TSTP Solution File: ITP281^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP281^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n027.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 17:47:58 EDT 2022
% Result : Unknown 1.37s 1.55s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP281^3 : TPTP v7.6.0. Released v7.6.0.
% 0.11/0.13 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 Computer : n027.cluster.edu
% 0.12/0.34 Model : x86_64 x86_64
% 0.12/0.34 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 RAMPerCPU : 8042.1875MB
% 0.12/0.34 OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Fri Mar 18 16:16:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.36 Python 2.7.5
% 0.47/0.63 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069a28>, <kernel.Type object at 0x2069cb0>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring produc8923325533196201883nteger:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069cf8>, <kernel.Type object at 0x20691b8>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring option4927543243414619207at_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x20699e0>, <kernel.Type object at 0x2069a28>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring produc9072475918466114483BT_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069b00>, <kernel.Type object at 0x2069cf8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_Pr958786334691620121nt_int:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069758>, <kernel.Type object at 0x20697e8>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring produc6271795597528267376eger_o:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x20699e0>, <kernel.Type object at 0x2069cf8>) of role type named ty_n_t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring product_prod_num_num:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069b00>, <kernel.Type object at 0x20690e0>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring product_prod_nat_num:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069758>, <kernel.Type object at 0x2069290>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring product_prod_nat_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x20699e0>, <kernel.Type object at 0x2069f38>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring product_prod_int_int:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069b00>, <kernel.Type object at 0x2069ef0>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_VEBT_VEBT:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069758>, <kernel.Type object at 0x2069d88>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_list_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x20699e0>, <kernel.Type object at 0x2069d40>) of role type named ty_n_t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_set_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069b00>, <kernel.Type object at 0x2069248>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_VEBT_VEBT:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069758>, <kernel.Type object at 0x2069200>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_set_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x20699e0>, <kernel.Type object at 0x2069ab8>) of role type named ty_n_t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_Code_integer:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069b00>, <kernel.Type object at 0x2069a70>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_complex:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069758>, <kernel.Type object at 0x2069488>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_complex:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x20699e0>, <kernel.Type object at 0x2069440>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring filter_real:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069b00>, <kernel.Type object at 0x2069368>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring option_num:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069758>, <kernel.Type object at 0x2069320>) of role type named ty_n_t__Option__Ooption_It__Nat__Onat_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring option_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x20699e0>, <kernel.Type object at 0x2069e18>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring filter_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069b00>, <kernel.Type object at 0x2069dd0>) of role type named ty_n_t__Filter__Ofilter_It__Int__Oint_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring filter_int:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069758>, <kernel.Type object at 0x2069638>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_char:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x20699e0>, <kernel.Type object at 0x20695f0>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_real:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069b90>, <kernel.Type object at 0x2069638>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_real:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069b00>, <kernel.Type object at 0x20698c0>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x20699e0>, <kernel.Type object at 0x2069f80>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_int:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069dd0>, <kernel.Type object at 0x2069518>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring vEBT_VEBT:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069b90>, <kernel.Type object at 0x20694d0>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069b00>, <kernel.Type object at 0x20693f8>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_int:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x20699e0>, <kernel.Type object at 0x20693b0>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring code_integer:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069dd0>, <kernel.Type object at 0x2069680>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring extended_enat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069b00>, <kernel.Type object at 0x20693f8>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring list_o:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069758>, <kernel.Type object at 0x2069950>) of role type named ty_n_t__Complex__Ocomplex
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring complex:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x20699e0>, <kernel.Type object at 0x20693b0>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_o:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069b00>, <kernel.Type object at 0x2069ea8>) of role type named ty_n_t__String__Ochar
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring char:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069758>, <kernel.Type object at 0x2069998>) of role type named ty_n_t__Real__Oreal
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring real:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x20699e0>, <kernel.Type object at 0x2069878>) of role type named ty_n_t__Rat__Orat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring rat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069b00>, <kernel.Type object at 0x2069998>) of role type named ty_n_t__Num__Onum
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring num:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069758>, <kernel.Type object at 0x2069878>) of role type named ty_n_t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring nat:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069830>, <kernel.Type object at 0x2069998>) of role type named ty_n_t__Int__Oint
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring int:Type
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2069830>, <kernel.DependentProduct object at 0x2044d88>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Rat__Orat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring archim2889992004027027881ng_rat:(rat->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2069b90>, <kernel.DependentProduct object at 0x2066518>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring archim7802044766580827645g_real:(real->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2069ea8>, <kernel.DependentProduct object at 0x20665a8>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring archim3151403230148437115or_rat:(rat->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2044a70>, <kernel.DependentProduct object at 0x2066878>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring archim6058952711729229775r_real:(real->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2069ea8>, <kernel.DependentProduct object at 0x2066d40>) of role type named sy_c_Archimedean__Field_Ofrac_001t__Rat__Orat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring archimedean_frac_rat:(rat->rat)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x20666c8>, <kernel.DependentProduct object at 0x2066908>) of role type named sy_c_Archimedean__Field_Ofrac_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring archim2898591450579166408c_real:(real->real)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2066878>, <kernel.DependentProduct object at 0x20661b8>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x20665a8>, <kernel.DependentProduct object at 0x2066c68>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring archim8280529875227126926d_real:(real->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x20666c8>, <kernel.DependentProduct object at 0x2066518>) of role type named sy_c_Binomial_Obinomial
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring binomial:(nat->(nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2066710>, <kernel.DependentProduct object at 0x2066878>) of role type named sy_c_Binomial_Ogbinomial_001t__Complex__Ocomplex
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring gbinomial_complex:(complex->(nat->complex))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x20667a0>, <kernel.DependentProduct object at 0x20666c8>) of role type named sy_c_Binomial_Ogbinomial_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring gbinomial_int:(int->(nat->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2066c68>, <kernel.DependentProduct object at 0x2066710>) of role type named sy_c_Binomial_Ogbinomial_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring gbinomial_nat:(nat->(nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x20661b8>, <kernel.DependentProduct object at 0x20667a0>) of role type named sy_c_Binomial_Ogbinomial_001t__Rat__Orat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring gbinomial_rat:(rat->(nat->rat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x20665a8>, <kernel.DependentProduct object at 0x2066c68>) of role type named sy_c_Binomial_Ogbinomial_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring gbinomial_real:(real->(nat->real))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2066d40>, <kernel.DependentProduct object at 0x20665a8>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2066518>, <kernel.DependentProduct object at 0x2066f38>) of role type named sy_c_Bit__Operations_Oand__not__num
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_and_not_num:(num->(num->option_num))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2066878>, <kernel.DependentProduct object at 0x2064518>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x20666c8>, <kernel.DependentProduct object at 0x20667a0>) of role type named sy_c_Bit__Operations_Oor__not__num__neg
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_or_not_num_neg:(num->(num->num))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2066518>, <kernel.DependentProduct object at 0x2064cf8>) of role type named sy_c_Bit__Operations_Oor__not__num__neg__rel
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_or3848514188828904588eg_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2066518>, <kernel.DependentProduct object at 0x2064998>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_ri7632146776885996613nteger:(code_integer->code_integer)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2066f38>, <kernel.DependentProduct object at 0x2064f38>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2064cf8>, <kernel.DependentProduct object at 0x2064248>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2064128>, <kernel.DependentProduct object at 0x20647e8>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2064f38>, <kernel.DependentProduct object at 0x20646c8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se3949692690581998587nteger:(code_integer->(code_integer->code_integer))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2064908>, <kernel.DependentProduct object at 0x2064f38>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x20646c8>, <kernel.DependentProduct object at 0x2064878>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x20646c8>, <kernel.DependentProduct object at 0x21d9200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x20646c8>, <kernel.DependentProduct object at 0x21d91b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2064368>, <kernel.DependentProduct object at 0x21d9128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x21d91b8>, <kernel.DependentProduct object at 0x21d9098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x21d9200>, <kernel.DependentProduct object at 0x21d93b0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x21d90e0>, <kernel.DependentProduct object at 0x21d91b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Code____Numeral__Ointeger
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bit_se2119862282449309892nteger:(nat->code_integer)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x21d9290>, <kernel.DependentProduct object at 0x21d9518>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d90e0>, <kernel.DependentProduct object at 0x21d95a8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d9518>, <kernel.DependentProduct object at 0x21d90e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d95a8>, <kernel.DependentProduct object at 0x21d9518>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d90e0>, <kernel.DependentProduct object at 0x21d95a8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d9518>, <kernel.DependentProduct object at 0x21d90e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d95a8>, <kernel.DependentProduct object at 0x21d9518>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d90e0>, <kernel.DependentProduct object at 0x21d95a8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d9518>, <kernel.DependentProduct object at 0x21d90e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d95a8>, <kernel.DependentProduct object at 0x21d9518>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Code____Numeral__Ointeger
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se1745604003318907178nteger:(nat->(code_integer->code_integer))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d90e0>, <kernel.DependentProduct object at 0x21d95a8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d9518>, <kernel.DependentProduct object at 0x21d90e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d95a8>, <kernel.DependentProduct object at 0x21d9518>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d90e0>, <kernel.DependentProduct object at 0x21d95a8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d9518>, <kernel.DependentProduct object at 0x21d90e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d95a8>, <kernel.DependentProduct object at 0x21d9518>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Code____Numeral__Ointeger
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se3222712562003087583nteger:(code_integer->(code_integer->code_integer))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d90e0>, <kernel.DependentProduct object at 0x21d95a8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d9518>, <kernel.DependentProduct object at 0x21d90e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d95a8>, <kernel.DependentProduct object at 0x21d9518>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Code____Numeral__Ointeger
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se9216721137139052372nteger:(code_integer->(nat->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d90e0>, <kernel.DependentProduct object at 0x21d95a8>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d9518>, <kernel.DependentProduct object at 0x2050050>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d9fc8>, <kernel.DependentProduct object at 0x21d9f80>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d95a8>, <kernel.DependentProduct object at 0x2050128>) of role type named sy_c_Code__Numeral_Obit__cut__integer
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_bit_cut_integer:(code_integer->produc6271795597528267376eger_o)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d9518>, <kernel.DependentProduct object at 0x2050170>) of role type named sy_c_Code__Numeral_Odivmod__abs
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_divmod_abs:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d95a8>, <kernel.DependentProduct object at 0x2050128>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d9fc8>, <kernel.DependentProduct object at 0x2050098>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_int_of_integer:(code_integer->int)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d95a8>, <kernel.DependentProduct object at 0x20502d8>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_integer_of_int:(int->code_integer)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x21d95a8>, <kernel.DependentProduct object at 0x2050290>) of role type named sy_c_Code__Numeral_Ointeger__of__num
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_integer_of_num:(num->code_integer)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2050248>, <kernel.DependentProduct object at 0x2050320>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_nat_of_integer:(code_integer->nat)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x20500e0>, <kernel.DependentProduct object at 0x20503b0>) of role type named sy_c_Code__Numeral_Onegative
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_negative:(num->code_integer)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2050290>, <kernel.DependentProduct object at 0x2050248>) of role type named sy_c_Code__Numeral_Onum__of__integer
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_num_of_integer:(code_integer->num)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2050098>, <kernel.DependentProduct object at 0x2050440>) of role type named sy_c_Code__Numeral_Opositive
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring code_positive:(num->code_integer)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20503b0>, <kernel.DependentProduct object at 0x2050488>) of role type named sy_c_Code__Target__Int_Onegative
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring code_Target_negative:(num->int)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20500e0>, <kernel.DependentProduct object at 0x20504d0>) of role type named sy_c_Code__Target__Int_Opositive
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring code_Target_positive:(num->int)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050320>, <kernel.DependentProduct object at 0x2050098>) of role type named sy_c_Code__Target__Nat_Oint__of__nat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring code_T6385005292777649522of_nat:(nat->int)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050050>, <kernel.DependentProduct object at 0x2050560>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring complete_Inf_Inf_int:(set_int->int)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050440>, <kernel.DependentProduct object at 0x20505a8>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring complete_Inf_Inf_nat:(set_nat->nat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050050>, <kernel.DependentProduct object at 0x20505f0>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comple4887499456419720421f_real:(set_real->real)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20505a8>, <kernel.DependentProduct object at 0x2050680>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comple7806235888213564991et_nat:(set_set_nat->set_nat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050248>, <kernel.DependentProduct object at 0x2050710>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring complete_Sup_Sup_int:(set_int->int)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050320>, <kernel.DependentProduct object at 0x2050758>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring complete_Sup_Sup_nat:(set_nat->nat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050248>, <kernel.DependentProduct object at 0x20507a0>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comple1385675409528146559p_real:(set_real->real)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050758>, <kernel.DependentProduct object at 0x2050830>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comple7399068483239264473et_nat:(set_set_nat->set_nat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050638>, <kernel.DependentProduct object at 0x20508c0>) of role type named sy_c_Complex_OArg
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring arg:(complex->real)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20505a8>, <kernel.DependentProduct object at 0x2050908>) of role type named sy_c_Complex_Ocis
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring cis:(real->complex)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20507e8>, <kernel.DependentProduct object at 0x2050950>) of role type named sy_c_Complex_Ocnj
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring cnj:(complex->complex)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050368>, <kernel.DependentProduct object at 0x20507e8>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring complex2:(real->(real->complex))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20509e0>, <kernel.DependentProduct object at 0x2050a70>) of role type named sy_c_Complex_Ocomplex_OIm
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring im:(complex->real)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20507e8>, <kernel.DependentProduct object at 0x2050a28>) of role type named sy_c_Complex_Ocomplex_ORe
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring re:(complex->real)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050758>, <kernel.DependentProduct object at 0x2050908>) of role type named sy_c_Complex_Ocsqrt
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring csqrt:(complex->complex)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050830>, <kernel.Constant object at 0x2050a70>) of role type named sy_c_Complex_Oimaginary__unit
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring imaginary_unit:complex
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20507e8>, <kernel.DependentProduct object at 0x2050950>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050b48>, <kernel.DependentProduct object at 0x2050bd8>) of role type named sy_c_Divides_Oadjust__div
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring adjust_div:(product_prod_int_int->int)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050a28>, <kernel.DependentProduct object at 0x20507e8>) of role type named sy_c_Divides_Oadjust__mod
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring adjust_mod:(int->(int->int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050b90>, <kernel.DependentProduct object at 0x2050b48>) of role type named sy_c_Divides_Odivmod__nat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050368>, <kernel.DependentProduct object at 0x2050b90>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050a28>, <kernel.DependentProduct object at 0x2050b48>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050368>, <kernel.DependentProduct object at 0x2050a28>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050b48>, <kernel.DependentProduct object at 0x2050368>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050a28>, <kernel.DependentProduct object at 0x2050e60>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring unique4921790084139445826nteger:(num->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050368>, <kernel.DependentProduct object at 0x2050a28>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050e60>, <kernel.DependentProduct object at 0x2050368>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050a28>, <kernel.DependentProduct object at 0x2050e60>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Code____Numeral__Ointeger
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comm_s8582702949713902594nteger:(code_integer->(nat->code_integer))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050368>, <kernel.DependentProduct object at 0x20507e8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Complex__Ocomplex
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comm_s2602460028002588243omplex:(complex->(nat->complex))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050368>, <kernel.DependentProduct object at 0x20540e0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comm_s4660882817536571857er_int:(int->(nat->int))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050368>, <kernel.DependentProduct object at 0x20541b8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comm_s4663373288045622133er_nat:(nat->(nat->nat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2050f80>, <kernel.DependentProduct object at 0x2054248>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Rat__Orat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comm_s4028243227959126397er_rat:(rat->(nat->rat))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20541b8>, <kernel.DependentProduct object at 0x20542d8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring comm_s7457072308508201937r_real:(real->(nat->real))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20540e0>, <kernel.DependentProduct object at 0x2054050>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Code____Numeral__Ointeger
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring semiri3624122377584611663nteger:(nat->code_integer)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2054200>, <kernel.DependentProduct object at 0x2054440>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20541b8>, <kernel.DependentProduct object at 0x20544d0>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring semiri1406184849735516958ct_int:(nat->int)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2054200>, <kernel.DependentProduct object at 0x2054560>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20544d0>, <kernel.DependentProduct object at 0x20545f0>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Rat__Orat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring semiri773545260158071498ct_rat:(nat->rat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2054560>, <kernel.DependentProduct object at 0x2054680>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20545f0>, <kernel.DependentProduct object at 0x2054710>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Complex__Ocomplex
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring invers8013647133539491842omplex:(complex->complex)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20542d8>, <kernel.DependentProduct object at 0x20547a0>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring inverse_inverse_rat:(rat->rat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2054638>, <kernel.DependentProduct object at 0x20547e8>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring inverse_inverse_real:(real->real)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20546c8>, <kernel.Constant object at 0x20547e8>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring at_bot_real:filter_real
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x20547a0>, <kernel.Constant object at 0x20547e8>) of role type named sy_c_Filter_Oat__top_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring at_top_int:filter_int
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2054680>, <kernel.Constant object at 0x20547e8>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring at_top_nat:filter_nat
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x20545f0>, <kernel.Constant object at 0x20547e8>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring at_top_real:filter_real
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2054830>, <kernel.DependentProduct object at 0x2054680>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x20547e8>, <kernel.DependentProduct object at 0x20545f0>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2054680>, <kernel.DependentProduct object at 0x2054908>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring filterlim_nat_int:((nat->int)->(filter_int->(filter_nat->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2054a28>, <kernel.DependentProduct object at 0x2054998>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2054ab8>, <kernel.DependentProduct object at 0x20549e0>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2054b00>, <kernel.DependentProduct object at 0x2054878>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2054320>, <kernel.DependentProduct object at 0x2054b90>) of role type named sy_c_Finite__Set_Ocard_001_Eo
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_card_o:(set_o->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x20547e8>, <kernel.DependentProduct object at 0x2054b00>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_card_complex:(set_complex->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2054b90>, <kernel.DependentProduct object at 0x2054a70>) of role type named sy_c_Finite__Set_Ocard_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_card_int:(set_int->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2054a28>, <kernel.DependentProduct object at 0x2054bd8>) of role type named sy_c_Finite__Set_Ocard_001t__List__Olist_It__Nat__Onat_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_card_list_nat:(set_list_nat->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2054320>, <kernel.DependentProduct object at 0x2054c20>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_card_nat:(set_nat->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2054b00>, <kernel.DependentProduct object at 0x2054c68>) of role type named sy_c_Finite__Set_Ocard_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_card_set_nat:(set_set_nat->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2054a70>, <kernel.DependentProduct object at 0x2054cb0>) of role type named sy_c_Finite__Set_Ocard_001t__String__Ochar
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_card_char:(set_char->nat)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2054b00>, <kernel.DependentProduct object at 0x2054320>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2054a70>, <kernel.DependentProduct object at 0x2054d40>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_finite_int:(set_int->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2054cb0>, <kernel.DependentProduct object at 0x2054d88>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring finite_finite_nat:(set_nat->Prop)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2054a70>, <kernel.DependentProduct object at 0x2054b00>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2054e60>, <kernel.DependentProduct object at 0x2054d40>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2054ea8>, <kernel.DependentProduct object at 0x2054cb0>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.67 Using role type
% 0.47/0.68 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2054e60>, <kernel.DependentProduct object at 0x2054ea8>) of role type named sy_c_Fun_Ocomp_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring comp_C8797469213163452608nteger:(((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->(code_integer->code_integer))->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2054cb0>, <kernel.DependentProduct object at 0x2054a70>) of role type named sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring comp_C1593894019821074884nteger:((code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->code_integer)->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2054ea8>, <kernel.DependentProduct object at 0x2054fc8>) of role type named sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring comp_C3531382070062128313er_num:((code_integer->code_integer)->((num->code_integer)->(num->code_integer)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2054a70>, <kernel.DependentProduct object at 0x205a1b8>) of role type named sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001t__Num__Onum_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring comp_C2179886998970519596um_nat:((code_integer->num)->((nat->code_integer)->(nat->num)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2054ea8>, <kernel.DependentProduct object at 0x205a170>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Int__Oint_001t__Num__Onum
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring comp_int_int_num:((int->int)->((num->int)->(num->int)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2054fc8>, <kernel.DependentProduct object at 0x205a290>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring comp_int_nat_int:((int->nat)->((int->int)->(int->nat)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a200>, <kernel.DependentProduct object at 0x205a2d8>) of role type named sy_c_Fun_Ostrict__mono__on_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring strict1292158309912662752at_nat:((nat->nat)->(set_nat->Prop))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a1b8>, <kernel.DependentProduct object at 0x205a368>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x2054a70>, <kernel.DependentProduct object at 0x205a3f8>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring gcd_Gcd_int:(set_int->int)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a0e0>, <kernel.DependentProduct object at 0x205a3b0>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring gcd_Gcd_nat:(set_nat->nat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a128>, <kernel.DependentProduct object at 0x205a1b8>) of role type named sy_c_GCD_Obezw
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bezw:(nat->(nat->product_prod_int_int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a098>, <kernel.DependentProduct object at 0x205a0e0>) of role type named sy_c_GCD_Obezw__rel
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring bezw_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a170>, <kernel.DependentProduct object at 0x205a128>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring gcd_gcd_Code_integer:(code_integer->(code_integer->code_integer))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a440>, <kernel.DependentProduct object at 0x205a098>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring gcd_gcd_int:(int->(int->int))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a4d0>, <kernel.DependentProduct object at 0x205a170>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Nat__Onat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring gcd_gcd_nat:(nat->(nat->nat))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a3b0>, <kernel.DependentProduct object at 0x205a440>) of role type named sy_c_GCD_Ogcd__nat__rel
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring gcd_nat_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a3f8>, <kernel.DependentProduct object at 0x205a488>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a098>, <kernel.DependentProduct object at 0x205a5f0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring abs_abs_complex:(complex->complex)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a5a8>, <kernel.DependentProduct object at 0x205a638>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring abs_abs_int:(int->int)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a440>, <kernel.DependentProduct object at 0x205a680>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring abs_abs_rat:(rat->rat)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a488>, <kernel.DependentProduct object at 0x205a6c8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring abs_abs_real:(real->real)
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a440>, <kernel.DependentProduct object at 0x205a758>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring minus_8727706125548526216plex_o:((complex->Prop)->((complex->Prop)->(complex->Prop)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a710>, <kernel.DependentProduct object at 0x205a7a0>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Int__Oint_M_Eo_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring minus_minus_int_o:((int->Prop)->((int->Prop)->(int->Prop)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a440>, <kernel.DependentProduct object at 0x205a878>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring minus_1139252259498527702_nat_o:((list_nat->Prop)->((list_nat->Prop)->(list_nat->Prop)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a758>, <kernel.DependentProduct object at 0x205a830>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Nat__Onat_M_Eo_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring minus_minus_nat_o:((nat->Prop)->((nat->Prop)->(nat->Prop)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a8c0>, <kernel.DependentProduct object at 0x205a950>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Real__Oreal_M_Eo_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring minus_minus_real_o:((real->Prop)->((real->Prop)->(real->Prop)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a758>, <kernel.DependentProduct object at 0x205a998>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring minus_6910147592129066416_nat_o:((set_nat->Prop)->((set_nat->Prop)->(set_nat->Prop)))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a950>, <kernel.DependentProduct object at 0x205a758>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring minus_8373710615458151222nteger:(code_integer->(code_integer->code_integer))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x205a9e0>, <kernel.DependentProduct object at 0x205a998>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205a950>, <kernel.DependentProduct object at 0x205a9e0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Extended____Nat__Oenat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_3235023915231533773d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205aa70>, <kernel.DependentProduct object at 0x205a998>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_int:(int->(int->int))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205a830>, <kernel.DependentProduct object at 0x205a950>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205ab48>, <kernel.DependentProduct object at 0x205aa70>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_rat:(rat->(rat->rat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205a758>, <kernel.DependentProduct object at 0x205a830>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_real:(real->(real->real))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205aa28>, <kernel.DependentProduct object at 0x205ab48>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_I_Eo_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_set_o:(set_o->(set_o->set_o))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205a758>, <kernel.DependentProduct object at 0x205aa28>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205a998>, <kernel.DependentProduct object at 0x205ab48>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205a758>, <kernel.DependentProduct object at 0x205a998>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_7954133019191499631st_nat:(set_list_nat->(set_list_nat->set_list_nat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205ad40>, <kernel.DependentProduct object at 0x205ab48>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205a9e0>, <kernel.DependentProduct object at 0x205a758>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205ad40>, <kernel.DependentProduct object at 0x205a9e0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_2163939370556025621et_nat:(set_set_nat->(set_set_nat->set_set_nat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205a758>, <kernel.DependentProduct object at 0x205ad40>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring minus_5127226145743854075T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205ae18>, <kernel.Constant object at 0x205ad40>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring one_one_Code_integer:code_integer
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205aef0>, <kernel.Constant object at 0x205ad40>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring one_one_complex:complex
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205ae18>, <kernel.Constant object at 0x205add0>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205af38>, <kernel.Constant object at 0x205add0>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring one_one_int:int
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205afc8>, <kernel.Constant object at 0x205add0>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring one_one_nat:nat
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205ae18>, <kernel.Constant object at 0x205af80>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring one_one_rat:rat
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205af38>, <kernel.Constant object at 0x21e1050>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring one_one_real:real
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205af80>, <kernel.DependentProduct object at 0x21e11b8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205af38>, <kernel.DependentProduct object at 0x21e10e0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21e1098>, <kernel.DependentProduct object at 0x21e1320>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x205af80>, <kernel.DependentProduct object at 0x21e1248>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring plus_plus_int:(int->(int->int))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21e1200>, <kernel.DependentProduct object at 0x21e12d8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21e13b0>, <kernel.DependentProduct object at 0x21e1098>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring plus_plus_num:(num->(num->num))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21e11b8>, <kernel.DependentProduct object at 0x21e1200>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21e1290>, <kernel.DependentProduct object at 0x21e13b0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring plus_plus_real:(real->(real->real))
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21e1320>, <kernel.DependentProduct object at 0x21e1248>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21e1098>, <kernel.DependentProduct object at 0x21e12d8>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring sgn_sgn_complex:(complex->complex)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21e1200>, <kernel.DependentProduct object at 0x21e1560>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring sgn_sgn_int:(int->int)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21e13b0>, <kernel.DependentProduct object at 0x21e15a8>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring sgn_sgn_rat:(rat->rat)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21e1248>, <kernel.DependentProduct object at 0x21e15f0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.47/0.69 Using role type
% 0.47/0.69 Declaring sgn_sgn_real:(real->real)
% 0.47/0.69 FOF formula (<kernel.Constant object at 0x21e13b0>, <kernel.DependentProduct object at 0x21e1248>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1638>, <kernel.DependentProduct object at 0x21e15f0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring times_times_complex:(complex->(complex->complex))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e13b0>, <kernel.DependentProduct object at 0x21e1638>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1710>, <kernel.DependentProduct object at 0x21e15f0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring times_times_int:(int->(int->int))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e12d8>, <kernel.DependentProduct object at 0x21e13b0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring times_times_nat:(nat->(nat->nat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e17e8>, <kernel.DependentProduct object at 0x21e1710>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring times_times_num:(num->(num->num))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1248>, <kernel.DependentProduct object at 0x21e12d8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring times_times_rat:(rat->(rat->rat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e16c8>, <kernel.DependentProduct object at 0x21e17e8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring times_times_real:(real->(real->real))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1248>, <kernel.DependentProduct object at 0x21e16c8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus1680532995456772888plex_o:((complex->Prop)->(complex->Prop))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1710>, <kernel.DependentProduct object at 0x21e17e8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Int__Oint_M_Eo_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus_uminus_int_o:((int->Prop)->(int->Prop))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1248>, <kernel.DependentProduct object at 0x21e1710>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus5770388063884162150_nat_o:((list_nat->Prop)->(list_nat->Prop))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1638>, <kernel.DependentProduct object at 0x21e17e8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Nat__Onat_M_Eo_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus_uminus_nat_o:((nat->Prop)->(nat->Prop))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1710>, <kernel.DependentProduct object at 0x21e1248>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Real__Oreal_M_Eo_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus_uminus_real_o:((real->Prop)->(real->Prop))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1638>, <kernel.DependentProduct object at 0x21e1710>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus6401447641752708672_nat_o:((set_nat->Prop)->(set_nat->Prop))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1248>, <kernel.DependentProduct object at 0x21e1b90>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1710>, <kernel.DependentProduct object at 0x21e1c20>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1998>, <kernel.DependentProduct object at 0x21e1cb0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus_uminus_int:(int->int)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1a70>, <kernel.DependentProduct object at 0x21e1cf8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus_uminus_rat:(rat->rat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1bd8>, <kernel.DependentProduct object at 0x21e1d40>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus_uminus_real:(real->real)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1c20>, <kernel.DependentProduct object at 0x21e1d88>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_I_Eo_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus_uminus_set_o:(set_o->set_o)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1bd8>, <kernel.DependentProduct object at 0x21e1dd0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus8566677241136511917omplex:(set_complex->set_complex)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1d88>, <kernel.DependentProduct object at 0x21e1e60>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Int__Oint_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus1532241313380277803et_int:(set_int->set_int)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1dd0>, <kernel.DependentProduct object at 0x21e1ef0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus3195874150345416415st_nat:(set_list_nat->set_list_nat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1e60>, <kernel.DependentProduct object at 0x21e1f80>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1ef0>, <kernel.DependentProduct object at 0x21e4050>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Real__Oreal_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus612125837232591019t_real:(set_real->set_real)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1f80>, <kernel.DependentProduct object at 0x21e40e0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus613421341184616069et_nat:(set_set_nat->set_set_nat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1f38>, <kernel.DependentProduct object at 0x21e4170>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring uminus8041839845116263051T_VEBT:(set_VEBT_VEBT->set_VEBT_VEBT)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1f38>, <kernel.Constant object at 0x21e4170>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring zero_z3403309356797280102nteger:code_integer
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1e60>, <kernel.Constant object at 0x21e4050>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring zero_zero_complex:complex
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e4128>, <kernel.Constant object at 0x21e4170>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1e60>, <kernel.Constant object at 0x21e4170>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring zero_zero_int:int
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e1e60>, <kernel.Constant object at 0x21e4170>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring zero_zero_nat:nat
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e42d8>, <kernel.Constant object at 0x21e4170>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring zero_zero_rat:rat
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e4320>, <kernel.Constant object at 0x21e4170>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring zero_zero_real:real
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e42d8>, <kernel.DependentProduct object at 0x21e4368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e4170>, <kernel.DependentProduct object at 0x21e4320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e4368>, <kernel.DependentProduct object at 0x21e42d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e4320>, <kernel.DependentProduct object at 0x21e4170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e42d8>, <kernel.DependentProduct object at 0x21e4368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e4170>, <kernel.DependentProduct object at 0x21e4320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e4368>, <kernel.DependentProduct object at 0x21e42d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e4320>, <kernel.DependentProduct object at 0x21e4368>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups9116527308978886569_o_int:((Prop->int)->(int->(list_o->int)))
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e42d8>, <kernel.DependentProduct object at 0x21e4998>) of role type named sy_c_Groups__List_Omonoid__add__class_Osum__list_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring groups4561878855575611511st_nat:(list_nat->nat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e48c0>, <kernel.DependentProduct object at 0x21e4950>) of role type named sy_c_HOL_OThe_001_Eo
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring the_o:((Prop->Prop)->Prop)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e4998>, <kernel.DependentProduct object at 0x21e49e0>) of role type named sy_c_HOL_OThe_001t__Complex__Ocomplex
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring the_complex:((complex->Prop)->complex)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e4200>, <kernel.DependentProduct object at 0x21e4a70>) of role type named sy_c_HOL_OThe_001t__Int__Oint
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring the_int:((int->Prop)->int)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e4908>, <kernel.DependentProduct object at 0x21e4ab8>) of role type named sy_c_HOL_OThe_001t__Nat__Onat
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring the_nat:((nat->Prop)->nat)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e4878>, <kernel.DependentProduct object at 0x21e4b00>) of role type named sy_c_HOL_OThe_001t__Real__Oreal
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring the_real:((real->Prop)->real)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e4a28>, <kernel.DependentProduct object at 0x21e4200>) of role type named sy_c_HOL_OThe_001t__VEBT____Definitions__OVEBT
% 0.47/0.70 Using role type
% 0.47/0.70 Declaring the_VEBT_VEBT:((vEBT_VEBT->Prop)->vEBT_VEBT)
% 0.47/0.70 FOF formula (<kernel.Constant object at 0x21e4b00>, <kernel.DependentProduct object at 0x21e4b90>) of role type named sy_c_If_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring if_int_int:(Prop->((int->int)->((int->int)->(int->int))))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x21e4b48>, <kernel.DependentProduct object at 0x21e4a28>) of role type named sy_c_If_001_062_It__Nat__Onat_M_062_It__Int__Oint_Mt__Int__Oint_J_J
