TSTP Solution File: ITP148^1 by cocATP---0.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : ITP148^1 : TPTP v7.5.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n001.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 13:24:20 EDT 2021

% Result   : Unknown 0.81s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem  : ITP148^1 : TPTP v7.5.0. Released v7.5.0.
% 0.04/0.12  % Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Computer : n001.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Fri Mar 19 07:06:16 EDT 2021
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34  Python 2.7.5
% 0.42/0.61  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x1292878>, <kernel.Type object at 0x1292098>) of role type named ty_n_t__Set__Oset_I_062_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring set_real_real:Type
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x1296320>, <kernel.Type object at 0x12922d8>) of role type named ty_n_t__Set__Oset_I_062_Itf__a_Mt__Complex__Ocomplex_J_J
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring set_a_complex:Type
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x1292fc8>, <kernel.Type object at 0x1292e60>) of role type named ty_n_t__Set__Oset_I_062_It__Complex__Ocomplex_Mtf__a_J_J
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring set_complex_a:Type
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x1292098>, <kernel.Type object at 0x12923f8>) of role type named ty_n_t__Set__Oset_I_062_It__Real__Oreal_Mtf__a_J_J
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring set_real_a:Type
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x12922d8>, <kernel.Type object at 0x1292998>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring set_complex:Type
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x1292e60>, <kernel.Type object at 0x12923f8>) of role type named ty_n_t__Set__Oset_I_062_Itf__a_Mtf__a_J_J
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring set_a_a:Type
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x1292b48>, <kernel.Type object at 0x2aad4b67c3b0>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring set_real:Type
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x1292e60>, <kernel.Type object at 0x2aad4b67c3b0>) of role type named ty_n_t__Set__Oset_Itf__a_J
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring set_a:Type
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x1292998>, <kernel.Type object at 0x2aad4b67c320>) of role type named ty_n_t__Complex__Ocomplex
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring complex:Type
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x12922d8>, <kernel.Type object at 0x2aad4b67c518>) of role type named ty_n_t__Real__Oreal
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring real:Type
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x1292998>, <kernel.Type object at 0x2aad4b67c320>) of role type named ty_n_tf__a
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring a:Type
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x1292998>, <kernel.DependentProduct object at 0x2aad4b681518>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring bij_be209634132omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x1292998>, <kernel.DependentProduct object at 0x2aad4b681518>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001tf__a
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring bij_betw_complex_a:((complex->a)->(set_complex->(set_a->Prop)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x2aad4b67c518>, <kernel.DependentProduct object at 0x2aad4b681518>) of role type named sy_c_Fun_Obij__betw_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring bij_be122140626omplex:((real->complex)->(set_real->(set_complex->Prop)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x2aad4b67c2d8>, <kernel.DependentProduct object at 0x2aad4b6817a0>) of role type named sy_c_Fun_Obij__betw_001t__Real__Oreal_001t__Real__Oreal
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring bij_betw_real_real:((real->real)->(set_real->(set_real->Prop)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x2aad4b67c518>, <kernel.DependentProduct object at 0x2aad4b681dd0>) of role type named sy_c_Fun_Obij__betw_001t__Real__Oreal_001tf__a
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring bij_betw_real_a:((real->a)->(set_real->(set_a->Prop)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x2aad4b67c518>, <kernel.DependentProduct object at 0x2aad4b6810e0>) of role type named sy_c_Fun_Obij__betw_001tf__a_001t__Complex__Ocomplex
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring bij_betw_a_complex:((a->complex)->(set_a->(set_complex->Prop)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x2aad4b6817a0>, <kernel.DependentProduct object at 0x2aad43baef38>) of role type named sy_c_Fun_Obij__betw_001tf__a_001tf__a
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring bij_betw_a_a:((a->a)->(set_a->(set_a->Prop)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x2aad4b6810e0>, <kernel.DependentProduct object at 0x2aad43baef80>) of role type named sy_c_Fun_Ocomp_001t__Complex__Ocomplex_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring comp_c130555887omplex:((complex->complex)->((complex->complex)->(complex->complex)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x2aad4b681dd0>, <kernel.DependentProduct object at 0x2aad43baee18>) of role type named sy_c_Fun_Ocomp_001t__Complex__Ocomplex_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring comp_c595887981x_real:((complex->complex)->((real->complex)->(real->complex)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x2aad4b6810e0>, <kernel.DependentProduct object at 0x2aad43baeea8>) of role type named sy_c_Fun_Ocomp_001t__Complex__Ocomplex_001t__Complex__Ocomplex_001tf__a
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring comp_c124850173plex_a:((complex->complex)->((a->complex)->(a->complex)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x2aad4b6817a0>, <kernel.DependentProduct object at 0x2aad43baef38>) of role type named sy_c_Fun_Ocomp_001t__Complex__Ocomplex_001t__Real__Oreal_001t__Real__Oreal
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring comp_c819638635l_real:((complex->real)->((real->complex)->(real->real)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x2aad4b6810e0>, <kernel.DependentProduct object at 0x2aad43baefc8>) of role type named sy_c_Fun_Ocomp_001t__Complex__Ocomplex_001t__Real__Oreal_001tf__a
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring comp_complex_real_a:((complex->real)->((a->complex)->(a->real)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x2aad4b6810e0>, <kernel.DependentProduct object at 0x2aad43baef80>) of role type named sy_c_Fun_Ocomp_001t__Complex__Ocomplex_001tf__a_001t__Complex__Ocomplex
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring comp_c274302683omplex:((complex->a)->((complex->complex)->(complex->a)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x2aad43baeef0>, <kernel.DependentProduct object at 0x2aad43baed40>) of role type named sy_c_Fun_Ocomp_001t__Complex__Ocomplex_001tf__a_001t__Real__Oreal
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring comp_complex_a_real:((complex->a)->((real->complex)->(real->a)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x2aad43baef38>, <kernel.DependentProduct object at 0x2aad43baee18>) of role type named sy_c_Fun_Ocomp_001t__Complex__Ocomplex_001tf__a_001tf__a
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring comp_complex_a_a:((complex->a)->((a->complex)->(a->a)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x2aad43baefc8>, <kernel.DependentProduct object at 0x2aad43baedd0>) of role type named sy_c_Fun_Ocomp_001t__Real__Oreal_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring comp_r667767405omplex:((real->complex)->((complex->real)->(complex->complex)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x2aad43baecf8>, <kernel.DependentProduct object at 0x2aad43baebd8>) of role type named sy_c_Fun_Ocomp_001t__Real__Oreal_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring comp_r701421291x_real:((real->complex)->((real->real)->(real->complex)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x2aad43baeb90>, <kernel.DependentProduct object at 0x2aad43baeb00>) of role type named sy_c_Fun_Ocomp_001t__Real__Oreal_001t__Complex__Ocomplex_001tf__a
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring comp_real_complex_a:((real->complex)->((a->real)->(a->complex)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x2aad43baee18>, <kernel.DependentProduct object at 0x2aad43baeb48>) of role type named sy_c_Fun_Ocomp_001t__Real__Oreal_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring comp_r422820971omplex:((real->real)->((complex->real)->(complex->real)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x2aad43baef38>, <kernel.DependentProduct object at 0x2aad43baea70>) of role type named sy_c_Fun_Ocomp_001t__Real__Oreal_001t__Real__Oreal_001t__Real__Oreal
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring comp_real_real_real:((real->real)->((real->real)->(real->real)))
% 0.42/0.61  FOF formula (<kernel.Constant object at 0x2aad43baebd8>, <kernel.DependentProduct object at 0x2aad43baeab8>) of role type named sy_c_Fun_Ocomp_001t__Real__Oreal_001t__Real__Oreal_001tf__a
% 0.42/0.61  Using role type
% 0.42/0.61  Declaring comp_real_real_a:((real->real)->((a->real)->(a->real)))
% 0.42/0.62  FOF formula (<kernel.Constant object at 0x2aad43baeb00>, <kernel.DependentProduct object at 0x2aad43bae9e0>) of role type named sy_c_Fun_Ocomp_001t__Real__Oreal_001tf__a_001t__Complex__Ocomplex
% 0.42/0.62  Using role type
% 0.42/0.62  Declaring comp_real_a_complex:((real->a)->((complex->real)->(complex->a)))
% 0.42/0.62  FOF formula (<kernel.Constant object at 0x2aad43baeb90>, <kernel.DependentProduct object at 0x2aad43baea28>) of role type named sy_c_Fun_Ocomp_001t__Real__Oreal_001tf__a_001t__Real__Oreal
% 0.42/0.62  Using role type
% 0.42/0.62  Declaring comp_real_a_real:((real->a)->((real->real)->(real->a)))
% 0.42/0.62  FOF formula (<kernel.Constant object at 0x2aad43baea70>, <kernel.DependentProduct object at 0x2aad43bae950>) of role type named sy_c_Fun_Ocomp_001t__Real__Oreal_001tf__a_001tf__a
% 0.42/0.62  Using role type
% 0.42/0.62  Declaring comp_real_a_a:((real->a)->((a->real)->(a->a)))
% 0.42/0.62  FOF formula (<kernel.Constant object at 0x2aad43baef38>, <kernel.DependentProduct object at 0x2aad43bae998>) of role type named sy_c_Fun_Ocomp_001tf__a_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.42/0.62  Using role type
% 0.42/0.62  Declaring comp_a1063143865omplex:((a->complex)->((complex->a)->(complex->complex)))
% 0.42/0.62  FOF formula (<kernel.Constant object at 0x2aad43baebd8>, <kernel.DependentProduct object at 0x2aad43bae8c0>) of role type named sy_c_Fun_Ocomp_001tf__a_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.42/0.62  Using role type
% 0.42/0.62  Declaring comp_a_complex_real:((a->complex)->((real->a)->(real->complex)))
% 0.42/0.62  FOF formula (<kernel.Constant object at 0x2aad43baea28>, <kernel.DependentProduct object at 0x2aad43bae908>) of role type named sy_c_Fun_Ocomp_001tf__a_001t__Complex__Ocomplex_001tf__a
% 0.42/0.62  Using role type
% 0.42/0.62  Declaring comp_a_complex_a:((a->complex)->((a->a)->(a->complex)))
% 0.42/0.62  FOF formula (<kernel.Constant object at 0x2aad43bae950>, <kernel.DependentProduct object at 0x2aad43bae830>) of role type named sy_c_Fun_Ocomp_001tf__a_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.42/0.62  Using role type
% 0.42/0.62  Declaring comp_a_real_complex:((a->real)->((complex->a)->(complex->real)))
% 0.42/0.62  FOF formula (<kernel.Constant object at 0x2aad43baea70>, <kernel.DependentProduct object at 0x2aad43bae878>) of role type named sy_c_Fun_Ocomp_001tf__a_001t__Real__Oreal_001t__Real__Oreal
% 0.42/0.62  Using role type
% 0.42/0.62  Declaring comp_a_real_real:((a->real)->((real->a)->(real->real)))
% 0.42/0.62  FOF formula (<kernel.Constant object at 0x2aad43bae8c0>, <kernel.DependentProduct object at 0x2aad43bae7a0>) of role type named sy_c_Fun_Ocomp_001tf__a_001t__Real__Oreal_001tf__a
% 0.42/0.62  Using role type
% 0.42/0.62  Declaring comp_a_real_a:((a->real)->((a->a)->(a->real)))
% 0.42/0.62  FOF formula (<kernel.Constant object at 0x2aad43baebd8>, <kernel.DependentProduct object at 0x2aad43bae7e8>) of role type named sy_c_Fun_Ocomp_001tf__a_001tf__a_001t__Complex__Ocomplex
% 0.42/0.62  Using role type
% 0.42/0.62  Declaring comp_a_a_complex:((a->a)->((complex->a)->(complex->a)))
% 0.42/0.62  FOF formula (<kernel.Constant object at 0x2aad43baea28>, <kernel.DependentProduct object at 0x2aad43bae680>) of role type named sy_c_Fun_Ocomp_001tf__a_001tf__a_001t__Real__Oreal
% 0.42/0.62  Using role type
% 0.42/0.62  Declaring comp_a_a_real:((a->a)->((real->a)->(real->a)))
% 0.42/0.62  FOF formula (<kernel.Constant object at 0x2aad43bae878>, <kernel.DependentProduct object at 0x2aad43bae6c8>) of role type named sy_c_Fun_Ocomp_001tf__a_001tf__a_001tf__a
% 0.42/0.62  Using role type
% 0.42/0.62  Declaring comp_a_a_a:((a->a)->((a->a)->(a->a)))
% 0.42/0.62  FOF formula (<kernel.Constant object at 0x2aad43baea70>, <kernel.DependentProduct object at 0x2aad43baea28>) of role type named sy_c_Fun_Oid_001_062_It__Complex__Ocomplex_Mtf__a_J
% 0.42/0.62  Using role type
% 0.42/0.62  Declaring id_complex_a:((complex->a)->(complex->a))
% 0.42/0.62  FOF formula (<kernel.Constant object at 0x2aad43bae8c0>, <kernel.DependentProduct object at 0x2aad43bae878>) of role type named sy_c_Fun_Oid_001_062_It__Real__Oreal_Mtf__a_J
% 0.42/0.62  Using role type
% 0.42/0.62  Declaring id_real_a:((real->a)->(real->a))
% 0.42/0.62  FOF formula (<kernel.Constant object at 0x2aad43baebd8>, <kernel.DependentProduct object at 0x2aad43baea70>) of role type named sy_c_Fun_Oid_001_062_Itf__a_Mtf__a_J
% 0.42/0.62  Using role type
% 0.42/0.62  Declaring id_a_a:((a->a)->(a->a))
% 0.42/0.62  FOF formula (<kernel.Constant object at 0x2aad43bae5a8>, <kernel.DependentProduct object at 0x2aad43bae6c8>) of role type named sy_c_Fun_Oid_001t__Complex__Ocomplex
% 0.42/0.63  Using role type
% 0.42/0.63  Declaring id_complex:(complex->complex)
% 0.42/0.63  FOF formula (<kernel.Constant object at 0x2aad43baeea8>, <kernel.DependentProduct object at 0x2aad43bae518>) of role type named sy_c_Fun_Oid_001t__Real__Oreal
% 0.42/0.63  Using role type
% 0.42/0.63  Declaring id_real:(real->real)
% 0.42/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae4d0>, <kernel.DependentProduct object at 0x2aad43bae5a8>) of role type named sy_c_Fun_Oid_001tf__a
% 0.42/0.63  Using role type
% 0.42/0.63  Declaring id_a:(a->a)
% 0.42/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae6c8>, <kernel.DependentProduct object at 0x2aad43bae518>) of role type named sy_c_Fun_Oinj__on_001_062_It__Complex__Ocomplex_Mtf__a_J_001_062_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.42/0.63  Using role type
% 0.42/0.63  Declaring inj_on893405649omplex:(((complex->a)->(complex->complex))->(set_complex_a->Prop))
% 0.42/0.63  FOF formula (<kernel.Constant object at 0x2aad43baeea8>, <kernel.DependentProduct object at 0x2aad43bae440>) of role type named sy_c_Fun_Oinj__on_001_062_It__Complex__Ocomplex_Mtf__a_J_001_062_It__Complex__Ocomplex_Mtf__a_J
% 0.42/0.63  Using role type
% 0.42/0.63  Declaring inj_on1576005937plex_a:(((complex->a)->(complex->a))->(set_complex_a->Prop))
% 0.42/0.63  FOF formula (<kernel.Constant object at 0x2aad43baea70>, <kernel.DependentProduct object at 0x2aad43bae3b0>) of role type named sy_c_Fun_Oinj__on_001_062_It__Real__Oreal_Mt__Real__Oreal_J_001_062_It__Real__Oreal_Mtf__a_J
% 0.42/0.63  Using role type
% 0.42/0.63  Declaring inj_on958237983real_a:(((real->real)->(real->a))->(set_real_real->Prop))
% 0.42/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae4d0>, <kernel.DependentProduct object at 0x2aad43bae3f8>) of role type named sy_c_Fun_Oinj__on_001_062_It__Real__Oreal_Mtf__a_J_001_062_It__Real__Oreal_Mt__Complex__Ocomplex_J
% 0.42/0.63  Using role type
% 0.42/0.63  Declaring inj_on319905617omplex:(((real->a)->(real->complex))->(set_real_a->Prop))
% 0.42/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae6c8>, <kernel.DependentProduct object at 0x2aad43bae320>) of role type named sy_c_Fun_Oinj__on_001_062_It__Real__Oreal_Mtf__a_J_001_062_It__Real__Oreal_Mtf__a_J
% 0.42/0.63  Using role type
% 0.42/0.63  Declaring inj_on_real_a_real_a:(((real->a)->(real->a))->(set_real_a->Prop))
% 0.42/0.63  FOF formula (<kernel.Constant object at 0x2aad43baeea8>, <kernel.DependentProduct object at 0x2aad43bae368>) of role type named sy_c_Fun_Oinj__on_001_062_Itf__a_Mt__Complex__Ocomplex_J_001_062_Itf__a_Mtf__a_J
% 0.42/0.63  Using role type
% 0.42/0.63  Declaring inj_on_a_complex_a_a:(((a->complex)->(a->a))->(set_a_complex->Prop))
% 0.42/0.63  FOF formula (<kernel.Constant object at 0x2aad43baea70>, <kernel.DependentProduct object at 0x2aad43bae290>) of role type named sy_c_Fun_Oinj__on_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mt__Complex__Ocomplex_J
% 0.42/0.63  Using role type
% 0.42/0.63  Declaring inj_on_a_a_a_complex:(((a->a)->(a->complex))->(set_a_a->Prop))
% 0.42/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae4d0>, <kernel.DependentProduct object at 0x2aad43bae2d8>) of role type named sy_c_Fun_Oinj__on_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J
% 0.42/0.63  Using role type
% 0.42/0.63  Declaring inj_on_a_a_a_a:(((a->a)->(a->a))->(set_a_a->Prop))
% 0.42/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae6c8>, <kernel.DependentProduct object at 0x2aad43baea70>) of role type named sy_c_Fun_Oinj__on_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.42/0.63  Using role type
% 0.42/0.63  Declaring inj_on94911183omplex:((complex->complex)->(set_complex->Prop))
% 0.42/0.63  FOF formula (<kernel.Constant object at 0x2aad43baeea8>, <kernel.DependentProduct object at 0x2aad43bae4d0>) of role type named sy_c_Fun_Oinj__on_001t__Complex__Ocomplex_001tf__a
% 0.42/0.63  Using role type
% 0.42/0.63  Declaring inj_on_complex_a:((complex->a)->(set_complex->Prop))
% 0.42/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae248>, <kernel.DependentProduct object at 0x2aad43bae6c8>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.42/0.63  Using role type
% 0.42/0.63  Declaring inj_on_real_complex:((real->complex)->(set_real->Prop))
% 0.42/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae200>, <kernel.DependentProduct object at 0x2aad43baeea8>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Real__Oreal
% 0.42/0.63  Using role type
% 0.42/0.63  Declaring inj_on_real_real:((real->real)->(set_real->Prop))
% 0.42/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae2d8>, <kernel.DependentProduct object at 0x2aad43bae248>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001tf__a
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring inj_on_real_a:((real->a)->(set_real->Prop))
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x2aad43baea70>, <kernel.DependentProduct object at 0x2aad43bae200>) of role type named sy_c_Fun_Oinj__on_001tf__a_001t__Complex__Ocomplex
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring inj_on_a_complex:((a->complex)->(set_a->Prop))
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x2aad43baee60>, <kernel.DependentProduct object at 0x2aad43bae6c8>) of role type named sy_c_Fun_Oinj__on_001tf__a_001tf__a
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring inj_on_a_a:((a->a)->(set_a->Prop))
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae488>, <kernel.Constant object at 0x2aad43baee60>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring zero_zero_complex:complex
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae6c8>, <kernel.Constant object at 0x2aad43baee60>) of role type named sy_c_Groups_Ozero__class_Ozero_001tf__a
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring zero_zero_a:a
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae2d8>, <kernel.DependentProduct object at 0x2aad43b81ea8>) of role type named sy_c_Orderings_Otop__class_Otop_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring top_top_complex_o:(complex->Prop)
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae050>, <kernel.DependentProduct object at 0x2aad43b81cb0>) of role type named sy_c_Orderings_Otop__class_Otop_001_062_Itf__a_M_Eo_J
