2) ((divide_divide_nat Deg) (numeral_numeral_nat (bit0 one)))))) ((vEBT_VEBT_low X2) ((divide_divide_nat Deg) (numeral_numeral_nat (bit0 one)))))) (((eq nat) X2) Mi))) (((eq nat) X2) Ma)))))
% 0.76/0.97 FOF formula (forall (X2:nat) (Mi:nat) (Ma:nat) (Deg:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT), (((or ((ord_less_nat X2) Mi)) ((ord_less_nat Ma) X2))->(((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) Deg)->(((eq vEBT_VEBT) ((vEBT_vebt_delete ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary)) X2)) ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary))))) of role axiom named fact_105_delt__out__of__range
% 0.76/0.97 A new axiom: (forall (X2:nat) (Mi:nat) (Ma:nat) (Deg:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT), (((or ((ord_less_nat X2) Mi)) ((ord_less_nat Ma) X2))->(((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) Deg)->(((eq vEBT_VEBT) ((vEBT_vebt_delete ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary)) X2)) ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary)))))
% 0.76/0.97 FOF formula (forall (X2:nat) (Mi:nat) (Ma:nat) (Deg:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT), (((and (((eq nat) X2) Mi)) (((eq nat) X2) Ma))->(((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) Deg)->(((eq vEBT_VEBT) ((vEBT_vebt_delete ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary)) X2)) ((((vEBT_Node none_P5556105721700978146at_nat) Deg) TreeList) Summary))))) of role axiom named fact_106_del__single__cont
% 0.76/0.97 A new axiom: (forall (X2:nat) (Mi:nat) (Ma:nat) (Deg:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT), (((and (((eq nat) X2) Mi)) (((eq nat) X2) Ma))->(((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) Deg)->(((eq vEBT_VEBT) ((vEBT_vebt_delete ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary)) X2)) ((((vEBT_Node none_P5556105721700978146at_nat) Deg) TreeList) Summary)))))
% 0.76/0.97 FOF formula (forall (Mi:nat) (Ma:nat) (Deg:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT), (((vEBT_invar_vebt ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary)) Deg)->((not (((eq nat) Mi) Ma))->(((eq nat) (the_nat (vEBT_vebt_maxt Summary))) ((vEBT_VEBT_high Ma) ((divide_divide_nat Deg) (numeral_numeral_nat (bit0 one)))))))) of role axiom named fact_107_summaxma
% 0.76/0.97 A new axiom: (forall (Mi:nat) (Ma:nat) (Deg:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT), (((vEBT_invar_vebt ((((vEBT_Node (some_P7363390416028606310at_nat ((product_Pair_nat_nat Mi) Ma))) Deg) TreeList) Summary)) Deg)->((not (((eq nat) Mi) Ma))->(((eq nat) (the_nat (vEBT_vebt_maxt Summary))) ((vEBT_VEBT_high Ma) ((divide_divide_nat Deg) (numeral_numeral_nat (bit0 one))))))))
% 0.76/0.97 FOF formula (forall (Xs2:list_int) (_TPTP_I:nat), (((eq list_int) (((list_update_int Xs2) _TPTP_I) ((nth_int Xs2) _TPTP_I))) Xs2)) of role axiom named fact_108_list__update__id
% 0.76/0.97 A new axiom: (forall (Xs2:list_int) (_TPTP_I:nat), (((eq list_int) (((list_update_int Xs2) _TPTP_I) ((nth_int Xs2) _TPTP_I))) Xs2))
% 0.76/0.97 FOF formula (forall (Xs2:list_VEBT_VEBT) (_TPTP_I:nat), (((eq list_VEBT_VEBT) (((list_u1324408373059187874T_VEBT Xs2) _TPTP_I) ((nth_VEBT_VEBT Xs2) _TPTP_I))) Xs2)) of role axiom named fact_109_list__update__id
% 0.76/0.97 A new axiom: (forall (Xs2:list_VEBT_VEBT) (_TPTP_I:nat), (((eq list_VEBT_VEBT) (((list_u1324408373059187874T_VEBT Xs2) _TPTP_I) ((nth_VEBT_VEBT Xs2) _TPTP_I))) Xs2))
