TSTP Solution File: ITP112^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP112^1 : TPTP v7.5.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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
% DateTime : Sun Mar 21 13:24:13 EDT 2021
% Result : Unknown 0.69s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ITP112^1 : TPTP v7.5.0. Released v7.5.0.
% 0.08/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Fri Mar 19 05:55:14 EDT 2021
% 0.13/0.34 % CPUTime :
% 0.13/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.35 Python 2.7.5
% 0.38/0.63 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x22fe128>, <kernel.Type object at 0x2b025b45e440>) of role type named ty_n_t__Filter__Ofilter_It__Extended____Real__Oereal_J
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring filter2049122004_ereal:Type
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x22fe5a8>, <kernel.Type object at 0x2b025b45e6c8>) of role type named ty_n_t__Set__Oset_It__Extended____Real__Oereal_J
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring set_Extended_ereal:Type
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x22fe050>, <kernel.Type object at 0x2b025b45e3f8>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring filter_real:Type
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x22fe5a8>, <kernel.Type object at 0x2b025b45e488>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring filter_nat:Type
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x22fe128>, <kernel.Type object at 0x2b025b45e518>) of role type named ty_n_t__Filter__Ofilter_It__Int__Oint_J
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring filter_int:Type
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x22fe128>, <kernel.Type object at 0x22fa3f8>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring set_real:Type
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x2b025b45e440>, <kernel.Type object at 0x22fa3f8>) of role type named ty_n_t__Filter__Ofilter_Itf__a_J
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring filter_a:Type
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x2b025b45e4d0>, <kernel.Type object at 0x22fa7a0>) of role type named ty_n_t__Extended____Real__Oereal
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring extended_ereal:Type
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x2b025b45e488>, <kernel.Type object at 0x22fa4d0>) of role type named ty_n_t__Real__Oreal
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring real:Type
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x2b025b45e518>, <kernel.Type object at 0x22fa290>) of role type named ty_n_t__Nat__Onat
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring nat:Type
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x2b025b45e488>, <kernel.Type object at 0x2b025b460758>) of role type named ty_n_t__Int__Oint
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring int:Type
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x2b025b45e4d0>, <kernel.Type object at 0x2b025b460758>) of role type named ty_n_tf__a
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring a:Type
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x22fa3f8>, <kernel.Constant object at 0x2b025b460518>) of role type named sy_c_Extended__Nat_Oinfinity__class_Oinfinity_001t__Extended____Real__Oereal
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring extend1289208545_ereal:extended_ereal
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x2b025b460518>, <kernel.DependentProduct object at 0x22fdb90>) of role type named sy_c_Extended__Real_Oereal_Oereal
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring extended_ereal2:(real->extended_ereal)
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x2b025b460518>, <kernel.Constant object at 0x22fd248>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring at_bot_real:filter_real
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x22fa7a0>, <kernel.Constant object at 0x22fdb90>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring at_top_nat:filter_nat
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x22fa4d0>, <kernel.Constant object at 0x22fdcb0>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring at_top_real:filter_real
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x22fa290>, <kernel.DependentProduct object at 0x22fd248>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Extended____Real__Oereal
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring filter1531173832_ereal:((nat->extended_ereal)->(filter2049122004_ereal->(filter_nat->Prop)))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x22fa290>, <kernel.DependentProduct object at 0x22fd2d8>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Int__Oint
% 0.38/0.63 Using role type
% 0.38/0.63 Declaring filterlim_nat_int:((nat->int)->(filter_int->(filter_nat->Prop)))
% 0.38/0.63 FOF formula (<kernel.Constant object at 0x22fd7e8>, <kernel.DependentProduct object at 0x22fd7a0>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fdea8>, <kernel.DependentProduct object at 0x22fd680>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fdb90>, <kernel.DependentProduct object at 0x22fd7e8>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001tf__a
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring filterlim_nat_a:((nat->a)->(filter_a->(filter_nat->Prop)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fdcf8>, <kernel.DependentProduct object at 0x22fdea8>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fdbd8>, <kernel.DependentProduct object at 0x22fd6c8>) of role type named sy_c_Fun_Ocomp_001t__Extended____Real__Oereal_001t__Extended____Real__Oereal_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comp_E1308517939al_nat:((extended_ereal->extended_ereal)->((nat->extended_ereal)->(nat->extended_ereal)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fd098>, <kernel.DependentProduct object at 0x22fdf80>) of role type named sy_c_Fun_Ocomp_001t__Extended____Real__Oereal_001t__Extended____Real__Oereal_001tf__a
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comp_E489644891real_a:((extended_ereal->extended_ereal)->((a->extended_ereal)->(a->extended_ereal)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fd7e8>, <kernel.DependentProduct object at 0x22fd9e0>) of role type named sy_c_Fun_Ocomp_001t__Extended____Real__Oereal_001t__Int__Oint_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comp_E1436437929nt_nat:((extended_ereal->int)->((nat->extended_ereal)->(nat->int)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fdb90>, <kernel.DependentProduct object at 0x22fdfc8>) of role type named sy_c_Fun_Ocomp_001t__Extended____Real__Oereal_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comp_E1523169101at_nat:((extended_ereal->nat)->((nat->extended_ereal)->(nat->nat)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fd6c8>, <kernel.DependentProduct object at 0x22fdd88>) of role type named sy_c_Fun_Ocomp_001t__Extended____Real__Oereal_001t__Real__Oreal_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comp_E1477338153al_nat:((extended_ereal->real)->((nat->extended_ereal)->(nat->real)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fdf80>, <kernel.DependentProduct object at 0x22fdd40>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Extended____Real__Oereal_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comp_n1096781355al_nat:((nat->extended_ereal)->((nat->nat)->(nat->extended_ereal)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fd098>, <kernel.DependentProduct object at 0x22fd638>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001tf__a_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comp_nat_a_nat:((nat->a)->((nat->nat)->(nat->a)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fdfc8>, <kernel.DependentProduct object at 0x22fd5f0>) of role type named sy_c_Fun_Ocomp_001t__Real__Oreal_001t__Extended____Real__Oereal_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comp_r1410008527al_nat:((real->extended_ereal)->((nat->real)->(nat->extended_ereal)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fdb90>, <kernel.DependentProduct object at 0x22fd758>) of role type named sy_c_Fun_Ocomp_001t__Real__Oreal_001t__Int__Oint_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comp_real_int_nat:((real->int)->((nat->real)->(nat->int)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fd6c8>, <kernel.DependentProduct object at 0x22fd710>) of role type named sy_c_Fun_Ocomp_001t__Real__Oreal_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comp_real_nat_nat:((real->nat)->((nat->real)->(nat->nat)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fdf80>, <kernel.DependentProduct object at 0x22fd128>) of role type named sy_c_Fun_Ocomp_001tf__a_001t__Extended____Real__Oereal_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comp_a1112243075al_nat:((a->extended_ereal)->((nat->a)->(nat->extended_ereal)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fd098>, <kernel.DependentProduct object at 0x22fd0e0>) of role type named sy_c_Fun_Ocomp_001tf__a_001t__Extended____Real__Oereal_001tf__a
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comp_a780206603real_a:((a->extended_ereal)->((a->a)->(a->extended_ereal)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fd758>, <kernel.DependentProduct object at 0x22fd1b8>) of role type named sy_c_Fun_Ocomp_001tf__a_001t__Int__Oint_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comp_a_int_nat:((a->int)->((nat->a)->(nat->int)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fd710>, <kernel.DependentProduct object at 0x22fd170>) of role type named sy_c_Fun_Ocomp_001tf__a_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comp_a_nat_nat:((a->nat)->((nat->a)->(nat->nat)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fd6c8>, <kernel.DependentProduct object at 0x22fdc68>) of role type named sy_c_Fun_Ocomp_001tf__a_001t__Real__Oreal_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comp_a_real_nat:((a->real)->((nat->a)->(nat->real)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fdf80>, <kernel.DependentProduct object at 0x22fdc20>) of role type named sy_c_Fun_Ocomp_001tf__a_001tf__a_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring comp_a_a_nat:((a->a)->((nat->a)->(nat->a)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fd098>, <kernel.DependentProduct object at 0x22fd3f8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Real__Oereal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring plus_p2118002693_ereal:(extended_ereal->(extended_ereal->extended_ereal))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fd758>, <kernel.DependentProduct object at 0x22fd710>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring plus_plus_int:(int->(int->int))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fdc68>, <kernel.DependentProduct object at 0x22fd3b0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fd3f8>, <kernel.DependentProduct object at 0x22fd6c8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring plus_plus_real:(real->(real->real))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fd710>, <kernel.DependentProduct object at 0x22fd098>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Extended____Real__Oereal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring uminus1208298309_ereal:(extended_ereal->extended_ereal)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fd3b0>, <kernel.DependentProduct object at 0x22fd758>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring uminus_uminus_int:(int->int)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fd6c8>, <kernel.DependentProduct object at 0x22d75a8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring uminus_uminus_real:(real->real)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fd098>, <kernel.DependentProduct object at 0x22fd3f8>) of role type named sy_c_HOL_OUniq_001t__Extended____Real__Oereal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring uniq_Extended_ereal:((extended_ereal->Prop)->Prop)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fde60>, <kernel.DependentProduct object at 0x22d75f0>) of role type named sy_c_HOL_OUniq_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring uniq_real:((real->Prop)->Prop)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fd6c8>, <kernel.DependentProduct object at 0x22d7ea8>) of role type named sy_c_HOL_OUniq_001tf__a