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring if_nat_int_int:(Prop->((nat->(int->int))->((nat->(int->int))->(nat->(int->int)))))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x21e48c0>, <kernel.DependentProduct object at 0x21e4b00>) of role type named sy_c_If_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring if_nat_nat_nat:(Prop->((nat->(nat->nat))->((nat->(nat->nat))->(nat->(nat->nat)))))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x21e4908>, <kernel.DependentProduct object at 0x21e4b00>) of role type named sy_c_If_001t__Code____Numeral__Ointeger
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring if_Code_integer:(Prop->(code_integer->(code_integer->code_integer)))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x21e47e8>, <kernel.DependentProduct object at 0x21e4998>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x21e4cb0>, <kernel.DependentProduct object at 0x21e47e8>) of role type named sy_c_If_001t__Int__Oint
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring if_int:(Prop->(int->(int->int)))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x21e4d40>, <kernel.DependentProduct object at 0x21e47e8>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x21e4a28>, <kernel.DependentProduct object at 0x21e47e8>) of role type named sy_c_If_001t__List__Olist_It__Nat__Onat_J
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring if_list_nat:(Prop->(list_nat->(list_nat->list_nat)))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x21e4b90>, <kernel.DependentProduct object at 0x21e47e8>) of role type named sy_c_If_001t__Nat__Onat
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x21e4e18>, <kernel.DependentProduct object at 0x21e47e8>) of role type named sy_c_If_001t__Num__Onum
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring if_num:(Prop->(num->(num->num)))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x21e4e60>, <kernel.DependentProduct object at 0x21e47e8>) of role type named sy_c_If_001t__Option__Ooption_It__Nat__Onat_J
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring if_option_nat:(Prop->(option_nat->(option_nat->option_nat)))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x21e4ea8>, <kernel.DependentProduct object at 0x21e47e8>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x21e4e60>, <kernel.DependentProduct object at 0x21e42d8>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring if_Pro5737122678794959658eger_o:(Prop->(produc6271795597528267376eger_o->(produc6271795597528267376eger_o->produc6271795597528267376eger_o)))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x21e47e8>, <kernel.DependentProduct object at 0x21e4908>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x21e42d8>, <kernel.DependentProduct object at 0x21e48c0>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.47/0.71 Using role type
% 0.47/0.71 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.47/0.71 FOF formula (<kernel.Constant object at 0x21e4908>, <kernel.DependentProduct object at 0x21e4ea8>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e42d8>, <kernel.DependentProduct object at 0x21e7050>) of role type named sy_c_If_001t__Rat__Orat
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e48c0>, <kernel.DependentProduct object at 0x21e70e0>) of role type named sy_c_If_001t__Real__Oreal
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring if_real:(Prop->(real->(real->real)))
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e4908>, <kernel.DependentProduct object at 0x21e7050>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e48c0>, <kernel.DependentProduct object at 0x21e7050>) of role type named sy_c_If_001t__VEBT____Definitions__OVEBT
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring if_VEBT_VEBT:(Prop->(vEBT_VEBT->(vEBT_VEBT->vEBT_VEBT)))
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7128>, <kernel.DependentProduct object at 0x21e7170>) of role type named sy_c_Infinite__Set_Owellorder__class_Oenumerate_001t__Nat__Onat
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring infini8530281810654367211te_nat:(set_nat->(nat->nat))
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e4908>, <kernel.DependentProduct object at 0x21e7128>) of role type named sy_c_Int_Oint__ge__less__than
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring int_ge_less_than:(int->set_Pr958786334691620121nt_int)
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7290>, <kernel.DependentProduct object at 0x21e72d8>) of role type named sy_c_Int_Oint__ge__less__than2
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring int_ge_less_than2:(int->set_Pr958786334691620121nt_int)
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7200>, <kernel.DependentProduct object at 0x21e7320>) of role type named sy_c_Int_Onat
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring nat2:(int->nat)
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e72d8>, <kernel.Constant object at 0x21e7320>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Complex__Ocomplex
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring ring_1_Ints_complex:set_complex
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7290>, <kernel.Constant object at 0x21e7320>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Real__Oreal
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring ring_1_Ints_real:set_real
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e72d8>, <kernel.DependentProduct object at 0x21e7440>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7320>, <kernel.DependentProduct object at 0x21e74d0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7368>, <kernel.DependentProduct object at 0x21e7560>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring ring_1_of_int_int:(int->int)
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e73f8>, <kernel.DependentProduct object at 0x21e75a8>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Rat__Orat
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring ring_1_of_int_rat:(int->rat)
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7488>, <kernel.DependentProduct object at 0x21e75f0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring ring_1_of_int_real:(int->real)
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e74d0>, <kernel.DependentProduct object at 0x21e73f8>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring inf_inf_set_nat:(set_nat->(set_nat->set_nat))
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7488>, <kernel.DependentProduct object at 0x21e74d0>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Extended____Nat__Oenat
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring sup_su3973961784419623482d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7680>, <kernel.DependentProduct object at 0x21e73f8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Int__Oint
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring sup_sup_int:(int->(int->int))
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7638>, <kernel.DependentProduct object at 0x21e7488>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring sup_sup_nat:(nat->(nat->nat))
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7758>, <kernel.DependentProduct object at 0x21e7680>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring sup_sup_set_nat:(set_nat->(set_nat->set_nat))
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7638>, <kernel.DependentProduct object at 0x21e7320>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Int__Oint
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring lattic8263393255366662781ax_int:(set_int->int)
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7680>, <kernel.DependentProduct object at 0x21e7878>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7320>, <kernel.DependentProduct object at 0x21e7908>) of role type named sy_c_Lattices__Big_Olinorder__class_OMin_001t__Nat__Onat
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring lattic8721135487736765967in_nat:(set_nat->nat)
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e75f0>, <kernel.DependentProduct object at 0x21e74d0>) of role type named sy_c_Limits_OBfun_001t__Nat__Onat_001t__Real__Oreal
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring bfun_nat_real:((nat->real)->(filter_nat->Prop))
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7908>, <kernel.Constant object at 0x21e74d0>) of role type named sy_c_Limits_Oat__infinity_001t__Real__Oreal
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring at_infinity_real:filter_real
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7098>, <kernel.DependentProduct object at 0x21e7a28>) of role type named sy_c_List_Odistinct_001t__Int__Oint
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring distinct_int:(list_int->Prop)
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7998>, <kernel.DependentProduct object at 0x21e7a70>) of role type named sy_c_List_Odistinct_001t__Nat__Onat
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring distinct_nat:(list_nat->Prop)
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e74d0>, <kernel.DependentProduct object at 0x21e7ab8>) of role type named sy_c_List_Ofoldl_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring foldl_VEBT_VEBT_nat:((vEBT_VEBT->(nat->vEBT_VEBT))->(vEBT_VEBT->(list_nat->vEBT_VEBT)))
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7b00>, <kernel.DependentProduct object at 0x21e7b48>) of role type named sy_c_List_Ofoldr_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring foldr_nat_nat:((nat->(nat->nat))->(list_nat->(nat->nat)))
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7bd8>, <kernel.DependentProduct object at 0x21e7b90>) of role type named sy_c_List_Ofoldr_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring foldr_real_real:((real->(real->real))->(list_real->(real->real)))
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7b00>, <kernel.DependentProduct object at 0x21e7998>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7c20>, <kernel.DependentProduct object at 0x21e7b90>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring cons_int:(int->(list_int->list_int))
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7ab8>, <kernel.DependentProduct object at 0x21e7b00>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7b48>, <kernel.Constant object at 0x21e7b00>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.47/0.72 Using role type
% 0.47/0.72 Declaring nil_int:list_int
% 0.47/0.72 FOF formula (<kernel.Constant object at 0x21e7b90>, <kernel.Constant object at 0x21e7b00>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring nil_nat:list_nat
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21e7bd8>, <kernel.DependentProduct object at 0x21e7998>) of role type named sy_c_List_Olist_Omap_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring map_complex_complex:((complex->complex)->(list_complex->list_complex))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21e7b48>, <kernel.DependentProduct object at 0x21e7cf8>) of role type named sy_c_List_Olist_Omap_001t__Int__Oint_001t__Int__Oint
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring map_int_int:((int->int)->(list_int->list_int))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21e7b90>, <kernel.DependentProduct object at 0x21e7878>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__Nat__Onat
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring map_nat_nat:((nat->nat)->(list_nat->list_nat))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21e7bd8>, <kernel.DependentProduct object at 0x21e7d88>) of role type named sy_c_List_Olist_Omap_001t__Real__Oreal_001t__Real__Oreal
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring map_real_real:((real->real)->(list_real->list_real))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21e7b48>, <kernel.DependentProduct object at 0x21e74d0>) of role type named sy_c_List_Olist_Omap_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Nat__Onat_J
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring map_set_nat_set_nat:((set_nat->set_nat)->(list_set_nat->list_set_nat))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21e7b90>, <kernel.DependentProduct object at 0x21e7b00>) of role type named sy_c_List_Olist_Omap_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring map_VEBT_VEBT_nat:((vEBT_VEBT->nat)->(list_VEBT_VEBT->list_nat))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21e7bd8>, <kernel.DependentProduct object at 0x21e7ea8>) of role type named sy_c_List_Olist_Omap_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring map_VEBT_VEBT_real:((vEBT_VEBT->real)->(list_VEBT_VEBT->list_real))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21e7b90>, <kernel.DependentProduct object at 0x21e7b48>) of role type named sy_c_List_Olist_Omap_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring map_VE8901447254227204932T_VEBT:((vEBT_VEBT->vEBT_VEBT)->(list_VEBT_VEBT->list_VEBT_VEBT))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21e7bd8>, <kernel.DependentProduct object at 0x21e7b00>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring set_complex2:(list_complex->set_complex)
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21e7878>, <kernel.DependentProduct object at 0x21ec050>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring set_int2:(list_int->set_int)
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21e7cf8>, <kernel.DependentProduct object at 0x21ec098>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring set_nat2:(list_nat->set_nat)
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21e7b00>, <kernel.DependentProduct object at 0x21ec0e0>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring set_real2:(list_real->set_real)
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21e7b48>, <kernel.DependentProduct object at 0x21ec128>) of role type named sy_c_List_Olist_Oset_001t__Set__Oset_It__Nat__Onat_J
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring set_set_nat2:(list_set_nat->set_set_nat)
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21e7878>, <kernel.DependentProduct object at 0x21ec170>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21e7b00>, <kernel.DependentProduct object at 0x21ec170>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21e7878>, <kernel.DependentProduct object at 0x21ec248>) of role type named sy_c_List_Olist__update_001t__VEBT____Definitions__OVEBT
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring list_u1324408373059187874T_VEBT:(list_VEBT_VEBT->(nat->(vEBT_VEBT->list_VEBT_VEBT)))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21e7b48>, <kernel.DependentProduct object at 0x21ec098>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring nth_int:(list_int->(nat->int))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21e7b48>, <kernel.DependentProduct object at 0x21ec050>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring nth_nat:(list_nat->(nat->nat))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21e7b48>, <kernel.DependentProduct object at 0x21ec320>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21ec3b0>, <kernel.DependentProduct object at 0x21ec128>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21ec290>, <kernel.DependentProduct object at 0x21ec098>) of role type named sy_c_List_Osorted__wrt_001t__Int__Oint
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring sorted_wrt_int:((int->(int->Prop))->(list_int->Prop))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21ec128>, <kernel.DependentProduct object at 0x21ec3f8>) of role type named sy_c_List_Osorted__wrt_001t__Nat__Onat
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring sorted_wrt_nat:((nat->(nat->Prop))->(list_nat->Prop))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21ec098>, <kernel.DependentProduct object at 0x21ec290>) of role type named sy_c_List_Oupt
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring upt:(nat->(nat->list_nat))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21ec440>, <kernel.DependentProduct object at 0x21ec128>) of role type named sy_c_List_Oupto
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring upto:(int->(int->list_int))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21ec488>, <kernel.DependentProduct object at 0x21ec098>) of role type named sy_c_List_Oupto__aux
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21ec3b0>, <kernel.DependentProduct object at 0x21ec440>) of role type named sy_c_List_Oupto__rel
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring upto_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21ec560>, <kernel.DependentProduct object at 0x21ec2d8>) of role type named sy_c_Nat_OSuc
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring suc:(nat->nat)
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21ec368>, <kernel.DependentProduct object at 0x21ec050>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21ec5a8>, <kernel.DependentProduct object at 0x21ec638>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21ec680>, <kernel.DependentProduct object at 0x21ec6c8>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Option__Ooption_It__Num__Onum_J
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring case_nat_option_num:(option_num->((nat->option_num)->(nat->option_num)))
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21ec710>, <kernel.DependentProduct object at 0x21ec2d8>) of role type named sy_c_Nat_Onat_Opred
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring pred:(nat->nat)
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21ec680>, <kernel.DependentProduct object at 0x21ec758>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21ec2d8>, <kernel.DependentProduct object at 0x21ec3b0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.56/0.73 FOF formula (<kernel.Constant object at 0x21ec758>, <kernel.DependentProduct object at 0x21ec7e8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.56/0.73 Using role type
% 0.56/0.73 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ec3b0>, <kernel.DependentProduct object at 0x21ec878>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ec7e8>, <kernel.DependentProduct object at 0x21ec908>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ec878>, <kernel.DependentProduct object at 0x21ec998>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ec908>, <kernel.DependentProduct object at 0x21ec368>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Code____Numeral__Ointeger
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring semiri4055485073559036834nteger:((code_integer->code_integer)->(nat->(code_integer->code_integer)))
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ec998>, <kernel.DependentProduct object at 0x21eca70>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Complex__Ocomplex
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring semiri2816024913162550771omplex:((complex->complex)->(nat->(complex->complex)))
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ec368>, <kernel.DependentProduct object at 0x21ecb00>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Int__Oint
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring semiri8420488043553186161ux_int:((int->int)->(nat->(int->int)))
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21eca70>, <kernel.DependentProduct object at 0x21ecb90>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Nat__Onat
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring semiri8422978514062236437ux_nat:((nat->nat)->(nat->(nat->nat)))
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ecb00>, <kernel.DependentProduct object at 0x21ecc20>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Rat__Orat
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring semiri7787848453975740701ux_rat:((rat->rat)->(nat->(rat->rat)))
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ecb90>, <kernel.DependentProduct object at 0x21eccb0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Real__Oreal
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring semiri7260567687927622513x_real:((real->real)->(nat->(real->real)))
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ecd40>, <kernel.DependentProduct object at 0x21ece18>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring size_size_list_o:(list_o->nat)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ec8c0>, <kernel.DependentProduct object at 0x21ecdd0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring size_size_list_int:(list_int->nat)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ec950>, <kernel.DependentProduct object at 0x21eca28>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring size_size_list_nat:(list_nat->nat)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21eccb0>, <kernel.DependentProduct object at 0x21ece60>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring size_size_list_real:(list_real->nat)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ec950>, <kernel.DependentProduct object at 0x21ecea8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ece18>, <kernel.DependentProduct object at 0x21ecf38>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring size_size_num:(num->nat)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21eca28>, <kernel.DependentProduct object at 0x21ecf80>) of role type named sy_c_Nat_Osize__class_Osize_001t__String__Ochar
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring size_size_char:(char->nat)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ec8c0>, <kernel.DependentProduct object at 0x21ecfc8>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ecea8>, <kernel.DependentProduct object at 0x21eca28>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ec8c0>, <kernel.DependentProduct object at 0x21f1050>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ec128>, <kernel.DependentProduct object at 0x21f1170>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring nat_set_decode:(nat->set_nat)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ecf38>, <kernel.DependentProduct object at 0x21f11b8>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring nat_set_encode:(set_nat->nat)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ec950>, <kernel.DependentProduct object at 0x21f1200>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring nat_triangle:(nat->nat)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ec8c0>, <kernel.DependentProduct object at 0x21f1170>) of role type named sy_c_NthRoot_Oroot
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring root:(nat->(real->real))
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ec950>, <kernel.DependentProduct object at 0x21f1248>) of role type named sy_c_NthRoot_Osqrt
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring sqrt:(real->real)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ec8c0>, <kernel.DependentProduct object at 0x21f1098>) of role type named sy_c_Num_OBitM
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring bitM:(num->num)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21ec8c0>, <kernel.DependentProduct object at 0x21f12d8>) of role type named sy_c_Num_Oinc
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring inc:(num->num)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f11b8>, <kernel.DependentProduct object at 0x21f1320>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f12d8>, <kernel.DependentProduct object at 0x21f13b0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f1170>, <kernel.DependentProduct object at 0x21f1440>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring neg_numeral_dbl_int:(int->int)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f1050>, <kernel.DependentProduct object at 0x21f1488>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f1368>, <kernel.DependentProduct object at 0x21f14d0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring neg_numeral_dbl_real:(real->real)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f1050>, <kernel.DependentProduct object at 0x21f1518>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f14d0>, <kernel.DependentProduct object at 0x21f15a8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f1518>, <kernel.DependentProduct object at 0x21f1638>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f15a8>, <kernel.DependentProduct object at 0x21f16c8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f1638>, <kernel.DependentProduct object at 0x21f1758>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f16c8>, <kernel.DependentProduct object at 0x21f17e8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Code____Numeral__Ointeger
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring neg_nu5831290666863070958nteger:(code_integer->code_integer)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f1758>, <kernel.DependentProduct object at 0x21f1878>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Complex__Ocomplex
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring neg_nu8557863876264182079omplex:(complex->complex)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f17e8>, <kernel.DependentProduct object at 0x21f1908>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Int__Oint
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring neg_nu5851722552734809277nc_int:(int->int)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f1878>, <kernel.DependentProduct object at 0x21f1998>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Rat__Orat
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring neg_nu5219082963157363817nc_rat:(rat->rat)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f1908>, <kernel.DependentProduct object at 0x21f1a28>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Real__Oreal
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring neg_nu8295874005876285629c_real:(real->real)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f13b0>, <kernel.DependentProduct object at 0x21f1ab8>) of role type named sy_c_Num_Onum_OBit0
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring bit0:(num->num)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f1950>, <kernel.DependentProduct object at 0x21f1b00>) of role type named sy_c_Num_Onum_OBit1
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring bit1:(num->num)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f19e0>, <kernel.Constant object at 0x21f1b00>) of role type named sy_c_Num_Onum_OOne
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring one:num
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f1ab8>, <kernel.DependentProduct object at 0x21f1c20>) of role type named sy_c_Num_Onum_Ocase__num_001t__Option__Ooption_It__Num__Onum_J
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring case_num_option_num:(option_num->((num->option_num)->((num->option_num)->(num->option_num))))
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f1bd8>, <kernel.DependentProduct object at 0x21f1b90>) of role type named sy_c_Num_Onum_Osize__num
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring size_num:(num->nat)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f1998>, <kernel.DependentProduct object at 0x21f1950>) of role type named sy_c_Num_Onum__of__nat
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring num_of_nat:(nat->num)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f1bd8>, <kernel.DependentProduct object at 0x21f1908>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f1950>, <kernel.DependentProduct object at 0x21f1cf8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring numera6690914467698888265omplex:(num->complex)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f1908>, <kernel.DependentProduct object at 0x21f1d88>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f1b00>, <kernel.DependentProduct object at 0x21f1e18>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.56/0.74 Using role type
% 0.56/0.74 Declaring numeral_numeral_int:(num->int)
% 0.56/0.74 FOF formula (<kernel.Constant object at 0x21f1d40>, <kernel.DependentProduct object at 0x21f1e60>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring numeral_numeral_nat:(num->nat)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f1a28>, <kernel.DependentProduct object at 0x21f1ea8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring numeral_numeral_rat:(num->rat)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f1d88>, <kernel.DependentProduct object at 0x21f1ef0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring numeral_numeral_real:(num->real)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f1e18>, <kernel.DependentProduct object at 0x21f1a28>) of role type named sy_c_Num_Opow
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring pow:(num->(num->num))
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f1f38>, <kernel.DependentProduct object at 0x21f1f80>) of role type named sy_c_Num_Opred__numeral
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring pred_numeral:(num->nat)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f1ea8>, <kernel.Constant object at 0x21f1f80>) of role type named sy_c_Option_Ooption_ONone_001t__Nat__Onat
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring none_nat:option_nat
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f1a28>, <kernel.Constant object at 0x21f1f80>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring none_num:option_num
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f1ea8>, <kernel.Constant object at 0x21f1fc8>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f1e60>, <kernel.DependentProduct object at 0x21f3128>) of role type named sy_c_Option_Ooption_OSome_001t__Nat__Onat
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring some_nat:(nat->option_nat)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f1d88>, <kernel.DependentProduct object at 0x21f3170>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring some_num:(num->option_num)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f1d88>, <kernel.DependentProduct object at 0x21f3050>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f1fc8>, <kernel.DependentProduct object at 0x21f32d8>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Int__Oint_001t__Num__Onum
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring case_option_int_num:(int->((num->int)->(option_num->int)))
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f1ea8>, <kernel.DependentProduct object at 0x21f3320>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f3368>, <kernel.DependentProduct object at 0x21f3248>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring case_o1383228350324149268at_nat:(option_nat->((product_prod_nat_nat->option_nat)->(option4927543243414619207at_nat->option_nat)))
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f32d8>, <kernel.DependentProduct object at 0x21f3050>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f3290>, <kernel.DependentProduct object at 0x21f33f8>) of role type named sy_c_Option_Ooption_Ocase__option_001t__VEBT____Definitions__OVEBT_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring case_o2442805151034396888at_nat:(vEBT_VEBT->((product_prod_nat_nat->vEBT_VEBT)->(option4927543243414619207at_nat->vEBT_VEBT)))
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f3200>, <kernel.DependentProduct object at 0x21f3518>) of role type named sy_c_Option_Ooption_Othe_001t__Nat__Onat
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring the_nat2:(option_nat->nat)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f3368>, <kernel.DependentProduct object at 0x21f3440>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_I_Eo_M_Eo_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bot_bot_o_o:(Prop->Prop)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f3518>, <kernel.DependentProduct object at 0x21f34d0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bot_bot_complex_o:(complex->Prop)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f3200>, <kernel.DependentProduct object at 0x21f3488>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Int__Oint_M_Eo_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bot_bot_int_o:(int->Prop)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f3368>, <kernel.DependentProduct object at 0x21f3560>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bot_bot_list_nat_o:(list_nat->Prop)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f3518>, <kernel.DependentProduct object at 0x21f35a8>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_Eo_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bot_bot_nat_o:(nat->Prop)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f3200>, <kernel.DependentProduct object at 0x21f35f0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Real__Oreal_M_Eo_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bot_bot_real_o:(real->Prop)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f3368>, <kernel.DependentProduct object at 0x21f3638>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bot_bot_set_nat_o:(set_nat->Prop)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f3200>, <kernel.Constant object at 0x21f35a8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Extended____Nat__Oenat
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bot_bo4199563552545308370d_enat:extended_enat
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f35f0>, <kernel.Constant object at 0x21f35a8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bot_bot_nat:nat
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f3680>, <kernel.Constant object at 0x21f35a8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_I_Eo_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bot_bot_set_o:set_o
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f36c8>, <kernel.Constant object at 0x21f35a8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bot_bot_set_complex:set_complex
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f3710>, <kernel.Constant object at 0x21f35a8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bot_bot_set_int:set_int
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f3758>, <kernel.Constant object at 0x21f35a8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bot_bot_set_list_nat:set_list_nat
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f37a0>, <kernel.Constant object at 0x21f35a8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bot_bot_set_nat:set_nat
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f37e8>, <kernel.Constant object at 0x21f35a8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bot_bot_set_real:set_real
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f3830>, <kernel.Constant object at 0x21f35a8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bot_bot_set_set_nat:set_set_nat
% 0.56/0.75 FOF formula (<kernel.Constant object at 0x21f37e8>, <kernel.Constant object at 0x21f3518>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bot_bo8194388402131092736T_VEBT:set_VEBT_VEBT
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f38c0>, <kernel.DependentProduct object at 0x21f3a28>) of role type named sy_c_Orderings_Oord__class_OLeast_001t__Nat__Onat
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_Least_nat:((nat->Prop)->nat)
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3878>, <kernel.DependentProduct object at 0x21f3ab8>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_complex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3a28>, <kernel.DependentProduct object at 0x21f3b00>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Int__Oint_M_Eo_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3ab8>, <kernel.DependentProduct object at 0x21f3b48>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Nat__Onat_M_Eo_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3b00>, <kernel.DependentProduct object at 0x21f3b90>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Real__Oreal_M_Eo_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3b48>, <kernel.DependentProduct object at 0x21f3bd8>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_set_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3b00>, <kernel.DependentProduct object at 0x21f3b48>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3bd8>, <kernel.DependentProduct object at 0x21f3b00>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3c20>, <kernel.DependentProduct object at 0x21f3b48>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_int:(int->(int->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3cb0>, <kernel.DependentProduct object at 0x21f3bd8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3b90>, <kernel.DependentProduct object at 0x21f3c20>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_num:(num->(num->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f37e8>, <kernel.DependentProduct object at 0x21f3cb0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3b00>, <kernel.DependentProduct object at 0x21f3b90>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_real:(real->(real->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3b48>, <kernel.DependentProduct object at 0x21f37e8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_I_Eo_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_set_o:(set_o->(set_o->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3b00>, <kernel.DependentProduct object at 0x21f3b48>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_le1307284697595431911nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3c20>, <kernel.DependentProduct object at 0x21f37e8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3ef0>, <kernel.DependentProduct object at 0x21f3b00>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3b90>, <kernel.DependentProduct object at 0x21f3c20>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3bd8>, <kernel.DependentProduct object at 0x21f3ef0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3b48>, <kernel.DependentProduct object at 0x21f6098>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_set_set_nat:(set_set_nat->(set_set_nat->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3bd8>, <kernel.DependentProduct object at 0x21f60e0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_le3480810397992357184T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3c20>, <kernel.DependentProduct object at 0x21f61b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_le4573692005234683329plex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3bd8>, <kernel.DependentProduct object at 0x21f6248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_Eo_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_eq_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3b00>, <kernel.DependentProduct object at 0x21f6290>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_Eo_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_eq_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f3bd8>, <kernel.DependentProduct object at 0x21f62d8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Real__Oreal_M_Eo_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_eq_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f6290>, <kernel.DependentProduct object at 0x21f6320>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_le3964352015994296041_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f6248>, <kernel.DependentProduct object at 0x21f6128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f6200>, <kernel.DependentProduct object at 0x21f6248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f6128>, <kernel.DependentProduct object at 0x21f6200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_le2510731241096832064er_nat:(filter_nat->(filter_nat->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f6248>, <kernel.DependentProduct object at 0x21f6128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Real__Oreal_J
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_le4104064031414453916r_real:(filter_real->(filter_real->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f64d0>, <kernel.DependentProduct object at 0x21f6200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.56/0.76 Using role type
% 0.56/0.76 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.56/0.76 FOF formula (<kernel.Constant object at 0x21f6560>, <kernel.DependentProduct object at 0x21f6248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f63b0>, <kernel.DependentProduct object at 0x21f64d0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6440>, <kernel.DependentProduct object at 0x21f6560>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6128>, <kernel.DependentProduct object at 0x21f63b0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6200>, <kernel.DependentProduct object at 0x21f6440>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_Eo_J
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring ord_less_eq_set_o:(set_o->(set_o->Prop))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6128>, <kernel.DependentProduct object at 0x21f6200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring ord_le7084787975880047091nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6440>, <kernel.DependentProduct object at 0x21f6128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f67a0>, <kernel.DependentProduct object at 0x21f6200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6440>, <kernel.DependentProduct object at 0x21f67a0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring ord_le6045566169113846134st_nat:(set_list_nat->(set_list_nat->Prop))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6248>, <kernel.DependentProduct object at 0x21f6200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6908>, <kernel.DependentProduct object at 0x21f6440>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6248>, <kernel.DependentProduct object at 0x21f6908>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring ord_le6893508408891458716et_nat:(set_set_nat->(set_set_nat->Prop))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6440>, <kernel.DependentProduct object at 0x21f6248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6a28>, <kernel.DependentProduct object at 0x21f6908>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Code____Numeral__Ointeger
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring ord_max_Code_integer:(code_integer->(code_integer->code_integer))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6440>, <kernel.DependentProduct object at 0x21f6a28>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Extended____Nat__Oenat
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring ord_ma741700101516333627d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6b48>, <kernel.DependentProduct object at 0x21f6908>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring ord_max_int:(int->(int->int))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6b00>, <kernel.DependentProduct object at 0x21f6440>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring ord_max_nat:(nat->(nat->nat))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6c20>, <kernel.DependentProduct object at 0x21f6a70>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Int__Oint
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring order_Greatest_int:((int->Prop)->int)
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6a28>, <kernel.DependentProduct object at 0x21f6ab8>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Nat__Onat
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring order_Greatest_nat:((nat->Prop)->nat)
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6908>, <kernel.DependentProduct object at 0x21f6cf8>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Num__Onum
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring order_Greatest_num:((num->Prop)->num)
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6cb0>, <kernel.DependentProduct object at 0x21f6d40>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Rat__Orat
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring order_Greatest_rat:((rat->Prop)->rat)
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6b48>, <kernel.DependentProduct object at 0x21f6d88>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Real__Oreal
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring order_Greatest_real:((real->Prop)->real)
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6cb0>, <kernel.DependentProduct object at 0x21f6dd0>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Set__Oset_It__Int__Oint_J
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring order_1546957118920008137et_int:((set_int->Prop)->set_int)
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6d88>, <kernel.DependentProduct object at 0x21f6e18>) of role type named sy_c_Orderings_Oorder__class_Oantimono_001t__Nat__Onat_001t__Real__Oreal
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring order_9091379641038594480t_real:((nat->real)->Prop)
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6b00>, <kernel.Constant object at 0x21f6e18>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_Eo_J
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring top_top_set_o:set_o
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6a28>, <kernel.Constant object at 0x21f6e18>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Int__Oint_J
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring top_top_set_int:set_int
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6cb0>, <kernel.Constant object at 0x21f6e18>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring top_top_set_nat:set_nat
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6ea8>, <kernel.Constant object at 0x21f6e18>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring top_top_set_real:set_real
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6ef0>, <kernel.Constant object at 0x21f6e18>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring top_top_set_char:set_char
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6ea8>, <kernel.DependentProduct object at 0x21f6f38>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6bd8>, <kernel.DependentProduct object at 0x21f6f80>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring power_power_complex:(complex->(nat->complex))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6e18>, <kernel.DependentProduct object at 0x26011b8>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.56/0.77 Using role type
% 0.56/0.77 Declaring power_power_int:(int->(nat->int))
% 0.56/0.77 FOF formula (<kernel.Constant object at 0x21f6bd8>, <kernel.DependentProduct object at 0x2601200>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring power_power_nat:(nat->(nat->nat))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x21f6f80>, <kernel.DependentProduct object at 0x2601248>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring power_power_rat:(rat->(nat->rat))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x21f6bd8>, <kernel.DependentProduct object at 0x2601098>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring power_power_real:(real->(nat->real))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x26011b8>, <kernel.DependentProduct object at 0x2601050>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x2601290>, <kernel.DependentProduct object at 0x26012d8>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x2601368>, <kernel.DependentProduct object at 0x2601200>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x2601320>, <kernel.DependentProduct object at 0x2601290>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x26013f8>, <kernel.DependentProduct object at 0x2601368>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Num__Onum
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring product_Pair_nat_num:(nat->(num->product_prod_nat_num))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x2601170>, <kernel.DependentProduct object at 0x2601320>) of role type named sy_c_Product__Type_OPair_001t__Num__Onum_001t__Num__Onum
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring product_Pair_num_num:(num->(num->product_prod_num_num))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x26013f8>, <kernel.DependentProduct object at 0x2601170>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x2601320>, <kernel.DependentProduct object at 0x2601368>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x2601170>, <kernel.DependentProduct object at 0x2601098>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__String__Ochar
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring produc4188289175737317920o_char:((code_integer->(Prop->char))->(produc6271795597528267376eger_o->char))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x2601368>, <kernel.DependentProduct object at 0x26015f0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x2601098>, <kernel.DependentProduct object at 0x26015a8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x26015f0>, <kernel.DependentProduct object at 0x2601680>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring produc7336495610019696514er_num:((code_integer->(code_integer->num))->(produc8923325533196201883nteger->num))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x26015a8>, <kernel.DependentProduct object at 0x2601560>) 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
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x2601680>, <kernel.DependentProduct object at 0x26010e0>) 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
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x2601560>, <kernel.DependentProduct object at 0x26016c8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x26010e0>, <kernel.DependentProduct object at 0x26019e0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring produc8211389475949308722nt_int:((int->(int->int))->(product_prod_int_int->int))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x26016c8>, <kernel.DependentProduct object at 0x2601998>) 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
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x26019e0>, <kernel.DependentProduct object at 0x2601a28>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Option__Ooption_It__Nat__Onat_J
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring produc2484365769952853102on_nat:((nat->(nat->option_nat))->(product_prod_nat_nat->option_nat))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x2601998>, <kernel.DependentProduct object at 0x2601ab8>) 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
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x2601a28>, <kernel.DependentProduct object at 0x2601b48>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring produc3169358591047799142T_VEBT:((nat->(nat->vEBT_VEBT))->(product_prod_nat_nat->vEBT_VEBT))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x2601ab8>, <kernel.DependentProduct object at 0x2601bd8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Option__Ooption_It__Num__Onum_J
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring produc478579273971653890on_num:((nat->(num->option_num))->(product_prod_nat_num->option_num))
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x2601d40>, <kernel.DependentProduct object at 0x2601c68>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.56/0.78 FOF formula (<kernel.Constant object at 0x26018c0>, <kernel.DependentProduct object at 0x2601d88>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.56/0.78 Using role type
% 0.56/0.78 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x2601878>, <kernel.DependentProduct object at 0x2601dd0>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x2601bd8>, <kernel.DependentProduct object at 0x2601e18>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x2601c68>, <kernel.DependentProduct object at 0x2601e60>) of role type named sy_c_Rat_OFrct
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring frct:(product_prod_int_int->rat)
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x2601d88>, <kernel.DependentProduct object at 0x2601ea8>) of role type named sy_c_Rat_Onormalize
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x2601dd0>, <kernel.DependentProduct object at 0x2601ef0>) of role type named sy_c_Rat_Oquotient__of
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring quotient_of:(rat->product_prod_int_int)
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x2601d88>, <kernel.Constant object at 0x2601e60>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Complex__Ocomplex
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring real_V2521375963428798218omplex:set_complex
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x2601ef0>, <kernel.DependentProduct object at 0x2601fc8>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x2601e60>, <kernel.DependentProduct object at 0x25e6098>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring real_V7735802525324610683m_real:(real->real)
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x2601fc8>, <kernel.DependentProduct object at 0x25e6128>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x2601fc8>, <kernel.DependentProduct object at 0x25e61b8>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Real__Oreal
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring real_V1803761363581548252l_real:(real->real)
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x2601ef0>, <kernel.DependentProduct object at 0x25e6200>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e6050>, <kernel.DependentProduct object at 0x25e6290>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x2601ef0>, <kernel.DependentProduct object at 0x25e6098>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring divide_divide_int:(int->(int->int))
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x2601ef0>, <kernel.DependentProduct object at 0x25e6128>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e63b0>, <kernel.DependentProduct object at 0x25e6248>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e6170>, <kernel.DependentProduct object at 0x25e6050>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring divide_divide_real:(real->(real->real))