% 0.76/0.97 FOF formula (forall (Info:option4927543243414619207at_nat) (Deg:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT) (N:nat), (((vEBT_invar_vebt ((((vEBT_Node Info) Deg) TreeList) Summary)) N)->(((eq nat) Deg) N))) of role axiom named fact_110_deg__deg__n
% 0.76/0.97 A new axiom: (forall (Info:option4927543243414619207at_nat) (Deg:nat) (TreeList:list_VEBT_VEBT) (Summary:vEBT_VEBT) (N:nat), (((vEBT_invar_vebt ((((vEBT_Node Info) Deg) TreeList) Summary)) N)->(((eq nat) Deg) N)))
% 0.76/0.97 FOF formula (forall (T:vEBT_VEBT) (N:nat) (X2:nat), (((vEBT_invar_vebt T) N)->((vEBT_invar_vebt ((vEBT_vebt_delete T) X2)) N))) of role axiom named fact_111_delete__pres__valid
% 0.76/0.98 A new axiom: (forall (T:vEBT_VEBT) (N:nat) (X2:nat), (((vEBT_invar_vebt T) N)->((vEBT_invar_vebt ((vEBT_vebt_delete T) X2)) N)))
% 0.76/0.98 FOF formula (forall (T:vEBT_VEBT) (N:nat) (X2:nat) (Y4:nat), (((vEBT_invar_vebt T) N)->(((eq Prop) ((vEBT_V8194947554948674370ptions ((vEBT_vebt_delete T) X2)) Y4)) ((and (not (((eq nat) X2) Y4))) ((vEBT_V8194947554948674370ptions T) Y4))))) of role axiom named fact_112_dele__bmo__cont__corr
% 0.76/0.98 A new axiom: (forall (T:vEBT_VEBT) (N:nat) (X2:nat) (Y4:nat), (((vEBT_invar_vebt T) N)->(((eq Prop) ((vEBT_V8194947554948674370ptions ((vEBT_vebt_delete T) X2)) Y4)) ((and (not (((eq nat) X2) Y4))) ((vEBT_V8194947554948674370ptions T) Y4)))))
% 0.76/0.98 FOF formula (forall (T:vEBT_VEBT) (X2:nat), ((((eq option_nat) (vEBT_vebt_maxt T)) (some_nat X2))->((vEBT_V8194947554948674370ptions T) X2))) of role axiom named fact_113_maxbmo
% 0.76/0.98 A new axiom: (forall (T:vEBT_VEBT) (X2:nat), ((((eq option_nat) (vEBT_vebt_maxt T)) (some_nat X2))->((vEBT_V8194947554948674370ptions T) X2)))
% 0.76/0.98 FOF formula ((vEBT_invar_vebt summary) m) of role axiom named fact_114__C5_Ohyps_C_I1_J
% 0.76/0.98 A new axiom: ((vEBT_invar_vebt summary) m)
% 0.76/0.98 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (((eq num) M) N))) of role axiom named fact_115_numeral__eq__iff
% 0.76/0.98 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (((eq num) M) N)))
% 0.76/0.98 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq real) (numeral_numeral_real M)) (numeral_numeral_real N))) (((eq num) M) N))) of role axiom named fact_116_numeral__eq__iff
% 0.76/0.98 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq real) (numeral_numeral_real M)) (numeral_numeral_real N))) (((eq num) M) N)))
% 0.76/0.98 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq rat) (numeral_numeral_rat M)) (numeral_numeral_rat N))) (((eq num) M) N))) of role axiom named fact_117_numeral__eq__iff
% 0.76/0.98 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq rat) (numeral_numeral_rat M)) (numeral_numeral_rat N))) (((eq num) M) N)))
% 0.76/0.98 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat M)) (numeral_numeral_nat N))) (((eq num) M) N))) of role axiom named fact_118_numeral__eq__iff
% 0.76/0.98 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat M)) (numeral_numeral_nat N))) (((eq num) M) N)))
% 0.76/0.98 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq int) (numeral_numeral_int M)) (numeral_numeral_int N))) (((eq num) M) N))) of role axiom named fact_119_numeral__eq__iff
% 0.76/0.98 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq int) (numeral_numeral_int M)) (numeral_numeral_int N))) (((eq num) M) N)))