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring uniq_a:((a->Prop)->Prop)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fde60>, <kernel.DependentProduct object at 0x22d7c68>) of role type named sy_c_Liminf__Limsup_OLiminf_001t__Nat__Onat_001t__Extended____Real__Oereal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring liminf1045857232_ereal:(filter_nat->((nat->extended_ereal)->extended_ereal))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x22fd098>, <kernel.DependentProduct object at 0x22d7638>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Olsc__at_001t__Extended____Real__Oereal_001t__Extended____Real__Oereal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_1087098792_ereal:(extended_ereal->((extended_ereal->extended_ereal)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b0253961e60>, <kernel.DependentProduct object at 0x2b025b45b680>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Olsc__at_001t__Extended____Real__Oereal_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_48196818al_int:(extended_ereal->((extended_ereal->int)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b025b45bf80>, <kernel.DependentProduct object at 0x22d7638>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Olsc__at_001t__Extended____Real__Oereal_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_1558406774al_nat:(extended_ereal->((extended_ereal->nat)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b025b45bf80>, <kernel.DependentProduct object at 0x22fd6c8>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Olsc__at_001t__Extended____Real__Oereal_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_1165973074l_real:(extended_ereal->((extended_ereal->real)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22d7ea8>, <kernel.DependentProduct object at 0x259bb90>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Olsc__at_001t__Real__Oreal_001t__Extended____Real__Oereal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_551915512_ereal:(real->((real->extended_ereal)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x259b8c0>, <kernel.DependentProduct object at 0x22fd6c8>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Olsc__at_001t__Real__Oreal_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_153911426al_int:(real->((real->int)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x259b8c0>, <kernel.DependentProduct object at 0x22d75a8>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Olsc__at_001t__Real__Oreal_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_1664121382al_nat:(real->((real->nat)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22fd710>, <kernel.DependentProduct object at 0x22d75a8>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Olsc__at_001tf__a_001t__Extended____Real__Oereal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_191460856_ereal:(a->((a->extended_ereal)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22fdc68>, <kernel.DependentProduct object at 0x22f9170>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Olsc__at_001tf__a_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_956963458_a_int:(a->((a->int)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22fd710>, <kernel.DependentProduct object at 0x22f9c68>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Olsc__at_001tf__a_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_319689766_a_nat:(a->((a->nat)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22fd6c8>, <kernel.DependentProduct object at 0x22f9c20>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Olsc__at_001tf__a_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_231615490a_real:(a->((a->real)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22fd6c8>, <kernel.DependentProduct object at 0x22f9bd8>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Ousc__at_001t__Extended____Real__Oereal_001t__Extended____Real__Oereal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_1071158961_ereal:(extended_ereal->((extended_ereal->extended_ereal)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22d75a8>, <kernel.DependentProduct object at 0x22f9b90>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Ousc__at_001t__Extended____Real__Oereal_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_637387785al_int:(extended_ereal->((extended_ereal->int)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22d7c68>, <kernel.DependentProduct object at 0x22f9368>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Ousc__at_001t__Extended____Real__Oereal_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_114093al_nat:(extended_ereal->((extended_ereal->nat)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22d75a8>, <kernel.DependentProduct object at 0x22f9320>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Ousc__at_001t__Extended____Real__Oereal_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_737640969l_real:(extended_ereal->((extended_ereal->real)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22d75f0>, <kernel.DependentProduct object at 0x22f9d40>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Ousc__at_001t__Real__Oreal_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_1075504779al_int:(real->((real->int)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22d75f0>, <kernel.DependentProduct object at 0x22f9dd0>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Ousc__at_001t__Real__Oreal_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_438231087al_nat:(real->((real->nat)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22f9320>, <kernel.DependentProduct object at 0x22f94d0>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Ousc__at_001tf__a_001t__Extended____Real__Oereal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_534855297_ereal:(a->((a->extended_ereal)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22f9d40>, <kernel.DependentProduct object at 0x22f9ef0>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Ousc__at_001tf__a_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_1672990777_a_int:(a->((a->int)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22f9dd0>, <kernel.DependentProduct object at 0x22f9cb0>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Ousc__at_001tf__a_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_1035717085_a_nat:(a->((a->nat)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22f94d0>, <kernel.DependentProduct object at 0x22f99e0>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Ousc__at_001tf__a_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring lower_755922489a_real:(a->((a->real)->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22f9ef0>, <kernel.DependentProduct object at 0x22f9098>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring semiri2019852685at_int:(nat->int)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22f9cb0>, <kernel.DependentProduct object at 0x22f9d40>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring semiri2110766477t_real:(nat->real)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22f99e0>, <kernel.DependentProduct object at 0x22f94d0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Real__Oereal
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring ord_le824540014_ereal:(extended_ereal->(extended_ereal->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22f9098>, <kernel.DependentProduct object at 0x22f9bd8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring ord_le1745708096er_nat:(filter_nat->(filter_nat->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22f9d40>, <kernel.DependentProduct object at 0x22f9ef0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Real__Oreal_J
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring ord_le132810396r_real:(filter_real->(filter_real->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22f94d0>, <kernel.DependentProduct object at 0x22f9cb0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22f9bd8>, <kernel.DependentProduct object at 0x22f99e0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x22f9ef0>, <kernel.DependentProduct object at 0x22f9098>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x22f9b90>, <kernel.DependentProduct object at 0x22f9ea8>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring collect_real:((real->Prop)->set_real)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x22f94d0>, <kernel.DependentProduct object at 0x22f9e60>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Extended____Real__Oereal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring topolo1069469409_ereal:((nat->extended_ereal)->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x22f9098>, <kernel.DependentProduct object at 0x22f9d40>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring topolo411883481eq_int:((nat->int)->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x22f9ef0>, <kernel.DependentProduct object at 0x22f9ea8>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring topolo1922093437eq_nat:((nat->nat)->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x22f97e8>, <kernel.DependentProduct object at 0x22f99e0>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring topolo144289241q_real:((nat->real)->Prop)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x22f9908>, <kernel.DependentProduct object at 0x22f9950>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Extended____Real__Oereal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring topolo2140997059_ereal:(extended_ereal->filter2049122004_ereal)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x22f98c0>, <kernel.DependentProduct object at 0x22f95f0>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Int__Oint
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring topolo54776183ds_int:(int->filter_int)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x22f99e0>, <kernel.DependentProduct object at 0x22f9998>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Nat__Onat
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring topolo1564986139ds_nat:(nat->filter_nat)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x22f9950>, <kernel.DependentProduct object at 0x22f97a0>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring topolo1664202871s_real:(real->filter_real)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x22f95f0>, <kernel.DependentProduct object at 0x22f9758>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001tf__a
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring topolo705128563nhds_a:(a->filter_a)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x22f9998>, <kernel.DependentProduct object at 0x22f99e0>) of role type named sy_c_member_001t__Extended____Real__Oereal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring member1900190071_ereal:(extended_ereal->(set_Extended_ereal->Prop))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x22f9cb0>, <kernel.DependentProduct object at 0x2b025398b200>) of role type named sy_c_member_001t__Real__Oreal
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring member_real:(real->(set_real->Prop))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x22f9950>, <kernel.Constant object at 0x22f9cb0>) of role type named sy_v_A____
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring a2:extended_ereal
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x22f99e0>, <kernel.DependentProduct object at 0x2b025398b248>) of role type named sy_v_f
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring f:(a->extended_ereal)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x22f9758>, <kernel.Constant object at 0x22f9950>) of role type named sy_v_x0
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring x0:a
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x22f95f0>, <kernel.DependentProduct object at 0x2b025398b0e0>) of role type named sy_v_x____
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring x:(nat->a)
% 0.47/0.66 FOF formula (((filterlim_nat_a x) (topolo705128563nhds_a x0)) at_top_nat) of role axiom named fact_0_x__def_I1_J
% 0.47/0.66 A new axiom: (((filterlim_nat_a x) (topolo705128563nhds_a x0)) at_top_nat)
% 0.47/0.66 FOF formula (((filter1531173832_ereal ((comp_a1112243075al_nat f) x)) (topolo2140997059_ereal a2)) at_top_nat) of role axiom named fact_1_x__def_I2_J
% 0.47/0.66 A new axiom: (((filter1531173832_ereal ((comp_a1112243075al_nat f) x)) (topolo2140997059_ereal a2)) at_top_nat)
% 0.47/0.67 FOF formula (forall (F:filter_nat), ((((filter1531173832_ereal ((comp_a1112243075al_nat f) x)) (topolo2140997059_ereal a2)) F)->(((filter1531173832_ereal (fun (X:nat)=> (uminus1208298309_ereal (((comp_a1112243075al_nat f) x) X)))) (topolo2140997059_ereal (uminus1208298309_ereal a2))) F))) of role axiom named fact_2__092_060open_062_092_060And_062F_O_A_I_If_A_092_060circ_062_Ax_J_A_092_060longlongrightarrow_062_AA_J_AF_A_092_060Longrightarrow_062_A_I_I_092_060lambda_062xa_O_A_N_A_If_A_092_060circ_062_Ax_J_Axa_J_A_092_060longlongrightarrow_062_A_N_AA_J_AF_092_060close_062
% 0.47/0.67 A new axiom: (forall (F:filter_nat), ((((filter1531173832_ereal ((comp_a1112243075al_nat f) x)) (topolo2140997059_ereal a2)) F)->(((filter1531173832_ereal (fun (X:nat)=> (uminus1208298309_ereal (((comp_a1112243075al_nat f) x) X)))) (topolo2140997059_ereal (uminus1208298309_ereal a2))) F)))
% 0.47/0.67 FOF formula ((lower_191460856_ereal x0) (fun (X:a)=> (uminus1208298309_ereal (f X)))) of role axiom named fact_3_lsc
% 0.47/0.67 A new axiom: ((lower_191460856_ereal x0) (fun (X:a)=> (uminus1208298309_ereal (f X))))
% 0.47/0.67 FOF formula (forall (F2:(nat->extended_ereal)) (X2:extended_ereal) (F:filter_nat), ((((filter1531173832_ereal F2) (topolo2140997059_ereal X2)) F)->(((filter1531173832_ereal (fun (X:nat)=> (uminus1208298309_ereal (F2 X)))) (topolo2140997059_ereal (uminus1208298309_ereal X2))) F))) of role axiom named fact_4_tendsto__uminus__ereal
% 0.47/0.67 A new axiom: (forall (F2:(nat->extended_ereal)) (X2:extended_ereal) (F:filter_nat), ((((filter1531173832_ereal F2) (topolo2140997059_ereal X2)) F)->(((filter1531173832_ereal (fun (X:nat)=> (uminus1208298309_ereal (F2 X)))) (topolo2140997059_ereal (uminus1208298309_ereal X2))) F)))
% 0.47/0.67 FOF formula (forall (K:real) (F:filter_real), (((filterlim_real_real (fun (X:real)=> K)) (topolo1664202871s_real K)) F)) of role axiom named fact_5_tendsto__const