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e62d8>, <kernel.DependentProduct object at 0x25e63b0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e6368>, <kernel.DependentProduct object at 0x25e6170>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e6128>, <kernel.DependentProduct object at 0x25e62d8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e6248>, <kernel.DependentProduct object at 0x25e6368>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e6050>, <kernel.DependentProduct object at 0x25e6128>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e63b0>, <kernel.DependentProduct object at 0x25e6248>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e6050>, <kernel.DependentProduct object at 0x25e63b0>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e6290>, <kernel.DependentProduct object at 0x25e6248>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring modulo_modulo_int:(int->(int->int))
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e6170>, <kernel.DependentProduct object at 0x25e6050>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e6290>, <kernel.DependentProduct object at 0x25e67a0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e6050>, <kernel.DependentProduct object at 0x25e62d8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e67a0>, <kernel.DependentProduct object at 0x25e6830>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e62d8>, <kernel.DependentProduct object at 0x25e68c0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e6830>, <kernel.DependentProduct object at 0x25e6950>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e68c0>, <kernel.DependentProduct object at 0x25e69e0>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e6830>, <kernel.DependentProduct object at 0x25e6950>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring suminf_complex:((nat->complex)->complex)
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e6320>, <kernel.DependentProduct object at 0x25e6830>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring suminf_int:((nat->int)->int)
% 0.56/0.79 FOF formula (<kernel.Constant object at 0x25e6a28>, <kernel.DependentProduct object at 0x25e6950>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.56/0.79 Using role type
% 0.56/0.79 Declaring suminf_nat:((nat->nat)->nat)
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6b00>, <kernel.DependentProduct object at 0x25e68c0>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring suminf_real:((nat->real)->real)
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6b90>, <kernel.DependentProduct object at 0x25e6950>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring summable_complex:((nat->complex)->Prop)
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6b48>, <kernel.DependentProduct object at 0x25e6320>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring summable_int:((nat->int)->Prop)
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6a70>, <kernel.DependentProduct object at 0x25e6b00>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring summable_nat:((nat->nat)->Prop)
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6bd8>, <kernel.DependentProduct object at 0x25e6b90>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring summable_real:((nat->real)->Prop)
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6c20>, <kernel.DependentProduct object at 0x25e6c68>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e62d8>, <kernel.DependentProduct object at 0x25e6cf8>) of role type named sy_c_Series_Osums_001t__Int__Oint
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring sums_int:((nat->int)->(int->Prop))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6b90>, <kernel.DependentProduct object at 0x25e6b00>) of role type named sy_c_Series_Osums_001t__Nat__Onat
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring sums_nat:((nat->nat)->(nat->Prop))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6cb0>, <kernel.DependentProduct object at 0x25e6d88>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring sums_real:((nat->real)->(real->Prop))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6b00>, <kernel.DependentProduct object at 0x25e6e60>) of role type named sy_c_Set_OCollect_001_Eo
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring collect_o:((Prop->Prop)->set_o)
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6bd8>, <kernel.DependentProduct object at 0x25e62d8>) of role type named sy_c_Set_OCollect_001t__Code____Numeral__Ointeger
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring collect_Code_integer:((code_integer->Prop)->set_Code_integer)
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6d88>, <kernel.DependentProduct object at 0x25e6ea8>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6cf8>, <kernel.DependentProduct object at 0x25e6f38>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring collect_int:((int->Prop)->set_int)
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6b90>, <kernel.DependentProduct object at 0x25e6d88>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6c68>, <kernel.DependentProduct object at 0x25e6fc8>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6ea8>, <kernel.DependentProduct object at 0x25e6d88>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6f38>, <kernel.DependentProduct object at 0x25ea0e0>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring collect_real:((real->Prop)->set_real)
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6f80>, <kernel.DependentProduct object at 0x25ea050>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring collect_set_nat:((set_nat->Prop)->set_set_nat)
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6fc8>, <kernel.DependentProduct object at 0x25ea128>) of role type named sy_c_Set_OCollect_001t__VEBT____Definitions__OVEBT
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring collect_VEBT_VEBT:((vEBT_VEBT->Prop)->set_VEBT_VEBT)
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6b00>, <kernel.DependentProduct object at 0x25ea1b8>) of role type named sy_c_Set_OPow_001t__Nat__Onat
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring pow_nat:(set_nat->set_set_nat)
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6c68>, <kernel.DependentProduct object at 0x25ea050>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6ea8>, <kernel.DependentProduct object at 0x25ea050>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Nat__Onat
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring image_int_nat:((int->nat)->(set_int->set_nat))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6c68>, <kernel.DependentProduct object at 0x25ea050>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Int__Oint
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring image_nat_int:((nat->int)->(set_nat->set_int))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6b00>, <kernel.DependentProduct object at 0x25ea200>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25e6b00>, <kernel.DependentProduct object at 0x25ea0e0>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Real__Oreal
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring image_nat_real:((nat->real)->(set_nat->set_real))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25ea290>, <kernel.DependentProduct object at 0x25ea1b8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring image_nat_set_nat:((nat->set_nat)->(set_nat->set_set_nat))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25ea128>, <kernel.DependentProduct object at 0x25ea170>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25ea248>, <kernel.DependentProduct object at 0x25ea098>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25ea290>, <kernel.DependentProduct object at 0x25ea050>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25ea128>, <kernel.DependentProduct object at 0x25ea200>) of role type named sy_c_Set_Oimage_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring image_VEBT_VEBT_nat:((vEBT_VEBT->nat)->(set_VEBT_VEBT->set_nat))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25ea248>, <kernel.DependentProduct object at 0x25ea200>) of role type named sy_c_Set_Oinsert_001_Eo
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring insert_o:(Prop->(set_o->set_o))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25ea4d0>, <kernel.DependentProduct object at 0x25ea128>) of role type named sy_c_Set_Oinsert_001t__Complex__Ocomplex
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring insert_complex:(complex->(set_complex->set_complex))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25ea2d8>, <kernel.DependentProduct object at 0x25ea4d0>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring insert_int:(int->(set_int->set_int))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25ea0e0>, <kernel.DependentProduct object at 0x25ea248>) of role type named sy_c_Set_Oinsert_001t__List__Olist_It__Nat__Onat_J
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring insert_list_nat:(list_nat->(set_list_nat->set_list_nat))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25ea290>, <kernel.DependentProduct object at 0x25ea0e0>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.63/0.80 Using role type
% 0.63/0.80 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.63/0.80 FOF formula (<kernel.Constant object at 0x25ea5f0>, <kernel.DependentProduct object at 0x25ea248>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring insert_real:(real->(set_real->set_real))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ea638>, <kernel.DependentProduct object at 0x25ea128>) of role type named sy_c_Set_Oinsert_001t__Set__Oset_It__Nat__Onat_J
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring insert_set_nat:(set_nat->(set_set_nat->set_set_nat))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ea6c8>, <kernel.DependentProduct object at 0x25ea290>) of role type named sy_c_Set_Oinsert_001t__VEBT____Definitions__OVEBT
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring insert_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ea560>, <kernel.DependentProduct object at 0x25ea710>) of role type named sy_c_Set_Othe__elem_001_Eo
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring the_elem_o:(set_o->Prop)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ea4d0>, <kernel.DependentProduct object at 0x25ea758>) of role type named sy_c_Set_Othe__elem_001t__Int__Oint
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring the_elem_int:(set_int->int)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ea638>, <kernel.DependentProduct object at 0x25ea7a0>) of role type named sy_c_Set_Othe__elem_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring the_elem_nat:(set_nat->nat)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ea0e0>, <kernel.DependentProduct object at 0x25ea710>) of role type named sy_c_Set_Othe__elem_001t__Real__Oreal
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring the_elem_real:(set_real->real)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ea7a0>, <kernel.DependentProduct object at 0x25ea7e8>) of role type named sy_c_Set_Othe__elem_001t__VEBT____Definitions__OVEBT
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring the_elem_VEBT_VEBT:(set_VEBT_VEBT->vEBT_VEBT)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ea0e0>, <kernel.DependentProduct object at 0x25ea830>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Code____Numeral__Ointeger
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_fo1084959871951514735nteger:((nat->(code_integer->code_integer))->(nat->(nat->(code_integer->code_integer))))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ea7e8>, <kernel.DependentProduct object at 0x25ea638>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Complex__Ocomplex
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_fo1517530859248394432omplex:((nat->(complex->complex))->(nat->(nat->(complex->complex))))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ea830>, <kernel.DependentProduct object at 0x25ea710>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Int__Oint
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_fo2581907887559384638at_int:((nat->(int->int))->(nat->(nat->(int->int))))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ea638>, <kernel.DependentProduct object at 0x25ea6c8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ea710>, <kernel.DependentProduct object at 0x25ea0e0>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Rat__Orat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_fo1949268297981939178at_rat:((nat->(rat->rat))->(nat->(nat->(rat->rat))))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ea6c8>, <kernel.DependentProduct object at 0x25eaa28>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Real__Oreal
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_fo3111899725591712190t_real:((nat->(real->real))->(nat->(nat->(real->real))))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ea0e0>, <kernel.DependentProduct object at 0x25ea6c8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25eaa28>, <kernel.DependentProduct object at 0x25ea0e0>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ea6c8>, <kernel.DependentProduct object at 0x25eaa28>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ea0e0>, <kernel.DependentProduct object at 0x25ea6c8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25eaa28>, <kernel.DependentProduct object at 0x25ea0e0>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25eaab8>, <kernel.DependentProduct object at 0x25ea1b8>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ead40>, <kernel.DependentProduct object at 0x25eaea8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Int__Oint
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_ord_atMost_int:(int->set_int)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25eadd0>, <kernel.DependentProduct object at 0x25eaef0>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ead40>, <kernel.DependentProduct object at 0x25eadd0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25eaef0>, <kernel.DependentProduct object at 0x25ead40>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25eadd0>, <kernel.DependentProduct object at 0x25ea0e0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ead40>, <kernel.DependentProduct object at 0x25eaa28>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ead40>, <kernel.DependentProduct object at 0x25ed170>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ead40>, <kernel.DependentProduct object at 0x25ed248>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25eafc8>, <kernel.DependentProduct object at 0x25ed2d8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Int__Oint
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_ord_lessThan_int:(int->set_int)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ead40>, <kernel.DependentProduct object at 0x25ed320>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ed2d8>, <kernel.DependentProduct object at 0x25ed368>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25eadd0>, <kernel.DependentProduct object at 0x25ed3f8>) of role type named sy_c_String_Oascii__of
% 0.63/0.81 Using role type
% 0.63/0.81 Declaring ascii_of:(char->char)
% 0.63/0.81 FOF formula (<kernel.Constant object at 0x25ed368>, <kernel.DependentProduct object at 0x25ed440>) of role type named sy_c_String_Ochar_OChar
% 0.63/0.81 Using role type
% 0.63/0.82 Declaring char2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->char))))))))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ed098>, <kernel.DependentProduct object at 0x25ed560>) of role type named sy_c_String_Ochar_Osize__char
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring size_char:(char->nat)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ed3b0>, <kernel.DependentProduct object at 0x25ed248>) of role type named sy_c_String_Ochar__of__integer
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring char_of_integer:(code_integer->char)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ed320>, <kernel.DependentProduct object at 0x25ed440>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ed050>, <kernel.DependentProduct object at 0x25ed3f8>) of role type named sy_c_String_Ointeger__of__char
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring integer_of_char:(char->code_integer)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ed3b0>, <kernel.DependentProduct object at 0x25ed320>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ed050>, <kernel.DependentProduct object at 0x25ed710>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ed320>, <kernel.DependentProduct object at 0x25ed3b0>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Code____Numeral__Ointeger
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring topolo2919662092509805066nteger:((nat->code_integer)->Prop)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ed710>, <kernel.DependentProduct object at 0x25ed758>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Int__Oint
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring topolo4899668324122417113eq_int:((nat->int)->Prop)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ed3b0>, <kernel.DependentProduct object at 0x25ed7e8>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Nat__Onat
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring topolo4902158794631467389eq_nat:((nat->nat)->Prop)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ed758>, <kernel.DependentProduct object at 0x25ed878>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Num__Onum
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring topolo1459490580787246023eq_num:((nat->num)->Prop)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ed7e8>, <kernel.DependentProduct object at 0x25ed908>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Rat__Orat
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring topolo4267028734544971653eq_rat:((nat->rat)->Prop)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ed878>, <kernel.DependentProduct object at 0x25ed998>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ed908>, <kernel.DependentProduct object at 0x25eda28>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Set__Oset_It__Int__Oint_J
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring topolo3100542954746470799et_int:((nat->set_int)->Prop)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ed998>, <kernel.DependentProduct object at 0x25ed908>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25eda28>, <kernel.DependentProduct object at 0x25ed680>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ed908>, <kernel.DependentProduct object at 0x25edbd8>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Complex__Ocomplex
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring topolo6517432010174082258omplex:((nat->complex)->Prop)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ed680>, <kernel.DependentProduct object at 0x25edc68>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25edb00>, <kernel.DependentProduct object at 0x25edd40>) of role type named sy_c_Transcendental_Oarccos
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring arccos:(real->real)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ed878>, <kernel.DependentProduct object at 0x25edd88>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring arcosh_real:(real->real)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25edb48>, <kernel.DependentProduct object at 0x25eddd0>) of role type named sy_c_Transcendental_Oarcsin
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring arcsin:(real->real)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25edc68>, <kernel.DependentProduct object at 0x25ede18>) of role type named sy_c_Transcendental_Oarctan
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring arctan:(real->real)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25edd40>, <kernel.DependentProduct object at 0x25ede60>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring arsinh_real:(real->real)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25edd88>, <kernel.DependentProduct object at 0x25edea8>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring artanh_real:(real->real)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25eddd0>, <kernel.DependentProduct object at 0x25edef0>) of role type named sy_c_Transcendental_Ocos_001t__Complex__Ocomplex
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring cos_complex:(complex->complex)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ede18>, <kernel.DependentProduct object at 0x25edf38>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring cos_real:(real->real)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ed488>, <kernel.DependentProduct object at 0x25edfc8>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring cos_coeff:(nat->real)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25edef0>, <kernel.DependentProduct object at 0x25ede18>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring cosh_real:(real->real)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25edfc8>, <kernel.DependentProduct object at 0x25ef050>) of role type named sy_c_Transcendental_Ocot_001t__Complex__Ocomplex
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring cot_complex:(complex->complex)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25edd40>, <kernel.DependentProduct object at 0x25ef098>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring cot_real:(real->real)
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25ede18>, <kernel.DependentProduct object at 0x25eddd0>) of role type named sy_c_Transcendental_Odiffs_001t__Code____Numeral__Ointeger
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring diffs_Code_integer:((nat->code_integer)->(nat->code_integer))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25edfc8>, <kernel.DependentProduct object at 0x25edd40>) of role type named sy_c_Transcendental_Odiffs_001t__Complex__Ocomplex
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring diffs_complex:((nat->complex)->(nat->complex))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25edef0>, <kernel.DependentProduct object at 0x25ef098>) of role type named sy_c_Transcendental_Odiffs_001t__Int__Oint
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring diffs_int:((nat->int)->(nat->int))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25edfc8>, <kernel.DependentProduct object at 0x25ef098>) of role type named sy_c_Transcendental_Odiffs_001t__Rat__Orat
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring diffs_rat:((nat->rat)->(nat->rat))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25edd40>, <kernel.DependentProduct object at 0x25ef098>) of role type named sy_c_Transcendental_Odiffs_001t__Real__Oreal
% 0.63/0.82 Using role type
% 0.63/0.82 Declaring diffs_real:((nat->real)->(nat->real))
% 0.63/0.82 FOF formula (<kernel.Constant object at 0x25edfc8>, <kernel.DependentProduct object at 0x25ef170>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring exp_complex:(complex->complex)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25edef0>, <kernel.DependentProduct object at 0x25ef050>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring exp_real:(real->real)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25edef0>, <kernel.DependentProduct object at 0x25ef2d8>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring ln_ln_real:(real->real)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef1b8>, <kernel.DependentProduct object at 0x25ef0e0>) of role type named sy_c_Transcendental_Olog
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring log:(real->(real->real))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef320>, <kernel.Constant object at 0x25ef0e0>) of role type named sy_c_Transcendental_Opi
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring pi:real
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef2d8>, <kernel.DependentProduct object at 0x25ef1b8>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring powr_real:(real->(real->real))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef170>, <kernel.DependentProduct object at 0x25ef3f8>) of role type named sy_c_Transcendental_Osin_001t__Complex__Ocomplex
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring sin_complex:(complex->complex)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef098>, <kernel.DependentProduct object at 0x25ef050>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring sin_real:(real->real)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef290>, <kernel.DependentProduct object at 0x25ef4d0>) of role type named sy_c_Transcendental_Osin__coeff
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring sin_coeff:(nat->real)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef3f8>, <kernel.DependentProduct object at 0x25ef098>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring sinh_real:(real->real)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef4d0>, <kernel.DependentProduct object at 0x25ef518>) of role type named sy_c_Transcendental_Otan_001t__Complex__Ocomplex
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring tan_complex:(complex->complex)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef320>, <kernel.DependentProduct object at 0x25ef560>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring tan_real:(real->real)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef290>, <kernel.DependentProduct object at 0x25ef5a8>) of role type named sy_c_Transcendental_Otanh_001t__Complex__Ocomplex
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring tanh_complex:(complex->complex)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef098>, <kernel.DependentProduct object at 0x25ef5f0>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring tanh_real:(real->real)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef518>, <kernel.DependentProduct object at 0x25ef290>) 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
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring vEBT_T_i_n_s_e_r_t:(vEBT_VEBT->(nat->nat))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef638>, <kernel.DependentProduct object at 0x25ef098>) 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
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring vEBT_T_i_n_s_e_r_t2:(vEBT_VEBT->(nat->nat))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef518>, <kernel.DependentProduct object at 0x25ef5f0>) 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
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring vEBT_T5076183648494686801_t_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef098>, <kernel.DependentProduct object at 0x25ef4d0>) 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
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring vEBT_T9217963907923527482_t_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef638>, <kernel.DependentProduct object at 0x25ef7e8>) 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
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring vEBT_T_m_a_x_t:(vEBT_VEBT->nat)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef5a8>, <kernel.DependentProduct object at 0x25ef098>) 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
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring vEBT_T_m_e_m_b_e_r:(vEBT_VEBT->(nat->nat))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef830>, <kernel.DependentProduct object at 0x25ef638>) 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
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring vEBT_T_m_e_m_b_e_r2:(vEBT_VEBT->(nat->nat))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef5a8>, <kernel.DependentProduct object at 0x25ef7e8>) 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
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring vEBT_T8099345112685741742_r_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef638>, <kernel.DependentProduct object at 0x25ef518>) 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
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring vEBT_T5837161174952499735_r_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef830>, <kernel.DependentProduct object at 0x25ef9e0>) 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
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring vEBT_T_m_i_n_N_u_l_l:(vEBT_VEBT->nat)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef4d0>, <kernel.DependentProduct object at 0x25efa28>) 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
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring vEBT_T_m_i_n_t:(vEBT_VEBT->nat)
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef098>, <kernel.DependentProduct object at 0x25ef830>) 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
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring vEBT_T_m_i_n_t_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25ef7e8>, <kernel.DependentProduct object at 0x25ef4d0>) 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
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring vEBT_T_p_r_e_d:(vEBT_VEBT->(nat->nat))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25efa70>, <kernel.DependentProduct object at 0x25ef098>) 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
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring vEBT_T_p_r_e_d2:(vEBT_VEBT->(nat->nat))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25efb00>, <kernel.DependentProduct object at 0x25ef098>) 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
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring vEBT_T_p_r_e_d_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.63/0.83 FOF formula (<kernel.Constant object at 0x25efb90>, <kernel.DependentProduct object at 0x25ef098>) 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
% 0.63/0.83 Using role type
% 0.63/0.83 Declaring vEBT_T_p_r_e_d_rel2:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25efa28>, <kernel.DependentProduct object at 0x25efb00>) 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
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_T_s_u_c_c:(vEBT_VEBT->(nat->nat))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25efa70>, <kernel.DependentProduct object at 0x25efb90>) 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
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_T_s_u_c_c2:(vEBT_VEBT->(nat->nat))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25efc20>, <kernel.DependentProduct object at 0x25efb90>) 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
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_T_s_u_c_c_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25efcb0>, <kernel.DependentProduct object at 0x25efb90>) 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
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_T_s_u_c_c_rel2:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25ef0e0>, <kernel.DependentProduct object at 0x25efa70>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25ef7e8>, <kernel.DependentProduct object at 0x25efb90>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25efdd0>, <kernel.DependentProduct object at 0x25efcb0>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25ef0e0>, <kernel.DependentProduct object at 0x25efdd0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25efe60>, <kernel.DependentProduct object at 0x25efcb0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25efe18>, <kernel.DependentProduct object at 0x25ef0e0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25eff38>, <kernel.DependentProduct object at 0x25efe60>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25efe18>, <kernel.DependentProduct object at 0x25efcb0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25efe60>, <kernel.DependentProduct object at 0x25efe18>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25efcb0>, <kernel.DependentProduct object at 0x25f2098>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25efcf8>, <kernel.DependentProduct object at 0x25f2128>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25efe60>, <kernel.DependentProduct object at 0x25f2170>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25efcb0>, <kernel.DependentProduct object at 0x25f21b8>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25efe60>, <kernel.DependentProduct object at 0x25f2050>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25efcb0>, <kernel.DependentProduct object at 0x25f21b8>) 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
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_T_d_e_l_e_t_e:(vEBT_VEBT->(nat->nat))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f2290>, <kernel.DependentProduct object at 0x25f20e0>) 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
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_T8441311223069195367_e_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f2200>, <kernel.DependentProduct object at 0x25f2050>) of role type named sy_c_VEBT__DeleteBounds_OVEBT__internal_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_H
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_V1232361888498592333_e_t_e:(vEBT_VEBT->(nat->nat))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f2320>, <kernel.DependentProduct object at 0x25f2098>) of role type named sy_c_VEBT__DeleteBounds_OVEBT__internal_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_H__rel
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_V6368547301243506412_e_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f22d8>, <kernel.DependentProduct object at 0x25f2320>) of role type named sy_c_VEBT__Delete_Ovebt__delete
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_vebt_delete:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f24d0>, <kernel.DependentProduct object at 0x25f22d8>) of role type named sy_c_VEBT__Delete_Ovebt__delete__rel
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_vebt_delete_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f2200>, <kernel.DependentProduct object at 0x25f2050>) of role type named sy_c_VEBT__Height_OVEBT__internal_Oheight
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_VEBT_height:(vEBT_VEBT->nat)
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f23f8>, <kernel.DependentProduct object at 0x25f24d0>) of role type named sy_c_VEBT__Height_OVEBT__internal_Oheight__rel
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_VEBT_height_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f2518>, <kernel.DependentProduct object at 0x25f2200>) of role type named sy_c_VEBT__InsertCorrectness_OVEBT__internal_Oinsert_H
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_VEBT_insert:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f2170>, <kernel.DependentProduct object at 0x25f2200>) of role type named sy_c_VEBT__InsertCorrectness_OVEBT__internal_Oinsert_H__rel
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_VEBT_insert_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f23b0>, <kernel.DependentProduct object at 0x25f2170>) of role type named sy_c_VEBT__Insert_Ovebt__insert
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_vebt_insert:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f2680>, <kernel.DependentProduct object at 0x25f23b0>) of role type named sy_c_VEBT__Insert_Ovebt__insert__rel
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_vebt_insert_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f22d8>, <kernel.DependentProduct object at 0x25f2200>) of role type named sy_c_VEBT__Intf__Functional_Oexperiment7207664_Otest
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_Intf_test:(nat->(list_nat->(list_nat->list_nat)))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f25f0>, <kernel.DependentProduct object at 0x25f2680>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f27e8>, <kernel.DependentProduct object at 0x25f2710>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f22d8>, <kernel.DependentProduct object at 0x25f2830>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f2638>, <kernel.DependentProduct object at 0x25f22d8>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f25f0>, <kernel.DependentProduct object at 0x25f2638>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f2710>, <kernel.DependentProduct object at 0x25f2830>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oadd
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_VEBT_add:(option_nat->(option_nat->option_nat))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f27e8>, <kernel.DependentProduct object at 0x25f25f0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ogreater
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_VEBT_greater:(option_nat->(option_nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f2518>, <kernel.DependentProduct object at 0x25f2710>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oless
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_VEBT_less:(option_nat->(option_nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f2878>, <kernel.DependentProduct object at 0x25f27e8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omax__in__set
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_VEBT_max_in_set:(set_nat->(nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f2638>, <kernel.DependentProduct object at 0x25f2518>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omin__in__set
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_VEBT_min_in_set:(set_nat->(nat->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f2830>, <kernel.DependentProduct object at 0x25f2878>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omul
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_VEBT_mul:(option_nat->(option_nat->option_nat))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f28c0>, <kernel.DependentProduct object at 0x25f2638>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Opower
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_VEBT_power:(option_nat->(option_nat->option_nat))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f2200>, <kernel.DependentProduct object at 0x25f27e8>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_vebt_maxt:(vEBT_VEBT->option_nat)
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f2a28>, <kernel.DependentProduct object at 0x25f2638>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt__rel
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_vebt_maxt_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f2878>, <kernel.DependentProduct object at 0x25f2b00>) of role type named sy_c_VEBT__MinMax_Ovebt__mint
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_vebt_mint:(vEBT_VEBT->option_nat)
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f2710>, <kernel.DependentProduct object at 0x25f2a28>) of role type named sy_c_VEBT__MinMax_Ovebt__mint__rel
% 0.63/0.84 Using role type
% 0.63/0.84 Declaring vEBT_vebt_mint_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.63/0.84 FOF formula (<kernel.Constant object at 0x25f2518>, <kernel.DependentProduct object at 0x25f2878>) of role type named sy_c_VEBT__Pred_Ois__pred__in__set
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring vEBT_is_pred_in_set:(set_nat->(nat->(nat->Prop)))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x25f2c20>, <kernel.DependentProduct object at 0x25f2830>) of role type named sy_c_VEBT__Pred_Ovebt__pred
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring vEBT_vebt_pred:(vEBT_VEBT->(nat->option_nat))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x25f2b48>, <kernel.DependentProduct object at 0x25f2b00>) of role type named sy_c_VEBT__Pred_Ovebt__pred__rel
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring vEBT_vebt_pred_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x25f2710>, <kernel.DependentProduct object at 0x25f2c68>) of role type named sy_c_VEBT__Space_OVEBT__internal_OT_092_060_094sub_062b_092_060_094sub_062u_092_060_094sub_062i_092_060_094sub_062l_092_060_094sub_062d
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring vEBT_V8646137997579335489_i_l_d:(nat->nat)
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x25f2b48>, <kernel.DependentProduct object at 0x25f2cf8>) of role type named sy_c_VEBT__Space_OVEBT__internal_OT_092_060_094sub_062b_092_060_094sub_062u_092_060_094sub_062i_092_060_094sub_062l_092_060_094sub_062d_092_060_094sub_062u_092_060_094sub_062p
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring vEBT_V8346862874174094_d_u_p:(nat->nat)
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x25f2c68>, <kernel.DependentProduct object at 0x25f2b48>) of role type named sy_c_VEBT__Space_OVEBT__internal_OT_092_060_094sub_062b_092_060_094sub_062u_092_060_094sub_062i_092_060_094sub_062l_092_060_094sub_062d_092_060_094sub_062u_092_060_094sub_062p__rel
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring vEBT_V1247956027447740395_p_rel:(nat->(nat->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x25f2cf8>, <kernel.DependentProduct object at 0x25f2c68>) of role type named sy_c_VEBT__Space_OVEBT__internal_OT_092_060_094sub_062b_092_060_094sub_062u_092_060_094sub_062i_092_060_094sub_062l_092_060_094sub_062d__rel
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring vEBT_V5144397997797733112_d_rel:(nat->(nat->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x25f2dd0>, <kernel.DependentProduct object at 0x25f2ea8>) of role type named sy_c_VEBT__Space_OVEBT__internal_Ocnt
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring vEBT_VEBT_cnt:(vEBT_VEBT->real)
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x25f27e8>, <kernel.DependentProduct object at 0x25f2ef0>) of role type named sy_c_VEBT__Space_OVEBT__internal_Ocnt_H
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring vEBT_VEBT_cnt2:(vEBT_VEBT->nat)
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x25f2710>, <kernel.DependentProduct object at 0x25f2dd0>) of role type named sy_c_VEBT__Space_OVEBT__internal_Ocnt_H__rel
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring vEBT_VEBT_cnt_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x25f2b48>, <kernel.DependentProduct object at 0x25f27e8>) of role type named sy_c_VEBT__Space_OVEBT__internal_Ocnt__rel
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring vEBT_VEBT_cnt_rel2:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x25f2c68>, <kernel.DependentProduct object at 0x25f2f38>) of role type named sy_c_VEBT__Space_OVEBT__internal_Ospace
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring vEBT_VEBT_space:(vEBT_VEBT->nat)
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x25f2ef0>, <kernel.DependentProduct object at 0x2605050>) of role type named sy_c_VEBT__Space_OVEBT__internal_Ospace_H
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring vEBT_VEBT_space2:(vEBT_VEBT->nat)
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x25f2dd0>, <kernel.DependentProduct object at 0x2605050>) of role type named sy_c_VEBT__Space_OVEBT__internal_Ospace_H__rel
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring vEBT_VEBT_space_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x25f2b48>, <kernel.DependentProduct object at 0x26050e0>) of role type named sy_c_VEBT__Space_OVEBT__internal_Ospace__rel
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring vEBT_VEBT_space_rel2:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x25f2638>, <kernel.DependentProduct object at 0x2605098>) of role type named sy_c_VEBT__Succ_Ois__succ__in__set
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring vEBT_is_succ_in_set:(set_nat->(nat->(nat->Prop)))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x25f2b48>, <kernel.DependentProduct object at 0x2605170>) of role type named sy_c_VEBT__Succ_Ovebt__succ
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring vEBT_vebt_succ:(vEBT_VEBT->(nat->option_nat))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x25f2dd0>, <kernel.DependentProduct object at 0x2605170>) of role type named sy_c_VEBT__Succ_Ovebt__succ__rel
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring vEBT_vebt_succ_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x25f2f38>, <kernel.DependentProduct object at 0x26051b8>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x26050e0>, <kernel.DependentProduct object at 0x2605098>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x26051b8>, <kernel.DependentProduct object at 0x2605050>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x2605128>, <kernel.DependentProduct object at 0x26052d8>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring accp_P3113834385874906142um_num:((product_prod_num_num->(product_prod_num_num->Prop))->(product_prod_num_num->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x2605098>, <kernel.DependentProduct object at 0x2605050>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x2605170>, <kernel.DependentProduct object at 0x26051b8>) of role type named sy_c_Wellfounded_Oaccp_001t__VEBT____Definitions__OVEBT
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring accp_VEBT_VEBT:((vEBT_VEBT->(vEBT_VEBT->Prop))->(vEBT_VEBT->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x2605248>, <kernel.DependentProduct object at 0x2605518>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring fChoice_real:((real->Prop)->real)
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x2605128>, <kernel.DependentProduct object at 0x2605248>) of role type named sy_c_member_001_Eo
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring member_o:(Prop->(set_o->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x2605050>, <kernel.DependentProduct object at 0x2605128>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring member_complex:(complex->(set_complex->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x2605488>, <kernel.DependentProduct object at 0x26051b8>) of role type named sy_c_member_001t__Int__Oint
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring member_int:(int->(set_int->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x2605518>, <kernel.DependentProduct object at 0x2605248>) of role type named sy_c_member_001t__List__Olist_It__Nat__Onat_J
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring member_list_nat:(list_nat->(set_list_nat->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x2605128>, <kernel.DependentProduct object at 0x2605488>) of role type named sy_c_member_001t__Nat__Onat
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring member_nat:(nat->(set_nat->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x26053b0>, <kernel.DependentProduct object at 0x2605128>) of role type named sy_c_member_001t__Real__Oreal
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring member_real:(real->(set_real->Prop))
% 0.63/0.85 FOF formula (<kernel.Constant object at 0x2605680>, <kernel.DependentProduct object at 0x2605518>) of role type named sy_c_member_001t__Set__Oset_It__Nat__Onat_J
% 0.63/0.85 Using role type
% 0.63/0.85 Declaring member_set_nat:(set_nat->(set_set_nat->Prop))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x26051b8>, <kernel.DependentProduct object at 0x2605488>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2605128>, <kernel.Constant object at 0x2605488>) of role type named sy_v_n
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring n:nat
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2605518>, <kernel.Constant object at 0x2605488>) of role type named sy_v_xs
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring xs:list_nat
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2605050>, <kernel.Constant object at 0x2605488>) of role type named sy_v_ys
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring ys:list_nat
% 0.70/0.86 FOF formula (forall (A:real), (((eq Prop) ((ord_less_real zero_zero_real) ((power_power_real A) (numeral_numeral_nat (bit0 one))))) (not (((eq real) A) zero_zero_real)))) of role axiom named fact_0_zero__less__power2
% 0.70/0.86 A new axiom: (forall (A:real), (((eq Prop) ((ord_less_real zero_zero_real) ((power_power_real A) (numeral_numeral_nat (bit0 one))))) (not (((eq real) A) zero_zero_real))))
% 0.70/0.86 FOF formula (forall (A:rat), (((eq Prop) ((ord_less_rat zero_zero_rat) ((power_power_rat A) (numeral_numeral_nat (bit0 one))))) (not (((eq rat) A) zero_zero_rat)))) of role axiom named fact_1_zero__less__power2
% 0.70/0.86 A new axiom: (forall (A:rat), (((eq Prop) ((ord_less_rat zero_zero_rat) ((power_power_rat A) (numeral_numeral_nat (bit0 one))))) (not (((eq rat) A) zero_zero_rat))))
% 0.70/0.86 FOF formula (forall (A:int), (((eq Prop) ((ord_less_int zero_zero_int) ((power_power_int A) (numeral_numeral_nat (bit0 one))))) (not (((eq int) A) zero_zero_int)))) of role axiom named fact_2_zero__less__power2
% 0.70/0.86 A new axiom: (forall (A:int), (((eq Prop) ((ord_less_int zero_zero_int) ((power_power_int A) (numeral_numeral_nat (bit0 one))))) (not (((eq int) A) zero_zero_int))))
% 0.70/0.86 FOF formula (forall (A:real), (((eq Prop) ((ord_less_eq_real ((power_power_real A) (numeral_numeral_nat (bit0 one)))) zero_zero_real)) (((eq real) A) zero_zero_real))) of role axiom named fact_3_power2__less__eq__zero__iff
% 0.70/0.86 A new axiom: (forall (A:real), (((eq Prop) ((ord_less_eq_real ((power_power_real A) (numeral_numeral_nat (bit0 one)))) zero_zero_real)) (((eq real) A) zero_zero_real)))
% 0.70/0.86 FOF formula (forall (A:rat), (((eq Prop) ((ord_less_eq_rat ((power_power_rat A) (numeral_numeral_nat (bit0 one)))) zero_zero_rat)) (((eq rat) A) zero_zero_rat))) of role axiom named fact_4_power2__less__eq__zero__iff
% 0.70/0.86 A new axiom: (forall (A:rat), (((eq Prop) ((ord_less_eq_rat ((power_power_rat A) (numeral_numeral_nat (bit0 one)))) zero_zero_rat)) (((eq rat) A) zero_zero_rat)))
% 0.70/0.86 FOF formula (forall (A:int), (((eq Prop) ((ord_less_eq_int ((power_power_int A) (numeral_numeral_nat (bit0 one)))) zero_zero_int)) (((eq int) A) zero_zero_int))) of role axiom named fact_5_power2__less__eq__zero__iff
% 0.70/0.86 A new axiom: (forall (A:int), (((eq Prop) ((ord_less_eq_int ((power_power_int A) (numeral_numeral_nat (bit0 one)))) zero_zero_int)) (((eq int) A) zero_zero_int)))
% 0.70/0.86 FOF formula (forall (X:real) (Y:real), (((ord_less_eq_real zero_zero_real) X)->(((ord_less_eq_real zero_zero_real) Y)->(((eq Prop) (((eq real) ((power_power_real X) (numeral_numeral_nat (bit0 one)))) ((power_power_real Y) (numeral_numeral_nat (bit0 one))))) (((eq real) X) Y))))) of role axiom named fact_6_power2__eq__iff__nonneg
% 0.70/0.86 A new axiom: (forall (X:real) (Y:real), (((ord_less_eq_real zero_zero_real) X)->(((ord_less_eq_real zero_zero_real) Y)->(((eq Prop) (((eq real) ((power_power_real X) (numeral_numeral_nat (bit0 one)))) ((power_power_real Y) (numeral_numeral_nat (bit0 one))))) (((eq real) X) Y)))))
% 0.70/0.86 FOF formula (forall (X:rat) (Y:rat), (((ord_less_eq_rat zero_zero_rat) X)->(((ord_less_eq_rat zero_zero_rat) Y)->(((eq Prop) (((eq rat) ((power_power_rat X) (numeral_numeral_nat (bit0 one)))) ((power_power_rat Y) (numeral_numeral_nat (bit0 one))))) (((eq rat) X) Y))))) of role axiom named fact_7_power2__eq__iff__nonneg
% 0.70/0.86 A new axiom: (forall (X:rat) (Y:rat), (((ord_less_eq_rat zero_zero_rat) X)->(((ord_less_eq_rat zero_zero_rat) Y)->(((eq Prop) (((eq rat) ((power_power_rat X) (numeral_numeral_nat (bit0 one)))) ((power_power_rat Y) (numeral_numeral_nat (bit0 one))))) (((eq rat) X) Y)))))
% 0.71/0.87 FOF formula (forall (X:nat) (Y:nat), (((ord_less_eq_nat zero_zero_nat) X)->(((ord_less_eq_nat zero_zero_nat) Y)->(((eq Prop) (((eq nat) ((power_power_nat X) (numeral_numeral_nat (bit0 one)))) ((power_power_nat Y) (numeral_numeral_nat (bit0 one))))) (((eq nat) X) Y))))) of role axiom named fact_8_power2__eq__iff__nonneg
% 0.71/0.87 A new axiom: (forall (X:nat) (Y:nat), (((ord_less_eq_nat zero_zero_nat) X)->(((ord_less_eq_nat zero_zero_nat) Y)->(((eq Prop) (((eq nat) ((power_power_nat X) (numeral_numeral_nat (bit0 one)))) ((power_power_nat Y) (numeral_numeral_nat (bit0 one))))) (((eq nat) X) Y)))))
% 0.71/0.87 FOF formula (forall (X:int) (Y:int), (((ord_less_eq_int zero_zero_int) X)->(((ord_less_eq_int zero_zero_int) Y)->(((eq Prop) (((eq int) ((power_power_int X) (numeral_numeral_nat (bit0 one)))) ((power_power_int Y) (numeral_numeral_nat (bit0 one))))) (((eq int) X) Y))))) of role axiom named fact_9_power2__eq__iff__nonneg
% 0.71/0.87 A new axiom: (forall (X:int) (Y:int), (((ord_less_eq_int zero_zero_int) X)->(((ord_less_eq_int zero_zero_int) Y)->(((eq Prop) (((eq int) ((power_power_int X) (numeral_numeral_nat (bit0 one)))) ((power_power_int Y) (numeral_numeral_nat (bit0 one))))) (((eq int) X) Y)))))
% 0.71/0.87 FOF formula (forall (A:real) (B:real) (N:nat), (((ord_less_eq_real zero_zero_real) A)->(((ord_less_eq_real zero_zero_real) B)->(((ord_less_nat zero_zero_nat) N)->(((eq Prop) ((ord_less_eq_real ((power_power_real A) N)) ((power_power_real B) N))) ((ord_less_eq_real A) B)))))) of role axiom named fact_10_power__mono__iff
% 0.71/0.87 A new axiom: (forall (A:real) (B:real) (N:nat), (((ord_less_eq_real zero_zero_real) A)->(((ord_less_eq_real zero_zero_real) B)->(((ord_less_nat zero_zero_nat) N)->(((eq Prop) ((ord_less_eq_real ((power_power_real A) N)) ((power_power_real B) N))) ((ord_less_eq_real A) B))))))
% 0.71/0.87 FOF formula (forall (A:rat) (B:rat) (N:nat), (((ord_less_eq_rat zero_zero_rat) A)->(((ord_less_eq_rat zero_zero_rat) B)->(((ord_less_nat zero_zero_nat) N)->(((eq Prop) ((ord_less_eq_rat ((power_power_rat A) N)) ((power_power_rat B) N))) ((ord_less_eq_rat A) B)))))) of role axiom named fact_11_power__mono__iff
% 0.71/0.87 A new axiom: (forall (A:rat) (B:rat) (N:nat), (((ord_less_eq_rat zero_zero_rat) A)->(((ord_less_eq_rat zero_zero_rat) B)->(((ord_less_nat zero_zero_nat) N)->(((eq Prop) ((ord_less_eq_rat ((power_power_rat A) N)) ((power_power_rat B) N))) ((ord_less_eq_rat A) B))))))