% 0.76/0.98 FOF formula (forall (Xs2:list_VEBT_VEBT) (_TPTP_I:nat) (X2:vEBT_VEBT) (Y4:vEBT_VEBT), (((eq list_VEBT_VEBT) (((list_u1324408373059187874T_VEBT (((list_u1324408373059187874T_VEBT Xs2) _TPTP_I) X2)) _TPTP_I) Y4)) (((list_u1324408373059187874T_VEBT Xs2) _TPTP_I) Y4))) of role axiom named fact_120_list__update__overwrite
% 0.76/0.98 A new axiom: (forall (Xs2:list_VEBT_VEBT) (_TPTP_I:nat) (X2:vEBT_VEBT) (Y4:vEBT_VEBT), (((eq list_VEBT_VEBT) (((list_u1324408373059187874T_VEBT (((list_u1324408373059187874T_VEBT Xs2) _TPTP_I) X2)) _TPTP_I) Y4)) (((list_u1324408373059187874T_VEBT Xs2) _TPTP_I) Y4)))
% 0.76/0.98 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_real (numeral_numeral_real M)) (numeral_numeral_real N))) ((ord_less_num M) N))) of role axiom named fact_121_numeral__less__iff
% 0.76/0.98 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_real (numeral_numeral_real M)) (numeral_numeral_real N))) ((ord_less_num M) N)))
% 0.76/0.98 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) ((ord_less_num M) N))) of role axiom named fact_122_numeral__less__iff
% 0.76/0.98 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) ((ord_less_num M) N)))
% 0.76/0.98 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) ((ord_less_num M) N))) of role axiom named fact_123_numeral__less__iff
% 0.76/0.99 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) ((ord_less_num M) N)))
% 0.76/0.99 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_int (numeral_numeral_int M)) (numeral_numeral_int N))) ((ord_less_num M) N))) of role axiom named fact_124_numeral__less__iff
% 0.76/0.99 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_int (numeral_numeral_int M)) (numeral_numeral_int N))) ((ord_less_num M) N)))
% 0.76/0.99 FOF formula (forall (K:nat) (M:nat) (N:nat), (((eq Prop) ((ord_less_nat ((plus_plus_nat K) M)) ((plus_plus_nat K) N))) ((ord_less_nat M) N))) of role axiom named fact_125_nat__add__left__cancel__less
% 0.76/0.99 A new axiom: (forall (K:nat) (M:nat) (N:nat), (((eq Prop) ((ord_less_nat ((plus_plus_nat K) M)) ((plus_plus_nat K) N))) ((ord_less_nat M) N)))
% 0.76/0.99 FOF formula (forall (_TPTP_I:nat) (J:nat) (Xs2:list_int) (X2:int), ((not (((eq nat) _TPTP_I) J))->(((eq int) ((nth_int (((list_update_int Xs2) _TPTP_I) X2)) J)) ((nth_int Xs2) J)))) of role axiom named fact_126_nth__list__update__neq
% 0.76/0.99 A new axiom: (forall (_TPTP_I:nat) (J:nat) (Xs2:list_int) (X2:int), ((not (((eq nat) _TPTP_I) J))->(((eq int) ((nth_int (((list_update_int Xs2) _TPTP_I) X2)) J)) ((nth_int Xs2) J))))
% 0.76/0.99 FOF formula (forall (_TPTP_I:nat) (J:nat) (Xs2:list_VEBT_VEBT) (X2:vEBT_VEBT), ((not (((eq nat) _TPTP_I) J))->(((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT Xs2) _TPTP_I) X2)) J)) ((nth_VEBT_VEBT Xs2) J)))) of role axiom named fact_127_nth__list__update__neq
% 0.76/0.99 A new axiom: (forall (_TPTP_I:nat) (J:nat) (Xs2:list_VEBT_VEBT) (X2:vEBT_VEBT), ((not (((eq nat) _TPTP_I) J))->(((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT Xs2) _TPTP_I) X2)) J)) ((nth_VEBT_VEBT Xs2) J))))
% 0.76/0.99 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_num (bit0 M)) (bit0 N))) ((ord_less_eq_num M) N))) of role axiom named fact_128_semiring__norm_I71_J
% 0.76/0.99 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_num (bit0 M)) (bit0 N))) ((ord_less_eq_num M) N)))