% 0.47/0.67 A new axiom: (forall (K:real) (F:filter_real), (((filterlim_real_real (fun (X:real)=> K)) (topolo1664202871s_real K)) F))
% 0.47/0.67 FOF formula (forall (K:real) (F:filter_nat), (((filterlim_nat_real (fun (X:nat)=> K)) (topolo1664202871s_real K)) F)) of role axiom named fact_6_tendsto__const
% 0.47/0.67 A new axiom: (forall (K:real) (F:filter_nat), (((filterlim_nat_real (fun (X:nat)=> K)) (topolo1664202871s_real K)) F))
% 0.47/0.67 FOF formula (forall (K:extended_ereal) (F:filter_nat), (((filter1531173832_ereal (fun (X:nat)=> K)) (topolo2140997059_ereal K)) F)) of role axiom named fact_7_tendsto__const
% 0.47/0.67 A new axiom: (forall (K:extended_ereal) (F:filter_nat), (((filter1531173832_ereal (fun (X:nat)=> K)) (topolo2140997059_ereal K)) F))
% 0.47/0.67 FOF formula (forall (K:a) (F:filter_nat), (((filterlim_nat_a (fun (X:nat)=> K)) (topolo705128563nhds_a K)) F)) of role axiom named fact_8_tendsto__const
% 0.47/0.67 A new axiom: (forall (K:a) (F:filter_nat), (((filterlim_nat_a (fun (X:nat)=> K)) (topolo705128563nhds_a K)) F))
% 0.47/0.67 FOF formula (forall (F2:(nat->extended_ereal)) (F0:extended_ereal) (Net:filter_nat), (((eq Prop) (((filter1531173832_ereal F2) (topolo2140997059_ereal F0)) Net)) (((filter1531173832_ereal (fun (X:nat)=> (uminus1208298309_ereal (F2 X)))) (topolo2140997059_ereal (uminus1208298309_ereal F0))) Net))) of role axiom named fact_9_ereal__Lim__uminus
% 0.47/0.67 A new axiom: (forall (F2:(nat->extended_ereal)) (F0:extended_ereal) (Net:filter_nat), (((eq Prop) (((filter1531173832_ereal F2) (topolo2140997059_ereal F0)) Net)) (((filter1531173832_ereal (fun (X:nat)=> (uminus1208298309_ereal (F2 X)))) (topolo2140997059_ereal (uminus1208298309_ereal F0))) Net)))
% 0.47/0.67 FOF formula (forall (K:real) (L:real), (((eq Prop) (((filterlim_nat_real (fun (N:nat)=> K)) (topolo1664202871s_real L)) at_top_nat)) (((eq real) K) L))) of role axiom named fact_10_LIMSEQ__const__iff
% 0.47/0.67 A new axiom: (forall (K:real) (L:real), (((eq Prop) (((filterlim_nat_real (fun (N:nat)=> K)) (topolo1664202871s_real L)) at_top_nat)) (((eq real) K) L)))
% 0.47/0.67 FOF formula (forall (K:extended_ereal) (L:extended_ereal), (((eq Prop) (((filter1531173832_ereal (fun (N:nat)=> K)) (topolo2140997059_ereal L)) at_top_nat)) (((eq extended_ereal) K) L))) of role axiom named fact_11_LIMSEQ__const__iff
% 0.47/0.68 A new axiom: (forall (K:extended_ereal) (L:extended_ereal), (((eq Prop) (((filter1531173832_ereal (fun (N:nat)=> K)) (topolo2140997059_ereal L)) at_top_nat)) (((eq extended_ereal) K) L)))
% 0.47/0.68 FOF formula (forall (K:a) (L:a), (((eq Prop) (((filterlim_nat_a (fun (N:nat)=> K)) (topolo705128563nhds_a L)) at_top_nat)) (((eq a) K) L))) of role axiom named fact_12_LIMSEQ__const__iff
% 0.47/0.68 A new axiom: (forall (K:a) (L:a), (((eq Prop) (((filterlim_nat_a (fun (N:nat)=> K)) (topolo705128563nhds_a L)) at_top_nat)) (((eq a) K) L)))
% 0.47/0.68 FOF formula (forall (F2:(real->real)) (A:real) (F:filter_real), ((((filterlim_real_real (fun (X:real)=> (uminus_uminus_real (F2 X)))) (topolo1664202871s_real (uminus_uminus_real A))) F)->(((filterlim_real_real F2) (topolo1664202871s_real A)) F))) of role axiom named fact_13_tendsto__minus__cancel
% 0.47/0.68 A new axiom: (forall (F2:(real->real)) (A:real) (F:filter_real), ((((filterlim_real_real (fun (X:real)=> (uminus_uminus_real (F2 X)))) (topolo1664202871s_real (uminus_uminus_real A))) F)->(((filterlim_real_real F2) (topolo1664202871s_real A)) F)))
% 0.47/0.68 FOF formula (forall (F2:(nat->real)) (A:real) (F:filter_nat), ((((filterlim_nat_real (fun (X:nat)=> (uminus_uminus_real (F2 X)))) (topolo1664202871s_real (uminus_uminus_real A))) F)->(((filterlim_nat_real F2) (topolo1664202871s_real A)) F))) of role axiom named fact_14_tendsto__minus__cancel
% 0.47/0.68 A new axiom: (forall (F2:(nat->real)) (A:real) (F:filter_nat), ((((filterlim_nat_real (fun (X:nat)=> (uminus_uminus_real (F2 X)))) (topolo1664202871s_real (uminus_uminus_real A))) F)->(((filterlim_nat_real F2) (topolo1664202871s_real A)) F)))
% 0.47/0.68 FOF formula (forall (F2:(real->real)) (Y:real) (F:filter_real), (((eq Prop) (((filterlim_real_real F2) (topolo1664202871s_real (uminus_uminus_real Y))) F)) (((filterlim_real_real (fun (X:real)=> (uminus_uminus_real (F2 X)))) (topolo1664202871s_real Y)) F))) of role axiom named fact_15_tendsto__minus__cancel__left
% 0.47/0.68 A new axiom: (forall (F2:(real->real)) (Y:real) (F:filter_real), (((eq Prop) (((filterlim_real_real F2) (topolo1664202871s_real (uminus_uminus_real Y))) F)) (((filterlim_real_real (fun (X:real)=> (uminus_uminus_real (F2 X)))) (topolo1664202871s_real Y)) F)))
% 0.47/0.68 FOF formula (forall (F2:(nat->real)) (Y:real) (F:filter_nat), (((eq Prop) (((filterlim_nat_real F2) (topolo1664202871s_real (uminus_uminus_real Y))) F)) (((filterlim_nat_real (fun (X:nat)=> (uminus_uminus_real (F2 X)))) (topolo1664202871s_real Y)) F))) of role axiom named fact_16_tendsto__minus__cancel__left
% 0.47/0.68 A new axiom: (forall (F2:(nat->real)) (Y:real) (F:filter_nat), (((eq Prop) (((filterlim_nat_real F2) (topolo1664202871s_real (uminus_uminus_real Y))) F)) (((filterlim_nat_real (fun (X:nat)=> (uminus_uminus_real (F2 X)))) (topolo1664202871s_real Y)) F)))
% 0.47/0.68 FOF formula (forall (F2:(real->real)) (A:real) (F:filter_real), ((((filterlim_real_real F2) (topolo1664202871s_real A)) F)->(((filterlim_real_real (fun (X:real)=> (uminus_uminus_real (F2 X)))) (topolo1664202871s_real (uminus_uminus_real A))) F))) of role axiom named fact_17_tendsto__minus
% 0.47/0.68 A new axiom: (forall (F2:(real->real)) (A:real) (F:filter_real), ((((filterlim_real_real F2) (topolo1664202871s_real A)) F)->(((filterlim_real_real (fun (X:real)=> (uminus_uminus_real (F2 X)))) (topolo1664202871s_real (uminus_uminus_real A))) F)))
% 0.47/0.68 FOF formula (forall (F2:(nat->real)) (A:real) (F:filter_nat), ((((filterlim_nat_real F2) (topolo1664202871s_real A)) F)->(((filterlim_nat_real (fun (X:nat)=> (uminus_uminus_real (F2 X)))) (topolo1664202871s_real (uminus_uminus_real A))) F))) of role axiom named fact_18_tendsto__minus
% 0.47/0.68 A new axiom: (forall (F2:(nat->real)) (A:real) (F:filter_nat), ((((filterlim_nat_real F2) (topolo1664202871s_real A)) F)->(((filterlim_nat_real (fun (X:nat)=> (uminus_uminus_real (F2 X)))) (topolo1664202871s_real (uminus_uminus_real A))) F)))
% 0.47/0.68 FOF formula (forall (X3:(nat->extended_ereal)) (A:extended_ereal) (B:extended_ereal), ((((filter1531173832_ereal X3) (topolo2140997059_ereal A)) at_top_nat)->((((filter1531173832_ereal X3) (topolo2140997059_ereal B)) at_top_nat)->(((eq extended_ereal) A) B)))) of role axiom named fact_19_LIMSEQ__unique
% 0.52/0.69 A new axiom: (forall (X3:(nat->extended_ereal)) (A:extended_ereal) (B:extended_ereal), ((((filter1531173832_ereal X3) (topolo2140997059_ereal A)) at_top_nat)->((((filter1531173832_ereal X3) (topolo2140997059_ereal B)) at_top_nat)->(((eq extended_ereal) A) B))))
% 0.52/0.69 FOF formula (forall (X3:(nat->a)) (A:a) (B:a), ((((filterlim_nat_a X3) (topolo705128563nhds_a A)) at_top_nat)->((((filterlim_nat_a X3) (topolo705128563nhds_a B)) at_top_nat)->(((eq a) A) B)))) of role axiom named fact_20_LIMSEQ__unique
% 0.52/0.69 A new axiom: (forall (X3:(nat->a)) (A:a) (B:a), ((((filterlim_nat_a X3) (topolo705128563nhds_a A)) at_top_nat)->((((filterlim_nat_a X3) (topolo705128563nhds_a B)) at_top_nat)->(((eq a) A) B))))
% 0.52/0.69 FOF formula (forall (X3:(nat->real)) (A:real) (B:real), ((((filterlim_nat_real X3) (topolo1664202871s_real A)) at_top_nat)->((((filterlim_nat_real X3) (topolo1664202871s_real B)) at_top_nat)->(((eq real) A) B)))) of role axiom named fact_21_LIMSEQ__unique
% 0.52/0.69 A new axiom: (forall (X3:(nat->real)) (A:real) (B:real), ((((filterlim_nat_real X3) (topolo1664202871s_real A)) at_top_nat)->((((filterlim_nat_real X3) (topolo1664202871s_real B)) at_top_nat)->(((eq real) A) B))))
% 0.52/0.69 FOF formula (forall (A:real), (((filterlim_real_real uminus_uminus_real) (topolo1664202871s_real (uminus_uminus_real A))) (topolo1664202871s_real A))) of role axiom named fact_22_tendsto__uminus__nhds
% 0.52/0.69 A new axiom: (forall (A:real), (((filterlim_real_real uminus_uminus_real) (topolo1664202871s_real (uminus_uminus_real A))) (topolo1664202871s_real A)))
% 0.52/0.69 FOF formula (forall (A:extended_ereal) (B:extended_ereal), (((eq Prop) (((eq extended_ereal) (uminus1208298309_ereal A)) (uminus1208298309_ereal B))) (((eq extended_ereal) A) B))) of role axiom named fact_23_ereal__uminus__eq__iff
% 0.52/0.69 A new axiom: (forall (A:extended_ereal) (B:extended_ereal), (((eq Prop) (((eq extended_ereal) (uminus1208298309_ereal A)) (uminus1208298309_ereal B))) (((eq extended_ereal) A) B)))
% 0.52/0.69 FOF formula (forall (A:extended_ereal), (((eq extended_ereal) (uminus1208298309_ereal (uminus1208298309_ereal A))) A)) of role axiom named fact_24_ereal__uminus__uminus
% 0.52/0.69 A new axiom: (forall (A:extended_ereal), (((eq extended_ereal) (uminus1208298309_ereal (uminus1208298309_ereal A))) A))
% 0.52/0.69 FOF formula (forall (B:real), (((eq real) (uminus_uminus_real (uminus_uminus_real B))) B)) of role axiom named fact_25_verit__minus__simplify_I4_J
% 0.52/0.69 A new axiom: (forall (B:real), (((eq real) (uminus_uminus_real (uminus_uminus_real B))) B))
% 0.52/0.69 FOF formula (forall (A:real) (B:real), ((((eq real) A) B)->(((eq real) (uminus_uminus_real A)) (uminus_uminus_real B)))) of role axiom named fact_26_verit__negate__coefficient_I3_J
% 0.52/0.69 A new axiom: (forall (A:real) (B:real), ((((eq real) A) B)->(((eq real) (uminus_uminus_real A)) (uminus_uminus_real B))))
% 0.52/0.69 FOF formula (forall (A:extended_ereal) (B:extended_ereal), (((eq Prop) (((eq extended_ereal) (uminus1208298309_ereal A)) B)) (((eq extended_ereal) A) (uminus1208298309_ereal B)))) of role axiom named fact_27_ereal__uminus__eq__reorder
% 0.52/0.69 A new axiom: (forall (A:extended_ereal) (B:extended_ereal), (((eq Prop) (((eq extended_ereal) (uminus1208298309_ereal A)) B)) (((eq extended_ereal) A) (uminus1208298309_ereal B))))
% 0.52/0.69 FOF formula (forall (F2:(nat->extended_ereal)) (X2:extended_ereal) (F:filter_nat) (Y:extended_ereal), ((((filter1531173832_ereal F2) (topolo2140997059_ereal X2)) F)->((((eq extended_ereal) X2) Y)->(((filter1531173832_ereal F2) (topolo2140997059_ereal Y)) F)))) of role axiom named fact_28_tendsto__eq__rhs
% 0.52/0.69 A new axiom: (forall (F2:(nat->extended_ereal)) (X2:extended_ereal) (F:filter_nat) (Y:extended_ereal), ((((filter1531173832_ereal F2) (topolo2140997059_ereal X2)) F)->((((eq extended_ereal) X2) Y)->(((filter1531173832_ereal F2) (topolo2140997059_ereal Y)) F))))
% 0.52/0.69 FOF formula (forall (F2:(nat->a)) (X2:a) (F:filter_nat) (Y:a), ((((filterlim_nat_a F2) (topolo705128563nhds_a X2)) F)->((((eq a) X2) Y)->(((filterlim_nat_a F2) (topolo705128563nhds_a Y)) F)))) of role axiom named fact_29_tendsto__eq__rhs
% 0.52/0.69 A new axiom: (forall (F2:(nat->a)) (X2:a) (F:filter_nat) (Y:a), ((((filterlim_nat_a F2) (topolo705128563nhds_a X2)) F)->((((eq a) X2) Y)->(((filterlim_nat_a F2) (topolo705128563nhds_a Y)) F))))
% 0.52/0.71 FOF formula (forall (F2:(real->real)) (X2:real) (F:filter_real) (Y:real), ((((filterlim_real_real F2) (topolo1664202871s_real X2)) F)->((((eq real) X2) Y)->(((filterlim_real_real F2) (topolo1664202871s_real Y)) F)))) of role axiom named fact_30_tendsto__eq__rhs
% 0.52/0.71 A new axiom: (forall (F2:(real->real)) (X2:real) (F:filter_real) (Y:real), ((((filterlim_real_real F2) (topolo1664202871s_real X2)) F)->((((eq real) X2) Y)->(((filterlim_real_real F2) (topolo1664202871s_real Y)) F))))
% 0.52/0.71 FOF formula (forall (F2:(nat->real)) (X2:real) (F:filter_nat) (Y:real), ((((filterlim_nat_real F2) (topolo1664202871s_real X2)) F)->((((eq real) X2) Y)->(((filterlim_nat_real F2) (topolo1664202871s_real Y)) F)))) of role axiom named fact_31_tendsto__eq__rhs
% 0.52/0.71 A new axiom: (forall (F2:(nat->real)) (X2:real) (F:filter_nat) (Y:real), ((((filterlim_nat_real F2) (topolo1664202871s_real X2)) F)->((((eq real) X2) Y)->(((filterlim_nat_real F2) (topolo1664202871s_real Y)) F))))
% 0.52/0.71 FOF formula (forall (F2:(nat->extended_ereal)) (L:extended_ereal) (F:filter_nat) (K:extended_ereal), ((((filter1531173832_ereal F2) (topolo2140997059_ereal L)) F)->((((eq extended_ereal) K) L)->(((filter1531173832_ereal F2) (topolo2140997059_ereal K)) F)))) of role axiom named fact_32_tendsto__cong__limit
% 0.52/0.71 A new axiom: (forall (F2:(nat->extended_ereal)) (L:extended_ereal) (F:filter_nat) (K:extended_ereal), ((((filter1531173832_ereal F2) (topolo2140997059_ereal L)) F)->((((eq extended_ereal) K) L)->(((filter1531173832_ereal F2) (topolo2140997059_ereal K)) F))))
% 0.52/0.71 FOF formula (forall (F2:(nat->a)) (L:a) (F:filter_nat) (K:a), ((((filterlim_nat_a F2) (topolo705128563nhds_a L)) F)->((((eq a) K) L)->(((filterlim_nat_a F2) (topolo705128563nhds_a K)) F)))) of role axiom named fact_33_tendsto__cong__limit
% 0.52/0.71 A new axiom: (forall (F2:(nat->a)) (L:a) (F:filter_nat) (K:a), ((((filterlim_nat_a F2) (topolo705128563nhds_a L)) F)->((((eq a) K) L)->(((filterlim_nat_a F2) (topolo705128563nhds_a K)) F))))
% 0.52/0.71 FOF formula (forall (F2:(real->real)) (L:real) (F:filter_real) (K:real), ((((filterlim_real_real F2) (topolo1664202871s_real L)) F)->((((eq real) K) L)->(((filterlim_real_real F2) (topolo1664202871s_real K)) F)))) of role axiom named fact_34_tendsto__cong__limit