% 0.71/0.87 FOF formula (forall (A:nat) (B:nat) (N:nat), (((ord_less_eq_nat zero_zero_nat) A)->(((ord_less_eq_nat zero_zero_nat) B)->(((ord_less_nat zero_zero_nat) N)->(((eq Prop) ((ord_less_eq_nat ((power_power_nat A) N)) ((power_power_nat B) N))) ((ord_less_eq_nat A) B)))))) of role axiom named fact_12_power__mono__iff
% 0.71/0.87 A new axiom: (forall (A:nat) (B:nat) (N:nat), (((ord_less_eq_nat zero_zero_nat) A)->(((ord_less_eq_nat zero_zero_nat) B)->(((ord_less_nat zero_zero_nat) N)->(((eq Prop) ((ord_less_eq_nat ((power_power_nat A) N)) ((power_power_nat B) N))) ((ord_less_eq_nat A) B))))))
% 0.71/0.87 FOF formula (forall (A:int) (B:int) (N:nat), (((ord_less_eq_int zero_zero_int) A)->(((ord_less_eq_int zero_zero_int) B)->(((ord_less_nat zero_zero_nat) N)->(((eq Prop) ((ord_less_eq_int ((power_power_int A) N)) ((power_power_int B) N))) ((ord_less_eq_int A) B)))))) of role axiom named fact_13_power__mono__iff
% 0.71/0.87 A new axiom: (forall (A:int) (B:int) (N:nat), (((ord_less_eq_int zero_zero_int) A)->(((ord_less_eq_int zero_zero_int) B)->(((ord_less_nat zero_zero_nat) N)->(((eq Prop) ((ord_less_eq_int ((power_power_int A) N)) ((power_power_int B) N))) ((ord_less_eq_int A) B))))))
% 0.71/0.87 FOF formula (forall (A:rat), (((eq Prop) (((eq rat) ((power_power_rat A) (numeral_numeral_nat (bit0 one)))) zero_zero_rat)) (((eq rat) A) zero_zero_rat))) of role axiom named fact_14_zero__eq__power2
% 0.71/0.87 A new axiom: (forall (A:rat), (((eq Prop) (((eq rat) ((power_power_rat A) (numeral_numeral_nat (bit0 one)))) zero_zero_rat)) (((eq rat) A) zero_zero_rat)))
% 0.71/0.87 FOF formula (forall (A:nat), (((eq Prop) (((eq nat) ((power_power_nat A) (numeral_numeral_nat (bit0 one)))) zero_zero_nat)) (((eq nat) A) zero_zero_nat))) of role axiom named fact_15_zero__eq__power2
% 0.71/0.88 A new axiom: (forall (A:nat), (((eq Prop) (((eq nat) ((power_power_nat A) (numeral_numeral_nat (bit0 one)))) zero_zero_nat)) (((eq nat) A) zero_zero_nat)))
% 0.71/0.88 FOF formula (forall (A:real), (((eq Prop) (((eq real) ((power_power_real A) (numeral_numeral_nat (bit0 one)))) zero_zero_real)) (((eq real) A) zero_zero_real))) of role axiom named fact_16_zero__eq__power2
% 0.71/0.88 A new axiom: (forall (A:real), (((eq Prop) (((eq real) ((power_power_real A) (numeral_numeral_nat (bit0 one)))) zero_zero_real)) (((eq real) A) zero_zero_real)))
% 0.71/0.88 FOF formula (forall (A:int), (((eq Prop) (((eq int) ((power_power_int A) (numeral_numeral_nat (bit0 one)))) zero_zero_int)) (((eq int) A) zero_zero_int))) of role axiom named fact_17_zero__eq__power2
% 0.71/0.88 A new axiom: (forall (A:int), (((eq Prop) (((eq int) ((power_power_int A) (numeral_numeral_nat (bit0 one)))) zero_zero_int)) (((eq int) A) zero_zero_int)))
% 0.71/0.88 FOF formula (forall (A:complex), (((eq Prop) (((eq complex) ((power_power_complex A) (numeral_numeral_nat (bit0 one)))) zero_zero_complex)) (((eq complex) A) zero_zero_complex))) of role axiom named fact_18_zero__eq__power2
% 0.71/0.88 A new axiom: (forall (A:complex), (((eq Prop) (((eq complex) ((power_power_complex A) (numeral_numeral_nat (bit0 one)))) zero_zero_complex)) (((eq complex) A) zero_zero_complex)))
% 0.71/0.88 FOF formula (forall (A:rat) (N:nat), (((eq Prop) (((eq rat) ((power_power_rat A) N)) zero_zero_rat)) ((and (((eq rat) A) zero_zero_rat)) ((ord_less_nat zero_zero_nat) N)))) of role axiom named fact_19_power__eq__0__iff
% 0.71/0.88 A new axiom: (forall (A:rat) (N:nat), (((eq Prop) (((eq rat) ((power_power_rat A) N)) zero_zero_rat)) ((and (((eq rat) A) zero_zero_rat)) ((ord_less_nat zero_zero_nat) N))))
% 0.71/0.88 FOF formula (forall (A:nat) (N:nat), (((eq Prop) (((eq nat) ((power_power_nat A) N)) zero_zero_nat)) ((and (((eq nat) A) zero_zero_nat)) ((ord_less_nat zero_zero_nat) N)))) of role axiom named fact_20_power__eq__0__iff
% 0.71/0.88 A new axiom: (forall (A:nat) (N:nat), (((eq Prop) (((eq nat) ((power_power_nat A) N)) zero_zero_nat)) ((and (((eq nat) A) zero_zero_nat)) ((ord_less_nat zero_zero_nat) N))))
% 0.71/0.88 FOF formula (forall (A:real) (N:nat), (((eq Prop) (((eq real) ((power_power_real A) N)) zero_zero_real)) ((and (((eq real) A) zero_zero_real)) ((ord_less_nat zero_zero_nat) N)))) of role axiom named fact_21_power__eq__0__iff
% 0.71/0.88 A new axiom: (forall (A:real) (N:nat), (((eq Prop) (((eq real) ((power_power_real A) N)) zero_zero_real)) ((and (((eq real) A) zero_zero_real)) ((ord_less_nat zero_zero_nat) N))))
% 0.71/0.88 FOF formula (forall (A:int) (N:nat), (((eq Prop) (((eq int) ((power_power_int A) N)) zero_zero_int)) ((and (((eq int) A) zero_zero_int)) ((ord_less_nat zero_zero_nat) N)))) of role axiom named fact_22_power__eq__0__iff
% 0.71/0.88 A new axiom: (forall (A:int) (N:nat), (((eq Prop) (((eq int) ((power_power_int A) N)) zero_zero_int)) ((and (((eq int) A) zero_zero_int)) ((ord_less_nat zero_zero_nat) N))))
% 0.71/0.88 FOF formula (forall (A:complex) (N:nat), (((eq Prop) (((eq complex) ((power_power_complex A) N)) zero_zero_complex)) ((and (((eq complex) A) zero_zero_complex)) ((ord_less_nat zero_zero_nat) N)))) of role axiom named fact_23_power__eq__0__iff
% 0.71/0.88 A new axiom: (forall (A:complex) (N:nat), (((eq Prop) (((eq complex) ((power_power_complex A) N)) zero_zero_complex)) ((and (((eq complex) A) zero_zero_complex)) ((ord_less_nat zero_zero_nat) N))))
% 0.71/0.88 FOF formula (forall (X:nat) (N:nat), (((eq Prop) ((ord_less_nat zero_zero_nat) ((power_power_nat X) N))) ((or ((ord_less_nat zero_zero_nat) X)) (((eq nat) N) zero_zero_nat)))) of role axiom named fact_24_nat__zero__less__power__iff
% 0.71/0.88 A new axiom: (forall (X:nat) (N:nat), (((eq Prop) ((ord_less_nat zero_zero_nat) ((power_power_nat X) N))) ((or ((ord_less_nat zero_zero_nat) X)) (((eq nat) N) zero_zero_nat))))
% 0.71/0.88 FOF formula (forall (K:num), (((eq rat) ((power_power_rat zero_zero_rat) (numeral_numeral_nat K))) zero_zero_rat)) of role axiom named fact_25_power__zero__numeral
% 0.71/0.88 A new axiom: (forall (K:num), (((eq rat) ((power_power_rat zero_zero_rat) (numeral_numeral_nat K))) zero_zero_rat))
% 0.71/0.88 FOF formula (forall (K:num), (((eq nat) ((power_power_nat zero_zero_nat) (numeral_numeral_nat K))) zero_zero_nat)) of role axiom named fact_26_power__zero__numeral
% 0.71/0.89 A new axiom: (forall (K:num), (((eq nat) ((power_power_nat zero_zero_nat) (numeral_numeral_nat K))) zero_zero_nat))
% 0.71/0.89 FOF formula (forall (K:num), (((eq real) ((power_power_real zero_zero_real) (numeral_numeral_nat K))) zero_zero_real)) of role axiom named fact_27_power__zero__numeral
% 0.71/0.89 A new axiom: (forall (K:num), (((eq real) ((power_power_real zero_zero_real) (numeral_numeral_nat K))) zero_zero_real))
% 0.71/0.89 FOF formula (forall (K:num), (((eq int) ((power_power_int zero_zero_int) (numeral_numeral_nat K))) zero_zero_int)) of role axiom named fact_28_power__zero__numeral
% 0.71/0.89 A new axiom: (forall (K:num), (((eq int) ((power_power_int zero_zero_int) (numeral_numeral_nat K))) zero_zero_int))
% 0.71/0.89 FOF formula (forall (K:num), (((eq complex) ((power_power_complex zero_zero_complex) (numeral_numeral_nat K))) zero_zero_complex)) of role axiom named fact_29_power__zero__numeral
% 0.71/0.89 A new axiom: (forall (K:num), (((eq complex) ((power_power_complex zero_zero_complex) (numeral_numeral_nat K))) zero_zero_complex))
% 0.71/0.89 FOF formula (forall (X:real) (Y:real), (((ord_less_real ((power_power_real X) (numeral_numeral_nat (bit0 one)))) ((power_power_real Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_real zero_zero_real) Y)->((ord_less_real X) Y)))) of role axiom named fact_30_power2__less__imp__less
% 0.71/0.89 A new axiom: (forall (X:real) (Y:real), (((ord_less_real ((power_power_real X) (numeral_numeral_nat (bit0 one)))) ((power_power_real Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_real zero_zero_real) Y)->((ord_less_real X) Y))))
% 0.71/0.89 FOF formula (forall (X:rat) (Y:rat), (((ord_less_rat ((power_power_rat X) (numeral_numeral_nat (bit0 one)))) ((power_power_rat Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_rat zero_zero_rat) Y)->((ord_less_rat X) Y)))) of role axiom named fact_31_power2__less__imp__less
% 0.71/0.89 A new axiom: (forall (X:rat) (Y:rat), (((ord_less_rat ((power_power_rat X) (numeral_numeral_nat (bit0 one)))) ((power_power_rat Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_rat zero_zero_rat) Y)->((ord_less_rat X) Y))))
% 0.71/0.89 FOF formula (forall (X:nat) (Y:nat), (((ord_less_nat ((power_power_nat X) (numeral_numeral_nat (bit0 one)))) ((power_power_nat Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_nat zero_zero_nat) Y)->((ord_less_nat X) Y)))) of role axiom named fact_32_power2__less__imp__less
% 0.71/0.89 A new axiom: (forall (X:nat) (Y:nat), (((ord_less_nat ((power_power_nat X) (numeral_numeral_nat (bit0 one)))) ((power_power_nat Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_nat zero_zero_nat) Y)->((ord_less_nat X) Y))))
% 0.71/0.89 FOF formula (forall (X:int) (Y:int), (((ord_less_int ((power_power_int X) (numeral_numeral_nat (bit0 one)))) ((power_power_int Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_int zero_zero_int) Y)->((ord_less_int X) Y)))) of role axiom named fact_33_power2__less__imp__less
% 0.71/0.89 A new axiom: (forall (X:int) (Y:int), (((ord_less_int ((power_power_int X) (numeral_numeral_nat (bit0 one)))) ((power_power_int Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_int zero_zero_int) Y)->((ord_less_int X) Y))))
% 0.71/0.89 FOF formula (forall (A:real) (B:real) (N:nat), (((ord_less_real A) B)->(((ord_less_eq_real zero_zero_real) A)->(((ord_less_nat zero_zero_nat) N)->((ord_less_real ((power_power_real A) N)) ((power_power_real B) N)))))) of role axiom named fact_34_power__strict__mono
% 0.71/0.89 A new axiom: (forall (A:real) (B:real) (N:nat), (((ord_less_real A) B)->(((ord_less_eq_real zero_zero_real) A)->(((ord_less_nat zero_zero_nat) N)->((ord_less_real ((power_power_real A) N)) ((power_power_real B) N))))))
% 0.71/0.89 FOF formula (forall (A:rat) (B:rat) (N:nat), (((ord_less_rat A) B)->(((ord_less_eq_rat zero_zero_rat) A)->(((ord_less_nat zero_zero_nat) N)->((ord_less_rat ((power_power_rat A) N)) ((power_power_rat B) N)))))) of role axiom named fact_35_power__strict__mono
% 0.71/0.89 A new axiom: (forall (A:rat) (B:rat) (N:nat), (((ord_less_rat A) B)->(((ord_less_eq_rat zero_zero_rat) A)->(((ord_less_nat zero_zero_nat) N)->((ord_less_rat ((power_power_rat A) N)) ((power_power_rat B) N))))))
% 0.74/0.90 FOF formula (forall (A:nat) (B:nat) (N:nat), (((ord_less_nat A) B)->(((ord_less_eq_nat zero_zero_nat) A)->(((ord_less_nat zero_zero_nat) N)->((ord_less_nat ((power_power_nat A) N)) ((power_power_nat B) N)))))) of role axiom named fact_36_power__strict__mono
% 0.74/0.90 A new axiom: (forall (A:nat) (B:nat) (N:nat), (((ord_less_nat A) B)->(((ord_less_eq_nat zero_zero_nat) A)->(((ord_less_nat zero_zero_nat) N)->((ord_less_nat ((power_power_nat A) N)) ((power_power_nat B) N))))))
% 0.74/0.90 FOF formula (forall (A:int) (B:int) (N:nat), (((ord_less_int A) B)->(((ord_less_eq_int zero_zero_int) A)->(((ord_less_nat zero_zero_nat) N)->((ord_less_int ((power_power_int A) N)) ((power_power_int B) N)))))) of role axiom named fact_37_power__strict__mono
% 0.74/0.90 A new axiom: (forall (A:int) (B:int) (N:nat), (((ord_less_int A) B)->(((ord_less_eq_int zero_zero_int) A)->(((ord_less_nat zero_zero_nat) N)->((ord_less_int ((power_power_int A) N)) ((power_power_int B) N))))))
% 0.74/0.90 FOF formula (forall (A:real), (((ord_less_real ((power_power_real A) (numeral_numeral_nat (bit0 one)))) zero_zero_real)->False)) of role axiom named fact_38_power2__less__0
% 0.74/0.90 A new axiom: (forall (A:real), (((ord_less_real ((power_power_real A) (numeral_numeral_nat (bit0 one)))) zero_zero_real)->False))
% 0.74/0.90 FOF formula (forall (A:rat), (((ord_less_rat ((power_power_rat A) (numeral_numeral_nat (bit0 one)))) zero_zero_rat)->False)) of role axiom named fact_39_power2__less__0
% 0.74/0.90 A new axiom: (forall (A:rat), (((ord_less_rat ((power_power_rat A) (numeral_numeral_nat (bit0 one)))) zero_zero_rat)->False))
% 0.74/0.90 FOF formula (forall (A:int), (((ord_less_int ((power_power_int A) (numeral_numeral_nat (bit0 one)))) zero_zero_int)->False)) of role axiom named fact_40_power2__less__0
% 0.74/0.90 A new axiom: (forall (A:int), (((ord_less_int ((power_power_int A) (numeral_numeral_nat (bit0 one)))) zero_zero_int)->False))
% 0.74/0.90 FOF formula (forall (A:rat), ((ord_less_eq_rat zero_zero_rat) ((power_power_rat A) (numeral_numeral_nat (bit0 one))))) of role axiom named fact_41_zero__le__power2
% 0.74/0.90 A new axiom: (forall (A:rat), ((ord_less_eq_rat zero_zero_rat) ((power_power_rat A) (numeral_numeral_nat (bit0 one)))))
% 0.74/0.90 FOF formula (forall (A:int), ((ord_less_eq_int zero_zero_int) ((power_power_int A) (numeral_numeral_nat (bit0 one))))) of role axiom named fact_42_zero__le__power2
% 0.74/0.90 A new axiom: (forall (A:int), ((ord_less_eq_int zero_zero_int) ((power_power_int A) (numeral_numeral_nat (bit0 one)))))
% 0.74/0.90 FOF formula (forall (A:real), ((ord_less_eq_real zero_zero_real) ((power_power_real A) (numeral_numeral_nat (bit0 one))))) of role axiom named fact_43_zero__le__power2
% 0.74/0.90 A new axiom: (forall (A:real), ((ord_less_eq_real zero_zero_real) ((power_power_real A) (numeral_numeral_nat (bit0 one)))))
% 0.74/0.90 FOF formula (forall (A:nat) (N:nat), ((not (((eq nat) A) zero_zero_nat))->(not (((eq nat) ((power_power_nat A) N)) zero_zero_nat)))) of role axiom named fact_44_power__not__zero
% 0.74/0.90 A new axiom: (forall (A:nat) (N:nat), ((not (((eq nat) A) zero_zero_nat))->(not (((eq nat) ((power_power_nat A) N)) zero_zero_nat))))
% 0.74/0.90 FOF formula (forall (A:real) (N:nat), ((not (((eq real) A) zero_zero_real))->(not (((eq real) ((power_power_real A) N)) zero_zero_real)))) of role axiom named fact_45_power__not__zero
% 0.74/0.90 A new axiom: (forall (A:real) (N:nat), ((not (((eq real) A) zero_zero_real))->(not (((eq real) ((power_power_real A) N)) zero_zero_real))))
% 0.74/0.90 FOF formula (forall (A:int) (N:nat), ((not (((eq int) A) zero_zero_int))->(not (((eq int) ((power_power_int A) N)) zero_zero_int)))) of role axiom named fact_46_power__not__zero
% 0.74/0.90 A new axiom: (forall (A:int) (N:nat), ((not (((eq int) A) zero_zero_int))->(not (((eq int) ((power_power_int A) N)) zero_zero_int))))
% 0.74/0.90 FOF formula (forall (A:complex) (N:nat), ((not (((eq complex) A) zero_zero_complex))->(not (((eq complex) ((power_power_complex A) N)) zero_zero_complex)))) of role axiom named fact_47_power__not__zero
% 0.74/0.90 A new axiom: (forall (A:complex) (N:nat), ((not (((eq complex) A) zero_zero_complex))->(not (((eq complex) ((power_power_complex A) N)) zero_zero_complex))))
% 0.74/0.90 FOF formula (forall (A:rat) (N:nat), ((not (((eq rat) A) zero_zero_rat))->(not (((eq rat) ((power_power_rat A) N)) zero_zero_rat)))) of role axiom named fact_48_power__not__zero
% 0.74/0.91 A new axiom: (forall (A:rat) (N:nat), ((not (((eq rat) A) zero_zero_rat))->(not (((eq rat) ((power_power_rat A) N)) zero_zero_rat))))
% 0.74/0.91 FOF formula (forall (A:rat) (N:nat), (((ord_less_eq_rat zero_zero_rat) A)->((ord_less_eq_rat zero_zero_rat) ((power_power_rat A) N)))) of role axiom named fact_49_zero__le__power
% 0.74/0.91 A new axiom: (forall (A:rat) (N:nat), (((ord_less_eq_rat zero_zero_rat) A)->((ord_less_eq_rat zero_zero_rat) ((power_power_rat A) N))))
% 0.74/0.91 FOF formula (forall (A:nat) (N:nat), (((ord_less_eq_nat zero_zero_nat) A)->((ord_less_eq_nat zero_zero_nat) ((power_power_nat A) N)))) of role axiom named fact_50_zero__le__power
% 0.74/0.91 A new axiom: (forall (A:nat) (N:nat), (((ord_less_eq_nat zero_zero_nat) A)->((ord_less_eq_nat zero_zero_nat) ((power_power_nat A) N))))
% 0.74/0.91 FOF formula (forall (A:int) (N:nat), (((ord_less_eq_int zero_zero_int) A)->((ord_less_eq_int zero_zero_int) ((power_power_int A) N)))) of role axiom named fact_51_zero__le__power
% 0.74/0.91 A new axiom: (forall (A:int) (N:nat), (((ord_less_eq_int zero_zero_int) A)->((ord_less_eq_int zero_zero_int) ((power_power_int A) N))))
% 0.74/0.91 FOF formula (forall (A:real) (N:nat), (((ord_less_eq_real zero_zero_real) A)->((ord_less_eq_real zero_zero_real) ((power_power_real A) N)))) of role axiom named fact_52_zero__le__power
% 0.74/0.91 A new axiom: (forall (A:real) (N:nat), (((ord_less_eq_real zero_zero_real) A)->((ord_less_eq_real zero_zero_real) ((power_power_real A) N))))
% 0.74/0.91 FOF formula (forall (A:rat) (B:rat) (N:nat), (((ord_less_eq_rat A) B)->(((ord_less_eq_rat zero_zero_rat) A)->((ord_less_eq_rat ((power_power_rat A) N)) ((power_power_rat B) N))))) of role axiom named fact_53_power__mono
% 0.74/0.91 A new axiom: (forall (A:rat) (B:rat) (N:nat), (((ord_less_eq_rat A) B)->(((ord_less_eq_rat zero_zero_rat) A)->((ord_less_eq_rat ((power_power_rat A) N)) ((power_power_rat B) N)))))
% 0.74/0.91 FOF formula (forall (A:nat) (B:nat) (N:nat), (((ord_less_eq_nat A) B)->(((ord_less_eq_nat zero_zero_nat) A)->((ord_less_eq_nat ((power_power_nat A) N)) ((power_power_nat B) N))))) of role axiom named fact_54_power__mono
% 0.74/0.91 A new axiom: (forall (A:nat) (B:nat) (N:nat), (((ord_less_eq_nat A) B)->(((ord_less_eq_nat zero_zero_nat) A)->((ord_less_eq_nat ((power_power_nat A) N)) ((power_power_nat B) N)))))
% 0.74/0.91 FOF formula (forall (A:int) (B:int) (N:nat), (((ord_less_eq_int A) B)->(((ord_less_eq_int zero_zero_int) A)->((ord_less_eq_int ((power_power_int A) N)) ((power_power_int B) N))))) of role axiom named fact_55_power__mono
% 0.74/0.91 A new axiom: (forall (A:int) (B:int) (N:nat), (((ord_less_eq_int A) B)->(((ord_less_eq_int zero_zero_int) A)->((ord_less_eq_int ((power_power_int A) N)) ((power_power_int B) N)))))
% 0.74/0.91 FOF formula (forall (A:real) (B:real) (N:nat), (((ord_less_eq_real A) B)->(((ord_less_eq_real zero_zero_real) A)->((ord_less_eq_real ((power_power_real A) N)) ((power_power_real B) N))))) of role axiom named fact_56_power__mono
% 0.74/0.91 A new axiom: (forall (A:real) (B:real) (N:nat), (((ord_less_eq_real A) B)->(((ord_less_eq_real zero_zero_real) A)->((ord_less_eq_real ((power_power_real A) N)) ((power_power_real B) N)))))
% 0.74/0.91 FOF formula (forall (A:real) (N:nat), (((ord_less_real zero_zero_real) A)->((ord_less_real zero_zero_real) ((power_power_real A) N)))) of role axiom named fact_57_zero__less__power
% 0.74/0.91 A new axiom: (forall (A:real) (N:nat), (((ord_less_real zero_zero_real) A)->((ord_less_real zero_zero_real) ((power_power_real A) N))))
% 0.74/0.91 FOF formula (forall (A:rat) (N:nat), (((ord_less_rat zero_zero_rat) A)->((ord_less_rat zero_zero_rat) ((power_power_rat A) N)))) of role axiom named fact_58_zero__less__power
% 0.74/0.91 A new axiom: (forall (A:rat) (N:nat), (((ord_less_rat zero_zero_rat) A)->((ord_less_rat zero_zero_rat) ((power_power_rat A) N))))
% 0.74/0.91 FOF formula (forall (A:nat) (N:nat), (((ord_less_nat zero_zero_nat) A)->((ord_less_nat zero_zero_nat) ((power_power_nat A) N)))) of role axiom named fact_59_zero__less__power
% 0.74/0.91 A new axiom: (forall (A:nat) (N:nat), (((ord_less_nat zero_zero_nat) A)->((ord_less_nat zero_zero_nat) ((power_power_nat A) N))))
% 0.74/0.92 FOF formula (forall (A:int) (N:nat), (((ord_less_int zero_zero_int) A)->((ord_less_int zero_zero_int) ((power_power_int A) N)))) of role axiom named fact_60_zero__less__power
% 0.74/0.92 A new axiom: (forall (A:int) (N:nat), (((ord_less_int zero_zero_int) A)->((ord_less_int zero_zero_int) ((power_power_int A) N))))
% 0.74/0.92 FOF formula (forall (_TPTP_I:nat) (M:nat) (N:nat), (((ord_less_nat zero_zero_nat) _TPTP_I)->(((ord_less_nat ((power_power_nat _TPTP_I) M)) ((power_power_nat _TPTP_I) N))->((ord_less_nat M) N)))) of role axiom named fact_61_nat__power__less__imp__less
% 0.74/0.92 A new axiom: (forall (_TPTP_I:nat) (M:nat) (N:nat), (((ord_less_nat zero_zero_nat) _TPTP_I)->(((ord_less_nat ((power_power_nat _TPTP_I) M)) ((power_power_nat _TPTP_I) N))->((ord_less_nat M) N))))
% 0.74/0.92 FOF formula (forall (A:rat) (N:nat) (B:rat), (((ord_less_rat ((power_power_rat A) N)) ((power_power_rat B) N))->(((ord_less_eq_rat zero_zero_rat) B)->((ord_less_rat A) B)))) of role axiom named fact_62_power__less__imp__less__base
% 0.74/0.92 A new axiom: (forall (A:rat) (N:nat) (B:rat), (((ord_less_rat ((power_power_rat A) N)) ((power_power_rat B) N))->(((ord_less_eq_rat zero_zero_rat) B)->((ord_less_rat A) B))))
% 0.74/0.92 FOF formula (forall (A:nat) (N:nat) (B:nat), (((ord_less_nat ((power_power_nat A) N)) ((power_power_nat B) N))->(((ord_less_eq_nat zero_zero_nat) B)->((ord_less_nat A) B)))) of role axiom named fact_63_power__less__imp__less__base
% 0.74/0.92 A new axiom: (forall (A:nat) (N:nat) (B:nat), (((ord_less_nat ((power_power_nat A) N)) ((power_power_nat B) N))->(((ord_less_eq_nat zero_zero_nat) B)->((ord_less_nat A) B))))
% 0.74/0.92 FOF formula (forall (A:int) (N:nat) (B:int), (((ord_less_int ((power_power_int A) N)) ((power_power_int B) N))->(((ord_less_eq_int zero_zero_int) B)->((ord_less_int A) B)))) of role axiom named fact_64_power__less__imp__less__base
% 0.74/0.92 A new axiom: (forall (A:int) (N:nat) (B:int), (((ord_less_int ((power_power_int A) N)) ((power_power_int B) N))->(((ord_less_eq_int zero_zero_int) B)->((ord_less_int A) B))))
% 0.74/0.92 FOF formula (forall (A:real) (N:nat) (B:real), (((ord_less_real ((power_power_real A) N)) ((power_power_real B) N))->(((ord_less_eq_real zero_zero_real) B)->((ord_less_real A) B)))) of role axiom named fact_65_power__less__imp__less__base
% 0.74/0.92 A new axiom: (forall (A:real) (N:nat) (B:real), (((ord_less_real ((power_power_real A) N)) ((power_power_real B) N))->(((ord_less_eq_real zero_zero_real) B)->((ord_less_real A) B))))
% 0.74/0.92 FOF formula (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq nat) ((power_power_nat zero_zero_nat) N)) zero_zero_nat))) of role axiom named fact_66_zero__power
% 0.74/0.92 A new axiom: (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq nat) ((power_power_nat zero_zero_nat) N)) zero_zero_nat)))
% 0.74/0.92 FOF formula (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq real) ((power_power_real zero_zero_real) N)) zero_zero_real))) of role axiom named fact_67_zero__power
% 0.74/0.92 A new axiom: (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq real) ((power_power_real zero_zero_real) N)) zero_zero_real)))
% 0.74/0.92 FOF formula (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq int) ((power_power_int zero_zero_int) N)) zero_zero_int))) of role axiom named fact_68_zero__power
% 0.74/0.92 A new axiom: (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq int) ((power_power_int zero_zero_int) N)) zero_zero_int)))
% 0.74/0.92 FOF formula (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq complex) ((power_power_complex zero_zero_complex) N)) zero_zero_complex))) of role axiom named fact_69_zero__power
% 0.74/0.92 A new axiom: (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq complex) ((power_power_complex zero_zero_complex) N)) zero_zero_complex)))
% 0.74/0.92 FOF formula (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq rat) ((power_power_rat zero_zero_rat) N)) zero_zero_rat))) of role axiom named fact_70_zero__power
% 0.74/0.92 A new axiom: (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq rat) ((power_power_rat zero_zero_rat) N)) zero_zero_rat)))
% 0.74/0.92 FOF formula (((eq nat) ((power_power_nat zero_zero_nat) (numeral_numeral_nat (bit0 one)))) zero_zero_nat) of role axiom named fact_71_zero__power2
% 0.74/0.92 A new axiom: (((eq nat) ((power_power_nat zero_zero_nat) (numeral_numeral_nat (bit0 one)))) zero_zero_nat)
% 0.74/0.93 FOF formula (((eq real) ((power_power_real zero_zero_real) (numeral_numeral_nat (bit0 one)))) zero_zero_real) of role axiom named fact_72_zero__power2
% 0.74/0.93 A new axiom: (((eq real) ((power_power_real zero_zero_real) (numeral_numeral_nat (bit0 one)))) zero_zero_real)
% 0.74/0.93 FOF formula (((eq int) ((power_power_int zero_zero_int) (numeral_numeral_nat (bit0 one)))) zero_zero_int) of role axiom named fact_73_zero__power2
% 0.74/0.93 A new axiom: (((eq int) ((power_power_int zero_zero_int) (numeral_numeral_nat (bit0 one)))) zero_zero_int)
% 0.74/0.93 FOF formula (((eq complex) ((power_power_complex zero_zero_complex) (numeral_numeral_nat (bit0 one)))) zero_zero_complex) of role axiom named fact_74_zero__power2
% 0.74/0.93 A new axiom: (((eq complex) ((power_power_complex zero_zero_complex) (numeral_numeral_nat (bit0 one)))) zero_zero_complex)
% 0.74/0.93 FOF formula (((eq rat) ((power_power_rat zero_zero_rat) (numeral_numeral_nat (bit0 one)))) zero_zero_rat) of role axiom named fact_75_zero__power2
% 0.74/0.93 A new axiom: (((eq rat) ((power_power_rat zero_zero_rat) (numeral_numeral_nat (bit0 one)))) zero_zero_rat)
% 0.74/0.93 FOF formula (forall (A:rat) (N:nat) (B:rat), ((((eq rat) ((power_power_rat A) N)) ((power_power_rat B) N))->(((ord_less_eq_rat zero_zero_rat) A)->(((ord_less_eq_rat zero_zero_rat) B)->(((ord_less_nat zero_zero_nat) N)->(((eq rat) A) B)))))) of role axiom named fact_76_power__eq__imp__eq__base
% 0.74/0.93 A new axiom: (forall (A:rat) (N:nat) (B:rat), ((((eq rat) ((power_power_rat A) N)) ((power_power_rat B) N))->(((ord_less_eq_rat zero_zero_rat) A)->(((ord_less_eq_rat zero_zero_rat) B)->(((ord_less_nat zero_zero_nat) N)->(((eq rat) A) B))))))
% 0.74/0.93 FOF formula (forall (A:nat) (N:nat) (B:nat), ((((eq nat) ((power_power_nat A) N)) ((power_power_nat B) N))->(((ord_less_eq_nat zero_zero_nat) A)->(((ord_less_eq_nat zero_zero_nat) B)->(((ord_less_nat zero_zero_nat) N)->(((eq nat) A) B)))))) of role axiom named fact_77_power__eq__imp__eq__base
% 0.74/0.93 A new axiom: (forall (A:nat) (N:nat) (B:nat), ((((eq nat) ((power_power_nat A) N)) ((power_power_nat B) N))->(((ord_less_eq_nat zero_zero_nat) A)->(((ord_less_eq_nat zero_zero_nat) B)->(((ord_less_nat zero_zero_nat) N)->(((eq nat) A) B))))))
% 0.74/0.93 FOF formula (forall (A:int) (N:nat) (B:int), ((((eq int) ((power_power_int A) N)) ((power_power_int B) N))->(((ord_less_eq_int zero_zero_int) A)->(((ord_less_eq_int zero_zero_int) B)->(((ord_less_nat zero_zero_nat) N)->(((eq int) A) B)))))) of role axiom named fact_78_power__eq__imp__eq__base
% 0.74/0.93 A new axiom: (forall (A:int) (N:nat) (B:int), ((((eq int) ((power_power_int A) N)) ((power_power_int B) N))->(((ord_less_eq_int zero_zero_int) A)->(((ord_less_eq_int zero_zero_int) B)->(((ord_less_nat zero_zero_nat) N)->(((eq int) A) B))))))
% 0.74/0.93 FOF formula (forall (A:real) (N:nat) (B:real), ((((eq real) ((power_power_real A) N)) ((power_power_real B) N))->(((ord_less_eq_real zero_zero_real) A)->(((ord_less_eq_real zero_zero_real) B)->(((ord_less_nat zero_zero_nat) N)->(((eq real) A) B)))))) of role axiom named fact_79_power__eq__imp__eq__base
% 0.74/0.93 A new axiom: (forall (A:real) (N:nat) (B:real), ((((eq real) ((power_power_real A) N)) ((power_power_real B) N))->(((ord_less_eq_real zero_zero_real) A)->(((ord_less_eq_real zero_zero_real) B)->(((ord_less_nat zero_zero_nat) N)->(((eq real) A) B))))))
% 0.74/0.93 FOF formula (forall (N:nat) (A:rat) (B:rat), (((ord_less_nat zero_zero_nat) N)->(((ord_less_eq_rat zero_zero_rat) A)->(((ord_less_eq_rat zero_zero_rat) B)->(((eq Prop) (((eq rat) ((power_power_rat A) N)) ((power_power_rat B) N))) (((eq rat) A) B)))))) of role axiom named fact_80_power__eq__iff__eq__base
% 0.74/0.93 A new axiom: (forall (N:nat) (A:rat) (B:rat), (((ord_less_nat zero_zero_nat) N)->(((ord_less_eq_rat zero_zero_rat) A)->(((ord_less_eq_rat zero_zero_rat) B)->(((eq Prop) (((eq rat) ((power_power_rat A) N)) ((power_power_rat B) N))) (((eq rat) A) B))))))
% 0.74/0.93 FOF formula (forall (N:nat) (A:nat) (B:nat), (((ord_less_nat zero_zero_nat) N)->(((ord_less_eq_nat zero_zero_nat) A)->(((ord_less_eq_nat zero_zero_nat) B)->(((eq Prop) (((eq nat) ((power_power_nat A) N)) ((power_power_nat B) N))) (((eq nat) A) B)))))) of role axiom named fact_81_power__eq__iff__eq__base
% 0.77/0.94 A new axiom: (forall (N:nat) (A:nat) (B:nat), (((ord_less_nat zero_zero_nat) N)->(((ord_less_eq_nat zero_zero_nat) A)->(((ord_less_eq_nat zero_zero_nat) B)->(((eq Prop) (((eq nat) ((power_power_nat A) N)) ((power_power_nat B) N))) (((eq nat) A) B))))))
% 0.77/0.94 FOF formula (forall (N:nat) (A:int) (B:int), (((ord_less_nat zero_zero_nat) N)->(((ord_less_eq_int zero_zero_int) A)->(((ord_less_eq_int zero_zero_int) B)->(((eq Prop) (((eq int) ((power_power_int A) N)) ((power_power_int B) N))) (((eq int) A) B)))))) of role axiom named fact_82_power__eq__iff__eq__base
% 0.77/0.94 A new axiom: (forall (N:nat) (A:int) (B:int), (((ord_less_nat zero_zero_nat) N)->(((ord_less_eq_int zero_zero_int) A)->(((ord_less_eq_int zero_zero_int) B)->(((eq Prop) (((eq int) ((power_power_int A) N)) ((power_power_int B) N))) (((eq int) A) B))))))
% 0.77/0.94 FOF formula (forall (N:nat) (A:real) (B:real), (((ord_less_nat zero_zero_nat) N)->(((ord_less_eq_real zero_zero_real) A)->(((ord_less_eq_real zero_zero_real) B)->(((eq Prop) (((eq real) ((power_power_real A) N)) ((power_power_real B) N))) (((eq real) A) B)))))) of role axiom named fact_83_power__eq__iff__eq__base
% 0.77/0.94 A new axiom: (forall (N:nat) (A:real) (B:real), (((ord_less_nat zero_zero_nat) N)->(((ord_less_eq_real zero_zero_real) A)->(((ord_less_eq_real zero_zero_real) B)->(((eq Prop) (((eq real) ((power_power_real A) N)) ((power_power_real B) N))) (((eq real) A) B))))))
% 0.77/0.94 FOF formula (forall (N:nat), ((ord_less_nat N) ((power_power_nat (numeral_numeral_nat (bit0 one))) N))) of role axiom named fact_84_less__exp
% 0.77/0.94 A new axiom: (forall (N:nat), ((ord_less_nat N) ((power_power_nat (numeral_numeral_nat (bit0 one))) N)))
% 0.77/0.94 FOF formula (forall (M:nat) (N:nat), (((ord_less_eq_nat ((power_power_nat M) (numeral_numeral_nat (bit0 one)))) N)->((ord_less_eq_nat M) N))) of role axiom named fact_85_power2__nat__le__imp__le
% 0.77/0.94 A new axiom: (forall (M:nat) (N:nat), (((ord_less_eq_nat ((power_power_nat M) (numeral_numeral_nat (bit0 one)))) N)->((ord_less_eq_nat M) N)))
% 0.77/0.94 FOF formula (forall (M:nat) (N:nat), (((eq Prop) ((ord_less_eq_nat ((power_power_nat M) (numeral_numeral_nat (bit0 one)))) ((power_power_nat N) (numeral_numeral_nat (bit0 one))))) ((ord_less_eq_nat M) N))) of role axiom named fact_86_power2__nat__le__eq__le
% 0.77/0.94 A new axiom: (forall (M:nat) (N:nat), (((eq Prop) ((ord_less_eq_nat ((power_power_nat M) (numeral_numeral_nat (bit0 one)))) ((power_power_nat N) (numeral_numeral_nat (bit0 one))))) ((ord_less_eq_nat M) N)))
% 0.77/0.94 FOF formula (forall (K:nat) (M:nat), (((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) K)->((ord_less_eq_nat M) ((power_power_nat K) M)))) of role axiom named fact_87_self__le__ge2__pow
% 0.77/0.94 A new axiom: (forall (K:nat) (M:nat), (((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) K)->((ord_less_eq_nat M) ((power_power_nat K) M))))
% 0.77/0.94 FOF formula (forall (X:rat) (Y:rat), (((ord_less_eq_rat ((power_power_rat X) (numeral_numeral_nat (bit0 one)))) ((power_power_rat Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_rat zero_zero_rat) Y)->((ord_less_eq_rat X) Y)))) of role axiom named fact_88_power2__le__imp__le
% 0.77/0.94 A new axiom: (forall (X:rat) (Y:rat), (((ord_less_eq_rat ((power_power_rat X) (numeral_numeral_nat (bit0 one)))) ((power_power_rat Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_rat zero_zero_rat) Y)->((ord_less_eq_rat X) Y))))
% 0.77/0.94 FOF formula (forall (X:nat) (Y:nat), (((ord_less_eq_nat ((power_power_nat X) (numeral_numeral_nat (bit0 one)))) ((power_power_nat Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_nat zero_zero_nat) Y)->((ord_less_eq_nat X) Y)))) of role axiom named fact_89_power2__le__imp__le
% 0.77/0.94 A new axiom: (forall (X:nat) (Y:nat), (((ord_less_eq_nat ((power_power_nat X) (numeral_numeral_nat (bit0 one)))) ((power_power_nat Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_nat zero_zero_nat) Y)->((ord_less_eq_nat X) Y))))
% 0.77/0.94 FOF formula (forall (X:int) (Y:int), (((ord_less_eq_int ((power_power_int X) (numeral_numeral_nat (bit0 one)))) ((power_power_int Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_int zero_zero_int) Y)->((ord_less_eq_int X) Y)))) of role axiom named fact_90_power2__le__imp__le
% 0.77/0.94 A new axiom: (forall (X:int) (Y:int), (((ord_less_eq_int ((power_power_int X) (numeral_numeral_nat (bit0 one)))) ((power_power_int Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_int zero_zero_int) Y)->((ord_less_eq_int X) Y))))
% 0.77/0.94 FOF formula (forall (X:real) (Y:real), (((ord_less_eq_real ((power_power_real X) (numeral_numeral_nat (bit0 one)))) ((power_power_real Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_real zero_zero_real) Y)->((ord_less_eq_real X) Y)))) of role axiom named fact_91_power2__le__imp__le
% 0.77/0.94 A new axiom: (forall (X:real) (Y:real), (((ord_less_eq_real ((power_power_real X) (numeral_numeral_nat (bit0 one)))) ((power_power_real Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_real zero_zero_real) Y)->((ord_less_eq_real X) Y))))
% 0.77/0.94 FOF formula (forall (X:rat) (Y:rat), ((((eq rat) ((power_power_rat X) (numeral_numeral_nat (bit0 one)))) ((power_power_rat Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_rat zero_zero_rat) X)->(((ord_less_eq_rat zero_zero_rat) Y)->(((eq rat) X) Y))))) of role axiom named fact_92_power2__eq__imp__eq
% 0.77/0.94 A new axiom: (forall (X:rat) (Y:rat), ((((eq rat) ((power_power_rat X) (numeral_numeral_nat (bit0 one)))) ((power_power_rat Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_rat zero_zero_rat) X)->(((ord_less_eq_rat zero_zero_rat) Y)->(((eq rat) X) Y)))))
% 0.77/0.94 FOF formula (forall (X:nat) (Y:nat), ((((eq nat) ((power_power_nat X) (numeral_numeral_nat (bit0 one)))) ((power_power_nat Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_nat zero_zero_nat) X)->(((ord_less_eq_nat zero_zero_nat) Y)->(((eq nat) X) Y))))) of role axiom named fact_93_power2__eq__imp__eq
% 0.77/0.94 A new axiom: (forall (X:nat) (Y:nat), ((((eq nat) ((power_power_nat X) (numeral_numeral_nat (bit0 one)))) ((power_power_nat Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_nat zero_zero_nat) X)->(((ord_less_eq_nat zero_zero_nat) Y)->(((eq nat) X) Y)))))
% 0.77/0.94 FOF formula (forall (X:int) (Y:int), ((((eq int) ((power_power_int X) (numeral_numeral_nat (bit0 one)))) ((power_power_int Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_int zero_zero_int) X)->(((ord_less_eq_int zero_zero_int) Y)->(((eq int) X) Y))))) of role axiom named fact_94_power2__eq__imp__eq
% 0.77/0.94 A new axiom: (forall (X:int) (Y:int), ((((eq int) ((power_power_int X) (numeral_numeral_nat (bit0 one)))) ((power_power_int Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_int zero_zero_int) X)->(((ord_less_eq_int zero_zero_int) Y)->(((eq int) X) Y)))))
% 0.77/0.94 FOF formula (forall (X:real) (Y:real), ((((eq real) ((power_power_real X) (numeral_numeral_nat (bit0 one)))) ((power_power_real Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_real zero_zero_real) X)->(((ord_less_eq_real zero_zero_real) Y)->(((eq real) X) Y))))) of role axiom named fact_95_power2__eq__imp__eq
% 0.77/0.94 A new axiom: (forall (X:real) (Y:real), ((((eq real) ((power_power_real X) (numeral_numeral_nat (bit0 one)))) ((power_power_real Y) (numeral_numeral_nat (bit0 one))))->(((ord_less_eq_real zero_zero_real) X)->(((ord_less_eq_real zero_zero_real) Y)->(((eq real) X) Y)))))
% 0.77/0.94 FOF formula (forall (F:(nat->nat)) (Xs:list_nat) (G:(nat->nat)), (((eq Prop) (((eq list_nat) ((map_nat_nat F) Xs)) ((map_nat_nat G) Xs))) (forall (X2:nat), (((member_nat X2) (set_nat2 Xs))->(((eq nat) (F X2)) (G X2)))))) of role axiom named fact_96_map__eq__conv
% 0.77/0.94 A new axiom: (forall (F:(nat->nat)) (Xs:list_nat) (G:(nat->nat)), (((eq Prop) (((eq list_nat) ((map_nat_nat F) Xs)) ((map_nat_nat G) Xs))) (forall (X2:nat), (((member_nat X2) (set_nat2 Xs))->(((eq nat) (F X2)) (G X2))))))
% 0.77/0.94 FOF formula (forall (F:(vEBT_VEBT->nat)) (Xs:list_VEBT_VEBT) (G:(vEBT_VEBT->nat)), (((eq Prop) (((eq list_nat) ((map_VEBT_VEBT_nat F) Xs)) ((map_VEBT_VEBT_nat G) Xs))) (forall (X2:vEBT_VEBT), (((member_VEBT_VEBT X2) (set_VEBT_VEBT2 Xs))->(((eq nat) (F X2)) (G X2)))))) of role axiom named fact_97_map__eq__conv
% 0.77/0.94 A new axiom: (forall (F:(vEBT_VEBT->nat)) (Xs:list_VEBT_VEBT) (G:(vEBT_VEBT->nat)), (((eq Prop) (((eq list_nat) ((map_VEBT_VEBT_nat F) Xs)) ((map_VEBT_VEBT_nat G) Xs))) (forall (X2:vEBT_VEBT), (((member_VEBT_VEBT X2) (set_VEBT_VEBT2 Xs))->(((eq nat) (F X2)) (G X2))))))
% 0.77/0.95 FOF formula (forall (F:(vEBT_VEBT->real)) (Xs:list_VEBT_VEBT) (G:(vEBT_VEBT->real)), (((eq Prop) (((eq list_real) ((map_VEBT_VEBT_real F) Xs)) ((map_VEBT_VEBT_real G) Xs))) (forall (X2:vEBT_VEBT), (((member_VEBT_VEBT X2) (set_VEBT_VEBT2 Xs))->(((eq real) (F X2)) (G X2)))))) of role axiom named fact_98_map__eq__conv
% 0.77/0.95 A new axiom: (forall (F:(vEBT_VEBT->real)) (Xs:list_VEBT_VEBT) (G:(vEBT_VEBT->real)), (((eq Prop) (((eq list_real) ((map_VEBT_VEBT_real F) Xs)) ((map_VEBT_VEBT_real G) Xs))) (forall (X2:vEBT_VEBT), (((member_VEBT_VEBT X2) (set_VEBT_VEBT2 Xs))->(((eq real) (F X2)) (G X2))))))
% 0.77/0.95 FOF formula (forall (N:nat), ((ord_less_eq_nat zero_zero_nat) N)) of role axiom named fact_99_le0
% 0.77/0.95 A new axiom: (forall (N:nat), ((ord_less_eq_nat zero_zero_nat) N))
% 0.77/0.95 FOF formula (forall (A:nat), ((ord_less_eq_nat zero_zero_nat) A)) of role axiom named fact_100_bot__nat__0_Oextremum
% 0.77/0.95 A new axiom: (forall (A:nat), ((ord_less_eq_nat zero_zero_nat) A))
% 0.77/0.95 FOF formula (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False)) of role axiom named fact_101_less__nat__zero__code
% 0.77/0.95 A new axiom: (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False))
% 0.77/0.95 FOF formula (forall (N:nat), (((eq Prop) (not (((eq nat) N) zero_zero_nat))) ((ord_less_nat zero_zero_nat) N))) of role axiom named fact_102_neq0__conv
% 0.77/0.95 A new axiom: (forall (N:nat), (((eq Prop) (not (((eq nat) N) zero_zero_nat))) ((ord_less_nat zero_zero_nat) N)))
% 0.77/0.95 FOF formula (forall (A:nat), (((eq Prop) (not (((eq nat) A) zero_zero_nat))) ((ord_less_nat zero_zero_nat) A))) of role axiom named fact_103_bot__nat__0_Onot__eq__extremum
% 0.77/0.95 A new axiom: (forall (A:nat), (((eq Prop) (not (((eq nat) A) zero_zero_nat))) ((ord_less_nat zero_zero_nat) A)))
% 0.77/0.95 FOF formula ((ord_less_nat zero_zero_nat) (numeral_numeral_nat (bit0 one))) of role axiom named fact_104_pos2
% 0.77/0.95 A new axiom: ((ord_less_nat zero_zero_nat) (numeral_numeral_nat (bit0 one)))
% 0.77/0.95 FOF formula (forall (N:num), ((ord_less_num one) (bit0 N))) of role axiom named fact_105_semiring__norm_I76_J
% 0.77/0.95 A new axiom: (forall (N:num), ((ord_less_num one) (bit0 N)))
% 0.77/0.95 FOF formula (forall (M:num), (((ord_less_eq_num (bit0 M)) one)->False)) of role axiom named fact_106_semiring__norm_I69_J
% 0.77/0.95 A new axiom: (forall (M:num), (((ord_less_eq_num (bit0 M)) one)->False))
% 0.77/0.95 FOF formula (forall (N:num), (not (((eq num) one) (bit0 N)))) of role axiom named fact_107_semiring__norm_I83_J
% 0.77/0.95 A new axiom: (forall (N:num), (not (((eq num) one) (bit0 N))))
% 0.77/0.95 FOF formula (forall (M:num), (not (((eq num) (bit0 M)) one))) of role axiom named fact_108_semiring__norm_I85_J
% 0.77/0.95 A new axiom: (forall (M:num), (not (((eq num) (bit0 M)) one)))
% 0.77/0.95 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_109_numeral__less__iff
% 0.77/0.95 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)))
% 0.77/0.95 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_110_numeral__less__iff
% 0.77/0.95 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)))
% 0.77/0.95 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_111_numeral__less__iff
% 0.77/0.95 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)))
% 0.77/0.95 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_112_numeral__less__iff
% 0.77/0.95 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)))
% 0.77/0.95 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (((eq num) M) N))) of role axiom named fact_113_numeral__eq__iff
% 0.77/0.96 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (((eq num) M) N)))
% 0.77/0.96 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_114_numeral__eq__iff
% 0.77/0.96 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq real) (numeral_numeral_real M)) (numeral_numeral_real N))) (((eq num) M) N)))
% 0.77/0.96 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_115_numeral__eq__iff
% 0.77/0.96 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq rat) (numeral_numeral_rat M)) (numeral_numeral_rat N))) (((eq num) M) N)))
% 0.77/0.96 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_116_numeral__eq__iff
% 0.77/0.96 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat M)) (numeral_numeral_nat N))) (((eq num) M) N)))
% 0.77/0.96 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_117_numeral__eq__iff
% 0.77/0.96 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq int) (numeral_numeral_int M)) (numeral_numeral_int N))) (((eq num) M) N)))
% 0.77/0.96 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq num) (bit0 M)) (bit0 N))) (((eq num) M) N))) of role axiom named fact_118_semiring__norm_I87_J
% 0.77/0.96 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq num) (bit0 M)) (bit0 N))) (((eq num) M) N)))
% 0.77/0.96 FOF formula (((eq (list_nat->list_nat)) (map_nat_nat (fun (X2:nat)=> X2))) (fun (Xs2:list_nat)=> Xs2)) of role axiom named fact_119_map__ident
% 0.77/0.96 A new axiom: (((eq (list_nat->list_nat)) (map_nat_nat (fun (X2:nat)=> X2))) (fun (Xs2:list_nat)=> Xs2))
% 0.77/0.96 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_120_semiring__norm_I71_J
% 0.77/0.96 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_num (bit0 M)) (bit0 N))) ((ord_less_eq_num M) N)))
% 0.77/0.96 FOF formula (forall (A:real) (P:(real->Prop)), (((eq Prop) ((member_real A) (collect_real P))) (P A))) of role axiom named fact_121_mem__Collect__eq
% 0.77/0.96 A new axiom: (forall (A:real) (P:(real->Prop)), (((eq Prop) ((member_real A) (collect_real P))) (P A)))
% 0.77/0.96 FOF formula (forall (A:complex) (P:(complex->Prop)), (((eq Prop) ((member_complex A) (collect_complex P))) (P A))) of role axiom named fact_122_mem__Collect__eq
% 0.77/0.96 A new axiom: (forall (A:complex) (P:(complex->Prop)), (((eq Prop) ((member_complex A) (collect_complex P))) (P A)))
% 0.77/0.96 FOF formula (forall (A:list_nat) (P:(list_nat->Prop)), (((eq Prop) ((member_list_nat A) (collect_list_nat P))) (P A))) of role axiom named fact_123_mem__Collect__eq
% 0.77/0.96 A new axiom: (forall (A:list_nat) (P:(list_nat->Prop)), (((eq Prop) ((member_list_nat A) (collect_list_nat P))) (P A)))
% 0.77/0.96 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_124_mem__Collect__eq
% 0.77/0.96 A new axiom: (forall (A:set_nat) (P:(set_nat->Prop)), (((eq Prop) ((member_set_nat A) (collect_set_nat P))) (P A)))
% 0.77/0.96 FOF formula (forall (A:nat) (P:(nat->Prop)), (((eq Prop) ((member_nat A) (collect_nat P))) (P A))) of role axiom named fact_125_mem__Collect__eq
% 0.77/0.96 A new axiom: (forall (A:nat) (P:(nat->Prop)), (((eq Prop) ((member_nat A) (collect_nat P))) (P A)))
% 0.77/0.96 FOF formula (forall (A:int) (P:(int->Prop)), (((eq Prop) ((member_int A) (collect_int P))) (P A))) of role axiom named fact_126_mem__Collect__eq
% 0.77/0.96 A new axiom: (forall (A:int) (P:(int->Prop)), (((eq Prop) ((member_int A) (collect_int P))) (P A)))
% 0.77/0.96 FOF formula (forall (A2:set_real), (((eq set_real) (collect_real (fun (X2:real)=> ((member_real X2) A2)))) A2)) of role axiom named fact_127_Collect__mem__eq
% 0.77/0.96 A new axiom: (forall (A2:set_real), (((eq set_real) (collect_real (fun (X2:real)=> ((member_real X2) A2)))) A2))
% 0.77/0.97 FOF formula (forall (A2:set_complex), (((eq set_complex) (collect_complex (fun (X2:complex)=> ((member_complex X2) A2)))) A2)) of role axiom named fact_128_Collect__mem__eq
% 0.77/0.97 A new axiom: (forall (A2:set_complex), (((eq set_complex) (collect_complex (fun (X2:complex)=> ((member_complex X2) A2)))) A2))
% 0.77/0.97 FOF formula (forall (A2:set_list_nat), (((eq set_list_nat) (collect_list_nat (fun (X2:list_nat)=> ((member_list_nat X2) A2)))) A2)) of role axiom named fact_129_Collect__mem__eq
% 0.77/0.97 A new axiom: (forall (A2:set_list_nat), (((eq set_list_nat) (collect_list_nat (fun (X2:list_nat)=> ((member_list_nat X2) A2)))) A2))
% 0.77/0.97 FOF formula (forall (A2:set_set_nat), (((eq set_set_nat) (collect_set_nat (fun (X2:set_nat)=> ((member_set_nat X2) A2)))) A2)) of role axiom named fact_130_Collect__mem__eq
% 0.77/0.97 A new axiom: (forall (A2:set_set_nat), (((eq set_set_nat) (collect_set_nat (fun (X2:set_nat)=> ((member_set_nat X2) A2)))) A2))
% 0.77/0.97 FOF formula (forall (A2:set_nat), (((eq set_nat) (collect_nat (fun (X2:nat)=> ((member_nat X2) A2)))) A2)) of role axiom named fact_131_Collect__mem__eq
% 0.77/0.97 A new axiom: (forall (A2:set_nat), (((eq set_nat) (collect_nat (fun (X2:nat)=> ((member_nat X2) A2)))) A2))
% 0.77/0.97 FOF formula (forall (A2:set_int), (((eq set_int) (collect_int (fun (X2:int)=> ((member_int X2) A2)))) A2)) of role axiom named fact_132_Collect__mem__eq
% 0.77/0.97 A new axiom: (forall (A2:set_int), (((eq set_int) (collect_int (fun (X2:int)=> ((member_int X2) A2)))) A2))
% 0.77/0.97 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_133_Collect__cong
% 0.77/0.97 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))))
% 0.77/0.97 FOF formula (forall (P:(list_nat->Prop)) (Q:(list_nat->Prop)), ((forall (X3:list_nat), (((eq Prop) (P X3)) (Q X3)))->(((eq set_list_nat) (collect_list_nat P)) (collect_list_nat Q)))) of role axiom named fact_134_Collect__cong
% 0.77/0.97 A new axiom: (forall (P:(list_nat->Prop)) (Q:(list_nat->Prop)), ((forall (X3:list_nat), (((eq Prop) (P X3)) (Q X3)))->(((eq set_list_nat) (collect_list_nat P)) (collect_list_nat Q))))
% 0.77/0.97 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_135_Collect__cong
% 0.77/0.97 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))))
% 0.77/0.97 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_136_Collect__cong
% 0.77/0.97 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))))
% 0.77/0.97 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_137_Collect__cong
% 0.77/0.97 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))))
% 0.77/0.97 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_num (bit0 M)) (bit0 N))) ((ord_less_num M) N))) of role axiom named fact_138_semiring__norm_I78_J
% 0.77/0.97 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_num (bit0 M)) (bit0 N))) ((ord_less_num M) N)))
% 0.77/0.97 FOF formula (forall (N:num), ((ord_less_eq_num one) N)) of role axiom named fact_139_semiring__norm_I68_J
% 0.77/0.97 A new axiom: (forall (N:num), ((ord_less_eq_num one) N))
% 0.77/0.97 FOF formula (forall (M:num), (((ord_less_num M) one)->False)) of role axiom named fact_140_semiring__norm_I75_J
% 0.77/0.97 A new axiom: (forall (M:num), (((ord_less_num M) one)->False))
% 0.77/0.97 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_141_numeral__le__iff
% 0.77/0.98 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)))
% 0.77/0.98 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_142_numeral__le__iff
% 0.77/0.98 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)))
% 0.77/0.98 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_143_numeral__le__iff
% 0.77/0.98 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)))
% 0.77/0.98 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_144_numeral__le__iff
% 0.77/0.98 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)))
% 0.77/0.98 FOF formula (forall (X:num), (((eq Prop) ((ord_less_eq_num X) one)) (((eq num) X) one))) of role axiom named fact_145_le__num__One__iff
% 0.77/0.98 A new axiom: (forall (X:num), (((eq Prop) ((ord_less_eq_num X) one)) (((eq num) X) one)))
% 0.77/0.98 FOF formula (forall (M:nat) (N:nat), (((eq Prop) (not (((eq nat) M) N))) ((or ((ord_less_nat M) N)) ((ord_less_nat N) M)))) of role axiom named fact_146_nat__neq__iff
% 0.77/0.98 A new axiom: (forall (M:nat) (N:nat), (((eq Prop) (not (((eq nat) M) N))) ((or ((ord_less_nat M) N)) ((ord_less_nat N) M))))
% 0.77/0.98 FOF formula (forall (N:nat), (((ord_less_nat N) N)->False)) of role axiom named fact_147_less__not__refl
% 0.77/0.98 A new axiom: (forall (N:nat), (((ord_less_nat N) N)->False))
% 0.77/0.98 FOF formula (forall (N:nat) (M:nat), (((ord_less_nat N) M)->(not (((eq nat) M) N)))) of role axiom named fact_148_less__not__refl2
% 0.77/0.98 A new axiom: (forall (N:nat) (M:nat), (((ord_less_nat N) M)->(not (((eq nat) M) N))))
% 0.77/0.98 FOF formula (forall (S:nat) (T:nat), (((ord_less_nat S) T)->(not (((eq nat) S) T)))) of role axiom named fact_149_less__not__refl3
% 0.77/0.98 A new axiom: (forall (S:nat) (T:nat), (((ord_less_nat S) T)->(not (((eq nat) S) T))))
% 0.77/0.98 FOF formula (forall (N:nat), (((ord_less_nat N) N)->False)) of role axiom named fact_150_less__irrefl__nat
% 0.77/0.98 A new axiom: (forall (N:nat), (((ord_less_nat N) N)->False))
% 0.77/0.98 FOF formula (forall (P:(nat->Prop)) (N:nat), ((forall (N2:nat), ((forall (M2:nat), (((ord_less_nat M2) N2)->(P M2)))->(P N2)))->(P N))) of role axiom named fact_151_nat__less__induct
% 0.77/0.98 A new axiom: (forall (P:(nat->Prop)) (N:nat), ((forall (N2:nat), ((forall (M2:nat), (((ord_less_nat M2) N2)->(P M2)))->(P N2)))->(P N)))
% 0.77/0.98 FOF formula (forall (P:(nat->Prop)) (N:nat), ((forall (N2:nat), (((P N2)->False)->((ex nat) (fun (M2:nat)=> ((and ((ord_less_nat M2) N2)) ((P M2)->False))))))->(P N))) of role axiom named fact_152_infinite__descent
% 0.77/0.98 A new axiom: (forall (P:(nat->Prop)) (N:nat), ((forall (N2:nat), (((P N2)->False)->((ex nat) (fun (M2:nat)=> ((and ((ord_less_nat M2) N2)) ((P M2)->False))))))->(P N)))
% 0.77/0.98 FOF formula (forall (X:nat) (Y:nat), ((not (((eq nat) X) Y))->((((ord_less_nat X) Y)->False)->((ord_less_nat Y) X)))) of role axiom named fact_153_linorder__neqE__nat
% 0.77/0.98 A new axiom: (forall (X:nat) (Y:nat), ((not (((eq nat) X) Y))->((((ord_less_nat X) Y)->False)->((ord_less_nat Y) X))))
% 0.77/0.98 FOF formula (forall (N:nat), ((ord_less_eq_nat N) N)) of role axiom named fact_154_le__refl
% 0.77/0.98 A new axiom: (forall (N:nat), ((ord_less_eq_nat N) N))
% 0.77/0.98 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_155_le__trans
% 0.77/0.98 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))))
% 0.77/0.98 FOF formula (forall (M:nat) (N:nat), ((((eq nat) M) N)->((ord_less_eq_nat M) N))) of role axiom named fact_156_eq__imp__le
% 0.77/0.98 A new axiom: (forall (M:nat) (N:nat), ((((eq nat) M) N)->((ord_less_eq_nat M) N)))
% 0.77/0.99 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_157_le__antisym
% 0.77/0.99 A new axiom: (forall (M:nat) (N:nat), (((ord_less_eq_nat M) N)->(((ord_less_eq_nat N) M)->(((eq nat) M) N))))
% 0.77/0.99 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_158_nat__le__linear
% 0.77/0.99 A new axiom: (forall (M:nat) (N:nat), ((or ((ord_less_eq_nat M) N)) ((ord_less_eq_nat N) M)))
% 0.77/0.99 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_159_Nat_Oex__has__greatest__nat
% 0.77/0.99 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)))))))))
% 0.77/0.99 FOF formula (forall (Xs:list_complex) (B2:set_complex), (((eq Prop) ((ord_le211207098394363844omplex (set_complex2 Xs)) B2)) (forall (X2:complex), (((member_complex X2) (set_complex2 Xs))->((member_complex X2) B2))))) of role axiom named fact_160_subset__code_I1_J
% 0.77/0.99 A new axiom: (forall (Xs:list_complex) (B2:set_complex), (((eq Prop) ((ord_le211207098394363844omplex (set_complex2 Xs)) B2)) (forall (X2:complex), (((member_complex X2) (set_complex2 Xs))->((member_complex X2) B2)))))
% 0.77/0.99 FOF formula (forall (Xs:list_set_nat) (B2:set_set_nat), (((eq Prop) ((ord_le6893508408891458716et_nat (set_set_nat2 Xs)) B2)) (forall (X2:set_nat), (((member_set_nat X2) (set_set_nat2 Xs))->((member_set_nat X2) B2))))) of role axiom named fact_161_subset__code_I1_J
% 0.77/0.99 A new axiom: (forall (Xs:list_set_nat) (B2:set_set_nat), (((eq Prop) ((ord_le6893508408891458716et_nat (set_set_nat2 Xs)) B2)) (forall (X2:set_nat), (((member_set_nat X2) (set_set_nat2 Xs))->((member_set_nat X2) B2)))))
% 0.77/0.99 FOF formula (forall (Xs:list_nat) (B2:set_nat), (((eq Prop) ((ord_less_eq_set_nat (set_nat2 Xs)) B2)) (forall (X2:nat), (((member_nat X2) (set_nat2 Xs))->((member_nat X2) B2))))) of role axiom named fact_162_subset__code_I1_J
% 0.77/0.99 A new axiom: (forall (Xs:list_nat) (B2:set_nat), (((eq Prop) ((ord_less_eq_set_nat (set_nat2 Xs)) B2)) (forall (X2:nat), (((member_nat X2) (set_nat2 Xs))->((member_nat X2) B2)))))
% 0.77/0.99 FOF formula (forall (Xs:list_VEBT_VEBT) (B2:set_VEBT_VEBT), (((eq Prop) ((ord_le4337996190870823476T_VEBT (set_VEBT_VEBT2 Xs)) B2)) (forall (X2:vEBT_VEBT), (((member_VEBT_VEBT X2) (set_VEBT_VEBT2 Xs))->((member_VEBT_VEBT X2) B2))))) of role axiom named fact_163_subset__code_I1_J
% 0.77/0.99 A new axiom: (forall (Xs:list_VEBT_VEBT) (B2:set_VEBT_VEBT), (((eq Prop) ((ord_le4337996190870823476T_VEBT (set_VEBT_VEBT2 Xs)) B2)) (forall (X2:vEBT_VEBT), (((member_VEBT_VEBT X2) (set_VEBT_VEBT2 Xs))->((member_VEBT_VEBT X2) B2)))))
% 0.77/0.99 FOF formula (forall (Xs:list_real) (B2:set_real), (((eq Prop) ((ord_less_eq_set_real (set_real2 Xs)) B2)) (forall (X2:real), (((member_real X2) (set_real2 Xs))->((member_real X2) B2))))) of role axiom named fact_164_subset__code_I1_J
% 0.77/0.99 A new axiom: (forall (Xs:list_real) (B2:set_real), (((eq Prop) ((ord_less_eq_set_real (set_real2 Xs)) B2)) (forall (X2:real), (((member_real X2) (set_real2 Xs))->((member_real X2) B2)))))
% 0.77/0.99 FOF formula (forall (Xs:list_int) (B2:set_int), (((eq Prop) ((ord_less_eq_set_int (set_int2 Xs)) B2)) (forall (X2:int), (((member_int X2) (set_int2 Xs))->((member_int X2) B2))))) of role axiom named fact_165_subset__code_I1_J