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring top_top_a_o:(a->Prop)
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x2aad43baea70>, <kernel.Constant object at 0x2aad43bae2d8>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__Complex__Ocomplex_Mtf__a_J_J
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring top_to525076535plex_a:set_complex_a
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae6c8>, <kernel.Constant object at 0x2aad43bae050>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring top_to1446257885l_real:set_real_real
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x2aad43b81cb0>, <kernel.Constant object at 0x2aad43bae050>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__Real__Oreal_Mtf__a_J_J
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring top_top_set_real_a:set_real_a
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae2d8>, <kernel.Constant object at 0x2aad43bae6c8>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_Itf__a_Mt__Complex__Ocomplex_J_J
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring top_to2109114701omplex:set_a_complex
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae098>, <kernel.Constant object at 0x2aad4b67f518>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_Itf__a_Mtf__a_J_J
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring top_top_set_a_a:set_a_a
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae6c8>, <kernel.Constant object at 0x2aad4b67f7e8>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring top_top_set_complex:set_complex
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae098>, <kernel.Constant object at 0x2aad4b67f908>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring top_top_set_real:set_real
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae050>, <kernel.Constant object at 0x2aad4b67f908>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_Itf__a_J
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring top_top_set_a:set_a
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x2aad43bae050>, <kernel.DependentProduct object at 0x128cea8>) of role type named sy_c_Path__Connected_Oarc_001t__Complex__Ocomplex
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring path_arc_complex:((real->complex)->Prop)
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x2aad4b67fcf8>, <kernel.DependentProduct object at 0x128cea8>) of role type named sy_c_Path__Connected_Oarc_001t__Real__Oreal
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring path_arc_real:((real->real)->Prop)
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x2aad4b67f7e8>, <kernel.DependentProduct object at 0x128cea8>) of role type named sy_c_Path__Connected_Oarc_001tf__a
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring path_arc_a:((real->a)->Prop)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x2aad4b67fcf8>, <kernel.DependentProduct object at 0x128cf38>) of role type named sy_c_Path__Connected_Opath_001t__Complex__Ocomplex
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring path_path_complex:((real->complex)->Prop)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x2aad4b67f7e8>, <kernel.DependentProduct object at 0x128cc68>) of role type named sy_c_Path__Connected_Opath_001t__Real__Oreal
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring path_path_real:((real->real)->Prop)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x128cc68>, <kernel.DependentProduct object at 0x128ce18>) of role type named sy_c_Path__Connected_Opath_001tf__a
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring path_path_a:((real->a)->Prop)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x128cbd8>, <kernel.DependentProduct object at 0x12957a0>) of role type named sy_c_Path__Connected_Opathfinish_001t__Complex__Ocomplex
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring path_p769714271omplex:((real->complex)->complex)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x128ce18>, <kernel.DependentProduct object at 0x1295f38>) of role type named sy_c_Path__Connected_Opathfinish_001t__Real__Oreal
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring path_pathfinish_real:((real->real)->real)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x128cbd8>, <kernel.DependentProduct object at 0x12957a0>) of role type named sy_c_Path__Connected_Opathfinish_001tf__a
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring path_pathfinish_a:((real->a)->a)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x128ccf8>, <kernel.DependentProduct object at 0x1295f38>) of role type named sy_c_Path__Connected_Opathstart_001t__Complex__Ocomplex
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring path_p797330068omplex:((real->complex)->complex)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x128ccf8>, <kernel.DependentProduct object at 0x1295a28>) of role type named sy_c_Path__Connected_Opathstart_001t__Real__Oreal
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring path_pathstart_real:((real->real)->real)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x2aad4b67f7a0>, <kernel.DependentProduct object at 0x1295f38>) of role type named sy_c_Path__Connected_Opathstart_001tf__a
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring path_pathstart_a:((real->a)->a)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x2aad4b67fcf8>, <kernel.DependentProduct object at 0x12957a0>) of role type named sy_c_Path__Connected_Orectpath
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring path_rectpath:(complex->(complex->(real->complex)))
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x2aad4b67f290>, <kernel.DependentProduct object at 0x1295a28>) of role type named sy_c_Path__Connected_Osimple__path_001t__Complex__Ocomplex
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring path_s36253918omplex:((real->complex)->Prop)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x2aad4b67f290>, <kernel.DependentProduct object at 0x1295830>) of role type named sy_c_Path__Connected_Osimple__path_001t__Real__Oreal
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring path_s1005760220h_real:((real->real)->Prop)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x1295878>, <kernel.DependentProduct object at 0x2aad43bac200>) of role type named sy_c_Path__Connected_Osimple__path_001tf__a
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring path_simple_path_a:((real->a)->Prop)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x1295a28>, <kernel.DependentProduct object at 0x2aad43bac248>) of role type named sy_c_Poincare__Bendixson__Mirabelle__pwkwpzhsyu_Oc1__on__open__R2_Ocomplex__of_001tf__a
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring poinca1910941596x_of_a:(a->complex)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x12958c0>, <kernel.DependentProduct object at 0x2aad43bac1b8>) of role type named sy_c_Poincare__Bendixson__Mirabelle__pwkwpzhsyu_Oc1__on__open__R2_Oreal__of_001tf__a
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring poinca837721858l_of_a:(complex->a)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x1295878>, <kernel.DependentProduct object at 0x2aad43bac200>) of role type named sy_c_Real__Vector__Spaces_Obounded__linear_001t__Complex__Ocomplex_001tf__a
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring real_V762982918plex_a:((complex->a)->Prop)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x12958c0>, <kernel.DependentProduct object at 0x2aad43bac1b8>) of role type named sy_c_Real__Vector__Spaces_Obounded__linear_001tf__a_001t__Complex__Ocomplex
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring real_V912435428omplex:((a->complex)->Prop)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x1295a28>, <kernel.DependentProduct object at 0x2aad43bac170>) of role type named sy_c_Real__Vector__Spaces_Obounded__linear__axioms_001t__Complex__Ocomplex_001tf__a
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring real_V301987619plex_a:((complex->a)->Prop)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x12958c0>, <kernel.DependentProduct object at 0x2aad43bac248>) of role type named sy_c_Real__Vector__Spaces_Obounded__linear__axioms_001tf__a_001t__Complex__Ocomplex
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring real_V451440129omplex:((a->complex)->Prop)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x12958c0>, <kernel.DependentProduct object at 0x2aad43bac050>) of role type named sy_c_Real__Vector__Spaces_Olinear_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring real_V670066493omplex:((complex->complex)->Prop)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x2aad43bac2d8>, <kernel.DependentProduct object at 0x2aad43bac128>) of role type named sy_c_Real__Vector__Spaces_Olinear_001t__Complex__Ocomplex_001tf__a
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring real_V1327653935plex_a:((complex->a)->Prop)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x2aad43bac320>, <kernel.DependentProduct object at 0x2aad43bac098>) of role type named sy_c_Real__Vector__Spaces_Olinear_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring real_V1948715323omplex:((real->complex)->Prop)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x2aad43bac368>, <kernel.DependentProduct object at 0x2aad43bac200>) of role type named sy_c_Real__Vector__Spaces_Olinear_001t__Real__Oreal_001t__Real__Oreal
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring real_V1354572473l_real:((real->real)->Prop)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x2aad43bac3b0>, <kernel.DependentProduct object at 0x2aad43bac0e0>) of role type named sy_c_Real__Vector__Spaces_Olinear_001t__Real__Oreal_001tf__a
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring real_V779700657real_a:((real->a)->Prop)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x2aad43bac3f8>, <kernel.DependentProduct object at 0x2aad43bac2d8>) of role type named sy_c_Real__Vector__Spaces_Olinear_001tf__a_001t__Complex__Ocomplex
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring real_V1477106445omplex:((a->complex)->Prop)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x2aad43bac440>, <kernel.DependentProduct object at 0x2aad43bac320>) of role type named sy_c_Real__Vector__Spaces_Olinear_001tf__a_001tf__a
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring real_V202220639ar_a_a:((a->a)->Prop)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x2aad43bac488>, <kernel.DependentProduct object at 0x2aad43bac518>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring collect_complex:((complex->Prop)->set_complex)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x2aad43bac4d0>, <kernel.DependentProduct object at 0x2aad43bac560>) of role type named sy_c_Set_OCollect_001tf__a
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring collect_a:((a->Prop)->set_a)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x2aad43bac1b8>, <kernel.DependentProduct object at 0x2aad43bac4d0>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring member_complex:(complex->(set_complex->Prop))
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x2aad43bac2d8>, <kernel.DependentProduct object at 0x2aad43bac440>) of role type named sy_c_member_001tf__a
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring member_a:(a->(set_a->Prop))
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x2aad43bac560>, <kernel.DependentProduct object at 0x2aad43bac638>) of role type named sy_v_c
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring c:(real->a)
% 0.48/0.64  FOF formula (((eq a) (path_pathfinish_a c)) (path_pathstart_a c)) of role axiom named fact_0_assms_I2_J
% 0.48/0.64  A new axiom: (((eq a) (path_pathfinish_a c)) (path_pathstart_a c))
% 0.48/0.64  FOF formula (path_simple_path_a c) of role axiom named fact_1_assms_I1_J
% 0.48/0.64  A new axiom: (path_simple_path_a c)
% 0.48/0.64  FOF formula (path_s36253918omplex ((comp_a_complex_real poinca1910941596x_of_a) c)) of role axiom named fact_2_a1
% 0.48/0.64  A new axiom: (path_s36253918omplex ((comp_a_complex_real poinca1910941596x_of_a) c))
% 0.48/0.66  FOF formula (((eq ((real->a)->((real->real)->(real->a)))) comp_real_a_real) (fun (F:(real->a)) (G:(real->real)) (X:real)=> (F (G X)))) of role axiom named fact_3_comp__apply
% 0.48/0.66  A new axiom: (((eq ((real->a)->((real->real)->(real->a)))) comp_real_a_real) (fun (F:(real->a)) (G:(real->real)) (X:real)=> (F (G X))))
% 0.48/0.66  FOF formula (((eq ((a->complex)->((a->a)->(a->complex)))) comp_a_complex_a) (fun (F:(a->complex)) (G:(a->a)) (X:a)=> (F (G X)))) of role axiom named fact_4_comp__apply
% 0.48/0.66  A new axiom: (((eq ((a->complex)->((a->a)->(a->complex)))) comp_a_complex_a) (fun (F:(a->complex)) (G:(a->a)) (X:a)=> (F (G X))))
% 0.48/0.66  FOF formula (((eq ((a->a)->((complex->a)->(complex->a)))) comp_a_a_complex) (fun (F:(a->a)) (G:(complex->a)) (X:complex)=> (F (G X)))) of role axiom named fact_5_comp__apply
% 0.48/0.66  A new axiom: (((eq ((a->a)->((complex->a)->(complex->a)))) comp_a_a_complex) (fun (F:(a->a)) (G:(complex->a)) (X:complex)=> (F (G X))))
% 0.48/0.66  FOF formula (((eq ((a->a)->((real->a)->(real->a)))) comp_a_a_real) (fun (F:(a->a)) (G:(real->a)) (X:real)=> (F (G X)))) of role axiom named fact_6_comp__apply
% 0.48/0.66  A new axiom: (((eq ((a->a)->((real->a)->(real->a)))) comp_a_a_real) (fun (F:(a->a)) (G:(real->a)) (X:real)=> (F (G X))))
% 0.48/0.66  FOF formula (((eq ((a->a)->((a->a)->(a->a)))) comp_a_a_a) (fun (F:(a->a)) (G:(a->a)) (X:a)=> (F (G X)))) of role axiom named fact_7_comp__apply
% 0.48/0.66  A new axiom: (((eq ((a->a)->((a->a)->(a->a)))) comp_a_a_a) (fun (F:(a->a)) (G:(a->a)) (X:a)=> (F (G X))))
% 0.48/0.66  FOF formula (((eq ((a->complex)->((real->a)->(real->complex)))) comp_a_complex_real) (fun (F:(a->complex)) (G:(real->a)) (X:real)=> (F (G X)))) of role axiom named fact_8_comp__apply
% 0.48/0.66  A new axiom: (((eq ((a->complex)->((real->a)->(real->complex)))) comp_a_complex_real) (fun (F:(a->complex)) (G:(real->a)) (X:real)=> (F (G X))))
% 0.48/0.66  FOF formula (((eq ((a->complex)->((complex->a)->(complex->complex)))) comp_a1063143865omplex) (fun (F:(a->complex)) (G:(complex->a)) (X:complex)=> (F (G X)))) of role axiom named fact_9_comp__apply
% 0.48/0.66  A new axiom: (((eq ((a->complex)->((complex->a)->(complex->complex)))) comp_a1063143865omplex) (fun (F:(a->complex)) (G:(complex->a)) (X:complex)=> (F (G X))))
% 0.48/0.66  FOF formula (((eq ((complex->a)->((a->complex)->(a->a)))) comp_complex_a_a) (fun (F:(complex->a)) (G:(a->complex)) (X:a)=> (F (G X)))) of role axiom named fact_10_comp__apply
% 0.48/0.66  A new axiom: (((eq ((complex->a)->((a->complex)->(a->a)))) comp_complex_a_a) (fun (F:(complex->a)) (G:(a->complex)) (X:a)=> (F (G X))))
% 0.48/0.66  FOF formula (forall (F2:(real->a)) (P:(real->real)), (((eq a) (path_pathfinish_a ((comp_real_a_real F2) P))) (F2 (path_pathfinish_real P)))) of role axiom named fact_11_pathfinish__compose
% 0.48/0.66  A new axiom: (forall (F2:(real->a)) (P:(real->real)), (((eq a) (path_pathfinish_a ((comp_real_a_real F2) P))) (F2 (path_pathfinish_real P))))
% 0.48/0.66  FOF formula (forall (F2:(complex->complex)) (P:(real->complex)), (((eq complex) (path_p769714271omplex ((comp_c595887981x_real F2) P))) (F2 (path_p769714271omplex P)))) of role axiom named fact_12_pathfinish__compose
% 0.48/0.66  A new axiom: (forall (F2:(complex->complex)) (P:(real->complex)), (((eq complex) (path_p769714271omplex ((comp_c595887981x_real F2) P))) (F2 (path_p769714271omplex P))))
% 0.48/0.66  FOF formula (forall (F2:(a->complex)) (P:(real->a)), (((eq complex) (path_p769714271omplex ((comp_a_complex_real F2) P))) (F2 (path_pathfinish_a P)))) of role axiom named fact_13_pathfinish__compose
% 0.48/0.66  A new axiom: (forall (F2:(a->complex)) (P:(real->a)), (((eq complex) (path_p769714271omplex ((comp_a_complex_real F2) P))) (F2 (path_pathfinish_a P))))
% 0.48/0.66  FOF formula (forall (F2:(complex->a)) (P:(real->complex)), (((eq a) (path_pathfinish_a ((comp_complex_a_real F2) P))) (F2 (path_p769714271omplex P)))) of role axiom named fact_14_pathfinish__compose
% 0.48/0.66  A new axiom: (forall (F2:(complex->a)) (P:(real->complex)), (((eq a) (path_pathfinish_a ((comp_complex_a_real F2) P))) (F2 (path_p769714271omplex P))))
% 0.48/0.66  FOF formula (forall (F2:(a->a)) (P:(real->a)), (((eq a) (path_pathfinish_a ((comp_a_a_real F2) P))) (F2 (path_pathfinish_a P)))) of role axiom named fact_15_pathfinish__compose
% 0.51/0.67  A new axiom: (forall (F2:(a->a)) (P:(real->a)), (((eq a) (path_pathfinish_a ((comp_a_a_real F2) P))) (F2 (path_pathfinish_a P))))
% 0.51/0.67  FOF formula (forall (F2:(real->a)) (P:(real->real)), (((eq a) (path_pathstart_a ((comp_real_a_real F2) P))) (F2 (path_pathstart_real P)))) of role axiom named fact_16_pathstart__compose
% 0.51/0.67  A new axiom: (forall (F2:(real->a)) (P:(real->real)), (((eq a) (path_pathstart_a ((comp_real_a_real F2) P))) (F2 (path_pathstart_real P))))
% 0.51/0.67  FOF formula (forall (F2:(complex->complex)) (P:(real->complex)), (((eq complex) (path_p797330068omplex ((comp_c595887981x_real F2) P))) (F2 (path_p797330068omplex P)))) of role axiom named fact_17_pathstart__compose
% 0.51/0.67  A new axiom: (forall (F2:(complex->complex)) (P:(real->complex)), (((eq complex) (path_p797330068omplex ((comp_c595887981x_real F2) P))) (F2 (path_p797330068omplex P))))
% 0.51/0.67  FOF formula (forall (F2:(a->complex)) (P:(real->a)), (((eq complex) (path_p797330068omplex ((comp_a_complex_real F2) P))) (F2 (path_pathstart_a P)))) of role axiom named fact_18_pathstart__compose
% 0.51/0.67  A new axiom: (forall (F2:(a->complex)) (P:(real->a)), (((eq complex) (path_p797330068omplex ((comp_a_complex_real F2) P))) (F2 (path_pathstart_a P))))
% 0.51/0.67  FOF formula (forall (F2:(complex->a)) (P:(real->complex)), (((eq a) (path_pathstart_a ((comp_complex_a_real F2) P))) (F2 (path_p797330068omplex P)))) of role axiom named fact_19_pathstart__compose
% 0.51/0.67  A new axiom: (forall (F2:(complex->a)) (P:(real->complex)), (((eq a) (path_pathstart_a ((comp_complex_a_real F2) P))) (F2 (path_p797330068omplex P))))
% 0.51/0.67  FOF formula (forall (F2:(a->a)) (P:(real->a)), (((eq a) (path_pathstart_a ((comp_a_a_real F2) P))) (F2 (path_pathstart_a P)))) of role axiom named fact_20_pathstart__compose
% 0.51/0.67  A new axiom: (forall (F2:(a->a)) (P:(real->a)), (((eq a) (path_pathstart_a ((comp_a_a_real F2) P))) (F2 (path_pathstart_a P))))
% 0.51/0.67  FOF formula (real_V912435428omplex poinca1910941596x_of_a) of role axiom named fact_21_complex__of__bounded__linear
% 0.51/0.67  A new axiom: (real_V912435428omplex poinca1910941596x_of_a)
% 0.51/0.67  FOF formula (real_V1477106445omplex poinca1910941596x_of_a) of role axiom named fact_22_complex__of__linear
% 0.51/0.67  A new axiom: (real_V1477106445omplex poinca1910941596x_of_a)
% 0.51/0.67  FOF formula (((eq ((real->a)->((real->real)->(real->a)))) comp_real_a_real) (fun (F:(real->a)) (G:(real->real)) (X:real)=> (F (G X)))) of role axiom named fact_23_comp__def
% 0.51/0.67  A new axiom: (((eq ((real->a)->((real->real)->(real->a)))) comp_real_a_real) (fun (F:(real->a)) (G:(real->real)) (X:real)=> (F (G X))))
% 0.51/0.67  FOF formula (((eq ((a->complex)->((a->a)->(a->complex)))) comp_a_complex_a) (fun (F:(a->complex)) (G:(a->a)) (X:a)=> (F (G X)))) of role axiom named fact_24_comp__def
% 0.51/0.67  A new axiom: (((eq ((a->complex)->((a->a)->(a->complex)))) comp_a_complex_a) (fun (F:(a->complex)) (G:(a->a)) (X:a)=> (F (G X))))
% 0.51/0.67  FOF formula (((eq ((a->a)->((complex->a)->(complex->a)))) comp_a_a_complex) (fun (F:(a->a)) (G:(complex->a)) (X:complex)=> (F (G X)))) of role axiom named fact_25_comp__def
% 0.51/0.67  A new axiom: (((eq ((a->a)->((complex->a)->(complex->a)))) comp_a_a_complex) (fun (F:(a->a)) (G:(complex->a)) (X:complex)=> (F (G X))))
% 0.51/0.67  FOF formula (((eq ((a->a)->((real->a)->(real->a)))) comp_a_a_real) (fun (F:(a->a)) (G:(real->a)) (X:real)=> (F (G X)))) of role axiom named fact_26_comp__def
% 0.51/0.67  A new axiom: (((eq ((a->a)->((real->a)->(real->a)))) comp_a_a_real) (fun (F:(a->a)) (G:(real->a)) (X:real)=> (F (G X))))
% 0.51/0.67  FOF formula (((eq ((a->a)->((a->a)->(a->a)))) comp_a_a_a) (fun (F:(a->a)) (G:(a->a)) (X:a)=> (F (G X)))) of role axiom named fact_27_comp__def