% 0.76/0.99 FOF formula (forall (N:num), ((ord_less_eq_num one) N)) of role axiom named fact_129_semiring__norm_I68_J
% 0.76/0.99 A new axiom: (forall (N:num), ((ord_less_eq_num one) N))
% 0.76/0.99 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_num (bit1 M)) (bit1 N))) ((ord_less_eq_num M) N))) of role axiom named fact_130_semiring__norm_I73_J
% 0.76/0.99 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_num (bit1 M)) (bit1 N))) ((ord_less_eq_num M) N)))
% 0.76/0.99 FOF formula (forall (M:num) (N:num), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((plus_plus_num M) N)))) of role axiom named fact_131_numeral__plus__numeral
% 0.76/0.99 A new axiom: (forall (M:num) (N:num), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((plus_plus_num M) N))))
% 0.76/0.99 FOF formula (forall (M:num) (N:num), (((eq real) ((plus_plus_real (numeral_numeral_real M)) (numeral_numeral_real N))) (numeral_numeral_real ((plus_plus_num M) N)))) of role axiom named fact_132_numeral__plus__numeral
% 0.76/0.99 A new axiom: (forall (M:num) (N:num), (((eq real) ((plus_plus_real (numeral_numeral_real M)) (numeral_numeral_real N))) (numeral_numeral_real ((plus_plus_num M) N))))
% 0.76/0.99 FOF formula (forall (M:num) (N:num), (((eq rat) ((plus_plus_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) (numeral_numeral_rat ((plus_plus_num M) N)))) of role axiom named fact_133_numeral__plus__numeral
% 0.76/0.99 A new axiom: (forall (M:num) (N:num), (((eq rat) ((plus_plus_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) (numeral_numeral_rat ((plus_plus_num M) N))))
% 0.76/0.99 FOF formula (forall (M:num) (N:num), (((eq nat) ((plus_plus_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) (numeral_numeral_nat ((plus_plus_num M) N)))) of role axiom named fact_134_numeral__plus__numeral
% 0.76/0.99 A new axiom: (forall (M:num) (N:num), (((eq nat) ((plus_plus_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) (numeral_numeral_nat ((plus_plus_num M) N))))
% 0.76/1.00 FOF formula (forall (M:num) (N:num), (((eq int) ((plus_plus_int (numeral_numeral_int M)) (numeral_numeral_int N))) (numeral_numeral_int ((plus_plus_num M) N)))) of role axiom named fact_135_numeral__plus__numeral
% 0.76/1.00 A new axiom: (forall (M:num) (N:num), (((eq int) ((plus_plus_int (numeral_numeral_int M)) (numeral_numeral_int N))) (numeral_numeral_int ((plus_plus_num M) N))))
% 0.76/1.00 FOF formula (forall (V:num) (W:num) (Z:complex), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex V)) ((plus_plus_complex (numera6690914467698888265omplex W)) Z))) ((plus_plus_complex (numera6690914467698888265omplex ((plus_plus_num V) W))) Z))) of role axiom named fact_136_add__numeral__left
% 0.76/1.00 A new axiom: (forall (V:num) (W:num) (Z:complex), (((eq complex) ((plus_plus_complex (numera6690914467698888265omplex V)) ((plus_plus_complex (numera6690914467698888265omplex W)) Z))) ((plus_plus_complex (numera6690914467698888265omplex ((plus_plus_num V) W))) Z)))
% 0.76/1.00 FOF formula (forall (V:num) (W:num) (Z:real), (((eq real) ((plus_plus_real (numeral_numeral_real V)) ((plus_plus_real (numeral_numeral_real W)) Z))) ((plus_plus_real (numeral_numeral_real ((plus_plus_num V) W))) Z))) of role axiom named fact_137_add__numeral__left
% 0.76/1.00 A new axiom: (forall (V:num) (W:num) (Z:real), (((eq real) ((plus_plus_real (numeral_numeral_real V)) ((plus_plus_real (numeral_numeral_real W)) Z))) ((plus_plus_real (numeral_numeral_real ((plus_plus_num V) W))) Z)))