% 0.52/0.71 A new axiom: (forall (F2:(real->real)) (L:real) (F:filter_real) (K:real), ((((filterlim_real_real F2) (topolo1664202871s_real L)) F)->((((eq real) K) L)->(((filterlim_real_real F2) (topolo1664202871s_real K)) F))))
% 0.52/0.71 FOF formula (forall (F2:(nat->real)) (L:real) (F:filter_nat) (K:real), ((((filterlim_nat_real F2) (topolo1664202871s_real L)) F)->((((eq real) K) L)->(((filterlim_nat_real F2) (topolo1664202871s_real K)) F)))) of role axiom named fact_35_tendsto__cong__limit
% 0.52/0.71 A new axiom: (forall (F2:(nat->real)) (L:real) (F:filter_nat) (K:real), ((((filterlim_nat_real F2) (topolo1664202871s_real L)) F)->((((eq real) K) L)->(((filterlim_nat_real F2) (topolo1664202871s_real K)) F))))
% 0.52/0.71 FOF formula (((eq ((a->extended_ereal)->((nat->a)->(nat->extended_ereal)))) comp_a1112243075al_nat) (fun (F3:(a->extended_ereal)) (G:(nat->a)) (X:nat)=> (F3 (G X)))) of role axiom named fact_36_comp__apply
% 0.52/0.71 A new axiom: (((eq ((a->extended_ereal)->((nat->a)->(nat->extended_ereal)))) comp_a1112243075al_nat) (fun (F3:(a->extended_ereal)) (G:(nat->a)) (X:nat)=> (F3 (G X))))
% 0.52/0.71 FOF formula (forall (A:real) (B:real), (((eq Prop) (((eq real) (uminus_uminus_real A)) (uminus_uminus_real B))) (((eq real) A) B))) of role axiom named fact_37_neg__equal__iff__equal
% 0.52/0.71 A new axiom: (forall (A:real) (B:real), (((eq Prop) (((eq real) (uminus_uminus_real A)) (uminus_uminus_real B))) (((eq real) A) B)))
% 0.52/0.71 FOF formula (forall (A:real), (((eq real) (uminus_uminus_real (uminus_uminus_real A))) A)) of role axiom named fact_38_add_Oinverse__inverse
% 0.52/0.71 A new axiom: (forall (A:real), (((eq real) (uminus_uminus_real (uminus_uminus_real A))) A))
% 0.52/0.71 FOF formula (forall (X0:real) (F2:(real->extended_ereal)) (X2:(nat->real)) (C:(nat->extended_ereal)) (C0:extended_ereal), (((lower_551915512_ereal X0) F2)->((((filterlim_nat_real X2) (topolo1664202871s_real X0)) at_top_nat)->((((filter1531173832_ereal C) (topolo2140997059_ereal C0)) at_top_nat)->((forall (N2:nat), ((ord_le824540014_ereal (F2 (X2 N2))) (C N2)))->((ord_le824540014_ereal (F2 X0)) C0)))))) of role axiom named fact_39_lsc__sequentially__mem
% 0.52/0.72 A new axiom: (forall (X0:real) (F2:(real->extended_ereal)) (X2:(nat->real)) (C:(nat->extended_ereal)) (C0:extended_ereal), (((lower_551915512_ereal X0) F2)->((((filterlim_nat_real X2) (topolo1664202871s_real X0)) at_top_nat)->((((filter1531173832_ereal C) (topolo2140997059_ereal C0)) at_top_nat)->((forall (N2:nat), ((ord_le824540014_ereal (F2 (X2 N2))) (C N2)))->((ord_le824540014_ereal (F2 X0)) C0))))))
% 0.52/0.72 FOF formula (forall (X0:a) (F2:(a->extended_ereal)) (X2:(nat->a)) (C:(nat->extended_ereal)) (C0:extended_ereal), (((lower_191460856_ereal X0) F2)->((((filterlim_nat_a X2) (topolo705128563nhds_a X0)) at_top_nat)->((((filter1531173832_ereal C) (topolo2140997059_ereal C0)) at_top_nat)->((forall (N2:nat), ((ord_le824540014_ereal (F2 (X2 N2))) (C N2)))->((ord_le824540014_ereal (F2 X0)) C0)))))) of role axiom named fact_40_lsc__sequentially__mem
% 0.52/0.72 A new axiom: (forall (X0:a) (F2:(a->extended_ereal)) (X2:(nat->a)) (C:(nat->extended_ereal)) (C0:extended_ereal), (((lower_191460856_ereal X0) F2)->((((filterlim_nat_a X2) (topolo705128563nhds_a X0)) at_top_nat)->((((filter1531173832_ereal C) (topolo2140997059_ereal C0)) at_top_nat)->((forall (N2:nat), ((ord_le824540014_ereal (F2 (X2 N2))) (C N2)))->((ord_le824540014_ereal (F2 X0)) C0))))))
% 0.52/0.72 FOF formula (((eq (real->((real->extended_ereal)->Prop))) lower_551915512_ereal) (fun (X02:real) (F3:(real->extended_ereal))=> (forall (X:(nat->real)) (C2:(nat->extended_ereal)) (C02:extended_ereal), (((and ((and (((filterlim_nat_real X) (topolo1664202871s_real X02)) at_top_nat)) (((filter1531173832_ereal C2) (topolo2140997059_ereal C02)) at_top_nat))) (forall (N:nat), ((ord_le824540014_ereal (F3 (X N))) (C2 N))))->((ord_le824540014_ereal (F3 X02)) C02))))) of role axiom named fact_41_lsc__sequentially__gen
% 0.52/0.72 A new axiom: (((eq (real->((real->extended_ereal)->Prop))) lower_551915512_ereal) (fun (X02:real) (F3:(real->extended_ereal))=> (forall (X:(nat->real)) (C2:(nat->extended_ereal)) (C02:extended_ereal), (((and ((and (((filterlim_nat_real X) (topolo1664202871s_real X02)) at_top_nat)) (((filter1531173832_ereal C2) (topolo2140997059_ereal C02)) at_top_nat))) (forall (N:nat), ((ord_le824540014_ereal (F3 (X N))) (C2 N))))->((ord_le824540014_ereal (F3 X02)) C02)))))
% 0.52/0.72 FOF formula (((eq (a->((a->extended_ereal)->Prop))) lower_191460856_ereal) (fun (X02:a) (F3:(a->extended_ereal))=> (forall (X:(nat->a)) (C2:(nat->extended_ereal)) (C02:extended_ereal), (((and ((and (((filterlim_nat_a X) (topolo705128563nhds_a X02)) at_top_nat)) (((filter1531173832_ereal C2) (topolo2140997059_ereal C02)) at_top_nat))) (forall (N:nat), ((ord_le824540014_ereal (F3 (X N))) (C2 N))))->((ord_le824540014_ereal (F3 X02)) C02))))) of role axiom named fact_42_lsc__sequentially__gen
% 0.52/0.72 A new axiom: (((eq (a->((a->extended_ereal)->Prop))) lower_191460856_ereal) (fun (X02:a) (F3:(a->extended_ereal))=> (forall (X:(nat->a)) (C2:(nat->extended_ereal)) (C02:extended_ereal), (((and ((and (((filterlim_nat_a X) (topolo705128563nhds_a X02)) at_top_nat)) (((filter1531173832_ereal C2) (topolo2140997059_ereal C02)) at_top_nat))) (forall (N:nat), ((ord_le824540014_ereal (F3 (X N))) (C2 N))))->((ord_le824540014_ereal (F3 X02)) C02)))))
% 0.52/0.72 FOF formula (forall (X0:extended_ereal) (F2:(extended_ereal->nat)) (X2:(nat->extended_ereal)) (A2:nat), (((lower_1558406774al_nat X0) F2)->((((filter1531173832_ereal X2) (topolo2140997059_ereal X0)) at_top_nat)->((((filterlim_nat_nat ((comp_E1523169101at_nat F2) X2)) (topolo1564986139ds_nat A2)) at_top_nat)->((ord_less_eq_nat (F2 X0)) A2))))) of role axiom named fact_43_lsc__at__mem
% 0.52/0.72 A new axiom: (forall (X0:extended_ereal) (F2:(extended_ereal->nat)) (X2:(nat->extended_ereal)) (A2:nat), (((lower_1558406774al_nat X0) F2)->((((filter1531173832_ereal X2) (topolo2140997059_ereal X0)) at_top_nat)->((((filterlim_nat_nat ((comp_E1523169101at_nat F2) X2)) (topolo1564986139ds_nat A2)) at_top_nat)->((ord_less_eq_nat (F2 X0)) A2)))))
% 0.52/0.73 FOF formula (forall (X0:extended_ereal) (F2:(extended_ereal->int)) (X2:(nat->extended_ereal)) (A2:int), (((lower_48196818al_int X0) F2)->((((filter1531173832_ereal X2) (topolo2140997059_ereal X0)) at_top_nat)->((((filterlim_nat_int ((comp_E1436437929nt_nat F2) X2)) (topolo54776183ds_int A2)) at_top_nat)->((ord_less_eq_int (F2 X0)) A2))))) of role axiom named fact_44_lsc__at__mem
% 0.52/0.73 A new axiom: (forall (X0:extended_ereal) (F2:(extended_ereal->int)) (X2:(nat->extended_ereal)) (A2:int), (((lower_48196818al_int X0) F2)->((((filter1531173832_ereal X2) (topolo2140997059_ereal X0)) at_top_nat)->((((filterlim_nat_int ((comp_E1436437929nt_nat F2) X2)) (topolo54776183ds_int A2)) at_top_nat)->((ord_less_eq_int (F2 X0)) A2)))))
% 0.52/0.73 FOF formula (forall (X0:extended_ereal) (F2:(extended_ereal->extended_ereal)) (X2:(nat->extended_ereal)) (A2:extended_ereal), (((lower_1087098792_ereal X0) F2)->((((filter1531173832_ereal X2) (topolo2140997059_ereal X0)) at_top_nat)->((((filter1531173832_ereal ((comp_E1308517939al_nat F2) X2)) (topolo2140997059_ereal A2)) at_top_nat)->((ord_le824540014_ereal (F2 X0)) A2))))) of role axiom named fact_45_lsc__at__mem
% 0.52/0.73 A new axiom: (forall (X0:extended_ereal) (F2:(extended_ereal->extended_ereal)) (X2:(nat->extended_ereal)) (A2:extended_ereal), (((lower_1087098792_ereal X0) F2)->((((filter1531173832_ereal X2) (topolo2140997059_ereal X0)) at_top_nat)->((((filter1531173832_ereal ((comp_E1308517939al_nat F2) X2)) (topolo2140997059_ereal A2)) at_top_nat)->((ord_le824540014_ereal (F2 X0)) A2)))))
% 0.52/0.73 FOF formula (forall (X0:extended_ereal) (F2:(extended_ereal->real)) (X2:(nat->extended_ereal)) (A2:real), (((lower_1165973074l_real X0) F2)->((((filter1531173832_ereal X2) (topolo2140997059_ereal X0)) at_top_nat)->((((filterlim_nat_real ((comp_E1477338153al_nat F2) X2)) (topolo1664202871s_real A2)) at_top_nat)->((ord_less_eq_real (F2 X0)) A2))))) of role axiom named fact_46_lsc__at__mem
% 0.52/0.73 A new axiom: (forall (X0:extended_ereal) (F2:(extended_ereal->real)) (X2:(nat->extended_ereal)) (A2:real), (((lower_1165973074l_real X0) F2)->((((filter1531173832_ereal X2) (topolo2140997059_ereal X0)) at_top_nat)->((((filterlim_nat_real ((comp_E1477338153al_nat F2) X2)) (topolo1664202871s_real A2)) at_top_nat)->((ord_less_eq_real (F2 X0)) A2)))))
% 0.52/0.73 FOF formula (forall (X0:a) (F2:(a->nat)) (X2:(nat->a)) (A2:nat), (((lower_319689766_a_nat X0) F2)->((((filterlim_nat_a X2) (topolo705128563nhds_a X0)) at_top_nat)->((((filterlim_nat_nat ((comp_a_nat_nat F2) X2)) (topolo1564986139ds_nat A2)) at_top_nat)->((ord_less_eq_nat (F2 X0)) A2))))) of role axiom named fact_47_lsc__at__mem
% 0.52/0.73 A new axiom: (forall (X0:a) (F2:(a->nat)) (X2:(nat->a)) (A2:nat), (((lower_319689766_a_nat X0) F2)->((((filterlim_nat_a X2) (topolo705128563nhds_a X0)) at_top_nat)->((((filterlim_nat_nat ((comp_a_nat_nat F2) X2)) (topolo1564986139ds_nat A2)) at_top_nat)->((ord_less_eq_nat (F2 X0)) A2)))))
% 0.52/0.73 FOF formula (forall (X0:a) (F2:(a->int)) (X2:(nat->a)) (A2:int), (((lower_956963458_a_int X0) F2)->((((filterlim_nat_a X2) (topolo705128563nhds_a X0)) at_top_nat)->((((filterlim_nat_int ((comp_a_int_nat F2) X2)) (topolo54776183ds_int A2)) at_top_nat)->((ord_less_eq_int (F2 X0)) A2))))) of role axiom named fact_48_lsc__at__mem
% 0.52/0.73 A new axiom: (forall (X0:a) (F2:(a->int)) (X2:(nat->a)) (A2:int), (((lower_956963458_a_int X0) F2)->((((filterlim_nat_a X2) (topolo705128563nhds_a X0)) at_top_nat)->((((filterlim_nat_int ((comp_a_int_nat F2) X2)) (topolo54776183ds_int A2)) at_top_nat)->((ord_less_eq_int (F2 X0)) A2)))))
% 0.52/0.73 FOF formula (forall (X0:a) (F2:(a->real)) (X2:(nat->a)) (A2:real), (((lower_231615490a_real X0) F2)->((((filterlim_nat_a X2) (topolo705128563nhds_a X0)) at_top_nat)->((((filterlim_nat_real ((comp_a_real_nat F2) X2)) (topolo1664202871s_real A2)) at_top_nat)->((ord_less_eq_real (F2 X0)) A2))))) of role axiom named fact_49_lsc__at__mem
% 0.52/0.73 A new axiom: (forall (X0:a) (F2:(a->real)) (X2:(nat->a)) (A2:real), (((lower_231615490a_real X0) F2)->((((filterlim_nat_a X2) (topolo705128563nhds_a X0)) at_top_nat)->((((filterlim_nat_real ((comp_a_real_nat F2) X2)) (topolo1664202871s_real A2)) at_top_nat)->((ord_less_eq_real (F2 X0)) A2)))))
% 0.52/0.75 FOF formula (forall (X0:real) (F2:(real->nat)) (X2:(nat->real)) (A2:nat), (((lower_1664121382al_nat X0) F2)->((((filterlim_nat_real X2) (topolo1664202871s_real X0)) at_top_nat)->((((filterlim_nat_nat ((comp_real_nat_nat F2) X2)) (topolo1564986139ds_nat A2)) at_top_nat)->((ord_less_eq_nat (F2 X0)) A2))))) of role axiom named fact_50_lsc__at__mem
% 0.52/0.75 A new axiom: (forall (X0:real) (F2:(real->nat)) (X2:(nat->real)) (A2:nat), (((lower_1664121382al_nat X0) F2)->((((filterlim_nat_real X2) (topolo1664202871s_real X0)) at_top_nat)->((((filterlim_nat_nat ((comp_real_nat_nat F2) X2)) (topolo1564986139ds_nat A2)) at_top_nat)->((ord_less_eq_nat (F2 X0)) A2)))))
% 0.52/0.75 FOF formula (forall (X0:real) (F2:(real->int)) (X2:(nat->real)) (A2:int), (((lower_153911426al_int X0) F2)->((((filterlim_nat_real X2) (topolo1664202871s_real X0)) at_top_nat)->((((filterlim_nat_int ((comp_real_int_nat F2) X2)) (topolo54776183ds_int A2)) at_top_nat)->((ord_less_eq_int (F2 X0)) A2))))) of role axiom named fact_51_lsc__at__mem
% 0.52/0.75 A new axiom: (forall (X0:real) (F2:(real->int)) (X2:(nat->real)) (A2:int), (((lower_153911426al_int X0) F2)->((((filterlim_nat_real X2) (topolo1664202871s_real X0)) at_top_nat)->((((filterlim_nat_int ((comp_real_int_nat F2) X2)) (topolo54776183ds_int A2)) at_top_nat)->((ord_less_eq_int (F2 X0)) A2)))))
% 0.52/0.75 FOF formula (forall (X0:real) (F2:(real->extended_ereal)) (X2:(nat->real)) (A2:extended_ereal), (((lower_551915512_ereal X0) F2)->((((filterlim_nat_real X2) (topolo1664202871s_real X0)) at_top_nat)->((((filter1531173832_ereal ((comp_r1410008527al_nat F2) X2)) (topolo2140997059_ereal A2)) at_top_nat)->((ord_le824540014_ereal (F2 X0)) A2))))) of role axiom named fact_52_lsc__at__mem
% 0.52/0.75 A new axiom: (forall (X0:real) (F2:(real->extended_ereal)) (X2:(nat->real)) (A2:extended_ereal), (((lower_551915512_ereal X0) F2)->((((filterlim_nat_real X2) (topolo1664202871s_real X0)) at_top_nat)->((((filter1531173832_ereal ((comp_r1410008527al_nat F2) X2)) (topolo2140997059_ereal A2)) at_top_nat)->((ord_le824540014_ereal (F2 X0)) A2)))))
% 0.52/0.75 FOF formula (((eq (extended_ereal->((extended_ereal->nat)->Prop))) lower_1558406774al_nat) (fun (X02:extended_ereal) (F3:(extended_ereal->nat))=> (forall (X4:(nat->extended_ereal)) (L2:nat), (((and (((filter1531173832_ereal X4) (topolo2140997059_ereal X02)) at_top_nat)) (((filterlim_nat_nat ((comp_E1523169101at_nat F3) X4)) (topolo1564986139ds_nat L2)) at_top_nat))->((ord_less_eq_nat (F3 X02)) L2))))) of role axiom named fact_53_lsc__at__def
% 0.52/0.75 A new axiom: (((eq (extended_ereal->((extended_ereal->nat)->Prop))) lower_1558406774al_nat) (fun (X02:extended_ereal) (F3:(extended_ereal->nat))=> (forall (X4:(nat->extended_ereal)) (L2:nat), (((and (((filter1531173832_ereal X4) (topolo2140997059_ereal X02)) at_top_nat)) (((filterlim_nat_nat ((comp_E1523169101at_nat F3) X4)) (topolo1564986139ds_nat L2)) at_top_nat))->((ord_less_eq_nat (F3 X02)) L2)))))