% 0.51/0.67  A new axiom: (((eq ((a->a)->((a->a)->(a->a)))) comp_a_a_a) (fun (F:(a->a)) (G:(a->a)) (X:a)=> (F (G X))))
% 0.51/0.67  FOF formula (((eq ((a->complex)->((real->a)->(real->complex)))) comp_a_complex_real) (fun (F:(a->complex)) (G:(real->a)) (X:real)=> (F (G X)))) of role axiom named fact_28_comp__def
% 0.51/0.67  A new axiom: (((eq ((a->complex)->((real->a)->(real->complex)))) comp_a_complex_real) (fun (F:(a->complex)) (G:(real->a)) (X:real)=> (F (G X))))
% 0.51/0.67  FOF formula (((eq ((a->complex)->((complex->a)->(complex->complex)))) comp_a1063143865omplex) (fun (F:(a->complex)) (G:(complex->a)) (X:complex)=> (F (G X)))) of role axiom named fact_29_comp__def
% 0.51/0.68  A new axiom: (((eq ((a->complex)->((complex->a)->(complex->complex)))) comp_a1063143865omplex) (fun (F:(a->complex)) (G:(complex->a)) (X:complex)=> (F (G X))))
% 0.51/0.68  FOF formula (((eq ((complex->a)->((a->complex)->(a->a)))) comp_complex_a_a) (fun (F:(complex->a)) (G:(a->complex)) (X:a)=> (F (G X)))) of role axiom named fact_30_comp__def
% 0.51/0.68  A new axiom: (((eq ((complex->a)->((a->complex)->(a->a)))) comp_complex_a_a) (fun (F:(complex->a)) (G:(a->complex)) (X:a)=> (F (G X))))
% 0.51/0.68  FOF formula (forall (F2:(a->complex)) (G2:(real->a)) (H:(real->real)), (((eq (real->complex)) ((comp_r701421291x_real ((comp_a_complex_real F2) G2)) H)) ((comp_a_complex_real F2) ((comp_real_a_real G2) H)))) of role axiom named fact_31_comp__assoc
% 0.51/0.68  A new axiom: (forall (F2:(a->complex)) (G2:(real->a)) (H:(real->real)), (((eq (real->complex)) ((comp_r701421291x_real ((comp_a_complex_real F2) G2)) H)) ((comp_a_complex_real F2) ((comp_real_a_real G2) H))))
% 0.51/0.68  FOF formula (forall (F2:(a->complex)) (G2:(real->a)) (H:(complex->real)), (((eq (complex->complex)) ((comp_r667767405omplex ((comp_a_complex_real F2) G2)) H)) ((comp_a1063143865omplex F2) ((comp_real_a_complex G2) H)))) of role axiom named fact_32_comp__assoc
% 0.51/0.68  A new axiom: (forall (F2:(a->complex)) (G2:(real->a)) (H:(complex->real)), (((eq (complex->complex)) ((comp_r667767405omplex ((comp_a_complex_real F2) G2)) H)) ((comp_a1063143865omplex F2) ((comp_real_a_complex G2) H))))
% 0.51/0.68  FOF formula (forall (F2:(a->complex)) (G2:(complex->a)) (H:(a->complex)), (((eq (a->complex)) ((comp_c124850173plex_a ((comp_a1063143865omplex F2) G2)) H)) ((comp_a_complex_a F2) ((comp_complex_a_a G2) H)))) of role axiom named fact_33_comp__assoc
% 0.51/0.68  A new axiom: (forall (F2:(a->complex)) (G2:(complex->a)) (H:(a->complex)), (((eq (a->complex)) ((comp_c124850173plex_a ((comp_a1063143865omplex F2) G2)) H)) ((comp_a_complex_a F2) ((comp_complex_a_a G2) H))))
% 0.51/0.68  FOF formula (forall (F2:(a->complex)) (G2:(complex->a)) (H:(real->complex)), (((eq (real->complex)) ((comp_c595887981x_real ((comp_a1063143865omplex F2) G2)) H)) ((comp_a_complex_real F2) ((comp_complex_a_real G2) H)))) of role axiom named fact_34_comp__assoc
% 0.51/0.68  A new axiom: (forall (F2:(a->complex)) (G2:(complex->a)) (H:(real->complex)), (((eq (real->complex)) ((comp_c595887981x_real ((comp_a1063143865omplex F2) G2)) H)) ((comp_a_complex_real F2) ((comp_complex_a_real G2) H))))
% 0.51/0.68  FOF formula (forall (F2:(a->complex)) (G2:(complex->a)) (H:(complex->complex)), (((eq (complex->complex)) ((comp_c130555887omplex ((comp_a1063143865omplex F2) G2)) H)) ((comp_a1063143865omplex F2) ((comp_c274302683omplex G2) H)))) of role axiom named fact_35_comp__assoc
% 0.51/0.68  A new axiom: (forall (F2:(a->complex)) (G2:(complex->a)) (H:(complex->complex)), (((eq (complex->complex)) ((comp_c130555887omplex ((comp_a1063143865omplex F2) G2)) H)) ((comp_a1063143865omplex F2) ((comp_c274302683omplex G2) H))))
% 0.51/0.68  FOF formula (forall (F2:(complex->a)) (G2:(a->complex)) (H:(real->a)), (((eq (real->a)) ((comp_a_a_real ((comp_complex_a_a F2) G2)) H)) ((comp_complex_a_real F2) ((comp_a_complex_real G2) H)))) of role axiom named fact_36_comp__assoc
% 0.51/0.68  A new axiom: (forall (F2:(complex->a)) (G2:(a->complex)) (H:(real->a)), (((eq (real->a)) ((comp_a_a_real ((comp_complex_a_a F2) G2)) H)) ((comp_complex_a_real F2) ((comp_a_complex_real G2) H))))
% 0.51/0.68  FOF formula (forall (F2:(complex->a)) (G2:(a->complex)) (H:(complex->a)), (((eq (complex->a)) ((comp_a_a_complex ((comp_complex_a_a F2) G2)) H)) ((comp_c274302683omplex F2) ((comp_a1063143865omplex G2) H)))) of role axiom named fact_37_comp__assoc
% 0.51/0.68  A new axiom: (forall (F2:(complex->a)) (G2:(a->complex)) (H:(complex->a)), (((eq (complex->a)) ((comp_a_a_complex ((comp_complex_a_a F2) G2)) H)) ((comp_c274302683omplex F2) ((comp_a1063143865omplex G2) H))))
% 0.51/0.68  FOF formula (forall (F2:(complex->a)) (G2:(a->complex)) (H:(a->a)), (((eq (a->a)) ((comp_a_a_a ((comp_complex_a_a F2) G2)) H)) ((comp_complex_a_a F2) ((comp_a_complex_a G2) H)))) of role axiom named fact_38_comp__assoc
% 0.51/0.68  A new axiom: (forall (F2:(complex->a)) (G2:(a->complex)) (H:(a->a)), (((eq (a->a)) ((comp_a_a_a ((comp_complex_a_a F2) G2)) H)) ((comp_complex_a_a F2) ((comp_a_complex_a G2) H))))
% 0.51/0.70  FOF formula (forall (F2:(complex->complex)) (G2:(a->complex)) (H:(real->a)), (((eq (real->complex)) ((comp_a_complex_real ((comp_c124850173plex_a F2) G2)) H)) ((comp_c595887981x_real F2) ((comp_a_complex_real G2) H)))) of role axiom named fact_39_comp__assoc
% 0.51/0.70  A new axiom: (forall (F2:(complex->complex)) (G2:(a->complex)) (H:(real->a)), (((eq (real->complex)) ((comp_a_complex_real ((comp_c124850173plex_a F2) G2)) H)) ((comp_c595887981x_real F2) ((comp_a_complex_real G2) H))))
% 0.51/0.70  FOF formula (forall (F2:(a->complex)) (G2:(a->a)) (H:(real->a)), (((eq (real->complex)) ((comp_a_complex_real ((comp_a_complex_a F2) G2)) H)) ((comp_a_complex_real F2) ((comp_a_a_real G2) H)))) of role axiom named fact_40_comp__assoc
% 0.51/0.70  A new axiom: (forall (F2:(a->complex)) (G2:(a->a)) (H:(real->a)), (((eq (real->complex)) ((comp_a_complex_real ((comp_a_complex_a F2) G2)) H)) ((comp_a_complex_real F2) ((comp_a_a_real G2) H))))
% 0.51/0.70  FOF formula (forall (A:(a->complex)) (B:(real->a)) (C:(a->complex)) (D:(real->a)) (V:real), ((((eq (real->complex)) ((comp_a_complex_real A) B)) ((comp_a_complex_real C) D))->(((eq complex) (A (B V))) (C (D V))))) of role axiom named fact_41_comp__eq__dest
% 0.51/0.70  A new axiom: (forall (A:(a->complex)) (B:(real->a)) (C:(a->complex)) (D:(real->a)) (V:real), ((((eq (real->complex)) ((comp_a_complex_real A) B)) ((comp_a_complex_real C) D))->(((eq complex) (A (B V))) (C (D V)))))
% 0.51/0.70  FOF formula (forall (A:(a->complex)) (B:(complex->a)) (C:(a->complex)) (D:(complex->a)) (V:complex), ((((eq (complex->complex)) ((comp_a1063143865omplex A) B)) ((comp_a1063143865omplex C) D))->(((eq complex) (A (B V))) (C (D V))))) of role axiom named fact_42_comp__eq__dest
% 0.51/0.70  A new axiom: (forall (A:(a->complex)) (B:(complex->a)) (C:(a->complex)) (D:(complex->a)) (V:complex), ((((eq (complex->complex)) ((comp_a1063143865omplex A) B)) ((comp_a1063143865omplex C) D))->(((eq complex) (A (B V))) (C (D V)))))
% 0.51/0.70  FOF formula (forall (A:(complex->a)) (B:(a->complex)) (C:(complex->a)) (D:(a->complex)) (V:a), ((((eq (a->a)) ((comp_complex_a_a A) B)) ((comp_complex_a_a C) D))->(((eq a) (A (B V))) (C (D V))))) of role axiom named fact_43_comp__eq__dest
% 0.51/0.70  A new axiom: (forall (A:(complex->a)) (B:(a->complex)) (C:(complex->a)) (D:(a->complex)) (V:a), ((((eq (a->a)) ((comp_complex_a_a A) B)) ((comp_complex_a_a C) D))->(((eq a) (A (B V))) (C (D V)))))
% 0.51/0.70  FOF formula (forall (A:(complex->a)) (B:(a->complex)) (C:(a->a)) (D:(a->a)) (V:a), ((((eq (a->a)) ((comp_complex_a_a A) B)) ((comp_a_a_a C) D))->(((eq a) (A (B V))) (C (D V))))) of role axiom named fact_44_comp__eq__dest
% 0.51/0.70  A new axiom: (forall (A:(complex->a)) (B:(a->complex)) (C:(a->a)) (D:(a->a)) (V:a), ((((eq (a->a)) ((comp_complex_a_a A) B)) ((comp_a_a_a C) D))->(((eq a) (A (B V))) (C (D V)))))
% 0.51/0.70  FOF formula (forall (A:(real->a)) (B:(real->real)) (C:(real->a)) (D:(real->real)) (V:real), ((((eq (real->a)) ((comp_real_a_real A) B)) ((comp_real_a_real C) D))->(((eq a) (A (B V))) (C (D V))))) of role axiom named fact_45_comp__eq__dest
% 0.51/0.70  A new axiom: (forall (A:(real->a)) (B:(real->real)) (C:(real->a)) (D:(real->real)) (V:real), ((((eq (real->a)) ((comp_real_a_real A) B)) ((comp_real_a_real C) D))->(((eq a) (A (B V))) (C (D V)))))
% 0.51/0.70  FOF formula (forall (A:(real->a)) (B:(real->real)) (C:(a->a)) (D:(real->a)) (V:real), ((((eq (real->a)) ((comp_real_a_real A) B)) ((comp_a_a_real C) D))->(((eq a) (A (B V))) (C (D V))))) of role axiom named fact_46_comp__eq__dest
% 0.51/0.70  A new axiom: (forall (A:(real->a)) (B:(real->real)) (C:(a->a)) (D:(real->a)) (V:real), ((((eq (real->a)) ((comp_real_a_real A) B)) ((comp_a_a_real C) D))->(((eq a) (A (B V))) (C (D V)))))
% 0.51/0.70  FOF formula (forall (A:(a->complex)) (B:(a->a)) (C:(a->complex)) (D:(a->a)) (V:a), ((((eq (a->complex)) ((comp_a_complex_a A) B)) ((comp_a_complex_a C) D))->(((eq complex) (A (B V))) (C (D V))))) of role axiom named fact_47_comp__eq__dest
% 0.51/0.70  A new axiom: (forall (A:(a->complex)) (B:(a->a)) (C:(a->complex)) (D:(a->a)) (V:a), ((((eq (a->complex)) ((comp_a_complex_a A) B)) ((comp_a_complex_a C) D))->(((eq complex) (A (B V))) (C (D V)))))
% 0.51/0.72  FOF formula (forall (A:(a->a)) (B:(complex->a)) (C:(a->a)) (D:(complex->a)) (V:complex), ((((eq (complex->a)) ((comp_a_a_complex A) B)) ((comp_a_a_complex C) D))->(((eq a) (A (B V))) (C (D V))))) of role axiom named fact_48_comp__eq__dest
% 0.51/0.72  A new axiom: (forall (A:(a->a)) (B:(complex->a)) (C:(a->a)) (D:(complex->a)) (V:complex), ((((eq (complex->a)) ((comp_a_a_complex A) B)) ((comp_a_a_complex C) D))->(((eq a) (A (B V))) (C (D V)))))
% 0.51/0.72  FOF formula (forall (A:(a->a)) (B:(real->a)) (C:(real->a)) (D:(real->real)) (V:real), ((((eq (real->a)) ((comp_a_a_real A) B)) ((comp_real_a_real C) D))->(((eq a) (A (B V))) (C (D V))))) of role axiom named fact_49_comp__eq__dest
% 0.51/0.72  A new axiom: (forall (A:(a->a)) (B:(real->a)) (C:(real->a)) (D:(real->real)) (V:real), ((((eq (real->a)) ((comp_a_a_real A) B)) ((comp_real_a_real C) D))->(((eq a) (A (B V))) (C (D V)))))
% 0.51/0.72  FOF formula (forall (A:(a->a)) (B:(real->a)) (C:(a->a)) (D:(real->a)) (V:real), ((((eq (real->a)) ((comp_a_a_real A) B)) ((comp_a_a_real C) D))->(((eq a) (A (B V))) (C (D V))))) of role axiom named fact_50_comp__eq__dest
% 0.51/0.72  A new axiom: (forall (A:(a->a)) (B:(real->a)) (C:(a->a)) (D:(real->a)) (V:real), ((((eq (real->a)) ((comp_a_a_real A) B)) ((comp_a_a_real C) D))->(((eq a) (A (B V))) (C (D V)))))
% 0.51/0.72  FOF formula (forall (A:(a->complex)) (B:(real->a)) (C:(a->complex)) (D:(real->a)), ((((eq (real->complex)) ((comp_a_complex_real A) B)) ((comp_a_complex_real C) D))->(forall (V2:real), (((eq complex) (A (B V2))) (C (D V2)))))) of role axiom named fact_51_comp__eq__elim
% 0.51/0.72  A new axiom: (forall (A:(a->complex)) (B:(real->a)) (C:(a->complex)) (D:(real->a)), ((((eq (real->complex)) ((comp_a_complex_real A) B)) ((comp_a_complex_real C) D))->(forall (V2:real), (((eq complex) (A (B V2))) (C (D V2))))))
% 0.51/0.72  FOF formula (forall (A:(a->complex)) (B:(complex->a)) (C:(a->complex)) (D:(complex->a)), ((((eq (complex->complex)) ((comp_a1063143865omplex A) B)) ((comp_a1063143865omplex C) D))->(forall (V2:complex), (((eq complex) (A (B V2))) (C (D V2)))))) of role axiom named fact_52_comp__eq__elim
% 0.51/0.72  A new axiom: (forall (A:(a->complex)) (B:(complex->a)) (C:(a->complex)) (D:(complex->a)), ((((eq (complex->complex)) ((comp_a1063143865omplex A) B)) ((comp_a1063143865omplex C) D))->(forall (V2:complex), (((eq complex) (A (B V2))) (C (D V2))))))
% 0.51/0.72  FOF formula (forall (A:(complex->a)) (B:(a->complex)) (C:(complex->a)) (D:(a->complex)), ((((eq (a->a)) ((comp_complex_a_a A) B)) ((comp_complex_a_a C) D))->(forall (V2:a), (((eq a) (A (B V2))) (C (D V2)))))) of role axiom named fact_53_comp__eq__elim
% 0.51/0.72  A new axiom: (forall (A:(complex->a)) (B:(a->complex)) (C:(complex->a)) (D:(a->complex)), ((((eq (a->a)) ((comp_complex_a_a A) B)) ((comp_complex_a_a C) D))->(forall (V2:a), (((eq a) (A (B V2))) (C (D V2))))))
% 0.51/0.72  FOF formula (forall (A:(complex->a)) (B:(a->complex)) (C:(a->a)) (D:(a->a)), ((((eq (a->a)) ((comp_complex_a_a A) B)) ((comp_a_a_a C) D))->(forall (V2:a), (((eq a) (A (B V2))) (C (D V2)))))) of role axiom named fact_54_comp__eq__elim
% 0.51/0.72  A new axiom: (forall (A:(complex->a)) (B:(a->complex)) (C:(a->a)) (D:(a->a)), ((((eq (a->a)) ((comp_complex_a_a A) B)) ((comp_a_a_a C) D))->(forall (V2:a), (((eq a) (A (B V2))) (C (D V2))))))
% 0.51/0.72  FOF formula (forall (A:(real->a)) (B:(real->real)) (C:(real->a)) (D:(real->real)), ((((eq (real->a)) ((comp_real_a_real A) B)) ((comp_real_a_real C) D))->(forall (V2:real), (((eq a) (A (B V2))) (C (D V2)))))) of role axiom named fact_55_comp__eq__elim
% 0.51/0.72  A new axiom: (forall (A:(real->a)) (B:(real->real)) (C:(real->a)) (D:(real->real)), ((((eq (real->a)) ((comp_real_a_real A) B)) ((comp_real_a_real C) D))->(forall (V2:real), (((eq a) (A (B V2))) (C (D V2))))))
% 0.51/0.72  FOF formula (forall (A:(real->a)) (B:(real->real)) (C:(a->a)) (D:(real->a)), ((((eq (real->a)) ((comp_real_a_real A) B)) ((comp_a_a_real C) D))->(forall (V2:real), (((eq a) (A (B V2))) (C (D V2)))))) of role axiom named fact_56_comp__eq__elim
% 0.51/0.72  A new axiom: (forall (A:(real->a)) (B:(real->real)) (C:(a->a)) (D:(real->a)), ((((eq (real->a)) ((comp_real_a_real A) B)) ((comp_a_a_real C) D))->(forall (V2:real), (((eq a) (A (B V2))) (C (D V2))))))
% 0.58/0.74  FOF formula (forall (A:(a->complex)) (B:(a->a)) (C:(a->complex)) (D:(a->a)), ((((eq (a->complex)) ((comp_a_complex_a A) B)) ((comp_a_complex_a C) D))->(forall (V2:a), (((eq complex) (A (B V2))) (C (D V2)))))) of role axiom named fact_57_comp__eq__elim
% 0.58/0.74  A new axiom: (forall (A:(a->complex)) (B:(a->a)) (C:(a->complex)) (D:(a->a)), ((((eq (a->complex)) ((comp_a_complex_a A) B)) ((comp_a_complex_a C) D))->(forall (V2:a), (((eq complex) (A (B V2))) (C (D V2))))))
% 0.58/0.74  FOF formula (forall (A:(a->a)) (B:(complex->a)) (C:(a->a)) (D:(complex->a)), ((((eq (complex->a)) ((comp_a_a_complex A) B)) ((comp_a_a_complex C) D))->(forall (V2:complex), (((eq a) (A (B V2))) (C (D V2)))))) of role axiom named fact_58_comp__eq__elim
% 0.58/0.74  A new axiom: (forall (A:(a->a)) (B:(complex->a)) (C:(a->a)) (D:(complex->a)), ((((eq (complex->a)) ((comp_a_a_complex A) B)) ((comp_a_a_complex C) D))->(forall (V2:complex), (((eq a) (A (B V2))) (C (D V2))))))
% 0.58/0.74  FOF formula (forall (A:(a->a)) (B:(real->a)) (C:(real->a)) (D:(real->real)), ((((eq (real->a)) ((comp_a_a_real A) B)) ((comp_real_a_real C) D))->(forall (V2:real), (((eq a) (A (B V2))) (C (D V2)))))) of role axiom named fact_59_comp__eq__elim
% 0.58/0.74  A new axiom: (forall (A:(a->a)) (B:(real->a)) (C:(real->a)) (D:(real->real)), ((((eq (real->a)) ((comp_a_a_real A) B)) ((comp_real_a_real C) D))->(forall (V2:real), (((eq a) (A (B V2))) (C (D V2))))))
% 0.58/0.74  FOF formula (forall (A:(a->a)) (B:(real->a)) (C:(a->a)) (D:(real->a)), ((((eq (real->a)) ((comp_a_a_real A) B)) ((comp_a_a_real C) D))->(forall (V2:real), (((eq a) (A (B V2))) (C (D V2)))))) of role axiom named fact_60_comp__eq__elim
% 0.58/0.74  A new axiom: (forall (A:(a->a)) (B:(real->a)) (C:(a->a)) (D:(real->a)), ((((eq (real->a)) ((comp_a_a_real A) B)) ((comp_a_a_real C) D))->(forall (V2:real), (((eq a) (A (B V2))) (C (D V2))))))
% 0.58/0.74  FOF formula (forall (F2:(a->complex)) (G2:(real->a)) (X2:real) (F3:(a->complex)) (G3:(real->a)) (X3:real), ((((eq complex) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq complex) (((comp_a_complex_real F2) G2) X2)) (((comp_a_complex_real F3) G3) X3)))) of role axiom named fact_61_comp__cong
% 0.58/0.74  A new axiom: (forall (F2:(a->complex)) (G2:(real->a)) (X2:real) (F3:(a->complex)) (G3:(real->a)) (X3:real), ((((eq complex) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq complex) (((comp_a_complex_real F2) G2) X2)) (((comp_a_complex_real F3) G3) X3))))
% 0.58/0.74  FOF formula (forall (F2:(a->complex)) (G2:(real->a)) (X2:real) (F3:(a->complex)) (G3:(complex->a)) (X3:complex), ((((eq complex) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq complex) (((comp_a_complex_real F2) G2) X2)) (((comp_a1063143865omplex F3) G3) X3)))) of role axiom named fact_62_comp__cong
% 0.58/0.74  A new axiom: (forall (F2:(a->complex)) (G2:(real->a)) (X2:real) (F3:(a->complex)) (G3:(complex->a)) (X3:complex), ((((eq complex) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq complex) (((comp_a_complex_real F2) G2) X2)) (((comp_a1063143865omplex F3) G3) X3))))
% 0.58/0.74  FOF formula (forall (F2:(a->complex)) (G2:(real->a)) (X2:real) (F3:(a->complex)) (G3:(a->a)) (X3:a), ((((eq complex) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq complex) (((comp_a_complex_real F2) G2) X2)) (((comp_a_complex_a F3) G3) X3)))) of role axiom named fact_63_comp__cong
% 0.58/0.74  A new axiom: (forall (F2:(a->complex)) (G2:(real->a)) (X2:real) (F3:(a->complex)) (G3:(a->a)) (X3:a), ((((eq complex) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq complex) (((comp_a_complex_real F2) G2) X2)) (((comp_a_complex_a F3) G3) X3))))
% 0.58/0.74  FOF formula (forall (F2:(a->complex)) (G2:(complex->a)) (X2:complex) (F3:(a->complex)) (G3:(real->a)) (X3:real), ((((eq complex) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq complex) (((comp_a1063143865omplex F2) G2) X2)) (((comp_a_complex_real F3) G3) X3)))) of role axiom named fact_64_comp__cong
% 0.58/0.74  A new axiom: (forall (F2:(a->complex)) (G2:(complex->a)) (X2:complex) (F3:(a->complex)) (G3:(real->a)) (X3:real), ((((eq complex) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq complex) (((comp_a1063143865omplex F2) G2) X2)) (((comp_a_complex_real F3) G3) X3))))
% 0.58/0.74  FOF formula (forall (F2:(a->complex)) (G2:(complex->a)) (X2:complex) (F3:(a->complex)) (G3:(complex->a)) (X3:complex), ((((eq complex) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq complex) (((comp_a1063143865omplex F2) G2) X2)) (((comp_a1063143865omplex F3) G3) X3)))) of role axiom named fact_65_comp__cong
% 0.58/0.76  A new axiom: (forall (F2:(a->complex)) (G2:(complex->a)) (X2:complex) (F3:(a->complex)) (G3:(complex->a)) (X3:complex), ((((eq complex) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq complex) (((comp_a1063143865omplex F2) G2) X2)) (((comp_a1063143865omplex F3) G3) X3))))
% 0.58/0.76  FOF formula (forall (F2:(a->complex)) (G2:(complex->a)) (X2:complex) (F3:(a->complex)) (G3:(a->a)) (X3:a), ((((eq complex) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq complex) (((comp_a1063143865omplex F2) G2) X2)) (((comp_a_complex_a F3) G3) X3)))) of role axiom named fact_66_comp__cong
% 0.58/0.76  A new axiom: (forall (F2:(a->complex)) (G2:(complex->a)) (X2:complex) (F3:(a->complex)) (G3:(a->a)) (X3:a), ((((eq complex) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq complex) (((comp_a1063143865omplex F2) G2) X2)) (((comp_a_complex_a F3) G3) X3))))
% 0.58/0.76  FOF formula (forall (F2:(complex->a)) (G2:(a->complex)) (X2:a) (F3:(complex->a)) (G3:(a->complex)) (X3:a), ((((eq a) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq a) (((comp_complex_a_a F2) G2) X2)) (((comp_complex_a_a F3) G3) X3)))) of role axiom named fact_67_comp__cong
% 0.58/0.76  A new axiom: (forall (F2:(complex->a)) (G2:(a->complex)) (X2:a) (F3:(complex->a)) (G3:(a->complex)) (X3:a), ((((eq a) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq a) (((comp_complex_a_a F2) G2) X2)) (((comp_complex_a_a F3) G3) X3))))
% 0.58/0.76  FOF formula (forall (F2:(complex->a)) (G2:(a->complex)) (X2:a) (F3:(real->a)) (G3:(real->real)) (X3:real), ((((eq a) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq a) (((comp_complex_a_a F2) G2) X2)) (((comp_real_a_real F3) G3) X3)))) of role axiom named fact_68_comp__cong
% 0.58/0.76  A new axiom: (forall (F2:(complex->a)) (G2:(a->complex)) (X2:a) (F3:(real->a)) (G3:(real->real)) (X3:real), ((((eq a) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq a) (((comp_complex_a_a F2) G2) X2)) (((comp_real_a_real F3) G3) X3))))
% 0.58/0.76  FOF formula (forall (F2:(complex->a)) (G2:(a->complex)) (X2:a) (F3:(a->a)) (G3:(complex->a)) (X3:complex), ((((eq a) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq a) (((comp_complex_a_a F2) G2) X2)) (((comp_a_a_complex F3) G3) X3)))) of role axiom named fact_69_comp__cong