% 0.76/1.00 FOF formula (forall (V:num) (W:num) (Z:rat), (((eq rat) ((plus_plus_rat (numeral_numeral_rat V)) ((plus_plus_rat (numeral_numeral_rat W)) Z))) ((plus_plus_rat (numeral_numeral_rat ((plus_plus_num V) W))) Z))) of role axiom named fact_138_add__numeral__left
% 0.76/1.00 A new axiom: (forall (V:num) (W:num) (Z:rat), (((eq rat) ((plus_plus_rat (numeral_numeral_rat V)) ((plus_plus_rat (numeral_numeral_rat W)) Z))) ((plus_plus_rat (numeral_numeral_rat ((plus_plus_num V) W))) Z)))
% 0.76/1.00 FOF formula (forall (V:num) (W:num) (Z:nat), (((eq nat) ((plus_plus_nat (numeral_numeral_nat V)) ((plus_plus_nat (numeral_numeral_nat W)) Z))) ((plus_plus_nat (numeral_numeral_nat ((plus_plus_num V) W))) Z))) of role axiom named fact_139_add__numeral__left
% 0.76/1.00 A new axiom: (forall (V:num) (W:num) (Z:nat), (((eq nat) ((plus_plus_nat (numeral_numeral_nat V)) ((plus_plus_nat (numeral_numeral_nat W)) Z))) ((plus_plus_nat (numeral_numeral_nat ((plus_plus_num V) W))) Z)))
% 0.76/1.00 FOF formula (forall (V:num) (W:num) (Z:int), (((eq int) ((plus_plus_int (numeral_numeral_int V)) ((plus_plus_int (numeral_numeral_int W)) Z))) ((plus_plus_int (numeral_numeral_int ((plus_plus_num V) W))) Z))) of role axiom named fact_140_add__numeral__left
% 0.76/1.00 A new axiom: (forall (V:num) (W:num) (Z:int), (((eq int) ((plus_plus_int (numeral_numeral_int V)) ((plus_plus_int (numeral_numeral_int W)) Z))) ((plus_plus_int (numeral_numeral_int ((plus_plus_num V) W))) Z)))
% 0.76/1.00 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real M)) (numeral_numeral_real N))) ((ord_less_eq_num M) N))) of role axiom named fact_141_numeral__le__iff
% 0.76/1.00 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real M)) (numeral_numeral_real N))) ((ord_less_eq_num M) N)))
% 0.76/1.00 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) ((ord_less_eq_num M) N))) of role axiom named fact_142_numeral__le__iff
% 0.76/1.00 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) ((ord_less_eq_num M) N)))
% 0.76/1.00 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) ((ord_less_eq_num M) N))) of role axiom named fact_143_numeral__le__iff
% 0.76/1.00 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) ((ord_less_eq_num M) N)))
% 0.76/1.00 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_int (numeral_numeral_int M)) (numeral_numeral_int N))) ((ord_less_eq_num M) N))) of role axiom named fact_144_numeral__le__iff
% 0.76/1.00 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_int (numeral_numeral_int M)) (numeral_numeral_int N))) ((ord_less_eq_num M) N)))
% 0.76/1.00 FOF formula (forall (M:num), (((ord_less_eq_num (bit0 M)) one)->False)) of role axiom named fact_145_semiring__norm_I69_J
% 0.76/1.00 A new axiom: (forall (M:num), (((ord_less_eq_num (bit0 M)) one)->False))
% 0.76/1.00 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_num (bit0 M)) (bit1 N))) ((ord_less_eq_num M) N))) of role axiom named fact_146_semiring__norm_I72_J
% 0.76/1.00 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_num (bit0 M)) (bit1 N))) ((ord_less_eq_num M) N)))
% 0.76/1.00 FOF formula (forall (M:num), (((ord_less_eq_num (bit1 M)) one)->False)) of role axiom named fact_147_semiring__norm_I70_J
% 0.76/1.00 A new axiom: (forall (M:num), (((ord_less_eq_num (bit1 M)) one)->False))