% 0.77/0.99 A new axiom: (forall (Xs:list_int) (B2:set_int), (((eq Prop) ((ord_less_eq_set_int (set_int2 Xs)) B2)) (forall (X2:int), (((member_int X2) (set_int2 Xs))->((member_int X2) B2)))))
% 0.77/0.99 FOF formula (forall (T:list_nat), (((eq list_nat) ((map_nat_nat (fun (X2:nat)=> X2)) T)) T)) of role axiom named fact_166_list_Omap__ident
% 0.77/0.99 A new axiom: (forall (T:list_nat), (((eq list_nat) ((map_nat_nat (fun (X2:nat)=> X2)) T)) T))
% 0.77/0.99 FOF formula ((ord_less_eq_rat zero_zero_rat) zero_zero_rat) of role axiom named fact_167_le__numeral__extra_I3_J
% 0.77/1.00 A new axiom: ((ord_less_eq_rat zero_zero_rat) zero_zero_rat)
% 0.77/1.00 FOF formula ((ord_less_eq_nat zero_zero_nat) zero_zero_nat) of role axiom named fact_168_le__numeral__extra_I3_J
% 0.77/1.00 A new axiom: ((ord_less_eq_nat zero_zero_nat) zero_zero_nat)
% 0.77/1.00 FOF formula ((ord_less_eq_int zero_zero_int) zero_zero_int) of role axiom named fact_169_le__numeral__extra_I3_J
% 0.77/1.00 A new axiom: ((ord_less_eq_int zero_zero_int) zero_zero_int)
% 0.77/1.00 FOF formula ((ord_less_eq_real zero_zero_real) zero_zero_real) of role axiom named fact_170_le__numeral__extra_I3_J
% 0.77/1.00 A new axiom: ((ord_less_eq_real zero_zero_real) zero_zero_real)
% 0.77/1.00 FOF formula (((ord_less_real zero_zero_real) zero_zero_real)->False) of role axiom named fact_171_less__numeral__extra_I3_J
% 0.77/1.00 A new axiom: (((ord_less_real zero_zero_real) zero_zero_real)->False)
% 0.77/1.00 FOF formula (((ord_less_rat zero_zero_rat) zero_zero_rat)->False) of role axiom named fact_172_less__numeral__extra_I3_J
% 0.77/1.00 A new axiom: (((ord_less_rat zero_zero_rat) zero_zero_rat)->False)
% 0.77/1.00 FOF formula (((ord_less_nat zero_zero_nat) zero_zero_nat)->False) of role axiom named fact_173_less__numeral__extra_I3_J
% 0.77/1.00 A new axiom: (((ord_less_nat zero_zero_nat) zero_zero_nat)->False)
% 0.77/1.00 FOF formula (((ord_less_int zero_zero_int) zero_zero_int)->False) of role axiom named fact_174_less__numeral__extra_I3_J
% 0.77/1.00 A new axiom: (((ord_less_int zero_zero_int) zero_zero_int)->False)
% 0.77/1.00 FOF formula (forall (N:num), (not (((eq complex) zero_zero_complex) (numera6690914467698888265omplex N)))) of role axiom named fact_175_zero__neq__numeral
% 0.77/1.00 A new axiom: (forall (N:num), (not (((eq complex) zero_zero_complex) (numera6690914467698888265omplex N))))
% 0.77/1.00 FOF formula (forall (N:num), (not (((eq real) zero_zero_real) (numeral_numeral_real N)))) of role axiom named fact_176_zero__neq__numeral
% 0.77/1.00 A new axiom: (forall (N:num), (not (((eq real) zero_zero_real) (numeral_numeral_real N))))
% 0.77/1.00 FOF formula (forall (N:num), (not (((eq rat) zero_zero_rat) (numeral_numeral_rat N)))) of role axiom named fact_177_zero__neq__numeral
% 0.77/1.00 A new axiom: (forall (N:num), (not (((eq rat) zero_zero_rat) (numeral_numeral_rat N))))
% 0.77/1.00 FOF formula (forall (N:num), (not (((eq nat) zero_zero_nat) (numeral_numeral_nat N)))) of role axiom named fact_178_zero__neq__numeral
% 0.77/1.00 A new axiom: (forall (N:num), (not (((eq nat) zero_zero_nat) (numeral_numeral_nat N))))
% 0.77/1.00 FOF formula (forall (N:num), (not (((eq int) zero_zero_int) (numeral_numeral_int N)))) of role axiom named fact_179_zero__neq__numeral
% 0.77/1.00 A new axiom: (forall (N:num), (not (((eq int) zero_zero_int) (numeral_numeral_int N))))
% 0.77/1.00 FOF formula (forall (A:nat), (((ord_less_nat A) zero_zero_nat)->False)) of role axiom named fact_180_bot__nat__0_Oextremum__strict
% 0.77/1.00 A new axiom: (forall (A:nat), (((ord_less_nat A) zero_zero_nat)->False))
% 0.77/1.00 FOF formula (forall (N:nat), ((not (((eq nat) N) zero_zero_nat))->((ord_less_nat zero_zero_nat) N))) of role axiom named fact_181_gr0I
% 0.77/1.00 A new axiom: (forall (N:nat), ((not (((eq nat) N) zero_zero_nat))->((ord_less_nat zero_zero_nat) N)))
% 0.77/1.00 FOF formula (forall (N:nat), (((eq Prop) (((ord_less_nat zero_zero_nat) N)->False)) (((eq nat) N) zero_zero_nat))) of role axiom named fact_182_not__gr0
% 0.77/1.00 A new axiom: (forall (N:nat), (((eq Prop) (((ord_less_nat zero_zero_nat) N)->False)) (((eq nat) N) zero_zero_nat)))
% 0.77/1.00 FOF formula (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False)) of role axiom named fact_183_not__less0
% 0.77/1.00 A new axiom: (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False))
% 0.77/1.00 FOF formula (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False)) of role axiom named fact_184_less__zeroE
% 0.77/1.00 A new axiom: (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False))
% 0.77/1.00 FOF formula (forall (M:nat) (N:nat), (((ord_less_nat M) N)->(not (((eq nat) N) zero_zero_nat)))) of role axiom named fact_185_gr__implies__not0
% 0.77/1.00 A new axiom: (forall (M:nat) (N:nat), (((ord_less_nat M) N)->(not (((eq nat) N) zero_zero_nat))))
% 0.77/1.00 FOF formula (forall (P:(nat->Prop)) (N:nat), ((P zero_zero_nat)->((forall (N2:nat), (((ord_less_nat zero_zero_nat) N2)->(((P N2)->False)->((ex nat) (fun (M2:nat)=> ((and ((ord_less_nat M2) N2)) ((P M2)->False)))))))->(P N)))) of role axiom named fact_186_infinite__descent0
% 0.77/1.01 A new axiom: (forall (P:(nat->Prop)) (N:nat), ((P zero_zero_nat)->((forall (N2:nat), (((ord_less_nat zero_zero_nat) N2)->(((P N2)->False)->((ex nat) (fun (M2:nat)=> ((and ((ord_less_nat M2) N2)) ((P M2)->False)))))))->(P N))))
% 0.77/1.01 FOF formula (forall (N:nat) (A:real), (((ord_less_nat zero_zero_nat) N)->(((ord_less_real zero_zero_real) A)->((ex real) (fun (R:real)=> ((and ((ord_less_real zero_zero_real) R)) (((eq real) ((power_power_real R) N)) A))))))) of role axiom named fact_187_realpow__pos__nth
% 0.77/1.01 A new axiom: (forall (N:nat) (A:real), (((ord_less_nat zero_zero_nat) N)->(((ord_less_real zero_zero_real) A)->((ex real) (fun (R:real)=> ((and ((ord_less_real zero_zero_real) R)) (((eq real) ((power_power_real R) N)) A)))))))
% 0.77/1.01 FOF formula (forall (N:nat) (A:real), (((ord_less_nat zero_zero_nat) N)->(((ord_less_real zero_zero_real) A)->((ex real) (fun (X3:real)=> ((and ((and ((ord_less_real zero_zero_real) X3)) (((eq real) ((power_power_real X3) N)) A))) (forall (Y3:real), (((and ((ord_less_real zero_zero_real) Y3)) (((eq real) ((power_power_real Y3) N)) A))->(((eq real) Y3) X3))))))))) of role axiom named fact_188_realpow__pos__nth__unique
% 0.77/1.01 A new axiom: (forall (N:nat) (A:real), (((ord_less_nat zero_zero_nat) N)->(((ord_less_real zero_zero_real) A)->((ex real) (fun (X3:real)=> ((and ((and ((ord_less_real zero_zero_real) X3)) (((eq real) ((power_power_real X3) N)) A))) (forall (Y3:real), (((and ((ord_less_real zero_zero_real) Y3)) (((eq real) ((power_power_real Y3) N)) A))->(((eq real) Y3) X3)))))))))
% 0.77/1.01 FOF formula (forall (N:nat), ((ord_less_eq_nat zero_zero_nat) N)) of role axiom named fact_189_less__eq__nat_Osimps_I1_J
% 0.77/1.01 A new axiom: (forall (N:nat), ((ord_less_eq_nat zero_zero_nat) N))
% 0.77/1.01 FOF formula (forall (A:nat), (((eq Prop) ((ord_less_eq_nat A) zero_zero_nat)) (((eq nat) A) zero_zero_nat))) of role axiom named fact_190_bot__nat__0_Oextremum__unique
% 0.77/1.01 A new axiom: (forall (A:nat), (((eq Prop) ((ord_less_eq_nat A) zero_zero_nat)) (((eq nat) A) zero_zero_nat)))
% 0.77/1.01 FOF formula (forall (A:nat), (((ord_less_eq_nat A) zero_zero_nat)->(((eq nat) A) zero_zero_nat))) of role axiom named fact_191_bot__nat__0_Oextremum__uniqueI
% 0.77/1.01 A new axiom: (forall (A:nat), (((ord_less_eq_nat A) zero_zero_nat)->(((eq nat) A) zero_zero_nat)))
% 0.77/1.01 FOF formula (forall (N:nat), (((eq Prop) ((ord_less_eq_nat N) zero_zero_nat)) (((eq nat) N) zero_zero_nat))) of role axiom named fact_192_le__0__eq
% 0.77/1.01 A new axiom: (forall (N:nat), (((eq Prop) ((ord_less_eq_nat N) zero_zero_nat)) (((eq nat) N) zero_zero_nat)))
% 0.77/1.01 FOF formula (((eq (nat->(nat->Prop))) ord_less_nat) (fun (M3:nat) (N3:nat)=> ((and ((ord_less_eq_nat M3) N3)) (not (((eq nat) M3) N3))))) of role axiom named fact_193_nat__less__le
% 0.77/1.01 A new axiom: (((eq (nat->(nat->Prop))) ord_less_nat) (fun (M3:nat) (N3:nat)=> ((and ((ord_less_eq_nat M3) N3)) (not (((eq nat) M3) N3)))))
% 0.77/1.01 FOF formula (forall (M:nat) (N:nat), (((ord_less_nat M) N)->((ord_less_eq_nat M) N))) of role axiom named fact_194_less__imp__le__nat
% 0.77/1.01 A new axiom: (forall (M:nat) (N:nat), (((ord_less_nat M) N)->((ord_less_eq_nat M) N)))
% 0.77/1.01 FOF formula (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (M3:nat) (N3:nat)=> ((or ((ord_less_nat M3) N3)) (((eq nat) M3) N3)))) of role axiom named fact_195_le__eq__less__or__eq
% 0.77/1.01 A new axiom: (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (M3:nat) (N3:nat)=> ((or ((ord_less_nat M3) N3)) (((eq nat) M3) N3))))
% 0.77/1.01 FOF formula (forall (M:nat) (N:nat), (((or ((ord_less_nat M) N)) (((eq nat) M) N))->((ord_less_eq_nat M) N))) of role axiom named fact_196_less__or__eq__imp__le
% 0.77/1.01 A new axiom: (forall (M:nat) (N:nat), (((or ((ord_less_nat M) N)) (((eq nat) M) N))->((ord_less_eq_nat M) N)))
% 0.77/1.01 FOF formula (forall (M:nat) (N:nat), (((ord_less_eq_nat M) N)->((not (((eq nat) M) N))->((ord_less_nat M) N)))) of role axiom named fact_197_le__neq__implies__less
% 0.77/1.01 A new axiom: (forall (M:nat) (N:nat), (((ord_less_eq_nat M) N)->((not (((eq nat) M) N))->((ord_less_nat M) N))))
% 0.77/1.01 FOF formula (forall (F:(nat->nat)) (_TPTP_I:nat) (J:nat), ((forall (I2:nat) (J2:nat), (((ord_less_nat I2) J2)->((ord_less_nat (F I2)) (F J2))))->(((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat (F _TPTP_I)) (F J))))) of role axiom named fact_198_less__mono__imp__le__mono
% 0.77/1.02 A new axiom: (forall (F:(nat->nat)) (_TPTP_I:nat) (J:nat), ((forall (I2:nat) (J2:nat), (((ord_less_nat I2) J2)->((ord_less_nat (F I2)) (F J2))))->(((ord_less_eq_nat _TPTP_I) J)->((ord_less_eq_nat (F _TPTP_I)) (F J)))))
% 0.77/1.02 FOF formula (forall (X:list_nat) (Ya:list_nat) (F:(nat->nat)) (G:(nat->nat)), ((((eq list_nat) X) Ya)->((forall (Z:nat), (((member_nat Z) (set_nat2 Ya))->(((eq nat) (F Z)) (G Z))))->(((eq list_nat) ((map_nat_nat F) X)) ((map_nat_nat G) Ya))))) of role axiom named fact_199_list_Omap__cong
% 0.77/1.02 A new axiom: (forall (X:list_nat) (Ya:list_nat) (F:(nat->nat)) (G:(nat->nat)), ((((eq list_nat) X) Ya)->((forall (Z:nat), (((member_nat Z) (set_nat2 Ya))->(((eq nat) (F Z)) (G Z))))->(((eq list_nat) ((map_nat_nat F) X)) ((map_nat_nat G) Ya)))))
% 0.77/1.02 FOF formula (forall (X:list_VEBT_VEBT) (Ya:list_VEBT_VEBT) (F:(vEBT_VEBT->nat)) (G:(vEBT_VEBT->nat)), ((((eq list_VEBT_VEBT) X) Ya)->((forall (Z:vEBT_VEBT), (((member_VEBT_VEBT Z) (set_VEBT_VEBT2 Ya))->(((eq nat) (F Z)) (G Z))))->(((eq list_nat) ((map_VEBT_VEBT_nat F) X)) ((map_VEBT_VEBT_nat G) Ya))))) of role axiom named fact_200_list_Omap__cong
% 0.77/1.02 A new axiom: (forall (X:list_VEBT_VEBT) (Ya:list_VEBT_VEBT) (F:(vEBT_VEBT->nat)) (G:(vEBT_VEBT->nat)), ((((eq list_VEBT_VEBT) X) Ya)->((forall (Z:vEBT_VEBT), (((member_VEBT_VEBT Z) (set_VEBT_VEBT2 Ya))->(((eq nat) (F Z)) (G Z))))->(((eq list_nat) ((map_VEBT_VEBT_nat F) X)) ((map_VEBT_VEBT_nat G) Ya)))))
% 0.77/1.02 FOF formula (forall (X:list_VEBT_VEBT) (Ya:list_VEBT_VEBT) (F:(vEBT_VEBT->real)) (G:(vEBT_VEBT->real)), ((((eq list_VEBT_VEBT) X) Ya)->((forall (Z:vEBT_VEBT), (((member_VEBT_VEBT Z) (set_VEBT_VEBT2 Ya))->(((eq real) (F Z)) (G Z))))->(((eq list_real) ((map_VEBT_VEBT_real F) X)) ((map_VEBT_VEBT_real G) Ya))))) of role axiom named fact_201_list_Omap__cong
% 0.77/1.02 A new axiom: (forall (X:list_VEBT_VEBT) (Ya:list_VEBT_VEBT) (F:(vEBT_VEBT->real)) (G:(vEBT_VEBT->real)), ((((eq list_VEBT_VEBT) X) Ya)->((forall (Z:vEBT_VEBT), (((member_VEBT_VEBT Z) (set_VEBT_VEBT2 Ya))->(((eq real) (F Z)) (G Z))))->(((eq list_real) ((map_VEBT_VEBT_real F) X)) ((map_VEBT_VEBT_real G) Ya)))))
% 0.77/1.02 FOF formula (forall (X:list_nat) (F:(nat->nat)) (G:(nat->nat)), ((forall (Z:nat), (((member_nat Z) (set_nat2 X))->(((eq nat) (F Z)) (G Z))))->(((eq list_nat) ((map_nat_nat F) X)) ((map_nat_nat G) X)))) of role axiom named fact_202_list_Omap__cong0
% 0.77/1.02 A new axiom: (forall (X:list_nat) (F:(nat->nat)) (G:(nat->nat)), ((forall (Z:nat), (((member_nat Z) (set_nat2 X))->(((eq nat) (F Z)) (G Z))))->(((eq list_nat) ((map_nat_nat F) X)) ((map_nat_nat G) X))))
% 0.77/1.02 FOF formula (forall (X:list_VEBT_VEBT) (F:(vEBT_VEBT->nat)) (G:(vEBT_VEBT->nat)), ((forall (Z:vEBT_VEBT), (((member_VEBT_VEBT Z) (set_VEBT_VEBT2 X))->(((eq nat) (F Z)) (G Z))))->(((eq list_nat) ((map_VEBT_VEBT_nat F) X)) ((map_VEBT_VEBT_nat G) X)))) of role axiom named fact_203_list_Omap__cong0
% 0.77/1.02 A new axiom: (forall (X:list_VEBT_VEBT) (F:(vEBT_VEBT->nat)) (G:(vEBT_VEBT->nat)), ((forall (Z:vEBT_VEBT), (((member_VEBT_VEBT Z) (set_VEBT_VEBT2 X))->(((eq nat) (F Z)) (G Z))))->(((eq list_nat) ((map_VEBT_VEBT_nat F) X)) ((map_VEBT_VEBT_nat G) X))))
% 0.77/1.02 FOF formula (forall (X:list_VEBT_VEBT) (F:(vEBT_VEBT->real)) (G:(vEBT_VEBT->real)), ((forall (Z:vEBT_VEBT), (((member_VEBT_VEBT Z) (set_VEBT_VEBT2 X))->(((eq real) (F Z)) (G Z))))->(((eq list_real) ((map_VEBT_VEBT_real F) X)) ((map_VEBT_VEBT_real G) X)))) of role axiom named fact_204_list_Omap__cong0
% 0.77/1.02 A new axiom: (forall (X:list_VEBT_VEBT) (F:(vEBT_VEBT->real)) (G:(vEBT_VEBT->real)), ((forall (Z:vEBT_VEBT), (((member_VEBT_VEBT Z) (set_VEBT_VEBT2 X))->(((eq real) (F Z)) (G Z))))->(((eq list_real) ((map_VEBT_VEBT_real F) X)) ((map_VEBT_VEBT_real G) X))))
% 0.77/1.02 FOF formula (forall (X:list_nat) (Xa:list_nat) (F:(nat->nat)) (Fa:(nat->nat)), ((forall (Z:nat) (Za:nat), (((member_nat Z) (set_nat2 X))->(((member_nat Za) (set_nat2 Xa))->((((eq nat) (F Z)) (Fa Za))->(((eq nat) Z) Za)))))->((((eq list_nat) ((map_nat_nat F) X)) ((map_nat_nat Fa) Xa))->(((eq list_nat) X) Xa)))) of role axiom named fact_205_list_Oinj__map__strong
% 0.86/1.03 A new axiom: (forall (X:list_nat) (Xa:list_nat) (F:(nat->nat)) (Fa:(nat->nat)), ((forall (Z:nat) (Za:nat), (((member_nat Z) (set_nat2 X))->(((member_nat Za) (set_nat2 Xa))->((((eq nat) (F Z)) (Fa Za))->(((eq nat) Z) Za)))))->((((eq list_nat) ((map_nat_nat F) X)) ((map_nat_nat Fa) Xa))->(((eq list_nat) X) Xa))))
% 0.86/1.03 FOF formula (forall (X:list_VEBT_VEBT) (Xa:list_VEBT_VEBT) (F:(vEBT_VEBT->nat)) (Fa:(vEBT_VEBT->nat)), ((forall (Z:vEBT_VEBT) (Za:vEBT_VEBT), (((member_VEBT_VEBT Z) (set_VEBT_VEBT2 X))->(((member_VEBT_VEBT Za) (set_VEBT_VEBT2 Xa))->((((eq nat) (F Z)) (Fa Za))->(((eq vEBT_VEBT) Z) Za)))))->((((eq list_nat) ((map_VEBT_VEBT_nat F) X)) ((map_VEBT_VEBT_nat Fa) Xa))->(((eq list_VEBT_VEBT) X) Xa)))) of role axiom named fact_206_list_Oinj__map__strong
% 0.86/1.03 A new axiom: (forall (X:list_VEBT_VEBT) (Xa:list_VEBT_VEBT) (F:(vEBT_VEBT->nat)) (Fa:(vEBT_VEBT->nat)), ((forall (Z:vEBT_VEBT) (Za:vEBT_VEBT), (((member_VEBT_VEBT Z) (set_VEBT_VEBT2 X))->(((member_VEBT_VEBT Za) (set_VEBT_VEBT2 Xa))->((((eq nat) (F Z)) (Fa Za))->(((eq vEBT_VEBT) Z) Za)))))->((((eq list_nat) ((map_VEBT_VEBT_nat F) X)) ((map_VEBT_VEBT_nat Fa) Xa))->(((eq list_VEBT_VEBT) X) Xa))))
% 0.86/1.03 FOF formula (forall (X:list_VEBT_VEBT) (Xa:list_VEBT_VEBT) (F:(vEBT_VEBT->real)) (Fa:(vEBT_VEBT->real)), ((forall (Z:vEBT_VEBT) (Za:vEBT_VEBT), (((member_VEBT_VEBT Z) (set_VEBT_VEBT2 X))->(((member_VEBT_VEBT Za) (set_VEBT_VEBT2 Xa))->((((eq real) (F Z)) (Fa Za))->(((eq vEBT_VEBT) Z) Za)))))->((((eq list_real) ((map_VEBT_VEBT_real F) X)) ((map_VEBT_VEBT_real Fa) Xa))->(((eq list_VEBT_VEBT) X) Xa)))) of role axiom named fact_207_list_Oinj__map__strong
% 0.86/1.03 A new axiom: (forall (X:list_VEBT_VEBT) (Xa:list_VEBT_VEBT) (F:(vEBT_VEBT->real)) (Fa:(vEBT_VEBT->real)), ((forall (Z:vEBT_VEBT) (Za:vEBT_VEBT), (((member_VEBT_VEBT Z) (set_VEBT_VEBT2 X))->(((member_VEBT_VEBT Za) (set_VEBT_VEBT2 Xa))->((((eq real) (F Z)) (Fa Za))->(((eq vEBT_VEBT) Z) Za)))))->((((eq list_real) ((map_VEBT_VEBT_real F) X)) ((map_VEBT_VEBT_real Fa) Xa))->(((eq list_VEBT_VEBT) X) Xa))))
% 0.86/1.03 FOF formula (forall (Xs:list_nat) (F:(nat->nat)) (G:(nat->nat)), ((forall (X3:nat), (((member_nat X3) (set_nat2 Xs))->(((eq nat) (F X3)) (G X3))))->(((eq list_nat) ((map_nat_nat F) Xs)) ((map_nat_nat G) Xs)))) of role axiom named fact_208_map__ext
% 0.86/1.03 A new axiom: (forall (Xs:list_nat) (F:(nat->nat)) (G:(nat->nat)), ((forall (X3:nat), (((member_nat X3) (set_nat2 Xs))->(((eq nat) (F X3)) (G X3))))->(((eq list_nat) ((map_nat_nat F) Xs)) ((map_nat_nat G) Xs))))
% 0.86/1.03 FOF formula (forall (Xs:list_VEBT_VEBT) (F:(vEBT_VEBT->nat)) (G:(vEBT_VEBT->nat)), ((forall (X3:vEBT_VEBT), (((member_VEBT_VEBT X3) (set_VEBT_VEBT2 Xs))->(((eq nat) (F X3)) (G X3))))->(((eq list_nat) ((map_VEBT_VEBT_nat F) Xs)) ((map_VEBT_VEBT_nat G) Xs)))) of role axiom named fact_209_map__ext
% 0.86/1.03 A new axiom: (forall (Xs:list_VEBT_VEBT) (F:(vEBT_VEBT->nat)) (G:(vEBT_VEBT->nat)), ((forall (X3:vEBT_VEBT), (((member_VEBT_VEBT X3) (set_VEBT_VEBT2 Xs))->(((eq nat) (F X3)) (G X3))))->(((eq list_nat) ((map_VEBT_VEBT_nat F) Xs)) ((map_VEBT_VEBT_nat G) Xs))))
% 0.86/1.03 FOF formula (forall (Xs:list_VEBT_VEBT) (F:(vEBT_VEBT->real)) (G:(vEBT_VEBT->real)), ((forall (X3:vEBT_VEBT), (((member_VEBT_VEBT X3) (set_VEBT_VEBT2 Xs))->(((eq real) (F X3)) (G X3))))->(((eq list_real) ((map_VEBT_VEBT_real F) Xs)) ((map_VEBT_VEBT_real G) Xs)))) of role axiom named fact_210_map__ext
% 0.86/1.03 A new axiom: (forall (Xs:list_VEBT_VEBT) (F:(vEBT_VEBT->real)) (G:(vEBT_VEBT->real)), ((forall (X3:vEBT_VEBT), (((member_VEBT_VEBT X3) (set_VEBT_VEBT2 Xs))->(((eq real) (F X3)) (G X3))))->(((eq list_real) ((map_VEBT_VEBT_real F) Xs)) ((map_VEBT_VEBT_real G) Xs))))
% 0.86/1.03 FOF formula (forall (Xs:list_complex) (F:(complex->complex)), ((forall (X3:complex), (((member_complex X3) (set_complex2 Xs))->(((eq complex) (F X3)) X3)))->(((eq list_complex) ((map_complex_complex F) Xs)) Xs))) of role axiom named fact_211_map__idI
% 0.86/1.03 A new axiom: (forall (Xs:list_complex) (F:(complex->complex)), ((forall (X3:complex), (((member_complex X3) (set_complex2 Xs))->(((eq complex) (F X3)) X3)))->(((eq list_complex) ((map_complex_complex F) Xs)) Xs)))
% 0.86/1.03 FOF formula (forall (Xs:list_set_nat) (F:(set_nat->set_nat)), ((forall (X3:set_nat), (((member_set_nat X3) (set_set_nat2 Xs))->(((eq set_nat) (F X3)) X3)))->(((eq list_set_nat) ((map_set_nat_set_nat F) Xs)) Xs))) of role axiom named fact_212_map__idI
% 0.86/1.04 A new axiom: (forall (Xs:list_set_nat) (F:(set_nat->set_nat)), ((forall (X3:set_nat), (((member_set_nat X3) (set_set_nat2 Xs))->(((eq set_nat) (F X3)) X3)))->(((eq list_set_nat) ((map_set_nat_set_nat F) Xs)) Xs)))
% 0.86/1.04 FOF formula (forall (Xs:list_nat) (F:(nat->nat)), ((forall (X3:nat), (((member_nat X3) (set_nat2 Xs))->(((eq nat) (F X3)) X3)))->(((eq list_nat) ((map_nat_nat F) Xs)) Xs))) of role axiom named fact_213_map__idI
% 0.86/1.04 A new axiom: (forall (Xs:list_nat) (F:(nat->nat)), ((forall (X3:nat), (((member_nat X3) (set_nat2 Xs))->(((eq nat) (F X3)) X3)))->(((eq list_nat) ((map_nat_nat F) Xs)) Xs)))
% 0.86/1.04 FOF formula (forall (Xs:list_VEBT_VEBT) (F:(vEBT_VEBT->vEBT_VEBT)), ((forall (X3:vEBT_VEBT), (((member_VEBT_VEBT X3) (set_VEBT_VEBT2 Xs))->(((eq vEBT_VEBT) (F X3)) X3)))->(((eq list_VEBT_VEBT) ((map_VE8901447254227204932T_VEBT F) Xs)) Xs))) of role axiom named fact_214_map__idI
% 0.86/1.04 A new axiom: (forall (Xs:list_VEBT_VEBT) (F:(vEBT_VEBT->vEBT_VEBT)), ((forall (X3:vEBT_VEBT), (((member_VEBT_VEBT X3) (set_VEBT_VEBT2 Xs))->(((eq vEBT_VEBT) (F X3)) X3)))->(((eq list_VEBT_VEBT) ((map_VE8901447254227204932T_VEBT F) Xs)) Xs)))
% 0.86/1.04 FOF formula (forall (Xs:list_real) (F:(real->real)), ((forall (X3:real), (((member_real X3) (set_real2 Xs))->(((eq real) (F X3)) X3)))->(((eq list_real) ((map_real_real F) Xs)) Xs))) of role axiom named fact_215_map__idI
% 0.86/1.04 A new axiom: (forall (Xs:list_real) (F:(real->real)), ((forall (X3:real), (((member_real X3) (set_real2 Xs))->(((eq real) (F X3)) X3)))->(((eq list_real) ((map_real_real F) Xs)) Xs)))
% 0.86/1.04 FOF formula (forall (Xs:list_int) (F:(int->int)), ((forall (X3:int), (((member_int X3) (set_int2 Xs))->(((eq int) (F X3)) X3)))->(((eq list_int) ((map_int_int F) Xs)) Xs))) of role axiom named fact_216_map__idI
% 0.86/1.04 A new axiom: (forall (Xs:list_int) (F:(int->int)), ((forall (X3:int), (((member_int X3) (set_int2 Xs))->(((eq int) (F X3)) X3)))->(((eq list_int) ((map_int_int F) Xs)) Xs)))
% 0.86/1.04 FOF formula (forall (Xs:list_nat) (Ys:list_nat) (F:(nat->nat)) (G:(nat->nat)), ((((eq list_nat) Xs) Ys)->((forall (X3:nat), (((member_nat X3) (set_nat2 Ys))->(((eq nat) (F X3)) (G X3))))->(((eq list_nat) ((map_nat_nat F) Xs)) ((map_nat_nat G) Ys))))) of role axiom named fact_217_map__cong
% 0.86/1.04 A new axiom: (forall (Xs:list_nat) (Ys:list_nat) (F:(nat->nat)) (G:(nat->nat)), ((((eq list_nat) Xs) Ys)->((forall (X3:nat), (((member_nat X3) (set_nat2 Ys))->(((eq nat) (F X3)) (G X3))))->(((eq list_nat) ((map_nat_nat F) Xs)) ((map_nat_nat G) Ys)))))
% 0.86/1.04 FOF formula (forall (Xs:list_VEBT_VEBT) (Ys:list_VEBT_VEBT) (F:(vEBT_VEBT->nat)) (G:(vEBT_VEBT->nat)), ((((eq list_VEBT_VEBT) Xs) Ys)->((forall (X3:vEBT_VEBT), (((member_VEBT_VEBT X3) (set_VEBT_VEBT2 Ys))->(((eq nat) (F X3)) (G X3))))->(((eq list_nat) ((map_VEBT_VEBT_nat F) Xs)) ((map_VEBT_VEBT_nat G) Ys))))) of role axiom named fact_218_map__cong
% 0.86/1.04 A new axiom: (forall (Xs:list_VEBT_VEBT) (Ys:list_VEBT_VEBT) (F:(vEBT_VEBT->nat)) (G:(vEBT_VEBT->nat)), ((((eq list_VEBT_VEBT) Xs) Ys)->((forall (X3:vEBT_VEBT), (((member_VEBT_VEBT X3) (set_VEBT_VEBT2 Ys))->(((eq nat) (F X3)) (G X3))))->(((eq list_nat) ((map_VEBT_VEBT_nat F) Xs)) ((map_VEBT_VEBT_nat G) Ys)))))
% 0.86/1.04 FOF formula (forall (Xs:list_VEBT_VEBT) (Ys:list_VEBT_VEBT) (F:(vEBT_VEBT->real)) (G:(vEBT_VEBT->real)), ((((eq list_VEBT_VEBT) Xs) Ys)->((forall (X3:vEBT_VEBT), (((member_VEBT_VEBT X3) (set_VEBT_VEBT2 Ys))->(((eq real) (F X3)) (G X3))))->(((eq list_real) ((map_VEBT_VEBT_real F) Xs)) ((map_VEBT_VEBT_real G) Ys))))) of role axiom named fact_219_map__cong
% 0.86/1.04 A new axiom: (forall (Xs:list_VEBT_VEBT) (Ys:list_VEBT_VEBT) (F:(vEBT_VEBT->real)) (G:(vEBT_VEBT->real)), ((((eq list_VEBT_VEBT) Xs) Ys)->((forall (X3:vEBT_VEBT), (((member_VEBT_VEBT X3) (set_VEBT_VEBT2 Ys))->(((eq real) (F X3)) (G X3))))->(((eq list_real) ((map_VEBT_VEBT_real F) Xs)) ((map_VEBT_VEBT_real G) Ys)))))
% 0.86/1.04 FOF formula (forall (Ys:list_nat) (F:(nat->nat)), (((eq Prop) ((ex list_nat) (fun (Xs2:list_nat)=> (((eq list_nat) Ys) ((map_nat_nat F) Xs2))))) (forall (X2:nat), (((member_nat X2) (set_nat2 Ys))->((ex nat) (fun (Y4:nat)=> (((eq nat) X2) (F Y4)))))))) of role axiom named fact_220_ex__map__conv
% 0.86/1.05 A new axiom: (forall (Ys:list_nat) (F:(nat->nat)), (((eq Prop) ((ex list_nat) (fun (Xs2:list_nat)=> (((eq list_nat) Ys) ((map_nat_nat F) Xs2))))) (forall (X2:nat), (((member_nat X2) (set_nat2 Ys))->((ex nat) (fun (Y4:nat)=> (((eq nat) X2) (F Y4))))))))
% 0.86/1.05 FOF formula (forall (Ys:list_nat) (F:(vEBT_VEBT->nat)), (((eq Prop) ((ex list_VEBT_VEBT) (fun (Xs2:list_VEBT_VEBT)=> (((eq list_nat) Ys) ((map_VEBT_VEBT_nat F) Xs2))))) (forall (X2:nat), (((member_nat X2) (set_nat2 Ys))->((ex vEBT_VEBT) (fun (Y4:vEBT_VEBT)=> (((eq nat) X2) (F Y4)))))))) of role axiom named fact_221_ex__map__conv
% 0.86/1.05 A new axiom: (forall (Ys:list_nat) (F:(vEBT_VEBT->nat)), (((eq Prop) ((ex list_VEBT_VEBT) (fun (Xs2:list_VEBT_VEBT)=> (((eq list_nat) Ys) ((map_VEBT_VEBT_nat F) Xs2))))) (forall (X2:nat), (((member_nat X2) (set_nat2 Ys))->((ex vEBT_VEBT) (fun (Y4:vEBT_VEBT)=> (((eq nat) X2) (F Y4))))))))
% 0.86/1.05 FOF formula (forall (Ys:list_real) (F:(vEBT_VEBT->real)), (((eq Prop) ((ex list_VEBT_VEBT) (fun (Xs2:list_VEBT_VEBT)=> (((eq list_real) Ys) ((map_VEBT_VEBT_real F) Xs2))))) (forall (X2:real), (((member_real X2) (set_real2 Ys))->((ex vEBT_VEBT) (fun (Y4:vEBT_VEBT)=> (((eq real) X2) (F Y4)))))))) of role axiom named fact_222_ex__map__conv
% 0.86/1.05 A new axiom: (forall (Ys:list_real) (F:(vEBT_VEBT->real)), (((eq Prop) ((ex list_VEBT_VEBT) (fun (Xs2:list_VEBT_VEBT)=> (((eq list_real) Ys) ((map_VEBT_VEBT_real F) Xs2))))) (forall (X2:real), (((member_real X2) (set_real2 Ys))->((ex vEBT_VEBT) (fun (Y4:vEBT_VEBT)=> (((eq real) X2) (F Y4))))))))
% 0.86/1.05 FOF formula (forall (P:(nat->Prop)) (K:nat) (B:nat), ((P K)->((forall (Y2:nat), ((P Y2)->((ord_less_eq_nat Y2) B)))->(P (order_Greatest_nat P))))) of role axiom named fact_223_GreatestI__nat
% 0.86/1.05 A new axiom: (forall (P:(nat->Prop)) (K:nat) (B:nat), ((P K)->((forall (Y2:nat), ((P Y2)->((ord_less_eq_nat Y2) B)))->(P (order_Greatest_nat P)))))
% 0.86/1.05 FOF formula (forall (P:(nat->Prop)) (K:nat) (B:nat), ((P K)->((forall (Y2:nat), ((P Y2)->((ord_less_eq_nat Y2) B)))->((ord_less_eq_nat K) (order_Greatest_nat P))))) of role axiom named fact_224_Greatest__le__nat
% 0.86/1.05 A new axiom: (forall (P:(nat->Prop)) (K:nat) (B:nat), ((P K)->((forall (Y2:nat), ((P Y2)->((ord_less_eq_nat Y2) B)))->((ord_less_eq_nat K) (order_Greatest_nat P)))))
% 0.86/1.05 FOF formula (forall (P:(nat->Prop)) (B:nat), (((ex nat) (fun (X_1:nat)=> (P X_1)))->((forall (Y2:nat), ((P Y2)->((ord_less_eq_nat Y2) B)))->(P (order_Greatest_nat P))))) of role axiom named fact_225_GreatestI__ex__nat
% 0.86/1.05 A new axiom: (forall (P:(nat->Prop)) (B:nat), (((ex nat) (fun (X_1:nat)=> (P X_1)))->((forall (Y2:nat), ((P Y2)->((ord_less_eq_nat Y2) B)))->(P (order_Greatest_nat P)))))
% 0.86/1.05 FOF formula (forall (N:num), ((ord_less_eq_rat zero_zero_rat) (numeral_numeral_rat N))) of role axiom named fact_226_zero__le__numeral
% 0.86/1.05 A new axiom: (forall (N:num), ((ord_less_eq_rat zero_zero_rat) (numeral_numeral_rat N)))
% 0.86/1.05 FOF formula (forall (N:num), ((ord_less_eq_nat zero_zero_nat) (numeral_numeral_nat N))) of role axiom named fact_227_zero__le__numeral
% 0.86/1.05 A new axiom: (forall (N:num), ((ord_less_eq_nat zero_zero_nat) (numeral_numeral_nat N)))
% 0.86/1.05 FOF formula (forall (N:num), ((ord_less_eq_int zero_zero_int) (numeral_numeral_int N))) of role axiom named fact_228_zero__le__numeral
% 0.86/1.05 A new axiom: (forall (N:num), ((ord_less_eq_int zero_zero_int) (numeral_numeral_int N)))
% 0.86/1.05 FOF formula (forall (N:num), ((ord_less_eq_real zero_zero_real) (numeral_numeral_real N))) of role axiom named fact_229_zero__le__numeral
% 0.86/1.05 A new axiom: (forall (N:num), ((ord_less_eq_real zero_zero_real) (numeral_numeral_real N)))
% 0.86/1.05 FOF formula (forall (N:num), (((ord_less_eq_rat (numeral_numeral_rat N)) zero_zero_rat)->False)) of role axiom named fact_230_not__numeral__le__zero
% 0.86/1.05 A new axiom: (forall (N:num), (((ord_less_eq_rat (numeral_numeral_rat N)) zero_zero_rat)->False))
% 0.86/1.05 FOF formula (forall (N:num), (((ord_less_eq_nat (numeral_numeral_nat N)) zero_zero_nat)->False)) of role axiom named fact_231_not__numeral__le__zero
% 0.86/1.06 A new axiom: (forall (N:num), (((ord_less_eq_nat (numeral_numeral_nat N)) zero_zero_nat)->False))
% 0.86/1.06 FOF formula (forall (N:num), (((ord_less_eq_int (numeral_numeral_int N)) zero_zero_int)->False)) of role axiom named fact_232_not__numeral__le__zero
% 0.86/1.06 A new axiom: (forall (N:num), (((ord_less_eq_int (numeral_numeral_int N)) zero_zero_int)->False))
% 0.86/1.06 FOF formula (forall (N:num), (((ord_less_eq_real (numeral_numeral_real N)) zero_zero_real)->False)) of role axiom named fact_233_not__numeral__le__zero
% 0.86/1.06 A new axiom: (forall (N:num), (((ord_less_eq_real (numeral_numeral_real N)) zero_zero_real)->False))
% 0.86/1.06 FOF formula (forall (N:num), ((ord_less_real zero_zero_real) (numeral_numeral_real N))) of role axiom named fact_234_zero__less__numeral
% 0.86/1.06 A new axiom: (forall (N:num), ((ord_less_real zero_zero_real) (numeral_numeral_real N)))
% 0.86/1.06 FOF formula (forall (N:num), ((ord_less_rat zero_zero_rat) (numeral_numeral_rat N))) of role axiom named fact_235_zero__less__numeral
% 0.86/1.06 A new axiom: (forall (N:num), ((ord_less_rat zero_zero_rat) (numeral_numeral_rat N)))
% 0.86/1.06 FOF formula (forall (N:num), ((ord_less_nat zero_zero_nat) (numeral_numeral_nat N))) of role axiom named fact_236_zero__less__numeral
% 0.86/1.06 A new axiom: (forall (N:num), ((ord_less_nat zero_zero_nat) (numeral_numeral_nat N)))
% 0.86/1.06 FOF formula (forall (N:num), ((ord_less_int zero_zero_int) (numeral_numeral_int N))) of role axiom named fact_237_zero__less__numeral
% 0.86/1.06 A new axiom: (forall (N:num), ((ord_less_int zero_zero_int) (numeral_numeral_int N)))
% 0.86/1.06 FOF formula (forall (N:num), (((ord_less_real (numeral_numeral_real N)) zero_zero_real)->False)) of role axiom named fact_238_not__numeral__less__zero
% 0.86/1.06 A new axiom: (forall (N:num), (((ord_less_real (numeral_numeral_real N)) zero_zero_real)->False))
% 0.86/1.06 FOF formula (forall (N:num), (((ord_less_rat (numeral_numeral_rat N)) zero_zero_rat)->False)) of role axiom named fact_239_not__numeral__less__zero
% 0.86/1.06 A new axiom: (forall (N:num), (((ord_less_rat (numeral_numeral_rat N)) zero_zero_rat)->False))
% 0.86/1.06 FOF formula (forall (N:num), (((ord_less_nat (numeral_numeral_nat N)) zero_zero_nat)->False)) of role axiom named fact_240_not__numeral__less__zero
% 0.86/1.06 A new axiom: (forall (N:num), (((ord_less_nat (numeral_numeral_nat N)) zero_zero_nat)->False))
% 0.86/1.06 FOF formula (forall (N:num), (((ord_less_int (numeral_numeral_int N)) zero_zero_int)->False)) of role axiom named fact_241_not__numeral__less__zero
% 0.86/1.06 A new axiom: (forall (N:num), (((ord_less_int (numeral_numeral_int N)) zero_zero_int)->False))
% 0.86/1.06 FOF formula (forall (P:(nat->Prop)) (N:nat), ((P N)->(((P zero_zero_nat)->False)->((ex nat) (fun (K2:nat)=> ((and ((and ((ord_less_eq_nat K2) N)) (forall (I3:nat), (((ord_less_nat I3) K2)->((P I3)->False))))) (P K2))))))) of role axiom named fact_242_ex__least__nat__le
% 0.86/1.06 A new axiom: (forall (P:(nat->Prop)) (N:nat), ((P N)->(((P zero_zero_nat)->False)->((ex nat) (fun (K2:nat)=> ((and ((and ((ord_less_eq_nat K2) N)) (forall (I3:nat), (((ord_less_nat I3) K2)->((P I3)->False))))) (P K2)))))))
% 0.86/1.06 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_le2932123472753598470d_enat (numera1916890842035813515d_enat M)) (numera1916890842035813515d_enat N))) ((ord_less_eq_nat (numeral_numeral_nat M)) (numeral_numeral_nat N)))) of role axiom named fact_243_enat__ord__number_I1_J
% 0.86/1.06 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_le2932123472753598470d_enat (numera1916890842035813515d_enat M)) (numera1916890842035813515d_enat N))) ((ord_less_eq_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))))
% 0.86/1.06 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_le72135733267957522d_enat (numera1916890842035813515d_enat M)) (numera1916890842035813515d_enat N))) ((ord_less_nat (numeral_numeral_nat M)) (numeral_numeral_nat N)))) of role axiom named fact_244_enat__ord__number_I2_J
% 0.86/1.06 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_le72135733267957522d_enat (numera1916890842035813515d_enat M)) (numera1916890842035813515d_enat N))) ((ord_less_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))))
% 0.86/1.06 FOF formula (forall (N:nat), (((eq Prop) (((ord_less_nat zero_zero_nat) N)->False)) (((eq nat) N) zero_zero_nat))) of role axiom named fact_245_not__gr__zero
% 0.86/1.07 A new axiom: (forall (N:nat), (((eq Prop) (((ord_less_nat zero_zero_nat) N)->False)) (((eq nat) N) zero_zero_nat)))
% 0.86/1.07 FOF formula (forall (N:nat), (((eq Prop) ((ord_less_eq_nat N) zero_zero_nat)) (((eq nat) N) zero_zero_nat))) of role axiom named fact_246_le__zero__eq
% 0.86/1.07 A new axiom: (forall (N:nat), (((eq Prop) ((ord_less_eq_nat N) zero_zero_nat)) (((eq nat) N) zero_zero_nat)))
% 0.86/1.07 FOF formula (forall (K:num) (L:num), (((eq complex) ((power_power_complex (numera6690914467698888265omplex K)) (numeral_numeral_nat L))) (numera6690914467698888265omplex ((pow K) L)))) of role axiom named fact_247_power__numeral
% 0.86/1.07 A new axiom: (forall (K:num) (L:num), (((eq complex) ((power_power_complex (numera6690914467698888265omplex K)) (numeral_numeral_nat L))) (numera6690914467698888265omplex ((pow K) L))))
% 0.86/1.07 FOF formula (forall (K:num) (L:num), (((eq real) ((power_power_real (numeral_numeral_real K)) (numeral_numeral_nat L))) (numeral_numeral_real ((pow K) L)))) of role axiom named fact_248_power__numeral
% 0.86/1.07 A new axiom: (forall (K:num) (L:num), (((eq real) ((power_power_real (numeral_numeral_real K)) (numeral_numeral_nat L))) (numeral_numeral_real ((pow K) L))))
% 0.86/1.07 FOF formula (forall (K:num) (L:num), (((eq rat) ((power_power_rat (numeral_numeral_rat K)) (numeral_numeral_nat L))) (numeral_numeral_rat ((pow K) L)))) of role axiom named fact_249_power__numeral
% 0.86/1.07 A new axiom: (forall (K:num) (L:num), (((eq rat) ((power_power_rat (numeral_numeral_rat K)) (numeral_numeral_nat L))) (numeral_numeral_rat ((pow K) L))))
% 0.86/1.07 FOF formula (forall (K:num) (L:num), (((eq nat) ((power_power_nat (numeral_numeral_nat K)) (numeral_numeral_nat L))) (numeral_numeral_nat ((pow K) L)))) of role axiom named fact_250_power__numeral
% 0.86/1.07 A new axiom: (forall (K:num) (L:num), (((eq nat) ((power_power_nat (numeral_numeral_nat K)) (numeral_numeral_nat L))) (numeral_numeral_nat ((pow K) L))))
% 0.86/1.07 FOF formula (forall (K:num) (L:num), (((eq int) ((power_power_int (numeral_numeral_int K)) (numeral_numeral_nat L))) (numeral_numeral_int ((pow K) L)))) of role axiom named fact_251_power__numeral
% 0.86/1.07 A new axiom: (forall (K:num) (L:num), (((eq int) ((power_power_int (numeral_numeral_int K)) (numeral_numeral_nat L))) (numeral_numeral_int ((pow K) L))))
% 0.86/1.07 FOF formula (forall (A:vEBT_VEBT) (B2:set_VEBT_VEBT) (B:vEBT_VEBT), (((((member_VEBT_VEBT A) B2)->False)->(((eq vEBT_VEBT) A) B))->((member_VEBT_VEBT A) ((insert_VEBT_VEBT B) B2)))) of role axiom named fact_252_insertCI
% 0.86/1.07 A new axiom: (forall (A:vEBT_VEBT) (B2:set_VEBT_VEBT) (B:vEBT_VEBT), (((((member_VEBT_VEBT A) B2)->False)->(((eq vEBT_VEBT) A) B))->((member_VEBT_VEBT A) ((insert_VEBT_VEBT B) B2))))
% 0.86/1.07 FOF formula (forall (A:Prop) (B2:set_o) (B:Prop), (((((member_o A) B2)->False)->(((eq Prop) A) B))->((member_o A) ((insert_o B) B2)))) of role axiom named fact_253_insertCI
% 0.86/1.07 A new axiom: (forall (A:Prop) (B2:set_o) (B:Prop), (((((member_o A) B2)->False)->(((eq Prop) A) B))->((member_o A) ((insert_o B) B2))))
% 0.86/1.07 FOF formula (forall (A:complex) (B2:set_complex) (B:complex), (((((member_complex A) B2)->False)->(((eq complex) A) B))->((member_complex A) ((insert_complex B) B2)))) of role axiom named fact_254_insertCI
% 0.86/1.07 A new axiom: (forall (A:complex) (B2:set_complex) (B:complex), (((((member_complex A) B2)->False)->(((eq complex) A) B))->((member_complex A) ((insert_complex B) B2))))
% 0.86/1.07 FOF formula (forall (A:real) (B2:set_real) (B:real), (((((member_real A) B2)->False)->(((eq real) A) B))->((member_real A) ((insert_real B) B2)))) of role axiom named fact_255_insertCI
% 0.86/1.07 A new axiom: (forall (A:real) (B2:set_real) (B:real), (((((member_real A) B2)->False)->(((eq real) A) B))->((member_real A) ((insert_real B) B2))))
% 0.86/1.07 FOF formula (forall (A:set_nat) (B2:set_set_nat) (B:set_nat), (((((member_set_nat A) B2)->False)->(((eq set_nat) A) B))->((member_set_nat A) ((insert_set_nat B) B2)))) of role axiom named fact_256_insertCI
% 0.86/1.07 A new axiom: (forall (A:set_nat) (B2:set_set_nat) (B:set_nat), (((((member_set_nat A) B2)->False)->(((eq set_nat) A) B))->((member_set_nat A) ((insert_set_nat B) B2))))
% 0.86/1.07 FOF formula (forall (A:nat) (B2:set_nat) (B:nat), (((((member_nat A) B2)->False)->(((eq nat) A) B))->((member_nat A) ((insert_nat B) B2)))) of role axiom named fact_257_insertCI
% 0.86/1.08 A new axiom: (forall (A:nat) (B2:set_nat) (B:nat), (((((member_nat A) B2)->False)->(((eq nat) A) B))->((member_nat A) ((insert_nat B) B2))))
% 0.86/1.08 FOF formula (forall (A:int) (B2:set_int) (B:int), (((((member_int A) B2)->False)->(((eq int) A) B))->((member_int A) ((insert_int B) B2)))) of role axiom named fact_258_insertCI
% 0.86/1.08 A new axiom: (forall (A:int) (B2:set_int) (B:int), (((((member_int A) B2)->False)->(((eq int) A) B))->((member_int A) ((insert_int B) B2))))
% 0.86/1.08 FOF formula (forall (A:vEBT_VEBT) (B:vEBT_VEBT) (A2:set_VEBT_VEBT), (((eq Prop) ((member_VEBT_VEBT A) ((insert_VEBT_VEBT B) A2))) ((or (((eq vEBT_VEBT) A) B)) ((member_VEBT_VEBT A) A2)))) of role axiom named fact_259_insert__iff
% 0.86/1.08 A new axiom: (forall (A:vEBT_VEBT) (B:vEBT_VEBT) (A2:set_VEBT_VEBT), (((eq Prop) ((member_VEBT_VEBT A) ((insert_VEBT_VEBT B) A2))) ((or (((eq vEBT_VEBT) A) B)) ((member_VEBT_VEBT A) A2))))
% 0.86/1.08 FOF formula (forall (A:Prop) (B:Prop) (A2:set_o), (((eq Prop) ((member_o A) ((insert_o B) A2))) ((or (((eq Prop) A) B)) ((member_o A) A2)))) of role axiom named fact_260_insert__iff
% 0.86/1.08 A new axiom: (forall (A:Prop) (B:Prop) (A2:set_o), (((eq Prop) ((member_o A) ((insert_o B) A2))) ((or (((eq Prop) A) B)) ((member_o A) A2))))
% 0.86/1.08 FOF formula (forall (A:complex) (B:complex) (A2:set_complex), (((eq Prop) ((member_complex A) ((insert_complex B) A2))) ((or (((eq complex) A) B)) ((member_complex A) A2)))) of role axiom named fact_261_insert__iff
% 0.86/1.08 A new axiom: (forall (A:complex) (B:complex) (A2:set_complex), (((eq Prop) ((member_complex A) ((insert_complex B) A2))) ((or (((eq complex) A) B)) ((member_complex A) A2))))
% 0.86/1.08 FOF formula (forall (A:real) (B:real) (A2:set_real), (((eq Prop) ((member_real A) ((insert_real B) A2))) ((or (((eq real) A) B)) ((member_real A) A2)))) of role axiom named fact_262_insert__iff
% 0.86/1.08 A new axiom: (forall (A:real) (B:real) (A2:set_real), (((eq Prop) ((member_real A) ((insert_real B) A2))) ((or (((eq real) A) B)) ((member_real A) A2))))
% 0.86/1.08 FOF formula (forall (A:set_nat) (B:set_nat) (A2:set_set_nat), (((eq Prop) ((member_set_nat A) ((insert_set_nat B) A2))) ((or (((eq set_nat) A) B)) ((member_set_nat A) A2)))) of role axiom named fact_263_insert__iff
% 0.86/1.08 A new axiom: (forall (A:set_nat) (B:set_nat) (A2:set_set_nat), (((eq Prop) ((member_set_nat A) ((insert_set_nat B) A2))) ((or (((eq set_nat) A) B)) ((member_set_nat A) A2))))
% 0.86/1.08 FOF formula (forall (A:nat) (B:nat) (A2:set_nat), (((eq Prop) ((member_nat A) ((insert_nat B) A2))) ((or (((eq nat) A) B)) ((member_nat A) A2)))) of role axiom named fact_264_insert__iff
% 0.86/1.08 A new axiom: (forall (A:nat) (B:nat) (A2:set_nat), (((eq Prop) ((member_nat A) ((insert_nat B) A2))) ((or (((eq nat) A) B)) ((member_nat A) A2))))
% 0.86/1.08 FOF formula (forall (A:int) (B:int) (A2:set_int), (((eq Prop) ((member_int A) ((insert_int B) A2))) ((or (((eq int) A) B)) ((member_int A) A2)))) of role axiom named fact_265_insert__iff
% 0.86/1.08 A new axiom: (forall (A:int) (B:int) (A2:set_int), (((eq Prop) ((member_int A) ((insert_int B) A2))) ((or (((eq int) A) B)) ((member_int A) A2))))
% 0.86/1.08 FOF formula (forall (X:nat) (A2:set_nat), (((eq set_nat) ((insert_nat X) ((insert_nat X) A2))) ((insert_nat X) A2))) of role axiom named fact_266_insert__absorb2
% 0.86/1.08 A new axiom: (forall (X:nat) (A2:set_nat), (((eq set_nat) ((insert_nat X) ((insert_nat X) A2))) ((insert_nat X) A2)))
% 0.86/1.08 FOF formula (forall (X:int) (A2:set_int), (((eq set_int) ((insert_int X) ((insert_int X) A2))) ((insert_int X) A2))) of role axiom named fact_267_insert__absorb2
% 0.86/1.08 A new axiom: (forall (X:int) (A2:set_int), (((eq set_int) ((insert_int X) ((insert_int X) A2))) ((insert_int X) A2)))
% 0.86/1.08 FOF formula (forall (X:vEBT_VEBT) (A2:set_VEBT_VEBT), (((eq set_VEBT_VEBT) ((insert_VEBT_VEBT X) ((insert_VEBT_VEBT X) A2))) ((insert_VEBT_VEBT X) A2))) of role axiom named fact_268_insert__absorb2
% 0.86/1.08 A new axiom: (forall (X:vEBT_VEBT) (A2:set_VEBT_VEBT), (((eq set_VEBT_VEBT) ((insert_VEBT_VEBT X) ((insert_VEBT_VEBT X) A2))) ((insert_VEBT_VEBT X) A2)))
% 0.86/1.08 FOF formula (forall (X:real) (A2:set_real), (((eq set_real) ((insert_real X) ((insert_real X) A2))) ((insert_real X) A2))) of role axiom named fact_269_insert__absorb2
% 0.86/1.09 A new axiom: (forall (X:real) (A2:set_real), (((eq set_real) ((insert_real X) ((insert_real X) A2))) ((insert_real X) A2)))
% 0.86/1.09 FOF formula (forall (X:Prop) (A2:set_o), (((eq set_o) ((insert_o X) ((insert_o X) A2))) ((insert_o X) A2))) of role axiom named fact_270_insert__absorb2
% 0.86/1.09 A new axiom: (forall (X:Prop) (A2:set_o), (((eq set_o) ((insert_o X) ((insert_o X) A2))) ((insert_o X) A2)))
% 0.86/1.09 FOF formula (forall (X:vEBT_VEBT) (A2:set_VEBT_VEBT) (B2:set_VEBT_VEBT), (((eq Prop) ((ord_le4337996190870823476T_VEBT ((insert_VEBT_VEBT X) A2)) B2)) ((and ((member_VEBT_VEBT X) B2)) ((ord_le4337996190870823476T_VEBT A2) B2)))) of role axiom named fact_271_insert__subset
% 0.86/1.09 A new axiom: (forall (X:vEBT_VEBT) (A2:set_VEBT_VEBT) (B2:set_VEBT_VEBT), (((eq Prop) ((ord_le4337996190870823476T_VEBT ((insert_VEBT_VEBT X) A2)) B2)) ((and ((member_VEBT_VEBT X) B2)) ((ord_le4337996190870823476T_VEBT A2) B2))))
% 0.86/1.09 FOF formula (forall (X:Prop) (A2:set_o) (B2:set_o), (((eq Prop) ((ord_less_eq_set_o ((insert_o X) A2)) B2)) ((and ((member_o X) B2)) ((ord_less_eq_set_o A2) B2)))) of role axiom named fact_272_insert__subset
% 0.86/1.09 A new axiom: (forall (X:Prop) (A2:set_o) (B2:set_o), (((eq Prop) ((ord_less_eq_set_o ((insert_o X) A2)) B2)) ((and ((member_o X) B2)) ((ord_less_eq_set_o A2) B2))))
% 0.86/1.09 FOF formula (forall (X:complex) (A2:set_complex) (B2:set_complex), (((eq Prop) ((ord_le211207098394363844omplex ((insert_complex X) A2)) B2)) ((and ((member_complex X) B2)) ((ord_le211207098394363844omplex A2) B2)))) of role axiom named fact_273_insert__subset
% 0.86/1.09 A new axiom: (forall (X:complex) (A2:set_complex) (B2:set_complex), (((eq Prop) ((ord_le211207098394363844omplex ((insert_complex X) A2)) B2)) ((and ((member_complex X) B2)) ((ord_le211207098394363844omplex A2) B2))))
% 0.86/1.09 FOF formula (forall (X:real) (A2:set_real) (B2:set_real), (((eq Prop) ((ord_less_eq_set_real ((insert_real X) A2)) B2)) ((and ((member_real X) B2)) ((ord_less_eq_set_real A2) B2)))) of role axiom named fact_274_insert__subset
% 0.86/1.09 A new axiom: (forall (X:real) (A2:set_real) (B2:set_real), (((eq Prop) ((ord_less_eq_set_real ((insert_real X) A2)) B2)) ((and ((member_real X) B2)) ((ord_less_eq_set_real A2) B2))))
% 0.86/1.09 FOF formula (forall (X:set_nat) (A2:set_set_nat) (B2:set_set_nat), (((eq Prop) ((ord_le6893508408891458716et_nat ((insert_set_nat X) A2)) B2)) ((and ((member_set_nat X) B2)) ((ord_le6893508408891458716et_nat A2) B2)))) of role axiom named fact_275_insert__subset
% 0.86/1.09 A new axiom: (forall (X:set_nat) (A2:set_set_nat) (B2:set_set_nat), (((eq Prop) ((ord_le6893508408891458716et_nat ((insert_set_nat X) A2)) B2)) ((and ((member_set_nat X) B2)) ((ord_le6893508408891458716et_nat A2) B2))))
% 0.86/1.09 FOF formula (forall (X:nat) (A2:set_nat) (B2:set_nat), (((eq Prop) ((ord_less_eq_set_nat ((insert_nat X) A2)) B2)) ((and ((member_nat X) B2)) ((ord_less_eq_set_nat A2) B2)))) of role axiom named fact_276_insert__subset
% 0.86/1.09 A new axiom: (forall (X:nat) (A2:set_nat) (B2:set_nat), (((eq Prop) ((ord_less_eq_set_nat ((insert_nat X) A2)) B2)) ((and ((member_nat X) B2)) ((ord_less_eq_set_nat A2) B2))))
% 0.86/1.09 FOF formula (forall (X:int) (A2:set_int) (B2:set_int), (((eq Prop) ((ord_less_eq_set_int ((insert_int X) A2)) B2)) ((and ((member_int X) B2)) ((ord_less_eq_set_int A2) B2)))) of role axiom named fact_277_insert__subset
% 0.86/1.09 A new axiom: (forall (X:int) (A2:set_int) (B2:set_int), (((eq Prop) ((ord_less_eq_set_int ((insert_int X) A2)) B2)) ((and ((member_int X) B2)) ((ord_less_eq_set_int A2) B2))))
% 0.86/1.09 FOF formula (forall (P:(set_int->Prop)) (X:set_int) (Q:(set_int->Prop)), ((P X)->((forall (Y2:set_int), ((P Y2)->((ord_less_eq_set_int Y2) X)))->((forall (X3:set_int), ((P X3)->((forall (Y3:set_int), ((P Y3)->((ord_less_eq_set_int Y3) X3)))->(Q X3))))->(Q (order_1546957118920008137et_int P)))))) of role axiom named fact_278_GreatestI2__order
% 0.86/1.09 A new axiom: (forall (P:(set_int->Prop)) (X:set_int) (Q:(set_int->Prop)), ((P X)->((forall (Y2:set_int), ((P Y2)->((ord_less_eq_set_int Y2) X)))->((forall (X3:set_int), ((P X3)->((forall (Y3:set_int), ((P Y3)->((ord_less_eq_set_int Y3) X3)))->(Q X3))))->(Q (order_1546957118920008137et_int P))))))
% 0.93/1.10 FOF formula (forall (P:(rat->Prop)) (X:rat) (Q:(rat->Prop)), ((P X)->((forall (Y2:rat), ((P Y2)->((ord_less_eq_rat Y2) X)))->((forall (X3:rat), ((P X3)->((forall (Y3:rat), ((P Y3)->((ord_less_eq_rat Y3) X3)))->(Q X3))))->(Q (order_Greatest_rat P)))))) of role axiom named fact_279_GreatestI2__order
% 0.93/1.10 A new axiom: (forall (P:(rat->Prop)) (X:rat) (Q:(rat->Prop)), ((P X)->((forall (Y2:rat), ((P Y2)->((ord_less_eq_rat Y2) X)))->((forall (X3:rat), ((P X3)->((forall (Y3:rat), ((P Y3)->((ord_less_eq_rat Y3) X3)))->(Q X3))))->(Q (order_Greatest_rat P))))))
% 0.93/1.10 FOF formula (forall (P:(num->Prop)) (X:num) (Q:(num->Prop)), ((P X)->((forall (Y2:num), ((P Y2)->((ord_less_eq_num Y2) X)))->((forall (X3:num), ((P X3)->((forall (Y3:num), ((P Y3)->((ord_less_eq_num Y3) X3)))->(Q X3))))->(Q (order_Greatest_num P)))))) of role axiom named fact_280_GreatestI2__order
% 0.93/1.10 A new axiom: (forall (P:(num->Prop)) (X:num) (Q:(num->Prop)), ((P X)->((forall (Y2:num), ((P Y2)->((ord_less_eq_num Y2) X)))->((forall (X3:num), ((P X3)->((forall (Y3:num), ((P Y3)->((ord_less_eq_num Y3) X3)))->(Q X3))))->(Q (order_Greatest_num P))))))
% 0.93/1.10 FOF formula (forall (P:(int->Prop)) (X:int) (Q:(int->Prop)), ((P X)->((forall (Y2:int), ((P Y2)->((ord_less_eq_int Y2) X)))->((forall (X3:int), ((P X3)->((forall (Y3:int), ((P Y3)->((ord_less_eq_int Y3) X3)))->(Q X3))))->(Q (order_Greatest_int P)))))) of role axiom named fact_281_GreatestI2__order
% 0.93/1.10 A new axiom: (forall (P:(int->Prop)) (X:int) (Q:(int->Prop)), ((P X)->((forall (Y2:int), ((P Y2)->((ord_less_eq_int Y2) X)))->((forall (X3:int), ((P X3)->((forall (Y3:int), ((P Y3)->((ord_less_eq_int Y3) X3)))->(Q X3))))->(Q (order_Greatest_int P))))))
% 0.93/1.10 FOF formula (forall (P:(real->Prop)) (X:real) (Q:(real->Prop)), ((P X)->((forall (Y2:real), ((P Y2)->((ord_less_eq_real Y2) X)))->((forall (X3:real), ((P X3)->((forall (Y3:real), ((P Y3)->((ord_less_eq_real Y3) X3)))->(Q X3))))->(Q (order_Greatest_real P)))))) of role axiom named fact_282_GreatestI2__order
% 0.93/1.10 A new axiom: (forall (P:(real->Prop)) (X:real) (Q:(real->Prop)), ((P X)->((forall (Y2:real), ((P Y2)->((ord_less_eq_real Y2) X)))->((forall (X3:real), ((P X3)->((forall (Y3:real), ((P Y3)->((ord_less_eq_real Y3) X3)))->(Q X3))))->(Q (order_Greatest_real P))))))
% 0.93/1.10 FOF formula (forall (P:(nat->Prop)) (X:nat) (Q:(nat->Prop)), ((P X)->((forall (Y2:nat), ((P Y2)->((ord_less_eq_nat Y2) X)))->((forall (X3:nat), ((P X3)->((forall (Y3:nat), ((P Y3)->((ord_less_eq_nat Y3) X3)))->(Q X3))))->(Q (order_Greatest_nat P)))))) of role axiom named fact_283_GreatestI2__order
% 0.93/1.10 A new axiom: (forall (P:(nat->Prop)) (X:nat) (Q:(nat->Prop)), ((P X)->((forall (Y2:nat), ((P Y2)->((ord_less_eq_nat Y2) X)))->((forall (X3:nat), ((P X3)->((forall (Y3:nat), ((P Y3)->((ord_less_eq_nat Y3) X3)))->(Q X3))))->(Q (order_Greatest_nat P))))))
% 0.93/1.10 FOF formula (forall (P:(set_int->Prop)) (X:set_int), ((P X)->((forall (Y2:set_int), ((P Y2)->((ord_less_eq_set_int Y2) X)))->(((eq set_int) (order_1546957118920008137et_int P)) X)))) of role axiom named fact_284_Greatest__equality
% 0.93/1.10 A new axiom: (forall (P:(set_int->Prop)) (X:set_int), ((P X)->((forall (Y2:set_int), ((P Y2)->((ord_less_eq_set_int Y2) X)))->(((eq set_int) (order_1546957118920008137et_int P)) X))))
% 0.93/1.10 FOF formula (forall (P:(rat->Prop)) (X:rat), ((P X)->((forall (Y2:rat), ((P Y2)->((ord_less_eq_rat Y2) X)))->(((eq rat) (order_Greatest_rat P)) X)))) of role axiom named fact_285_Greatest__equality
% 0.93/1.10 A new axiom: (forall (P:(rat->Prop)) (X:rat), ((P X)->((forall (Y2:rat), ((P Y2)->((ord_less_eq_rat Y2) X)))->(((eq rat) (order_Greatest_rat P)) X))))
% 0.93/1.10 FOF formula (forall (P:(num->Prop)) (X:num), ((P X)->((forall (Y2:num), ((P Y2)->((ord_less_eq_num Y2) X)))->(((eq num) (order_Greatest_num P)) X)))) of role axiom named fact_286_Greatest__equality
% 0.93/1.10 A new axiom: (forall (P:(num->Prop)) (X:num), ((P X)->((forall (Y2:num), ((P Y2)->((ord_less_eq_num Y2) X)))->(((eq num) (order_Greatest_num P)) X))))
% 0.93/1.10 FOF formula (forall (P:(int->Prop)) (X:int), ((P X)->((forall (Y2:int), ((P Y2)->((ord_less_eq_int Y2) X)))->(((eq int) (order_Greatest_int P)) X)))) of role axiom named fact_287_Greatest__equality
% 0.93/1.11 A new axiom: (forall (P:(int->Prop)) (X:int), ((P X)->((forall (Y2:int), ((P Y2)->((ord_less_eq_int Y2) X)))->(((eq int) (order_Greatest_int P)) X))))
% 0.93/1.11 FOF formula (forall (P:(real->Prop)) (X:real), ((P X)->((forall (Y2:real), ((P Y2)->((ord_less_eq_real Y2) X)))->(((eq real) (order_Greatest_real P)) X)))) of role axiom named fact_288_Greatest__equality
% 0.93/1.11 A new axiom: (forall (P:(real->Prop)) (X:real), ((P X)->((forall (Y2:real), ((P Y2)->((ord_less_eq_real Y2) X)))->(((eq real) (order_Greatest_real P)) X))))
% 0.93/1.11 FOF formula (forall (P:(nat->Prop)) (X:nat), ((P X)->((forall (Y2:nat), ((P Y2)->((ord_less_eq_nat Y2) X)))->(((eq nat) (order_Greatest_nat P)) X)))) of role axiom named fact_289_Greatest__equality
% 0.93/1.11 A new axiom: (forall (P:(nat->Prop)) (X:nat), ((P X)->((forall (Y2:nat), ((P Y2)->((ord_less_eq_nat Y2) X)))->(((eq nat) (order_Greatest_nat P)) X))))
% 0.93/1.11 FOF formula (forall (X22:num) (Y22:num), (((eq Prop) (((eq num) (bit0 X22)) (bit0 Y22))) (((eq num) X22) Y22))) of role axiom named fact_290_verit__eq__simplify_I8_J
% 0.93/1.11 A new axiom: (forall (X22:num) (Y22:num), (((eq Prop) (((eq num) (bit0 X22)) (bit0 Y22))) (((eq num) X22) Y22)))
% 0.93/1.11 FOF formula (forall (A:set_int), ((ord_less_eq_set_int A) A)) of role axiom named fact_291_dual__order_Orefl
% 0.93/1.11 A new axiom: (forall (A:set_int), ((ord_less_eq_set_int A) A))
% 0.93/1.11 FOF formula (forall (A:rat), ((ord_less_eq_rat A) A)) of role axiom named fact_292_dual__order_Orefl
% 0.93/1.11 A new axiom: (forall (A:rat), ((ord_less_eq_rat A) A))
% 0.93/1.11 FOF formula (forall (A:num), ((ord_less_eq_num A) A)) of role axiom named fact_293_dual__order_Orefl
% 0.93/1.11 A new axiom: (forall (A:num), ((ord_less_eq_num A) A))
% 0.93/1.11 FOF formula (forall (A:nat), ((ord_less_eq_nat A) A)) of role axiom named fact_294_dual__order_Orefl
% 0.93/1.11 A new axiom: (forall (A:nat), ((ord_less_eq_nat A) A))
% 0.93/1.11 FOF formula (forall (A:int), ((ord_less_eq_int A) A)) of role axiom named fact_295_dual__order_Orefl
% 0.93/1.11 A new axiom: (forall (A:int), ((ord_less_eq_int A) A))
% 0.93/1.11 FOF formula (forall (A:real), ((ord_less_eq_real A) A)) of role axiom named fact_296_dual__order_Orefl
% 0.93/1.11 A new axiom: (forall (A:real), ((ord_less_eq_real A) A))
% 0.93/1.11 FOF formula (forall (X:set_int), ((ord_less_eq_set_int X) X)) of role axiom named fact_297_order__refl
% 0.93/1.11 A new axiom: (forall (X:set_int), ((ord_less_eq_set_int X) X))
% 0.93/1.11 FOF formula (forall (X:rat), ((ord_less_eq_rat X) X)) of role axiom named fact_298_order__refl
% 0.93/1.11 A new axiom: (forall (X:rat), ((ord_less_eq_rat X) X))
% 0.93/1.11 FOF formula (forall (X:num), ((ord_less_eq_num X) X)) of role axiom named fact_299_order__refl
% 0.93/1.11 A new axiom: (forall (X:num), ((ord_less_eq_num X) X))
% 0.93/1.11 FOF formula (forall (X:nat), ((ord_less_eq_nat X) X)) of role axiom named fact_300_order__refl
% 0.93/1.11 A new axiom: (forall (X:nat), ((ord_less_eq_nat X) X))
% 0.93/1.11 FOF formula (forall (X:int), ((ord_less_eq_int X) X)) of role axiom named fact_301_order__refl
% 0.93/1.11 A new axiom: (forall (X:int), ((ord_less_eq_int X) X))
% 0.93/1.11 FOF formula (forall (X:real), ((ord_less_eq_real X) X)) of role axiom named fact_302_order__refl
% 0.93/1.11 A new axiom: (forall (X:real), ((ord_less_eq_real X) X))
% 0.93/1.11 FOF formula (forall (A2:set_complex) (B2:set_complex), ((forall (X3:complex), (((member_complex X3) A2)->((member_complex X3) B2)))->((ord_le211207098394363844omplex A2) B2))) of role axiom named fact_303_subsetI
% 0.93/1.11 A new axiom: (forall (A2:set_complex) (B2:set_complex), ((forall (X3:complex), (((member_complex X3) A2)->((member_complex X3) B2)))->((ord_le211207098394363844omplex A2) B2)))
% 0.93/1.11 FOF formula (forall (A2:set_real) (B2:set_real), ((forall (X3:real), (((member_real X3) A2)->((member_real X3) B2)))->((ord_less_eq_set_real A2) B2))) of role axiom named fact_304_subsetI
% 0.93/1.11 A new axiom: (forall (A2:set_real) (B2:set_real), ((forall (X3:real), (((member_real X3) A2)->((member_real X3) B2)))->((ord_less_eq_set_real A2) B2)))
% 0.93/1.11 FOF formula (forall (A2:set_set_nat) (B2:set_set_nat), ((forall (X3:set_nat), (((member_set_nat X3) A2)->((member_set_nat X3) B2)))->((ord_le6893508408891458716et_nat A2) B2))) of role axiom named fact_305_subsetI
% 0.93/1.11 A new axiom: (forall (A2:set_set_nat) (B2:set_set_nat), ((forall (X3:set_nat), (((member_set_nat X3) A2)->((member_set_nat X3) B2)))->((ord_le6893508408891458716et_nat A2) B2)))
% 0.93/1.12 FOF formula (forall (A2:set_nat) (B2:set_nat), ((forall (X3:nat), (((member_nat X3) A2)->((member_nat X3) B2)))->((ord_less_eq_set_nat A2) B2))) of role axiom named fact_306_subsetI
% 0.93/1.12 A new axiom: (forall (A2:set_nat) (B2:set_nat), ((forall (X3:nat), (((member_nat X3) A2)->((member_nat X3) B2)))->((ord_less_eq_set_nat A2) B2)))
% 0.93/1.12 FOF formula (forall (A2:set_int) (B2:set_int), ((forall (X3:int), (((member_int X3) A2)->((member_int X3) B2)))->((ord_less_eq_set_int A2) B2))) of role axiom named fact_307_subsetI
% 0.93/1.12 A new axiom: (forall (A2:set_int) (B2:set_int), ((forall (X3:int), (((member_int X3) A2)->((member_int X3) B2)))->((ord_less_eq_set_int A2) B2)))
% 0.93/1.12 FOF formula (forall (A2:set_int) (B2:set_int), (((ord_less_eq_set_int A2) B2)->((not (((eq set_int) A2) B2))->((ord_less_set_int A2) B2)))) of role axiom named fact_308_psubsetI
% 0.93/1.12 A new axiom: (forall (A2:set_int) (B2:set_int), (((ord_less_eq_set_int A2) B2)->((not (((eq set_int) A2) B2))->((ord_less_set_int A2) B2))))