% 0.52/0.75 FOF formula (((eq (extended_ereal->((extended_ereal->int)->Prop))) lower_48196818al_int) (fun (X02:extended_ereal) (F3:(extended_ereal->int))=> (forall (X4:(nat->extended_ereal)) (L2:int), (((and (((filter1531173832_ereal X4) (topolo2140997059_ereal X02)) at_top_nat)) (((filterlim_nat_int ((comp_E1436437929nt_nat F3) X4)) (topolo54776183ds_int L2)) at_top_nat))->((ord_less_eq_int (F3 X02)) L2))))) of role axiom named fact_54_lsc__at__def
% 0.52/0.75 A new axiom: (((eq (extended_ereal->((extended_ereal->int)->Prop))) lower_48196818al_int) (fun (X02:extended_ereal) (F3:(extended_ereal->int))=> (forall (X4:(nat->extended_ereal)) (L2:int), (((and (((filter1531173832_ereal X4) (topolo2140997059_ereal X02)) at_top_nat)) (((filterlim_nat_int ((comp_E1436437929nt_nat F3) X4)) (topolo54776183ds_int L2)) at_top_nat))->((ord_less_eq_int (F3 X02)) L2)))))
% 0.52/0.75 FOF formula (((eq (extended_ereal->((extended_ereal->extended_ereal)->Prop))) lower_1087098792_ereal) (fun (X02:extended_ereal) (F3:(extended_ereal->extended_ereal))=> (forall (X4:(nat->extended_ereal)) (L2:extended_ereal), (((and (((filter1531173832_ereal X4) (topolo2140997059_ereal X02)) at_top_nat)) (((filter1531173832_ereal ((comp_E1308517939al_nat F3) X4)) (topolo2140997059_ereal L2)) at_top_nat))->((ord_le824540014_ereal (F3 X02)) L2))))) of role axiom named fact_55_lsc__at__def
% 0.60/0.76 A new axiom: (((eq (extended_ereal->((extended_ereal->extended_ereal)->Prop))) lower_1087098792_ereal) (fun (X02:extended_ereal) (F3:(extended_ereal->extended_ereal))=> (forall (X4:(nat->extended_ereal)) (L2:extended_ereal), (((and (((filter1531173832_ereal X4) (topolo2140997059_ereal X02)) at_top_nat)) (((filter1531173832_ereal ((comp_E1308517939al_nat F3) X4)) (topolo2140997059_ereal L2)) at_top_nat))->((ord_le824540014_ereal (F3 X02)) L2)))))
% 0.60/0.76 FOF formula (((eq (extended_ereal->((extended_ereal->real)->Prop))) lower_1165973074l_real) (fun (X02:extended_ereal) (F3:(extended_ereal->real))=> (forall (X4:(nat->extended_ereal)) (L2:real), (((and (((filter1531173832_ereal X4) (topolo2140997059_ereal X02)) at_top_nat)) (((filterlim_nat_real ((comp_E1477338153al_nat F3) X4)) (topolo1664202871s_real L2)) at_top_nat))->((ord_less_eq_real (F3 X02)) L2))))) of role axiom named fact_56_lsc__at__def
% 0.60/0.76 A new axiom: (((eq (extended_ereal->((extended_ereal->real)->Prop))) lower_1165973074l_real) (fun (X02:extended_ereal) (F3:(extended_ereal->real))=> (forall (X4:(nat->extended_ereal)) (L2:real), (((and (((filter1531173832_ereal X4) (topolo2140997059_ereal X02)) at_top_nat)) (((filterlim_nat_real ((comp_E1477338153al_nat F3) X4)) (topolo1664202871s_real L2)) at_top_nat))->((ord_less_eq_real (F3 X02)) L2)))))
% 0.60/0.76 FOF formula (((eq (a->((a->nat)->Prop))) lower_319689766_a_nat) (fun (X02:a) (F3:(a->nat))=> (forall (X4:(nat->a)) (L2:nat), (((and (((filterlim_nat_a X4) (topolo705128563nhds_a X02)) at_top_nat)) (((filterlim_nat_nat ((comp_a_nat_nat F3) X4)) (topolo1564986139ds_nat L2)) at_top_nat))->((ord_less_eq_nat (F3 X02)) L2))))) of role axiom named fact_57_lsc__at__def
% 0.60/0.76 A new axiom: (((eq (a->((a->nat)->Prop))) lower_319689766_a_nat) (fun (X02:a) (F3:(a->nat))=> (forall (X4:(nat->a)) (L2:nat), (((and (((filterlim_nat_a X4) (topolo705128563nhds_a X02)) at_top_nat)) (((filterlim_nat_nat ((comp_a_nat_nat F3) X4)) (topolo1564986139ds_nat L2)) at_top_nat))->((ord_less_eq_nat (F3 X02)) L2)))))
% 0.60/0.76 FOF formula (((eq (a->((a->int)->Prop))) lower_956963458_a_int) (fun (X02:a) (F3:(a->int))=> (forall (X4:(nat->a)) (L2:int), (((and (((filterlim_nat_a X4) (topolo705128563nhds_a X02)) at_top_nat)) (((filterlim_nat_int ((comp_a_int_nat F3) X4)) (topolo54776183ds_int L2)) at_top_nat))->((ord_less_eq_int (F3 X02)) L2))))) of role axiom named fact_58_lsc__at__def
% 0.60/0.76 A new axiom: (((eq (a->((a->int)->Prop))) lower_956963458_a_int) (fun (X02:a) (F3:(a->int))=> (forall (X4:(nat->a)) (L2:int), (((and (((filterlim_nat_a X4) (topolo705128563nhds_a X02)) at_top_nat)) (((filterlim_nat_int ((comp_a_int_nat F3) X4)) (topolo54776183ds_int L2)) at_top_nat))->((ord_less_eq_int (F3 X02)) L2)))))
% 0.60/0.76 FOF formula (((eq (a->((a->real)->Prop))) lower_231615490a_real) (fun (X02:a) (F3:(a->real))=> (forall (X4:(nat->a)) (L2:real), (((and (((filterlim_nat_a X4) (topolo705128563nhds_a X02)) at_top_nat)) (((filterlim_nat_real ((comp_a_real_nat F3) X4)) (topolo1664202871s_real L2)) at_top_nat))->((ord_less_eq_real (F3 X02)) L2))))) of role axiom named fact_59_lsc__at__def
% 0.60/0.76 A new axiom: (((eq (a->((a->real)->Prop))) lower_231615490a_real) (fun (X02:a) (F3:(a->real))=> (forall (X4:(nat->a)) (L2:real), (((and (((filterlim_nat_a X4) (topolo705128563nhds_a X02)) at_top_nat)) (((filterlim_nat_real ((comp_a_real_nat F3) X4)) (topolo1664202871s_real L2)) at_top_nat))->((ord_less_eq_real (F3 X02)) L2)))))
% 0.60/0.76 FOF formula (((eq (real->((real->nat)->Prop))) lower_1664121382al_nat) (fun (X02:real) (F3:(real->nat))=> (forall (X4:(nat->real)) (L2:nat), (((and (((filterlim_nat_real X4) (topolo1664202871s_real X02)) at_top_nat)) (((filterlim_nat_nat ((comp_real_nat_nat F3) X4)) (topolo1564986139ds_nat L2)) at_top_nat))->((ord_less_eq_nat (F3 X02)) L2))))) of role axiom named fact_60_lsc__at__def
% 0.60/0.76 A new axiom: (((eq (real->((real->nat)->Prop))) lower_1664121382al_nat) (fun (X02:real) (F3:(real->nat))=> (forall (X4:(nat->real)) (L2:nat), (((and (((filterlim_nat_real X4) (topolo1664202871s_real X02)) at_top_nat)) (((filterlim_nat_nat ((comp_real_nat_nat F3) X4)) (topolo1564986139ds_nat L2)) at_top_nat))->((ord_less_eq_nat (F3 X02)) L2)))))
% 0.61/0.77 FOF formula (((eq (real->((real->int)->Prop))) lower_153911426al_int) (fun (X02:real) (F3:(real->int))=> (forall (X4:(nat->real)) (L2:int), (((and (((filterlim_nat_real X4) (topolo1664202871s_real X02)) at_top_nat)) (((filterlim_nat_int ((comp_real_int_nat F3) X4)) (topolo54776183ds_int L2)) at_top_nat))->((ord_less_eq_int (F3 X02)) L2))))) of role axiom named fact_61_lsc__at__def
% 0.61/0.77 A new axiom: (((eq (real->((real->int)->Prop))) lower_153911426al_int) (fun (X02:real) (F3:(real->int))=> (forall (X4:(nat->real)) (L2:int), (((and (((filterlim_nat_real X4) (topolo1664202871s_real X02)) at_top_nat)) (((filterlim_nat_int ((comp_real_int_nat F3) X4)) (topolo54776183ds_int L2)) at_top_nat))->((ord_less_eq_int (F3 X02)) L2)))))
% 0.61/0.77 FOF formula (((eq (real->((real->extended_ereal)->Prop))) lower_551915512_ereal) (fun (X02:real) (F3:(real->extended_ereal))=> (forall (X4:(nat->real)) (L2:extended_ereal), (((and (((filterlim_nat_real X4) (topolo1664202871s_real X02)) at_top_nat)) (((filter1531173832_ereal ((comp_r1410008527al_nat F3) X4)) (topolo2140997059_ereal L2)) at_top_nat))->((ord_le824540014_ereal (F3 X02)) L2))))) of role axiom named fact_62_lsc__at__def
% 0.61/0.77 A new axiom: (((eq (real->((real->extended_ereal)->Prop))) lower_551915512_ereal) (fun (X02:real) (F3:(real->extended_ereal))=> (forall (X4:(nat->real)) (L2:extended_ereal), (((and (((filterlim_nat_real X4) (topolo1664202871s_real X02)) at_top_nat)) (((filter1531173832_ereal ((comp_r1410008527al_nat F3) X4)) (topolo2140997059_ereal L2)) at_top_nat))->((ord_le824540014_ereal (F3 X02)) L2)))))
% 0.61/0.77 FOF formula (forall (B:real) (A:real), (((eq Prop) ((ord_less_eq_real (uminus_uminus_real B)) (uminus_uminus_real A))) ((ord_less_eq_real A) B))) of role axiom named fact_63_neg__le__iff__le
% 0.61/0.77 A new axiom: (forall (B:real) (A:real), (((eq Prop) ((ord_less_eq_real (uminus_uminus_real B)) (uminus_uminus_real A))) ((ord_less_eq_real A) B)))
% 0.61/0.77 FOF formula (forall (B:int) (A:int), (((eq Prop) ((ord_less_eq_int (uminus_uminus_int B)) (uminus_uminus_int A))) ((ord_less_eq_int A) B))) of role axiom named fact_64_neg__le__iff__le
% 0.61/0.77 A new axiom: (forall (B:int) (A:int), (((eq Prop) ((ord_less_eq_int (uminus_uminus_int B)) (uminus_uminus_int A))) ((ord_less_eq_int A) B)))
% 0.61/0.77 FOF formula (forall (A:extended_ereal) (B:extended_ereal), (((eq Prop) ((ord_le824540014_ereal (uminus1208298309_ereal A)) (uminus1208298309_ereal B))) ((ord_le824540014_ereal B) A))) of role axiom named fact_65_ereal__minus__le__minus
% 0.61/0.77 A new axiom: (forall (A:extended_ereal) (B:extended_ereal), (((eq Prop) ((ord_le824540014_ereal (uminus1208298309_ereal A)) (uminus1208298309_ereal B))) ((ord_le824540014_ereal B) A)))
% 0.61/0.77 FOF formula (forall (A:extended_ereal) (B:extended_ereal), ((or ((or (((eq extended_ereal) A) B)) (((ord_le824540014_ereal A) B)->False))) (((ord_le824540014_ereal B) A)->False))) of role axiom named fact_66_verit__la__disequality
% 0.61/0.77 A new axiom: (forall (A:extended_ereal) (B:extended_ereal), ((or ((or (((eq extended_ereal) A) B)) (((ord_le824540014_ereal A) B)->False))) (((ord_le824540014_ereal B) A)->False)))
% 0.61/0.77 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_67_verit__la__disequality
% 0.61/0.77 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)))
% 0.61/0.77 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_68_verit__la__disequality
% 0.61/0.77 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)))
% 0.61/0.77 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_69_verit__la__disequality
% 0.61/0.78 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)))
% 0.61/0.78 FOF formula (forall (S:set_Extended_ereal), ((ex extended_ereal) (fun (X5:extended_ereal)=> ((and (forall (Xa:extended_ereal), (((member1900190071_ereal Xa) S)->((ord_le824540014_ereal X5) Xa)))) (forall (Z:extended_ereal), ((forall (Xa2:extended_ereal), (((member1900190071_ereal Xa2) S)->((ord_le824540014_ereal Z) Xa2)))->((ord_le824540014_ereal Z) X5))))))) of role axiom named fact_70_ereal__complete__Inf
% 0.61/0.78 A new axiom: (forall (S:set_Extended_ereal), ((ex extended_ereal) (fun (X5:extended_ereal)=> ((and (forall (Xa:extended_ereal), (((member1900190071_ereal Xa) S)->((ord_le824540014_ereal X5) Xa)))) (forall (Z:extended_ereal), ((forall (Xa2:extended_ereal), (((member1900190071_ereal Xa2) S)->((ord_le824540014_ereal Z) Xa2)))->((ord_le824540014_ereal Z) X5)))))))
% 0.61/0.78 FOF formula (forall (S:set_Extended_ereal), ((ex extended_ereal) (fun (X5:extended_ereal)=> ((and (forall (Xa:extended_ereal), (((member1900190071_ereal Xa) S)->((ord_le824540014_ereal Xa) X5)))) (forall (Z:extended_ereal), ((forall (Xa2:extended_ereal), (((member1900190071_ereal Xa2) S)->((ord_le824540014_ereal Xa2) Z)))->((ord_le824540014_ereal X5) Z))))))) of role axiom named fact_71_ereal__complete__Sup
% 0.61/0.78 A new axiom: (forall (S:set_Extended_ereal), ((ex extended_ereal) (fun (X5:extended_ereal)=> ((and (forall (Xa:extended_ereal), (((member1900190071_ereal Xa) S)->((ord_le824540014_ereal Xa) X5)))) (forall (Z:extended_ereal), ((forall (Xa2:extended_ereal), (((member1900190071_ereal Xa2) S)->((ord_le824540014_ereal Xa2) Z)))->((ord_le824540014_ereal X5) Z)))))))
% 0.61/0.78 FOF formula (forall (A:real) (B:real), (((eq Prop) ((ord_less_eq_real A) (uminus_uminus_real B))) ((ord_less_eq_real B) (uminus_uminus_real A)))) of role axiom named fact_72_le__minus__iff
% 0.61/0.78 A new axiom: (forall (A:real) (B:real), (((eq Prop) ((ord_less_eq_real A) (uminus_uminus_real B))) ((ord_less_eq_real B) (uminus_uminus_real A))))
% 0.61/0.78 FOF formula (forall (A:int) (B:int), (((eq Prop) ((ord_less_eq_int A) (uminus_uminus_int B))) ((ord_less_eq_int B) (uminus_uminus_int A)))) of role axiom named fact_73_le__minus__iff
% 0.61/0.78 A new axiom: (forall (A:int) (B:int), (((eq Prop) ((ord_less_eq_int A) (uminus_uminus_int B))) ((ord_less_eq_int B) (uminus_uminus_int A))))
% 0.61/0.78 FOF formula (forall (A:real) (B:real), (((eq Prop) ((ord_less_eq_real (uminus_uminus_real A)) B)) ((ord_less_eq_real (uminus_uminus_real B)) A))) of role axiom named fact_74_minus__le__iff
% 0.61/0.78 A new axiom: (forall (A:real) (B:real), (((eq Prop) ((ord_less_eq_real (uminus_uminus_real A)) B)) ((ord_less_eq_real (uminus_uminus_real B)) A)))
% 0.61/0.78 FOF formula (forall (A:int) (B:int), (((eq Prop) ((ord_less_eq_int (uminus_uminus_int A)) B)) ((ord_less_eq_int (uminus_uminus_int B)) A))) of role axiom named fact_75_minus__le__iff
% 0.61/0.78 A new axiom: (forall (A:int) (B:int), (((eq Prop) ((ord_less_eq_int (uminus_uminus_int A)) B)) ((ord_less_eq_int (uminus_uminus_int B)) A)))
% 0.61/0.78 FOF formula (forall (A:real) (B:real), (((ord_less_eq_real A) B)->((ord_less_eq_real (uminus_uminus_real B)) (uminus_uminus_real A)))) of role axiom named fact_76_le__imp__neg__le
% 0.61/0.78 A new axiom: (forall (A:real) (B:real), (((ord_less_eq_real A) B)->((ord_less_eq_real (uminus_uminus_real B)) (uminus_uminus_real A))))
% 0.61/0.78 FOF formula (forall (A:int) (B:int), (((ord_less_eq_int A) B)->((ord_less_eq_int (uminus_uminus_int B)) (uminus_uminus_int A)))) of role axiom named fact_77_le__imp__neg__le
% 0.61/0.78 A new axiom: (forall (A:int) (B:int), (((ord_less_eq_int A) B)->((ord_less_eq_int (uminus_uminus_int B)) (uminus_uminus_int A))))
% 0.61/0.78 FOF formula (forall (A:extended_ereal) (B:extended_ereal), (((eq Prop) ((ord_le824540014_ereal (uminus1208298309_ereal A)) B)) ((ord_le824540014_ereal (uminus1208298309_ereal B)) A))) of role axiom named fact_78_ereal__uminus__le__reorder
% 0.61/0.78 A new axiom: (forall (A:extended_ereal) (B:extended_ereal), (((eq Prop) ((ord_le824540014_ereal (uminus1208298309_ereal A)) B)) ((ord_le824540014_ereal (uminus1208298309_ereal B)) A)))