% 0.58/0.76  A new axiom: (forall (F2:(complex->a)) (G2:(a->complex)) (X2:a) (F3:(a->a)) (G3:(complex->a)) (X3:complex), ((((eq a) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq a) (((comp_complex_a_a F2) G2) X2)) (((comp_a_a_complex F3) G3) X3))))
% 0.58/0.76  FOF formula (forall (F2:(complex->a)) (G2:(a->complex)) (X2:a) (F3:(a->a)) (G3:(real->a)) (X3:real), ((((eq a) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq a) (((comp_complex_a_a F2) G2) X2)) (((comp_a_a_real F3) G3) X3)))) of role axiom named fact_70_comp__cong
% 0.58/0.76  A new axiom: (forall (F2:(complex->a)) (G2:(a->complex)) (X2:a) (F3:(a->a)) (G3:(real->a)) (X3:real), ((((eq a) (F2 (G2 X2))) (F3 (G3 X3)))->(((eq a) (((comp_complex_a_a F2) G2) X2)) (((comp_a_a_real F3) G3) X3))))
% 0.58/0.76  FOF formula (forall (A:(a->complex)) (B:(real->a)) (C:(real->complex)) (V:real), ((((eq (real->complex)) ((comp_a_complex_real A) B)) C)->(((eq complex) (A (B V))) (C V)))) of role axiom named fact_71_comp__eq__dest__lhs
% 0.58/0.76  A new axiom: (forall (A:(a->complex)) (B:(real->a)) (C:(real->complex)) (V:real), ((((eq (real->complex)) ((comp_a_complex_real A) B)) C)->(((eq complex) (A (B V))) (C V))))
% 0.58/0.76  FOF formula (forall (A:(a->complex)) (B:(complex->a)) (C:(complex->complex)) (V:complex), ((((eq (complex->complex)) ((comp_a1063143865omplex A) B)) C)->(((eq complex) (A (B V))) (C V)))) of role axiom named fact_72_comp__eq__dest__lhs
% 0.58/0.76  A new axiom: (forall (A:(a->complex)) (B:(complex->a)) (C:(complex->complex)) (V:complex), ((((eq (complex->complex)) ((comp_a1063143865omplex A) B)) C)->(((eq complex) (A (B V))) (C V))))
% 0.58/0.76  FOF formula (forall (A:(complex->a)) (B:(a->complex)) (C:(a->a)) (V:a), ((((eq (a->a)) ((comp_complex_a_a A) B)) C)->(((eq a) (A (B V))) (C V)))) of role axiom named fact_73_comp__eq__dest__lhs
% 0.58/0.76  A new axiom: (forall (A:(complex->a)) (B:(a->complex)) (C:(a->a)) (V:a), ((((eq (a->a)) ((comp_complex_a_a A) B)) C)->(((eq a) (A (B V))) (C V))))
% 0.58/0.76  FOF formula (forall (A:(real->a)) (B:(real->real)) (C:(real->a)) (V:real), ((((eq (real->a)) ((comp_real_a_real A) B)) C)->(((eq a) (A (B V))) (C V)))) of role axiom named fact_74_comp__eq__dest__lhs
% 0.61/0.77  A new axiom: (forall (A:(real->a)) (B:(real->real)) (C:(real->a)) (V:real), ((((eq (real->a)) ((comp_real_a_real A) B)) C)->(((eq a) (A (B V))) (C V))))
% 0.61/0.77  FOF formula (forall (A:(a->complex)) (B:(a->a)) (C:(a->complex)) (V:a), ((((eq (a->complex)) ((comp_a_complex_a A) B)) C)->(((eq complex) (A (B V))) (C V)))) of role axiom named fact_75_comp__eq__dest__lhs
% 0.61/0.77  A new axiom: (forall (A:(a->complex)) (B:(a->a)) (C:(a->complex)) (V:a), ((((eq (a->complex)) ((comp_a_complex_a A) B)) C)->(((eq complex) (A (B V))) (C V))))
% 0.61/0.77  FOF formula (forall (A:(a->a)) (B:(complex->a)) (C:(complex->a)) (V:complex), ((((eq (complex->a)) ((comp_a_a_complex A) B)) C)->(((eq a) (A (B V))) (C V)))) of role axiom named fact_76_comp__eq__dest__lhs
% 0.61/0.77  A new axiom: (forall (A:(a->a)) (B:(complex->a)) (C:(complex->a)) (V:complex), ((((eq (complex->a)) ((comp_a_a_complex A) B)) C)->(((eq a) (A (B V))) (C V))))
% 0.61/0.77  FOF formula (forall (A:(a->a)) (B:(real->a)) (C:(real->a)) (V:real), ((((eq (real->a)) ((comp_a_a_real A) B)) C)->(((eq a) (A (B V))) (C V)))) of role axiom named fact_77_comp__eq__dest__lhs
% 0.61/0.77  A new axiom: (forall (A:(a->a)) (B:(real->a)) (C:(real->a)) (V:real), ((((eq (real->a)) ((comp_a_a_real A) B)) C)->(((eq a) (A (B V))) (C V))))
% 0.61/0.77  FOF formula (forall (A:(a->a)) (B:(a->a)) (C:(a->a)) (V:a), ((((eq (a->a)) ((comp_a_a_a A) B)) C)->(((eq a) (A (B V))) (C V)))) of role axiom named fact_78_comp__eq__dest__lhs
% 0.61/0.77  A new axiom: (forall (A:(a->a)) (B:(a->a)) (C:(a->a)) (V:a), ((((eq (a->a)) ((comp_a_a_a A) B)) C)->(((eq a) (A (B V))) (C V))))
% 0.61/0.77  FOF formula (forall (F2:(complex->complex)) (G2:(real->complex)), ((real_V670066493omplex F2)->(((eq complex) (path_p797330068omplex ((comp_c595887981x_real F2) G2))) (F2 (path_p797330068omplex G2))))) of role axiom named fact_79_pathstart__linear__image__eq
% 0.61/0.77  A new axiom: (forall (F2:(complex->complex)) (G2:(real->complex)), ((real_V670066493omplex F2)->(((eq complex) (path_p797330068omplex ((comp_c595887981x_real F2) G2))) (F2 (path_p797330068omplex G2)))))
% 0.61/0.77  FOF formula (forall (F2:(real->a)) (G2:(real->real)), ((real_V779700657real_a F2)->(((eq a) (path_pathstart_a ((comp_real_a_real F2) G2))) (F2 (path_pathstart_real G2))))) of role axiom named fact_80_pathstart__linear__image__eq
% 0.61/0.77  A new axiom: (forall (F2:(real->a)) (G2:(real->real)), ((real_V779700657real_a F2)->(((eq a) (path_pathstart_a ((comp_real_a_real F2) G2))) (F2 (path_pathstart_real G2)))))
% 0.61/0.77  FOF formula (forall (F2:(a->a)) (G2:(real->a)), ((real_V202220639ar_a_a F2)->(((eq a) (path_pathstart_a ((comp_a_a_real F2) G2))) (F2 (path_pathstart_a G2))))) of role axiom named fact_81_pathstart__linear__image__eq
% 0.61/0.77  A new axiom: (forall (F2:(a->a)) (G2:(real->a)), ((real_V202220639ar_a_a F2)->(((eq a) (path_pathstart_a ((comp_a_a_real F2) G2))) (F2 (path_pathstart_a G2)))))
% 0.61/0.77  FOF formula (forall (F2:(a->complex)) (G2:(real->a)), ((real_V1477106445omplex F2)->(((eq complex) (path_p797330068omplex ((comp_a_complex_real F2) G2))) (F2 (path_pathstart_a G2))))) of role axiom named fact_82_pathstart__linear__image__eq
% 0.61/0.77  A new axiom: (forall (F2:(a->complex)) (G2:(real->a)), ((real_V1477106445omplex F2)->(((eq complex) (path_p797330068omplex ((comp_a_complex_real F2) G2))) (F2 (path_pathstart_a G2)))))
% 0.61/0.77  FOF formula (forall (F2:(complex->a)) (G2:(real->complex)), ((real_V1327653935plex_a F2)->(((eq a) (path_pathstart_a ((comp_complex_a_real F2) G2))) (F2 (path_p797330068omplex G2))))) of role axiom named fact_83_pathstart__linear__image__eq
% 0.61/0.77  A new axiom: (forall (F2:(complex->a)) (G2:(real->complex)), ((real_V1327653935plex_a F2)->(((eq a) (path_pathstart_a ((comp_complex_a_real F2) G2))) (F2 (path_p797330068omplex G2)))))
% 0.61/0.77  FOF formula (forall (F2:(complex->complex)) (G2:(real->complex)), ((real_V670066493omplex F2)->(((eq complex) (path_p769714271omplex ((comp_c595887981x_real F2) G2))) (F2 (path_p769714271omplex G2))))) of role axiom named fact_84_pathfinish__linear__image
% 0.61/0.77  A new axiom: (forall (F2:(complex->complex)) (G2:(real->complex)), ((real_V670066493omplex F2)->(((eq complex) (path_p769714271omplex ((comp_c595887981x_real F2) G2))) (F2 (path_p769714271omplex G2)))))
% 0.61/0.78  FOF formula (forall (F2:(real->a)) (G2:(real->real)), ((real_V779700657real_a F2)->(((eq a) (path_pathfinish_a ((comp_real_a_real F2) G2))) (F2 (path_pathfinish_real G2))))) of role axiom named fact_85_pathfinish__linear__image
% 0.61/0.78  A new axiom: (forall (F2:(real->a)) (G2:(real->real)), ((real_V779700657real_a F2)->(((eq a) (path_pathfinish_a ((comp_real_a_real F2) G2))) (F2 (path_pathfinish_real G2)))))
% 0.61/0.78  FOF formula (forall (F2:(a->a)) (G2:(real->a)), ((real_V202220639ar_a_a F2)->(((eq a) (path_pathfinish_a ((comp_a_a_real F2) G2))) (F2 (path_pathfinish_a G2))))) of role axiom named fact_86_pathfinish__linear__image
% 0.61/0.78  A new axiom: (forall (F2:(a->a)) (G2:(real->a)), ((real_V202220639ar_a_a F2)->(((eq a) (path_pathfinish_a ((comp_a_a_real F2) G2))) (F2 (path_pathfinish_a G2)))))
% 0.61/0.78  FOF formula (forall (F2:(a->complex)) (G2:(real->a)), ((real_V1477106445omplex F2)->(((eq complex) (path_p769714271omplex ((comp_a_complex_real F2) G2))) (F2 (path_pathfinish_a G2))))) of role axiom named fact_87_pathfinish__linear__image
% 0.61/0.78  A new axiom: (forall (F2:(a->complex)) (G2:(real->a)), ((real_V1477106445omplex F2)->(((eq complex) (path_p769714271omplex ((comp_a_complex_real F2) G2))) (F2 (path_pathfinish_a G2)))))
% 0.61/0.78  FOF formula (forall (F2:(complex->a)) (G2:(real->complex)), ((real_V1327653935plex_a F2)->(((eq a) (path_pathfinish_a ((comp_complex_a_real F2) G2))) (F2 (path_p769714271omplex G2))))) of role axiom named fact_88_pathfinish__linear__image
% 0.61/0.78  A new axiom: (forall (F2:(complex->a)) (G2:(real->complex)), ((real_V1327653935plex_a F2)->(((eq a) (path_pathfinish_a ((comp_complex_a_real F2) G2))) (F2 (path_p769714271omplex G2)))))
% 0.61/0.78  FOF formula (forall (F2:(a->complex)), ((real_V912435428omplex F2)->(real_V1477106445omplex F2))) of role axiom named fact_89_bounded__linear_Olinear
% 0.61/0.78  A new axiom: (forall (F2:(a->complex)), ((real_V912435428omplex F2)->(real_V1477106445omplex F2)))
% 0.61/0.78  FOF formula (forall (F2:(complex->a)), ((real_V762982918plex_a F2)->(real_V1327653935plex_a F2))) of role axiom named fact_90_bounded__linear_Olinear
% 0.61/0.78  A new axiom: (forall (F2:(complex->a)), ((real_V762982918plex_a F2)->(real_V1327653935plex_a F2)))
% 0.61/0.78  FOF formula (((eq ((a->complex)->Prop)) real_V1477106445omplex) real_V912435428omplex) of role axiom named fact_91_linear__conv__bounded__linear
% 0.61/0.78  A new axiom: (((eq ((a->complex)->Prop)) real_V1477106445omplex) real_V912435428omplex)
% 0.61/0.78  FOF formula (((eq ((complex->a)->Prop)) real_V1327653935plex_a) real_V762982918plex_a) of role axiom named fact_92_linear__conv__bounded__linear
% 0.61/0.78  A new axiom: (((eq ((complex->a)->Prop)) real_V1327653935plex_a) real_V762982918plex_a)
% 0.61/0.78  FOF formula (forall (F2:(real->real)) (G2:(real->a)), ((real_V1354572473l_real F2)->((real_V779700657real_a G2)->(real_V779700657real_a ((comp_real_a_real G2) F2))))) of role axiom named fact_93_linear__compose
% 0.61/0.78  A new axiom: (forall (F2:(real->real)) (G2:(real->a)), ((real_V1354572473l_real F2)->((real_V779700657real_a G2)->(real_V779700657real_a ((comp_real_a_real G2) F2)))))
% 0.61/0.78  FOF formula (forall (F2:(real->a)) (G2:(a->a)), ((real_V779700657real_a F2)->((real_V202220639ar_a_a G2)->(real_V779700657real_a ((comp_a_a_real G2) F2))))) of role axiom named fact_94_linear__compose
% 0.61/0.78  A new axiom: (forall (F2:(real->a)) (G2:(a->a)), ((real_V779700657real_a F2)->((real_V202220639ar_a_a G2)->(real_V779700657real_a ((comp_a_a_real G2) F2)))))
% 0.61/0.78  FOF formula (forall (F2:(a->a)) (G2:(a->a)), ((real_V202220639ar_a_a F2)->((real_V202220639ar_a_a G2)->(real_V202220639ar_a_a ((comp_a_a_a G2) F2))))) of role axiom named fact_95_linear__compose
% 0.61/0.78  A new axiom: (forall (F2:(a->a)) (G2:(a->a)), ((real_V202220639ar_a_a F2)->((real_V202220639ar_a_a G2)->(real_V202220639ar_a_a ((comp_a_a_a G2) F2)))))
% 0.61/0.78  FOF formula (forall (F2:(real->a)) (G2:(a->complex)), ((real_V779700657real_a F2)->((real_V1477106445omplex G2)->(real_V1948715323omplex ((comp_a_complex_real G2) F2))))) of role axiom named fact_96_linear__compose
% 0.61/0.78  A new axiom: (forall (F2:(real->a)) (G2:(a->complex)), ((real_V779700657real_a F2)->((real_V1477106445omplex G2)->(real_V1948715323omplex ((comp_a_complex_real G2) F2)))))
% 0.61/0.80  FOF formula (forall (F2:(a->a)) (G2:(a->complex)), ((real_V202220639ar_a_a F2)->((real_V1477106445omplex G2)->(real_V1477106445omplex ((comp_a_complex_a G2) F2))))) of role axiom named fact_97_linear__compose
% 0.61/0.80  A new axiom: (forall (F2:(a->a)) (G2:(a->complex)), ((real_V202220639ar_a_a F2)->((real_V1477106445omplex G2)->(real_V1477106445omplex ((comp_a_complex_a G2) F2)))))
% 0.61/0.80  FOF formula (forall (F2:(complex->complex)) (G2:(complex->a)), ((real_V670066493omplex F2)->((real_V1327653935plex_a G2)->(real_V1327653935plex_a ((comp_c274302683omplex G2) F2))))) of role axiom named fact_98_linear__compose
% 0.61/0.80  A new axiom: (forall (F2:(complex->complex)) (G2:(complex->a)), ((real_V670066493omplex F2)->((real_V1327653935plex_a G2)->(real_V1327653935plex_a ((comp_c274302683omplex G2) F2)))))
% 0.61/0.80  FOF formula (forall (F2:(a->complex)) (G2:(complex->complex)), ((real_V1477106445omplex F2)->((real_V670066493omplex G2)->(real_V1477106445omplex ((comp_c124850173plex_a G2) F2))))) of role axiom named fact_99_linear__compose
% 0.61/0.80  A new axiom: (forall (F2:(a->complex)) (G2:(complex->complex)), ((real_V1477106445omplex F2)->((real_V670066493omplex G2)->(real_V1477106445omplex ((comp_c124850173plex_a G2) F2)))))
% 0.61/0.80  FOF formula (forall (F2:(a->complex)) (G2:(complex->a)), ((real_V1477106445omplex F2)->((real_V1327653935plex_a G2)->(real_V202220639ar_a_a ((comp_complex_a_a G2) F2))))) of role axiom named fact_100_linear__compose
% 0.61/0.80  A new axiom: (forall (F2:(a->complex)) (G2:(complex->a)), ((real_V1477106445omplex F2)->((real_V1327653935plex_a G2)->(real_V202220639ar_a_a ((comp_complex_a_a G2) F2)))))
% 0.61/0.80  FOF formula (forall (F2:(complex->a)) (G2:(a->a)), ((real_V1327653935plex_a F2)->((real_V202220639ar_a_a G2)->(real_V1327653935plex_a ((comp_a_a_complex G2) F2))))) of role axiom named fact_101_linear__compose
% 0.61/0.80  A new axiom: (forall (F2:(complex->a)) (G2:(a->a)), ((real_V1327653935plex_a F2)->((real_V202220639ar_a_a G2)->(real_V1327653935plex_a ((comp_a_a_complex G2) F2)))))
% 0.61/0.80  FOF formula (forall (F2:(complex->a)) (G2:(a->complex)), ((real_V1327653935plex_a F2)->((real_V1477106445omplex G2)->(real_V670066493omplex ((comp_a1063143865omplex G2) F2))))) of role axiom named fact_102_linear__compose
% 0.61/0.80  A new axiom: (forall (F2:(complex->a)) (G2:(a->complex)), ((real_V1327653935plex_a F2)->((real_V1477106445omplex G2)->(real_V670066493omplex ((comp_a1063143865omplex G2) F2)))))
% 0.61/0.80  FOF formula (forall (G2:(real->a)), (((inj_on_a_complex poinca1910941596x_of_a) top_top_set_a)->(((eq Prop) (path_s36253918omplex ((comp_a_complex_real poinca1910941596x_of_a) G2))) (path_simple_path_a G2)))) of role axiom named fact_103__092_060open_062_092_060And_062g_O_Ainj_Acomplex__of_A_092_060Longrightarrow_062_Asimple__path_A_Icomplex__of_A_092_060circ_062_Ag_J_A_061_Asimple__path_Ag_092_060close_062
% 0.61/0.80  A new axiom: (forall (G2:(real->a)), (((inj_on_a_complex poinca1910941596x_of_a) top_top_set_a)->(((eq Prop) (path_s36253918omplex ((comp_a_complex_real poinca1910941596x_of_a) G2))) (path_simple_path_a G2))))
% 0.61/0.80  FOF formula (forall (A1:complex) (A3:complex), (((eq complex) (path_p769714271omplex ((path_rectpath A1) A3))) A1)) of role axiom named fact_104_pathfinish__rectpath
% 0.61/0.80  A new axiom: (forall (A1:complex) (A3:complex), (((eq complex) (path_p769714271omplex ((path_rectpath A1) A3))) A1))
% 0.61/0.80  FOF formula (forall (A1:complex) (A3:complex), (((eq complex) (path_p797330068omplex ((path_rectpath A1) A3))) A1)) of role axiom named fact_105_pathstart__rectpath
% 0.61/0.80  A new axiom: (forall (A1:complex) (A3:complex), (((eq complex) (path_p797330068omplex ((path_rectpath A1) A3))) A1))
% 0.61/0.80  FOF formula (forall (F2:(a->complex)), ((real_V912435428omplex F2)->(real_V912435428omplex F2))) of role axiom named fact_106_bounded__linear_Obounded__linear
% 0.61/0.80  A new axiom: (forall (F2:(a->complex)), ((real_V912435428omplex F2)->(real_V912435428omplex F2)))
% 0.61/0.80  FOF formula (forall (F2:(complex->a)), ((real_V762982918plex_a F2)->(real_V762982918plex_a F2))) of role axiom named fact_107_bounded__linear_Obounded__linear
% 0.61/0.80  A new axiom: (forall (F2:(complex->a)), ((real_V762982918plex_a F2)->(real_V762982918plex_a F2)))
% 0.61/0.80  FOF formula (forall (G2:(real->real)) (H:(a->real)) (R1:(complex->real)) (R2:(a->complex)) (F2:(real->a)) (L:(complex->a)), ((((eq (a->real)) ((comp_real_real_a G2) H)) ((comp_complex_real_a R1) R2))->((((eq (complex->a)) ((comp_real_a_complex F2) R1)) L)->(((eq (a->a)) ((comp_real_a_a ((comp_real_a_real F2) G2)) H)) ((comp_complex_a_a L) R2))))) of role axiom named fact_108_rewriteR__comp__comp2
% 0.61/0.81  A new axiom: (forall (G2:(real->real)) (H:(a->real)) (R1:(complex->real)) (R2:(a->complex)) (F2:(real->a)) (L:(complex->a)), ((((eq (a->real)) ((comp_real_real_a G2) H)) ((comp_complex_real_a R1) R2))->((((eq (complex->a)) ((comp_real_a_complex F2) R1)) L)->(((eq (a->a)) ((comp_real_a_a ((comp_real_a_real F2) G2)) H)) ((comp_complex_a_a L) R2)))))
% 0.61/0.81  FOF formula (forall (G2:(real->real)) (H:(complex->real)) (R1:(a->real)) (R2:(complex->a)) (F2:(real->a)) (L:(a->a)), ((((eq (complex->real)) ((comp_r422820971omplex G2) H)) ((comp_a_real_complex R1) R2))->((((eq (a->a)) ((comp_real_a_a F2) R1)) L)->(((eq (complex->a)) ((comp_real_a_complex ((comp_real_a_real F2) G2)) H)) ((comp_a_a_complex L) R2))))) of role axiom named fact_109_rewriteR__comp__comp2
% 0.61/0.81  A new axiom: (forall (G2:(real->real)) (H:(complex->real)) (R1:(a->real)) (R2:(complex->a)) (F2:(real->a)) (L:(a->a)), ((((eq (complex->real)) ((comp_r422820971omplex G2) H)) ((comp_a_real_complex R1) R2))->((((eq (a->a)) ((comp_real_a_a F2) R1)) L)->(((eq (complex->a)) ((comp_real_a_complex ((comp_real_a_real F2) G2)) H)) ((comp_a_a_complex L) R2)))))
% 0.61/0.81  FOF formula (forall (G2:(real->real)) (H:(a->real)) (R1:(a->real)) (R2:(a->a)) (F2:(real->a)) (L:(a->a)), ((((eq (a->real)) ((comp_real_real_a G2) H)) ((comp_a_real_a R1) R2))->((((eq (a->a)) ((comp_real_a_a F2) R1)) L)->(((eq (a->a)) ((comp_real_a_a ((comp_real_a_real F2) G2)) H)) ((comp_a_a_a L) R2))))) of role axiom named fact_110_rewriteR__comp__comp2
% 0.61/0.81  A new axiom: (forall (G2:(real->real)) (H:(a->real)) (R1:(a->real)) (R2:(a->a)) (F2:(real->a)) (L:(a->a)), ((((eq (a->real)) ((comp_real_real_a G2) H)) ((comp_a_real_a R1) R2))->((((eq (a->a)) ((comp_real_a_a F2) R1)) L)->(((eq (a->a)) ((comp_real_a_a ((comp_real_a_real F2) G2)) H)) ((comp_a_a_a L) R2)))))
% 0.61/0.81  FOF formula (forall (G2:(real->real)) (H:(real->real)) (R1:(a->real)) (R2:(real->a)) (F2:(real->a)) (L:(a->a)), ((((eq (real->real)) ((comp_real_real_real G2) H)) ((comp_a_real_real R1) R2))->((((eq (a->a)) ((comp_real_a_a F2) R1)) L)->(((eq (real->a)) ((comp_real_a_real ((comp_real_a_real F2) G2)) H)) ((comp_a_a_real L) R2))))) of role axiom named fact_111_rewriteR__comp__comp2
% 0.61/0.81  A new axiom: (forall (G2:(real->real)) (H:(real->real)) (R1:(a->real)) (R2:(real->a)) (F2:(real->a)) (L:(a->a)), ((((eq (real->real)) ((comp_real_real_real G2) H)) ((comp_a_real_real R1) R2))->((((eq (a->a)) ((comp_real_a_a F2) R1)) L)->(((eq (real->a)) ((comp_real_a_real ((comp_real_a_real F2) G2)) H)) ((comp_a_a_real L) R2)))))
% 0.61/0.81  FOF formula (forall (G2:(complex->real)) (H:(a->complex)) (R1:(real->real)) (R2:(a->real)) (F2:(real->a)) (L:(real->a)), ((((eq (a->real)) ((comp_complex_real_a G2) H)) ((comp_real_real_a R1) R2))->((((eq (real->a)) ((comp_real_a_real F2) R1)) L)->(((eq (a->a)) ((comp_complex_a_a ((comp_real_a_complex F2) G2)) H)) ((comp_real_a_a L) R2))))) of role axiom named fact_112_rewriteR__comp__comp2
% 0.61/0.81  A new axiom: (forall (G2:(complex->real)) (H:(a->complex)) (R1:(real->real)) (R2:(a->real)) (F2:(real->a)) (L:(real->a)), ((((eq (a->real)) ((comp_complex_real_a G2) H)) ((comp_real_real_a R1) R2))->((((eq (real->a)) ((comp_real_a_real F2) R1)) L)->(((eq (a->a)) ((comp_complex_a_a ((comp_real_a_complex F2) G2)) H)) ((comp_real_a_a L) R2)))))
% 0.61/0.81  FOF formula (forall (G2:(real->real)) (H:(real->real)) (R1:(real->real)) (R2:(real->real)) (F2:(real->a)) (L:(real->a)), ((((eq (real->real)) ((comp_real_real_real G2) H)) ((comp_real_real_real R1) R2))->((((eq (real->a)) ((comp_real_a_real F2) R1)) L)->(((eq (real->a)) ((comp_real_a_real ((comp_real_a_real F2) G2)) H)) ((comp_real_a_real L) R2))))) of role axiom named fact_113_rewriteR__comp__comp2
% 0.61/0.81  A new axiom: (forall (G2:(real->real)) (H:(real->real)) (R1:(real->real)) (R2:(real->real)) (F2:(real->a)) (L:(real->a)), ((((eq (real->real)) ((comp_real_real_real G2) H)) ((comp_real_real_real R1) R2))->((((eq (real->a)) ((comp_real_a_real F2) R1)) L)->(((eq (real->a)) ((comp_real_a_real ((comp_real_a_real F2) G2)) H)) ((comp_real_a_real L) R2)))))
% 0.61/0.82  FOF formula (forall (G2:(a->real)) (H:(complex->a)) (R1:(real->real)) (R2:(complex->real)) (F2:(real->a)) (L:(real->a)), ((((eq (complex->real)) ((comp_a_real_complex G2) H)) ((comp_r422820971omplex R1) R2))->((((eq (real->a)) ((comp_real_a_real F2) R1)) L)->(((eq (complex->a)) ((comp_a_a_complex ((comp_real_a_a F2) G2)) H)) ((comp_real_a_complex L) R2))))) of role axiom named fact_114_rewriteR__comp__comp2