% 0.93/1.12 FOF formula (forall (A2:set_int) (B2:set_int), (((ord_less_eq_set_int A2) B2)->(((ord_less_eq_set_int B2) A2)->(((eq set_int) A2) B2)))) of role axiom named fact_309_subset__antisym
% 0.93/1.12 A new axiom: (forall (A2:set_int) (B2:set_int), (((ord_less_eq_set_int A2) B2)->(((ord_less_eq_set_int B2) A2)->(((eq set_int) A2) B2))))
% 0.93/1.12 FOF formula (forall (N:extended_enat), (((eq Prop) ((ord_le72135733267957522d_enat zero_z5237406670263579293d_enat) N)) (not (((eq extended_enat) N) zero_z5237406670263579293d_enat)))) of role axiom named fact_310_i0__less
% 0.93/1.12 A new axiom: (forall (N:extended_enat), (((eq Prop) ((ord_le72135733267957522d_enat zero_z5237406670263579293d_enat) N)) (not (((eq extended_enat) N) zero_z5237406670263579293d_enat))))
% 0.93/1.12 FOF formula (forall (A2:set_complex) (B2:set_complex) (X:complex), (((ord_le211207098394363844omplex A2) B2)->(((member_complex X) A2)->((member_complex X) B2)))) of role axiom named fact_311_in__mono
% 0.93/1.12 A new axiom: (forall (A2:set_complex) (B2:set_complex) (X:complex), (((ord_le211207098394363844omplex A2) B2)->(((member_complex X) A2)->((member_complex X) B2))))
% 0.93/1.12 FOF formula (forall (A2:set_real) (B2:set_real) (X:real), (((ord_less_eq_set_real A2) B2)->(((member_real X) A2)->((member_real X) B2)))) of role axiom named fact_312_in__mono
% 0.93/1.12 A new axiom: (forall (A2:set_real) (B2:set_real) (X:real), (((ord_less_eq_set_real A2) B2)->(((member_real X) A2)->((member_real X) B2))))
% 0.93/1.12 FOF formula (forall (A2:set_set_nat) (B2:set_set_nat) (X:set_nat), (((ord_le6893508408891458716et_nat A2) B2)->(((member_set_nat X) A2)->((member_set_nat X) B2)))) of role axiom named fact_313_in__mono
% 0.93/1.12 A new axiom: (forall (A2:set_set_nat) (B2:set_set_nat) (X:set_nat), (((ord_le6893508408891458716et_nat A2) B2)->(((member_set_nat X) A2)->((member_set_nat X) B2))))
% 0.93/1.12 FOF formula (forall (A2:set_nat) (B2:set_nat) (X:nat), (((ord_less_eq_set_nat A2) B2)->(((member_nat X) A2)->((member_nat X) B2)))) of role axiom named fact_314_in__mono
% 0.93/1.12 A new axiom: (forall (A2:set_nat) (B2:set_nat) (X:nat), (((ord_less_eq_set_nat A2) B2)->(((member_nat X) A2)->((member_nat X) B2))))
% 0.93/1.12 FOF formula (forall (A2:set_int) (B2:set_int) (X:int), (((ord_less_eq_set_int A2) B2)->(((member_int X) A2)->((member_int X) B2)))) of role axiom named fact_315_in__mono
% 0.93/1.12 A new axiom: (forall (A2:set_int) (B2:set_int) (X:int), (((ord_less_eq_set_int A2) B2)->(((member_int X) A2)->((member_int X) B2))))
% 0.93/1.12 FOF formula (forall (A2:set_complex) (B2:set_complex) (C:complex), (((ord_le211207098394363844omplex A2) B2)->(((member_complex C) A2)->((member_complex C) B2)))) of role axiom named fact_316_subsetD
% 0.93/1.12 A new axiom: (forall (A2:set_complex) (B2:set_complex) (C:complex), (((ord_le211207098394363844omplex A2) B2)->(((member_complex C) A2)->((member_complex C) B2))))
% 0.93/1.12 FOF formula (forall (A2:set_real) (B2:set_real) (C:real), (((ord_less_eq_set_real A2) B2)->(((member_real C) A2)->((member_real C) B2)))) of role axiom named fact_317_subsetD
% 0.93/1.12 A new axiom: (forall (A2:set_real) (B2:set_real) (C:real), (((ord_less_eq_set_real A2) B2)->(((member_real C) A2)->((member_real C) B2))))
% 0.93/1.13 FOF formula (forall (A2:set_set_nat) (B2:set_set_nat) (C:set_nat), (((ord_le6893508408891458716et_nat A2) B2)->(((member_set_nat C) A2)->((member_set_nat C) B2)))) of role axiom named fact_318_subsetD
% 0.93/1.13 A new axiom: (forall (A2:set_set_nat) (B2:set_set_nat) (C:set_nat), (((ord_le6893508408891458716et_nat A2) B2)->(((member_set_nat C) A2)->((member_set_nat C) B2))))
% 0.93/1.13 FOF formula (forall (A2:set_nat) (B2:set_nat) (C:nat), (((ord_less_eq_set_nat A2) B2)->(((member_nat C) A2)->((member_nat C) B2)))) of role axiom named fact_319_subsetD
% 0.93/1.13 A new axiom: (forall (A2:set_nat) (B2:set_nat) (C:nat), (((ord_less_eq_set_nat A2) B2)->(((member_nat C) A2)->((member_nat C) B2))))
% 0.93/1.13 FOF formula (forall (A2:set_int) (B2:set_int) (C:int), (((ord_less_eq_set_int A2) B2)->(((member_int C) A2)->((member_int C) B2)))) of role axiom named fact_320_subsetD
% 0.93/1.13 A new axiom: (forall (A2:set_int) (B2:set_int) (C:int), (((ord_less_eq_set_int A2) B2)->(((member_int C) A2)->((member_int C) B2))))
% 0.93/1.13 FOF formula (forall (A2:set_int) (B2:set_int), (((ord_less_set_int A2) B2)->((((ord_less_eq_set_int A2) B2)->((ord_less_eq_set_int B2) A2))->False))) of role axiom named fact_321_psubsetE
% 0.93/1.13 A new axiom: (forall (A2:set_int) (B2:set_int), (((ord_less_set_int A2) B2)->((((ord_less_eq_set_int A2) B2)->((ord_less_eq_set_int B2) A2))->False)))
% 0.93/1.13 FOF formula (forall (A2:set_int) (B2:set_int), ((((eq set_int) A2) B2)->((((ord_less_eq_set_int A2) B2)->(((ord_less_eq_set_int B2) A2)->False))->False))) of role axiom named fact_322_equalityE
% 0.93/1.13 A new axiom: (forall (A2:set_int) (B2:set_int), ((((eq set_int) A2) B2)->((((ord_less_eq_set_int A2) B2)->(((ord_less_eq_set_int B2) A2)->False))->False)))
% 0.93/1.13 FOF formula (((eq (set_complex->(set_complex->Prop))) ord_le211207098394363844omplex) (fun (A3:set_complex) (B3:set_complex)=> (forall (X2:complex), (((member_complex X2) A3)->((member_complex X2) B3))))) of role axiom named fact_323_subset__eq
% 0.93/1.13 A new axiom: (((eq (set_complex->(set_complex->Prop))) ord_le211207098394363844omplex) (fun (A3:set_complex) (B3:set_complex)=> (forall (X2:complex), (((member_complex X2) A3)->((member_complex X2) B3)))))
% 0.93/1.13 FOF formula (((eq (set_real->(set_real->Prop))) ord_less_eq_set_real) (fun (A3:set_real) (B3:set_real)=> (forall (X2:real), (((member_real X2) A3)->((member_real X2) B3))))) of role axiom named fact_324_subset__eq
% 0.93/1.13 A new axiom: (((eq (set_real->(set_real->Prop))) ord_less_eq_set_real) (fun (A3:set_real) (B3:set_real)=> (forall (X2:real), (((member_real X2) A3)->((member_real X2) B3)))))
% 0.93/1.13 FOF formula (((eq (set_set_nat->(set_set_nat->Prop))) ord_le6893508408891458716et_nat) (fun (A3:set_set_nat) (B3:set_set_nat)=> (forall (X2:set_nat), (((member_set_nat X2) A3)->((member_set_nat X2) B3))))) of role axiom named fact_325_subset__eq
% 0.93/1.13 A new axiom: (((eq (set_set_nat->(set_set_nat->Prop))) ord_le6893508408891458716et_nat) (fun (A3:set_set_nat) (B3:set_set_nat)=> (forall (X2:set_nat), (((member_set_nat X2) A3)->((member_set_nat X2) B3)))))
% 0.93/1.13 FOF formula (((eq (set_nat->(set_nat->Prop))) ord_less_eq_set_nat) (fun (A3:set_nat) (B3:set_nat)=> (forall (X2:nat), (((member_nat X2) A3)->((member_nat X2) B3))))) of role axiom named fact_326_subset__eq
% 0.93/1.13 A new axiom: (((eq (set_nat->(set_nat->Prop))) ord_less_eq_set_nat) (fun (A3:set_nat) (B3:set_nat)=> (forall (X2:nat), (((member_nat X2) A3)->((member_nat X2) B3)))))
% 0.93/1.13 FOF formula (((eq (set_int->(set_int->Prop))) ord_less_eq_set_int) (fun (A3:set_int) (B3:set_int)=> (forall (X2:int), (((member_int X2) A3)->((member_int X2) B3))))) of role axiom named fact_327_subset__eq
% 0.93/1.13 A new axiom: (((eq (set_int->(set_int->Prop))) ord_less_eq_set_int) (fun (A3:set_int) (B3:set_int)=> (forall (X2:int), (((member_int X2) A3)->((member_int X2) B3)))))
% 0.93/1.13 FOF formula (forall (A2:set_int) (B2:set_int), ((((eq set_int) A2) B2)->((ord_less_eq_set_int A2) B2))) of role axiom named fact_328_equalityD1
% 0.93/1.13 A new axiom: (forall (A2:set_int) (B2:set_int), ((((eq set_int) A2) B2)->((ord_less_eq_set_int A2) B2)))
% 0.93/1.13 FOF formula (forall (A2:set_int) (B2:set_int), ((((eq set_int) A2) B2)->((ord_less_eq_set_int B2) A2))) of role axiom named fact_329_equalityD2
% 0.93/1.14 A new axiom: (forall (A2:set_int) (B2:set_int), ((((eq set_int) A2) B2)->((ord_less_eq_set_int B2) A2)))
% 0.93/1.14 FOF formula (((eq (set_int->(set_int->Prop))) ord_less_set_int) (fun (A3:set_int) (B3:set_int)=> ((and ((ord_less_eq_set_int A3) B3)) (not (((eq set_int) A3) B3))))) of role axiom named fact_330_psubset__eq
% 0.93/1.14 A new axiom: (((eq (set_int->(set_int->Prop))) ord_less_set_int) (fun (A3:set_int) (B3:set_int)=> ((and ((ord_less_eq_set_int A3) B3)) (not (((eq set_int) A3) B3)))))
% 0.93/1.14 FOF formula (((eq (set_complex->(set_complex->Prop))) ord_le211207098394363844omplex) (fun (A3:set_complex) (B3:set_complex)=> (forall (T2:complex), (((member_complex T2) A3)->((member_complex T2) B3))))) of role axiom named fact_331_subset__iff
% 0.93/1.14 A new axiom: (((eq (set_complex->(set_complex->Prop))) ord_le211207098394363844omplex) (fun (A3:set_complex) (B3:set_complex)=> (forall (T2:complex), (((member_complex T2) A3)->((member_complex T2) B3)))))
% 0.93/1.14 FOF formula (((eq (set_real->(set_real->Prop))) ord_less_eq_set_real) (fun (A3:set_real) (B3:set_real)=> (forall (T2:real), (((member_real T2) A3)->((member_real T2) B3))))) of role axiom named fact_332_subset__iff
% 0.93/1.14 A new axiom: (((eq (set_real->(set_real->Prop))) ord_less_eq_set_real) (fun (A3:set_real) (B3:set_real)=> (forall (T2:real), (((member_real T2) A3)->((member_real T2) B3)))))
% 0.93/1.14 FOF formula (((eq (set_set_nat->(set_set_nat->Prop))) ord_le6893508408891458716et_nat) (fun (A3:set_set_nat) (B3:set_set_nat)=> (forall (T2:set_nat), (((member_set_nat T2) A3)->((member_set_nat T2) B3))))) of role axiom named fact_333_subset__iff
% 0.93/1.14 A new axiom: (((eq (set_set_nat->(set_set_nat->Prop))) ord_le6893508408891458716et_nat) (fun (A3:set_set_nat) (B3:set_set_nat)=> (forall (T2:set_nat), (((member_set_nat T2) A3)->((member_set_nat T2) B3)))))
% 0.93/1.14 FOF formula (((eq (set_nat->(set_nat->Prop))) ord_less_eq_set_nat) (fun (A3:set_nat) (B3:set_nat)=> (forall (T2:nat), (((member_nat T2) A3)->((member_nat T2) B3))))) of role axiom named fact_334_subset__iff
% 0.93/1.14 A new axiom: (((eq (set_nat->(set_nat->Prop))) ord_less_eq_set_nat) (fun (A3:set_nat) (B3:set_nat)=> (forall (T2:nat), (((member_nat T2) A3)->((member_nat T2) B3)))))
% 0.93/1.14 FOF formula (((eq (set_int->(set_int->Prop))) ord_less_eq_set_int) (fun (A3:set_int) (B3:set_int)=> (forall (T2:int), (((member_int T2) A3)->((member_int T2) B3))))) of role axiom named fact_335_subset__iff
% 0.93/1.14 A new axiom: (((eq (set_int->(set_int->Prop))) ord_less_eq_set_int) (fun (A3:set_int) (B3:set_int)=> (forall (T2:int), (((member_int T2) A3)->((member_int T2) B3)))))
% 0.93/1.14 FOF formula (forall (A2:set_int), ((ord_less_eq_set_int A2) A2)) of role axiom named fact_336_subset__refl
% 0.93/1.14 A new axiom: (forall (A2:set_int), ((ord_less_eq_set_int A2) A2))
% 0.93/1.14 FOF formula (forall (P:(complex->Prop)) (Q:(complex->Prop)), ((forall (X3:complex), ((P X3)->(Q X3)))->((ord_le211207098394363844omplex (collect_complex P)) (collect_complex Q)))) of role axiom named fact_337_Collect__mono
% 0.93/1.14 A new axiom: (forall (P:(complex->Prop)) (Q:(complex->Prop)), ((forall (X3:complex), ((P X3)->(Q X3)))->((ord_le211207098394363844omplex (collect_complex P)) (collect_complex Q))))
% 0.93/1.14 FOF formula (forall (P:(list_nat->Prop)) (Q:(list_nat->Prop)), ((forall (X3:list_nat), ((P X3)->(Q X3)))->((ord_le6045566169113846134st_nat (collect_list_nat P)) (collect_list_nat Q)))) of role axiom named fact_338_Collect__mono
% 0.93/1.14 A new axiom: (forall (P:(list_nat->Prop)) (Q:(list_nat->Prop)), ((forall (X3:list_nat), ((P X3)->(Q X3)))->((ord_le6045566169113846134st_nat (collect_list_nat P)) (collect_list_nat Q))))
% 0.93/1.14 FOF formula (forall (P:(set_nat->Prop)) (Q:(set_nat->Prop)), ((forall (X3:set_nat), ((P X3)->(Q X3)))->((ord_le6893508408891458716et_nat (collect_set_nat P)) (collect_set_nat Q)))) of role axiom named fact_339_Collect__mono
% 0.93/1.14 A new axiom: (forall (P:(set_nat->Prop)) (Q:(set_nat->Prop)), ((forall (X3:set_nat), ((P X3)->(Q X3)))->((ord_le6893508408891458716et_nat (collect_set_nat P)) (collect_set_nat Q))))
% 0.93/1.14 FOF formula (forall (P:(nat->Prop)) (Q:(nat->Prop)), ((forall (X3:nat), ((P X3)->(Q X3)))->((ord_less_eq_set_nat (collect_nat P)) (collect_nat Q)))) of role axiom named fact_340_Collect__mono
% 0.93/1.15 A new axiom: (forall (P:(nat->Prop)) (Q:(nat->Prop)), ((forall (X3:nat), ((P X3)->(Q X3)))->((ord_less_eq_set_nat (collect_nat P)) (collect_nat Q))))
% 0.93/1.15 FOF formula (forall (P:(int->Prop)) (Q:(int->Prop)), ((forall (X3:int), ((P X3)->(Q X3)))->((ord_less_eq_set_int (collect_int P)) (collect_int Q)))) of role axiom named fact_341_Collect__mono
% 0.93/1.15 A new axiom: (forall (P:(int->Prop)) (Q:(int->Prop)), ((forall (X3:int), ((P X3)->(Q X3)))->((ord_less_eq_set_int (collect_int P)) (collect_int Q))))
% 0.93/1.15 FOF formula (forall (A2:set_int) (B2:set_int) (C2:set_int), (((ord_less_eq_set_int A2) B2)->(((ord_less_eq_set_int B2) C2)->((ord_less_eq_set_int A2) C2)))) of role axiom named fact_342_subset__trans
% 0.93/1.15 A new axiom: (forall (A2:set_int) (B2:set_int) (C2:set_int), (((ord_less_eq_set_int A2) B2)->(((ord_less_eq_set_int B2) C2)->((ord_less_eq_set_int A2) C2))))
% 0.93/1.15 FOF formula (((eq (set_int->(set_int->Prop))) (fun (Y5:set_int) (Z2:set_int)=> (((eq set_int) Y5) Z2))) (fun (A3:set_int) (B3:set_int)=> ((and ((ord_less_eq_set_int A3) B3)) ((ord_less_eq_set_int B3) A3)))) of role axiom named fact_343_set__eq__subset
% 0.93/1.15 A new axiom: (((eq (set_int->(set_int->Prop))) (fun (Y5:set_int) (Z2:set_int)=> (((eq set_int) Y5) Z2))) (fun (A3:set_int) (B3:set_int)=> ((and ((ord_less_eq_set_int A3) B3)) ((ord_less_eq_set_int B3) A3))))
% 0.93/1.15 FOF formula (forall (N:extended_enat), ((ord_le2932123472753598470d_enat zero_z5237406670263579293d_enat) N)) of role axiom named fact_344_i0__lb
% 0.93/1.15 A new axiom: (forall (N:extended_enat), ((ord_le2932123472753598470d_enat zero_z5237406670263579293d_enat) N))
% 0.93/1.15 FOF formula (forall (A2:set_real) (P:(real->Prop)), ((ord_less_eq_set_real (collect_real (fun (X2:real)=> ((and ((member_real X2) A2)) (P X2))))) A2)) of role axiom named fact_345_Collect__subset
% 0.93/1.15 A new axiom: (forall (A2:set_real) (P:(real->Prop)), ((ord_less_eq_set_real (collect_real (fun (X2:real)=> ((and ((member_real X2) A2)) (P X2))))) A2))
% 0.93/1.15 FOF formula (forall (A2:set_complex) (P:(complex->Prop)), ((ord_le211207098394363844omplex (collect_complex (fun (X2:complex)=> ((and ((member_complex X2) A2)) (P X2))))) A2)) of role axiom named fact_346_Collect__subset
% 0.93/1.15 A new axiom: (forall (A2:set_complex) (P:(complex->Prop)), ((ord_le211207098394363844omplex (collect_complex (fun (X2:complex)=> ((and ((member_complex X2) A2)) (P X2))))) A2))
% 0.93/1.15 FOF formula (forall (A2:set_list_nat) (P:(list_nat->Prop)), ((ord_le6045566169113846134st_nat (collect_list_nat (fun (X2:list_nat)=> ((and ((member_list_nat X2) A2)) (P X2))))) A2)) of role axiom named fact_347_Collect__subset
% 0.93/1.15 A new axiom: (forall (A2:set_list_nat) (P:(list_nat->Prop)), ((ord_le6045566169113846134st_nat (collect_list_nat (fun (X2:list_nat)=> ((and ((member_list_nat X2) A2)) (P X2))))) A2))
% 0.93/1.15 FOF formula (forall (A2:set_set_nat) (P:(set_nat->Prop)), ((ord_le6893508408891458716et_nat (collect_set_nat (fun (X2:set_nat)=> ((and ((member_set_nat X2) A2)) (P X2))))) A2)) of role axiom named fact_348_Collect__subset
% 0.93/1.15 A new axiom: (forall (A2:set_set_nat) (P:(set_nat->Prop)), ((ord_le6893508408891458716et_nat (collect_set_nat (fun (X2:set_nat)=> ((and ((member_set_nat X2) A2)) (P X2))))) A2))
% 0.93/1.15 FOF formula (forall (A2:set_nat) (P:(nat->Prop)), ((ord_less_eq_set_nat (collect_nat (fun (X2:nat)=> ((and ((member_nat X2) A2)) (P X2))))) A2)) of role axiom named fact_349_Collect__subset
% 0.93/1.15 A new axiom: (forall (A2:set_nat) (P:(nat->Prop)), ((ord_less_eq_set_nat (collect_nat (fun (X2:nat)=> ((and ((member_nat X2) A2)) (P X2))))) A2))
% 0.93/1.15 FOF formula (forall (A2:set_int) (P:(int->Prop)), ((ord_less_eq_set_int (collect_int (fun (X2:int)=> ((and ((member_int X2) A2)) (P X2))))) A2)) of role axiom named fact_350_Collect__subset
% 0.93/1.15 A new axiom: (forall (A2:set_int) (P:(int->Prop)), ((ord_less_eq_set_int (collect_int (fun (X2:int)=> ((and ((member_int X2) A2)) (P X2))))) A2))
% 0.93/1.15 FOF formula (((eq (set_complex->(set_complex->Prop))) ord_le211207098394363844omplex) (fun (A3:set_complex) (B3:set_complex)=> ((ord_le4573692005234683329plex_o (fun (X2:complex)=> ((member_complex X2) A3))) (fun (X2:complex)=> ((member_complex X2) B3))))) of role axiom named fact_351_less__eq__set__def
% 0.93/1.16 A new axiom: (((eq (set_complex->(set_complex->Prop))) ord_le211207098394363844omplex) (fun (A3:set_complex) (B3:set_complex)=> ((ord_le4573692005234683329plex_o (fun (X2:complex)=> ((member_complex X2) A3))) (fun (X2:complex)=> ((member_complex X2) B3)))))
% 0.93/1.16 FOF formula (((eq (set_real->(set_real->Prop))) ord_less_eq_set_real) (fun (A3:set_real) (B3:set_real)=> ((ord_less_eq_real_o (fun (X2:real)=> ((member_real X2) A3))) (fun (X2:real)=> ((member_real X2) B3))))) of role axiom named fact_352_less__eq__set__def
% 0.93/1.16 A new axiom: (((eq (set_real->(set_real->Prop))) ord_less_eq_set_real) (fun (A3:set_real) (B3:set_real)=> ((ord_less_eq_real_o (fun (X2:real)=> ((member_real X2) A3))) (fun (X2:real)=> ((member_real X2) B3)))))
% 0.93/1.16 FOF formula (((eq (set_set_nat->(set_set_nat->Prop))) ord_le6893508408891458716et_nat) (fun (A3:set_set_nat) (B3:set_set_nat)=> ((ord_le3964352015994296041_nat_o (fun (X2:set_nat)=> ((member_set_nat X2) A3))) (fun (X2:set_nat)=> ((member_set_nat X2) B3))))) of role axiom named fact_353_less__eq__set__def
% 0.93/1.16 A new axiom: (((eq (set_set_nat->(set_set_nat->Prop))) ord_le6893508408891458716et_nat) (fun (A3:set_set_nat) (B3:set_set_nat)=> ((ord_le3964352015994296041_nat_o (fun (X2:set_nat)=> ((member_set_nat X2) A3))) (fun (X2:set_nat)=> ((member_set_nat X2) B3)))))
% 0.93/1.16 FOF formula (((eq (set_nat->(set_nat->Prop))) ord_less_eq_set_nat) (fun (A3:set_nat) (B3:set_nat)=> ((ord_less_eq_nat_o (fun (X2:nat)=> ((member_nat X2) A3))) (fun (X2:nat)=> ((member_nat X2) B3))))) of role axiom named fact_354_less__eq__set__def
% 0.93/1.16 A new axiom: (((eq (set_nat->(set_nat->Prop))) ord_less_eq_set_nat) (fun (A3:set_nat) (B3:set_nat)=> ((ord_less_eq_nat_o (fun (X2:nat)=> ((member_nat X2) A3))) (fun (X2:nat)=> ((member_nat X2) B3)))))
% 0.93/1.16 FOF formula (((eq (set_int->(set_int->Prop))) ord_less_eq_set_int) (fun (A3:set_int) (B3:set_int)=> ((ord_less_eq_int_o (fun (X2:int)=> ((member_int X2) A3))) (fun (X2:int)=> ((member_int X2) B3))))) of role axiom named fact_355_less__eq__set__def
% 0.93/1.16 A new axiom: (((eq (set_int->(set_int->Prop))) ord_less_eq_set_int) (fun (A3:set_int) (B3:set_int)=> ((ord_less_eq_int_o (fun (X2:int)=> ((member_int X2) A3))) (fun (X2:int)=> ((member_int X2) B3)))))
% 0.93/1.16 FOF formula (forall (N:extended_enat), (((eq Prop) ((ord_le2932123472753598470d_enat N) zero_z5237406670263579293d_enat)) (((eq extended_enat) N) zero_z5237406670263579293d_enat))) of role axiom named fact_356_ile0__eq
% 0.93/1.16 A new axiom: (forall (N:extended_enat), (((eq Prop) ((ord_le2932123472753598470d_enat N) zero_z5237406670263579293d_enat)) (((eq extended_enat) N) zero_z5237406670263579293d_enat)))
% 0.93/1.16 FOF formula (forall (P:(complex->Prop)) (Q:(complex->Prop)), (((eq Prop) ((ord_le211207098394363844omplex (collect_complex P)) (collect_complex Q))) (forall (X2:complex), ((P X2)->(Q X2))))) of role axiom named fact_357_Collect__mono__iff
% 0.93/1.16 A new axiom: (forall (P:(complex->Prop)) (Q:(complex->Prop)), (((eq Prop) ((ord_le211207098394363844omplex (collect_complex P)) (collect_complex Q))) (forall (X2:complex), ((P X2)->(Q X2)))))
% 0.93/1.16 FOF formula (forall (P:(list_nat->Prop)) (Q:(list_nat->Prop)), (((eq Prop) ((ord_le6045566169113846134st_nat (collect_list_nat P)) (collect_list_nat Q))) (forall (X2:list_nat), ((P X2)->(Q X2))))) of role axiom named fact_358_Collect__mono__iff
% 0.93/1.16 A new axiom: (forall (P:(list_nat->Prop)) (Q:(list_nat->Prop)), (((eq Prop) ((ord_le6045566169113846134st_nat (collect_list_nat P)) (collect_list_nat Q))) (forall (X2:list_nat), ((P X2)->(Q X2)))))
% 0.93/1.16 FOF formula (forall (P:(set_nat->Prop)) (Q:(set_nat->Prop)), (((eq Prop) ((ord_le6893508408891458716et_nat (collect_set_nat P)) (collect_set_nat Q))) (forall (X2:set_nat), ((P X2)->(Q X2))))) of role axiom named fact_359_Collect__mono__iff
% 0.93/1.16 A new axiom: (forall (P:(set_nat->Prop)) (Q:(set_nat->Prop)), (((eq Prop) ((ord_le6893508408891458716et_nat (collect_set_nat P)) (collect_set_nat Q))) (forall (X2:set_nat), ((P X2)->(Q X2)))))
% 0.93/1.16 FOF formula (forall (P:(nat->Prop)) (Q:(nat->Prop)), (((eq Prop) ((ord_less_eq_set_nat (collect_nat P)) (collect_nat Q))) (forall (X2:nat), ((P X2)->(Q X2))))) of role axiom named fact_360_Collect__mono__iff
% 0.93/1.16 A new axiom: (forall (P:(nat->Prop)) (Q:(nat->Prop)), (((eq Prop) ((ord_less_eq_set_nat (collect_nat P)) (collect_nat Q))) (forall (X2:nat), ((P X2)->(Q X2)))))
% 0.93/1.16 FOF formula (forall (P:(int->Prop)) (Q:(int->Prop)), (((eq Prop) ((ord_less_eq_set_int (collect_int P)) (collect_int Q))) (forall (X2:int), ((P X2)->(Q X2))))) of role axiom named fact_361_Collect__mono__iff
% 0.93/1.16 A new axiom: (forall (P:(int->Prop)) (Q:(int->Prop)), (((eq Prop) ((ord_less_eq_set_int (collect_int P)) (collect_int Q))) (forall (X2:int), ((P X2)->(Q X2)))))
% 0.93/1.16 FOF formula (forall (A2:set_int) (B2:set_int), (((ord_less_set_int A2) B2)->((ord_less_eq_set_int A2) B2))) of role axiom named fact_362_psubset__imp__subset
% 0.93/1.16 A new axiom: (forall (A2:set_int) (B2:set_int), (((ord_less_set_int A2) B2)->((ord_less_eq_set_int A2) B2)))
% 0.93/1.16 FOF formula (forall (N:extended_enat), (((ord_le72135733267957522d_enat N) zero_z5237406670263579293d_enat)->False)) of role axiom named fact_363_not__iless0
% 0.93/1.16 A new axiom: (forall (N:extended_enat), (((ord_le72135733267957522d_enat N) zero_z5237406670263579293d_enat)->False))
% 0.93/1.16 FOF formula (forall (A2:set_int) (B2:set_int) (C2:set_int), (((ord_less_set_int A2) B2)->(((ord_less_eq_set_int B2) C2)->((ord_less_set_int A2) C2)))) of role axiom named fact_364_psubset__subset__trans
% 0.93/1.16 A new axiom: (forall (A2:set_int) (B2:set_int) (C2:set_int), (((ord_less_set_int A2) B2)->(((ord_less_eq_set_int B2) C2)->((ord_less_set_int A2) C2))))
% 0.93/1.16 FOF formula (((eq (set_int->(set_int->Prop))) ord_less_set_int) (fun (A3:set_int) (B3:set_int)=> ((and ((ord_less_eq_set_int A3) B3)) (((ord_less_eq_set_int B3) A3)->False)))) of role axiom named fact_365_subset__not__subset__eq
% 0.93/1.16 A new axiom: (((eq (set_int->(set_int->Prop))) ord_less_set_int) (fun (A3:set_int) (B3:set_int)=> ((and ((ord_less_eq_set_int A3) B3)) (((ord_less_eq_set_int B3) A3)->False))))
% 0.93/1.16 FOF formula (forall (A2:set_int) (B2:set_int) (C2:set_int), (((ord_less_eq_set_int A2) B2)->(((ord_less_set_int B2) C2)->((ord_less_set_int A2) C2)))) of role axiom named fact_366_subset__psubset__trans
% 0.93/1.16 A new axiom: (forall (A2:set_int) (B2:set_int) (C2:set_int), (((ord_less_eq_set_int A2) B2)->(((ord_less_set_int B2) C2)->((ord_less_set_int A2) C2))))
% 0.93/1.16 FOF formula (((eq (set_int->(set_int->Prop))) ord_less_eq_set_int) (fun (A3:set_int) (B3:set_int)=> ((or ((ord_less_set_int A3) B3)) (((eq set_int) A3) B3)))) of role axiom named fact_367_subset__iff__psubset__eq
% 0.93/1.16 A new axiom: (((eq (set_int->(set_int->Prop))) ord_less_eq_set_int) (fun (A3:set_int) (B3:set_int)=> ((or ((ord_less_set_int A3) B3)) (((eq set_int) A3) B3))))
% 0.93/1.16 FOF formula (forall (P:(extended_enat->Prop)) (N:extended_enat), ((forall (N2:extended_enat), ((forall (M2:extended_enat), (((ord_le72135733267957522d_enat M2) N2)->(P M2)))->(P N2)))->(P N))) of role axiom named fact_368_enat__less__induct
% 0.93/1.16 A new axiom: (forall (P:(extended_enat->Prop)) (N:extended_enat), ((forall (N2:extended_enat), ((forall (M2:extended_enat), (((ord_le72135733267957522d_enat M2) N2)->(P M2)))->(P N2)))->(P N)))
% 0.93/1.16 FOF formula (forall (X:num), (((eq num) ((pow X) one)) X)) of role axiom named fact_369_pow_Osimps_I1_J
% 0.93/1.16 A new axiom: (forall (X:num), (((eq num) ((pow X) one)) X))
% 0.93/1.16 FOF formula (forall (X:complex), (((eq Prop) (((eq complex) zero_zero_complex) X)) (((eq complex) X) zero_zero_complex))) of role axiom named fact_370_zero__reorient
% 0.93/1.16 A new axiom: (forall (X:complex), (((eq Prop) (((eq complex) zero_zero_complex) X)) (((eq complex) X) zero_zero_complex)))
% 0.93/1.16 FOF formula (forall (X:real), (((eq Prop) (((eq real) zero_zero_real) X)) (((eq real) X) zero_zero_real))) of role axiom named fact_371_zero__reorient
% 0.93/1.16 A new axiom: (forall (X:real), (((eq Prop) (((eq real) zero_zero_real) X)) (((eq real) X) zero_zero_real)))
% 0.93/1.16 FOF formula (forall (X:rat), (((eq Prop) (((eq rat) zero_zero_rat) X)) (((eq rat) X) zero_zero_rat))) of role axiom named fact_372_zero__reorient
% 0.93/1.16 A new axiom: (forall (X:rat), (((eq Prop) (((eq rat) zero_zero_rat) X)) (((eq rat) X) zero_zero_rat)))
% 0.93/1.16 FOF formula (forall (X:nat), (((eq Prop) (((eq nat) zero_zero_nat) X)) (((eq nat) X) zero_zero_nat))) of role axiom named fact_373_zero__reorient
% 0.93/1.18 A new axiom: (forall (X:nat), (((eq Prop) (((eq nat) zero_zero_nat) X)) (((eq nat) X) zero_zero_nat)))
% 0.93/1.18 FOF formula (forall (X:int), (((eq Prop) (((eq int) zero_zero_int) X)) (((eq int) X) zero_zero_int))) of role axiom named fact_374_zero__reorient
% 0.93/1.18 A new axiom: (forall (X:int), (((eq Prop) (((eq int) zero_zero_int) X)) (((eq int) X) zero_zero_int)))
% 0.93/1.18 FOF formula (forall (Y:set_int) (X:set_int), (((ord_less_eq_set_int Y) X)->(((eq Prop) ((ord_less_eq_set_int X) Y)) (((eq set_int) X) Y)))) of role axiom named fact_375_order__antisym__conv
% 0.93/1.18 A new axiom: (forall (Y:set_int) (X:set_int), (((ord_less_eq_set_int Y) X)->(((eq Prop) ((ord_less_eq_set_int X) Y)) (((eq set_int) X) Y))))
% 0.93/1.18 FOF formula (forall (Y:rat) (X:rat), (((ord_less_eq_rat Y) X)->(((eq Prop) ((ord_less_eq_rat X) Y)) (((eq rat) X) Y)))) of role axiom named fact_376_order__antisym__conv
% 0.93/1.18 A new axiom: (forall (Y:rat) (X:rat), (((ord_less_eq_rat Y) X)->(((eq Prop) ((ord_less_eq_rat X) Y)) (((eq rat) X) Y))))
% 0.93/1.18 FOF formula (forall (Y:num) (X:num), (((ord_less_eq_num Y) X)->(((eq Prop) ((ord_less_eq_num X) Y)) (((eq num) X) Y)))) of role axiom named fact_377_order__antisym__conv
% 0.93/1.18 A new axiom: (forall (Y:num) (X:num), (((ord_less_eq_num Y) X)->(((eq Prop) ((ord_less_eq_num X) Y)) (((eq num) X) Y))))
% 0.93/1.18 FOF formula (forall (Y:nat) (X:nat), (((ord_less_eq_nat Y) X)->(((eq Prop) ((ord_less_eq_nat X) Y)) (((eq nat) X) Y)))) of role axiom named fact_378_order__antisym__conv
% 0.93/1.18 A new axiom: (forall (Y:nat) (X:nat), (((ord_less_eq_nat Y) X)->(((eq Prop) ((ord_less_eq_nat X) Y)) (((eq nat) X) Y))))
% 0.93/1.18 FOF formula (forall (Y:int) (X:int), (((ord_less_eq_int Y) X)->(((eq Prop) ((ord_less_eq_int X) Y)) (((eq int) X) Y)))) of role axiom named fact_379_order__antisym__conv
% 0.93/1.18 A new axiom: (forall (Y:int) (X:int), (((ord_less_eq_int Y) X)->(((eq Prop) ((ord_less_eq_int X) Y)) (((eq int) X) Y))))
% 0.93/1.18 FOF formula (forall (Y:real) (X:real), (((ord_less_eq_real Y) X)->(((eq Prop) ((ord_less_eq_real X) Y)) (((eq real) X) Y)))) of role axiom named fact_380_order__antisym__conv
% 0.93/1.18 A new axiom: (forall (Y:real) (X:real), (((ord_less_eq_real Y) X)->(((eq Prop) ((ord_less_eq_real X) Y)) (((eq real) X) Y))))
% 0.93/1.18 FOF formula (forall (X:rat) (Y:rat), ((((ord_less_eq_rat X) Y)->False)->((ord_less_eq_rat Y) X))) of role axiom named fact_381_linorder__le__cases
% 0.93/1.18 A new axiom: (forall (X:rat) (Y:rat), ((((ord_less_eq_rat X) Y)->False)->((ord_less_eq_rat Y) X)))
% 0.93/1.18 FOF formula (forall (X:num) (Y:num), ((((ord_less_eq_num X) Y)->False)->((ord_less_eq_num Y) X))) of role axiom named fact_382_linorder__le__cases
% 0.93/1.18 A new axiom: (forall (X:num) (Y:num), ((((ord_less_eq_num X) Y)->False)->((ord_less_eq_num Y) X)))
% 0.93/1.18 FOF formula (forall (X:nat) (Y:nat), ((((ord_less_eq_nat X) Y)->False)->((ord_less_eq_nat Y) X))) of role axiom named fact_383_linorder__le__cases
% 0.93/1.18 A new axiom: (forall (X:nat) (Y:nat), ((((ord_less_eq_nat X) Y)->False)->((ord_less_eq_nat Y) X)))
% 0.93/1.18 FOF formula (forall (X:int) (Y:int), ((((ord_less_eq_int X) Y)->False)->((ord_less_eq_int Y) X))) of role axiom named fact_384_linorder__le__cases
% 0.93/1.18 A new axiom: (forall (X:int) (Y:int), ((((ord_less_eq_int X) Y)->False)->((ord_less_eq_int Y) X)))
% 0.93/1.18 FOF formula (forall (X:real) (Y:real), ((((ord_less_eq_real X) Y)->False)->((ord_less_eq_real Y) X))) of role axiom named fact_385_linorder__le__cases
% 0.93/1.18 A new axiom: (forall (X:real) (Y:real), ((((ord_less_eq_real X) Y)->False)->((ord_less_eq_real Y) X)))
% 0.93/1.18 FOF formula (forall (A:rat) (B:rat) (F:(rat->rat)) (C:rat), (((ord_less_eq_rat A) B)->((((eq rat) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat (F A)) C))))) of role axiom named fact_386_ord__le__eq__subst
% 0.93/1.18 A new axiom: (forall (A:rat) (B:rat) (F:(rat->rat)) (C:rat), (((ord_less_eq_rat A) B)->((((eq rat) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat (F A)) C)))))
% 0.93/1.18 FOF formula (forall (A:rat) (B:rat) (F:(rat->num)) (C:num), (((ord_less_eq_rat A) B)->((((eq num) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num (F A)) C))))) of role axiom named fact_387_ord__le__eq__subst
% 1.02/1.19 A new axiom: (forall (A:rat) (B:rat) (F:(rat->num)) (C:num), (((ord_less_eq_rat A) B)->((((eq num) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num (F A)) C)))))
% 1.02/1.19 FOF formula (forall (A:rat) (B:rat) (F:(rat->nat)) (C:nat), (((ord_less_eq_rat A) B)->((((eq nat) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_nat (F X3)) (F Y2))))->((ord_less_eq_nat (F A)) C))))) of role axiom named fact_388_ord__le__eq__subst
% 1.02/1.19 A new axiom: (forall (A:rat) (B:rat) (F:(rat->nat)) (C:nat), (((ord_less_eq_rat A) B)->((((eq nat) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_nat (F X3)) (F Y2))))->((ord_less_eq_nat (F A)) C)))))
% 1.02/1.19 FOF formula (forall (A:rat) (B:rat) (F:(rat->int)) (C:int), (((ord_less_eq_rat A) B)->((((eq int) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_int (F X3)) (F Y2))))->((ord_less_eq_int (F A)) C))))) of role axiom named fact_389_ord__le__eq__subst
% 1.02/1.19 A new axiom: (forall (A:rat) (B:rat) (F:(rat->int)) (C:int), (((ord_less_eq_rat A) B)->((((eq int) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_int (F X3)) (F Y2))))->((ord_less_eq_int (F A)) C)))))
% 1.02/1.19 FOF formula (forall (A:rat) (B:rat) (F:(rat->real)) (C:real), (((ord_less_eq_rat A) B)->((((eq real) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_real (F X3)) (F Y2))))->((ord_less_eq_real (F A)) C))))) of role axiom named fact_390_ord__le__eq__subst
% 1.02/1.19 A new axiom: (forall (A:rat) (B:rat) (F:(rat->real)) (C:real), (((ord_less_eq_rat A) B)->((((eq real) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_real (F X3)) (F Y2))))->((ord_less_eq_real (F A)) C)))))
% 1.02/1.19 FOF formula (forall (A:num) (B:num) (F:(num->rat)) (C:rat), (((ord_less_eq_num A) B)->((((eq rat) (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat (F A)) C))))) of role axiom named fact_391_ord__le__eq__subst
% 1.02/1.19 A new axiom: (forall (A:num) (B:num) (F:(num->rat)) (C:rat), (((ord_less_eq_num A) B)->((((eq rat) (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat (F A)) C)))))
% 1.02/1.19 FOF formula (forall (A:num) (B:num) (F:(num->num)) (C:num), (((ord_less_eq_num A) B)->((((eq num) (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num (F A)) C))))) of role axiom named fact_392_ord__le__eq__subst
% 1.02/1.19 A new axiom: (forall (A:num) (B:num) (F:(num->num)) (C:num), (((ord_less_eq_num A) B)->((((eq num) (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num (F A)) C)))))
% 1.02/1.19 FOF formula (forall (A:num) (B:num) (F:(num->nat)) (C:nat), (((ord_less_eq_num A) B)->((((eq nat) (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_nat (F X3)) (F Y2))))->((ord_less_eq_nat (F A)) C))))) of role axiom named fact_393_ord__le__eq__subst
% 1.02/1.19 A new axiom: (forall (A:num) (B:num) (F:(num->nat)) (C:nat), (((ord_less_eq_num A) B)->((((eq nat) (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_nat (F X3)) (F Y2))))->((ord_less_eq_nat (F A)) C)))))
% 1.02/1.19 FOF formula (forall (A:num) (B:num) (F:(num->int)) (C:int), (((ord_less_eq_num A) B)->((((eq int) (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_int (F X3)) (F Y2))))->((ord_less_eq_int (F A)) C))))) of role axiom named fact_394_ord__le__eq__subst
% 1.02/1.19 A new axiom: (forall (A:num) (B:num) (F:(num->int)) (C:int), (((ord_less_eq_num A) B)->((((eq int) (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_int (F X3)) (F Y2))))->((ord_less_eq_int (F A)) C)))))
% 1.02/1.19 FOF formula (forall (A:num) (B:num) (F:(num->real)) (C:real), (((ord_less_eq_num A) B)->((((eq real) (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_real (F X3)) (F Y2))))->((ord_less_eq_real (F A)) C))))) of role axiom named fact_395_ord__le__eq__subst
% 1.02/1.20 A new axiom: (forall (A:num) (B:num) (F:(num->real)) (C:real), (((ord_less_eq_num A) B)->((((eq real) (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_real (F X3)) (F Y2))))->((ord_less_eq_real (F A)) C)))))
% 1.02/1.20 FOF formula (forall (A:rat) (F:(rat->rat)) (B:rat) (C:rat), ((((eq rat) A) (F B))->(((ord_less_eq_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat A) (F C)))))) of role axiom named fact_396_ord__eq__le__subst
% 1.02/1.20 A new axiom: (forall (A:rat) (F:(rat->rat)) (B:rat) (C:rat), ((((eq rat) A) (F B))->(((ord_less_eq_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat A) (F C))))))
% 1.02/1.20 FOF formula (forall (A:num) (F:(rat->num)) (B:rat) (C:rat), ((((eq num) A) (F B))->(((ord_less_eq_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num A) (F C)))))) of role axiom named fact_397_ord__eq__le__subst
% 1.02/1.20 A new axiom: (forall (A:num) (F:(rat->num)) (B:rat) (C:rat), ((((eq num) A) (F B))->(((ord_less_eq_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num A) (F C))))))
% 1.02/1.20 FOF formula (forall (A:nat) (F:(rat->nat)) (B:rat) (C:rat), ((((eq nat) A) (F B))->(((ord_less_eq_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_nat (F X3)) (F Y2))))->((ord_less_eq_nat A) (F C)))))) of role axiom named fact_398_ord__eq__le__subst
% 1.02/1.20 A new axiom: (forall (A:nat) (F:(rat->nat)) (B:rat) (C:rat), ((((eq nat) A) (F B))->(((ord_less_eq_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_nat (F X3)) (F Y2))))->((ord_less_eq_nat A) (F C))))))
% 1.02/1.20 FOF formula (forall (A:int) (F:(rat->int)) (B:rat) (C:rat), ((((eq int) A) (F B))->(((ord_less_eq_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_int (F X3)) (F Y2))))->((ord_less_eq_int A) (F C)))))) of role axiom named fact_399_ord__eq__le__subst
% 1.02/1.20 A new axiom: (forall (A:int) (F:(rat->int)) (B:rat) (C:rat), ((((eq int) A) (F B))->(((ord_less_eq_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_int (F X3)) (F Y2))))->((ord_less_eq_int A) (F C))))))
% 1.02/1.20 FOF formula (forall (A:real) (F:(rat->real)) (B:rat) (C:rat), ((((eq real) A) (F B))->(((ord_less_eq_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_real (F X3)) (F Y2))))->((ord_less_eq_real A) (F C)))))) of role axiom named fact_400_ord__eq__le__subst
% 1.02/1.20 A new axiom: (forall (A:real) (F:(rat->real)) (B:rat) (C:rat), ((((eq real) A) (F B))->(((ord_less_eq_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_real (F X3)) (F Y2))))->((ord_less_eq_real A) (F C))))))
% 1.02/1.20 FOF formula (forall (A:rat) (F:(num->rat)) (B:num) (C:num), ((((eq rat) A) (F B))->(((ord_less_eq_num B) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat A) (F C)))))) of role axiom named fact_401_ord__eq__le__subst
% 1.02/1.20 A new axiom: (forall (A:rat) (F:(num->rat)) (B:num) (C:num), ((((eq rat) A) (F B))->(((ord_less_eq_num B) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat A) (F C))))))
% 1.02/1.20 FOF formula (forall (A:num) (F:(num->num)) (B:num) (C:num), ((((eq num) A) (F B))->(((ord_less_eq_num B) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num A) (F C)))))) of role axiom named fact_402_ord__eq__le__subst
% 1.02/1.20 A new axiom: (forall (A:num) (F:(num->num)) (B:num) (C:num), ((((eq num) A) (F B))->(((ord_less_eq_num B) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num A) (F C))))))
% 1.05/1.22 FOF formula (forall (A:nat) (F:(num->nat)) (B:num) (C:num), ((((eq nat) A) (F B))->(((ord_less_eq_num B) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_nat (F X3)) (F Y2))))->((ord_less_eq_nat A) (F C)))))) of role axiom named fact_403_ord__eq__le__subst
% 1.05/1.22 A new axiom: (forall (A:nat) (F:(num->nat)) (B:num) (C:num), ((((eq nat) A) (F B))->(((ord_less_eq_num B) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_nat (F X3)) (F Y2))))->((ord_less_eq_nat A) (F C))))))
% 1.05/1.22 FOF formula (forall (A:int) (F:(num->int)) (B:num) (C:num), ((((eq int) A) (F B))->(((ord_less_eq_num B) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_int (F X3)) (F Y2))))->((ord_less_eq_int A) (F C)))))) of role axiom named fact_404_ord__eq__le__subst
% 1.05/1.22 A new axiom: (forall (A:int) (F:(num->int)) (B:num) (C:num), ((((eq int) A) (F B))->(((ord_less_eq_num B) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_int (F X3)) (F Y2))))->((ord_less_eq_int A) (F C))))))
% 1.05/1.22 FOF formula (forall (A:real) (F:(num->real)) (B:num) (C:num), ((((eq real) A) (F B))->(((ord_less_eq_num B) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_real (F X3)) (F Y2))))->((ord_less_eq_real A) (F C)))))) of role axiom named fact_405_ord__eq__le__subst
% 1.05/1.22 A new axiom: (forall (A:real) (F:(num->real)) (B:num) (C:num), ((((eq real) A) (F B))->(((ord_less_eq_num B) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_real (F X3)) (F Y2))))->((ord_less_eq_real A) (F C))))))
% 1.05/1.22 FOF formula (forall (X:rat) (Y:rat), ((or ((ord_less_eq_rat X) Y)) ((ord_less_eq_rat Y) X))) of role axiom named fact_406_linorder__linear
% 1.05/1.22 A new axiom: (forall (X:rat) (Y:rat), ((or ((ord_less_eq_rat X) Y)) ((ord_less_eq_rat Y) X)))
% 1.05/1.22 FOF formula (forall (X:num) (Y:num), ((or ((ord_less_eq_num X) Y)) ((ord_less_eq_num Y) X))) of role axiom named fact_407_linorder__linear
% 1.05/1.22 A new axiom: (forall (X:num) (Y:num), ((or ((ord_less_eq_num X) Y)) ((ord_less_eq_num Y) X)))
% 1.05/1.22 FOF formula (forall (X:nat) (Y:nat), ((or ((ord_less_eq_nat X) Y)) ((ord_less_eq_nat Y) X))) of role axiom named fact_408_linorder__linear
% 1.05/1.22 A new axiom: (forall (X:nat) (Y:nat), ((or ((ord_less_eq_nat X) Y)) ((ord_less_eq_nat Y) X)))
% 1.05/1.22 FOF formula (forall (X:int) (Y:int), ((or ((ord_less_eq_int X) Y)) ((ord_less_eq_int Y) X))) of role axiom named fact_409_linorder__linear
% 1.05/1.22 A new axiom: (forall (X:int) (Y:int), ((or ((ord_less_eq_int X) Y)) ((ord_less_eq_int Y) X)))
% 1.05/1.22 FOF formula (forall (X:real) (Y:real), ((or ((ord_less_eq_real X) Y)) ((ord_less_eq_real Y) X))) of role axiom named fact_410_linorder__linear
% 1.05/1.22 A new axiom: (forall (X:real) (Y:real), ((or ((ord_less_eq_real X) Y)) ((ord_less_eq_real Y) X)))
% 1.05/1.22 FOF formula (forall (A:rat) (B:rat), ((or ((or (((eq rat) A) B)) (((ord_less_eq_rat A) B)->False))) (((ord_less_eq_rat B) A)->False))) of role axiom named fact_411_verit__la__disequality
% 1.05/1.22 A new axiom: (forall (A:rat) (B:rat), ((or ((or (((eq rat) A) B)) (((ord_less_eq_rat A) B)->False))) (((ord_less_eq_rat B) A)->False)))
% 1.05/1.22 FOF formula (forall (A:num) (B:num), ((or ((or (((eq num) A) B)) (((ord_less_eq_num A) B)->False))) (((ord_less_eq_num B) A)->False))) of role axiom named fact_412_verit__la__disequality
% 1.05/1.22 A new axiom: (forall (A:num) (B:num), ((or ((or (((eq num) A) B)) (((ord_less_eq_num A) B)->False))) (((ord_less_eq_num B) A)->False)))
% 1.05/1.22 FOF formula (forall (A:nat) (B:nat), ((or ((or (((eq nat) A) B)) (((ord_less_eq_nat A) B)->False))) (((ord_less_eq_nat B) A)->False))) of role axiom named fact_413_verit__la__disequality
% 1.05/1.22 A new axiom: (forall (A:nat) (B:nat), ((or ((or (((eq nat) A) B)) (((ord_less_eq_nat A) B)->False))) (((ord_less_eq_nat B) A)->False)))
% 1.05/1.22 FOF formula (forall (A:int) (B:int), ((or ((or (((eq int) A) B)) (((ord_less_eq_int A) B)->False))) (((ord_less_eq_int B) A)->False))) of role axiom named fact_414_verit__la__disequality
% 1.05/1.22 A new axiom: (forall (A:int) (B:int), ((or ((or (((eq int) A) B)) (((ord_less_eq_int A) B)->False))) (((ord_less_eq_int B) A)->False)))
% 1.05/1.22 FOF formula (forall (A:real) (B:real), ((or ((or (((eq real) A) B)) (((ord_less_eq_real A) B)->False))) (((ord_less_eq_real B) A)->False))) of role axiom named fact_415_verit__la__disequality
% 1.07/1.23 A new axiom: (forall (A:real) (B:real), ((or ((or (((eq real) A) B)) (((ord_less_eq_real A) B)->False))) (((ord_less_eq_real B) A)->False)))
% 1.07/1.23 FOF formula (forall (X:set_int) (Y:set_int), ((((eq set_int) X) Y)->((ord_less_eq_set_int X) Y))) of role axiom named fact_416_order__eq__refl
% 1.07/1.23 A new axiom: (forall (X:set_int) (Y:set_int), ((((eq set_int) X) Y)->((ord_less_eq_set_int X) Y)))
% 1.07/1.23 FOF formula (forall (X:rat) (Y:rat), ((((eq rat) X) Y)->((ord_less_eq_rat X) Y))) of role axiom named fact_417_order__eq__refl
% 1.07/1.23 A new axiom: (forall (X:rat) (Y:rat), ((((eq rat) X) Y)->((ord_less_eq_rat X) Y)))
% 1.07/1.23 FOF formula (forall (X:num) (Y:num), ((((eq num) X) Y)->((ord_less_eq_num X) Y))) of role axiom named fact_418_order__eq__refl
% 1.07/1.23 A new axiom: (forall (X:num) (Y:num), ((((eq num) X) Y)->((ord_less_eq_num X) Y)))
% 1.07/1.23 FOF formula (forall (X:nat) (Y:nat), ((((eq nat) X) Y)->((ord_less_eq_nat X) Y))) of role axiom named fact_419_order__eq__refl
% 1.07/1.23 A new axiom: (forall (X:nat) (Y:nat), ((((eq nat) X) Y)->((ord_less_eq_nat X) Y)))
% 1.07/1.23 FOF formula (forall (X:int) (Y:int), ((((eq int) X) Y)->((ord_less_eq_int X) Y))) of role axiom named fact_420_order__eq__refl
% 1.07/1.23 A new axiom: (forall (X:int) (Y:int), ((((eq int) X) Y)->((ord_less_eq_int X) Y)))
% 1.07/1.23 FOF formula (forall (X:real) (Y:real), ((((eq real) X) Y)->((ord_less_eq_real X) Y))) of role axiom named fact_421_order__eq__refl
% 1.07/1.23 A new axiom: (forall (X:real) (Y:real), ((((eq real) X) Y)->((ord_less_eq_real X) Y)))
% 1.07/1.23 FOF formula (forall (A:rat) (B:rat) (F:(rat->rat)) (C:rat), (((ord_less_eq_rat A) B)->(((ord_less_eq_rat (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat (F A)) C))))) of role axiom named fact_422_order__subst2
% 1.07/1.23 A new axiom: (forall (A:rat) (B:rat) (F:(rat->rat)) (C:rat), (((ord_less_eq_rat A) B)->(((ord_less_eq_rat (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat (F A)) C)))))
% 1.07/1.23 FOF formula (forall (A:rat) (B:rat) (F:(rat->num)) (C:num), (((ord_less_eq_rat A) B)->(((ord_less_eq_num (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num (F A)) C))))) of role axiom named fact_423_order__subst2
% 1.07/1.23 A new axiom: (forall (A:rat) (B:rat) (F:(rat->num)) (C:num), (((ord_less_eq_rat A) B)->(((ord_less_eq_num (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num (F A)) C)))))
% 1.07/1.23 FOF formula (forall (A:rat) (B:rat) (F:(rat->nat)) (C:nat), (((ord_less_eq_rat A) B)->(((ord_less_eq_nat (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_nat (F X3)) (F Y2))))->((ord_less_eq_nat (F A)) C))))) of role axiom named fact_424_order__subst2
% 1.07/1.23 A new axiom: (forall (A:rat) (B:rat) (F:(rat->nat)) (C:nat), (((ord_less_eq_rat A) B)->(((ord_less_eq_nat (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_nat (F X3)) (F Y2))))->((ord_less_eq_nat (F A)) C)))))
% 1.07/1.23 FOF formula (forall (A:rat) (B:rat) (F:(rat->int)) (C:int), (((ord_less_eq_rat A) B)->(((ord_less_eq_int (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_int (F X3)) (F Y2))))->((ord_less_eq_int (F A)) C))))) of role axiom named fact_425_order__subst2
% 1.07/1.23 A new axiom: (forall (A:rat) (B:rat) (F:(rat->int)) (C:int), (((ord_less_eq_rat A) B)->(((ord_less_eq_int (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_int (F X3)) (F Y2))))->((ord_less_eq_int (F A)) C)))))
% 1.07/1.23 FOF formula (forall (A:rat) (B:rat) (F:(rat->real)) (C:real), (((ord_less_eq_rat A) B)->(((ord_less_eq_real (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_real (F X3)) (F Y2))))->((ord_less_eq_real (F A)) C))))) of role axiom named fact_426_order__subst2
% 1.07/1.23 A new axiom: (forall (A:rat) (B:rat) (F:(rat->real)) (C:real), (((ord_less_eq_rat A) B)->(((ord_less_eq_real (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_real (F X3)) (F Y2))))->((ord_less_eq_real (F A)) C)))))
% 1.07/1.24 FOF formula (forall (A:num) (B:num) (F:(num->rat)) (C:rat), (((ord_less_eq_num A) B)->(((ord_less_eq_rat (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat (F A)) C))))) of role axiom named fact_427_order__subst2
% 1.07/1.24 A new axiom: (forall (A:num) (B:num) (F:(num->rat)) (C:rat), (((ord_less_eq_num A) B)->(((ord_less_eq_rat (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat (F A)) C)))))
% 1.07/1.24 FOF formula (forall (A:num) (B:num) (F:(num->num)) (C:num), (((ord_less_eq_num A) B)->(((ord_less_eq_num (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num (F A)) C))))) of role axiom named fact_428_order__subst2
% 1.07/1.24 A new axiom: (forall (A:num) (B:num) (F:(num->num)) (C:num), (((ord_less_eq_num A) B)->(((ord_less_eq_num (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num (F A)) C)))))
% 1.07/1.24 FOF formula (forall (A:num) (B:num) (F:(num->nat)) (C:nat), (((ord_less_eq_num A) B)->(((ord_less_eq_nat (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_nat (F X3)) (F Y2))))->((ord_less_eq_nat (F A)) C))))) of role axiom named fact_429_order__subst2
% 1.07/1.24 A new axiom: (forall (A:num) (B:num) (F:(num->nat)) (C:nat), (((ord_less_eq_num A) B)->(((ord_less_eq_nat (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_nat (F X3)) (F Y2))))->((ord_less_eq_nat (F A)) C)))))
% 1.07/1.24 FOF formula (forall (A:num) (B:num) (F:(num->int)) (C:int), (((ord_less_eq_num A) B)->(((ord_less_eq_int (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_int (F X3)) (F Y2))))->((ord_less_eq_int (F A)) C))))) of role axiom named fact_430_order__subst2
% 1.07/1.24 A new axiom: (forall (A:num) (B:num) (F:(num->int)) (C:int), (((ord_less_eq_num A) B)->(((ord_less_eq_int (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_int (F X3)) (F Y2))))->((ord_less_eq_int (F A)) C)))))
% 1.07/1.24 FOF formula (forall (A:num) (B:num) (F:(num->real)) (C:real), (((ord_less_eq_num A) B)->(((ord_less_eq_real (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_real (F X3)) (F Y2))))->((ord_less_eq_real (F A)) C))))) of role axiom named fact_431_order__subst2
% 1.07/1.24 A new axiom: (forall (A:num) (B:num) (F:(num->real)) (C:real), (((ord_less_eq_num A) B)->(((ord_less_eq_real (F B)) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_real (F X3)) (F Y2))))->((ord_less_eq_real (F A)) C)))))
% 1.07/1.24 FOF formula (forall (A:rat) (F:(rat->rat)) (B:rat) (C:rat), (((ord_less_eq_rat A) (F B))->(((ord_less_eq_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat A) (F C)))))) of role axiom named fact_432_order__subst1
% 1.07/1.24 A new axiom: (forall (A:rat) (F:(rat->rat)) (B:rat) (C:rat), (((ord_less_eq_rat A) (F B))->(((ord_less_eq_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat A) (F C))))))
% 1.07/1.24 FOF formula (forall (A:rat) (F:(num->rat)) (B:num) (C:num), (((ord_less_eq_rat A) (F B))->(((ord_less_eq_num B) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat A) (F C)))))) of role axiom named fact_433_order__subst1
% 1.07/1.24 A new axiom: (forall (A:rat) (F:(num->rat)) (B:num) (C:num), (((ord_less_eq_rat A) (F B))->(((ord_less_eq_num B) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat A) (F C))))))
% 1.07/1.24 FOF formula (forall (A:rat) (F:(nat->rat)) (B:nat) (C:nat), (((ord_less_eq_rat A) (F B))->(((ord_less_eq_nat B) C)->((forall (X3:nat) (Y2:nat), (((ord_less_eq_nat X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat A) (F C)))))) of role axiom named fact_434_order__subst1
% 1.07/1.26 A new axiom: (forall (A:rat) (F:(nat->rat)) (B:nat) (C:nat), (((ord_less_eq_rat A) (F B))->(((ord_less_eq_nat B) C)->((forall (X3:nat) (Y2:nat), (((ord_less_eq_nat X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat A) (F C))))))
% 1.07/1.26 FOF formula (forall (A:rat) (F:(int->rat)) (B:int) (C:int), (((ord_less_eq_rat A) (F B))->(((ord_less_eq_int B) C)->((forall (X3:int) (Y2:int), (((ord_less_eq_int X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat A) (F C)))))) of role axiom named fact_435_order__subst1
% 1.07/1.26 A new axiom: (forall (A:rat) (F:(int->rat)) (B:int) (C:int), (((ord_less_eq_rat A) (F B))->(((ord_less_eq_int B) C)->((forall (X3:int) (Y2:int), (((ord_less_eq_int X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat A) (F C))))))
% 1.07/1.26 FOF formula (forall (A:rat) (F:(real->rat)) (B:real) (C:real), (((ord_less_eq_rat A) (F B))->(((ord_less_eq_real B) C)->((forall (X3:real) (Y2:real), (((ord_less_eq_real X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat A) (F C)))))) of role axiom named fact_436_order__subst1
% 1.07/1.26 A new axiom: (forall (A:rat) (F:(real->rat)) (B:real) (C:real), (((ord_less_eq_rat A) (F B))->(((ord_less_eq_real B) C)->((forall (X3:real) (Y2:real), (((ord_less_eq_real X3) Y2)->((ord_less_eq_rat (F X3)) (F Y2))))->((ord_less_eq_rat A) (F C))))))
% 1.07/1.26 FOF formula (forall (A:num) (F:(rat->num)) (B:rat) (C:rat), (((ord_less_eq_num A) (F B))->(((ord_less_eq_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num A) (F C)))))) of role axiom named fact_437_order__subst1
% 1.07/1.26 A new axiom: (forall (A:num) (F:(rat->num)) (B:rat) (C:rat), (((ord_less_eq_num A) (F B))->(((ord_less_eq_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_eq_rat X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num A) (F C))))))
% 1.07/1.26 FOF formula (forall (A:num) (F:(num->num)) (B:num) (C:num), (((ord_less_eq_num A) (F B))->(((ord_less_eq_num B) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num A) (F C)))))) of role axiom named fact_438_order__subst1
% 1.07/1.26 A new axiom: (forall (A:num) (F:(num->num)) (B:num) (C:num), (((ord_less_eq_num A) (F B))->(((ord_less_eq_num B) C)->((forall (X3:num) (Y2:num), (((ord_less_eq_num X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num A) (F C))))))
% 1.07/1.26 FOF formula (forall (A:num) (F:(nat->num)) (B:nat) (C:nat), (((ord_less_eq_num A) (F B))->(((ord_less_eq_nat B) C)->((forall (X3:nat) (Y2:nat), (((ord_less_eq_nat X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num A) (F C)))))) of role axiom named fact_439_order__subst1
% 1.07/1.26 A new axiom: (forall (A:num) (F:(nat->num)) (B:nat) (C:nat), (((ord_less_eq_num A) (F B))->(((ord_less_eq_nat B) C)->((forall (X3:nat) (Y2:nat), (((ord_less_eq_nat X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num A) (F C))))))
% 1.07/1.26 FOF formula (forall (A:num) (F:(int->num)) (B:int) (C:int), (((ord_less_eq_num A) (F B))->(((ord_less_eq_int B) C)->((forall (X3:int) (Y2:int), (((ord_less_eq_int X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num A) (F C)))))) of role axiom named fact_440_order__subst1
% 1.07/1.26 A new axiom: (forall (A:num) (F:(int->num)) (B:int) (C:int), (((ord_less_eq_num A) (F B))->(((ord_less_eq_int B) C)->((forall (X3:int) (Y2:int), (((ord_less_eq_int X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num A) (F C))))))
% 1.07/1.26 FOF formula (forall (A:num) (F:(real->num)) (B:real) (C:real), (((ord_less_eq_num A) (F B))->(((ord_less_eq_real B) C)->((forall (X3:real) (Y2:real), (((ord_less_eq_real X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num A) (F C)))))) of role axiom named fact_441_order__subst1
% 1.07/1.26 A new axiom: (forall (A:num) (F:(real->num)) (B:real) (C:real), (((ord_less_eq_num A) (F B))->(((ord_less_eq_real B) C)->((forall (X3:real) (Y2:real), (((ord_less_eq_real X3) Y2)->((ord_less_eq_num (F X3)) (F Y2))))->((ord_less_eq_num A) (F C))))))
% 1.07/1.26 FOF formula (((eq (set_int->(set_int->Prop))) (fun (Y5:set_int) (Z2:set_int)=> (((eq set_int) Y5) Z2))) (fun (A4:set_int) (B4:set_int)=> ((and ((ord_less_eq_set_int A4) B4)) ((ord_less_eq_set_int B4) A4)))) of role axiom named fact_442_Orderings_Oorder__eq__iff
% 1.07/1.27 A new axiom: (((eq (set_int->(set_int->Prop))) (fun (Y5:set_int) (Z2:set_int)=> (((eq set_int) Y5) Z2))) (fun (A4:set_int) (B4:set_int)=> ((and ((ord_less_eq_set_int A4) B4)) ((ord_less_eq_set_int B4) A4))))
% 1.07/1.27 FOF formula (((eq (rat->(rat->Prop))) (fun (Y5:rat) (Z2:rat)=> (((eq rat) Y5) Z2))) (fun (A4:rat) (B4:rat)=> ((and ((ord_less_eq_rat A4) B4)) ((ord_less_eq_rat B4) A4)))) of role axiom named fact_443_Orderings_Oorder__eq__iff
% 1.07/1.27 A new axiom: (((eq (rat->(rat->Prop))) (fun (Y5:rat) (Z2:rat)=> (((eq rat) Y5) Z2))) (fun (A4:rat) (B4:rat)=> ((and ((ord_less_eq_rat A4) B4)) ((ord_less_eq_rat B4) A4))))
% 1.07/1.27 FOF formula (((eq (num->(num->Prop))) (fun (Y5:num) (Z2:num)=> (((eq num) Y5) Z2))) (fun (A4:num) (B4:num)=> ((and ((ord_less_eq_num A4) B4)) ((ord_less_eq_num B4) A4)))) of role axiom named fact_444_Orderings_Oorder__eq__iff
% 1.07/1.27 A new axiom: (((eq (num->(num->Prop))) (fun (Y5:num) (Z2:num)=> (((eq num) Y5) Z2))) (fun (A4:num) (B4:num)=> ((and ((ord_less_eq_num A4) B4)) ((ord_less_eq_num B4) A4))))
% 1.07/1.27 FOF formula (((eq (nat->(nat->Prop))) (fun (Y5:nat) (Z2:nat)=> (((eq nat) Y5) Z2))) (fun (A4:nat) (B4:nat)=> ((and ((ord_less_eq_nat A4) B4)) ((ord_less_eq_nat B4) A4)))) of role axiom named fact_445_Orderings_Oorder__eq__iff
% 1.07/1.27 A new axiom: (((eq (nat->(nat->Prop))) (fun (Y5:nat) (Z2:nat)=> (((eq nat) Y5) Z2))) (fun (A4:nat) (B4:nat)=> ((and ((ord_less_eq_nat A4) B4)) ((ord_less_eq_nat B4) A4))))