% 0.61/0.80 FOF formula (forall (N3:nat) (X3:(nat->nat)) (Y2:(nat->nat)) (X2:nat) (Y:nat), ((forall (N2:nat), (((ord_less_eq_nat N3) N2)->((ord_less_eq_nat (X3 N2)) (Y2 N2))))->((((filterlim_nat_nat X3) (topolo1564986139ds_nat X2)) at_top_nat)->((((filterlim_nat_nat Y2) (topolo1564986139ds_nat Y)) at_top_nat)->((ord_less_eq_nat X2) Y))))) of role axiom named fact_79_lim__mono
% 0.61/0.80 A new axiom: (forall (N3:nat) (X3:(nat->nat)) (Y2:(nat->nat)) (X2:nat) (Y:nat), ((forall (N2:nat), (((ord_less_eq_nat N3) N2)->((ord_less_eq_nat (X3 N2)) (Y2 N2))))->((((filterlim_nat_nat X3) (topolo1564986139ds_nat X2)) at_top_nat)->((((filterlim_nat_nat Y2) (topolo1564986139ds_nat Y)) at_top_nat)->((ord_less_eq_nat X2) Y)))))
% 0.61/0.80 FOF formula (forall (N3:nat) (X3:(nat->int)) (Y2:(nat->int)) (X2:int) (Y:int), ((forall (N2:nat), (((ord_less_eq_nat N3) N2)->((ord_less_eq_int (X3 N2)) (Y2 N2))))->((((filterlim_nat_int X3) (topolo54776183ds_int X2)) at_top_nat)->((((filterlim_nat_int Y2) (topolo54776183ds_int Y)) at_top_nat)->((ord_less_eq_int X2) Y))))) of role axiom named fact_80_lim__mono
% 0.61/0.80 A new axiom: (forall (N3:nat) (X3:(nat->int)) (Y2:(nat->int)) (X2:int) (Y:int), ((forall (N2:nat), (((ord_less_eq_nat N3) N2)->((ord_less_eq_int (X3 N2)) (Y2 N2))))->((((filterlim_nat_int X3) (topolo54776183ds_int X2)) at_top_nat)->((((filterlim_nat_int Y2) (topolo54776183ds_int Y)) at_top_nat)->((ord_less_eq_int X2) Y)))))
% 0.61/0.80 FOF formula (forall (N3:nat) (X3:(nat->extended_ereal)) (Y2:(nat->extended_ereal)) (X2:extended_ereal) (Y:extended_ereal), ((forall (N2:nat), (((ord_less_eq_nat N3) N2)->((ord_le824540014_ereal (X3 N2)) (Y2 N2))))->((((filter1531173832_ereal X3) (topolo2140997059_ereal X2)) at_top_nat)->((((filter1531173832_ereal Y2) (topolo2140997059_ereal Y)) at_top_nat)->((ord_le824540014_ereal X2) Y))))) of role axiom named fact_81_lim__mono
% 0.61/0.80 A new axiom: (forall (N3:nat) (X3:(nat->extended_ereal)) (Y2:(nat->extended_ereal)) (X2:extended_ereal) (Y:extended_ereal), ((forall (N2:nat), (((ord_less_eq_nat N3) N2)->((ord_le824540014_ereal (X3 N2)) (Y2 N2))))->((((filter1531173832_ereal X3) (topolo2140997059_ereal X2)) at_top_nat)->((((filter1531173832_ereal Y2) (topolo2140997059_ereal Y)) at_top_nat)->((ord_le824540014_ereal X2) Y)))))
% 0.61/0.80 FOF formula (forall (N3:nat) (X3:(nat->real)) (Y2:(nat->real)) (X2:real) (Y:real), ((forall (N2:nat), (((ord_less_eq_nat N3) N2)->((ord_less_eq_real (X3 N2)) (Y2 N2))))->((((filterlim_nat_real X3) (topolo1664202871s_real X2)) at_top_nat)->((((filterlim_nat_real Y2) (topolo1664202871s_real Y)) at_top_nat)->((ord_less_eq_real X2) Y))))) of role axiom named fact_82_lim__mono
% 0.61/0.80 A new axiom: (forall (N3:nat) (X3:(nat->real)) (Y2:(nat->real)) (X2:real) (Y:real), ((forall (N2:nat), (((ord_less_eq_nat N3) N2)->((ord_less_eq_real (X3 N2)) (Y2 N2))))->((((filterlim_nat_real X3) (topolo1664202871s_real X2)) at_top_nat)->((((filterlim_nat_real Y2) (topolo1664202871s_real Y)) at_top_nat)->((ord_less_eq_real X2) Y)))))
% 0.61/0.80 FOF formula (forall (X3:(nat->nat)) (X2:nat) (Y2:(nat->nat)) (Y:nat), ((((filterlim_nat_nat X3) (topolo1564986139ds_nat X2)) at_top_nat)->((((filterlim_nat_nat Y2) (topolo1564986139ds_nat Y)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_less_eq_nat (X3 N2)) (Y2 N2))))))->((ord_less_eq_nat X2) Y))))) of role axiom named fact_83_LIMSEQ__le
% 0.61/0.80 A new axiom: (forall (X3:(nat->nat)) (X2:nat) (Y2:(nat->nat)) (Y:nat), ((((filterlim_nat_nat X3) (topolo1564986139ds_nat X2)) at_top_nat)->((((filterlim_nat_nat Y2) (topolo1564986139ds_nat Y)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_less_eq_nat (X3 N2)) (Y2 N2))))))->((ord_less_eq_nat X2) Y)))))
% 0.61/0.80 FOF formula (forall (X3:(nat->int)) (X2:int) (Y2:(nat->int)) (Y:int), ((((filterlim_nat_int X3) (topolo54776183ds_int X2)) at_top_nat)->((((filterlim_nat_int Y2) (topolo54776183ds_int Y)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_less_eq_int (X3 N2)) (Y2 N2))))))->((ord_less_eq_int X2) Y))))) of role axiom named fact_84_LIMSEQ__le
% 0.61/0.80 A new axiom: (forall (X3:(nat->int)) (X2:int) (Y2:(nat->int)) (Y:int), ((((filterlim_nat_int X3) (topolo54776183ds_int X2)) at_top_nat)->((((filterlim_nat_int Y2) (topolo54776183ds_int Y)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_less_eq_int (X3 N2)) (Y2 N2))))))->((ord_less_eq_int X2) Y)))))
% 0.65/0.81 FOF formula (forall (X3:(nat->extended_ereal)) (X2:extended_ereal) (Y2:(nat->extended_ereal)) (Y:extended_ereal), ((((filter1531173832_ereal X3) (topolo2140997059_ereal X2)) at_top_nat)->((((filter1531173832_ereal Y2) (topolo2140997059_ereal Y)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_le824540014_ereal (X3 N2)) (Y2 N2))))))->((ord_le824540014_ereal X2) Y))))) of role axiom named fact_85_LIMSEQ__le
% 0.65/0.81 A new axiom: (forall (X3:(nat->extended_ereal)) (X2:extended_ereal) (Y2:(nat->extended_ereal)) (Y:extended_ereal), ((((filter1531173832_ereal X3) (topolo2140997059_ereal X2)) at_top_nat)->((((filter1531173832_ereal Y2) (topolo2140997059_ereal Y)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_le824540014_ereal (X3 N2)) (Y2 N2))))))->((ord_le824540014_ereal X2) Y)))))
% 0.65/0.81 FOF formula (forall (X3:(nat->real)) (X2:real) (Y2:(nat->real)) (Y:real), ((((filterlim_nat_real X3) (topolo1664202871s_real X2)) at_top_nat)->((((filterlim_nat_real Y2) (topolo1664202871s_real Y)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_less_eq_real (X3 N2)) (Y2 N2))))))->((ord_less_eq_real X2) Y))))) of role axiom named fact_86_LIMSEQ__le
% 0.65/0.81 A new axiom: (forall (X3:(nat->real)) (X2:real) (Y2:(nat->real)) (Y:real), ((((filterlim_nat_real X3) (topolo1664202871s_real X2)) at_top_nat)->((((filterlim_nat_real Y2) (topolo1664202871s_real Y)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_less_eq_real (X3 N2)) (Y2 N2))))))->((ord_less_eq_real X2) Y)))))
% 0.65/0.81 FOF formula (forall (A:real) (P:(real->Prop)), (((eq Prop) ((member_real A) (collect_real P))) (P A))) of role axiom named fact_87_mem__Collect__eq
% 0.65/0.81 A new axiom: (forall (A:real) (P:(real->Prop)), (((eq Prop) ((member_real A) (collect_real P))) (P A)))
% 0.65/0.81 FOF formula (forall (A2:set_real), (((eq set_real) (collect_real (fun (X:real)=> ((member_real X) A2)))) A2)) of role axiom named fact_88_Collect__mem__eq
% 0.65/0.81 A new axiom: (forall (A2:set_real), (((eq set_real) (collect_real (fun (X:real)=> ((member_real X) A2)))) A2))
% 0.65/0.81 FOF formula (forall (P:(real->Prop)) (Q:(real->Prop)), ((forall (X5:real), (((eq Prop) (P X5)) (Q X5)))->(((eq set_real) (collect_real P)) (collect_real Q)))) of role axiom named fact_89_Collect__cong
% 0.65/0.81 A new axiom: (forall (P:(real->Prop)) (Q:(real->Prop)), ((forall (X5:real), (((eq Prop) (P X5)) (Q X5)))->(((eq set_real) (collect_real P)) (collect_real Q))))
% 0.65/0.81 FOF formula (forall (F2:(nat->nat)) (L:nat) (M:nat) (C3:nat), ((((filterlim_nat_nat F2) (topolo1564986139ds_nat L)) at_top_nat)->((forall (N2:nat), (((ord_less_eq_nat M) N2)->((ord_less_eq_nat (F2 N2)) C3)))->((ord_less_eq_nat L) C3)))) of role axiom named fact_90_Lim__bounded
% 0.65/0.81 A new axiom: (forall (F2:(nat->nat)) (L:nat) (M:nat) (C3:nat), ((((filterlim_nat_nat F2) (topolo1564986139ds_nat L)) at_top_nat)->((forall (N2:nat), (((ord_less_eq_nat M) N2)->((ord_less_eq_nat (F2 N2)) C3)))->((ord_less_eq_nat L) C3))))
% 0.65/0.81 FOF formula (forall (F2:(nat->int)) (L:int) (M:nat) (C3:int), ((((filterlim_nat_int F2) (topolo54776183ds_int L)) at_top_nat)->((forall (N2:nat), (((ord_less_eq_nat M) N2)->((ord_less_eq_int (F2 N2)) C3)))->((ord_less_eq_int L) C3)))) of role axiom named fact_91_Lim__bounded
% 0.65/0.81 A new axiom: (forall (F2:(nat->int)) (L:int) (M:nat) (C3:int), ((((filterlim_nat_int F2) (topolo54776183ds_int L)) at_top_nat)->((forall (N2:nat), (((ord_less_eq_nat M) N2)->((ord_less_eq_int (F2 N2)) C3)))->((ord_less_eq_int L) C3))))
% 0.65/0.81 FOF formula (forall (F2:(nat->extended_ereal)) (L:extended_ereal) (M:nat) (C3:extended_ereal), ((((filter1531173832_ereal F2) (topolo2140997059_ereal L)) at_top_nat)->((forall (N2:nat), (((ord_less_eq_nat M) N2)->((ord_le824540014_ereal (F2 N2)) C3)))->((ord_le824540014_ereal L) C3)))) of role axiom named fact_92_Lim__bounded
% 0.65/0.83 A new axiom: (forall (F2:(nat->extended_ereal)) (L:extended_ereal) (M:nat) (C3:extended_ereal), ((((filter1531173832_ereal F2) (topolo2140997059_ereal L)) at_top_nat)->((forall (N2:nat), (((ord_less_eq_nat M) N2)->((ord_le824540014_ereal (F2 N2)) C3)))->((ord_le824540014_ereal L) C3))))
% 0.65/0.83 FOF formula (forall (F2:(nat->real)) (L:real) (M:nat) (C3:real), ((((filterlim_nat_real F2) (topolo1664202871s_real L)) at_top_nat)->((forall (N2:nat), (((ord_less_eq_nat M) N2)->((ord_less_eq_real (F2 N2)) C3)))->((ord_less_eq_real L) C3)))) of role axiom named fact_93_Lim__bounded
% 0.65/0.83 A new axiom: (forall (F2:(nat->real)) (L:real) (M:nat) (C3:real), ((((filterlim_nat_real F2) (topolo1664202871s_real L)) at_top_nat)->((forall (N2:nat), (((ord_less_eq_nat M) N2)->((ord_less_eq_real (F2 N2)) C3)))->((ord_less_eq_real L) C3))))
% 0.65/0.83 FOF formula (forall (F2:(nat->nat)) (L:nat) (N3:nat) (C3:nat), ((((filterlim_nat_nat F2) (topolo1564986139ds_nat L)) at_top_nat)->((forall (N2:nat), (((ord_less_eq_nat N3) N2)->((ord_less_eq_nat C3) (F2 N2))))->((ord_less_eq_nat C3) L)))) of role axiom named fact_94_Lim__bounded2
% 0.65/0.83 A new axiom: (forall (F2:(nat->nat)) (L:nat) (N3:nat) (C3:nat), ((((filterlim_nat_nat F2) (topolo1564986139ds_nat L)) at_top_nat)->((forall (N2:nat), (((ord_less_eq_nat N3) N2)->((ord_less_eq_nat C3) (F2 N2))))->((ord_less_eq_nat C3) L))))
% 0.65/0.83 FOF formula (forall (F2:(nat->int)) (L:int) (N3:nat) (C3:int), ((((filterlim_nat_int F2) (topolo54776183ds_int L)) at_top_nat)->((forall (N2:nat), (((ord_less_eq_nat N3) N2)->((ord_less_eq_int C3) (F2 N2))))->((ord_less_eq_int C3) L)))) of role axiom named fact_95_Lim__bounded2
% 0.65/0.83 A new axiom: (forall (F2:(nat->int)) (L:int) (N3:nat) (C3:int), ((((filterlim_nat_int F2) (topolo54776183ds_int L)) at_top_nat)->((forall (N2:nat), (((ord_less_eq_nat N3) N2)->((ord_less_eq_int C3) (F2 N2))))->((ord_less_eq_int C3) L))))
% 0.65/0.83 FOF formula (forall (F2:(nat->extended_ereal)) (L:extended_ereal) (N3:nat) (C3:extended_ereal), ((((filter1531173832_ereal F2) (topolo2140997059_ereal L)) at_top_nat)->((forall (N2:nat), (((ord_less_eq_nat N3) N2)->((ord_le824540014_ereal C3) (F2 N2))))->((ord_le824540014_ereal C3) L)))) of role axiom named fact_96_Lim__bounded2
% 0.65/0.83 A new axiom: (forall (F2:(nat->extended_ereal)) (L:extended_ereal) (N3:nat) (C3:extended_ereal), ((((filter1531173832_ereal F2) (topolo2140997059_ereal L)) at_top_nat)->((forall (N2:nat), (((ord_less_eq_nat N3) N2)->((ord_le824540014_ereal C3) (F2 N2))))->((ord_le824540014_ereal C3) L))))
% 0.65/0.83 FOF formula (forall (F2:(nat->real)) (L:real) (N3:nat) (C3:real), ((((filterlim_nat_real F2) (topolo1664202871s_real L)) at_top_nat)->((forall (N2:nat), (((ord_less_eq_nat N3) N2)->((ord_less_eq_real C3) (F2 N2))))->((ord_less_eq_real C3) L)))) of role axiom named fact_97_Lim__bounded2
% 0.65/0.83 A new axiom: (forall (F2:(nat->real)) (L:real) (N3:nat) (C3:real), ((((filterlim_nat_real F2) (topolo1664202871s_real L)) at_top_nat)->((forall (N2:nat), (((ord_less_eq_nat N3) N2)->((ord_less_eq_real C3) (F2 N2))))->((ord_less_eq_real C3) L))))
% 0.65/0.83 FOF formula (forall (X3:(nat->nat)) (X2:nat) (A:nat), ((((filterlim_nat_nat X3) (topolo1564986139ds_nat X2)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_less_eq_nat A) (X3 N2))))))->((ord_less_eq_nat A) X2)))) of role axiom named fact_98_LIMSEQ__le__const
% 0.65/0.83 A new axiom: (forall (X3:(nat->nat)) (X2:nat) (A:nat), ((((filterlim_nat_nat X3) (topolo1564986139ds_nat X2)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_less_eq_nat A) (X3 N2))))))->((ord_less_eq_nat A) X2))))
% 0.65/0.83 FOF formula (forall (X3:(nat->int)) (X2:int) (A:int), ((((filterlim_nat_int X3) (topolo54776183ds_int X2)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_less_eq_int A) (X3 N2))))))->((ord_less_eq_int A) X2)))) of role axiom named fact_99_LIMSEQ__le__const
% 0.65/0.83 A new axiom: (forall (X3:(nat->int)) (X2:int) (A:int), ((((filterlim_nat_int X3) (topolo54776183ds_int X2)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_less_eq_int A) (X3 N2))))))->((ord_less_eq_int A) X2))))
% 0.65/0.84 FOF formula (forall (X3:(nat->extended_ereal)) (X2:extended_ereal) (A:extended_ereal), ((((filter1531173832_ereal X3) (topolo2140997059_ereal X2)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_le824540014_ereal A) (X3 N2))))))->((ord_le824540014_ereal A) X2)))) of role axiom named fact_100_LIMSEQ__le__const
% 0.65/0.84 A new axiom: (forall (X3:(nat->extended_ereal)) (X2:extended_ereal) (A:extended_ereal), ((((filter1531173832_ereal X3) (topolo2140997059_ereal X2)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_le824540014_ereal A) (X3 N2))))))->((ord_le824540014_ereal A) X2))))
% 0.65/0.84 FOF formula (forall (X3:(nat->real)) (X2:real) (A:real), ((((filterlim_nat_real X3) (topolo1664202871s_real X2)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_less_eq_real A) (X3 N2))))))->((ord_less_eq_real A) X2)))) of role axiom named fact_101_LIMSEQ__le__const
% 0.65/0.84 A new axiom: (forall (X3:(nat->real)) (X2:real) (A:real), ((((filterlim_nat_real X3) (topolo1664202871s_real X2)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_less_eq_real A) (X3 N2))))))->((ord_less_eq_real A) X2))))