% 0.61/0.82  A new axiom: (forall (G2:(a->real)) (H:(complex->a)) (R1:(real->real)) (R2:(complex->real)) (F2:(real->a)) (L:(real->a)), ((((eq (complex->real)) ((comp_a_real_complex G2) H)) ((comp_r422820971omplex R1) R2))->((((eq (real->a)) ((comp_real_a_real F2) R1)) L)->(((eq (complex->a)) ((comp_a_a_complex ((comp_real_a_a F2) G2)) H)) ((comp_real_a_complex L) R2)))))
% 0.61/0.82  FOF formula (forall (G2:(a->real)) (H:(real->a)) (R1:(real->real)) (R2:(real->real)) (F2:(real->a)) (L:(real->a)), ((((eq (real->real)) ((comp_a_real_real G2) H)) ((comp_real_real_real R1) R2))->((((eq (real->a)) ((comp_real_a_real F2) R1)) L)->(((eq (real->a)) ((comp_a_a_real ((comp_real_a_a F2) G2)) H)) ((comp_real_a_real L) R2))))) of role axiom named fact_115_rewriteR__comp__comp2
% 0.61/0.82  A new axiom: (forall (G2:(a->real)) (H:(real->a)) (R1:(real->real)) (R2:(real->real)) (F2:(real->a)) (L:(real->a)), ((((eq (real->real)) ((comp_a_real_real G2) H)) ((comp_real_real_real R1) R2))->((((eq (real->a)) ((comp_real_a_real F2) R1)) L)->(((eq (real->a)) ((comp_a_a_real ((comp_real_a_a F2) G2)) H)) ((comp_real_a_real L) R2)))))
% 0.61/0.82  FOF formula (forall (G2:(a->real)) (H:(a->a)) (R1:(real->real)) (R2:(a->real)) (F2:(real->a)) (L:(real->a)), ((((eq (a->real)) ((comp_a_real_a G2) H)) ((comp_real_real_a R1) R2))->((((eq (real->a)) ((comp_real_a_real F2) R1)) L)->(((eq (a->a)) ((comp_a_a_a ((comp_real_a_a F2) G2)) H)) ((comp_real_a_a L) R2))))) of role axiom named fact_116_rewriteR__comp__comp2
% 0.61/0.82  A new axiom: (forall (G2:(a->real)) (H:(a->a)) (R1:(real->real)) (R2:(a->real)) (F2:(real->a)) (L:(real->a)), ((((eq (a->real)) ((comp_a_real_a G2) H)) ((comp_real_real_a R1) R2))->((((eq (real->a)) ((comp_real_a_real F2) R1)) L)->(((eq (a->a)) ((comp_a_a_a ((comp_real_a_a F2) G2)) H)) ((comp_real_a_a L) R2)))))
% 0.61/0.82  FOF formula (forall (G2:(real->complex)) (H:(real->real)) (R1:(a->complex)) (R2:(real->a)) (F2:(complex->a)) (L:(a->a)), ((((eq (real->complex)) ((comp_r701421291x_real G2) H)) ((comp_a_complex_real R1) R2))->((((eq (a->a)) ((comp_complex_a_a F2) R1)) L)->(((eq (real->a)) ((comp_real_a_real ((comp_complex_a_real F2) G2)) H)) ((comp_a_a_real L) R2))))) of role axiom named fact_117_rewriteR__comp__comp2
% 0.61/0.82  A new axiom: (forall (G2:(real->complex)) (H:(real->real)) (R1:(a->complex)) (R2:(real->a)) (F2:(complex->a)) (L:(a->a)), ((((eq (real->complex)) ((comp_r701421291x_real G2) H)) ((comp_a_complex_real R1) R2))->((((eq (a->a)) ((comp_complex_a_a F2) R1)) L)->(((eq (real->a)) ((comp_real_a_real ((comp_complex_a_real F2) G2)) H)) ((comp_a_a_real L) R2)))))
% 0.61/0.82  FOF formula (forall (F2:(real->a)) (G2:(a->real)) (L1:(complex->a)) (L2:(a->complex)) (H:(real->a)) (R:(real->complex)), ((((eq (a->a)) ((comp_real_a_a F2) G2)) ((comp_complex_a_a L1) L2))->((((eq (real->complex)) ((comp_a_complex_real L2) H)) R)->(((eq (real->a)) ((comp_real_a_real F2) ((comp_a_real_real G2) H))) ((comp_complex_a_real L1) R))))) of role axiom named fact_118_rewriteL__comp__comp2
% 0.61/0.82  A new axiom: (forall (F2:(real->a)) (G2:(a->real)) (L1:(complex->a)) (L2:(a->complex)) (H:(real->a)) (R:(real->complex)), ((((eq (a->a)) ((comp_real_a_a F2) G2)) ((comp_complex_a_a L1) L2))->((((eq (real->complex)) ((comp_a_complex_real L2) H)) R)->(((eq (real->a)) ((comp_real_a_real F2) ((comp_a_real_real G2) H))) ((comp_complex_a_real L1) R)))))
% 0.61/0.82  FOF formula (forall (F2:(complex->a)) (G2:(real->complex)) (L1:(real->a)) (L2:(real->real)) (H:(a->real)) (R:(a->real)), ((((eq (real->a)) ((comp_complex_a_real F2) G2)) ((comp_real_a_real L1) L2))->((((eq (a->real)) ((comp_real_real_a L2) H)) R)->(((eq (a->a)) ((comp_complex_a_a F2) ((comp_real_complex_a G2) H))) ((comp_real_a_a L1) R))))) of role axiom named fact_119_rewriteL__comp__comp2
% 0.61/0.83  A new axiom: (forall (F2:(complex->a)) (G2:(real->complex)) (L1:(real->a)) (L2:(real->real)) (H:(a->real)) (R:(a->real)), ((((eq (real->a)) ((comp_complex_a_real F2) G2)) ((comp_real_a_real L1) L2))->((((eq (a->real)) ((comp_real_real_a L2) H)) R)->(((eq (a->a)) ((comp_complex_a_a F2) ((comp_real_complex_a G2) H))) ((comp_real_a_a L1) R)))))
% 0.61/0.83  FOF formula (forall (F2:(complex->complex)) (G2:(a->complex)) (L1:(a->complex)) (L2:(a->a)) (H:(complex->a)) (R:(complex->a)), ((((eq (a->complex)) ((comp_c124850173plex_a F2) G2)) ((comp_a_complex_a L1) L2))->((((eq (complex->a)) ((comp_a_a_complex L2) H)) R)->(((eq (complex->complex)) ((comp_c130555887omplex F2) ((comp_a1063143865omplex G2) H))) ((comp_a1063143865omplex L1) R))))) of role axiom named fact_120_rewriteL__comp__comp2
% 0.61/0.83  A new axiom: (forall (F2:(complex->complex)) (G2:(a->complex)) (L1:(a->complex)) (L2:(a->a)) (H:(complex->a)) (R:(complex->a)), ((((eq (a->complex)) ((comp_c124850173plex_a F2) G2)) ((comp_a_complex_a L1) L2))->((((eq (complex->a)) ((comp_a_a_complex L2) H)) R)->(((eq (complex->complex)) ((comp_c130555887omplex F2) ((comp_a1063143865omplex G2) H))) ((comp_a1063143865omplex L1) R)))))
% 0.61/0.83  FOF formula (forall (F2:(complex->complex)) (G2:(a->complex)) (L1:(a->complex)) (L2:(a->a)) (H:(real->a)) (R:(real->a)), ((((eq (a->complex)) ((comp_c124850173plex_a F2) G2)) ((comp_a_complex_a L1) L2))->((((eq (real->a)) ((comp_a_a_real L2) H)) R)->(((eq (real->complex)) ((comp_c595887981x_real F2) ((comp_a_complex_real G2) H))) ((comp_a_complex_real L1) R))))) of role axiom named fact_121_rewriteL__comp__comp2
% 0.61/0.83  A new axiom: (forall (F2:(complex->complex)) (G2:(a->complex)) (L1:(a->complex)) (L2:(a->a)) (H:(real->a)) (R:(real->a)), ((((eq (a->complex)) ((comp_c124850173plex_a F2) G2)) ((comp_a_complex_a L1) L2))->((((eq (real->a)) ((comp_a_a_real L2) H)) R)->(((eq (real->complex)) ((comp_c595887981x_real F2) ((comp_a_complex_real G2) H))) ((comp_a_complex_real L1) R)))))
% 0.61/0.83  FOF formula (forall (F2:(complex->complex)) (G2:(a->complex)) (L1:(a->complex)) (L2:(a->a)) (H:(a->a)) (R:(a->a)), ((((eq (a->complex)) ((comp_c124850173plex_a F2) G2)) ((comp_a_complex_a L1) L2))->((((eq (a->a)) ((comp_a_a_a L2) H)) R)->(((eq (a->complex)) ((comp_c124850173plex_a F2) ((comp_a_complex_a G2) H))) ((comp_a_complex_a L1) R))))) of role axiom named fact_122_rewriteL__comp__comp2
% 0.61/0.83  A new axiom: (forall (F2:(complex->complex)) (G2:(a->complex)) (L1:(a->complex)) (L2:(a->a)) (H:(a->a)) (R:(a->a)), ((((eq (a->complex)) ((comp_c124850173plex_a F2) G2)) ((comp_a_complex_a L1) L2))->((((eq (a->a)) ((comp_a_a_a L2) H)) R)->(((eq (a->complex)) ((comp_c124850173plex_a F2) ((comp_a_complex_a G2) H))) ((comp_a_complex_a L1) R)))))
% 0.61/0.83  FOF formula (forall (F2:(real->a)) (G2:(complex->real)) (L1:(a->a)) (L2:(complex->a)) (H:(real->complex)) (R:(real->a)), ((((eq (complex->a)) ((comp_real_a_complex F2) G2)) ((comp_a_a_complex L1) L2))->((((eq (real->a)) ((comp_complex_a_real L2) H)) R)->(((eq (real->a)) ((comp_real_a_real F2) ((comp_c819638635l_real G2) H))) ((comp_a_a_real L1) R))))) of role axiom named fact_123_rewriteL__comp__comp2
% 0.61/0.83  A new axiom: (forall (F2:(real->a)) (G2:(complex->real)) (L1:(a->a)) (L2:(complex->a)) (H:(real->complex)) (R:(real->a)), ((((eq (complex->a)) ((comp_real_a_complex F2) G2)) ((comp_a_a_complex L1) L2))->((((eq (real->a)) ((comp_complex_a_real L2) H)) R)->(((eq (real->a)) ((comp_real_a_real F2) ((comp_c819638635l_real G2) H))) ((comp_a_a_real L1) R)))))
% 0.61/0.83  FOF formula (forall (F2:(complex->a)) (G2:(complex->complex)) (L1:(a->a)) (L2:(complex->a)) (H:(a->complex)) (R:(a->a)), ((((eq (complex->a)) ((comp_c274302683omplex F2) G2)) ((comp_a_a_complex L1) L2))->((((eq (a->a)) ((comp_complex_a_a L2) H)) R)->(((eq (a->a)) ((comp_complex_a_a F2) ((comp_c124850173plex_a G2) H))) ((comp_a_a_a L1) R))))) of role axiom named fact_124_rewriteL__comp__comp2
% 0.68/0.84  A new axiom: (forall (F2:(complex->a)) (G2:(complex->complex)) (L1:(a->a)) (L2:(complex->a)) (H:(a->complex)) (R:(a->a)), ((((eq (complex->a)) ((comp_c274302683omplex F2) G2)) ((comp_a_a_complex L1) L2))->((((eq (a->a)) ((comp_complex_a_a L2) H)) R)->(((eq (a->a)) ((comp_complex_a_a F2) ((comp_c124850173plex_a G2) H))) ((comp_a_a_a L1) R)))))
% 0.68/0.84  FOF formula (forall (F2:(complex->a)) (G2:(real->complex)) (L1:(a->a)) (L2:(real->a)) (H:(a->real)) (R:(a->a)), ((((eq (real->a)) ((comp_complex_a_real F2) G2)) ((comp_a_a_real L1) L2))->((((eq (a->a)) ((comp_real_a_a L2) H)) R)->(((eq (a->a)) ((comp_complex_a_a F2) ((comp_real_complex_a G2) H))) ((comp_a_a_a L1) R))))) of role axiom named fact_125_rewriteL__comp__comp2
% 0.68/0.84  A new axiom: (forall (F2:(complex->a)) (G2:(real->complex)) (L1:(a->a)) (L2:(real->a)) (H:(a->real)) (R:(a->a)), ((((eq (real->a)) ((comp_complex_a_real F2) G2)) ((comp_a_a_real L1) L2))->((((eq (a->a)) ((comp_real_a_a L2) H)) R)->(((eq (a->a)) ((comp_complex_a_a F2) ((comp_real_complex_a G2) H))) ((comp_a_a_a L1) R)))))
% 0.68/0.84  FOF formula (forall (F2:(real->a)) (G2:(a->real)) (L1:(a->a)) (L2:(a->a)) (H:(real->a)) (R:(real->a)), ((((eq (a->a)) ((comp_real_a_a F2) G2)) ((comp_a_a_a L1) L2))->((((eq (real->a)) ((comp_a_a_real L2) H)) R)->(((eq (real->a)) ((comp_real_a_real F2) ((comp_a_real_real G2) H))) ((comp_a_a_real L1) R))))) of role axiom named fact_126_rewriteL__comp__comp2
% 0.68/0.84  A new axiom: (forall (F2:(real->a)) (G2:(a->real)) (L1:(a->a)) (L2:(a->a)) (H:(real->a)) (R:(real->a)), ((((eq (a->a)) ((comp_real_a_a F2) G2)) ((comp_a_a_a L1) L2))->((((eq (real->a)) ((comp_a_a_real L2) H)) R)->(((eq (real->a)) ((comp_real_a_real F2) ((comp_a_real_real G2) H))) ((comp_a_a_real L1) R)))))
% 0.68/0.84  FOF formula (forall (F2:(a->complex)) (G2:(real->a)) (L1:(a->complex)) (L2:(real->a)) (H:(complex->real)) (R:(complex->a)), ((((eq (real->complex)) ((comp_a_complex_real F2) G2)) ((comp_a_complex_real L1) L2))->((((eq (complex->a)) ((comp_real_a_complex L2) H)) R)->(((eq (complex->complex)) ((comp_a1063143865omplex F2) ((comp_real_a_complex G2) H))) ((comp_a1063143865omplex L1) R))))) of role axiom named fact_127_rewriteL__comp__comp2
% 0.68/0.84  A new axiom: (forall (F2:(a->complex)) (G2:(real->a)) (L1:(a->complex)) (L2:(real->a)) (H:(complex->real)) (R:(complex->a)), ((((eq (real->complex)) ((comp_a_complex_real F2) G2)) ((comp_a_complex_real L1) L2))->((((eq (complex->a)) ((comp_real_a_complex L2) H)) R)->(((eq (complex->complex)) ((comp_a1063143865omplex F2) ((comp_real_a_complex G2) H))) ((comp_a1063143865omplex L1) R)))))
% 0.68/0.84  FOF formula (forall (G2:(real->a)) (H:(complex->real)) (R:(complex->a)) (F2:(a->complex)), ((((eq (complex->a)) ((comp_real_a_complex G2) H)) R)->(((eq (complex->complex)) ((comp_r667767405omplex ((comp_a_complex_real F2) G2)) H)) ((comp_a1063143865omplex F2) R)))) of role axiom named fact_128_rewriteR__comp__comp
% 0.68/0.84  A new axiom: (forall (G2:(real->a)) (H:(complex->real)) (R:(complex->a)) (F2:(a->complex)), ((((eq (complex->a)) ((comp_real_a_complex G2) H)) R)->(((eq (complex->complex)) ((comp_r667767405omplex ((comp_a_complex_real F2) G2)) H)) ((comp_a1063143865omplex F2) R))))
% 0.68/0.84  FOF formula (forall (G2:(real->a)) (H:(a->real)) (R:(a->a)) (F2:(a->complex)), ((((eq (a->a)) ((comp_real_a_a G2) H)) R)->(((eq (a->complex)) ((comp_real_complex_a ((comp_a_complex_real F2) G2)) H)) ((comp_a_complex_a F2) R)))) of role axiom named fact_129_rewriteR__comp__comp
% 0.68/0.84  A new axiom: (forall (G2:(real->a)) (H:(a->real)) (R:(a->a)) (F2:(a->complex)), ((((eq (a->a)) ((comp_real_a_a G2) H)) R)->(((eq (a->complex)) ((comp_real_complex_a ((comp_a_complex_real F2) G2)) H)) ((comp_a_complex_a F2) R))))
% 0.68/0.84  FOF formula (forall (G2:(complex->a)) (H:(real->complex)) (R:(real->a)) (F2:(a->complex)), ((((eq (real->a)) ((comp_complex_a_real G2) H)) R)->(((eq (real->complex)) ((comp_c595887981x_real ((comp_a1063143865omplex F2) G2)) H)) ((comp_a_complex_real F2) R)))) of role axiom named fact_130_rewriteR__comp__comp
% 0.68/0.84  A new axiom: (forall (G2:(complex->a)) (H:(real->complex)) (R:(real->a)) (F2:(a->complex)), ((((eq (real->a)) ((comp_complex_a_real G2) H)) R)->(((eq (real->complex)) ((comp_c595887981x_real ((comp_a1063143865omplex F2) G2)) H)) ((comp_a_complex_real F2) R))))
% 0.68/0.85  FOF formula (forall (G2:(complex->a)) (H:(complex->complex)) (R:(complex->a)) (F2:(a->complex)), ((((eq (complex->a)) ((comp_c274302683omplex G2) H)) R)->(((eq (complex->complex)) ((comp_c130555887omplex ((comp_a1063143865omplex F2) G2)) H)) ((comp_a1063143865omplex F2) R)))) of role axiom named fact_131_rewriteR__comp__comp
% 0.68/0.85  A new axiom: (forall (G2:(complex->a)) (H:(complex->complex)) (R:(complex->a)) (F2:(a->complex)), ((((eq (complex->a)) ((comp_c274302683omplex G2) H)) R)->(((eq (complex->complex)) ((comp_c130555887omplex ((comp_a1063143865omplex F2) G2)) H)) ((comp_a1063143865omplex F2) R))))
% 0.68/0.85  FOF formula (forall (G2:(complex->a)) (H:(complex->complex)) (R:(complex->a)) (F2:(a->a)), ((((eq (complex->a)) ((comp_c274302683omplex G2) H)) R)->(((eq (complex->a)) ((comp_c274302683omplex ((comp_a_a_complex F2) G2)) H)) ((comp_a_a_complex F2) R)))) of role axiom named fact_132_rewriteR__comp__comp
% 0.68/0.85  A new axiom: (forall (G2:(complex->a)) (H:(complex->complex)) (R:(complex->a)) (F2:(a->a)), ((((eq (complex->a)) ((comp_c274302683omplex G2) H)) R)->(((eq (complex->a)) ((comp_c274302683omplex ((comp_a_a_complex F2) G2)) H)) ((comp_a_a_complex F2) R))))
% 0.68/0.85  FOF formula (forall (G2:(complex->a)) (H:(real->complex)) (R:(real->a)) (F2:(a->a)), ((((eq (real->a)) ((comp_complex_a_real G2) H)) R)->(((eq (real->a)) ((comp_complex_a_real ((comp_a_a_complex F2) G2)) H)) ((comp_a_a_real F2) R)))) of role axiom named fact_133_rewriteR__comp__comp
% 0.68/0.85  A new axiom: (forall (G2:(complex->a)) (H:(real->complex)) (R:(real->a)) (F2:(a->a)), ((((eq (real->a)) ((comp_complex_a_real G2) H)) R)->(((eq (real->a)) ((comp_complex_a_real ((comp_a_a_complex F2) G2)) H)) ((comp_a_a_real F2) R))))
% 0.68/0.85  FOF formula (forall (G2:(real->a)) (H:(complex->real)) (R:(complex->a)) (F2:(a->a)), ((((eq (complex->a)) ((comp_real_a_complex G2) H)) R)->(((eq (complex->a)) ((comp_real_a_complex ((comp_a_a_real F2) G2)) H)) ((comp_a_a_complex F2) R)))) of role axiom named fact_134_rewriteR__comp__comp
% 0.68/0.85  A new axiom: (forall (G2:(real->a)) (H:(complex->real)) (R:(complex->a)) (F2:(a->a)), ((((eq (complex->a)) ((comp_real_a_complex G2) H)) R)->(((eq (complex->a)) ((comp_real_a_complex ((comp_a_a_real F2) G2)) H)) ((comp_a_a_complex F2) R))))
% 0.68/0.85  FOF formula (forall (G2:(real->a)) (H:(a->real)) (R:(a->a)) (F2:(a->a)), ((((eq (a->a)) ((comp_real_a_a G2) H)) R)->(((eq (a->a)) ((comp_real_a_a ((comp_a_a_real F2) G2)) H)) ((comp_a_a_a F2) R)))) of role axiom named fact_135_rewriteR__comp__comp
% 0.68/0.85  A new axiom: (forall (G2:(real->a)) (H:(a->real)) (R:(a->a)) (F2:(a->a)), ((((eq (a->a)) ((comp_real_a_a G2) H)) R)->(((eq (a->a)) ((comp_real_a_a ((comp_a_a_real F2) G2)) H)) ((comp_a_a_a F2) R))))
% 0.68/0.85  FOF formula (forall (G2:(complex->complex)) (H:(a->complex)) (R:(a->complex)) (F2:(complex->a)), ((((eq (a->complex)) ((comp_c124850173plex_a G2) H)) R)->(((eq (a->a)) ((comp_complex_a_a ((comp_c274302683omplex F2) G2)) H)) ((comp_complex_a_a F2) R)))) of role axiom named fact_136_rewriteR__comp__comp
% 0.68/0.85  A new axiom: (forall (G2:(complex->complex)) (H:(a->complex)) (R:(a->complex)) (F2:(complex->a)), ((((eq (a->complex)) ((comp_c124850173plex_a G2) H)) R)->(((eq (a->a)) ((comp_complex_a_a ((comp_c274302683omplex F2) G2)) H)) ((comp_complex_a_a F2) R))))
% 0.68/0.85  FOF formula (forall (G2:(real->real)) (H:(real->real)) (R:(real->real)) (F2:(real->a)), ((((eq (real->real)) ((comp_real_real_real G2) H)) R)->(((eq (real->a)) ((comp_real_a_real ((comp_real_a_real F2) G2)) H)) ((comp_real_a_real F2) R)))) of role axiom named fact_137_rewriteR__comp__comp
% 0.68/0.85  A new axiom: (forall (G2:(real->real)) (H:(real->real)) (R:(real->real)) (F2:(real->a)), ((((eq (real->real)) ((comp_real_real_real G2) H)) R)->(((eq (real->a)) ((comp_real_a_real ((comp_real_a_real F2) G2)) H)) ((comp_real_a_real F2) R))))
% 0.68/0.85  FOF formula (forall (F2:(complex->complex)) (G2:(a->complex)) (L:(a->complex)) (H:(real->a)), ((((eq (a->complex)) ((comp_c124850173plex_a F2) G2)) L)->(((eq (real->complex)) ((comp_c595887981x_real F2) ((comp_a_complex_real G2) H))) ((comp_a_complex_real L) H)))) of role axiom named fact_138_rewriteL__comp__comp
% 0.68/0.86  A new axiom: (forall (F2:(complex->complex)) (G2:(a->complex)) (L:(a->complex)) (H:(real->a)), ((((eq (a->complex)) ((comp_c124850173plex_a F2) G2)) L)->(((eq (real->complex)) ((comp_c595887981x_real F2) ((comp_a_complex_real G2) H))) ((comp_a_complex_real L) H))))
% 0.68/0.86  FOF formula (forall (F2:(complex->complex)) (G2:(a->complex)) (L:(a->complex)) (H:(complex->a)), ((((eq (a->complex)) ((comp_c124850173plex_a F2) G2)) L)->(((eq (complex->complex)) ((comp_c130555887omplex F2) ((comp_a1063143865omplex G2) H))) ((comp_a1063143865omplex L) H)))) of role axiom named fact_139_rewriteL__comp__comp
% 0.68/0.86  A new axiom: (forall (F2:(complex->complex)) (G2:(a->complex)) (L:(a->complex)) (H:(complex->a)), ((((eq (a->complex)) ((comp_c124850173plex_a F2) G2)) L)->(((eq (complex->complex)) ((comp_c130555887omplex F2) ((comp_a1063143865omplex G2) H))) ((comp_a1063143865omplex L) H))))
% 0.68/0.86  FOF formula (forall (F2:(complex->complex)) (G2:(a->complex)) (L:(a->complex)) (H:(a->a)), ((((eq (a->complex)) ((comp_c124850173plex_a F2) G2)) L)->(((eq (a->complex)) ((comp_c124850173plex_a F2) ((comp_a_complex_a G2) H))) ((comp_a_complex_a L) H)))) of role axiom named fact_140_rewriteL__comp__comp
% 0.68/0.86  A new axiom: (forall (F2:(complex->complex)) (G2:(a->complex)) (L:(a->complex)) (H:(a->a)), ((((eq (a->complex)) ((comp_c124850173plex_a F2) G2)) L)->(((eq (a->complex)) ((comp_c124850173plex_a F2) ((comp_a_complex_a G2) H))) ((comp_a_complex_a L) H))))
% 0.68/0.86  FOF formula (forall (F2:(complex->a)) (G2:(complex->complex)) (L:(complex->a)) (H:(a->complex)), ((((eq (complex->a)) ((comp_c274302683omplex F2) G2)) L)->(((eq (a->a)) ((comp_complex_a_a F2) ((comp_c124850173plex_a G2) H))) ((comp_complex_a_a L) H)))) of role axiom named fact_141_rewriteL__comp__comp
% 0.68/0.86  A new axiom: (forall (F2:(complex->a)) (G2:(complex->complex)) (L:(complex->a)) (H:(a->complex)), ((((eq (complex->a)) ((comp_c274302683omplex F2) G2)) L)->(((eq (a->a)) ((comp_complex_a_a F2) ((comp_c124850173plex_a G2) H))) ((comp_complex_a_a L) H))))
% 0.68/0.86  FOF formula (forall (F2:(real->a)) (G2:(a->real)) (L:(a->a)) (H:(real->a)), ((((eq (a->a)) ((comp_real_a_a F2) G2)) L)->(((eq (real->a)) ((comp_real_a_real F2) ((comp_a_real_real G2) H))) ((comp_a_a_real L) H)))) of role axiom named fact_142_rewriteL__comp__comp
% 0.68/0.86  A new axiom: (forall (F2:(real->a)) (G2:(a->real)) (L:(a->a)) (H:(real->a)), ((((eq (a->a)) ((comp_real_a_a F2) G2)) L)->(((eq (real->a)) ((comp_real_a_real F2) ((comp_a_real_real G2) H))) ((comp_a_a_real L) H))))
% 0.68/0.86  FOF formula (forall (F2:(a->complex)) (G2:(real->a)) (L:(real->complex)) (H:(real->real)), ((((eq (real->complex)) ((comp_a_complex_real F2) G2)) L)->(((eq (real->complex)) ((comp_a_complex_real F2) ((comp_real_a_real G2) H))) ((comp_r701421291x_real L) H)))) of role axiom named fact_143_rewriteL__comp__comp
% 0.68/0.86  A new axiom: (forall (F2:(a->complex)) (G2:(real->a)) (L:(real->complex)) (H:(real->real)), ((((eq (real->complex)) ((comp_a_complex_real F2) G2)) L)->(((eq (real->complex)) ((comp_a_complex_real F2) ((comp_real_a_real G2) H))) ((comp_r701421291x_real L) H))))
% 0.68/0.86  FOF formula (forall (F2:(a->complex)) (G2:(real->a)) (L:(real->complex)) (H:(complex->real)), ((((eq (real->complex)) ((comp_a_complex_real F2) G2)) L)->(((eq (complex->complex)) ((comp_a1063143865omplex F2) ((comp_real_a_complex G2) H))) ((comp_r667767405omplex L) H)))) of role axiom named fact_144_rewriteL__comp__comp
% 0.68/0.86  A new axiom: (forall (F2:(a->complex)) (G2:(real->a)) (L:(real->complex)) (H:(complex->real)), ((((eq (real->complex)) ((comp_a_complex_real F2) G2)) L)->(((eq (complex->complex)) ((comp_a1063143865omplex F2) ((comp_real_a_complex G2) H))) ((comp_r667767405omplex L) H))))
% 0.68/0.86  FOF formula (forall (F2:(a->complex)) (G2:(real->a)) (L:(real->complex)) (H:(a->real)), ((((eq (real->complex)) ((comp_a_complex_real F2) G2)) L)->(((eq (a->complex)) ((comp_a_complex_a F2) ((comp_real_a_a G2) H))) ((comp_real_complex_a L) H)))) of role axiom named fact_145_rewriteL__comp__comp