% 1.07/1.27 FOF formula (((eq (int->(int->Prop))) (fun (Y5:int) (Z2:int)=> (((eq int) Y5) Z2))) (fun (A4:int) (B4:int)=> ((and ((ord_less_eq_int A4) B4)) ((ord_less_eq_int B4) A4)))) of role axiom named fact_446_Orderings_Oorder__eq__iff
% 1.07/1.27 A new axiom: (((eq (int->(int->Prop))) (fun (Y5:int) (Z2:int)=> (((eq int) Y5) Z2))) (fun (A4:int) (B4:int)=> ((and ((ord_less_eq_int A4) B4)) ((ord_less_eq_int B4) A4))))
% 1.07/1.27 FOF formula (((eq (real->(real->Prop))) (fun (Y5:real) (Z2:real)=> (((eq real) Y5) Z2))) (fun (A4:real) (B4:real)=> ((and ((ord_less_eq_real A4) B4)) ((ord_less_eq_real B4) A4)))) of role axiom named fact_447_Orderings_Oorder__eq__iff
% 1.07/1.27 A new axiom: (((eq (real->(real->Prop))) (fun (Y5:real) (Z2:real)=> (((eq real) Y5) Z2))) (fun (A4:real) (B4:real)=> ((and ((ord_less_eq_real A4) B4)) ((ord_less_eq_real B4) A4))))
% 1.07/1.27 FOF formula (forall (A:set_int) (B:set_int), (((ord_less_eq_set_int A) B)->(((ord_less_eq_set_int B) A)->(((eq set_int) A) B)))) of role axiom named fact_448_antisym
% 1.07/1.27 A new axiom: (forall (A:set_int) (B:set_int), (((ord_less_eq_set_int A) B)->(((ord_less_eq_set_int B) A)->(((eq set_int) A) B))))
% 1.07/1.27 FOF formula (forall (A:rat) (B:rat), (((ord_less_eq_rat A) B)->(((ord_less_eq_rat B) A)->(((eq rat) A) B)))) of role axiom named fact_449_antisym
% 1.07/1.27 A new axiom: (forall (A:rat) (B:rat), (((ord_less_eq_rat A) B)->(((ord_less_eq_rat B) A)->(((eq rat) A) B))))
% 1.07/1.27 FOF formula (forall (A:num) (B:num), (((ord_less_eq_num A) B)->(((ord_less_eq_num B) A)->(((eq num) A) B)))) of role axiom named fact_450_antisym
% 1.07/1.27 A new axiom: (forall (A:num) (B:num), (((ord_less_eq_num A) B)->(((ord_less_eq_num B) A)->(((eq num) A) B))))
% 1.07/1.27 FOF formula (forall (A:nat) (B:nat), (((ord_less_eq_nat A) B)->(((ord_less_eq_nat B) A)->(((eq nat) A) B)))) of role axiom named fact_451_antisym
% 1.07/1.27 A new axiom: (forall (A:nat) (B:nat), (((ord_less_eq_nat A) B)->(((ord_less_eq_nat B) A)->(((eq nat) A) B))))
% 1.07/1.27 FOF formula (forall (A:int) (B:int), (((ord_less_eq_int A) B)->(((ord_less_eq_int B) A)->(((eq int) A) B)))) of role axiom named fact_452_antisym
% 1.07/1.27 A new axiom: (forall (A:int) (B:int), (((ord_less_eq_int A) B)->(((ord_less_eq_int B) A)->(((eq int) A) B))))
% 1.07/1.27 FOF formula (forall (A:real) (B:real), (((ord_less_eq_real A) B)->(((ord_less_eq_real B) A)->(((eq real) A) B)))) of role axiom named fact_453_antisym
% 1.07/1.27 A new axiom: (forall (A:real) (B:real), (((ord_less_eq_real A) B)->(((ord_less_eq_real B) A)->(((eq real) A) B))))
% 1.07/1.27 FOF formula (forall (B:set_int) (A:set_int) (C:set_int), (((ord_less_eq_set_int B) A)->(((ord_less_eq_set_int C) B)->((ord_less_eq_set_int C) A)))) of role axiom named fact_454_dual__order_Otrans
% 1.07/1.28 A new axiom: (forall (B:set_int) (A:set_int) (C:set_int), (((ord_less_eq_set_int B) A)->(((ord_less_eq_set_int C) B)->((ord_less_eq_set_int C) A))))
% 1.07/1.28 FOF formula (forall (B:rat) (A:rat) (C:rat), (((ord_less_eq_rat B) A)->(((ord_less_eq_rat C) B)->((ord_less_eq_rat C) A)))) of role axiom named fact_455_dual__order_Otrans
% 1.07/1.28 A new axiom: (forall (B:rat) (A:rat) (C:rat), (((ord_less_eq_rat B) A)->(((ord_less_eq_rat C) B)->((ord_less_eq_rat C) A))))
% 1.07/1.28 FOF formula (forall (B:num) (A:num) (C:num), (((ord_less_eq_num B) A)->(((ord_less_eq_num C) B)->((ord_less_eq_num C) A)))) of role axiom named fact_456_dual__order_Otrans
% 1.07/1.28 A new axiom: (forall (B:num) (A:num) (C:num), (((ord_less_eq_num B) A)->(((ord_less_eq_num C) B)->((ord_less_eq_num C) A))))
% 1.07/1.28 FOF formula (forall (B:nat) (A:nat) (C:nat), (((ord_less_eq_nat B) A)->(((ord_less_eq_nat C) B)->((ord_less_eq_nat C) A)))) of role axiom named fact_457_dual__order_Otrans
% 1.07/1.28 A new axiom: (forall (B:nat) (A:nat) (C:nat), (((ord_less_eq_nat B) A)->(((ord_less_eq_nat C) B)->((ord_less_eq_nat C) A))))
% 1.07/1.28 FOF formula (forall (B:int) (A:int) (C:int), (((ord_less_eq_int B) A)->(((ord_less_eq_int C) B)->((ord_less_eq_int C) A)))) of role axiom named fact_458_dual__order_Otrans
% 1.07/1.28 A new axiom: (forall (B:int) (A:int) (C:int), (((ord_less_eq_int B) A)->(((ord_less_eq_int C) B)->((ord_less_eq_int C) A))))
% 1.07/1.28 FOF formula (forall (B:real) (A:real) (C:real), (((ord_less_eq_real B) A)->(((ord_less_eq_real C) B)->((ord_less_eq_real C) A)))) of role axiom named fact_459_dual__order_Otrans
% 1.07/1.28 A new axiom: (forall (B:real) (A:real) (C:real), (((ord_less_eq_real B) A)->(((ord_less_eq_real C) B)->((ord_less_eq_real C) A))))
% 1.07/1.28 FOF formula (forall (B:set_int) (A:set_int), (((ord_less_eq_set_int B) A)->(((ord_less_eq_set_int A) B)->(((eq set_int) A) B)))) of role axiom named fact_460_dual__order_Oantisym
% 1.07/1.28 A new axiom: (forall (B:set_int) (A:set_int), (((ord_less_eq_set_int B) A)->(((ord_less_eq_set_int A) B)->(((eq set_int) A) B))))
% 1.07/1.28 FOF formula (forall (B:rat) (A:rat), (((ord_less_eq_rat B) A)->(((ord_less_eq_rat A) B)->(((eq rat) A) B)))) of role axiom named fact_461_dual__order_Oantisym
% 1.07/1.28 A new axiom: (forall (B:rat) (A:rat), (((ord_less_eq_rat B) A)->(((ord_less_eq_rat A) B)->(((eq rat) A) B))))
% 1.07/1.28 FOF formula (forall (B:num) (A:num), (((ord_less_eq_num B) A)->(((ord_less_eq_num A) B)->(((eq num) A) B)))) of role axiom named fact_462_dual__order_Oantisym
% 1.07/1.28 A new axiom: (forall (B:num) (A:num), (((ord_less_eq_num B) A)->(((ord_less_eq_num A) B)->(((eq num) A) B))))
% 1.07/1.28 FOF formula (forall (B:nat) (A:nat), (((ord_less_eq_nat B) A)->(((ord_less_eq_nat A) B)->(((eq nat) A) B)))) of role axiom named fact_463_dual__order_Oantisym
% 1.07/1.28 A new axiom: (forall (B:nat) (A:nat), (((ord_less_eq_nat B) A)->(((ord_less_eq_nat A) B)->(((eq nat) A) B))))
% 1.07/1.28 FOF formula (forall (B:int) (A:int), (((ord_less_eq_int B) A)->(((ord_less_eq_int A) B)->(((eq int) A) B)))) of role axiom named fact_464_dual__order_Oantisym
% 1.07/1.28 A new axiom: (forall (B:int) (A:int), (((ord_less_eq_int B) A)->(((ord_less_eq_int A) B)->(((eq int) A) B))))
% 1.07/1.28 FOF formula (forall (B:real) (A:real), (((ord_less_eq_real B) A)->(((ord_less_eq_real A) B)->(((eq real) A) B)))) of role axiom named fact_465_dual__order_Oantisym
% 1.07/1.28 A new axiom: (forall (B:real) (A:real), (((ord_less_eq_real B) A)->(((ord_less_eq_real A) B)->(((eq real) A) B))))
% 1.07/1.28 FOF formula (((eq (set_int->(set_int->Prop))) (fun (Y5:set_int) (Z2:set_int)=> (((eq set_int) Y5) Z2))) (fun (A4:set_int) (B4:set_int)=> ((and ((ord_less_eq_set_int B4) A4)) ((ord_less_eq_set_int A4) B4)))) of role axiom named fact_466_dual__order_Oeq__iff
% 1.07/1.28 A new axiom: (((eq (set_int->(set_int->Prop))) (fun (Y5:set_int) (Z2:set_int)=> (((eq set_int) Y5) Z2))) (fun (A4:set_int) (B4:set_int)=> ((and ((ord_less_eq_set_int B4) A4)) ((ord_less_eq_set_int A4) B4))))
% 1.07/1.28 FOF formula (((eq (rat->(rat->Prop))) (fun (Y5:rat) (Z2:rat)=> (((eq rat) Y5) Z2))) (fun (A4:rat) (B4:rat)=> ((and ((ord_less_eq_rat B4) A4)) ((ord_less_eq_rat A4) B4)))) of role axiom named fact_467_dual__order_Oeq__iff
% 1.07/1.28 A new axiom: (((eq (rat->(rat->Prop))) (fun (Y5:rat) (Z2:rat)=> (((eq rat) Y5) Z2))) (fun (A4:rat) (B4:rat)=> ((and ((ord_less_eq_rat B4) A4)) ((ord_less_eq_rat A4) B4))))
% 1.07/1.29 FOF formula (((eq (num->(num->Prop))) (fun (Y5:num) (Z2:num)=> (((eq num) Y5) Z2))) (fun (A4:num) (B4:num)=> ((and ((ord_less_eq_num B4) A4)) ((ord_less_eq_num A4) B4)))) of role axiom named fact_468_dual__order_Oeq__iff
% 1.07/1.29 A new axiom: (((eq (num->(num->Prop))) (fun (Y5:num) (Z2:num)=> (((eq num) Y5) Z2))) (fun (A4:num) (B4:num)=> ((and ((ord_less_eq_num B4) A4)) ((ord_less_eq_num A4) B4))))
% 1.07/1.29 FOF formula (((eq (nat->(nat->Prop))) (fun (Y5:nat) (Z2:nat)=> (((eq nat) Y5) Z2))) (fun (A4:nat) (B4:nat)=> ((and ((ord_less_eq_nat B4) A4)) ((ord_less_eq_nat A4) B4)))) of role axiom named fact_469_dual__order_Oeq__iff
% 1.07/1.29 A new axiom: (((eq (nat->(nat->Prop))) (fun (Y5:nat) (Z2:nat)=> (((eq nat) Y5) Z2))) (fun (A4:nat) (B4:nat)=> ((and ((ord_less_eq_nat B4) A4)) ((ord_less_eq_nat A4) B4))))
% 1.07/1.29 FOF formula (((eq (int->(int->Prop))) (fun (Y5:int) (Z2:int)=> (((eq int) Y5) Z2))) (fun (A4:int) (B4:int)=> ((and ((ord_less_eq_int B4) A4)) ((ord_less_eq_int A4) B4)))) of role axiom named fact_470_dual__order_Oeq__iff
% 1.07/1.29 A new axiom: (((eq (int->(int->Prop))) (fun (Y5:int) (Z2:int)=> (((eq int) Y5) Z2))) (fun (A4:int) (B4:int)=> ((and ((ord_less_eq_int B4) A4)) ((ord_less_eq_int A4) B4))))
% 1.07/1.29 FOF formula (((eq (real->(real->Prop))) (fun (Y5:real) (Z2:real)=> (((eq real) Y5) Z2))) (fun (A4:real) (B4:real)=> ((and ((ord_less_eq_real B4) A4)) ((ord_less_eq_real A4) B4)))) of role axiom named fact_471_dual__order_Oeq__iff
% 1.07/1.29 A new axiom: (((eq (real->(real->Prop))) (fun (Y5:real) (Z2:real)=> (((eq real) Y5) Z2))) (fun (A4:real) (B4:real)=> ((and ((ord_less_eq_real B4) A4)) ((ord_less_eq_real A4) B4))))
% 1.07/1.29 FOF formula (forall (P:(rat->(rat->Prop))) (A:rat) (B:rat), ((forall (A5:rat) (B5:rat), (((ord_less_eq_rat A5) B5)->((P A5) B5)))->((forall (A5:rat) (B5:rat), (((P B5) A5)->((P A5) B5)))->((P A) B)))) of role axiom named fact_472_linorder__wlog
% 1.07/1.29 A new axiom: (forall (P:(rat->(rat->Prop))) (A:rat) (B:rat), ((forall (A5:rat) (B5:rat), (((ord_less_eq_rat A5) B5)->((P A5) B5)))->((forall (A5:rat) (B5:rat), (((P B5) A5)->((P A5) B5)))->((P A) B))))
% 1.07/1.29 FOF formula (forall (P:(num->(num->Prop))) (A:num) (B:num), ((forall (A5:num) (B5:num), (((ord_less_eq_num A5) B5)->((P A5) B5)))->((forall (A5:num) (B5:num), (((P B5) A5)->((P A5) B5)))->((P A) B)))) of role axiom named fact_473_linorder__wlog
% 1.07/1.29 A new axiom: (forall (P:(num->(num->Prop))) (A:num) (B:num), ((forall (A5:num) (B5:num), (((ord_less_eq_num A5) B5)->((P A5) B5)))->((forall (A5:num) (B5:num), (((P B5) A5)->((P A5) B5)))->((P A) B))))
% 1.07/1.29 FOF formula (forall (P:(nat->(nat->Prop))) (A:nat) (B:nat), ((forall (A5:nat) (B5:nat), (((ord_less_eq_nat A5) B5)->((P A5) B5)))->((forall (A5:nat) (B5:nat), (((P B5) A5)->((P A5) B5)))->((P A) B)))) of role axiom named fact_474_linorder__wlog
% 1.07/1.29 A new axiom: (forall (P:(nat->(nat->Prop))) (A:nat) (B:nat), ((forall (A5:nat) (B5:nat), (((ord_less_eq_nat A5) B5)->((P A5) B5)))->((forall (A5:nat) (B5:nat), (((P B5) A5)->((P A5) B5)))->((P A) B))))
% 1.07/1.29 FOF formula (forall (P:(int->(int->Prop))) (A:int) (B:int), ((forall (A5:int) (B5:int), (((ord_less_eq_int A5) B5)->((P A5) B5)))->((forall (A5:int) (B5:int), (((P B5) A5)->((P A5) B5)))->((P A) B)))) of role axiom named fact_475_linorder__wlog
% 1.07/1.29 A new axiom: (forall (P:(int->(int->Prop))) (A:int) (B:int), ((forall (A5:int) (B5:int), (((ord_less_eq_int A5) B5)->((P A5) B5)))->((forall (A5:int) (B5:int), (((P B5) A5)->((P A5) B5)))->((P A) B))))
% 1.07/1.29 FOF formula (forall (P:(real->(real->Prop))) (A:real) (B:real), ((forall (A5:real) (B5:real), (((ord_less_eq_real A5) B5)->((P A5) B5)))->((forall (A5:real) (B5:real), (((P B5) A5)->((P A5) B5)))->((P A) B)))) of role axiom named fact_476_linorder__wlog
% 1.07/1.29 A new axiom: (forall (P:(real->(real->Prop))) (A:real) (B:real), ((forall (A5:real) (B5:real), (((ord_less_eq_real A5) B5)->((P A5) B5)))->((forall (A5:real) (B5:real), (((P B5) A5)->((P A5) B5)))->((P A) B))))
% 1.07/1.29 FOF formula (forall (X:set_int) (Y:set_int) (Z3:set_int), (((ord_less_eq_set_int X) Y)->(((ord_less_eq_set_int Y) Z3)->((ord_less_eq_set_int X) Z3)))) of role axiom named fact_477_order__trans
% 1.07/1.30 A new axiom: (forall (X:set_int) (Y:set_int) (Z3:set_int), (((ord_less_eq_set_int X) Y)->(((ord_less_eq_set_int Y) Z3)->((ord_less_eq_set_int X) Z3))))
% 1.07/1.30 FOF formula (forall (X:rat) (Y:rat) (Z3:rat), (((ord_less_eq_rat X) Y)->(((ord_less_eq_rat Y) Z3)->((ord_less_eq_rat X) Z3)))) of role axiom named fact_478_order__trans
% 1.07/1.30 A new axiom: (forall (X:rat) (Y:rat) (Z3:rat), (((ord_less_eq_rat X) Y)->(((ord_less_eq_rat Y) Z3)->((ord_less_eq_rat X) Z3))))
% 1.07/1.30 FOF formula (forall (X:num) (Y:num) (Z3:num), (((ord_less_eq_num X) Y)->(((ord_less_eq_num Y) Z3)->((ord_less_eq_num X) Z3)))) of role axiom named fact_479_order__trans
% 1.07/1.30 A new axiom: (forall (X:num) (Y:num) (Z3:num), (((ord_less_eq_num X) Y)->(((ord_less_eq_num Y) Z3)->((ord_less_eq_num X) Z3))))
% 1.07/1.30 FOF formula (forall (X:nat) (Y:nat) (Z3:nat), (((ord_less_eq_nat X) Y)->(((ord_less_eq_nat Y) Z3)->((ord_less_eq_nat X) Z3)))) of role axiom named fact_480_order__trans
% 1.07/1.30 A new axiom: (forall (X:nat) (Y:nat) (Z3:nat), (((ord_less_eq_nat X) Y)->(((ord_less_eq_nat Y) Z3)->((ord_less_eq_nat X) Z3))))
% 1.07/1.30 FOF formula (forall (X:int) (Y:int) (Z3:int), (((ord_less_eq_int X) Y)->(((ord_less_eq_int Y) Z3)->((ord_less_eq_int X) Z3)))) of role axiom named fact_481_order__trans
% 1.07/1.30 A new axiom: (forall (X:int) (Y:int) (Z3:int), (((ord_less_eq_int X) Y)->(((ord_less_eq_int Y) Z3)->((ord_less_eq_int X) Z3))))
% 1.07/1.30 FOF formula (forall (X:real) (Y:real) (Z3:real), (((ord_less_eq_real X) Y)->(((ord_less_eq_real Y) Z3)->((ord_less_eq_real X) Z3)))) of role axiom named fact_482_order__trans
% 1.07/1.30 A new axiom: (forall (X:real) (Y:real) (Z3:real), (((ord_less_eq_real X) Y)->(((ord_less_eq_real Y) Z3)->((ord_less_eq_real X) Z3))))
% 1.07/1.30 FOF formula (forall (A:set_int) (B:set_int) (C:set_int), (((ord_less_eq_set_int A) B)->(((ord_less_eq_set_int B) C)->((ord_less_eq_set_int A) C)))) of role axiom named fact_483_order_Otrans
% 1.07/1.30 A new axiom: (forall (A:set_int) (B:set_int) (C:set_int), (((ord_less_eq_set_int A) B)->(((ord_less_eq_set_int B) C)->((ord_less_eq_set_int A) C))))
% 1.07/1.30 FOF formula (forall (A:rat) (B:rat) (C:rat), (((ord_less_eq_rat A) B)->(((ord_less_eq_rat B) C)->((ord_less_eq_rat A) C)))) of role axiom named fact_484_order_Otrans
% 1.07/1.30 A new axiom: (forall (A:rat) (B:rat) (C:rat), (((ord_less_eq_rat A) B)->(((ord_less_eq_rat B) C)->((ord_less_eq_rat A) C))))
% 1.07/1.30 FOF formula (forall (A:num) (B:num) (C:num), (((ord_less_eq_num A) B)->(((ord_less_eq_num B) C)->((ord_less_eq_num A) C)))) of role axiom named fact_485_order_Otrans
% 1.07/1.30 A new axiom: (forall (A:num) (B:num) (C:num), (((ord_less_eq_num A) B)->(((ord_less_eq_num B) C)->((ord_less_eq_num A) C))))
% 1.07/1.30 FOF formula (forall (A:nat) (B:nat) (C:nat), (((ord_less_eq_nat A) B)->(((ord_less_eq_nat B) C)->((ord_less_eq_nat A) C)))) of role axiom named fact_486_order_Otrans
% 1.07/1.30 A new axiom: (forall (A:nat) (B:nat) (C:nat), (((ord_less_eq_nat A) B)->(((ord_less_eq_nat B) C)->((ord_less_eq_nat A) C))))
% 1.07/1.30 FOF formula (forall (A:int) (B:int) (C:int), (((ord_less_eq_int A) B)->(((ord_less_eq_int B) C)->((ord_less_eq_int A) C)))) of role axiom named fact_487_order_Otrans
% 1.07/1.30 A new axiom: (forall (A:int) (B:int) (C:int), (((ord_less_eq_int A) B)->(((ord_less_eq_int B) C)->((ord_less_eq_int A) C))))
% 1.07/1.30 FOF formula (forall (A:real) (B:real) (C:real), (((ord_less_eq_real A) B)->(((ord_less_eq_real B) C)->((ord_less_eq_real A) C)))) of role axiom named fact_488_order_Otrans
% 1.07/1.30 A new axiom: (forall (A:real) (B:real) (C:real), (((ord_less_eq_real A) B)->(((ord_less_eq_real B) C)->((ord_less_eq_real A) C))))
% 1.07/1.30 FOF formula (forall (X:set_int) (Y:set_int), (((ord_less_eq_set_int X) Y)->(((ord_less_eq_set_int Y) X)->(((eq set_int) X) Y)))) of role axiom named fact_489_order__antisym
% 1.07/1.30 A new axiom: (forall (X:set_int) (Y:set_int), (((ord_less_eq_set_int X) Y)->(((ord_less_eq_set_int Y) X)->(((eq set_int) X) Y))))
% 1.07/1.30 FOF formula (forall (X:rat) (Y:rat), (((ord_less_eq_rat X) Y)->(((ord_less_eq_rat Y) X)->(((eq rat) X) Y)))) of role axiom named fact_490_order__antisym
% 1.07/1.30 A new axiom: (forall (X:rat) (Y:rat), (((ord_less_eq_rat X) Y)->(((ord_less_eq_rat Y) X)->(((eq rat) X) Y))))
% 1.07/1.30 FOF formula (forall (X:num) (Y:num), (((ord_less_eq_num X) Y)->(((ord_less_eq_num Y) X)->(((eq num) X) Y)))) of role axiom named fact_491_order__antisym
% 1.15/1.31 A new axiom: (forall (X:num) (Y:num), (((ord_less_eq_num X) Y)->(((ord_less_eq_num Y) X)->(((eq num) X) Y))))
% 1.15/1.31 FOF formula (forall (X:nat) (Y:nat), (((ord_less_eq_nat X) Y)->(((ord_less_eq_nat Y) X)->(((eq nat) X) Y)))) of role axiom named fact_492_order__antisym
% 1.15/1.31 A new axiom: (forall (X:nat) (Y:nat), (((ord_less_eq_nat X) Y)->(((ord_less_eq_nat Y) X)->(((eq nat) X) Y))))
% 1.15/1.31 FOF formula (forall (X:int) (Y:int), (((ord_less_eq_int X) Y)->(((ord_less_eq_int Y) X)->(((eq int) X) Y)))) of role axiom named fact_493_order__antisym
% 1.15/1.31 A new axiom: (forall (X:int) (Y:int), (((ord_less_eq_int X) Y)->(((ord_less_eq_int Y) X)->(((eq int) X) Y))))
% 1.15/1.31 FOF formula (forall (X:real) (Y:real), (((ord_less_eq_real X) Y)->(((ord_less_eq_real Y) X)->(((eq real) X) Y)))) of role axiom named fact_494_order__antisym
% 1.15/1.31 A new axiom: (forall (X:real) (Y:real), (((ord_less_eq_real X) Y)->(((ord_less_eq_real Y) X)->(((eq real) X) Y))))
% 1.15/1.31 FOF formula (forall (A:set_int) (B:set_int) (C:set_int), (((ord_less_eq_set_int A) B)->((((eq set_int) B) C)->((ord_less_eq_set_int A) C)))) of role axiom named fact_495_ord__le__eq__trans
% 1.15/1.31 A new axiom: (forall (A:set_int) (B:set_int) (C:set_int), (((ord_less_eq_set_int A) B)->((((eq set_int) B) C)->((ord_less_eq_set_int A) C))))
% 1.15/1.31 FOF formula (forall (A:rat) (B:rat) (C:rat), (((ord_less_eq_rat A) B)->((((eq rat) B) C)->((ord_less_eq_rat A) C)))) of role axiom named fact_496_ord__le__eq__trans
% 1.15/1.31 A new axiom: (forall (A:rat) (B:rat) (C:rat), (((ord_less_eq_rat A) B)->((((eq rat) B) C)->((ord_less_eq_rat A) C))))
% 1.15/1.31 FOF formula (forall (A:num) (B:num) (C:num), (((ord_less_eq_num A) B)->((((eq num) B) C)->((ord_less_eq_num A) C)))) of role axiom named fact_497_ord__le__eq__trans
% 1.15/1.31 A new axiom: (forall (A:num) (B:num) (C:num), (((ord_less_eq_num A) B)->((((eq num) B) C)->((ord_less_eq_num A) C))))
% 1.15/1.31 FOF formula (forall (A:nat) (B:nat) (C:nat), (((ord_less_eq_nat A) B)->((((eq nat) B) C)->((ord_less_eq_nat A) C)))) of role axiom named fact_498_ord__le__eq__trans
% 1.15/1.31 A new axiom: (forall (A:nat) (B:nat) (C:nat), (((ord_less_eq_nat A) B)->((((eq nat) B) C)->((ord_less_eq_nat A) C))))
% 1.15/1.31 FOF formula (forall (A:int) (B:int) (C:int), (((ord_less_eq_int A) B)->((((eq int) B) C)->((ord_less_eq_int A) C)))) of role axiom named fact_499_ord__le__eq__trans
% 1.15/1.31 A new axiom: (forall (A:int) (B:int) (C:int), (((ord_less_eq_int A) B)->((((eq int) B) C)->((ord_less_eq_int A) C))))
% 1.15/1.31 FOF formula (forall (A:real) (B:real) (C:real), (((ord_less_eq_real A) B)->((((eq real) B) C)->((ord_less_eq_real A) C)))) of role axiom named fact_500_ord__le__eq__trans
% 1.15/1.31 A new axiom: (forall (A:real) (B:real) (C:real), (((ord_less_eq_real A) B)->((((eq real) B) C)->((ord_less_eq_real A) C))))
% 1.15/1.31 FOF formula (forall (A:set_int) (B:set_int) (C:set_int), ((((eq set_int) A) B)->(((ord_less_eq_set_int B) C)->((ord_less_eq_set_int A) C)))) of role axiom named fact_501_ord__eq__le__trans
% 1.15/1.31 A new axiom: (forall (A:set_int) (B:set_int) (C:set_int), ((((eq set_int) A) B)->(((ord_less_eq_set_int B) C)->((ord_less_eq_set_int A) C))))
% 1.15/1.31 FOF formula (forall (A:rat) (B:rat) (C:rat), ((((eq rat) A) B)->(((ord_less_eq_rat B) C)->((ord_less_eq_rat A) C)))) of role axiom named fact_502_ord__eq__le__trans
% 1.15/1.31 A new axiom: (forall (A:rat) (B:rat) (C:rat), ((((eq rat) A) B)->(((ord_less_eq_rat B) C)->((ord_less_eq_rat A) C))))
% 1.15/1.31 FOF formula (forall (A:num) (B:num) (C:num), ((((eq num) A) B)->(((ord_less_eq_num B) C)->((ord_less_eq_num A) C)))) of role axiom named fact_503_ord__eq__le__trans
% 1.15/1.31 A new axiom: (forall (A:num) (B:num) (C:num), ((((eq num) A) B)->(((ord_less_eq_num B) C)->((ord_less_eq_num A) C))))
% 1.15/1.31 FOF formula (forall (A:nat) (B:nat) (C:nat), ((((eq nat) A) B)->(((ord_less_eq_nat B) C)->((ord_less_eq_nat A) C)))) of role axiom named fact_504_ord__eq__le__trans
% 1.15/1.31 A new axiom: (forall (A:nat) (B:nat) (C:nat), ((((eq nat) A) B)->(((ord_less_eq_nat B) C)->((ord_less_eq_nat A) C))))
% 1.15/1.31 FOF formula (forall (A:int) (B:int) (C:int), ((((eq int) A) B)->(((ord_less_eq_int B) C)->((ord_less_eq_int A) C)))) of role axiom named fact_505_ord__eq__le__trans
% 1.15/1.32 A new axiom: (forall (A:int) (B:int) (C:int), ((((eq int) A) B)->(((ord_less_eq_int B) C)->((ord_less_eq_int A) C))))
% 1.15/1.32 FOF formula (forall (A:real) (B:real) (C:real), ((((eq real) A) B)->(((ord_less_eq_real B) C)->((ord_less_eq_real A) C)))) of role axiom named fact_506_ord__eq__le__trans
% 1.15/1.32 A new axiom: (forall (A:real) (B:real) (C:real), ((((eq real) A) B)->(((ord_less_eq_real B) C)->((ord_less_eq_real A) C))))
% 1.15/1.32 FOF formula (((eq (set_int->(set_int->Prop))) (fun (Y5:set_int) (Z2:set_int)=> (((eq set_int) Y5) Z2))) (fun (X2:set_int) (Y4:set_int)=> ((and ((ord_less_eq_set_int X2) Y4)) ((ord_less_eq_set_int Y4) X2)))) of role axiom named fact_507_order__class_Oorder__eq__iff
% 1.15/1.32 A new axiom: (((eq (set_int->(set_int->Prop))) (fun (Y5:set_int) (Z2:set_int)=> (((eq set_int) Y5) Z2))) (fun (X2:set_int) (Y4:set_int)=> ((and ((ord_less_eq_set_int X2) Y4)) ((ord_less_eq_set_int Y4) X2))))
% 1.15/1.32 FOF formula (((eq (rat->(rat->Prop))) (fun (Y5:rat) (Z2:rat)=> (((eq rat) Y5) Z2))) (fun (X2:rat) (Y4:rat)=> ((and ((ord_less_eq_rat X2) Y4)) ((ord_less_eq_rat Y4) X2)))) of role axiom named fact_508_order__class_Oorder__eq__iff
% 1.15/1.32 A new axiom: (((eq (rat->(rat->Prop))) (fun (Y5:rat) (Z2:rat)=> (((eq rat) Y5) Z2))) (fun (X2:rat) (Y4:rat)=> ((and ((ord_less_eq_rat X2) Y4)) ((ord_less_eq_rat Y4) X2))))
% 1.15/1.32 FOF formula (((eq (num->(num->Prop))) (fun (Y5:num) (Z2:num)=> (((eq num) Y5) Z2))) (fun (X2:num) (Y4:num)=> ((and ((ord_less_eq_num X2) Y4)) ((ord_less_eq_num Y4) X2)))) of role axiom named fact_509_order__class_Oorder__eq__iff
% 1.15/1.32 A new axiom: (((eq (num->(num->Prop))) (fun (Y5:num) (Z2:num)=> (((eq num) Y5) Z2))) (fun (X2:num) (Y4:num)=> ((and ((ord_less_eq_num X2) Y4)) ((ord_less_eq_num Y4) X2))))
% 1.15/1.32 FOF formula (((eq (nat->(nat->Prop))) (fun (Y5:nat) (Z2:nat)=> (((eq nat) Y5) Z2))) (fun (X2:nat) (Y4:nat)=> ((and ((ord_less_eq_nat X2) Y4)) ((ord_less_eq_nat Y4) X2)))) of role axiom named fact_510_order__class_Oorder__eq__iff
% 1.15/1.32 A new axiom: (((eq (nat->(nat->Prop))) (fun (Y5:nat) (Z2:nat)=> (((eq nat) Y5) Z2))) (fun (X2:nat) (Y4:nat)=> ((and ((ord_less_eq_nat X2) Y4)) ((ord_less_eq_nat Y4) X2))))
% 1.15/1.32 FOF formula (((eq (int->(int->Prop))) (fun (Y5:int) (Z2:int)=> (((eq int) Y5) Z2))) (fun (X2:int) (Y4:int)=> ((and ((ord_less_eq_int X2) Y4)) ((ord_less_eq_int Y4) X2)))) of role axiom named fact_511_order__class_Oorder__eq__iff
% 1.15/1.32 A new axiom: (((eq (int->(int->Prop))) (fun (Y5:int) (Z2:int)=> (((eq int) Y5) Z2))) (fun (X2:int) (Y4:int)=> ((and ((ord_less_eq_int X2) Y4)) ((ord_less_eq_int Y4) X2))))
% 1.15/1.32 FOF formula (((eq (real->(real->Prop))) (fun (Y5:real) (Z2:real)=> (((eq real) Y5) Z2))) (fun (X2:real) (Y4:real)=> ((and ((ord_less_eq_real X2) Y4)) ((ord_less_eq_real Y4) X2)))) of role axiom named fact_512_order__class_Oorder__eq__iff
% 1.15/1.32 A new axiom: (((eq (real->(real->Prop))) (fun (Y5:real) (Z2:real)=> (((eq real) Y5) Z2))) (fun (X2:real) (Y4:real)=> ((and ((ord_less_eq_real X2) Y4)) ((ord_less_eq_real Y4) X2))))
% 1.15/1.32 FOF formula (forall (X:rat) (Y:rat) (Z3:rat), ((((ord_less_eq_rat X) Y)->(((ord_less_eq_rat Y) Z3)->False))->((((ord_less_eq_rat Y) X)->(((ord_less_eq_rat X) Z3)->False))->((((ord_less_eq_rat X) Z3)->(((ord_less_eq_rat Z3) Y)->False))->((((ord_less_eq_rat Z3) Y)->(((ord_less_eq_rat Y) X)->False))->((((ord_less_eq_rat Y) Z3)->(((ord_less_eq_rat Z3) X)->False))->((((ord_less_eq_rat Z3) X)->(((ord_less_eq_rat X) Y)->False))->False))))))) of role axiom named fact_513_le__cases3
% 1.15/1.32 A new axiom: (forall (X:rat) (Y:rat) (Z3:rat), ((((ord_less_eq_rat X) Y)->(((ord_less_eq_rat Y) Z3)->False))->((((ord_less_eq_rat Y) X)->(((ord_less_eq_rat X) Z3)->False))->((((ord_less_eq_rat X) Z3)->(((ord_less_eq_rat Z3) Y)->False))->((((ord_less_eq_rat Z3) Y)->(((ord_less_eq_rat Y) X)->False))->((((ord_less_eq_rat Y) Z3)->(((ord_less_eq_rat Z3) X)->False))->((((ord_less_eq_rat Z3) X)->(((ord_less_eq_rat X) Y)->False))->False)))))))
% 1.15/1.32 FOF formula (forall (X:num) (Y:num) (Z3:num), ((((ord_less_eq_num X) Y)->(((ord_less_eq_num Y) Z3)->False))->((((ord_less_eq_num Y) X)->(((ord_less_eq_num X) Z3)->False))->((((ord_less_eq_num X) Z3)->(((ord_less_eq_num Z3) Y)->False))->((((ord_less_eq_num Z3) Y)->(((ord_less_eq_num Y) X)->False))->((((ord_less_eq_num Y) Z3)->(((ord_less_eq_num Z3) X)->False))->((((ord_less_eq_num Z3) X)->(((ord_less_eq_num X) Y)->False))->False))))))) of role axiom named fact_514_le__cases3
% 1.15/1.33 A new axiom: (forall (X:num) (Y:num) (Z3:num), ((((ord_less_eq_num X) Y)->(((ord_less_eq_num Y) Z3)->False))->((((ord_less_eq_num Y) X)->(((ord_less_eq_num X) Z3)->False))->((((ord_less_eq_num X) Z3)->(((ord_less_eq_num Z3) Y)->False))->((((ord_less_eq_num Z3) Y)->(((ord_less_eq_num Y) X)->False))->((((ord_less_eq_num Y) Z3)->(((ord_less_eq_num Z3) X)->False))->((((ord_less_eq_num Z3) X)->(((ord_less_eq_num X) Y)->False))->False)))))))
% 1.15/1.33 FOF formula (forall (X:nat) (Y:nat) (Z3:nat), ((((ord_less_eq_nat X) Y)->(((ord_less_eq_nat Y) Z3)->False))->((((ord_less_eq_nat Y) X)->(((ord_less_eq_nat X) Z3)->False))->((((ord_less_eq_nat X) Z3)->(((ord_less_eq_nat Z3) Y)->False))->((((ord_less_eq_nat Z3) Y)->(((ord_less_eq_nat Y) X)->False))->((((ord_less_eq_nat Y) Z3)->(((ord_less_eq_nat Z3) X)->False))->((((ord_less_eq_nat Z3) X)->(((ord_less_eq_nat X) Y)->False))->False))))))) of role axiom named fact_515_le__cases3
% 1.15/1.33 A new axiom: (forall (X:nat) (Y:nat) (Z3:nat), ((((ord_less_eq_nat X) Y)->(((ord_less_eq_nat Y) Z3)->False))->((((ord_less_eq_nat Y) X)->(((ord_less_eq_nat X) Z3)->False))->((((ord_less_eq_nat X) Z3)->(((ord_less_eq_nat Z3) Y)->False))->((((ord_less_eq_nat Z3) Y)->(((ord_less_eq_nat Y) X)->False))->((((ord_less_eq_nat Y) Z3)->(((ord_less_eq_nat Z3) X)->False))->((((ord_less_eq_nat Z3) X)->(((ord_less_eq_nat X) Y)->False))->False)))))))
% 1.15/1.33 FOF formula (forall (X:int) (Y:int) (Z3:int), ((((ord_less_eq_int X) Y)->(((ord_less_eq_int Y) Z3)->False))->((((ord_less_eq_int Y) X)->(((ord_less_eq_int X) Z3)->False))->((((ord_less_eq_int X) Z3)->(((ord_less_eq_int Z3) Y)->False))->((((ord_less_eq_int Z3) Y)->(((ord_less_eq_int Y) X)->False))->((((ord_less_eq_int Y) Z3)->(((ord_less_eq_int Z3) X)->False))->((((ord_less_eq_int Z3) X)->(((ord_less_eq_int X) Y)->False))->False))))))) of role axiom named fact_516_le__cases3
% 1.15/1.33 A new axiom: (forall (X:int) (Y:int) (Z3:int), ((((ord_less_eq_int X) Y)->(((ord_less_eq_int Y) Z3)->False))->((((ord_less_eq_int Y) X)->(((ord_less_eq_int X) Z3)->False))->((((ord_less_eq_int X) Z3)->(((ord_less_eq_int Z3) Y)->False))->((((ord_less_eq_int Z3) Y)->(((ord_less_eq_int Y) X)->False))->((((ord_less_eq_int Y) Z3)->(((ord_less_eq_int Z3) X)->False))->((((ord_less_eq_int Z3) X)->(((ord_less_eq_int X) Y)->False))->False)))))))
% 1.15/1.33 FOF formula (forall (X:real) (Y:real) (Z3:real), ((((ord_less_eq_real X) Y)->(((ord_less_eq_real Y) Z3)->False))->((((ord_less_eq_real Y) X)->(((ord_less_eq_real X) Z3)->False))->((((ord_less_eq_real X) Z3)->(((ord_less_eq_real Z3) Y)->False))->((((ord_less_eq_real Z3) Y)->(((ord_less_eq_real Y) X)->False))->((((ord_less_eq_real Y) Z3)->(((ord_less_eq_real Z3) X)->False))->((((ord_less_eq_real Z3) X)->(((ord_less_eq_real X) Y)->False))->False))))))) of role axiom named fact_517_le__cases3
% 1.15/1.33 A new axiom: (forall (X:real) (Y:real) (Z3:real), ((((ord_less_eq_real X) Y)->(((ord_less_eq_real Y) Z3)->False))->((((ord_less_eq_real Y) X)->(((ord_less_eq_real X) Z3)->False))->((((ord_less_eq_real X) Z3)->(((ord_less_eq_real Z3) Y)->False))->((((ord_less_eq_real Z3) Y)->(((ord_less_eq_real Y) X)->False))->((((ord_less_eq_real Y) Z3)->(((ord_less_eq_real Z3) X)->False))->((((ord_less_eq_real Z3) X)->(((ord_less_eq_real X) Y)->False))->False)))))))
% 1.15/1.33 FOF formula (forall (A:rat) (B:rat), (((eq Prop) (((ord_less_eq_rat A) B)->False)) ((and ((ord_less_eq_rat B) A)) (not (((eq rat) B) A))))) of role axiom named fact_518_nle__le
% 1.15/1.33 A new axiom: (forall (A:rat) (B:rat), (((eq Prop) (((ord_less_eq_rat A) B)->False)) ((and ((ord_less_eq_rat B) A)) (not (((eq rat) B) A)))))
% 1.15/1.33 FOF formula (forall (A:num) (B:num), (((eq Prop) (((ord_less_eq_num A) B)->False)) ((and ((ord_less_eq_num B) A)) (not (((eq num) B) A))))) of role axiom named fact_519_nle__le
% 1.15/1.33 A new axiom: (forall (A:num) (B:num), (((eq Prop) (((ord_less_eq_num A) B)->False)) ((and ((ord_less_eq_num B) A)) (not (((eq num) B) A)))))
% 1.15/1.34 FOF formula (forall (A:nat) (B:nat), (((eq Prop) (((ord_less_eq_nat A) B)->False)) ((and ((ord_less_eq_nat B) A)) (not (((eq nat) B) A))))) of role axiom named fact_520_nle__le
% 1.15/1.34 A new axiom: (forall (A:nat) (B:nat), (((eq Prop) (((ord_less_eq_nat A) B)->False)) ((and ((ord_less_eq_nat B) A)) (not (((eq nat) B) A)))))
% 1.15/1.34 FOF formula (forall (A:int) (B:int), (((eq Prop) (((ord_less_eq_int A) B)->False)) ((and ((ord_less_eq_int B) A)) (not (((eq int) B) A))))) of role axiom named fact_521_nle__le
% 1.15/1.34 A new axiom: (forall (A:int) (B:int), (((eq Prop) (((ord_less_eq_int A) B)->False)) ((and ((ord_less_eq_int B) A)) (not (((eq int) B) A)))))
% 1.15/1.34 FOF formula (forall (A:real) (B:real), (((eq Prop) (((ord_less_eq_real A) B)->False)) ((and ((ord_less_eq_real B) A)) (not (((eq real) B) A))))) of role axiom named fact_522_nle__le
% 1.15/1.34 A new axiom: (forall (A:real) (B:real), (((eq Prop) (((ord_less_eq_real A) B)->False)) ((and ((ord_less_eq_real B) A)) (not (((eq real) B) A)))))
% 1.15/1.34 FOF formula (forall (A:set_int), ((ord_less_eq_set_int A) A)) of role axiom named fact_523_verit__comp__simplify1_I2_J
% 1.15/1.34 A new axiom: (forall (A:set_int), ((ord_less_eq_set_int A) A))
% 1.15/1.34 FOF formula (forall (A:rat), ((ord_less_eq_rat A) A)) of role axiom named fact_524_verit__comp__simplify1_I2_J
% 1.15/1.34 A new axiom: (forall (A:rat), ((ord_less_eq_rat A) A))
% 1.15/1.34 FOF formula (forall (A:num), ((ord_less_eq_num A) A)) of role axiom named fact_525_verit__comp__simplify1_I2_J
% 1.15/1.34 A new axiom: (forall (A:num), ((ord_less_eq_num A) A))
% 1.15/1.34 FOF formula (forall (A:nat), ((ord_less_eq_nat A) A)) of role axiom named fact_526_verit__comp__simplify1_I2_J
% 1.15/1.34 A new axiom: (forall (A:nat), ((ord_less_eq_nat A) A))
% 1.15/1.34 FOF formula (forall (A:int), ((ord_less_eq_int A) A)) of role axiom named fact_527_verit__comp__simplify1_I2_J
% 1.15/1.34 A new axiom: (forall (A:int), ((ord_less_eq_int A) A))
% 1.15/1.34 FOF formula (forall (A:real), ((ord_less_eq_real A) A)) of role axiom named fact_528_verit__comp__simplify1_I2_J
% 1.15/1.34 A new axiom: (forall (A:real), ((ord_less_eq_real A) A))
% 1.15/1.34 FOF formula (forall (X:real) (Y:real), (((ord_less_real X) Y)->(((ord_less_real Y) X)->False))) of role axiom named fact_529_order__less__imp__not__less
% 1.15/1.34 A new axiom: (forall (X:real) (Y:real), (((ord_less_real X) Y)->(((ord_less_real Y) X)->False)))
% 1.15/1.34 FOF formula (forall (X:rat) (Y:rat), (((ord_less_rat X) Y)->(((ord_less_rat Y) X)->False))) of role axiom named fact_530_order__less__imp__not__less
% 1.15/1.34 A new axiom: (forall (X:rat) (Y:rat), (((ord_less_rat X) Y)->(((ord_less_rat Y) X)->False)))
% 1.15/1.34 FOF formula (forall (X:num) (Y:num), (((ord_less_num X) Y)->(((ord_less_num Y) X)->False))) of role axiom named fact_531_order__less__imp__not__less
% 1.15/1.34 A new axiom: (forall (X:num) (Y:num), (((ord_less_num X) Y)->(((ord_less_num Y) X)->False)))
% 1.15/1.34 FOF formula (forall (X:nat) (Y:nat), (((ord_less_nat X) Y)->(((ord_less_nat Y) X)->False))) of role axiom named fact_532_order__less__imp__not__less
% 1.15/1.34 A new axiom: (forall (X:nat) (Y:nat), (((ord_less_nat X) Y)->(((ord_less_nat Y) X)->False)))
% 1.15/1.34 FOF formula (forall (X:int) (Y:int), (((ord_less_int X) Y)->(((ord_less_int Y) X)->False))) of role axiom named fact_533_order__less__imp__not__less
% 1.15/1.34 A new axiom: (forall (X:int) (Y:int), (((ord_less_int X) Y)->(((ord_less_int Y) X)->False)))
% 1.15/1.34 FOF formula (forall (X:real) (Y:real), (((ord_less_real X) Y)->(not (((eq real) Y) X)))) of role axiom named fact_534_order__less__imp__not__eq2
% 1.15/1.34 A new axiom: (forall (X:real) (Y:real), (((ord_less_real X) Y)->(not (((eq real) Y) X))))
% 1.15/1.34 FOF formula (forall (X:rat) (Y:rat), (((ord_less_rat X) Y)->(not (((eq rat) Y) X)))) of role axiom named fact_535_order__less__imp__not__eq2
% 1.15/1.34 A new axiom: (forall (X:rat) (Y:rat), (((ord_less_rat X) Y)->(not (((eq rat) Y) X))))
% 1.15/1.34 FOF formula (forall (X:num) (Y:num), (((ord_less_num X) Y)->(not (((eq num) Y) X)))) of role axiom named fact_536_order__less__imp__not__eq2
% 1.15/1.34 A new axiom: (forall (X:num) (Y:num), (((ord_less_num X) Y)->(not (((eq num) Y) X))))
% 1.15/1.34 FOF formula (forall (X:nat) (Y:nat), (((ord_less_nat X) Y)->(not (((eq nat) Y) X)))) of role axiom named fact_537_order__less__imp__not__eq2
% 1.15/1.34 A new axiom: (forall (X:nat) (Y:nat), (((ord_less_nat X) Y)->(not (((eq nat) Y) X))))
% 1.15/1.35 FOF formula (forall (X:int) (Y:int), (((ord_less_int X) Y)->(not (((eq int) Y) X)))) of role axiom named fact_538_order__less__imp__not__eq2
% 1.15/1.35 A new axiom: (forall (X:int) (Y:int), (((ord_less_int X) Y)->(not (((eq int) Y) X))))
% 1.15/1.35 FOF formula (forall (X:real) (Y:real), (((ord_less_real X) Y)->(not (((eq real) X) Y)))) of role axiom named fact_539_order__less__imp__not__eq
% 1.15/1.35 A new axiom: (forall (X:real) (Y:real), (((ord_less_real X) Y)->(not (((eq real) X) Y))))
% 1.15/1.35 FOF formula (forall (X:rat) (Y:rat), (((ord_less_rat X) Y)->(not (((eq rat) X) Y)))) of role axiom named fact_540_order__less__imp__not__eq
% 1.15/1.35 A new axiom: (forall (X:rat) (Y:rat), (((ord_less_rat X) Y)->(not (((eq rat) X) Y))))
% 1.15/1.35 FOF formula (forall (X:num) (Y:num), (((ord_less_num X) Y)->(not (((eq num) X) Y)))) of role axiom named fact_541_order__less__imp__not__eq
% 1.15/1.35 A new axiom: (forall (X:num) (Y:num), (((ord_less_num X) Y)->(not (((eq num) X) Y))))
% 1.15/1.35 FOF formula (forall (X:nat) (Y:nat), (((ord_less_nat X) Y)->(not (((eq nat) X) Y)))) of role axiom named fact_542_order__less__imp__not__eq
% 1.15/1.35 A new axiom: (forall (X:nat) (Y:nat), (((ord_less_nat X) Y)->(not (((eq nat) X) Y))))
% 1.15/1.35 FOF formula (forall (X:int) (Y:int), (((ord_less_int X) Y)->(not (((eq int) X) Y)))) of role axiom named fact_543_order__less__imp__not__eq
% 1.15/1.35 A new axiom: (forall (X:int) (Y:int), (((ord_less_int X) Y)->(not (((eq int) X) Y))))
% 1.15/1.35 FOF formula (forall (X:real) (Y:real), ((or ((or ((ord_less_real X) Y)) (((eq real) X) Y))) ((ord_less_real Y) X))) of role axiom named fact_544_linorder__less__linear
% 1.15/1.35 A new axiom: (forall (X:real) (Y:real), ((or ((or ((ord_less_real X) Y)) (((eq real) X) Y))) ((ord_less_real Y) X)))
% 1.15/1.35 FOF formula (forall (X:rat) (Y:rat), ((or ((or ((ord_less_rat X) Y)) (((eq rat) X) Y))) ((ord_less_rat Y) X))) of role axiom named fact_545_linorder__less__linear
% 1.15/1.35 A new axiom: (forall (X:rat) (Y:rat), ((or ((or ((ord_less_rat X) Y)) (((eq rat) X) Y))) ((ord_less_rat Y) X)))
% 1.15/1.35 FOF formula (forall (X:num) (Y:num), ((or ((or ((ord_less_num X) Y)) (((eq num) X) Y))) ((ord_less_num Y) X))) of role axiom named fact_546_linorder__less__linear
% 1.15/1.35 A new axiom: (forall (X:num) (Y:num), ((or ((or ((ord_less_num X) Y)) (((eq num) X) Y))) ((ord_less_num Y) X)))
% 1.15/1.35 FOF formula (forall (X:nat) (Y:nat), ((or ((or ((ord_less_nat X) Y)) (((eq nat) X) Y))) ((ord_less_nat Y) X))) of role axiom named fact_547_linorder__less__linear
% 1.15/1.35 A new axiom: (forall (X:nat) (Y:nat), ((or ((or ((ord_less_nat X) Y)) (((eq nat) X) Y))) ((ord_less_nat Y) X)))
% 1.15/1.35 FOF formula (forall (X:int) (Y:int), ((or ((or ((ord_less_int X) Y)) (((eq int) X) Y))) ((ord_less_int Y) X))) of role axiom named fact_548_linorder__less__linear
% 1.15/1.35 A new axiom: (forall (X:int) (Y:int), ((or ((or ((ord_less_int X) Y)) (((eq int) X) Y))) ((ord_less_int Y) X)))
% 1.15/1.35 FOF formula (forall (X:real) (Y:real) (P:Prop), (((ord_less_real X) Y)->(((ord_less_real Y) X)->P))) of role axiom named fact_549_order__less__imp__triv
% 1.15/1.35 A new axiom: (forall (X:real) (Y:real) (P:Prop), (((ord_less_real X) Y)->(((ord_less_real Y) X)->P)))
% 1.15/1.35 FOF formula (forall (X:rat) (Y:rat) (P:Prop), (((ord_less_rat X) Y)->(((ord_less_rat Y) X)->P))) of role axiom named fact_550_order__less__imp__triv
% 1.15/1.35 A new axiom: (forall (X:rat) (Y:rat) (P:Prop), (((ord_less_rat X) Y)->(((ord_less_rat Y) X)->P)))
% 1.15/1.35 FOF formula (forall (X:num) (Y:num) (P:Prop), (((ord_less_num X) Y)->(((ord_less_num Y) X)->P))) of role axiom named fact_551_order__less__imp__triv
% 1.15/1.35 A new axiom: (forall (X:num) (Y:num) (P:Prop), (((ord_less_num X) Y)->(((ord_less_num Y) X)->P)))
% 1.15/1.35 FOF formula (forall (X:nat) (Y:nat) (P:Prop), (((ord_less_nat X) Y)->(((ord_less_nat Y) X)->P))) of role axiom named fact_552_order__less__imp__triv
% 1.15/1.35 A new axiom: (forall (X:nat) (Y:nat) (P:Prop), (((ord_less_nat X) Y)->(((ord_less_nat Y) X)->P)))
% 1.15/1.35 FOF formula (forall (X:int) (Y:int) (P:Prop), (((ord_less_int X) Y)->(((ord_less_int Y) X)->P))) of role axiom named fact_553_order__less__imp__triv
% 1.15/1.35 A new axiom: (forall (X:int) (Y:int) (P:Prop), (((ord_less_int X) Y)->(((ord_less_int Y) X)->P)))
% 1.15/1.35 FOF formula (forall (X:real) (Y:real), (((ord_less_real X) Y)->(((ord_less_real Y) X)->False))) of role axiom named fact_554_order__less__not__sym
% 1.15/1.37 A new axiom: (forall (X:real) (Y:real), (((ord_less_real X) Y)->(((ord_less_real Y) X)->False)))
% 1.15/1.37 FOF formula (forall (X:rat) (Y:rat), (((ord_less_rat X) Y)->(((ord_less_rat Y) X)->False))) of role axiom named fact_555_order__less__not__sym
% 1.15/1.37 A new axiom: (forall (X:rat) (Y:rat), (((ord_less_rat X) Y)->(((ord_less_rat Y) X)->False)))
% 1.15/1.37 FOF formula (forall (X:num) (Y:num), (((ord_less_num X) Y)->(((ord_less_num Y) X)->False))) of role axiom named fact_556_order__less__not__sym
% 1.15/1.37 A new axiom: (forall (X:num) (Y:num), (((ord_less_num X) Y)->(((ord_less_num Y) X)->False)))
% 1.15/1.37 FOF formula (forall (X:nat) (Y:nat), (((ord_less_nat X) Y)->(((ord_less_nat Y) X)->False))) of role axiom named fact_557_order__less__not__sym
% 1.15/1.37 A new axiom: (forall (X:nat) (Y:nat), (((ord_less_nat X) Y)->(((ord_less_nat Y) X)->False)))
% 1.15/1.37 FOF formula (forall (X:int) (Y:int), (((ord_less_int X) Y)->(((ord_less_int Y) X)->False))) of role axiom named fact_558_order__less__not__sym
% 1.15/1.37 A new axiom: (forall (X:int) (Y:int), (((ord_less_int X) Y)->(((ord_less_int Y) X)->False)))
% 1.15/1.37 FOF formula (forall (A:real) (B:real) (F:(real->real)) (C:real), (((ord_less_real A) B)->(((ord_less_real (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real (F A)) C))))) of role axiom named fact_559_order__less__subst2
% 1.15/1.37 A new axiom: (forall (A:real) (B:real) (F:(real->real)) (C:real), (((ord_less_real A) B)->(((ord_less_real (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real (F A)) C)))))
% 1.15/1.37 FOF formula (forall (A:real) (B:real) (F:(real->rat)) (C:rat), (((ord_less_real A) B)->(((ord_less_rat (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat (F A)) C))))) of role axiom named fact_560_order__less__subst2
% 1.15/1.37 A new axiom: (forall (A:real) (B:real) (F:(real->rat)) (C:rat), (((ord_less_real A) B)->(((ord_less_rat (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat (F A)) C)))))
% 1.15/1.37 FOF formula (forall (A:real) (B:real) (F:(real->num)) (C:num), (((ord_less_real A) B)->(((ord_less_num (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_num (F X3)) (F Y2))))->((ord_less_num (F A)) C))))) of role axiom named fact_561_order__less__subst2
% 1.15/1.37 A new axiom: (forall (A:real) (B:real) (F:(real->num)) (C:num), (((ord_less_real A) B)->(((ord_less_num (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_num (F X3)) (F Y2))))->((ord_less_num (F A)) C)))))
% 1.15/1.37 FOF formula (forall (A:real) (B:real) (F:(real->nat)) (C:nat), (((ord_less_real A) B)->(((ord_less_nat (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_nat (F X3)) (F Y2))))->((ord_less_nat (F A)) C))))) of role axiom named fact_562_order__less__subst2
% 1.15/1.37 A new axiom: (forall (A:real) (B:real) (F:(real->nat)) (C:nat), (((ord_less_real A) B)->(((ord_less_nat (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_nat (F X3)) (F Y2))))->((ord_less_nat (F A)) C)))))
% 1.15/1.37 FOF formula (forall (A:real) (B:real) (F:(real->int)) (C:int), (((ord_less_real A) B)->(((ord_less_int (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_int (F X3)) (F Y2))))->((ord_less_int (F A)) C))))) of role axiom named fact_563_order__less__subst2
% 1.15/1.37 A new axiom: (forall (A:real) (B:real) (F:(real->int)) (C:int), (((ord_less_real A) B)->(((ord_less_int (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_int (F X3)) (F Y2))))->((ord_less_int (F A)) C)))))
% 1.15/1.37 FOF formula (forall (A:rat) (B:rat) (F:(rat->real)) (C:real), (((ord_less_rat A) B)->(((ord_less_real (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real (F A)) C))))) of role axiom named fact_564_order__less__subst2
% 1.15/1.37 A new axiom: (forall (A:rat) (B:rat) (F:(rat->real)) (C:real), (((ord_less_rat A) B)->(((ord_less_real (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real (F A)) C)))))
% 1.22/1.38 FOF formula (forall (A:rat) (B:rat) (F:(rat->rat)) (C:rat), (((ord_less_rat A) B)->(((ord_less_rat (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat (F A)) C))))) of role axiom named fact_565_order__less__subst2
% 1.22/1.38 A new axiom: (forall (A:rat) (B:rat) (F:(rat->rat)) (C:rat), (((ord_less_rat A) B)->(((ord_less_rat (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat (F A)) C)))))
% 1.22/1.38 FOF formula (forall (A:rat) (B:rat) (F:(rat->num)) (C:num), (((ord_less_rat A) B)->(((ord_less_num (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_num (F X3)) (F Y2))))->((ord_less_num (F A)) C))))) of role axiom named fact_566_order__less__subst2
% 1.22/1.38 A new axiom: (forall (A:rat) (B:rat) (F:(rat->num)) (C:num), (((ord_less_rat A) B)->(((ord_less_num (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_num (F X3)) (F Y2))))->((ord_less_num (F A)) C)))))
% 1.22/1.38 FOF formula (forall (A:rat) (B:rat) (F:(rat->nat)) (C:nat), (((ord_less_rat A) B)->(((ord_less_nat (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_nat (F X3)) (F Y2))))->((ord_less_nat (F A)) C))))) of role axiom named fact_567_order__less__subst2
% 1.22/1.38 A new axiom: (forall (A:rat) (B:rat) (F:(rat->nat)) (C:nat), (((ord_less_rat A) B)->(((ord_less_nat (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_nat (F X3)) (F Y2))))->((ord_less_nat (F A)) C)))))
% 1.22/1.38 FOF formula (forall (A:rat) (B:rat) (F:(rat->int)) (C:int), (((ord_less_rat A) B)->(((ord_less_int (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_int (F X3)) (F Y2))))->((ord_less_int (F A)) C))))) of role axiom named fact_568_order__less__subst2
% 1.22/1.38 A new axiom: (forall (A:rat) (B:rat) (F:(rat->int)) (C:int), (((ord_less_rat A) B)->(((ord_less_int (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_int (F X3)) (F Y2))))->((ord_less_int (F A)) C)))))
% 1.22/1.38 FOF formula (forall (A:real) (F:(real->real)) (B:real) (C:real), (((ord_less_real A) (F B))->(((ord_less_real B) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real A) (F C)))))) of role axiom named fact_569_order__less__subst1
% 1.22/1.38 A new axiom: (forall (A:real) (F:(real->real)) (B:real) (C:real), (((ord_less_real A) (F B))->(((ord_less_real B) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real A) (F C))))))
% 1.22/1.38 FOF formula (forall (A:real) (F:(rat->real)) (B:rat) (C:rat), (((ord_less_real A) (F B))->(((ord_less_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real A) (F C)))))) of role axiom named fact_570_order__less__subst1
% 1.22/1.38 A new axiom: (forall (A:real) (F:(rat->real)) (B:rat) (C:rat), (((ord_less_real A) (F B))->(((ord_less_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real A) (F C))))))
% 1.22/1.38 FOF formula (forall (A:real) (F:(num->real)) (B:num) (C:num), (((ord_less_real A) (F B))->(((ord_less_num B) C)->((forall (X3:num) (Y2:num), (((ord_less_num X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real A) (F C)))))) of role axiom named fact_571_order__less__subst1
% 1.22/1.38 A new axiom: (forall (A:real) (F:(num->real)) (B:num) (C:num), (((ord_less_real A) (F B))->(((ord_less_num B) C)->((forall (X3:num) (Y2:num), (((ord_less_num X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real A) (F C))))))
% 1.22/1.38 FOF formula (forall (A:real) (F:(nat->real)) (B:nat) (C:nat), (((ord_less_real A) (F B))->(((ord_less_nat B) C)->((forall (X3:nat) (Y2:nat), (((ord_less_nat X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real A) (F C)))))) of role axiom named fact_572_order__less__subst1
% 1.22/1.38 A new axiom: (forall (A:real) (F:(nat->real)) (B:nat) (C:nat), (((ord_less_real A) (F B))->(((ord_less_nat B) C)->((forall (X3:nat) (Y2:nat), (((ord_less_nat X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real A) (F C))))))
% 1.22/1.40 FOF formula (forall (A:real) (F:(int->real)) (B:int) (C:int), (((ord_less_real A) (F B))->(((ord_less_int B) C)->((forall (X3:int) (Y2:int), (((ord_less_int X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real A) (F C)))))) of role axiom named fact_573_order__less__subst1
% 1.22/1.40 A new axiom: (forall (A:real) (F:(int->real)) (B:int) (C:int), (((ord_less_real A) (F B))->(((ord_less_int B) C)->((forall (X3:int) (Y2:int), (((ord_less_int X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real A) (F C))))))
% 1.22/1.40 FOF formula (forall (A:rat) (F:(real->rat)) (B:real) (C:real), (((ord_less_rat A) (F B))->(((ord_less_real B) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat A) (F C)))))) of role axiom named fact_574_order__less__subst1
% 1.22/1.40 A new axiom: (forall (A:rat) (F:(real->rat)) (B:real) (C:real), (((ord_less_rat A) (F B))->(((ord_less_real B) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat A) (F C))))))
% 1.22/1.40 FOF formula (forall (A:rat) (F:(rat->rat)) (B:rat) (C:rat), (((ord_less_rat A) (F B))->(((ord_less_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat A) (F C)))))) of role axiom named fact_575_order__less__subst1
% 1.22/1.40 A new axiom: (forall (A:rat) (F:(rat->rat)) (B:rat) (C:rat), (((ord_less_rat A) (F B))->(((ord_less_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat A) (F C))))))
% 1.22/1.40 FOF formula (forall (A:rat) (F:(num->rat)) (B:num) (C:num), (((ord_less_rat A) (F B))->(((ord_less_num B) C)->((forall (X3:num) (Y2:num), (((ord_less_num X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat A) (F C)))))) of role axiom named fact_576_order__less__subst1
% 1.22/1.40 A new axiom: (forall (A:rat) (F:(num->rat)) (B:num) (C:num), (((ord_less_rat A) (F B))->(((ord_less_num B) C)->((forall (X3:num) (Y2:num), (((ord_less_num X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat A) (F C))))))
% 1.22/1.40 FOF formula (forall (A:rat) (F:(nat->rat)) (B:nat) (C:nat), (((ord_less_rat A) (F B))->(((ord_less_nat B) C)->((forall (X3:nat) (Y2:nat), (((ord_less_nat X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat A) (F C)))))) of role axiom named fact_577_order__less__subst1
% 1.22/1.40 A new axiom: (forall (A:rat) (F:(nat->rat)) (B:nat) (C:nat), (((ord_less_rat A) (F B))->(((ord_less_nat B) C)->((forall (X3:nat) (Y2:nat), (((ord_less_nat X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat A) (F C))))))
% 1.22/1.40 FOF formula (forall (A:rat) (F:(int->rat)) (B:int) (C:int), (((ord_less_rat A) (F B))->(((ord_less_int B) C)->((forall (X3:int) (Y2:int), (((ord_less_int X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat A) (F C)))))) of role axiom named fact_578_order__less__subst1
% 1.22/1.40 A new axiom: (forall (A:rat) (F:(int->rat)) (B:int) (C:int), (((ord_less_rat A) (F B))->(((ord_less_int B) C)->((forall (X3:int) (Y2:int), (((ord_less_int X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat A) (F C))))))
% 1.22/1.40 FOF formula (forall (X:real), (((ord_less_real X) X)->False)) of role axiom named fact_579_order__less__irrefl
% 1.22/1.40 A new axiom: (forall (X:real), (((ord_less_real X) X)->False))
% 1.22/1.40 FOF formula (forall (X:rat), (((ord_less_rat X) X)->False)) of role axiom named fact_580_order__less__irrefl
% 1.22/1.40 A new axiom: (forall (X:rat), (((ord_less_rat X) X)->False))
% 1.22/1.40 FOF formula (forall (X:num), (((ord_less_num X) X)->False)) of role axiom named fact_581_order__less__irrefl
% 1.22/1.40 A new axiom: (forall (X:num), (((ord_less_num X) X)->False))
% 1.22/1.40 FOF formula (forall (X:nat), (((ord_less_nat X) X)->False)) of role axiom named fact_582_order__less__irrefl
% 1.22/1.40 A new axiom: (forall (X:nat), (((ord_less_nat X) X)->False))
% 1.22/1.40 FOF formula (forall (X:int), (((ord_less_int X) X)->False)) of role axiom named fact_583_order__less__irrefl
% 1.22/1.40 A new axiom: (forall (X:int), (((ord_less_int X) X)->False))
% 1.22/1.40 FOF formula (forall (A:real) (B:real) (F:(real->real)) (C:real), (((ord_less_real A) B)->((((eq real) (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real (F A)) C))))) of role axiom named fact_584_ord__less__eq__subst
% 1.22/1.41 A new axiom: (forall (A:real) (B:real) (F:(real->real)) (C:real), (((ord_less_real A) B)->((((eq real) (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real (F A)) C)))))
% 1.22/1.41 FOF formula (forall (A:real) (B:real) (F:(real->rat)) (C:rat), (((ord_less_real A) B)->((((eq rat) (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat (F A)) C))))) of role axiom named fact_585_ord__less__eq__subst
% 1.22/1.41 A new axiom: (forall (A:real) (B:real) (F:(real->rat)) (C:rat), (((ord_less_real A) B)->((((eq rat) (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat (F A)) C)))))
% 1.22/1.41 FOF formula (forall (A:real) (B:real) (F:(real->num)) (C:num), (((ord_less_real A) B)->((((eq num) (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_num (F X3)) (F Y2))))->((ord_less_num (F A)) C))))) of role axiom named fact_586_ord__less__eq__subst
% 1.22/1.41 A new axiom: (forall (A:real) (B:real) (F:(real->num)) (C:num), (((ord_less_real A) B)->((((eq num) (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_num (F X3)) (F Y2))))->((ord_less_num (F A)) C)))))
% 1.22/1.41 FOF formula (forall (A:real) (B:real) (F:(real->nat)) (C:nat), (((ord_less_real A) B)->((((eq nat) (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_nat (F X3)) (F Y2))))->((ord_less_nat (F A)) C))))) of role axiom named fact_587_ord__less__eq__subst
% 1.22/1.41 A new axiom: (forall (A:real) (B:real) (F:(real->nat)) (C:nat), (((ord_less_real A) B)->((((eq nat) (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_nat (F X3)) (F Y2))))->((ord_less_nat (F A)) C)))))
% 1.22/1.41 FOF formula (forall (A:real) (B:real) (F:(real->int)) (C:int), (((ord_less_real A) B)->((((eq int) (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_int (F X3)) (F Y2))))->((ord_less_int (F A)) C))))) of role axiom named fact_588_ord__less__eq__subst
% 1.22/1.41 A new axiom: (forall (A:real) (B:real) (F:(real->int)) (C:int), (((ord_less_real A) B)->((((eq int) (F B)) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_int (F X3)) (F Y2))))->((ord_less_int (F A)) C)))))
% 1.22/1.41 FOF formula (forall (A:rat) (B:rat) (F:(rat->real)) (C:real), (((ord_less_rat A) B)->((((eq real) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real (F A)) C))))) of role axiom named fact_589_ord__less__eq__subst
% 1.22/1.41 A new axiom: (forall (A:rat) (B:rat) (F:(rat->real)) (C:real), (((ord_less_rat A) B)->((((eq real) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real (F A)) C)))))
% 1.22/1.41 FOF formula (forall (A:rat) (B:rat) (F:(rat->rat)) (C:rat), (((ord_less_rat A) B)->((((eq rat) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat (F A)) C))))) of role axiom named fact_590_ord__less__eq__subst
% 1.22/1.41 A new axiom: (forall (A:rat) (B:rat) (F:(rat->rat)) (C:rat), (((ord_less_rat A) B)->((((eq rat) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat (F A)) C)))))
% 1.22/1.41 FOF formula (forall (A:rat) (B:rat) (F:(rat->num)) (C:num), (((ord_less_rat A) B)->((((eq num) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_num (F X3)) (F Y2))))->((ord_less_num (F A)) C))))) of role axiom named fact_591_ord__less__eq__subst
% 1.22/1.41 A new axiom: (forall (A:rat) (B:rat) (F:(rat->num)) (C:num), (((ord_less_rat A) B)->((((eq num) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_num (F X3)) (F Y2))))->((ord_less_num (F A)) C)))))
% 1.22/1.41 FOF formula (forall (A:rat) (B:rat) (F:(rat->nat)) (C:nat), (((ord_less_rat A) B)->((((eq nat) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_nat (F X3)) (F Y2))))->((ord_less_nat (F A)) C))))) of role axiom named fact_592_ord__less__eq__subst
% 1.22/1.42 A new axiom: (forall (A:rat) (B:rat) (F:(rat->nat)) (C:nat), (((ord_less_rat A) B)->((((eq nat) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_nat (F X3)) (F Y2))))->((ord_less_nat (F A)) C)))))
% 1.22/1.42 FOF formula (forall (A:rat) (B:rat) (F:(rat->int)) (C:int), (((ord_less_rat A) B)->((((eq int) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_int (F X3)) (F Y2))))->((ord_less_int (F A)) C))))) of role axiom named fact_593_ord__less__eq__subst