% 0.76/1.00 FOF formula (forall (N:num), (((eq Prop) ((ord_less_real one_one_real) (numeral_numeral_real N))) ((ord_less_num one) N))) of role axiom named fact_148_one__less__numeral__iff
% 0.76/1.00 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_real one_one_real) (numeral_numeral_real N))) ((ord_less_num one) N)))
% 0.76/1.00 FOF formula (forall (N:num), (((eq Prop) ((ord_less_rat one_one_rat) (numeral_numeral_rat N))) ((ord_less_num one) N))) of role axiom named fact_149_one__less__numeral__iff
% 0.76/1.00 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_rat one_one_rat) (numeral_numeral_rat N))) ((ord_less_num one) N)))
% 0.76/1.00 FOF formula (forall (N:num), (((eq Prop) ((ord_less_nat one_one_nat) (numeral_numeral_nat N))) ((ord_less_num one) N))) of role axiom named fact_150_one__less__numeral__iff
% 0.76/1.00 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_nat one_one_nat) (numeral_numeral_nat N))) ((ord_less_num one) N)))
% 0.76/1.00 FOF formula (forall (N:num), (((eq Prop) ((ord_less_int one_one_int) (numeral_numeral_int N))) ((ord_less_num one) N))) of role axiom named fact_151_one__less__numeral__iff
% 0.76/1.00 A new axiom: (forall (N:num), (((eq Prop) ((ord_less_int one_one_int) (numeral_numeral_int N))) ((ord_less_num one) N)))
% 0.76/1.00 FOF formula (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (X:nat) (Y:nat)=> ((vEBT_VEBT_lesseq (some_nat X)) (some_nat Y)))) of role axiom named fact_152_lesseq__shift
% 0.76/1.00 A new axiom: (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (X:nat) (Y:nat)=> ((vEBT_VEBT_lesseq (some_nat X)) (some_nat Y))))
% 0.76/1.00 <<<_VEBT] :
% 0.76/1.00 ( ( member_VEBT_VEBT @ X4 @ ( set_VEBT_VEBT2 @ treeList ) )
% 0.76/1.00 => ~ ?>>>!!!<<< [X_1: nat] : ( vEBT_V8194947554948674370ptions @ X4 @ X_1 ) ) ) ).
% 0.76/1.00
% 0.76/1.00 % "5.hyps"(6)
% 0.76/1.00 thf(fac>>>
% 0.76/1.00 statestack=[0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 22, 30, 36, 43, 50, 99, 120, 187, 113, 185, 229, 265, 285, 300, 221, 120, 187, 124]
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TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,178428), LexToken(LPAR,'(',1,178431), name, LexToken(COMMA,',',1,178457), formula_role, LexToken(COMMA,',',1,178463), LexToken(LPAR,'(',1,178469), thf_unitary_formula, thf_pair_connective, thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,178491), thf_variable_list, LexToken(RBRACKET,']',1,178505), LexToken(COLON,':',1,178507), LexToken(LPAR,'(',1,178517), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.76/1.01 Unexpected exception Syntax error at '?':QUESTION
% 0.76/1.01 Traceback (most recent call last):
% 0.76/1.01 File "CASC.py", line 79, in <module>
% 0.76/1.01 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.76/1.01 File "/export/starexec/sandbox/solver/bin/TPTP.py", line 38, in __init__
% 0.76/1.01 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.76/1.01 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 265, in parse
% 0.76/1.01 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.76/1.01 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.76/1.01 tok = self.errorfunc(errtoken)
% 0.76/1.01 File "/export/starexec/sandbox/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.76/1.01 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.76/1.01 TPTPparser.TPTPParsingError: Syntax error at '?':QUESTION
%------------------------------------------------------------------------------