% 0.68/0.86  A new axiom: (forall (F2:(a->complex)) (G2:(real->a)) (L:(real->complex)) (H:(a->real)), ((((eq (real->complex)) ((comp_a_complex_real F2) G2)) L)->(((eq (a->complex)) ((comp_a_complex_a F2) ((comp_real_a_a G2) H))) ((comp_real_complex_a L) H))))
% 0.72/0.87  FOF formula (forall (F2:(a->complex)) (G2:(complex->a)) (L:(complex->complex)) (H:(real->complex)), ((((eq (complex->complex)) ((comp_a1063143865omplex F2) G2)) L)->(((eq (real->complex)) ((comp_a_complex_real F2) ((comp_complex_a_real G2) H))) ((comp_c595887981x_real L) H)))) of role axiom named fact_146_rewriteL__comp__comp
% 0.72/0.87  A new axiom: (forall (F2:(a->complex)) (G2:(complex->a)) (L:(complex->complex)) (H:(real->complex)), ((((eq (complex->complex)) ((comp_a1063143865omplex F2) G2)) L)->(((eq (real->complex)) ((comp_a_complex_real F2) ((comp_complex_a_real G2) H))) ((comp_c595887981x_real L) H))))
% 0.72/0.87  FOF formula (forall (F2:(a->complex)) (G2:(complex->a)) (L:(complex->complex)) (H:(complex->complex)), ((((eq (complex->complex)) ((comp_a1063143865omplex F2) G2)) L)->(((eq (complex->complex)) ((comp_a1063143865omplex F2) ((comp_c274302683omplex G2) H))) ((comp_c130555887omplex L) H)))) of role axiom named fact_147_rewriteL__comp__comp
% 0.72/0.87  A new axiom: (forall (F2:(a->complex)) (G2:(complex->a)) (L:(complex->complex)) (H:(complex->complex)), ((((eq (complex->complex)) ((comp_a1063143865omplex F2) G2)) L)->(((eq (complex->complex)) ((comp_a1063143865omplex F2) ((comp_c274302683omplex G2) H))) ((comp_c130555887omplex L) H))))
% 0.72/0.87  FOF formula (forall (F2:(a->complex)) (X2:a) (Y:a), (((inj_on_a_complex F2) top_top_set_a)->((((eq complex) (F2 X2)) (F2 Y))->(((eq a) X2) Y)))) of role axiom named fact_148_injD
% 0.72/0.87  A new axiom: (forall (F2:(a->complex)) (X2:a) (Y:a), (((inj_on_a_complex F2) top_top_set_a)->((((eq complex) (F2 X2)) (F2 Y))->(((eq a) X2) Y))))
% 0.72/0.87  FOF formula (forall (F2:(complex->a)) (X2:complex) (Y:complex), (((inj_on_complex_a F2) top_top_set_complex)->((((eq a) (F2 X2)) (F2 Y))->(((eq complex) X2) Y)))) of role axiom named fact_149_injD
% 0.72/0.87  A new axiom: (forall (F2:(complex->a)) (X2:complex) (Y:complex), (((inj_on_complex_a F2) top_top_set_complex)->((((eq a) (F2 X2)) (F2 Y))->(((eq complex) X2) Y))))
% 0.72/0.87  FOF formula (forall (F2:(a->complex)), ((forall (X4:a) (Y2:a), ((((eq complex) (F2 X4)) (F2 Y2))->(((eq a) X4) Y2)))->((inj_on_a_complex F2) top_top_set_a))) of role axiom named fact_150_injI
% 0.72/0.87  A new axiom: (forall (F2:(a->complex)), ((forall (X4:a) (Y2:a), ((((eq complex) (F2 X4)) (F2 Y2))->(((eq a) X4) Y2)))->((inj_on_a_complex F2) top_top_set_a)))
% 0.72/0.87  FOF formula (forall (F2:(complex->a)), ((forall (X4:complex) (Y2:complex), ((((eq a) (F2 X4)) (F2 Y2))->(((eq complex) X4) Y2)))->((inj_on_complex_a F2) top_top_set_complex))) of role axiom named fact_151_injI
% 0.72/0.87  A new axiom: (forall (F2:(complex->a)), ((forall (X4:complex) (Y2:complex), ((((eq a) (F2 X4)) (F2 Y2))->(((eq complex) X4) Y2)))->((inj_on_complex_a F2) top_top_set_complex)))
% 0.72/0.87  FOF formula (forall (F2:(a->complex)) (X2:a) (Y:a), (((inj_on_a_complex F2) top_top_set_a)->(((eq Prop) (((eq complex) (F2 X2)) (F2 Y))) (((eq a) X2) Y)))) of role axiom named fact_152_inj__eq
% 0.72/0.87  A new axiom: (forall (F2:(a->complex)) (X2:a) (Y:a), (((inj_on_a_complex F2) top_top_set_a)->(((eq Prop) (((eq complex) (F2 X2)) (F2 Y))) (((eq a) X2) Y))))
% 0.72/0.87  FOF formula (forall (F2:(complex->a)) (X2:complex) (Y:complex), (((inj_on_complex_a F2) top_top_set_complex)->(((eq Prop) (((eq a) (F2 X2)) (F2 Y))) (((eq complex) X2) Y)))) of role axiom named fact_153_inj__eq
% 0.72/0.87  A new axiom: (forall (F2:(complex->a)) (X2:complex) (Y:complex), (((inj_on_complex_a F2) top_top_set_complex)->(((eq Prop) (((eq a) (F2 X2)) (F2 Y))) (((eq complex) X2) Y))))
% 0.72/0.87  FOF formula (forall (F2:(a->complex)), (((eq Prop) ((inj_on_a_complex F2) top_top_set_a)) (forall (X:a) (Y3:a), ((((eq complex) (F2 X)) (F2 Y3))->(((eq a) X) Y3))))) of role axiom named fact_154_inj__def
% 0.72/0.87  A new axiom: (forall (F2:(a->complex)), (((eq Prop) ((inj_on_a_complex F2) top_top_set_a)) (forall (X:a) (Y3:a), ((((eq complex) (F2 X)) (F2 Y3))->(((eq a) X) Y3)))))
% 0.72/0.87  FOF formula (forall (F2:(complex->a)), (((eq Prop) ((inj_on_complex_a F2) top_top_set_complex)) (forall (X:complex) (Y3:complex), ((((eq a) (F2 X)) (F2 Y3))->(((eq complex) X) Y3))))) of role axiom named fact_155_inj__def
% 0.72/0.88  A new axiom: (forall (F2:(complex->a)), (((eq Prop) ((inj_on_complex_a F2) top_top_set_complex)) (forall (X:complex) (Y3:complex), ((((eq a) (F2 X)) (F2 Y3))->(((eq complex) X) Y3)))))
% 0.72/0.88  FOF formula (forall (F2:(a->complex)) (A2:set_a) (X2:a) (Y:a), (((inj_on_a_complex F2) A2)->((((eq complex) (F2 X2)) (F2 Y))->(((member_a X2) A2)->(((member_a Y) A2)->(((eq a) X2) Y)))))) of role axiom named fact_156_inj__onD
% 0.72/0.88  A new axiom: (forall (F2:(a->complex)) (A2:set_a) (X2:a) (Y:a), (((inj_on_a_complex F2) A2)->((((eq complex) (F2 X2)) (F2 Y))->(((member_a X2) A2)->(((member_a Y) A2)->(((eq a) X2) Y))))))
% 0.72/0.88  FOF formula (forall (F2:(complex->a)) (A2:set_complex) (X2:complex) (Y:complex), (((inj_on_complex_a F2) A2)->((((eq a) (F2 X2)) (F2 Y))->(((member_complex X2) A2)->(((member_complex Y) A2)->(((eq complex) X2) Y)))))) of role axiom named fact_157_inj__onD
% 0.72/0.88  A new axiom: (forall (F2:(complex->a)) (A2:set_complex) (X2:complex) (Y:complex), (((inj_on_complex_a F2) A2)->((((eq a) (F2 X2)) (F2 Y))->(((member_complex X2) A2)->(((member_complex Y) A2)->(((eq complex) X2) Y))))))
% 0.72/0.88  FOF formula (forall (A2:set_a) (F2:(a->complex)), ((forall (X4:a) (Y2:a), (((member_a X4) A2)->(((member_a Y2) A2)->((((eq complex) (F2 X4)) (F2 Y2))->(((eq a) X4) Y2)))))->((inj_on_a_complex F2) A2))) of role axiom named fact_158_inj__onI
% 0.72/0.88  A new axiom: (forall (A2:set_a) (F2:(a->complex)), ((forall (X4:a) (Y2:a), (((member_a X4) A2)->(((member_a Y2) A2)->((((eq complex) (F2 X4)) (F2 Y2))->(((eq a) X4) Y2)))))->((inj_on_a_complex F2) A2)))
% 0.72/0.88  FOF formula (forall (A2:set_complex) (F2:(complex->a)), ((forall (X4:complex) (Y2:complex), (((member_complex X4) A2)->(((member_complex Y2) A2)->((((eq a) (F2 X4)) (F2 Y2))->(((eq complex) X4) Y2)))))->((inj_on_complex_a F2) A2))) of role axiom named fact_159_inj__onI
% 0.72/0.88  A new axiom: (forall (A2:set_complex) (F2:(complex->a)), ((forall (X4:complex) (Y2:complex), (((member_complex X4) A2)->(((member_complex Y2) A2)->((((eq a) (F2 X4)) (F2 Y2))->(((eq complex) X4) Y2)))))->((inj_on_complex_a F2) A2)))
% 0.72/0.88  FOF formula (((eq ((a->complex)->(set_a->Prop))) inj_on_a_complex) (fun (F:(a->complex)) (A4:set_a)=> (forall (X:a), (((member_a X) A4)->(forall (Y3:a), (((member_a Y3) A4)->((((eq complex) (F X)) (F Y3))->(((eq a) X) Y3)))))))) of role axiom named fact_160_inj__on__def
% 0.72/0.88  A new axiom: (((eq ((a->complex)->(set_a->Prop))) inj_on_a_complex) (fun (F:(a->complex)) (A4:set_a)=> (forall (X:a), (((member_a X) A4)->(forall (Y3:a), (((member_a Y3) A4)->((((eq complex) (F X)) (F Y3))->(((eq a) X) Y3))))))))
% 0.72/0.88  FOF formula (((eq ((complex->a)->(set_complex->Prop))) inj_on_complex_a) (fun (F:(complex->a)) (A4:set_complex)=> (forall (X:complex), (((member_complex X) A4)->(forall (Y3:complex), (((member_complex Y3) A4)->((((eq a) (F X)) (F Y3))->(((eq complex) X) Y3)))))))) of role axiom named fact_161_inj__on__def
% 0.72/0.88  A new axiom: (((eq ((complex->a)->(set_complex->Prop))) inj_on_complex_a) (fun (F:(complex->a)) (A4:set_complex)=> (forall (X:complex), (((member_complex X) A4)->(forall (Y3:complex), (((member_complex Y3) A4)->((((eq a) (F X)) (F Y3))->(((eq complex) X) Y3))))))))
% 0.72/0.88  FOF formula (forall (A2:set_a) (F2:(a->complex)) (G2:(a->complex)), ((forall (A5:a), (((member_a A5) A2)->(((eq complex) (F2 A5)) (G2 A5))))->(((eq Prop) ((inj_on_a_complex F2) A2)) ((inj_on_a_complex G2) A2)))) of role axiom named fact_162_inj__on__cong
% 0.72/0.88  A new axiom: (forall (A2:set_a) (F2:(a->complex)) (G2:(a->complex)), ((forall (A5:a), (((member_a A5) A2)->(((eq complex) (F2 A5)) (G2 A5))))->(((eq Prop) ((inj_on_a_complex F2) A2)) ((inj_on_a_complex G2) A2))))
% 0.72/0.88  FOF formula (forall (A2:set_complex) (F2:(complex->a)) (G2:(complex->a)), ((forall (A5:complex), (((member_complex A5) A2)->(((eq a) (F2 A5)) (G2 A5))))->(((eq Prop) ((inj_on_complex_a F2) A2)) ((inj_on_complex_a G2) A2)))) of role axiom named fact_163_inj__on__cong
% 0.72/0.88  A new axiom: (forall (A2:set_complex) (F2:(complex->a)) (G2:(complex->a)), ((forall (A5:complex), (((member_complex A5) A2)->(((eq a) (F2 A5)) (G2 A5))))->(((eq Prop) ((inj_on_complex_a F2) A2)) ((inj_on_complex_a G2) A2))))
% 0.72/0.89  FOF formula (forall (F2:(a->complex)) (A2:set_a) (X2:a) (Y:a), (((inj_on_a_complex F2) A2)->(((member_a X2) A2)->(((member_a Y) A2)->(((eq Prop) (((eq complex) (F2 X2)) (F2 Y))) (((eq a) X2) Y)))))) of role axiom named fact_164_inj__on__eq__iff
% 0.72/0.89  A new axiom: (forall (F2:(a->complex)) (A2:set_a) (X2:a) (Y:a), (((inj_on_a_complex F2) A2)->(((member_a X2) A2)->(((member_a Y) A2)->(((eq Prop) (((eq complex) (F2 X2)) (F2 Y))) (((eq a) X2) Y))))))
% 0.72/0.89  FOF formula (forall (F2:(complex->a)) (A2:set_complex) (X2:complex) (Y:complex), (((inj_on_complex_a F2) A2)->(((member_complex X2) A2)->(((member_complex Y) A2)->(((eq Prop) (((eq a) (F2 X2)) (F2 Y))) (((eq complex) X2) Y)))))) of role axiom named fact_165_inj__on__eq__iff
% 0.72/0.89  A new axiom: (forall (F2:(complex->a)) (A2:set_complex) (X2:complex) (Y:complex), (((inj_on_complex_a F2) A2)->(((member_complex X2) A2)->(((member_complex Y) A2)->(((eq Prop) (((eq a) (F2 X2)) (F2 Y))) (((eq complex) X2) Y))))))
% 0.72/0.89  FOF formula (forall (F2:(a->complex)) (A2:set_a) (X2:a) (Y:a), (((inj_on_a_complex F2) A2)->((not (((eq a) X2) Y))->(((member_a X2) A2)->(((member_a Y) A2)->(not (((eq complex) (F2 X2)) (F2 Y)))))))) of role axiom named fact_166_inj__on__contraD
% 0.72/0.89  A new axiom: (forall (F2:(a->complex)) (A2:set_a) (X2:a) (Y:a), (((inj_on_a_complex F2) A2)->((not (((eq a) X2) Y))->(((member_a X2) A2)->(((member_a Y) A2)->(not (((eq complex) (F2 X2)) (F2 Y))))))))
% 0.72/0.89  FOF formula (forall (F2:(complex->a)) (A2:set_complex) (X2:complex) (Y:complex), (((inj_on_complex_a F2) A2)->((not (((eq complex) X2) Y))->(((member_complex X2) A2)->(((member_complex Y) A2)->(not (((eq a) (F2 X2)) (F2 Y)))))))) of role axiom named fact_167_inj__on__contraD
% 0.72/0.89  A new axiom: (forall (F2:(complex->a)) (A2:set_complex) (X2:complex) (Y:complex), (((inj_on_complex_a F2) A2)->((not (((eq complex) X2) Y))->(((member_complex X2) A2)->(((member_complex Y) A2)->(not (((eq a) (F2 X2)) (F2 Y))))))))
% 0.72/0.89  FOF formula (forall (A2:set_a) (G2:(complex->a)) (F2:(a->complex)), ((forall (X4:a), (((member_a X4) A2)->(((eq a) (G2 (F2 X4))) X4)))->((inj_on_a_complex F2) A2))) of role axiom named fact_168_inj__on__inverseI
% 0.72/0.89  A new axiom: (forall (A2:set_a) (G2:(complex->a)) (F2:(a->complex)), ((forall (X4:a), (((member_a X4) A2)->(((eq a) (G2 (F2 X4))) X4)))->((inj_on_a_complex F2) A2)))
% 0.72/0.89  FOF formula (forall (A2:set_complex) (G2:(a->complex)) (F2:(complex->a)), ((forall (X4:complex), (((member_complex X4) A2)->(((eq complex) (G2 (F2 X4))) X4)))->((inj_on_complex_a F2) A2))) of role axiom named fact_169_inj__on__inverseI
% 0.72/0.89  A new axiom: (forall (A2:set_complex) (G2:(a->complex)) (F2:(complex->a)), ((forall (X4:complex), (((member_complex X4) A2)->(((eq complex) (G2 (F2 X4))) X4)))->((inj_on_complex_a F2) A2)))
% 0.72/0.89  FOF formula (forall (F2:(real->a)) (G2:(real->real)), (((inj_on_real_a F2) top_top_set_real)->(((inj_on_real_real G2) top_top_set_real)->((inj_on_real_a ((comp_real_a_real F2) G2)) top_top_set_real)))) of role axiom named fact_170_inj__compose
% 0.72/0.89  A new axiom: (forall (F2:(real->a)) (G2:(real->real)), (((inj_on_real_a F2) top_top_set_real)->(((inj_on_real_real G2) top_top_set_real)->((inj_on_real_a ((comp_real_a_real F2) G2)) top_top_set_real))))
% 0.72/0.89  FOF formula (forall (F2:(a->a)) (G2:(real->a)), (((inj_on_a_a F2) top_top_set_a)->(((inj_on_real_a G2) top_top_set_real)->((inj_on_real_a ((comp_a_a_real F2) G2)) top_top_set_real)))) of role axiom named fact_171_inj__compose
% 0.72/0.89  A new axiom: (forall (F2:(a->a)) (G2:(real->a)), (((inj_on_a_a F2) top_top_set_a)->(((inj_on_real_a G2) top_top_set_real)->((inj_on_real_a ((comp_a_a_real F2) G2)) top_top_set_real))))
% 0.72/0.89  FOF formula (forall (F2:(a->complex)) (G2:(real->a)), (((inj_on_a_complex F2) top_top_set_a)->(((inj_on_real_a G2) top_top_set_real)->((inj_on_real_complex ((comp_a_complex_real F2) G2)) top_top_set_real)))) of role axiom named fact_172_inj__compose
% 0.72/0.89  A new axiom: (forall (F2:(a->complex)) (G2:(real->a)), (((inj_on_a_complex F2) top_top_set_a)->(((inj_on_real_a G2) top_top_set_real)->((inj_on_real_complex ((comp_a_complex_real F2) G2)) top_top_set_real))))
% 0.72/0.89  FOF formula (forall (F2:(a->a)) (G2:(a->a)), (((inj_on_a_a F2) top_top_set_a)->(((inj_on_a_a G2) top_top_set_a)->((inj_on_a_a ((comp_a_a_a F2) G2)) top_top_set_a)))) of role axiom named fact_173_inj__compose
% 0.72/0.90  A new axiom: (forall (F2:(a->a)) (G2:(a->a)), (((inj_on_a_a F2) top_top_set_a)->(((inj_on_a_a G2) top_top_set_a)->((inj_on_a_a ((comp_a_a_a F2) G2)) top_top_set_a))))
% 0.72/0.90  FOF formula (forall (F2:(a->complex)) (G2:(a->a)), (((inj_on_a_complex F2) top_top_set_a)->(((inj_on_a_a G2) top_top_set_a)->((inj_on_a_complex ((comp_a_complex_a F2) G2)) top_top_set_a)))) of role axiom named fact_174_inj__compose
% 0.72/0.90  A new axiom: (forall (F2:(a->complex)) (G2:(a->a)), (((inj_on_a_complex F2) top_top_set_a)->(((inj_on_a_a G2) top_top_set_a)->((inj_on_a_complex ((comp_a_complex_a F2) G2)) top_top_set_a))))
% 0.72/0.90  FOF formula (forall (F2:(a->a)) (G2:(complex->a)), (((inj_on_a_a F2) top_top_set_a)->(((inj_on_complex_a G2) top_top_set_complex)->((inj_on_complex_a ((comp_a_a_complex F2) G2)) top_top_set_complex)))) of role axiom named fact_175_inj__compose
% 0.72/0.90  A new axiom: (forall (F2:(a->a)) (G2:(complex->a)), (((inj_on_a_a F2) top_top_set_a)->(((inj_on_complex_a G2) top_top_set_complex)->((inj_on_complex_a ((comp_a_a_complex F2) G2)) top_top_set_complex))))
% 0.72/0.90  FOF formula (forall (F2:(a->complex)) (G2:(complex->a)), (((inj_on_a_complex F2) top_top_set_a)->(((inj_on_complex_a G2) top_top_set_complex)->((inj_on94911183omplex ((comp_a1063143865omplex F2) G2)) top_top_set_complex)))) of role axiom named fact_176_inj__compose
% 0.72/0.90  A new axiom: (forall (F2:(a->complex)) (G2:(complex->a)), (((inj_on_a_complex F2) top_top_set_a)->(((inj_on_complex_a G2) top_top_set_complex)->((inj_on94911183omplex ((comp_a1063143865omplex F2) G2)) top_top_set_complex))))
% 0.72/0.90  FOF formula (forall (F2:(complex->complex)) (G2:(a->complex)), (((inj_on94911183omplex F2) top_top_set_complex)->(((inj_on_a_complex G2) top_top_set_a)->((inj_on_a_complex ((comp_c124850173plex_a F2) G2)) top_top_set_a)))) of role axiom named fact_177_inj__compose
% 0.72/0.90  A new axiom: (forall (F2:(complex->complex)) (G2:(a->complex)), (((inj_on94911183omplex F2) top_top_set_complex)->(((inj_on_a_complex G2) top_top_set_a)->((inj_on_a_complex ((comp_c124850173plex_a F2) G2)) top_top_set_a))))
% 0.72/0.90  FOF formula (forall (F2:(complex->a)) (G2:(a->complex)), (((inj_on_complex_a F2) top_top_set_complex)->(((inj_on_a_complex G2) top_top_set_a)->((inj_on_a_a ((comp_complex_a_a F2) G2)) top_top_set_a)))) of role axiom named fact_178_inj__compose
% 0.72/0.90  A new axiom: (forall (F2:(complex->a)) (G2:(a->complex)), (((inj_on_complex_a F2) top_top_set_complex)->(((inj_on_a_complex G2) top_top_set_a)->((inj_on_a_a ((comp_complex_a_a F2) G2)) top_top_set_a))))
% 0.72/0.90  FOF formula (forall (F2:(complex->a)) (G2:(complex->complex)), (((inj_on_complex_a F2) top_top_set_complex)->(((inj_on94911183omplex G2) top_top_set_complex)->((inj_on_complex_a ((comp_c274302683omplex F2) G2)) top_top_set_complex)))) of role axiom named fact_179_inj__compose
% 0.72/0.90  A new axiom: (forall (F2:(complex->a)) (G2:(complex->complex)), (((inj_on_complex_a F2) top_top_set_complex)->(((inj_on94911183omplex G2) top_top_set_complex)->((inj_on_complex_a ((comp_c274302683omplex F2) G2)) top_top_set_complex))))
% 0.72/0.90  FOF formula (forall (F3:(a->complex)) (F2:(real->a)) (A2:set_real), (((inj_on_real_complex ((comp_a_complex_real F3) F2)) A2)->((inj_on_real_a F2) A2))) of role axiom named fact_180_inj__on__imageI2
% 0.72/0.90  A new axiom: (forall (F3:(a->complex)) (F2:(real->a)) (A2:set_real), (((inj_on_real_complex ((comp_a_complex_real F3) F2)) A2)->((inj_on_real_a F2) A2)))
% 0.72/0.90  FOF formula (forall (F3:(real->a)) (F2:(real->real)) (A2:set_real), (((inj_on_real_a ((comp_real_a_real F3) F2)) A2)->((inj_on_real_real F2) A2))) of role axiom named fact_181_inj__on__imageI2
% 0.72/0.90  A new axiom: (forall (F3:(real->a)) (F2:(real->real)) (A2:set_real), (((inj_on_real_a ((comp_real_a_real F3) F2)) A2)->((inj_on_real_real F2) A2)))
% 0.72/0.90  FOF formula (forall (F3:(a->a)) (F2:(real->a)) (A2:set_real), (((inj_on_real_a ((comp_a_a_real F3) F2)) A2)->((inj_on_real_a F2) A2))) of role axiom named fact_182_inj__on__imageI2
% 0.72/0.90  A new axiom: (forall (F3:(a->a)) (F2:(real->a)) (A2:set_real), (((inj_on_real_a ((comp_a_a_real F3) F2)) A2)->((inj_on_real_a F2) A2)))
% 0.72/0.91  FOF formula (forall (F3:(a->a)) (F2:(a->a)) (A2:set_a), (((inj_on_a_a ((comp_a_a_a F3) F2)) A2)->((inj_on_a_a F2) A2))) of role axiom named fact_183_inj__on__imageI2
% 0.72/0.91  A new axiom: (forall (F3:(a->a)) (F2:(a->a)) (A2:set_a), (((inj_on_a_a ((comp_a_a_a F3) F2)) A2)->((inj_on_a_a F2) A2)))
% 0.72/0.91  FOF formula (forall (F3:(complex->a)) (F2:(a->complex)) (A2:set_a), (((inj_on_a_a ((comp_complex_a_a F3) F2)) A2)->((inj_on_a_complex F2) A2))) of role axiom named fact_184_inj__on__imageI2
% 0.72/0.91  A new axiom: (forall (F3:(complex->a)) (F2:(a->complex)) (A2:set_a), (((inj_on_a_a ((comp_complex_a_a F3) F2)) A2)->((inj_on_a_complex F2) A2)))
% 0.72/0.91  FOF formula (forall (F3:(a->complex)) (F2:(complex->a)) (A2:set_complex), (((inj_on94911183omplex ((comp_a1063143865omplex F3) F2)) A2)->((inj_on_complex_a F2) A2))) of role axiom named fact_185_inj__on__imageI2
% 0.72/0.91  A new axiom: (forall (F3:(a->complex)) (F2:(complex->a)) (A2:set_complex), (((inj_on94911183omplex ((comp_a1063143865omplex F3) F2)) A2)->((inj_on_complex_a F2) A2)))
% 0.72/0.91  FOF formula (forall (F3:(a->complex)) (F2:(a->a)) (A2:set_a), (((inj_on_a_complex ((comp_a_complex_a F3) F2)) A2)->((inj_on_a_a F2) A2))) of role axiom named fact_186_inj__on__imageI2
% 0.72/0.91  A new axiom: (forall (F3:(a->complex)) (F2:(a->a)) (A2:set_a), (((inj_on_a_complex ((comp_a_complex_a F3) F2)) A2)->((inj_on_a_a F2) A2)))
% 0.72/0.91  FOF formula (forall (F3:(complex->complex)) (F2:(a->complex)) (A2:set_a), (((inj_on_a_complex ((comp_c124850173plex_a F3) F2)) A2)->((inj_on_a_complex F2) A2))) of role axiom named fact_187_inj__on__imageI2
% 0.72/0.91  A new axiom: (forall (F3:(complex->complex)) (F2:(a->complex)) (A2:set_a), (((inj_on_a_complex ((comp_c124850173plex_a F3) F2)) A2)->((inj_on_a_complex F2) A2)))
% 0.72/0.91  FOF formula (forall (F3:(a->a)) (F2:(complex->a)) (A2:set_complex), (((inj_on_complex_a ((comp_a_a_complex F3) F2)) A2)->((inj_on_complex_a F2) A2))) of role axiom named fact_188_inj__on__imageI2
% 0.72/0.91  A new axiom: (forall (F3:(a->a)) (F2:(complex->a)) (A2:set_complex), (((inj_on_complex_a ((comp_a_a_complex F3) F2)) A2)->((inj_on_complex_a F2) A2)))
% 0.72/0.91  FOF formula (forall (F2:(real->a)) (G2:(real->real)), ((real_V779700657real_a F2)->(((inj_on_real_a F2) top_top_set_real)->(((eq Prop) (path_simple_path_a ((comp_real_a_real F2) G2))) (path_s1005760220h_real G2))))) of role axiom named fact_189_simple__path__linear__image__eq
% 0.72/0.91  A new axiom: (forall (F2:(real->a)) (G2:(real->real)), ((real_V779700657real_a F2)->(((inj_on_real_a F2) top_top_set_real)->(((eq Prop) (path_simple_path_a ((comp_real_a_real F2) G2))) (path_s1005760220h_real G2)))))
% 0.72/0.91  FOF formula (forall (F2:(a->a)) (G2:(real->a)), ((real_V202220639ar_a_a F2)->(((inj_on_a_a F2) top_top_set_a)->(((eq Prop) (path_simple_path_a ((comp_a_a_real F2) G2))) (path_simple_path_a G2))))) of role axiom named fact_190_simple__path__linear__image__eq