% 0.65/0.84 FOF formula (forall (X3:(nat->nat)) (X2:nat) (A:nat), ((((filterlim_nat_nat X3) (topolo1564986139ds_nat X2)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_less_eq_nat (X3 N2)) A)))))->((ord_less_eq_nat X2) A)))) of role axiom named fact_102_LIMSEQ__le__const2
% 0.65/0.84 A new axiom: (forall (X3:(nat->nat)) (X2:nat) (A:nat), ((((filterlim_nat_nat X3) (topolo1564986139ds_nat X2)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_less_eq_nat (X3 N2)) A)))))->((ord_less_eq_nat X2) A))))
% 0.65/0.84 FOF formula (forall (X3:(nat->int)) (X2:int) (A:int), ((((filterlim_nat_int X3) (topolo54776183ds_int X2)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_less_eq_int (X3 N2)) A)))))->((ord_less_eq_int X2) A)))) of role axiom named fact_103_LIMSEQ__le__const2
% 0.65/0.84 A new axiom: (forall (X3:(nat->int)) (X2:int) (A:int), ((((filterlim_nat_int X3) (topolo54776183ds_int X2)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_less_eq_int (X3 N2)) A)))))->((ord_less_eq_int X2) A))))
% 0.65/0.84 FOF formula (forall (X3:(nat->extended_ereal)) (X2:extended_ereal) (A:extended_ereal), ((((filter1531173832_ereal X3) (topolo2140997059_ereal X2)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_le824540014_ereal (X3 N2)) A)))))->((ord_le824540014_ereal X2) A)))) of role axiom named fact_104_LIMSEQ__le__const2
% 0.65/0.84 A new axiom: (forall (X3:(nat->extended_ereal)) (X2:extended_ereal) (A:extended_ereal), ((((filter1531173832_ereal X3) (topolo2140997059_ereal X2)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_le824540014_ereal (X3 N2)) A)))))->((ord_le824540014_ereal X2) A))))
% 0.65/0.84 FOF formula (forall (X3:(nat->real)) (X2:real) (A:real), ((((filterlim_nat_real X3) (topolo1664202871s_real X2)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_less_eq_real (X3 N2)) A)))))->((ord_less_eq_real X2) A)))) of role axiom named fact_105_LIMSEQ__le__const2
% 0.65/0.84 A new axiom: (forall (X3:(nat->real)) (X2:real) (A:real), ((((filterlim_nat_real X3) (topolo1664202871s_real X2)) at_top_nat)->(((ex nat) (fun (N4:nat)=> (forall (N2:nat), (((ord_less_eq_nat N4) N2)->((ord_less_eq_real (X3 N2)) A)))))->((ord_less_eq_real X2) A))))
% 0.65/0.84 FOF formula (forall (F:filter_nat) (F4:filter_nat) (F2:(nat->extended_ereal)) (L:extended_ereal), (((ord_le1745708096er_nat F) F4)->((((filter1531173832_ereal F2) (topolo2140997059_ereal L)) F4)->(((filter1531173832_ereal F2) (topolo2140997059_ereal L)) F)))) of role axiom named fact_106_tendsto__mono
% 0.65/0.84 A new axiom: (forall (F:filter_nat) (F4:filter_nat) (F2:(nat->extended_ereal)) (L:extended_ereal), (((ord_le1745708096er_nat F) F4)->((((filter1531173832_ereal F2) (topolo2140997059_ereal L)) F4)->(((filter1531173832_ereal F2) (topolo2140997059_ereal L)) F))))
% 0.69/0.85 FOF formula (forall (F:filter_nat) (F4:filter_nat) (F2:(nat->a)) (L:a), (((ord_le1745708096er_nat F) F4)->((((filterlim_nat_a F2) (topolo705128563nhds_a L)) F4)->(((filterlim_nat_a F2) (topolo705128563nhds_a L)) F)))) of role axiom named fact_107_tendsto__mono
% 0.69/0.85 A new axiom: (forall (F:filter_nat) (F4:filter_nat) (F2:(nat->a)) (L:a), (((ord_le1745708096er_nat F) F4)->((((filterlim_nat_a F2) (topolo705128563nhds_a L)) F4)->(((filterlim_nat_a F2) (topolo705128563nhds_a L)) F))))
% 0.69/0.85 FOF formula (forall (F:filter_real) (F4:filter_real) (F2:(real->real)) (L:real), (((ord_le132810396r_real F) F4)->((((filterlim_real_real F2) (topolo1664202871s_real L)) F4)->(((filterlim_real_real F2) (topolo1664202871s_real L)) F)))) of role axiom named fact_108_tendsto__mono
% 0.69/0.85 A new axiom: (forall (F:filter_real) (F4:filter_real) (F2:(real->real)) (L:real), (((ord_le132810396r_real F) F4)->((((filterlim_real_real F2) (topolo1664202871s_real L)) F4)->(((filterlim_real_real F2) (topolo1664202871s_real L)) F))))
% 0.69/0.85 FOF formula (forall (F:filter_nat) (F4:filter_nat) (F2:(nat->real)) (L:real), (((ord_le1745708096er_nat F) F4)->((((filterlim_nat_real F2) (topolo1664202871s_real L)) F4)->(((filterlim_nat_real F2) (topolo1664202871s_real L)) F)))) of role axiom named fact_109_tendsto__mono
% 0.69/0.85 A new axiom: (forall (F:filter_nat) (F4:filter_nat) (F2:(nat->real)) (L:real), (((ord_le1745708096er_nat F) F4)->((((filterlim_nat_real F2) (topolo1664202871s_real L)) F4)->(((filterlim_nat_real F2) (topolo1664202871s_real L)) F))))
% 0.69/0.85 FOF formula (forall (A:real) (B:real), (((eq Prop) (((eq real) A) (uminus_uminus_real B))) (((eq real) B) (uminus_uminus_real A)))) of role axiom named fact_110_equation__minus__iff
% 0.69/0.85 A new axiom: (forall (A:real) (B:real), (((eq Prop) (((eq real) A) (uminus_uminus_real B))) (((eq real) B) (uminus_uminus_real A))))
% 0.69/0.85 FOF formula (forall (A:real) (B:real), (((eq Prop) (((eq real) (uminus_uminus_real A)) B)) (((eq real) (uminus_uminus_real B)) A))) of role axiom named fact_111_minus__equation__iff
% 0.69/0.85 A new axiom: (forall (A:real) (B:real), (((eq Prop) (((eq real) (uminus_uminus_real A)) B)) (((eq real) (uminus_uminus_real B)) A)))
% 0.69/0.85 FOF formula (forall (A:(a->extended_ereal)) (B:(nat->a)) (C:(nat->extended_ereal)) (V:nat), ((((eq (nat->extended_ereal)) ((comp_a1112243075al_nat A) B)) C)->(((eq extended_ereal) (A (B V))) (C V)))) of role axiom named fact_112_comp__eq__dest__lhs
% 0.69/0.85 A new axiom: (forall (A:(a->extended_ereal)) (B:(nat->a)) (C:(nat->extended_ereal)) (V:nat), ((((eq (nat->extended_ereal)) ((comp_a1112243075al_nat A) B)) C)->(((eq extended_ereal) (A (B V))) (C V))))
% 0.69/0.85 FOF formula (forall (A:(a->extended_ereal)) (B:(nat->a)) (C:(a->extended_ereal)) (D:(nat->a)), ((((eq (nat->extended_ereal)) ((comp_a1112243075al_nat A) B)) ((comp_a1112243075al_nat C) D))->(forall (V2:nat), (((eq extended_ereal) (A (B V2))) (C (D V2)))))) of role axiom named fact_113_comp__eq__elim
% 0.69/0.85 A new axiom: (forall (A:(a->extended_ereal)) (B:(nat->a)) (C:(a->extended_ereal)) (D:(nat->a)), ((((eq (nat->extended_ereal)) ((comp_a1112243075al_nat A) B)) ((comp_a1112243075al_nat C) D))->(forall (V2:nat), (((eq extended_ereal) (A (B V2))) (C (D V2))))))
% 0.69/0.85 FOF formula (forall (A:(a->extended_ereal)) (B:(nat->a)) (C:(a->extended_ereal)) (D:(nat->a)) (V:nat), ((((eq (nat->extended_ereal)) ((comp_a1112243075al_nat A) B)) ((comp_a1112243075al_nat C) D))->(((eq extended_ereal) (A (B V))) (C (D V))))) of role axiom named fact_114_comp__eq__dest
% 0.69/0.85 A new axiom: (forall (A:(a->extended_ereal)) (B:(nat->a)) (C:(a->extended_ereal)) (D:(nat->a)) (V:nat), ((((eq (nat->extended_ereal)) ((comp_a1112243075al_nat A) B)) ((comp_a1112243075al_nat C) D))->(((eq extended_ereal) (A (B V))) (C (D V)))))
% 0.69/0.85 FOF formula (forall (F2:(a->extended_ereal)) (G2:(nat->a)) (H:(nat->nat)), (((eq (nat->extended_ereal)) ((comp_n1096781355al_nat ((comp_a1112243075al_nat F2) G2)) H)) ((comp_a1112243075al_nat F2) ((comp_nat_a_nat G2) H)))) of role axiom named fact_115_comp__assoc
% 0.69/0.86 A new axiom: (forall (F2:(a->extended_ereal)) (G2:(nat->a)) (H:(nat->nat)), (((eq (nat->extended_ereal)) ((comp_n1096781355al_nat ((comp_a1112243075al_nat F2) G2)) H)) ((comp_a1112243075al_nat F2) ((comp_nat_a_nat G2) H))))
% 0.69/0.86 FOF formula (forall (F2:(extended_ereal->extended_ereal)) (G2:(a->extended_ereal)) (H:(nat->a)), (((eq (nat->extended_ereal)) ((comp_a1112243075al_nat ((comp_E489644891real_a F2) G2)) H)) ((comp_E1308517939al_nat F2) ((comp_a1112243075al_nat G2) H)))) of role axiom named fact_116_comp__assoc
% 0.69/0.86 A new axiom: (forall (F2:(extended_ereal->extended_ereal)) (G2:(a->extended_ereal)) (H:(nat->a)), (((eq (nat->extended_ereal)) ((comp_a1112243075al_nat ((comp_E489644891real_a F2) G2)) H)) ((comp_E1308517939al_nat F2) ((comp_a1112243075al_nat G2) H))))
% 0.69/0.86 FOF formula (forall (F2:(a->extended_ereal)) (G2:(a->a)) (H:(nat->a)), (((eq (nat->extended_ereal)) ((comp_a1112243075al_nat ((comp_a780206603real_a F2) G2)) H)) ((comp_a1112243075al_nat F2) ((comp_a_a_nat G2) H)))) of role axiom named fact_117_comp__assoc
% 0.69/0.86 A new axiom: (forall (F2:(a->extended_ereal)) (G2:(a->a)) (H:(nat->a)), (((eq (nat->extended_ereal)) ((comp_a1112243075al_nat ((comp_a780206603real_a F2) G2)) H)) ((comp_a1112243075al_nat F2) ((comp_a_a_nat G2) H))))
% 0.69/0.86 FOF formula (((eq ((a->extended_ereal)->((nat->a)->(nat->extended_ereal)))) comp_a1112243075al_nat) (fun (F3:(a->extended_ereal)) (G:(nat->a)) (X:nat)=> (F3 (G X)))) of role axiom named fact_118_comp__def
% 0.69/0.86 A new axiom: (((eq ((a->extended_ereal)->((nat->a)->(nat->extended_ereal)))) comp_a1112243075al_nat) (fun (F3:(a->extended_ereal)) (G:(nat->a)) (X:nat)=> (F3 (G X))))
% 0.69/0.86 FOF formula (((eq (real->((real->extended_ereal)->Prop))) lower_551915512_ereal) (fun (X02:real) (F3:(real->extended_ereal))=> (forall (X:(nat->real)) (C2:extended_ereal), (((and (((filterlim_nat_real X) (topolo1664202871s_real X02)) at_top_nat)) (forall (N:nat), ((ord_le824540014_ereal (F3 (X N))) C2)))->((ord_le824540014_ereal (F3 X02)) C2))))) of role axiom named fact_119_lsc__sequentially
% 0.69/0.86 A new axiom: (((eq (real->((real->extended_ereal)->Prop))) lower_551915512_ereal) (fun (X02:real) (F3:(real->extended_ereal))=> (forall (X:(nat->real)) (C2:extended_ereal), (((and (((filterlim_nat_real X) (topolo1664202871s_real X02)) at_top_nat)) (forall (N:nat), ((ord_le824540014_ereal (F3 (X N))) C2)))->((ord_le824540014_ereal (F3 X02)) C2)))))
% 0.69/0.86 FOF formula (((eq (a->((a->extended_ereal)->Prop))) lower_191460856_ereal) (fun (X02:a) (F3:(a->extended_ereal))=> (forall (X:(nat->a)) (C2:extended_ereal), (((and (((filterlim_nat_a X) (topolo705128563nhds_a X02)) at_top_nat)) (forall (N:nat), ((ord_le824540014_ereal (F3 (X N))) C2)))->((ord_le824540014_ereal (F3 X02)) C2))))) of role axiom named fact_120_lsc__sequentially
% 0.69/0.86 A new axiom: (((eq (a->((a->extended_ereal)->Prop))) lower_191460856_ereal) (fun (X02:a) (F3:(a->extended_ereal))=> (forall (X:(nat->a)) (C2:extended_ereal), (((and (((filterlim_nat_a X) (topolo705128563nhds_a X02)) at_top_nat)) (forall (N:nat), ((ord_le824540014_ereal (F3 (X N))) C2)))->((ord_le824540014_ereal (F3 X02)) C2)))))
% 0.69/0.86 FOF formula (((eq (extended_ereal->((extended_ereal->nat)->Prop))) lower_114093al_nat) (fun (X02:extended_ereal) (F3:(extended_ereal->nat))=> (forall (X4:(nat->extended_ereal)) (L2:nat), (((and (((filter1531173832_ereal X4) (topolo2140997059_ereal X02)) at_top_nat)) (((filterlim_nat_nat ((comp_E1523169101at_nat F3) X4)) (topolo1564986139ds_nat L2)) at_top_nat))->((ord_less_eq_nat L2) (F3 X02)))))) of role axiom named fact_121_usc__at__def
% 0.69/0.86 A new axiom: (((eq (extended_ereal->((extended_ereal->nat)->Prop))) lower_114093al_nat) (fun (X02:extended_ereal) (F3:(extended_ereal->nat))=> (forall (X4:(nat->extended_ereal)) (L2:nat), (((and (((filter1531173832_ereal X4) (topolo2140997059_ereal X02)) at_top_nat)) (((filterlim_nat_nat ((comp_E1523169101at_nat F3) X4)) (topolo1564986139ds_nat L2)) at_top_nat))->((ord_less_eq_nat L2) (F3 X02))))))
% 0.69/0.86 FOF formula (((eq (extended_ereal->((extended_ereal->int)->Prop))) lower_637387785al_int) (fun (X02:extended_ereal) (F3:(extended_ereal->int))=> (forall (X4:(nat->extended_ereal)) (L2:int), (((and (((filter1531173832_ereal X4) (topolo2140997059_ereal X02)) at_top_nat)) (((filterlim_nat_int ((comp_E1436437929nt_nat F3) X4)) (topolo54776183ds_int L2)) at_top_nat))->((ord_less_eq_int L2) (F3 X02)))))) of role axiom named fact_122_usc__at__def
% 0.69/0.87 A new axiom: (((eq (extended_ereal->((extended_ereal->int)->Prop))) lower_637387785al_int) (fun (X02:extended_ereal) (F3:(extended_ereal->int))=> (forall (X4:(nat->extended_ereal)) (L2:int), (((and (((filter1531173832_ereal X4) (topolo2140997059_ereal X02)) at_top_nat)) (((filterlim_nat_int ((comp_E1436437929nt_nat F3) X4)) (topolo54776183ds_int L2)) at_top_nat))->((ord_less_eq_int L2) (F3 X02))))))
% 0.69/0.87 FOF formula (((eq (extended_ereal->((extended_ereal->extended_ereal)->Prop))) lower_1071158961_ereal) (fun (X02:extended_ereal) (F3:(extended_ereal->extended_ereal))=> (forall (X4:(nat->extended_ereal)) (L2:extended_ereal), (((and (((filter1531173832_ereal X4) (topolo2140997059_ereal X02)) at_top_nat)) (((filter1531173832_ereal ((comp_E1308517939al_nat F3) X4)) (topolo2140997059_ereal L2)) at_top_nat))->((ord_le824540014_ereal L2) (F3 X02)))))) of role axiom named fact_123_usc__at__def
% 0.69/0.87 A new axiom: (((eq (extended_ereal->((extended_ereal->extended_ereal)->Prop))) lower_1071158961_ereal) (fun (X02:extended_ereal) (F3:(extended_ereal->extended_ereal))=> (forall (X4:(nat->extended_ereal)) (L2:extended_ereal), (((and (((filter1531173832_ereal X4) (topolo2140997059_ereal X02)) at_top_nat)) (((filter1531173832_ereal ((comp_E1308517939al_nat F3) X4)) (topolo2140997059_ereal L2)) at_top_nat))->((ord_le824540014_ereal L2) (F3 X02))))))
% 0.69/0.87 FOF formula (((eq (extended_ereal->((extended_ereal->real)->Prop))) lower_737640969l_real) (fun (X02:extended_ereal) (F3:(extended_ereal->real))=> (forall (X4:(nat->extended_ereal)) (L2:real), (((and (((filter1531173832_ereal X4) (topolo2140997059_ereal X02)) at_top_nat)) (((filterlim_nat_real ((comp_E1477338153al_nat F3) X4)) (topolo1664202871s_real L2)) at_top_nat))->((ord_less_eq_real L2) (F3 X02)))))) of role axiom named fact_124_usc__at__def