% 1.22/1.42 A new axiom: (forall (A:rat) (B:rat) (F:(rat->int)) (C:int), (((ord_less_rat A) B)->((((eq int) (F B)) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_int (F X3)) (F Y2))))->((ord_less_int (F A)) C)))))
% 1.22/1.42 FOF formula (forall (A:real) (F:(real->real)) (B:real) (C:real), ((((eq real) A) (F B))->(((ord_less_real B) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real A) (F C)))))) of role axiom named fact_594_ord__eq__less__subst
% 1.22/1.42 A new axiom: (forall (A:real) (F:(real->real)) (B:real) (C:real), ((((eq real) A) (F B))->(((ord_less_real B) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real A) (F C))))))
% 1.22/1.42 FOF formula (forall (A:rat) (F:(real->rat)) (B:real) (C:real), ((((eq rat) A) (F B))->(((ord_less_real B) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat A) (F C)))))) of role axiom named fact_595_ord__eq__less__subst
% 1.22/1.42 A new axiom: (forall (A:rat) (F:(real->rat)) (B:real) (C:real), ((((eq rat) A) (F B))->(((ord_less_real B) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat A) (F C))))))
% 1.22/1.42 FOF formula (forall (A:num) (F:(real->num)) (B:real) (C:real), ((((eq num) A) (F B))->(((ord_less_real B) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_num (F X3)) (F Y2))))->((ord_less_num A) (F C)))))) of role axiom named fact_596_ord__eq__less__subst
% 1.22/1.42 A new axiom: (forall (A:num) (F:(real->num)) (B:real) (C:real), ((((eq num) A) (F B))->(((ord_less_real B) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_num (F X3)) (F Y2))))->((ord_less_num A) (F C))))))
% 1.22/1.42 FOF formula (forall (A:nat) (F:(real->nat)) (B:real) (C:real), ((((eq nat) A) (F B))->(((ord_less_real B) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_nat (F X3)) (F Y2))))->((ord_less_nat A) (F C)))))) of role axiom named fact_597_ord__eq__less__subst
% 1.22/1.42 A new axiom: (forall (A:nat) (F:(real->nat)) (B:real) (C:real), ((((eq nat) A) (F B))->(((ord_less_real B) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_nat (F X3)) (F Y2))))->((ord_less_nat A) (F C))))))
% 1.22/1.42 FOF formula (forall (A:int) (F:(real->int)) (B:real) (C:real), ((((eq int) A) (F B))->(((ord_less_real B) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_int (F X3)) (F Y2))))->((ord_less_int A) (F C)))))) of role axiom named fact_598_ord__eq__less__subst
% 1.22/1.42 A new axiom: (forall (A:int) (F:(real->int)) (B:real) (C:real), ((((eq int) A) (F B))->(((ord_less_real B) C)->((forall (X3:real) (Y2:real), (((ord_less_real X3) Y2)->((ord_less_int (F X3)) (F Y2))))->((ord_less_int A) (F C))))))
% 1.22/1.42 FOF formula (forall (A:real) (F:(rat->real)) (B:rat) (C:rat), ((((eq real) A) (F B))->(((ord_less_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real A) (F C)))))) of role axiom named fact_599_ord__eq__less__subst
% 1.22/1.42 A new axiom: (forall (A:real) (F:(rat->real)) (B:rat) (C:rat), ((((eq real) A) (F B))->(((ord_less_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_real (F X3)) (F Y2))))->((ord_less_real A) (F C))))))
% 1.22/1.42 FOF formula (forall (A:rat) (F:(rat->rat)) (B:rat) (C:rat), ((((eq rat) A) (F B))->(((ord_less_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat A) (F C)))))) of role axiom named fact_600_ord__eq__less__subst
% 1.22/1.44 A new axiom: (forall (A:rat) (F:(rat->rat)) (B:rat) (C:rat), ((((eq rat) A) (F B))->(((ord_less_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_rat (F X3)) (F Y2))))->((ord_less_rat A) (F C))))))
% 1.22/1.44 FOF formula (forall (A:num) (F:(rat->num)) (B:rat) (C:rat), ((((eq num) A) (F B))->(((ord_less_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_num (F X3)) (F Y2))))->((ord_less_num A) (F C)))))) of role axiom named fact_601_ord__eq__less__subst
% 1.22/1.44 A new axiom: (forall (A:num) (F:(rat->num)) (B:rat) (C:rat), ((((eq num) A) (F B))->(((ord_less_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_num (F X3)) (F Y2))))->((ord_less_num A) (F C))))))
% 1.22/1.44 FOF formula (forall (A:nat) (F:(rat->nat)) (B:rat) (C:rat), ((((eq nat) A) (F B))->(((ord_less_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_nat (F X3)) (F Y2))))->((ord_less_nat A) (F C)))))) of role axiom named fact_602_ord__eq__less__subst
% 1.22/1.44 A new axiom: (forall (A:nat) (F:(rat->nat)) (B:rat) (C:rat), ((((eq nat) A) (F B))->(((ord_less_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_nat (F X3)) (F Y2))))->((ord_less_nat A) (F C))))))
% 1.22/1.44 FOF formula (forall (A:int) (F:(rat->int)) (B:rat) (C:rat), ((((eq int) A) (F B))->(((ord_less_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_int (F X3)) (F Y2))))->((ord_less_int A) (F C)))))) of role axiom named fact_603_ord__eq__less__subst
% 1.22/1.44 A new axiom: (forall (A:int) (F:(rat->int)) (B:rat) (C:rat), ((((eq int) A) (F B))->(((ord_less_rat B) C)->((forall (X3:rat) (Y2:rat), (((ord_less_rat X3) Y2)->((ord_less_int (F X3)) (F Y2))))->((ord_less_int A) (F C))))))
% 1.22/1.44 FOF formula (forall (X:real) (Y:real) (Z3:real), (((ord_less_real X) Y)->(((ord_less_real Y) Z3)->((ord_less_real X) Z3)))) of role axiom named fact_604_order__less__trans
% 1.22/1.44 A new axiom: (forall (X:real) (Y:real) (Z3:real), (((ord_less_real X) Y)->(((ord_less_real Y) Z3)->((ord_less_real X) Z3))))
% 1.22/1.44 FOF formula (forall (X:rat) (Y:rat) (Z3:rat), (((ord_less_rat X) Y)->(((ord_less_rat Y) Z3)->((ord_less_rat X) Z3)))) of role axiom named fact_605_order__less__trans
% 1.22/1.44 A new axiom: (forall (X:rat) (Y:rat) (Z3:rat), (((ord_less_rat X) Y)->(((ord_less_rat Y) Z3)->((ord_less_rat X) Z3))))
% 1.22/1.44 FOF formula (forall (X:num) (Y:num) (Z3:num), (((ord_less_num X) Y)->(((ord_less_num Y) Z3)->((ord_less_num X) Z3)))) of role axiom named fact_606_order__less__trans
% 1.22/1.44 A new axiom: (forall (X:num) (Y:num) (Z3:num), (((ord_less_num X) Y)->(((ord_less_num Y) Z3)->((ord_less_num X) Z3))))
% 1.22/1.44 FOF formula (forall (X:nat) (Y:nat) (Z3:nat), (((ord_less_nat X) Y)->(((ord_less_nat Y) Z3)->((ord_less_nat X) Z3)))) of role axiom named fact_607_order__less__trans
% 1.22/1.44 A new axiom: (forall (X:nat) (Y:nat) (Z3:nat), (((ord_less_nat X) Y)->(((ord_less_nat Y) Z3)->((ord_less_nat X) Z3))))
% 1.22/1.44 FOF formula (forall (X:int) (Y:int) (Z3:int), (((ord_less_int X) Y)->(((ord_less_int Y) Z3)->((ord_less_int X) Z3)))) of role axiom named fact_608_order__less__trans
% 1.22/1.44 A new axiom: (forall (X:int) (Y:int) (Z3:int), (((ord_less_int X) Y)->(((ord_less_int Y) Z3)->((ord_less_int X) Z3))))
% 1.22/1.44 FOF formula (forall (A:real) (B:real), (((ord_less_real A) B)->(((ord_less_real B) A)->False))) of role axiom named fact_609_order__less__asym_H
% 1.22/1.44 A new axiom: (forall (A:real) (B:real), (((ord_less_real A) B)->(((ord_less_real B) A)->False)))
% 1.22/1.44 FOF formula (forall (A:rat) (B:rat), (((ord_less_rat A) B)->(((ord_less_rat B) A)->False))) of role axiom named fact_610_order__less__asym_H
% 1.22/1.44 A new axiom: (forall (A:rat) (B:rat), (((ord_less_rat A) B)->(((ord_less_rat B) A)->False)))
% 1.22/1.44 FOF formula (forall (A:num) (B:num), (((ord_less_num A) B)->(((ord_less_num B) A)->False))) of role axiom named fact_611_order__less__asym_H
% 1.22/1.44 A new axiom: (forall (A:num) (B:num), (((ord_less_num A) B)->(((ord_less_num B) A)->False)))
% 1.22/1.44 FOF formula (forall (A:nat) (B:nat), (((ord_less_nat A) B)->(((ord_less_nat B) A)->False))) of role axiom named fact_612_order__less__asym_H
% 1.22/1.44 A new axiom: (forall (A:nat) (B:nat), (((ord_less_nat A) B)->(((ord_less_nat B) A)->False)))
% 1.22/1.45 FOF formula (forall (A:int) (B:int), (((ord_less_int A) B)->(((ord_less_int B) A)->False))) of role axiom named fact_613_order__less__asym_H
% 1.22/1.45 A new axiom: (forall (A:int) (B:int), (((ord_less_int A) B)->(((ord_less_int B) A)->False)))
% 1.22/1.45 FOF formula (forall (X:real) (Y:real), (((eq Prop) (not (((eq real) X) Y))) ((or ((ord_less_real X) Y)) ((ord_less_real Y) X)))) of role axiom named fact_614_linorder__neq__iff
% 1.22/1.45 A new axiom: (forall (X:real) (Y:real), (((eq Prop) (not (((eq real) X) Y))) ((or ((ord_less_real X) Y)) ((ord_less_real Y) X))))
% 1.22/1.45 FOF formula (forall (X:rat) (Y:rat), (((eq Prop) (not (((eq rat) X) Y))) ((or ((ord_less_rat X) Y)) ((ord_less_rat Y) X)))) of role axiom named fact_615_linorder__neq__iff
% 1.22/1.45 A new axiom: (forall (X:rat) (Y:rat), (((eq Prop) (not (((eq rat) X) Y))) ((or ((ord_less_rat X) Y)) ((ord_less_rat Y) X))))
% 1.22/1.45 FOF formula (forall (X:num) (Y:num), (((eq Prop) (not (((eq num) X) Y))) ((or ((ord_less_num X) Y)) ((ord_less_num Y) X)))) of role axiom named fact_616_linorder__neq__iff
% 1.22/1.45 A new axiom: (forall (X:num) (Y:num), (((eq Prop) (not (((eq num) X) Y))) ((or ((ord_less_num X) Y)) ((ord_less_num Y) X))))
% 1.22/1.45 FOF formula (forall (X:nat) (Y:nat), (((eq Prop) (not (((eq nat) X) Y))) ((or ((ord_less_nat X) Y)) ((ord_less_nat Y) X)))) of role axiom named fact_617_linorder__neq__iff
% 1.22/1.45 A new axiom: (forall (X:nat) (Y:nat), (((eq Prop) (not (((eq nat) X) Y))) ((or ((ord_less_nat X) Y)) ((ord_less_nat Y) X))))
% 1.22/1.45 FOF formula (forall (X:int) (Y:int), (((eq Prop) (not (((eq int) X) Y))) ((or ((ord_less_int X) Y)) ((ord_less_int Y) X)))) of role axiom named fact_618_linorder__neq__iff
% 1.22/1.45 A new axiom: (forall (X:int) (Y:int), (((eq Prop) (not (((eq int) X) Y))) ((or ((ord_less_int X) Y)) ((ord_less_int Y) X))))
% 1.22/1.45 FOF formula (forall (X:real) (Y:real), (((ord_less_real X) Y)->(((ord_less_real Y) X)->False))) of role axiom named fact_619_order__less__asym
% 1.22/1.45 A new axiom: (forall (X:real) (Y:real), (((ord_less_real X) Y)->(((ord_less_real Y) X)->False)))
% 1.22/1.45 FOF formula (forall (X:rat) (Y:rat), (((ord_less_rat X) Y)->(((ord_less_rat Y) X)->False))) of role axiom named fact_620_order__less__asym
% 1.22/1.45 A new axiom: (forall (X:rat) (Y:rat), (((ord_less_rat X) Y)->(((ord_less_rat Y) X)->False)))
% 1.22/1.45 FOF formula (forall (X:num) (Y:num), (((ord_less_num X) Y)->(((ord_less_num Y) X)->False))) of role axiom named fact_621_order__less__asym
% 1.22/1.45 A new axiom: (forall (X:num) (Y:num), (((ord_less_num X) Y)->(((ord_less_num Y) X)->False)))
% 1.22/1.45 FOF formula (forall (X:nat) (Y:nat), (((ord_less_nat X) Y)->(((ord_less_nat Y) X)->False))) of role axiom named fact_622_order__less__asym
% 1.22/1.45 A new axiom: (forall (X:nat) (Y:nat), (((ord_less_nat X) Y)->(((ord_less_nat Y) X)->False)))
% 1.22/1.45 FOF formula (forall (X:int) (Y:int), (((ord_less_int X) Y)->(((ord_less_int Y) X)->False))) of role axiom named fact_623_order__less__asym
% 1.22/1.45 A new axiom: (forall (X:int) (Y:int), (((ord_less_int X) Y)->(((ord_less_int Y) X)->False)))
% 1.22/1.45 FOF formula (forall (X:real) (Y:real), ((not (((eq real) X) Y))->((((ord_less_real X) Y)->False)->((ord_less_real Y) X)))) of role axiom named fact_624_linorder__neqE
% 1.22/1.45 A new axiom: (forall (X:real) (Y:real), ((not (((eq real) X) Y))->((((ord_less_real X) Y)->False)->((ord_less_real Y) X))))
% 1.22/1.45 FOF formula (forall (X:rat) (Y:rat), ((not (((eq rat) X) Y))->((((ord_less_rat X) Y)->False)->((ord_less_rat Y) X)))) of role axiom named fact_625_linorder__neqE
% 1.22/1.45 A new axiom: (forall (X:rat) (Y:rat), ((not (((eq rat) X) Y))->((((ord_less_rat X) Y)->False)->((ord_less_rat Y) X))))
% 1.22/1.45 FOF formula (forall (X:num) (Y:num), ((not (((eq num) X) Y))->((((ord_less_num X) Y)->False)->((ord_less_num Y) X)))) of role axiom named fact_626_linorder__neqE
% 1.22/1.45 A new axiom: (forall (X:num) (Y:num), ((not (((eq num) X) Y))->((((ord_less_num X) Y)->False)->((ord_less_num Y) X))))
% 1.22/1.45 FOF formula (forall (X:nat) (Y:nat), ((not (((eq nat) X) Y))->((((ord_less_nat X) Y)->False)->((ord_less_nat Y) X)))) of role axiom named fact_627_linorder__neqE
% 1.22/1.45 A new axiom: (forall (X:nat) (Y:nat), ((not (((eq nat) X) Y))->((((ord_less_nat X) Y)->False)->((ord_less_nat Y) X))))
% 1.22/1.45 FOF formula (forall (X:int) (Y:int), ((not (((eq int) X) Y))->((((ord_less_int X) Y)->False)->((ord_less_int Y) X)))) of role axiom named fact_628_linorder__neqE
% 1.22/1.46 A new axiom: (forall (X:int) (Y:int), ((not (((eq int) X) Y))->((((ord_less_int X) Y)->False)->((ord_less_int Y) X))))
% 1.22/1.46 FOF formula (forall (B:real) (A:real), (((ord_less_real B) A)->(not (((eq real) A) B)))) of role axiom named fact_629_dual__order_Ostrict__implies__not__eq
% 1.22/1.46 A new axiom: (forall (B:real) (A:real), (((ord_less_real B) A)->(not (((eq real) A) B))))
% 1.22/1.46 FOF formula (forall (B:rat) (A:rat), (((ord_less_rat B) A)->(not (((eq rat) A) B)))) of role axiom named fact_630_dual__order_Ostrict__implies__not__eq
% 1.22/1.46 A new axiom: (forall (B:rat) (A:rat), (((ord_less_rat B) A)->(not (((eq rat) A) B))))
% 1.22/1.46 FOF formula (forall (B:num) (A:num), (((ord_less_num B) A)->(not (((eq num) A) B)))) of role axiom named fact_631_dual__order_Ostrict__implies__not__eq
% 1.22/1.46 A new axiom: (forall (B:num) (A:num), (((ord_less_num B) A)->(not (((eq num) A) B))))
% 1.22/1.46 FOF formula (forall (B:nat) (A:nat), (((ord_less_nat B) A)->(not (((eq nat) A) B)))) of role axiom named fact_632_dual__order_Ostrict__implies__not__eq
% 1.22/1.46 A new axiom: (forall (B:nat) (A:nat), (((ord_less_nat B) A)->(not (((eq nat) A) B))))
% 1.22/1.46 FOF formula (forall (B:int) (A:int), (((ord_less_int B) A)->(not (((eq int) A) B)))) of role axiom named fact_633_dual__order_Ostrict__implies__not__eq
% 1.22/1.46 A new axiom: (forall (B:int) (A:int), (((ord_less_int B) A)->(not (((eq int) A) B))))
% 1.22/1.46 FOF formula (forall (A:real) (B:real), (((ord_less_real A) B)->(not (((eq real) A) B)))) of role axiom named fact_634_order_Ostrict__implies__not__eq
% 1.22/1.46 A new axiom: (forall (A:real) (B:real), (((ord_less_real A) B)->(not (((eq real) A) B))))
% 1.22/1.46 FOF formula (forall (A:rat) (B:rat), (((ord_less_rat A) B)->(not (((eq rat) A) B)))) of role axiom named fact_635_order_Ostrict__implies__not__eq
% 1.22/1.46 A new axiom: (forall (A:rat) (B:rat), (((ord_less_rat A) B)->(not (((eq rat) A) B))))
% 1.22/1.46 FOF formula (forall (A:num) (B:num), (((ord_less_num A) B)->(not (((eq num) A) B)))) of role axiom named fact_636_order_Ostrict__implies__not__eq
% 1.22/1.46 A new axiom: (forall (A:num) (B:num), (((ord_less_num A) B)->(not (((eq num) A) B))))
% 1.22/1.46 FOF formula (forall (A:nat) (B:nat), (((ord_less_nat A) B)->(not (((eq nat) A) B)))) of role axiom named fact_637_order_Ostrict__implies__not__eq
% 1.22/1.46 A new axiom: (forall (A:nat) (B:nat), (((ord_less_nat A) B)->(not (((eq nat) A) B))))
% 1.22/1.46 FOF formula (forall (A:int) (B:int), (((ord_less_int A) B)->(not (((eq int) A) B)))) of role axiom named fact_638_order_Ostrict__implies__not__eq
% 1.22/1.46 A new axiom: (forall (A:int) (B:int), (((ord_less_int A) B)->(not (((eq int) A) B))))
% 1.22/1.46 FOF formula (forall (B:real) (A:real) (C:real), (((ord_less_real B) A)->(((ord_less_real C) B)->((ord_less_real C) A)))) of role axiom named fact_639_dual__order_Ostrict__trans
% 1.22/1.46 A new axiom: (forall (B:real) (A:real) (C:real), (((ord_less_real B) A)->(((ord_less_real C) B)->((ord_less_real C) A))))
% 1.22/1.46 FOF formula (forall (B:rat) (A:rat) (C:rat), (((ord_less_rat B) A)->(((ord_less_rat C) B)->((ord_less_rat C) A)))) of role axiom named fact_640_dual__order_Ostrict__trans
% 1.22/1.46 A new axiom: (forall (B:rat) (A:rat) (C:rat), (((ord_less_rat B) A)->(((ord_less_rat C) B)->((ord_less_rat C) A))))
% 1.22/1.46 FOF formula (forall (B:num) (A:num) (C:num), (((ord_less_num B) A)->(((ord_less_num C) B)->((ord_less_num C) A)))) of role axiom named fact_641_dual__order_Ostrict__trans
% 1.22/1.46 A new axiom: (forall (B:num) (A:num) (C:num), (((ord_less_num B) A)->(((ord_less_num C) B)->((ord_less_num C) A))))
% 1.22/1.46 FOF formula (forall (B:nat) (A:nat) (C:nat), (((ord_less_nat B) A)->(((ord_less_nat C) B)->((ord_less_nat C) A)))) of role axiom named fact_642_dual__order_Ostrict__trans
% 1.22/1.46 A new axiom: (forall (B:nat) (A:nat) (C:nat), (((ord_less_nat B) A)->(((ord_less_nat C) B)->((ord_less_nat C) A))))
% 1.22/1.46 FOF formula (forall (B:int) (A:int) (C:int), (((ord_less_int B) A)->(((ord_less_int C) B)->((ord_less_int C) A)))) of role axiom named fact_643_dual__order_Ostrict__trans
% 1.22/1.46 A new axiom: (forall (B:int) (A:int) (C:int), (((ord_less_int B) A)->(((ord_less_int C) B)->((ord_less_int C) A))))
% 1.22/1.46 FOF formula (forall (X:real) (Y:real), (((eq Prop) (((ord_less_real X) Y)->False)) ((or ((ord_less_real Y) X)) (((eq real) X) Y)))) of role axiom named fact_644_not__less__iff__gr__or__eq
% 1.30/1.47 A new axiom: (forall (X:real) (Y:real), (((eq Prop) (((ord_less_real X) Y)->False)) ((or ((ord_less_real Y) X)) (((eq real) X) Y))))
% 1.30/1.47 FOF formula (forall (X:rat) (Y:rat), (((eq Prop) (((ord_less_rat X) Y)->False)) ((or ((ord_less_rat Y) X)) (((eq rat) X) Y)))) of role axiom named fact_645_not__less__iff__gr__or__eq
% 1.30/1.47 A new axiom: (forall (X:rat) (Y:rat), (((eq Prop) (((ord_less_rat X) Y)->False)) ((or ((ord_less_rat Y) X)) (((eq rat) X) Y))))
% 1.30/1.47 FOF formula (forall (X:num) (Y:num), (((eq Prop) (((ord_less_num X) Y)->False)) ((or ((ord_less_num Y) X)) (((eq num) X) Y)))) of role axiom named fact_646_not__less__iff__gr__or__eq
% 1.30/1.47 A new axiom: (forall (X:num) (Y:num), (((eq Prop) (((ord_less_num X) Y)->False)) ((or ((ord_less_num Y) X)) (((eq num) X) Y))))
% 1.30/1.47 FOF formula (forall (X:nat) (Y:nat), (((eq Prop) (((ord_less_nat X) Y)->False)) ((or ((ord_less_nat Y) X)) (((eq nat) X) Y)))) of role axiom named fact_647_not__less__iff__gr__or__eq
% 1.30/1.47 A new axiom: (forall (X:nat) (Y:nat), (((eq Prop) (((ord_less_nat X) Y)->False)) ((or ((ord_less_nat Y) X)) (((eq nat) X) Y))))
% 1.30/1.47 FOF formula (forall (X:int) (Y:int), (((eq Prop) (((ord_less_int X) Y)->False)) ((or ((ord_less_int Y) X)) (((eq int) X) Y)))) of role axiom named fact_648_not__less__iff__gr__or__eq
% 1.30/1.47 A new axiom: (forall (X:int) (Y:int), (((eq Prop) (((ord_less_int X) Y)->False)) ((or ((ord_less_int Y) X)) (((eq int) X) Y))))
% 1.30/1.47 FOF formula (forall (A:real) (B:real) (C:real), (((ord_less_real A) B)->(((ord_less_real B) C)->((ord_less_real A) C)))) of role axiom named fact_649_order_Ostrict__trans
% 1.30/1.47 A new axiom: (forall (A:real) (B:real) (C:real), (((ord_less_real A) B)->(((ord_less_real B) C)->((ord_less_real A) C))))
% 1.30/1.47 FOF formula (forall (A:rat) (B:rat) (C:rat), (((ord_less_rat A) B)->(((ord_less_rat B) C)->((ord_less_rat A) C)))) of role axiom named fact_650_order_Ostrict__trans
% 1.30/1.47 A new axiom: (forall (A:rat) (B:rat) (C:rat), (((ord_less_rat A) B)->(((ord_less_rat B) C)->((ord_less_rat A) C))))
% 1.30/1.47 FOF formula (forall (A:num) (B:num) (C:num), (((ord_less_num A) B)->(((ord_less_num B) C)->((ord_less_num A) C)))) of role axiom named fact_651_order_Ostrict__trans
% 1.30/1.47 A new axiom: (forall (A:num) (B:num) (C:num), (((ord_less_num A) B)->(((ord_less_num B) C)->((ord_less_num A) C))))
% 1.30/1.47 FOF formula (forall (A:nat) (B:nat) (C:nat), (((ord_less_nat A) B)->(((ord_less_nat B) C)->((ord_less_nat A) C)))) of role axiom named fact_652_order_Ostrict__trans
% 1.30/1.47 A new axiom: (forall (A:nat) (B:nat) (C:nat), (((ord_less_nat A) B)->(((ord_less_nat B) C)->((ord_less_nat A) C))))
% 1.30/1.47 FOF formula (forall (A:int) (B:int) (C:int), (((ord_less_int A) B)->(((ord_less_int B) C)->((ord_less_int A) C)))) of role axiom named fact_653_order_Ostrict__trans
% 1.30/1.47 A new axiom: (forall (A:int) (B:int) (C:int), (((ord_less_int A) B)->(((ord_less_int B) C)->((ord_less_int A) C))))
% 1.30/1.47 FOF formula (forall (P:(real->(real->Prop))) (A:real) (B:real), ((forall (A5:real) (B5:real), (((ord_less_real A5) B5)->((P A5) B5)))->((forall (A5:real), ((P A5) A5))->((forall (A5:real) (B5:real), (((P B5) A5)->((P A5) B5)))->((P A) B))))) of role axiom named fact_654_linorder__less__wlog
% 1.30/1.47 A new axiom: (forall (P:(real->(real->Prop))) (A:real) (B:real), ((forall (A5:real) (B5:real), (((ord_less_real A5) B5)->((P A5) B5)))->((forall (A5:real), ((P A5) A5))->((forall (A5:real) (B5:real), (((P B5) A5)->((P A5) B5)))->((P A) B)))))
% 1.30/1.47 FOF formula (forall (P:(rat->(rat->Prop))) (A:rat) (B:rat), ((forall (A5:rat) (B5:rat), (((ord_less_rat A5) B5)->((P A5) B5)))->((forall (A5:rat), ((P A5) A5))->((forall (A5:rat) (B5:rat), (((P B5) A5)->((P A5) B5)))->((P A) B))))) of role axiom named fact_655_linorder__less__wlog
% 1.30/1.47 A new axiom: (forall (P:(rat->(rat->Prop))) (A:rat) (B:rat), ((forall (A5:rat) (B5:rat), (((ord_less_rat A5) B5)->((P A5) B5)))->((forall (A5:rat), ((P A5) A5))->((forall (A5:rat) (B5:rat), (((P B5) A5)->((P A5) B5)))->((P A) B)))))
% 1.30/1.47 FOF formula (forall (P:(num->(num->Prop))) (A:num) (B:num), ((forall (A5:num) (B5:num), (((ord_less_num A5) B5)->((P A5) B5)))->((forall (A5:num), ((P A5) A5))->((forall (A5:num) (B5:num), (((P B5) A5)->((P A5) B5)))->((P A) B))))) of role axiom named fact_656_linorder__less__wlog
% 1.32/1.48 A new axiom: (forall (P:(num->(num->Prop))) (A:num) (B:num), ((forall (A5:num) (B5:num), (((ord_less_num A5) B5)->((P A5) B5)))->((forall (A5:num), ((P A5) A5))->((forall (A5:num) (B5:num), (((P B5) A5)->((P A5) B5)))->((P A) B)))))
% 1.32/1.48 FOF formula (forall (P:(nat->(nat->Prop))) (A:nat) (B:nat), ((forall (A5:nat) (B5:nat), (((ord_less_nat A5) B5)->((P A5) B5)))->((forall (A5:nat), ((P A5) A5))->((forall (A5:nat) (B5:nat), (((P B5) A5)->((P A5) B5)))->((P A) B))))) of role axiom named fact_657_linorder__less__wlog
% 1.32/1.48 A new axiom: (forall (P:(nat->(nat->Prop))) (A:nat) (B:nat), ((forall (A5:nat) (B5:nat), (((ord_less_nat A5) B5)->((P A5) B5)))->((forall (A5:nat), ((P A5) A5))->((forall (A5:nat) (B5:nat), (((P B5) A5)->((P A5) B5)))->((P A) B)))))
% 1.32/1.48 FOF formula (forall (P:(int->(int->Prop))) (A:int) (B:int), ((forall (A5:int) (B5:int), (((ord_less_int A5) B5)->((P A5) B5)))->((forall (A5:int), ((P A5) A5))->((forall (A5:int) (B5:int), (((P B5) A5)->((P A5) B5)))->((P A) B))))) of role axiom named fact_658_linorder__less__wlog
% 1.32/1.48 A new axiom: (forall (P:(int->(int->Prop))) (A:int) (B:int), ((forall (A5:int) (B5:int), (((ord_less_int A5) B5)->((P A5) B5)))->((forall (A5:int), ((P A5) A5))->((forall (A5:int) (B5:int), (((P B5) A5)->((P A5) B5)))->((P A) B)))))
% 1.32/1.48 FOF formula (((eq ((nat->Prop)->Prop)) (fun (P2:(nat->Prop))=> ((ex nat) (fun (X4:nat)=> (P2 X4))))) (fun (P3:(nat->Prop))=> ((ex nat) (fun (N3:nat)=> ((and (P3 N3)) (forall (M3:nat), (((ord_less_nat M3) N3)->((P3 M3)->False)))))))) of role axiom named fact_659_exists__least__iff
% 1.32/1.48 A new axiom: (((eq ((nat->Prop)->Prop)) (fun (P2:(nat->Prop))=> ((ex nat) (fun (X4:nat)=> (P2 X4))))) (fun (P3:(nat->Prop))=> ((ex nat) (fun (N3:nat)=> ((and (P3 N3)) (forall (M3:nat), (((ord_less_nat M3) N3)->((P3 M3)->False))))))))
% 1.32/1.48 FOF formula (forall (A:real), (((ord_less_real A) A)->False)) of role axiom named fact_660_dual__order_Oirrefl
% 1.32/1.48 A new axiom: (forall (A:real), (((ord_less_real A) A)->False))
% 1.32/1.48 FOF formula (forall (A:rat), (((ord_less_rat A) A)->False)) of role axiom named fact_661_dual__order_Oirrefl
% 1.32/1.48 A new axiom: (forall (A:rat), (((ord_less_rat A) A)->False))
% 1.32/1.48 FOF formula (forall (A:num), (((ord_less_num A) A)->False)) of role axiom named fact_662_dual__order_Oirrefl
% 1.32/1.48 A new axiom: (forall (A:num), (((ord_less_num A) A)->False))
% 1.32/1.48 FOF formula (forall (A:nat), (((ord_less_nat A) A)->False)) of role axiom named fact_663_dual__order_Oirrefl
% 1.32/1.48 A new axiom: (forall (A:nat), (((ord_less_nat A) A)->False))
% 1.32/1.48 FOF formula (forall (A:int), (((ord_less_int A) A)->False)) of role axiom named fact_664_dual__order_Oirrefl
% 1.32/1.48 A new axiom: (forall (A:int), (((ord_less_int A) A)->False))
% 1.32/1.48 FOF formula (forall (B:real) (A:real), (((ord_less_real B) A)->(((ord_less_real A) B)->False))) of role axiom named fact_665_dual__order_Oasym
% 1.32/1.48 A new axiom: (forall (B:real) (A:real), (((ord_less_real B) A)->(((ord_less_real A) B)->False)))
% 1.32/1.48 FOF formula (forall (B:rat) (A:rat), (((ord_less_rat B) A)->(((ord_less_rat A) B)->False))) of role axiom named fact_666_dual__order_Oasym
% 1.32/1.48 A new axiom: (forall (B:rat) (A:rat), (((ord_less_rat B) A)->(((ord_less_rat A) B)->False)))
% 1.32/1.48 FOF formula (forall (B:num) (A:num), (((ord_less_num B) A)->(((ord_less_num A) B)->False))) of role axiom named fact_667_dual__order_Oasym
% 1.32/1.48 A new axiom: (forall (B:num) (A:num), (((ord_less_num B) A)->(((ord_less_num A) B)->False)))
% 1.32/1.48 FOF formula (forall (B:nat) (A:nat), (((ord_less_nat B) A)->(((ord_less_nat A) B)->False))) of role axiom named fact_668_dual__order_Oasym
% 1.32/1.48 A new axiom: (forall (B:nat) (A:nat), (((ord_less_nat B) A)->(((ord_less_nat A) B)->False)))
% 1.32/1.48 FOF formula (forall (B:int) (A:int), (((ord_less_int B) A)->(((ord_less_int A) B)->False))) of role axiom named fact_669_dual__order_Oasym
% 1.32/1.48 A new axiom: (forall (B:int) (A:int), (((ord_less_int B) A)->(((ord_less_int A) B)->False)))
% 1.32/1.48 FOF formula (forall (X:real) (Y:real), ((((ord_less_real X) Y)->False)->((not (((eq real) X) Y))->((ord_less_real Y) X)))) of role axiom named fact_670_linorder__cases
% 1.32/1.49 A new axiom: (forall (X:real) (Y:real), ((((ord_less_real X) Y)->False)->((not (((eq real) X) Y))->((ord_less_real Y) X))))
% 1.32/1.49 FOF formula (forall (X:rat) (Y:rat), ((((ord_less_rat X) Y)->False)->((not (((eq rat) X) Y))->((ord_less_rat Y) X)))) of role axiom named fact_671_linorder__cases
% 1.32/1.49 A new axiom: (forall (X:rat) (Y:rat), ((((ord_less_rat X) Y)->False)->((not (((eq rat) X) Y))->((ord_less_rat Y) X))))
% 1.32/1.49 FOF formula (forall (X:num) (Y:num), ((((ord_less_num X) Y)->False)->((not (((eq num) X) Y))->((ord_less_num Y) X)))) of role axiom named fact_672_linorder__cases
% 1.32/1.49 A new axiom: (forall (X:num) (Y:num), ((((ord_less_num X) Y)->False)->((not (((eq num) X) Y))->((ord_less_num Y) X))))
% 1.32/1.49 FOF formula (forall (X:nat) (Y:nat), ((((ord_less_nat X) Y)->False)->((not (((eq nat) X) Y))->((ord_less_nat Y) X)))) of role axiom named fact_673_linorder__cases
% 1.32/1.49 A new axiom: (forall (X:nat) (Y:nat), ((((ord_less_nat X) Y)->False)->((not (((eq nat) X) Y))->((ord_less_nat Y) X))))
% 1.32/1.49 FOF formula (forall (X:int) (Y:int), ((((ord_less_int X) Y)->False)->((not (((eq int) X) Y))->((ord_less_int Y) X)))) of role axiom named fact_674_linorder__cases
% 1.32/1.49 A new axiom: (forall (X:int) (Y:int), ((((ord_less_int X) Y)->False)->((not (((eq int) X) Y))->((ord_less_int Y) X))))
% 1.32/1.49 FOF formula (forall (Y:real) (X:real), ((((ord_less_real Y) X)->False)->(((eq Prop) (((ord_less_real X) Y)->False)) (((eq real) X) Y)))) of role axiom named fact_675_antisym__conv3
% 1.32/1.49 A new axiom: (forall (Y:real) (X:real), ((((ord_less_real Y) X)->False)->(((eq Prop) (((ord_less_real X) Y)->False)) (((eq real) X) Y))))
% 1.32/1.49 FOF formula (forall (Y:rat) (X:rat), ((((ord_less_rat Y) X)->False)->(((eq Prop) (((ord_less_rat X) Y)->False)) (((eq rat) X) Y)))) of role axiom named fact_676_antisym__conv3
% 1.32/1.49 A new axiom: (forall (Y:rat) (X:rat), ((((ord_less_rat Y) X)->False)->(((eq Prop) (((ord_less_rat X) Y)->False)) (((eq rat) X) Y))))
% 1.32/1.49 FOF formula (forall (Y:num) (X:num), ((((ord_less_num Y) X)->False)->(((eq Prop) (((ord_less_num X) Y)->False)) (((eq num) X) Y)))) of role axiom named fact_677_antisym__conv3
% 1.32/1.49 A new axiom: (forall (Y:num) (X:num), ((((ord_less_num Y) X)->False)->(((eq Prop) (((ord_less_num X) Y)->False)) (((eq num) X) Y))))
% 1.32/1.49 FOF formula (forall (Y:nat) (X:nat), ((((ord_less_nat Y) X)->False)->(((eq Prop) (((ord_less_nat X) Y)->False)) (((eq nat) X) Y)))) of role axiom named fact_678_antisym__conv3
% 1.32/1.49 A new axiom: (forall (Y:nat) (X:nat), ((((ord_less_nat Y) X)->False)->(((eq Prop) (((ord_less_nat X) Y)->False)) (((eq nat) X) Y))))
% 1.32/1.49 FOF formula (forall (Y:int) (X:int), ((((ord_less_int Y) X)->False)->(((eq Prop) (((ord_less_int X) Y)->False)) (((eq int) X) Y)))) of role axiom named fact_679_antisym__conv3
% 1.32/1.49 A new axiom: (forall (Y:int) (X:int), ((((ord_less_int Y) X)->False)->(((eq Prop) (((ord_less_int X) Y)->False)) (((eq int) X) Y))))
% 1.32/1.49 FOF formula (forall (P:(nat->Prop)) (A:nat), ((forall (X3:nat), ((forall (Y3:nat), (((ord_less_nat Y3) X3)->(P Y3)))->(P X3)))->(P A))) of role axiom named fact_680_less__induct
% 1.32/1.49 A new axiom: (forall (P:(nat->Prop)) (A:nat), ((forall (X3:nat), ((forall (Y3:nat), (((ord_less_nat Y3) X3)->(P Y3)))->(P X3)))->(P A)))
% 1.32/1.49 FOF formula (forall (A:real) (B:real) (C:real), (((ord_less_real A) B)->((((eq real) B) C)->((ord_less_real A) C)))) of role axiom named fact_681_ord__less__eq__trans
% 1.32/1.49 A new axiom: (forall (A:real) (B:real) (C:real), (((ord_less_real A) B)->((((eq real) B) C)->((ord_less_real A) C))))
% 1.32/1.49 FOF formula (forall (A:rat) (B:rat) (C:rat), (((ord_less_rat A) B)->((((eq rat) B) C)->((ord_less_rat A) C)))) of role axiom named fact_682_ord__less__eq__trans
% 1.32/1.49 A new axiom: (forall (A:rat) (B:rat) (C:rat), (((ord_less_rat A) B)->((((eq rat) B) C)->((ord_less_rat A) C))))
% 1.32/1.49 FOF formula (forall (A:num) (B:num) (C:num), (((ord_less_num A) B)->((((eq num) B) C)->((ord_less_num A) C)))) of role axiom named fact_683_ord__less__eq__trans
% 1.32/1.49 A new axiom: (forall (A:num) (B:num) (C:num), (((ord_less_num A) B)->((((eq num) B) C)->((ord_less_num A) C))))
% 1.32/1.49 FOF formula (forall (A:nat) (B:nat) (C:nat), (((ord_less_nat A) B)->((((eq nat) B) C)->((ord_less_nat A) C)))) of role axiom named fact_684_ord__less__eq__trans
% 1.32/1.51 A new axiom: (forall (A:nat) (B:nat) (C:nat), (((ord_less_nat A) B)->((((eq nat) B) C)->((ord_less_nat A) C))))
% 1.32/1.51 FOF formula (forall (A:int) (B:int) (C:int), (((ord_less_int A) B)->((((eq int) B) C)->((ord_less_int A) C)))) of role axiom named fact_685_ord__less__eq__trans
% 1.32/1.51 A new axiom: (forall (A:int) (B:int) (C:int), (((ord_less_int A) B)->((((eq int) B) C)->((ord_less_int A) C))))
% 1.32/1.51 FOF formula (forall (A:real) (B:real) (C:real), ((((eq real) A) B)->(((ord_less_real B) C)->((ord_less_real A) C)))) of role axiom named fact_686_ord__eq__less__trans
% 1.32/1.51 A new axiom: (forall (A:real) (B:real) (C:real), ((((eq real) A) B)->(((ord_less_real B) C)->((ord_less_real A) C))))
% 1.32/1.51 FOF formula (forall (A:rat) (B:rat) (C:rat), ((((eq rat) A) B)->(((ord_less_rat B) C)->((ord_less_rat A) C)))) of role axiom named fact_687_ord__eq__less__trans
% 1.32/1.51 A new axiom: (forall (A:rat) (B:rat) (C:rat), ((((eq rat) A) B)->(((ord_less_rat B) C)->((ord_less_rat A) C))))
% 1.32/1.51 FOF formula (forall (A:num) (B:num) (C:num), ((((eq num) A) B)->(((ord_less_num B) C)->((ord_less_num A) C)))) of role axiom named fact_688_ord__eq__less__trans
% 1.32/1.51 A new axiom: (forall (A:num) (B:num) (C:num), ((((eq num) A) B)->(((ord_less_num B) C)->((ord_less_num A) C))))
% 1.32/1.51 FOF formula (forall (A:nat) (B:nat) (C:nat), ((((eq nat) A) B)->(((ord_less_nat B) C)->((ord_less_nat A) C)))) of role axiom named fact_689_ord__eq__less__trans
% 1.32/1.51 A new axiom: (forall (A:nat) (B:nat) (C:nat), ((((eq nat) A) B)->(((ord_less_nat B) C)->((ord_less_nat A) C))))
% 1.32/1.51 FOF formula (forall (A:int) (B:int) (C:int), ((((eq int) A) B)->(((ord_less_int B) C)->((ord_less_int A) C)))) of role axiom named fact_690_ord__eq__less__trans
% 1.32/1.51 A new axiom: (forall (A:int) (B:int) (C:int), ((((eq int) A) B)->(((ord_less_int B) C)->((ord_less_int A) C))))
% 1.32/1.51 FOF formula (forall (A:real) (B:real), (((ord_less_real A) B)->(((ord_less_real B) A)->False))) of role axiom named fact_691_order_Oasym
% 1.32/1.51 A new axiom: (forall (A:real) (B:real), (((ord_less_real A) B)->(((ord_less_real B) A)->False)))
% 1.32/1.51 FOF formula (forall (A:rat) (B:rat), (((ord_less_rat A) B)->(((ord_less_rat B) A)->False))) of role axiom named fact_692_order_Oasym
% 1.32/1.51 A new axiom: (forall (A:rat) (B:rat), (((ord_less_rat A) B)->(((ord_less_rat B) A)->False)))
% 1.32/1.51 FOF formula (forall (A:num) (B:num), (((ord_less_num A) B)->(((ord_less_num B) A)->False))) of role axiom named fact_693_order_Oasym
% 1.32/1.51 A new axiom: (forall (A:num) (B:num), (((ord_less_num A) B)->(((ord_less_num B) A)->False)))
% 1.32/1.51 FOF formula (forall (A:nat) (B:nat), (((ord_less_nat A) B)->(((ord_less_nat B) A)->False))) of role axiom named fact_694_order_Oasym
% 1.32/1.51 A new axiom: (forall (A:nat) (B:nat), (((ord_less_nat A) B)->(((ord_less_nat B) A)->False)))
% 1.32/1.51 FOF formula (forall (A:int) (B:int), (((ord_less_int A) B)->(((ord_less_int B) A)->False))) of role axiom named fact_695_order_Oasym
% 1.32/1.51 A new axiom: (forall (A:int) (B:int), (((ord_less_int A) B)->(((ord_less_int B) A)->False)))
% 1.32/1.51 FOF formula (forall (X:real) (Y:real), (((ord_less_real X) Y)->(not (((eq real) X) Y)))) of role axiom named fact_696_less__imp__neq
% 1.32/1.51 A new axiom: (forall (X:real) (Y:real), (((ord_less_real X) Y)->(not (((eq real) X) Y))))
% 1.32/1.51 FOF formula (forall (X:rat) (Y:rat), (((ord_less_rat X) Y)->(not (((eq rat) X) Y)))) of role axiom named fact_697_less__imp__neq
% 1.32/1.51 A new axiom: (forall (X:rat) (Y:rat), (((ord_less_rat X) Y)->(not (((eq rat) X) Y))))
% 1.32/1.51 FOF formula (forall (X:num) (Y:num), (((ord_less_num X) Y)->(not (((eq num) X) Y)))) of role axiom named fact_698_less__imp__neq
% 1.32/1.51 A new axiom: (forall (X:num) (Y:num), (((ord_less_num X) Y)->(not (((eq num) X) Y))))
% 1.32/1.51 FOF formula (forall (X:nat) (Y:nat), (((ord_less_nat X) Y)->(not (((eq nat) X) Y)))) of role axiom named fact_699_less__imp__neq
% 1.32/1.51 A new axiom: (forall (X:nat) (Y:nat), (((ord_less_nat X) Y)->(not (((eq nat) X) Y))))
% 1.32/1.51 FOF formula (forall (X:int) (Y:int), (((ord_less_int X) Y)->(not (((eq int) X) Y)))) of role axiom named fact_700_less__imp__neq
% 1.32/1.51 A new axiom: (forall (X:int) (Y:int), (((ord_less_int X) Y)->(not (((eq int) X) Y))))
% 1.32/1.51 FOF formula (forall (X:real) (Y:real), (((ord_less_real X) Y)->((ex real) (fun (Z:real)=> ((and ((ord_less_real X) Z)) ((ord_less_real Z) Y)))))) of role axiom named fact_701_dense
% 1.35/1.51 A new axiom: (forall (X:real) (Y:real), (((ord_less_real X) Y)->((ex real) (fun (Z:real)=> ((and ((ord_less_real X) Z)) ((ord_less_real Z) Y))))))
% 1.35/1.51 FOF formula (forall (X:rat) (Y:rat), (((ord_less_rat X) Y)->((ex rat) (fun (Z:rat)=> ((and ((ord_less_rat X) Z)) ((ord_less_rat Z) Y)))))) of role axiom named fact_702_dense
% 1.35/1.51 A new axiom: (forall (X:rat) (Y:rat), (((ord_less_rat X) Y)->((ex rat) (fun (Z:rat)=> ((and ((ord_less_rat X) Z)) ((ord_less_rat Z) Y))))))
% 1.35/1.51 FOF formula (forall (X:real), ((ex real) (fun (X_12:real)=> ((ord_less_real X) X_12)))) of role axiom named fact_703_gt__ex
% 1.35/1.51 A new axiom: (forall (X:real), ((ex real) (fun (X_12:real)=> ((ord_less_real X) X_12))))
% 1.35/1.51 FOF formula (forall (X:rat), ((ex rat) (fun (X_12:rat)=> ((ord_less_rat X) X_12)))) of role axiom named fact_704_gt__ex
% 1.35/1.51 A new axiom: (forall (X:rat), ((ex rat) (fun (X_12:rat)=> ((ord_less_rat X) X_12))))
% 1.35/1.51 FOF formula (forall (X:nat), ((ex nat) (fun (X_12:nat)=> ((ord_less_nat X) X_12)))) of role axiom named fact_705_gt__ex
% 1.35/1.51 A new axiom: (forall (X:nat), ((ex nat) (fun (X_12:nat)=> ((ord_less_nat X) X_12))))
% 1.35/1.51 FOF formula (forall (X:int), ((ex int) (fun (X_12:int)=> ((ord_less_int X) X_12)))) of role axiom named fact_706_gt__ex
% 1.35/1.51 A new axiom: (forall (X:int), ((ex int) (fun (X_12:int)=> ((ord_less_int X) X_12))))
% 1.35/1.51 FOF formula (forall (X:real), ((ex real) (fun (Y2:real)=> ((ord_less_real Y2) X)))) of role axiom named fact_707_lt__ex
% 1.35/1.51 A new axiom: (forall (X:real), ((ex real) (fun (Y2:real)=> ((ord_less_real Y2) X))))
% 1.35/1.51 FOF formula (forall (X:rat), ((ex rat) (fun (Y2:rat)=> ((ord_less_rat Y2) X)))) of role axiom named fact_708_lt__ex
% 1.35/1.51 A new axiom: (forall (X:rat), ((ex rat) (fun (Y2:rat)=> ((ord_less_rat Y2) X))))
% 1.35/1.51 FOF formula (forall (X:int), ((ex int) (fun (Y2:int)=> ((ord_less_int Y2) X)))) of role axiom named fact_709_lt__ex
% 1.35/1.51 A new axiom: (forall (X:int), ((ex int) (fun (Y2:int)=> ((ord_less_int Y2) X))))
% 1.35/1.51 FOF formula (forall (A:real), (((ord_less_real A) A)->False)) of role axiom named fact_710_verit__comp__simplify1_I1_J
% 1.35/1.51 A new axiom: (forall (A:real), (((ord_less_real A) A)->False))
% 1.35/1.51 FOF formula (forall (A:rat), (((ord_less_rat A) A)->False)) of role axiom named fact_711_verit__comp__simplify1_I1_J
% 1.35/1.51 A new axiom: (forall (A:rat), (((ord_less_rat A) A)->False))
% 1.35/1.51 FOF formula (forall (A:num), (((ord_less_num A) A)->False)) of role axiom named fact_712_verit__comp__simplify1_I1_J
% 1.35/1.51 A new axiom: (forall (A:num), (((ord_less_num A) A)->False))
% 1.35/1.51 FOF formula (forall (A:nat), (((ord_less_nat A) A)->False)) of role axiom named fact_713_verit__comp__simplify1_I1_J
% 1.35/1.51 A new axiom: (forall (A:nat), (((ord_less_nat A) A)->False))
% 1.35/1.51 FOF formula (forall (A:int), (((ord_less_int A) A)->False)) of role axiom named fact_714_verit__comp__simplify1_I1_J
% 1.35/1.51 A new axiom: (forall (A:int), (((ord_less_int A) A)->False))
% 1.35/1.51 FOF formula (forall (A2:set_nat) (B2:set_nat) (B:nat), (((ord_less_eq_set_nat A2) B2)->((ord_less_eq_set_nat A2) ((insert_nat B) B2)))) of role axiom named fact_715_subset__insertI2
% 1.35/1.51 A new axiom: (forall (A2:set_nat) (B2:set_nat) (B:nat), (((ord_less_eq_set_nat A2) B2)->((ord_less_eq_set_nat A2) ((insert_nat B) B2))))
% 1.35/1.51 FOF formula (forall (A2:set_VEBT_VEBT) (B2:set_VEBT_VEBT) (B:vEBT_VEBT), (((ord_le4337996190870823476T_VEBT A2) B2)->((ord_le4337996190870823476T_VEBT A2) ((insert_VEBT_VEBT B) B2)))) of role axiom named fact_716_subset__insertI2
% 1.35/1.51 A new axiom: (forall (A2:set_VEBT_VEBT) (B2:set_VEBT_VEBT) (B:vEBT_VEBT), (((ord_le4337996190870823476T_VEBT A2) B2)->((ord_le4337996190870823476T_VEBT A2) ((insert_VEBT_VEBT B) B2))))
% 1.35/1.51 FOF formula (forall (A2:set_real) (B2:set_real) (B:real), (((ord_less_eq_set_real A2) B2)->((ord_less_eq_set_real A2) ((insert_real B) B2)))) of role axiom named fact_717_subset__insertI2
% 1.35/1.51 A new axiom: (forall (A2:set_real) (B2:set_real) (B:real), (((ord_less_eq_set_real A2) B2)->((ord_less_eq_set_real A2) ((insert_real B) B2))))
% 1.35/1.51 FOF formula (forall (A2:set_o) (B2:set_o) (B:Prop), (((ord_less_eq_set_o A2) B2)->((ord_less_eq_set_o A2) ((insert_o B) B2)))) of role axiom named fact_718_subset__insertI2
% 1.35/1.52 A new axiom: (forall (A2:set_o) (B2:set_o) (B:Prop), (((ord_less_eq_set_o A2) B2)->((ord_less_eq_set_o A2) ((insert_o B) B2))))
% 1.35/1.52 FOF formula (forall (A2:set_int) (B2:set_int) (B:int), (((ord_less_eq_set_int A2) B2)->((ord_less_eq_set_int A2) ((insert_int B) B2)))) of role axiom named fact_719_subset__insertI2
% 1.35/1.52 A new axiom: (forall (A2:set_int) (B2:set_int) (B:int), (((ord_less_eq_set_int A2) B2)->((ord_less_eq_set_int A2) ((insert_int B) B2))))
% 1.35/1.52 FOF formula (forall (B2:set_nat) (A:nat), ((ord_less_eq_set_nat B2) ((insert_nat A) B2))) of role axiom named fact_720_subset__insertI
% 1.35/1.52 A new axiom: (forall (B2:set_nat) (A:nat), ((ord_less_eq_set_nat B2) ((insert_nat A) B2)))
% 1.35/1.52 FOF formula (forall (B2:set_VEBT_VEBT) (A:vEBT_VEBT), ((ord_le4337996190870823476T_VEBT B2) ((insert_VEBT_VEBT A) B2))) of role axiom named fact_721_subset__insertI
% 1.35/1.52 A new axiom: (forall (B2:set_VEBT_VEBT) (A:vEBT_VEBT), ((ord_le4337996190870823476T_VEBT B2) ((insert_VEBT_VEBT A) B2)))
% 1.35/1.52 FOF formula (forall (B2:set_real) (A:real), ((ord_less_eq_set_real B2) ((insert_real A) B2))) of role axiom named fact_722_subset__insertI
% 1.35/1.52 A new axiom: (forall (B2:set_real) (A:real), ((ord_less_eq_set_real B2) ((insert_real A) B2)))
% 1.35/1.52 FOF formula (forall (B2:set_o) (A:Prop), ((ord_less_eq_set_o B2) ((insert_o A) B2))) of role axiom named fact_723_subset__insertI
% 1.35/1.52 A new axiom: (forall (B2:set_o) (A:Prop), ((ord_less_eq_set_o B2) ((insert_o A) B2)))
% 1.35/1.52 FOF formula (forall (B2:set_int) (A:int), ((ord_less_eq_set_int B2) ((insert_int A) B2))) of role axiom named fact_724_subset__insertI
% 1.35/1.52 A new axiom: (forall (B2:set_int) (A:int), ((ord_less_eq_set_int B2) ((insert_int A) B2)))
% 1.35/1.52 FOF formula (forall (X:vEBT_VEBT) (A2:set_VEBT_VEBT) (B2:set_VEBT_VEBT), ((((member_VEBT_VEBT X) A2)->False)->(((eq Prop) ((ord_le4337996190870823476T_VEBT A2) ((insert_VEBT_VEBT X) B2))) ((ord_le4337996190870823476T_VEBT A2) B2)))) of role axiom named fact_725_subset__insert
% 1.35/1.52 A new axiom: (forall (X:vEBT_VEBT) (A2:set_VEBT_VEBT) (B2:set_VEBT_VEBT), ((((member_VEBT_VEBT X) A2)->False)->(((eq Prop) ((ord_le4337996190870823476T_VEBT A2) ((insert_VEBT_VEBT X) B2))) ((ord_le4337996190870823476T_VEBT A2) B2))))
% 1.35/1.52 FOF formula (forall (X:Prop) (A2:set_o) (B2:set_o), ((((member_o X) A2)->False)->(((eq Prop) ((ord_less_eq_set_o A2) ((insert_o X) B2))) ((ord_less_eq_set_o A2) B2)))) of role axiom named fact_726_subset__insert
% 1.35/1.52 A new axiom: (forall (X:Prop) (A2:set_o) (B2:set_o), ((((member_o X) A2)->False)->(((eq Prop) ((ord_less_eq_set_o A2) ((insert_o X) B2))) ((ord_less_eq_set_o A2) B2))))
% 1.35/1.52 FOF formula (forall (X:complex) (A2:set_complex) (B2:set_complex), ((((member_complex X) A2)->False)->(((eq Prop) ((ord_le211207098394363844omplex A2) ((insert_complex X) B2))) ((ord_le211207098394363844omplex A2) B2)))) of role axiom named fact_727_subset__insert
% 1.35/1.52 A new axiom: (forall (X:complex) (A2:set_complex) (B2:set_complex), ((((member_complex X) A2)->False)->(((eq Prop) ((ord_le211207098394363844omplex A2) ((insert_complex X) B2))) ((ord_le211207098394363844omplex A2) B2))))
% 1.35/1.52 FOF formula (forall (X:real) (A2:set_real) (B2:set_real), ((((member_real X) A2)->False)->(((eq Prop) ((ord_less_eq_set_real A2) ((insert_real X) B2))) ((ord_less_eq_set_real A2) B2)))) of role axiom named fact_728_subset__insert
% 1.35/1.52 A new axiom: (forall (X:real) (A2:set_real) (B2:set_real), ((((member_real X) A2)->False)->(((eq Prop) ((ord_less_eq_set_real A2) ((insert_real X) B2))) ((ord_less_eq_set_real A2) B2))))
% 1.35/1.52 FOF formula (forall (X:set_nat) (A2:set_set_nat) (B2:set_set_nat), ((((member_set_nat X) A2)->False)->(((eq Prop) ((ord_le6893508408891458716et_nat A2) ((insert_set_nat X) B2))) ((ord_le6893508408891458716et_nat A2) B2)))) of role axiom named fact_729_subset__insert
% 1.35/1.52 A new axiom: (forall (X:set_nat) (A2:set_set_nat) (B2:set_set_nat), ((((member_set_nat X) A2)->False)->(((eq Prop) ((ord_le6893508408891458716et_nat A2) ((insert_set_nat X) B2))) ((ord_le6893508408891458716et_nat A2) B2))))
% 1.35/1.52 FOF formula (forall (X:nat) (A2:set_nat) (B2:set_nat), ((((member_nat X) A2)->False)->(((eq Prop) ((ord_less_eq_set_nat A2) ((insert_nat X) B2))) ((ord_less_eq_set_nat A2) B2)))) of role axiom named fact_730_subset__insert
% 1.37/1.53 A new axiom: (forall (X:nat) (A2:set_nat) (B2:set_nat), ((((member_nat X) A2)->False)->(((eq Prop) ((ord_less_eq_set_nat A2) ((insert_nat X) B2))) ((ord_less_eq_set_nat A2) B2))))
% 1.37/1.53 FOF formula (forall (X:int) (A2:set_int) (B2:set_int), ((((member_int X) A2)->False)->(((eq Prop) ((ord_less_eq_set_int A2) ((insert_int X) B2))) ((ord_less_eq_set_int A2) B2)))) of role axiom named fact_731_subset__insert
% 1.37/1.53 A new axiom: (forall (X:int) (A2:set_int) (B2:set_int), ((((member_int X) A2)->False)->(((eq Prop) ((ord_less_eq_set_int A2) ((insert_int X) B2))) ((ord_less_eq_set_int A2) B2))))
% 1.37/1.53 FOF formula (forall (C2:set_nat) (D:set_nat) (A:nat), (((ord_less_eq_set_nat C2) D)->((ord_less_eq_set_nat ((insert_nat A) C2)) ((insert_nat A) D)))) of role axiom named fact_732_insert__mono
% 1.37/1.53 A new axiom: (forall (C2:set_nat) (D:set_nat) (A:nat), (((ord_less_eq_set_nat C2) D)->((ord_less_eq_set_nat ((insert_nat A) C2)) ((insert_nat A) D))))
% 1.37/1.53 FOF formula (forall (C2:set_VEBT_VEBT) (D:set_VEBT_VEBT) (A:vEBT_VEBT), (((ord_le4337996190870823476T_VEBT C2) D)->((ord_le4337996190870823476T_VEBT ((insert_VEBT_VEBT A) C2)) ((insert_VEBT_VEBT A) D)))) of role axiom named fact_733_insert__mono
% 1.37/1.53 A new axiom: (forall (C2:set_VEBT_VEBT) (D:set_VEBT_VEBT) (A:vEBT_VEBT), (((ord_le4337996190870823476T_VEBT C2) D)->((ord_le4337996190870823476T_VEBT ((insert_VEBT_VEBT A) C2)) ((insert_VEBT_VEBT A) D))))
% 1.37/1.53 FOF formula (forall (C2:set_real) (D:set_real) (A:real), (((ord_less_eq_set_real C2) D)->((ord_less_eq_set_real ((insert_real A) C2)) ((insert_real A) D)))) of role axiom named fact_734_insert__mono
% 1.37/1.53 A new axiom: (forall (C2:set_real) (D:set_real) (A:real), (((ord_less_eq_set_real C2) D)->((ord_less_eq_set_real ((insert_real A) C2)) ((insert_real A) D))))
% 1.37/1.53 FOF formula (forall (C2:set_o) (D:set_o) (A:Prop), (((ord_less_eq_set_o C2) D)->((ord_less_eq_set_o ((insert_o A) C2)) ((insert_o A) D)))) of role axiom named fact_735_insert__mono
% 1.37/1.53 A new axiom: (forall (C2:set_o) (D:set_o) (A:Prop), (((ord_less_eq_set_o C2) D)->((ord_less_eq_set_o ((insert_o A) C2)) ((insert_o A) D))))
% 1.37/1.53 FOF formula (forall (C2:set_int) (D:set_int) (A:int), (((ord_less_eq_set_int C2) D)->((ord_less_eq_set_int ((insert_int A) C2)) ((insert_int A) D)))) of role axiom named fact_736_insert__mono
% 1.37/1.53 A new axiom: (forall (C2:set_int) (D:set_int) (A:int), (((ord_less_eq_set_int C2) D)->((ord_less_eq_set_int ((insert_int A) C2)) ((insert_int A) D))))
% 1.37/1.53 FOF formula (forall (A:vEBT_VEBT) (A2:set_VEBT_VEBT), (((member_VEBT_VEBT A) A2)->((ex set_VEBT_VEBT) (fun (B6:set_VEBT_VEBT)=> ((and (((eq set_VEBT_VEBT) A2) ((insert_VEBT_VEBT A) B6))) (((member_VEBT_VEBT A) B6)->False)))))) of role axiom named fact_737_mk__disjoint__insert
% 1.37/1.53 A new axiom: (forall (A:vEBT_VEBT) (A2:set_VEBT_VEBT), (((member_VEBT_VEBT A) A2)->((ex set_VEBT_VEBT) (fun (B6:set_VEBT_VEBT)=> ((and (((eq set_VEBT_VEBT) A2) ((insert_VEBT_VEBT A) B6))) (((member_VEBT_VEBT A) B6)->False))))))
% 1.37/1.53 FOF formula (forall (A:Prop) (A2:set_o), (((member_o A) A2)->((ex set_o) (fun (B6:set_o)=> ((and (((eq set_o) A2) ((insert_o A) B6))) (((member_o A) B6)->False)))))) of role axiom named fact_738_mk__disjoint__insert
% 1.37/1.53 A new axiom: (forall (A:Prop) (A2:set_o), (((member_o A) A2)->((ex set_o) (fun (B6:set_o)=> ((and (((eq set_o) A2) ((insert_o A) B6))) (((member_o A) B6)->False))))))
% 1.37/1.53 FOF formula (forall (A:complex) (A2:set_complex), (((member_complex A) A2)->((ex set_complex) (fun (B6:set_complex)=> ((and (((eq set_complex) A2) ((insert_complex A) B6))) (((member_complex A) B6)->False)))))) of role axiom named fact_739_mk__disjoint__insert
% 1.37/1.53 A new axiom: (forall (A:complex) (A2:set_complex), (((member_complex A) A2)->((ex set_complex) (fun (B6:set_complex)=> ((and (((eq set_complex) A2) ((insert_complex A) B6))) (((member_complex A) B6)->False))))))
% 1.37/1.53 FOF formula (forall (A:real) (A2:set_real), (((member_real A) A2)->((ex set_real) (fun (B6:set_real)=> ((and (((eq set_real) A2) ((insert_real A) B6))) (((member_real A) B6)->False)))))) of role axiom named fact_740_mk__disjoint__insert
% 1.37/1.54 A new axiom: (forall (A:real) (A2:set_real), (((member_real A) A2)->((ex set_real) (fun (B6:set_real)=> ((and (((eq set_real) A2) ((insert_real A) B6))) (((member_real A) B6)->False))))))
% 1.37/1.54 FOF formula (forall (A:set_nat) (A2:set_set_nat), (((member_set_nat A) A2)->((ex set_set_nat) (fun (B6:set_set_nat)=> ((and (((eq set_set_nat) A2) ((insert_set_nat A) B6))) (((member_set_nat A) B6)->False)))))) of role axiom named fact_741_mk__disjoint__insert
% 1.37/1.54 A new axiom: (forall (A:set_nat) (A2:set_set_nat), (((member_set_nat A) A2)->((ex set_set_nat) (fun (B6:set_set_nat)=> ((and (((eq set_set_nat) A2) ((insert_set_nat A) B6))) (((member_set_nat A) B6)->False))))))
% 1.37/1.54 FOF formula (forall (A:nat) (A2:set_nat), (((member_nat A) A2)->((ex set_nat) (fun (B6:set_nat)=> ((and (((eq set_nat) A2) ((insert_nat A) B6))) (((member_nat A) B6)->False)))))) of role axiom named fact_742_mk__disjoint__insert
% 1.37/1.54 A new axiom: (forall (A:nat) (A2:set_nat), (((member_nat A) A2)->((ex set_nat) (fun (B6:set_nat)=> ((and (((eq set_nat) A2) ((insert_nat A) B6))) (((member_nat A) B6)->False))))))
% 1.37/1.54 FOF formula (forall (A:int) (A2:set_int), (((member_int A) A2)->((ex set_int) (fun (B6:set_int)=> ((and (((eq set_int) A2) ((insert_int A) B6))) (((member_int A) B6)->False)))))) of role axiom named fact_743_mk__disjoint__insert
% 1.37/1.54 A new axiom: (forall (A:int) (A2:set_int), (((member_int A) A2)->((ex set_int) (fun (B6:set_int)=> ((and (((eq set_int) A2) ((insert_int A) B6))) (((member_int A) B6)->False))))))
% 1.37/1.54 FOF formula (forall (X:nat) (Y:nat) (A2:set_nat), (((eq set_nat) ((insert_nat X) ((insert_nat Y) A2))) ((insert_nat Y) ((insert_nat X) A2)))) of role axiom named fact_744_insert__commute
% 1.37/1.54 A new axiom: (forall (X:nat) (Y:nat) (A2:set_nat), (((eq set_nat) ((insert_nat X) ((insert_nat Y) A2))) ((insert_nat Y) ((insert_nat X) A2))))
% 1.37/1.54 FOF formula (forall (X:int) (Y:int) (A2:set_int), (((eq set_int) ((insert_int X) ((insert_int Y) A2))) ((insert_int Y) ((insert_int X) A2)))) of role axiom named fact_745_insert__commute
% 1.37/1.54 A new axiom: (forall (X:int) (Y:int) (A2:set_int), (((eq set_int) ((insert_int X) ((insert_int Y) A2))) ((insert_int Y) ((insert_int X) A2))))
% 1.37/1.54 FOF formula (forall (X:vEBT_VEBT) (Y:vEBT_VEBT) (A2:set_VEBT_VEBT), (((eq set_VEBT_VEBT) ((insert_VEBT_VEBT X) ((insert_VEBT_VEBT Y) A2))) ((insert_VEBT_VEBT Y) ((insert_VEBT_VEBT X) A2)))) of role axiom named fact_746_insert__commute
% 1.37/1.54 A new axiom: (forall (X:vEBT_VEBT) (Y:vEBT_VEBT) (A2:set_VEBT_VEBT), (((eq set_VEBT_VEBT) ((insert_VEBT_VEBT X) ((insert_VEBT_VEBT Y) A2))) ((insert_VEBT_VEBT Y) ((insert_VEBT_VEBT X) A2))))
% 1.37/1.54 FOF formula (forall (X:real) (Y:real) (A2:set_real), (((eq set_real) ((insert_real X) ((insert_real Y) A2))) ((insert_real Y) ((insert_real X) A2)))) of role axiom named fact_747_insert__commute
% 1.37/1.54 A new axiom: (forall (X:real) (Y:real) (A2:set_real), (((eq set_real) ((insert_real X) ((insert_real Y) A2))) ((insert_real Y) ((insert_real X) A2))))
% 1.37/1.54 FOF formula (forall (X:Prop) (Y:Prop) (A2:set_o), (((eq set_o) ((insert_o X) ((insert_o Y) A2))) ((insert_o Y) ((insert_o X) A2)))) of role axiom named fact_748_insert__commute
% 1.37/1.54 A new axiom: (forall (X:Prop) (Y:Prop) (A2:set_o), (((eq set_o) ((insert_o X) ((insert_o Y) A2))) ((insert_o Y) ((insert_o X) A2))))
% 1.37/1.54 FOF formula (forall (A:vEBT_VEBT) (A2:set_VEBT_VEBT) (B:vEBT_VEBT) (B2:set_VEBT_VEBT), ((((member_VEBT_VEBT A) A2)->False)->((((member_VEBT_VEBT B) B2)->False)->(((eq Prop) (((eq set_VEBT_VEBT) ((insert_VEBT_VEBT A) A2)) ((insert_VEBT_VEBT B) B2))) ((and ((((eq vEBT_VEBT) A) B)->(((eq set_VEBT_VEBT) A2) B2))) ((not (((eq vEBT_VEBT) A) B))->((ex set_VEBT_VEBT) (fun (C3:set_VEBT_VEBT)=> ((and ((and ((and (((eq set_VEBT_VEBT) A2) ((insert_VEBT_VEBT B) C3))) (((member_VEBT_VEBT B) C3)->False))) (((eq set_VEBT_VEBT) B2) ((insert_VEBT_VEBT A) C3)))) (((member_VEBT_VEBT A) C3)->False)))))))))) of role axiom named fact_749_insert__eq__iff
% 1.37/1.54 A new axiom: (forall (A:vEBT_VEBT) (A2:set_VEBT_VEBT) (B:vEBT_VEBT) (B2:set_VEBT_VEBT), ((((member_VEBT_VEBT A) A2)->False)->((((member_VEBT_VEBT B) B2)->False)->(((eq Prop) (((eq set_VEBT_VEBT) ((insert_VEBT_VEBT A) A2)) ((insert_VEBT_VEBT B) B2))) ((and ((((eq vEBT_VEBT) A) B)->(((eq set_VEBT_VEBT) A2) B2))) ((not (((eq vEBT_VEBT) A) B))->((ex set_VEBT_VEBT) (fun (C3:set_VEBT_VEBT)=> ((and ((and ((and (((eq set_VEBT_VEBT) A2) ((insert_VEBT_VEBT B) C3))) (((member_VEBT_VEBT B) C3)->False))) (((eq set_VEBT_VEBT) B2) ((insert_VEBT_VEBT A) C3)))) (((member_VEBT_VEBT A) C3)->False))))))))))
% 1.37/1.54 <<< = ( ( ( A = B )
% 1.37/1.54 => ( A2 = B2 ) )
% 1.37/1.54 & ( ( A
% 1.37/1.54 = ( ~ B>>>!!!<<< ) )
% 1.37/1.54 => ? [C3: set_o] :
% 1.37/1.54 ( ( A2
% 1.37/1.54 = ( inse>>>
% 1.37/1.54 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, 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TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,273980), LexToken(LPAR,'(',1,273983), name, LexToken(COMMA,',',1,274008), formula_role, LexToken(COMMA,',',1,274014), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,274022), thf_variable_list, LexToken(RBRACKET,']',1,274054), LexToken(COLON,':',1,274056), LexToken(LPAR,'(',1,274064), thf_unitary_formula, thf_pair_connective, LexToken(LPAR,'(',1,274098), thf_unitary_formula, thf_pair_connective, LexToken(LPAR,'(',1,274134), thf_unitary_formula, thf_pair_connective, LexToken(LPAR,'(',1,274210), thf_unitary_formula, LexToken(AMP,'&',1,274266), LexToken(LPAR,'(',1,274268), LexToken(LPAR,'(',1,274270), thf_unitary_formula, thf_pair_connective, LexToken(LPAR,'(',1,274292), unary_connective]
% 1.37/1.55 Unexpected exception Syntax error at 'B':UPPERWORD
% 1.37/1.55 Traceback (most recent call last):
% 1.37/1.55 File "CASC.py", line 79, in <module>
% 1.37/1.55 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 1.37/1.55 File "/export/starexec/sandbox/solver/bin/TPTP.py", line 38, in __init__
% 1.37/1.55 parser.parse(file.read(),debug=0,lexer=lexer)
% 1.37/1.55 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 265, in parse
% 1.37/1.55 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 1.37/1.55 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 1.37/1.55 tok = self.errorfunc(errtoken)
% 1.37/1.55 File "/export/starexec/sandbox/solver/bin/TPTPparser.py", line 2099, in p_error
% 1.37/1.55 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 1.37/1.55 TPTPparser.TPTPParsingError: Syntax error at 'B':UPPERWORD
%------------------------------------------------------------------------------