% 0.72/0.91  A new axiom: (forall (F2:(a->a)) (G2:(real->a)), ((real_V202220639ar_a_a F2)->(((inj_on_a_a F2) top_top_set_a)->(((eq Prop) (path_simple_path_a ((comp_a_a_real F2) G2))) (path_simple_path_a G2)))))
% 0.72/0.91  FOF formula (forall (F2:(complex->a)) (G2:(real->complex)), ((real_V1327653935plex_a F2)->(((inj_on_complex_a F2) top_top_set_complex)->(((eq Prop) (path_simple_path_a ((comp_complex_a_real F2) G2))) (path_s36253918omplex G2))))) of role axiom named fact_191_simple__path__linear__image__eq
% 0.72/0.91  A new axiom: (forall (F2:(complex->a)) (G2:(real->complex)), ((real_V1327653935plex_a F2)->(((inj_on_complex_a F2) top_top_set_complex)->(((eq Prop) (path_simple_path_a ((comp_complex_a_real F2) G2))) (path_s36253918omplex G2)))))
% 0.72/0.91  FOF formula (forall (F2:(a->complex)) (G2:(real->a)), ((real_V1477106445omplex F2)->(((inj_on_a_complex F2) top_top_set_a)->(((eq Prop) (path_s36253918omplex ((comp_a_complex_real F2) G2))) (path_simple_path_a G2))))) of role axiom named fact_192_simple__path__linear__image__eq
% 0.72/0.91  A new axiom: (forall (F2:(a->complex)) (G2:(real->a)), ((real_V1477106445omplex F2)->(((inj_on_a_complex F2) top_top_set_a)->(((eq Prop) (path_s36253918omplex ((comp_a_complex_real F2) G2))) (path_simple_path_a G2)))))
% 0.72/0.91  FOF formula (forall (F2:(complex->complex)) (G2:(real->complex)), ((real_V670066493omplex F2)->(((inj_on94911183omplex F2) top_top_set_complex)->(((eq Prop) (path_s36253918omplex ((comp_c595887981x_real F2) G2))) (path_s36253918omplex G2))))) of role axiom named fact_193_simple__path__linear__image__eq
% 0.72/0.92  A new axiom: (forall (F2:(complex->complex)) (G2:(real->complex)), ((real_V670066493omplex F2)->(((inj_on94911183omplex F2) top_top_set_complex)->(((eq Prop) (path_s36253918omplex ((comp_c595887981x_real F2) G2))) (path_s36253918omplex G2)))))
% 0.72/0.92  FOF formula (forall (F2:(real->a)), (((inj_on_real_a F2) top_top_set_real)->((inj_on958237983real_a (comp_real_a_real F2)) top_to1446257885l_real))) of role axiom named fact_194_fun_Oinj__map
% 0.72/0.92  A new axiom: (forall (F2:(real->a)), (((inj_on_real_a F2) top_top_set_real)->((inj_on958237983real_a (comp_real_a_real F2)) top_to1446257885l_real)))
% 0.72/0.92  FOF formula (forall (F2:(a->a)), (((inj_on_a_a F2) top_top_set_a)->((inj_on1576005937plex_a (comp_a_a_complex F2)) top_to525076535plex_a))) of role axiom named fact_195_fun_Oinj__map
% 0.72/0.92  A new axiom: (forall (F2:(a->a)), (((inj_on_a_a F2) top_top_set_a)->((inj_on1576005937plex_a (comp_a_a_complex F2)) top_to525076535plex_a)))
% 0.72/0.92  FOF formula (forall (F2:(a->a)), (((inj_on_a_a F2) top_top_set_a)->((inj_on_real_a_real_a (comp_a_a_real F2)) top_top_set_real_a))) of role axiom named fact_196_fun_Oinj__map
% 0.72/0.92  A new axiom: (forall (F2:(a->a)), (((inj_on_a_a F2) top_top_set_a)->((inj_on_real_a_real_a (comp_a_a_real F2)) top_top_set_real_a)))
% 0.72/0.92  FOF formula (forall (F2:(a->a)), (((inj_on_a_a F2) top_top_set_a)->((inj_on_a_a_a_a (comp_a_a_a F2)) top_top_set_a_a))) of role axiom named fact_197_fun_Oinj__map
% 0.72/0.92  A new axiom: (forall (F2:(a->a)), (((inj_on_a_a F2) top_top_set_a)->((inj_on_a_a_a_a (comp_a_a_a F2)) top_top_set_a_a)))
% 0.72/0.92  FOF formula (forall (F2:(a->complex)), (((inj_on_a_complex F2) top_top_set_a)->((inj_on319905617omplex (comp_a_complex_real F2)) top_top_set_real_a))) of role axiom named fact_198_fun_Oinj__map
% 0.72/0.92  A new axiom: (forall (F2:(a->complex)), (((inj_on_a_complex F2) top_top_set_a)->((inj_on319905617omplex (comp_a_complex_real F2)) top_top_set_real_a)))
% 0.72/0.92  FOF formula (forall (F2:(a->complex)), (((inj_on_a_complex F2) top_top_set_a)->((inj_on893405649omplex (comp_a1063143865omplex F2)) top_to525076535plex_a))) of role axiom named fact_199_fun_Oinj__map
% 0.72/0.92  A new axiom: (forall (F2:(a->complex)), (((inj_on_a_complex F2) top_top_set_a)->((inj_on893405649omplex (comp_a1063143865omplex F2)) top_to525076535plex_a)))
% 0.72/0.92  FOF formula (forall (F2:(a->complex)), (((inj_on_a_complex F2) top_top_set_a)->((inj_on_a_a_a_complex (comp_a_complex_a F2)) top_top_set_a_a))) of role axiom named fact_200_fun_Oinj__map
% 0.72/0.92  A new axiom: (forall (F2:(a->complex)), (((inj_on_a_complex F2) top_top_set_a)->((inj_on_a_a_a_complex (comp_a_complex_a F2)) top_top_set_a_a)))
% 0.72/0.92  FOF formula (forall (F2:(complex->a)), (((inj_on_complex_a F2) top_top_set_complex)->((inj_on_a_complex_a_a (comp_complex_a_a F2)) top_to2109114701omplex))) of role axiom named fact_201_fun_Oinj__map
% 0.72/0.92  A new axiom: (forall (F2:(complex->a)), (((inj_on_complex_a F2) top_top_set_complex)->((inj_on_a_complex_a_a (comp_complex_a_a F2)) top_to2109114701omplex)))
% 0.72/0.92  FOF formula (real_V762982918plex_a poinca837721858l_of_a) of role axiom named fact_202_real__of__bounded__linear
% 0.72/0.92  A new axiom: (real_V762982918plex_a poinca837721858l_of_a)
% 0.72/0.92  FOF formula (real_V1327653935plex_a poinca837721858l_of_a) of role axiom named fact_203_real__of__linear
% 0.72/0.92  A new axiom: (real_V1327653935plex_a poinca837721858l_of_a)
% 0.72/0.92  FOF formula (forall (X2:a), ((member_a X2) top_top_set_a)) of role axiom named fact_204_iso__tuple__UNIV__I
% 0.72/0.92  A new axiom: (forall (X2:a), ((member_a X2) top_top_set_a))
% 0.72/0.92  FOF formula (forall (X2:complex), ((member_complex X2) top_top_set_complex)) of role axiom named fact_205_iso__tuple__UNIV__I
% 0.72/0.92  A new axiom: (forall (X2:complex), ((member_complex X2) top_top_set_complex))
% 0.72/0.92  FOF formula (forall (X2:a), ((member_a X2) top_top_set_a)) of role axiom named fact_206_UNIV__I
% 0.72/0.92  A new axiom: (forall (X2:a), ((member_a X2) top_top_set_a))
% 0.72/0.92  FOF formula (forall (X2:complex), ((member_complex X2) top_top_set_complex)) of role axiom named fact_207_UNIV__I
% 0.72/0.93  A new axiom: (forall (X2:complex), ((member_complex X2) top_top_set_complex))
% 0.72/0.93  FOF formula (forall (F2:(a->complex)), ((real_V1477106445omplex F2)->((real_V451440129omplex F2)->(real_V912435428omplex F2)))) of role axiom named fact_208_bounded__linear_Ointro
% 0.72/0.93  A new axiom: (forall (F2:(a->complex)), ((real_V1477106445omplex F2)->((real_V451440129omplex F2)->(real_V912435428omplex F2))))
% 0.72/0.93  FOF formula (forall (F2:(complex->a)), ((real_V1327653935plex_a F2)->((real_V301987619plex_a F2)->(real_V762982918plex_a F2)))) of role axiom named fact_209_bounded__linear_Ointro
% 0.72/0.93  A new axiom: (forall (F2:(complex->a)), ((real_V1327653935plex_a F2)->((real_V301987619plex_a F2)->(real_V762982918plex_a F2))))
% 0.72/0.93  FOF formula (((eq ((a->complex)->Prop)) real_V912435428omplex) (fun (F:(a->complex))=> ((and (real_V1477106445omplex F)) (real_V451440129omplex F)))) of role axiom named fact_210_bounded__linear__def
% 0.72/0.93  A new axiom: (((eq ((a->complex)->Prop)) real_V912435428omplex) (fun (F:(a->complex))=> ((and (real_V1477106445omplex F)) (real_V451440129omplex F))))
% 0.72/0.93  FOF formula (((eq ((complex->a)->Prop)) real_V762982918plex_a) (fun (F:(complex->a))=> ((and (real_V1327653935plex_a F)) (real_V301987619plex_a F)))) of role axiom named fact_211_bounded__linear__def
% 0.72/0.93  A new axiom: (((eq ((complex->a)->Prop)) real_V762982918plex_a) (fun (F:(complex->a))=> ((and (real_V1327653935plex_a F)) (real_V301987619plex_a F))))
% 0.72/0.93  FOF formula (forall (F2:(real->a)) (G2:(real->real)), ((real_V779700657real_a F2)->(((inj_on_real_a F2) top_top_set_real)->(((eq Prop) (path_arc_a ((comp_real_a_real F2) G2))) (path_arc_real G2))))) of role axiom named fact_212_arc__linear__image__eq
% 0.72/0.93  A new axiom: (forall (F2:(real->a)) (G2:(real->real)), ((real_V779700657real_a F2)->(((inj_on_real_a F2) top_top_set_real)->(((eq Prop) (path_arc_a ((comp_real_a_real F2) G2))) (path_arc_real G2)))))
% 0.72/0.93  FOF formula (forall (F2:(a->a)) (G2:(real->a)), ((real_V202220639ar_a_a F2)->(((inj_on_a_a F2) top_top_set_a)->(((eq Prop) (path_arc_a ((comp_a_a_real F2) G2))) (path_arc_a G2))))) of role axiom named fact_213_arc__linear__image__eq
% 0.72/0.93  A new axiom: (forall (F2:(a->a)) (G2:(real->a)), ((real_V202220639ar_a_a F2)->(((inj_on_a_a F2) top_top_set_a)->(((eq Prop) (path_arc_a ((comp_a_a_real F2) G2))) (path_arc_a G2)))))
% 0.72/0.93  FOF formula (forall (F2:(a->complex)) (G2:(real->a)), ((real_V1477106445omplex F2)->(((inj_on_a_complex F2) top_top_set_a)->(((eq Prop) (path_arc_complex ((comp_a_complex_real F2) G2))) (path_arc_a G2))))) of role axiom named fact_214_arc__linear__image__eq
% 0.72/0.93  A new axiom: (forall (F2:(a->complex)) (G2:(real->a)), ((real_V1477106445omplex F2)->(((inj_on_a_complex F2) top_top_set_a)->(((eq Prop) (path_arc_complex ((comp_a_complex_real F2) G2))) (path_arc_a G2)))))
% 0.72/0.93  FOF formula (forall (F2:(complex->a)) (G2:(real->complex)), ((real_V1327653935plex_a F2)->(((inj_on_complex_a F2) top_top_set_complex)->(((eq Prop) (path_arc_a ((comp_complex_a_real F2) G2))) (path_arc_complex G2))))) of role axiom named fact_215_arc__linear__image__eq
% 0.72/0.93  A new axiom: (forall (F2:(complex->a)) (G2:(real->complex)), ((real_V1327653935plex_a F2)->(((inj_on_complex_a F2) top_top_set_complex)->(((eq Prop) (path_arc_a ((comp_complex_a_real F2) G2))) (path_arc_complex G2)))))
% 0.72/0.93  FOF formula ((inj_on_complex_a poinca837721858l_of_a) top_top_set_complex) of role axiom named fact_216_real__of__inj
% 0.72/0.93  A new axiom: ((inj_on_complex_a poinca837721858l_of_a) top_top_set_complex)
% 0.72/0.93  FOF formula (((eq set_a) top_top_set_a) (collect_a top_top_a_o)) of role axiom named fact_217_top__set__def
% 0.72/0.93  A new axiom: (((eq set_a) top_top_set_a) (collect_a top_top_a_o))
% 0.72/0.93  FOF formula (((eq set_complex) top_top_set_complex) (collect_complex top_top_complex_o)) of role axiom named fact_218_top__set__def
% 0.72/0.93  A new axiom: (((eq set_complex) top_top_set_complex) (collect_complex top_top_complex_o))
% 0.72/0.93  FOF formula (forall (G2:(real->a)), ((path_arc_a G2)->(path_simple_path_a G2))) of role axiom named fact_219_arc__imp__simple__path
% 0.72/0.93  A new axiom: (forall (G2:(real->a)), ((path_arc_a G2)->(path_simple_path_a G2)))
% 0.72/0.93  FOF formula (forall (G2:(real->complex)), ((path_arc_complex G2)->(path_s36253918omplex G2))) of role axiom named fact_220_arc__imp__simple__path
% 0.78/0.93  A new axiom: (forall (G2:(real->complex)), ((path_arc_complex G2)->(path_s36253918omplex G2)))
% 0.78/0.93  FOF formula (forall (G2:(real->complex)), ((path_arc_complex G2)->(not (((eq complex) (path_p769714271omplex G2)) (path_p797330068omplex G2))))) of role axiom named fact_221_arc__distinct__ends
% 0.78/0.93  A new axiom: (forall (G2:(real->complex)), ((path_arc_complex G2)->(not (((eq complex) (path_p769714271omplex G2)) (path_p797330068omplex G2)))))
% 0.78/0.93  FOF formula (forall (G2:(real->a)), ((path_arc_a G2)->(not (((eq a) (path_pathfinish_a G2)) (path_pathstart_a G2))))) of role axiom named fact_222_arc__distinct__ends
% 0.78/0.93  A new axiom: (forall (G2:(real->a)), ((path_arc_a G2)->(not (((eq a) (path_pathfinish_a G2)) (path_pathstart_a G2)))))
% 0.78/0.93  FOF formula (forall (F2:(a->complex)), ((real_V912435428omplex F2)->(real_V451440129omplex F2))) of role axiom named fact_223_bounded__linear_Oaxioms_I2_J
% 0.78/0.93  A new axiom: (forall (F2:(a->complex)), ((real_V912435428omplex F2)->(real_V451440129omplex F2)))
% 0.78/0.94  FOF formula (forall (F2:(complex->a)), ((real_V762982918plex_a F2)->(real_V301987619plex_a F2))) of role axiom named fact_224_bounded__linear_Oaxioms_I2_J
% 0.78/0.94  A new axiom: (forall (F2:(complex->a)), ((real_V762982918plex_a F2)->(real_V301987619plex_a F2)))
% 0.78/0.94  FOF formula (forall (A2:set_a), ((forall (X4:a), ((member_a X4) A2))->(((eq set_a) top_top_set_a) A2))) of role axiom named fact_225_UNIV__eq__I
% 0.78/0.94  A new axiom: (forall (A2:set_a), ((forall (X4:a), ((member_a X4) A2))->(((eq set_a) top_top_set_a) A2)))
% 0.78/0.94  FOF formula (forall (A2:set_complex), ((forall (X4:complex), ((member_complex X4) A2))->(((eq set_complex) top_top_set_complex) A2))) of role axiom named fact_226_UNIV__eq__I
% 0.78/0.94  A new axiom: (forall (A2:set_complex), ((forall (X4:complex), ((member_complex X4) A2))->(((eq set_complex) top_top_set_complex) A2)))
% 0.78/0.94  FOF formula ((ex a) (fun (X4:a)=> ((member_a X4) top_top_set_a))) of role axiom named fact_227_UNIV__witness
% 0.78/0.94  A new axiom: ((ex a) (fun (X4:a)=> ((member_a X4) top_top_set_a)))
% 0.78/0.94  FOF formula ((ex complex) (fun (X4:complex)=> ((member_complex X4) top_top_set_complex))) of role axiom named fact_228_UNIV__witness
% 0.78/0.94  A new axiom: ((ex complex) (fun (X4:complex)=> ((member_complex X4) top_top_set_complex)))
% 0.78/0.94  FOF formula (forall (G2:(real->a)), ((path_simple_path_a G2)->((not (((eq a) (path_pathfinish_a G2)) (path_pathstart_a G2)))->(path_arc_a G2)))) of role axiom named fact_229_simple__path__imp__arc
% 0.78/0.94  A new axiom: (forall (G2:(real->a)), ((path_simple_path_a G2)->((not (((eq a) (path_pathfinish_a G2)) (path_pathstart_a G2)))->(path_arc_a G2))))
% 0.78/0.94  FOF formula (forall (G2:(real->complex)), ((path_s36253918omplex G2)->((not (((eq complex) (path_p769714271omplex G2)) (path_p797330068omplex G2)))->(path_arc_complex G2)))) of role axiom named fact_230_simple__path__imp__arc
% 0.78/0.94  A new axiom: (forall (G2:(real->complex)), ((path_s36253918omplex G2)->((not (((eq complex) (path_p769714271omplex G2)) (path_p797330068omplex G2)))->(path_arc_complex G2))))
% 0.78/0.94  FOF formula (forall (G2:(real->a)), ((not (((eq a) (path_pathfinish_a G2)) (path_pathstart_a G2)))->(((eq Prop) (path_simple_path_a G2)) (path_arc_a G2)))) of role axiom named fact_231_simple__path__eq__arc
% 0.78/0.94  A new axiom: (forall (G2:(real->a)), ((not (((eq a) (path_pathfinish_a G2)) (path_pathstart_a G2)))->(((eq Prop) (path_simple_path_a G2)) (path_arc_a G2))))
% 0.78/0.94  FOF formula (forall (G2:(real->complex)), ((not (((eq complex) (path_p769714271omplex G2)) (path_p797330068omplex G2)))->(((eq Prop) (path_s36253918omplex G2)) (path_arc_complex G2)))) of role axiom named fact_232_simple__path__eq__arc
% 0.78/0.94  A new axiom: (forall (G2:(real->complex)), ((not (((eq complex) (path_p769714271omplex G2)) (path_p797330068omplex G2)))->(((eq Prop) (path_s36253918omplex G2)) (path_arc_complex G2))))
% 0.78/0.94  FOF formula (forall (G2:(real->a)), ((path_simple_path_a G2)->((or (path_arc_a G2)) (((eq a) (path_pathfinish_a G2)) (path_pathstart_a G2))))) of role axiom named fact_233_simple__path__cases
% 0.78/0.94  A new axiom: (forall (G2:(real->a)), ((path_simple_path_a G2)->((or (path_arc_a G2)) (((eq a) (path_pathfinish_a G2)) (path_pathstart_a G2)))))
% 0.78/0.94  FOF formula (forall (G2:(real->complex)), ((path_s36253918omplex G2)->((or (path_arc_complex G2)) (((eq complex) (path_p769714271omplex G2)) (path_p797330068omplex G2))))) of role axiom named fact_234_simple__path__cases
% 0.78/0.94  A new axiom: (forall (G2:(real->complex)), ((path_s36253918omplex G2)->((or (path_arc_complex G2)) (((eq complex) (path_p769714271omplex G2)) (path_p797330068omplex G2)))))
% 0.78/0.94  FOF formula (((eq ((real->a)->Prop)) path_arc_a) (fun (G:(real->a))=> ((and (path_simple_path_a G)) (not (((eq a) (path_pathfinish_a G)) (path_pathstart_a G)))))) of role axiom named fact_235_arc__simple__path
% 0.78/0.94  A new axiom: (((eq ((real->a)->Prop)) path_arc_a) (fun (G:(real->a))=> ((and (path_simple_path_a G)) (not (((eq a) (path_pathfinish_a G)) (path_pathstart_a G))))))
% 0.78/0.94  FOF formula (((eq ((real->complex)->Prop)) path_arc_complex) (fun (G:(real->complex))=> ((and (path_s36253918omplex G)) (not (((eq complex) (path_p769714271omplex G)) (path_p797330068omplex G)))))) of role axiom named fact_236_arc__simple__path
% 0.78/0.94  A new axiom: (((eq ((real->complex)->Prop)) path_arc_complex) (fun (G:(real->complex))=> ((and (path_s36253918omplex G)) (not (((eq complex) (path_p769714271omplex G)) (path_p797330068omplex G))))))
% 0.78/0.94  FOF formula (forall (G2:(complex->complex)) (F2:(a->complex)) (V:(real->a)), (((eq (real->complex)) ((comp_c595887981x_real G2) ((comp_a_complex_real F2) V))) ((comp_a_complex_real ((comp_c124850173plex_a G2) F2)) V))) of role axiom named fact_237_fun_Omap__comp
% 0.78/0.94  A new axiom: (forall (G2:(complex->complex)) (F2:(a->complex)) (V:(real->a)), (((eq (real->complex)) ((comp_c595887981x_real G2) ((comp_a_complex_real F2) V))) ((comp_a_complex_real ((comp_c124850173plex_a G2) F2)) V)))
% 0.78/0.94  FOF formula (forall (G2:(complex->a)) (F2:(a->complex)) (V:(real->a)), (((eq (real->a)) ((comp_complex_a_real G2) ((comp_a_complex_real F2) V))) ((comp_a_a_real ((comp_complex_a_a G2) F2)) V))) of role axiom named fact_238_fun_Omap__comp
% 0.78/0.94  A new axiom: (forall (G2:(complex->a)) (F2:(a->complex)) (V:(real->a)), (((eq (real->a)) ((comp_complex_a_real G2) ((comp_a_complex_real F2) V))) ((comp_a_a_real ((comp_complex_a_a G2) F2)) V)))
% 0.78/0.94  FOF formula (forall (G2:(complex->complex)) (F2:(a->complex)) (V:(complex->a)), (((eq (complex->complex)) ((comp_c130555887omplex G2) ((comp_a1063143865omplex F2) V))) ((comp_a1063143865omplex ((comp_c124850173plex_a G2) F2)) V))) of role axiom named fact_239_fun_Omap__comp
% 0.78/0.94  A new axiom: (forall (G2:(complex->complex)) (F2:(a->complex)) (V:(complex->a)), (((eq (complex->complex)) ((comp_c130555887omplex G2) ((comp_a1063143865omplex F2) V))) ((comp_a1063143865omplex ((comp_c124850173plex_a G2) F2)) V)))
% 0.78/0.94  FOF formula (forall (G2:(complex->a)) (F2:(a->complex)) (V:(complex->a)), (((eq (complex->a)) ((comp_c274302683omplex G2) ((comp_a1063143865omplex F2) V))) ((comp_a_a_complex ((comp_complex_a_a G2) F2)) V))) of role axiom named fact_240_fun_Omap__comp
% 0.78/0.94  A new axiom: (forall (G2:(complex->a)) (F2:(a->complex)) (V:(complex->a)), (((eq (complex->a)) ((comp_c274302683omplex G2) ((comp_a1063143865omplex F2) V))) ((comp_a_a_complex ((comp_complex_a_a G2) F2)) V)))
% 0.78/0.94  FOF formula (forall (G2:(complex->complex)) (F2:(a->complex)) (V:(a->a)), (((eq (a->complex)) ((comp_c124850173plex_a G2) ((comp_a_complex_a F2) V))) ((comp_a_complex_a ((comp_c124850173plex_a G2) F2)) V))) of role axiom named fact_241_fun_Omap__comp
% 0.78/0.94  A new axiom: (forall (G2:(complex->complex)) (F2:(a->complex)) (V:(a->a)), (((eq (a->complex)) ((comp_c124850173plex_a G2) ((comp_a_complex_a F2) V))) ((comp_a_complex_a ((comp_c124850173plex_a G2) F2)) V)))
% 0.78/0.94  FOF formula (forall (G2:(a->complex)) (F2:(complex->a)) (V:(real->complex)), (((eq (real->complex)) ((comp_a_complex_real G2) ((comp_complex_a_real F2) V))) ((comp_c595887981x_real ((comp_a1063143865omplex G2) F2)) V))) of role axiom named fact_242_fun_Omap__comp
% 0.78/0.94  A new axiom: (forall (G2:(a->complex)) (F2:(complex->a)) (V:(real->complex)), (((eq (real->complex)) ((comp_a_complex_real G2) ((comp_complex_a_real F2) V))) ((comp_c595887981x_real ((comp_a1063143865omplex G2) F2)) V)))
% 0.78/0.95  FOF formula (forall (G2:(a->complex)) (F2:(real->a)) (V:(real->real)), (((eq (real->complex)) ((comp_a_complex_real G2) ((comp_real_a_real F2) V))) ((comp_r701421291x_real ((comp_a_complex_real G2) F2)) V))) of role axiom named fact_243_fun_Omap__comp
% 0.78/0.95  A new axiom: (forall (G2:(a->complex)) (F2:(real->a)) (V:(real->real)), (((eq (real->complex)) ((comp_a_complex_real G2) ((comp_real_a_real F2) V))) ((comp_r701421291x_real ((comp_a_complex_real G2) F2)) V)))
% 0.78/0.95  FOF formula (forall (G2:(a->complex)) (F2:(a->a)) (V:(real->a)), (((eq (real->complex)) ((comp_a_complex_real G2) ((comp_a_a_real F2) V))) ((comp_a_complex_real ((comp_a_complex_a G2) F2)) V))) of role axiom named fact_244_fun_Omap__comp
% 0.78/0.95  A new axiom: (forall (G2:(a->complex)) (F2:(a->a)) (V:(real->a)), (((eq (real->complex)) ((comp_a_complex_real G2) ((comp_a_a_real F2) V))) ((comp_a_complex_real ((comp_a_complex_a G2) F2)) V)))
% 0.78/0.95  FOF formula (forall (G2:(a->complex)) (F2:(real->a)) (V:(complex->real)), (((eq (complex->complex)) ((comp_a1063143865omplex G2) ((comp_real_a_complex F2) V))) ((comp_r667767405omplex ((comp_a_complex_real G2) F2)) V))) of role axiom named fact_245_fun_Omap__comp