% 0.69/0.87 A new axiom: (((eq (extended_ereal->((extended_ereal->real)->Prop))) lower_737640969l_real) (fun (X02:extended_ereal) (F3:(extended_ereal->real))=> (forall (X4:(nat->extended_ereal)) (L2:real), (((and (((filter1531173832_ereal X4) (topolo2140997059_ereal X02)) at_top_nat)) (((filterlim_nat_real ((comp_E1477338153al_nat F3) X4)) (topolo1664202871s_real L2)) at_top_nat))->((ord_less_eq_real L2) (F3 X02))))))
% 0.69/0.87 FOF formula (((eq (a->((a->nat)->Prop))) lower_1035717085_a_nat) (fun (X02:a) (F3:(a->nat))=> (forall (X4:(nat->a)) (L2:nat), (((and (((filterlim_nat_a X4) (topolo705128563nhds_a X02)) at_top_nat)) (((filterlim_nat_nat ((comp_a_nat_nat F3) X4)) (topolo1564986139ds_nat L2)) at_top_nat))->((ord_less_eq_nat L2) (F3 X02)))))) of role axiom named fact_125_usc__at__def
% 0.69/0.87 A new axiom: (((eq (a->((a->nat)->Prop))) lower_1035717085_a_nat) (fun (X02:a) (F3:(a->nat))=> (forall (X4:(nat->a)) (L2:nat), (((and (((filterlim_nat_a X4) (topolo705128563nhds_a X02)) at_top_nat)) (((filterlim_nat_nat ((comp_a_nat_nat F3) X4)) (topolo1564986139ds_nat L2)) at_top_nat))->((ord_less_eq_nat L2) (F3 X02))))))
% 0.69/0.87 FOF formula (((eq (a->((a->int)->Prop))) lower_1672990777_a_int) (fun (X02:a) (F3:(a->int))=> (forall (X4:(nat->a)) (L2:int), (((and (((filterlim_nat_a X4) (topolo705128563nhds_a X02)) at_top_nat)) (((filterlim_nat_int ((comp_a_int_nat F3) X4)) (topolo54776183ds_int L2)) at_top_nat))->((ord_less_eq_int L2) (F3 X02)))))) of role axiom named fact_126_usc__at__def
% 0.69/0.87 A new axiom: (((eq (a->((a->int)->Prop))) lower_1672990777_a_int) (fun (X02:a) (F3:(a->int))=> (forall (X4:(nat->a)) (L2:int), (((and (((filterlim_nat_a X4) (topolo705128563nhds_a X02)) at_top_nat)) (((filterlim_nat_int ((comp_a_int_nat F3) X4)) (topolo54776183ds_int L2)) at_top_nat))->((ord_less_eq_int L2) (F3 X02))))))
% 0.69/0.87 FOF formula (((eq (a->((a->extended_ereal)->Prop))) lower_534855297_ereal) (fun (X02:a) (F3:(a->extended_ereal))=> (forall (X4:(nat->a)) (L2:extended_ereal), (((and (((filterlim_nat_a X4) (topolo705128563nhds_a X02)) at_top_nat)) (((filter1531173832_ereal ((comp_a1112243075al_nat F3) X4)) (topolo2140997059_ereal L2)) at_top_nat))->((ord_le824540014_ereal L2) (F3 X02)))))) of role axiom named fact_127_usc__at__def
% 0.69/0.88 A new axiom: (((eq (a->((a->extended_ereal)->Prop))) lower_534855297_ereal) (fun (X02:a) (F3:(a->extended_ereal))=> (forall (X4:(nat->a)) (L2:extended_ereal), (((and (((filterlim_nat_a X4) (topolo705128563nhds_a X02)) at_top_nat)) (((filter1531173832_ereal ((comp_a1112243075al_nat F3) X4)) (topolo2140997059_ereal L2)) at_top_nat))->((ord_le824540014_ereal L2) (F3 X02))))))
% 0.69/0.88 FOF formula (((eq (a->((a->real)->Prop))) lower_755922489a_real) (fun (X02:a) (F3:(a->real))=> (forall (X4:(nat->a)) (L2:real), (((and (((filterlim_nat_a X4) (topolo705128563nhds_a X02)) at_top_nat)) (((filterlim_nat_real ((comp_a_real_nat F3) X4)) (topolo1664202871s_real L2)) at_top_nat))->((ord_less_eq_real L2) (F3 X02)))))) of role axiom named fact_128_usc__at__def
% 0.69/0.88 A new axiom: (((eq (a->((a->real)->Prop))) lower_755922489a_real) (fun (X02:a) (F3:(a->real))=> (forall (X4:(nat->a)) (L2:real), (((and (((filterlim_nat_a X4) (topolo705128563nhds_a X02)) at_top_nat)) (((filterlim_nat_real ((comp_a_real_nat F3) X4)) (topolo1664202871s_real L2)) at_top_nat))->((ord_less_eq_real L2) (F3 X02))))))
% 0.69/0.88 FOF formula (((eq (real->((real->nat)->Prop))) lower_438231087al_nat) (fun (X02:real) (F3:(real->nat))=> (forall (X4:(nat->real)) (L2:nat), (((and (((filterlim_nat_real X4) (topolo1664202871s_real X02)) at_top_nat)) (((filterlim_nat_nat ((comp_real_nat_nat F3) X4)) (topolo1564986139ds_nat L2)) at_top_nat))->((ord_less_eq_nat L2) (F3 X02)))))) of role axiom named fact_129_usc__at__def
% 0.69/0.88 A new axiom: (((eq (real->((real->nat)->Prop))) lower_438231087al_nat) (fun (X02:real) (F3:(real->nat))=> (forall (X4:(nat->real)) (L2:nat), (((and (((filterlim_nat_real X4) (topolo1664202871s_real X02)) at_top_nat)) (((filterlim_nat_nat ((comp_real_nat_nat F3) X4)) (topolo1564986139ds_nat L2)) at_top_nat))->((ord_less_eq_nat L2) (F3 X02))))))
% 0.69/0.88 FOF formula (((eq (real->((real->int)->Prop))) lower_1075504779al_int) (fun (X02:real) (F3:(real->int))=> (forall (X4:(nat->real)) (L2:int), (((and (((filterlim_nat_real X4) (topolo1664202871s_real X02)) at_top_nat)) (((filterlim_nat_int ((comp_real_int_nat F3) X4)) (topolo54776183ds_int L2)) at_top_nat))->((ord_less_eq_int L2) (F3 X02)))))) of role axiom named fact_130_usc__at__def
% 0.69/0.88 A new axiom: (((eq (real->((real->int)->Prop))) lower_1075504779al_int) (fun (X02:real) (F3:(real->int))=> (forall (X4:(nat->real)) (L2:int), (((and (((filterlim_nat_real X4) (topolo1664202871s_real X02)) at_top_nat)) (((filterlim_nat_int ((comp_real_int_nat F3) X4)) (topolo54776183ds_int L2)) at_top_nat))->((ord_less_eq_int L2) (F3 X02))))))
% 0.69/0.88 FOF formula (forall (X0:extended_ereal) (F2:(extended_ereal->nat)) (X2:(nat->extended_ereal)) (A2:nat), (((lower_114093al_nat X0) F2)->((((filter1531173832_ereal X2) (topolo2140997059_ereal X0)) at_top_nat)->((((filterlim_nat_nat ((comp_E1523169101at_nat F2) X2)) (topolo1564986139ds_nat A2)) at_top_nat)->((ord_less_eq_nat A2) (F2 X0)))))) of role axiom named fact_131_usc__at__mem
% 0.69/0.88 A new axiom: (forall (X0:extended_ereal) (F2:(extended_ereal->nat)) (X2:(nat->extended_ereal)) (A2:nat), (((lower_114093al_nat X0) F2)->((((filter1531173832_ereal X2) (topolo2140997059_ereal X0)) at_top_nat)->((((filterlim_nat_nat ((comp_E1523169101at_nat F2) X2)) (topolo1564986139ds_nat A2)) at_top_nat)->((ord_less_eq_nat A2) (F2 X0))))))
% 0.69/0.88 FOF formula (forall (X0:extended_ereal) (F2:(extended_ereal->int)) (X2:(nat->extended_ereal)) (A2:int), (((lower_637387785al_int X0) F2)->((((filter1531173832_ereal X2) (topolo2140997059_ereal X0)) at_top_nat)->((((filterlim_nat_int ((comp_E1436437929nt_nat F2) X2)) (topolo54776183ds_int A2)) at_top_nat)->((ord_less_eq_int A2) (F2 X0)))))) of role axiom named fact_132_usc__at__mem
% 0.69/0.88 A new axiom: (forall (X0:extended_ereal) (F2:(extended_ereal->int)) (X2:(nat->extended_ereal)) (A2:int), (((lower_637387785al_int X0) F2)->((((filter1531173832_ereal X2) (topolo2140997059_ereal X0)) at_top_nat)->((((filterlim_nat_int ((comp_E1436437929nt_nat F2) X2)) (topolo54776183ds_int A2)) at_top_nat)->((ord_less_eq_int A2) (F2 X0))))))
% 0.69/0.89 FOF formula (forall (X0:extended_ereal) (F2:(extended_ereal->extended_ereal)) (X2:(nat->extended_ereal)) (A2:extended_ereal), (((lower_1071158961_ereal X0) F2)->((((filter1531173832_ereal X2) (topolo2140997059_ereal X0)) at_top_nat)->((((filter1531173832_ereal ((comp_E1308517939al_nat F2) X2)) (topolo2140997059_ereal A2)) at_top_nat)->((ord_le824540014_ereal A2) (F2 X0)))))) of role axiom named fact_133_usc__at__mem
% 0.69/0.89 A new axiom: (forall (X0:extended_ereal) (F2:(extended_ereal->extended_ereal)) (X2:(nat->extended_ereal)) (A2:extended_ereal), (((lower_1071158961_ereal X0) F2)->((((filter1531173832_ereal X2) (topolo2140997059_ereal X0)) at_top_nat)->((((filter1531173832_ereal ((comp_E1308517939al_nat F2) X2)) (topolo2140997059_ereal A2)) at_top_nat)->((ord_le824540014_ereal A2) (F2 X0))))))
% 0.69/0.89 FOF formula (forall (X0:extended_ereal) (F2:(extended_ereal->real)) (X2:(nat->extended_ereal)) (A2:real), (((lower_737640969l_real X0) F2)->((((filter1531173832_ereal X2) (topolo2140997059_ereal X0)) at_top_nat)->((((filterlim_nat_real ((comp_E1477338153al_nat F2) X2)) (topolo1664202871s_real A2)) at_top_nat)->((ord_less_eq_real A2) (F2 X0)))))) of role axiom named fact_134_usc__at__mem
% 0.69/0.89 A new axiom: (forall (X0:extended_ereal) (F2:(extended_ereal->real)) (X2:(nat->extended_ereal)) (A2:real), (((lower_737640969l_real X0) F2)->((((filter1531173832_ereal X2) (topolo2140997059_ereal X0)) at_top_nat)->((((filterlim_nat_real ((comp_E1477338153al_nat F2) X2)) (topolo1664202871s_real A2)) at_top_nat)->((ord_less_eq_real A2) (F2 X0))))))
% 0.69/0.89 FOF formula (forall (X0:a) (F2:(a->nat)) (X2:(nat->a)) (A2:nat), (((lower_1035717085_a_nat X0) F2)->((((filterlim_nat_a X2) (topolo705128563nhds_a X0)) at_top_nat)->((((filterlim_nat_nat ((comp_a_nat_nat F2) X2)) (topolo1564986139ds_nat A2)) at_top_nat)->((ord_less_eq_nat A2) (F2 X0)))))) of role axiom named fact_135_usc__at__mem
% 0.69/0.89 A new axiom: (forall (X0:a) (F2:(a->nat)) (X2:(nat->a)) (A2:nat), (((lower_1035717085_a_nat X0) F2)->((((filterlim_nat_a X2) (topolo705128563nhds_a X0)) at_top_nat)->((((filterlim_nat_nat ((comp_a_nat_nat F2) X2)) (topolo1564986139ds_nat A2)) at_top_nat)->((ord_less_eq_nat A2) (F2 X0))))))
% 0.69/0.89 FOF formula (forall (X0:a) (F2:(a->int)) (X2:(nat->a)) (A2:int), (((lower_1672990777_a_int X0) F2)->((((filterlim_nat_a X2) (topolo705128563nhds_a X0)) at_top_nat)->((((filterlim_nat_int ((comp_a_int_nat F2) X2)) (topolo54776183ds_int A2)) at_top_nat)->((ord_less_eq_int A2) (F2 X0)))))) of role axiom named fact_136_usc__at__mem
% 0.69/0.89 A new axiom: (forall (X0:a) (F2:(a->int)) (X2:(nat->a)) (A2:int), (((lower_1672990777_a_int X0) F2)->((((filterlim_nat_a X2) (topolo705128563nhds_a X0)) at_top_nat)->((((filterlim_nat_int ((comp_a_int_nat F2) X2)) (topolo54776183ds_int A2)) at_top_nat)->((ord_less_eq_int A2) (F2 X0))))))
% 0.69/0.89 FOF formula (forall (X0:a) (F2:(a->extended_ereal)) (X2:(nat->a)) (A2:extended_ereal), (((lower_534855297_ereal X0) F2)->((((filterlim_nat_a X2) (topolo705128563nhds_a X0)) at_top_nat)->((((filter1531173832_ereal ((comp_a1112243075al_nat F2) X2)) (topolo2140997059_ereal A2)) at_top_nat)->((ord_le824540014_ereal A2) (F2 X0)))))) of role axiom named fact_137_usc__at__mem
% 0.69/0.89 A new axiom: (forall (X0:a) (F2:(a->extended_ereal)) (X2:(nat->a)) (A2:extended_ereal), (((lower_534855297_ereal X0) F2)->((((filterlim_nat_a X2) (topolo705128563nhds_a X0)) at_top_nat)->((((filter1531173832_ereal ((comp_a1112243075al_nat F2) X2)) (topolo2140997059_ereal A2)) at_top_nat)->((ord_le824540014_ereal A2) (F2 X0))))))
% 0.69/0.89 FOF formula (forall (X0:a) (F2:(a->real)) (X2:(nat->a)) (A2:real), (((lower_755922489a_real X0) F2)->((((filterlim_nat_a X2) (topolo705128563nhds_a X0)) at_top_nat)->((((filterlim_nat_real ((comp_a_real_nat F2) X2)) (topolo1664202871s_real A2)) at_top_nat)->((ord_less_eq_real A2) (F2 X0)))))) of role axiom named fact_138_usc__at__mem
% 0.69/0.89 A new axiom: (forall (X0:a) (F2:(a->real)) (X2:(nat->a)) (A2:real), (((lower_755922489a_real X0) F2)->((((filterlim_nat_a X2) (topolo705128563nhds_a X0)) at_top_nat)->((((filterlim_nat_real ((comp_a_real_nat F2) X2)) (topolo1664202871s_real A2)) at_top_nat)->((ord_less_eq_real A2) (F2 X0))))))
% 0.69/0.89 FOF formula (forall (X0:real) (F2:(real->nat)) (X2:(nat->real)) (A2:nat), (((lower_438231087al_nat X0) F2)->((((filterlim_nat_real X2) (topolo1664202871s_real X0)) at_top_nat)->((((filterlim_nat_nat ((comp_real_nat_nat F2) X2)) (topolo1564986139ds_nat A2)) at_top_nat)->((ord_less_eq_nat A2) (F2 X0)))))) of role axiom named fact_139_usc__at__mem
% 0.69/0.89 A new axiom: (forall (X0:real) (F2:(real->nat)) (X2:(nat->real)) (A2:nat), (((lower_438231087al_nat X0) F2)->((((filterlim_nat_real X2) (topolo1664202871s_real X0)) at_top_nat)->((((filterlim_nat_nat ((comp_real_nat_nat F2) X2)) (topolo1564986139ds_nat A2)) at_top_nat)->((ord_less_eq_nat A2) (F2 X0))))))
% 0.69/0.89 FOF formula (forall (X0:real) (F2:(real->int)) (X2:(nat->real)) (A2:int), (((lower_1075504779al_int X0) F2)->((((filterlim_nat_real X2) (topolo1664202871s_real X0)) at_top_nat)->((((filterlim_nat_int ((comp_real_int_nat F2) X2)) (topolo54776183ds_int A2)) at_top_nat)->((ord_less_eq_int A2) (F2 X0)))))) of role axiom named fact_140_usc__at__mem
% 0.69/0.89 A new axiom: (forall (X0:real) (F2:(real->int)) (X2:(nat->real)) (A2:int), (((lower_1075504779al_int X0) F2)->((((filterlim_nat_real X2) (topolo1664202871s_real X0)) at_top_nat)->((((filterlim_nat_int ((comp_real_int_nat F2) X2)) (topolo54776183ds_int A2)) at_top_nat)->((ord_less_eq_int A2) (F2 X0))))))
% 0.69/0.89 <<< M2 @ N2 )
% 0.69/0.89 => ( ord_le824540014_ereal @ ( F2 @ N2 ) @ ( F2 @ M2 ) ) )
% 0.69/0.89 => ~ !>>>!!!<<< [L3: extended_ereal] :
% 0.69/0.89 ~ ( filter1531173832_ereal @ F2 @ ( topolo2140997059_e>>>
% 0.69/0.89 statestack=[0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 22, 30, 36, 43, 50, 99, 113, 185, 229, 265, 285, 300, 221, 120, 187, 124]
% 0.69/0.89 symstack=[$end, TPTP_file_pre, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,63021), LexToken(LPAR,'(',1,63024), name, LexToken(COMMA,',',1,63053), formula_role, LexToken(COMMA,',',1,63059), LexToken(LPAR,'(',1,63060), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,63068), thf_variable_list, LexToken(RBRACKET,']',1,63093), LexToken(COLON,':',1,63095), LexToken(LPAR,'(',1,63103), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.69/0.89 Unexpected exception Syntax error at '!':BANG
% 0.69/0.89 Traceback (most recent call last):
% 0.69/0.89 File "CASC.py", line 79, in <module>
% 0.69/0.89 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.69/0.89 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.69/0.89 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.69/0.89 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.69/0.89 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.69/0.89 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.69/0.89 tok = self.errorfunc(errtoken)
% 0.69/0.89 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.69/0.89 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.69/0.89 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------