% 0.78/0.95  A new axiom: (forall (G2:(a->complex)) (F2:(real->a)) (V:(complex->real)), (((eq (complex->complex)) ((comp_a1063143865omplex G2) ((comp_real_a_complex F2) V))) ((comp_r667767405omplex ((comp_a_complex_real G2) F2)) V)))
% 0.78/0.95  FOF formula (forall (G2:(a->complex)) (F2:(complex->a)) (V:(complex->complex)), (((eq (complex->complex)) ((comp_a1063143865omplex G2) ((comp_c274302683omplex F2) V))) ((comp_c130555887omplex ((comp_a1063143865omplex G2) F2)) V))) of role axiom named fact_246_fun_Omap__comp
% 0.78/0.95  A new axiom: (forall (G2:(a->complex)) (F2:(complex->a)) (V:(complex->complex)), (((eq (complex->complex)) ((comp_a1063143865omplex G2) ((comp_c274302683omplex F2) V))) ((comp_c130555887omplex ((comp_a1063143865omplex G2) F2)) V)))
% 0.78/0.95  FOF formula (((eq (complex->complex)) ((comp_a1063143865omplex poinca1910941596x_of_a) poinca837721858l_of_a)) id_complex) of role axiom named fact_247_complex__of__real__of
% 0.78/0.95  A new axiom: (((eq (complex->complex)) ((comp_a1063143865omplex poinca1910941596x_of_a) poinca837721858l_of_a)) id_complex)
% 0.78/0.95  FOF formula (((eq (a->a)) ((comp_complex_a_a poinca837721858l_of_a) poinca1910941596x_of_a)) id_a) of role axiom named fact_248_real__of__complex__of
% 0.78/0.95  A new axiom: (((eq (a->a)) ((comp_complex_a_a poinca837721858l_of_a) poinca1910941596x_of_a)) id_a)
% 0.78/0.95  FOF formula (((bij_betw_complex_a poinca837721858l_of_a) top_top_set_complex) top_top_set_a) of role axiom named fact_249_real__of__bij
% 0.78/0.95  A new axiom: (((bij_betw_complex_a poinca837721858l_of_a) top_top_set_complex) top_top_set_a)
% 0.78/0.95  FOF formula (((bij_betw_a_complex poinca1910941596x_of_a) top_top_set_a) top_top_set_complex) of role axiom named fact_250_complex__of__bij
% 0.78/0.95  A new axiom: (((bij_betw_a_complex poinca1910941596x_of_a) top_top_set_a) top_top_set_complex)
% 0.78/0.95  FOF formula (forall (F2:(a->a)), ((real_V202220639ar_a_a F2)->(((inj_on_a_a F2) top_top_set_a)->((ex (a->a)) (fun (G4:(a->a))=> ((and (real_V202220639ar_a_a G4)) (((eq (a->a)) ((comp_a_a_a G4) F2)) id_a))))))) of role axiom named fact_251_linear__injective__left__inverse
% 0.78/0.95  A new axiom: (forall (F2:(a->a)), ((real_V202220639ar_a_a F2)->(((inj_on_a_a F2) top_top_set_a)->((ex (a->a)) (fun (G4:(a->a))=> ((and (real_V202220639ar_a_a G4)) (((eq (a->a)) ((comp_a_a_a G4) F2)) id_a)))))))
% 0.78/0.95  FOF formula (forall (F2:(a->complex)), ((real_V1477106445omplex F2)->(((inj_on_a_complex F2) top_top_set_a)->((ex (complex->a)) (fun (G4:(complex->a))=> ((and (real_V1327653935plex_a G4)) (((eq (a->a)) ((comp_complex_a_a G4) F2)) id_a))))))) of role axiom named fact_252_linear__injective__left__inverse
% 0.78/0.95  A new axiom: (forall (F2:(a->complex)), ((real_V1477106445omplex F2)->(((inj_on_a_complex F2) top_top_set_a)->((ex (complex->a)) (fun (G4:(complex->a))=> ((and (real_V1327653935plex_a G4)) (((eq (a->a)) ((comp_complex_a_a G4) F2)) id_a)))))))
% 0.78/0.95  FOF formula (forall (F2:(complex->a)), ((real_V1327653935plex_a F2)->(((inj_on_complex_a F2) top_top_set_complex)->((ex (a->complex)) (fun (G4:(a->complex))=> ((and (real_V1477106445omplex G4)) (((eq (complex->complex)) ((comp_a1063143865omplex G4) F2)) id_complex))))))) of role axiom named fact_253_linear__injective__left__inverse
% 0.81/0.96  A new axiom: (forall (F2:(complex->a)), ((real_V1327653935plex_a F2)->(((inj_on_complex_a F2) top_top_set_complex)->((ex (a->complex)) (fun (G4:(a->complex))=> ((and (real_V1477106445omplex G4)) (((eq (complex->complex)) ((comp_a1063143865omplex G4) F2)) id_complex)))))))
% 0.81/0.96  FOF formula (forall (F2:(real->a)) (G2:(real->real)), ((real_V779700657real_a F2)->(((inj_on_real_a F2) top_top_set_real)->(((eq Prop) (path_path_a ((comp_real_a_real F2) G2))) (path_path_real G2))))) of role axiom named fact_254_path__linear__image__eq
% 0.81/0.96  A new axiom: (forall (F2:(real->a)) (G2:(real->real)), ((real_V779700657real_a F2)->(((inj_on_real_a F2) top_top_set_real)->(((eq Prop) (path_path_a ((comp_real_a_real F2) G2))) (path_path_real G2)))))
% 0.81/0.96  FOF formula (forall (F2:(a->a)) (G2:(real->a)), ((real_V202220639ar_a_a F2)->(((inj_on_a_a F2) top_top_set_a)->(((eq Prop) (path_path_a ((comp_a_a_real F2) G2))) (path_path_a G2))))) of role axiom named fact_255_path__linear__image__eq
% 0.81/0.96  A new axiom: (forall (F2:(a->a)) (G2:(real->a)), ((real_V202220639ar_a_a F2)->(((inj_on_a_a F2) top_top_set_a)->(((eq Prop) (path_path_a ((comp_a_a_real F2) G2))) (path_path_a G2)))))
% 0.81/0.96  FOF formula (forall (F2:(complex->complex)) (G2:(real->complex)), ((real_V670066493omplex F2)->(((inj_on94911183omplex F2) top_top_set_complex)->(((eq Prop) (path_path_complex ((comp_c595887981x_real F2) G2))) (path_path_complex G2))))) of role axiom named fact_256_path__linear__image__eq
% 0.81/0.96  A new axiom: (forall (F2:(complex->complex)) (G2:(real->complex)), ((real_V670066493omplex F2)->(((inj_on94911183omplex F2) top_top_set_complex)->(((eq Prop) (path_path_complex ((comp_c595887981x_real F2) G2))) (path_path_complex G2)))))
% 0.81/0.96  FOF formula (forall (F2:(a->complex)) (G2:(real->a)), ((real_V1477106445omplex F2)->(((inj_on_a_complex F2) top_top_set_a)->(((eq Prop) (path_path_complex ((comp_a_complex_real F2) G2))) (path_path_a G2))))) of role axiom named fact_257_path__linear__image__eq
% 0.81/0.96  A new axiom: (forall (F2:(a->complex)) (G2:(real->a)), ((real_V1477106445omplex F2)->(((inj_on_a_complex F2) top_top_set_a)->(((eq Prop) (path_path_complex ((comp_a_complex_real F2) G2))) (path_path_a G2)))))
% 0.81/0.96  FOF formula (forall (F2:(complex->a)) (G2:(real->complex)), ((real_V1327653935plex_a F2)->(((inj_on_complex_a F2) top_top_set_complex)->(((eq Prop) (path_path_a ((comp_complex_a_real F2) G2))) (path_path_complex G2))))) of role axiom named fact_258_path__linear__image__eq
% 0.81/0.96  A new axiom: (forall (F2:(complex->a)) (G2:(real->complex)), ((real_V1327653935plex_a F2)->(((inj_on_complex_a F2) top_top_set_complex)->(((eq Prop) (path_path_a ((comp_complex_a_real F2) G2))) (path_path_complex G2)))))
% 0.81/0.96  FOF formula (forall (F2:(a->complex)), ((real_V1477106445omplex F2)->(((eq Prop) ((inj_on_a_complex F2) top_top_set_a)) (forall (X:a), ((((eq complex) (F2 X)) zero_zero_complex)->(((eq a) X) zero_zero_a)))))) of role axiom named fact_259_linear__inj__iff__eq__0
% 0.81/0.96  A new axiom: (forall (F2:(a->complex)), ((real_V1477106445omplex F2)->(((eq Prop) ((inj_on_a_complex F2) top_top_set_a)) (forall (X:a), ((((eq complex) (F2 X)) zero_zero_complex)->(((eq a) X) zero_zero_a))))))
% 0.81/0.96  FOF formula (forall (F2:(complex->a)), ((real_V1327653935plex_a F2)->(((eq Prop) ((inj_on_complex_a F2) top_top_set_complex)) (forall (X:complex), ((((eq a) (F2 X)) zero_zero_a)->(((eq complex) X) zero_zero_complex)))))) of role axiom named fact_260_linear__inj__iff__eq__0
% 0.81/0.96  A new axiom: (forall (F2:(complex->a)), ((real_V1327653935plex_a F2)->(((eq Prop) ((inj_on_complex_a F2) top_top_set_complex)) (forall (X:complex), ((((eq a) (F2 X)) zero_zero_a)->(((eq complex) X) zero_zero_complex))))))
% 0.81/0.96  FOF formula (forall (M:(real->a)) (G2:(real->real)) (X2:real) (N:(a->a)) (H:(real->a)) (F2:(a->complex)), ((((eq a) (M (G2 X2))) (N (H X2)))->(((eq complex) (((comp_r701421291x_real ((comp_a_complex_real F2) M)) G2) X2)) (((comp_a_complex_real ((comp_a_complex_a F2) N)) H) X2)))) of role axiom named fact_261_type__copy__map__cong0
% 0.81/0.97  A new axiom: (forall (M:(real->a)) (G2:(real->real)) (X2:real) (N:(a->a)) (H:(real->a)) (F2:(a->complex)), ((((eq a) (M (G2 X2))) (N (H X2)))->(((eq complex) (((comp_r701421291x_real ((comp_a_complex_real F2) M)) G2) X2)) (((comp_a_complex_real ((comp_a_complex_a F2) N)) H) X2))))
% 0.81/0.97  FOF formula (forall (M:(real->a)) (G2:(complex->real)) (X2:complex) (N:(a->a)) (H:(complex->a)) (F2:(a->complex)), ((((eq a) (M (G2 X2))) (N (H X2)))->(((eq complex) (((comp_r667767405omplex ((comp_a_complex_real F2) M)) G2) X2)) (((comp_a1063143865omplex ((comp_a_complex_a F2) N)) H) X2)))) of role axiom named fact_262_type__copy__map__cong0
% 0.81/0.97  A new axiom: (forall (M:(real->a)) (G2:(complex->real)) (X2:complex) (N:(a->a)) (H:(complex->a)) (F2:(a->complex)), ((((eq a) (M (G2 X2))) (N (H X2)))->(((eq complex) (((comp_r667767405omplex ((comp_a_complex_real F2) M)) G2) X2)) (((comp_a1063143865omplex ((comp_a_complex_a F2) N)) H) X2))))
% 0.81/0.97  FOF formula (forall (M:(real->a)) (G2:(a->real)) (X2:a) (N:(a->a)) (H:(a->a)) (F2:(a->complex)), ((((eq a) (M (G2 X2))) (N (H X2)))->(((eq complex) (((comp_real_complex_a ((comp_a_complex_real F2) M)) G2) X2)) (((comp_a_complex_a ((comp_a_complex_a F2) N)) H) X2)))) of role axiom named fact_263_type__copy__map__cong0
% 0.81/0.97  A new axiom: (forall (M:(real->a)) (G2:(a->real)) (X2:a) (N:(a->a)) (H:(a->a)) (F2:(a->complex)), ((((eq a) (M (G2 X2))) (N (H X2)))->(((eq complex) (((comp_real_complex_a ((comp_a_complex_real F2) M)) G2) X2)) (((comp_a_complex_a ((comp_a_complex_a F2) N)) H) X2))))
% 0.81/0.97  FOF formula (forall (M:(complex->a)) (G2:(real->complex)) (X2:real) (N:(a->a)) (H:(real->a)) (F2:(a->complex)), ((((eq a) (M (G2 X2))) (N (H X2)))->(((eq complex) (((comp_c595887981x_real ((comp_a1063143865omplex F2) M)) G2) X2)) (((comp_a_complex_real ((comp_a_complex_a F2) N)) H) X2)))) of role axiom named fact_264_type__copy__map__cong0
% 0.81/0.97  A new axiom: (forall (M:(complex->a)) (G2:(real->complex)) (X2:real) (N:(a->a)) (H:(real->a)) (F2:(a->complex)), ((((eq a) (M (G2 X2))) (N (H X2)))->(((eq complex) (((comp_c595887981x_real ((comp_a1063143865omplex F2) M)) G2) X2)) (((comp_a_complex_real ((comp_a_complex_a F2) N)) H) X2))))
% 0.81/0.97  FOF formula (forall (M:(complex->a)) (G2:(complex->complex)) (X2:complex) (N:(a->a)) (H:(complex->a)) (F2:(a->complex)), ((((eq a) (M (G2 X2))) (N (H X2)))->(((eq complex) (((comp_c130555887omplex ((comp_a1063143865omplex F2) M)) G2) X2)) (((comp_a1063143865omplex ((comp_a_complex_a F2) N)) H) X2)))) of role axiom named fact_265_type__copy__map__cong0
% 0.81/0.97  A new axiom: (forall (M:(complex->a)) (G2:(complex->complex)) (X2:complex) (N:(a->a)) (H:(complex->a)) (F2:(a->complex)), ((((eq a) (M (G2 X2))) (N (H X2)))->(((eq complex) (((comp_c130555887omplex ((comp_a1063143865omplex F2) M)) G2) X2)) (((comp_a1063143865omplex ((comp_a_complex_a F2) N)) H) X2))))
% 0.81/0.97  FOF formula (forall (M:(complex->a)) (G2:(a->complex)) (X2:a) (N:(a->a)) (H:(a->a)) (F2:(a->complex)), ((((eq a) (M (G2 X2))) (N (H X2)))->(((eq complex) (((comp_c124850173plex_a ((comp_a1063143865omplex F2) M)) G2) X2)) (((comp_a_complex_a ((comp_a_complex_a F2) N)) H) X2)))) of role axiom named fact_266_type__copy__map__cong0
% 0.81/0.97  A new axiom: (forall (M:(complex->a)) (G2:(a->complex)) (X2:a) (N:(a->a)) (H:(a->a)) (F2:(a->complex)), ((((eq a) (M (G2 X2))) (N (H X2)))->(((eq complex) (((comp_c124850173plex_a ((comp_a1063143865omplex F2) M)) G2) X2)) (((comp_a_complex_a ((comp_a_complex_a F2) N)) H) X2))))
% 0.81/0.97  FOF formula (forall (M:(real->real)) (G2:(a->real)) (X2:a) (N:(complex->real)) (H:(a->complex)) (F2:(real->a)), ((((eq real) (M (G2 X2))) (N (H X2)))->(((eq a) (((comp_real_a_a ((comp_real_a_real F2) M)) G2) X2)) (((comp_complex_a_a ((comp_real_a_complex F2) N)) H) X2)))) of role axiom named fact_267_type__copy__map__cong0
% 0.81/0.97  A new axiom: (forall (M:(real->real)) (G2:(a->real)) (X2:a) (N:(complex->real)) (H:(a->complex)) (F2:(real->a)), ((((eq real) (M (G2 X2))) (N (H X2)))->(((eq a) (((comp_real_a_a ((comp_real_a_real F2) M)) G2) X2)) (((comp_complex_a_a ((comp_real_a_complex F2) N)) H) X2))))
% 0.81/0.97  FOF formula (forall (M:(real->real)) (G2:(complex->real)) (X2:complex) (N:(a->real)) (H:(complex->a)) (F2:(real->a)), ((((eq real) (M (G2 X2))) (N (H X2)))->(((eq a) (((comp_real_a_complex ((comp_real_a_real F2) M)) G2) X2)) (((comp_a_a_complex ((comp_real_a_a F2) N)) H) X2)))) of role axiom named fact_268_type__copy__map__cong0
% 0.81/0.98  A new axiom: (forall (M:(real->real)) (G2:(complex->real)) (X2:complex) (N:(a->real)) (H:(complex->a)) (F2:(real->a)), ((((eq real) (M (G2 X2))) (N (H X2)))->(((eq a) (((comp_real_a_complex ((comp_real_a_real F2) M)) G2) X2)) (((comp_a_a_complex ((comp_real_a_a F2) N)) H) X2))))
% 0.81/0.98  FOF formula (forall (M:(real->real)) (G2:(a->real)) (X2:a) (N:(a->real)) (H:(a->a)) (F2:(real->a)), ((((eq real) (M (G2 X2))) (N (H X2)))->(((eq a) (((comp_real_a_a ((comp_real_a_real F2) M)) G2) X2)) (((comp_a_a_a ((comp_real_a_a F2) N)) H) X2)))) of role axiom named fact_269_type__copy__map__cong0
% 0.81/0.98  A new axiom: (forall (M:(real->real)) (G2:(a->real)) (X2:a) (N:(a->real)) (H:(a->a)) (F2:(real->a)), ((((eq real) (M (G2 X2))) (N (H X2)))->(((eq a) (((comp_real_a_a ((comp_real_a_real F2) M)) G2) X2)) (((comp_a_a_a ((comp_real_a_a F2) N)) H) X2))))
% 0.81/0.98  FOF formula (forall (M:(complex->a)) (G2:(real->complex)) (X2:real) (N:(real->a)) (H:(real->real)) (F2:(a->a)), ((((eq a) (M (G2 X2))) (N (H X2)))->(((eq a) (((comp_complex_a_real ((comp_a_a_complex F2) M)) G2) X2)) (((comp_real_a_real ((comp_a_a_real F2) N)) H) X2)))) of role axiom named fact_270_type__copy__map__cong0
% 0.81/0.98  A new axiom: (forall (M:(complex->a)) (G2:(real->complex)) (X2:real) (N:(real->a)) (H:(real->real)) (F2:(a->a)), ((((eq a) (M (G2 X2))) (N (H X2)))->(((eq a) (((comp_complex_a_real ((comp_a_a_complex F2) M)) G2) X2)) (((comp_real_a_real ((comp_a_a_real F2) N)) H) X2))))
% 0.81/0.98  FOF formula (((eq (complex->complex)) id_complex) (fun (X:complex)=> X)) of role axiom named fact_271_id__apply
% 0.81/0.98  A new axiom: (((eq (complex->complex)) id_complex) (fun (X:complex)=> X))
% 0.81/0.98  FOF formula (((eq (a->a)) id_a) (fun (X:a)=> X)) of role axiom named fact_272_id__apply
% 0.81/0.98  A new axiom: (((eq (a->a)) id_a) (fun (X:a)=> X))
% 0.81/0.98  FOF formula (forall (A:complex) (B:complex), (path_path_complex ((path_rectpath A) B))) of role axiom named fact_273_path__rectpath
% 0.81/0.98  A new axiom: (forall (A:complex) (B:complex), (path_path_complex ((path_rectpath A) B)))
% 0.81/0.98  FOF formula (forall (F2:(real->a)), (((eq (real->a)) ((comp_real_a_real F2) id_real)) F2)) of role axiom named fact_274_comp__id
% 0.81/0.98  A new axiom: (forall (F2:(real->a)), (((eq (real->a)) ((comp_real_a_real F2) id_real)) F2))
% 0.81/0.98  FOF formula (forall (F2:(a->complex)), (((eq (a->complex)) ((comp_a_complex_a F2) id_a)) F2)) of role axiom named fact_275_comp__id
% 0.81/0.98  A new axiom: (forall (F2:(a->complex)), (((eq (a->complex)) ((comp_a_complex_a F2) id_a)) F2))
% 0.81/0.98  FOF formula (forall (F2:(a->a)), (((eq (a->a)) ((comp_a_a_a F2) id_a)) F2)) of role axiom named fact_276_comp__id
% 0.81/0.98  A new axiom: (forall (F2:(a->a)), (((eq (a->a)) ((comp_a_a_a F2) id_a)) F2))
% 0.81/0.98  FOF formula (forall (G2:(complex->a)), (((eq (complex->a)) ((comp_a_a_complex id_a) G2)) G2)) of role axiom named fact_277_id__comp
% 0.81/0.98  A new axiom: (forall (G2:(complex->a)), (((eq (complex->a)) ((comp_a_a_complex id_a) G2)) G2))
% 0.81/0.98  FOF formula (forall (G2:(real->a)), (((eq (real->a)) ((comp_a_a_real id_a) G2)) G2)) of role axiom named fact_278_id__comp
% 0.81/0.98  A new axiom: (forall (G2:(real->a)), (((eq (real->a)) ((comp_a_a_real id_a) G2)) G2))
% 0.81/0.98  FOF formula (forall (G2:(a->a)), (((eq (a->a)) ((comp_a_a_a id_a) G2)) G2)) of role axiom named fact_279_id__comp
% 0.81/0.98  A new axiom: (forall (G2:(a->a)), (((eq (a->a)) ((comp_a_a_a id_a) G2)) G2))
% 0.81/0.98  FOF formula (forall (T:(complex->a)), (((eq (complex->a)) ((comp_a_a_complex id_a) T)) T)) of role axiom named fact_280_fun_Omap__id
% 0.81/0.98  A new axiom: (forall (T:(complex->a)), (((eq (complex->a)) ((comp_a_a_complex id_a) T)) T))
% 0.81/0.98  FOF formula (forall (T:(real->a)), (((eq (real->a)) ((comp_a_a_real id_a) T)) T)) of role axiom named fact_281_fun_Omap__id
% 0.81/0.98  A new axiom: (forall (T:(real->a)), (((eq (real->a)) ((comp_a_a_real id_a) T)) T))
% 0.81/0.98  FOF formula (forall (T:(a->a)), (((eq (a->a)) ((comp_a_a_a id_a) T)) T)) of role axiom named fact_282_fun_Omap__id
% 0.81/0.98  A new axiom: (forall (T:(a->a)), (((eq (a->a)) ((comp_a_a_a id_a) T)) T))
% 0.81/0.99  FOF formula (forall (A2:set_complex), (((bij_be209634132omplex id_complex) A2) A2)) of role axiom named fact_283_bij__betw__id
% 0.81/0.99  A new axiom: (forall (A2:set_complex), (((bij_be209634132omplex id_complex) A2) A2))
% 0.81/0.99  FOF formula (forall (A2:set_a), (((bij_betw_a_a id_a) A2) A2)) of role axiom named fact_284_bij__betw__id
% 0.81/0.99  A new axiom: (forall (A2:set_a), (((bij_betw_a_a id_a) A2) A2))
% 0.81/0.99  FOF formula (((bij_betw_a_a id_a) top_top_set_a) top_top_set_a) of role axiom named fact_285_bij__id
% 0.81/0.99  A new axiom: (((bij_betw_a_a id_a) top_top_set_a) top_top_set_a)
% 0.81/0.99  FOF formula (((bij_be209634132omplex id_complex) top_top_set_complex) top_top_set_complex) of role axiom named fact_286_bij__id
% 0.81/0.99  A new axiom: (((bij_be209634132omplex id_complex) top_top_set_complex) top_top_set_complex)
% 0.81/0.99  FOF formula (((eq (a->(a->Prop))) (fun (Y4:a) (Z:a)=> (((eq a) Y4) Z))) (fun (A6:a) (B2:a)=> ((ex a) (fun (Z2:a)=> ((and ((and ((member_a Z2) top_top_set_a)) (((eq a) (id_a Z2)) A6))) (((eq a) (id_a Z2)) B2)))))) of role axiom named fact_287_DEADID_Oin__rel
% 0.81/0.99  A new axiom: (((eq (a->(a->Prop))) (fun (Y4:a) (Z:a)=> (((eq a) Y4) Z))) (fun (A6:a) (B2:a)=> ((ex a) (fun (Z2:a)=> ((and ((and ((member_a Z2) top_top_set_a)) (((eq a) (id_a Z2)) A6))) (((eq a) (id_a Z2)) B2))))))
% 0.81/0.99  FOF formula (((eq (complex->(complex->Prop))) (fun (Y4:complex) (Z:complex)=> (((eq complex) Y4) Z))) (fun (A6:complex) (B2:complex)=> ((ex complex) (fun (Z2:complex)=> ((and ((and ((member_complex Z2) top_top_set_complex)) (((eq complex) (id_complex Z2)) A6))) (((eq complex) (id_complex Z2)) B2)))))) of role axiom named fact_288_DEADID_Oin__rel
% 0.81/0.99  A new axiom: (((eq (complex->(complex->Prop))) (fun (Y4:complex) (Z:complex)=> (((eq complex) Y4) Z))) (fun (A6:complex) (B2:complex)=> ((ex complex) (fun (Z2:complex)=> ((and ((and ((member_complex Z2) top_top_set_complex)) (((eq complex) (id_complex Z2)) A6))) (((eq complex) (id_complex Z2)) B2))))))
% 0.81/0.99  FOF formula (((eq ((complex->a)->(complex->a))) (comp_a_a_complex id_a)) id_complex_a) of role axiom named fact_289_fun_Omap__id0
% 0.81/0.99  A new axiom: (((eq ((complex->a)->(complex->a))) (comp_a_a_complex id_a)) id_complex_a)
% 0.81/0.99  FOF formula (((eq ((real->a)->(real->a))) (comp_a_a_real id_a)) id_real_a) of role axiom named fact_290_fun_Omap__id0
% 0.81/0.99  A new axiom: (((eq ((real->a)->(real->a))) (comp_a_a_real id_a)) id_real_a)
% 0.81/0.99  FOF formula (((eq ((a->a)->(a->a))) (comp_a_a_a id_a)) id_a_a) of role axiom named fact_291_fun_Omap__id0
% 0.81/0.99  A new axiom: (((eq ((a->a)->(a->a))) (comp_a_a_a id_a)) id_a_a)
% 0.81/0.99  FOF formula (((eq (complex->complex)) id_complex) (fun (X:complex)=> X)) of role axiom named fact_292_id__def
% 0.81/0.99  A new axiom: (((eq (complex->complex)) id_complex) (fun (X:complex)=> X))
% 0.81/0.99  FOF formula (((eq (a->a)) id_a) (fun (X:a)=> X)) of role axiom named fact_293_id__def
% 0.81/0.99  A new axiom: (((eq (a->a)) id_a) (fun (X:a)=> X))
% 0.81/0.99  FOF formula (forall (F2:(complex->a)) (A2:set_complex) (B3:set_a), ((((bij_betw_complex_a F2) A2) B3)->(forall (X5:complex), (((member_complex X5) A2)->((member_a (F2 X5)) B3))))) of role axiom named fact_294_bij__betwE
% 0.81/0.99  A new axiom: (forall (F2:(complex->a)) (A2:set_complex) (B3:set_a), ((((bij_betw_complex_a F2) A2) B3)->(forall (X5:complex), (((member_complex X5) A2)->((member_a (F2 X5)) B3)))))
% 0.81/0.99  FOF formula (forall (F2:(a->complex)) (A2:set_a) (B3:set_complex), ((((bij_betw_a_complex F2) A2) B3)->(forall (X5:a), (((member_a X5) A2)->((member_complex (F2 X5)) B3))))) of role axiom named fact_295_bij__betwE
% 0.81/0.99  A new axiom: (forall (F2:(a->complex)) (A2:set_a) (B3:set_complex), ((((bij_betw_a_complex F2) A2) B3)->(forall (X5:a), (((member_a X5) A2)->((member_complex (F2 X5)) B3)))))
% 0.81/0.99  FOF formula (forall (F2:(complex->complex)), (((eq Prop) (forall (X:complex), (((eq complex) (F2 X)) X))) (((eq (complex->complex)) F2) id_complex))) of role axiom named fact_296_eq__id__iff
% 0.81/0.99  A new axiom: (forall (F2:(complex->complex)), (((eq Prop) (forall (X:complex), (((eq complex) (F2 X)) X))) (((eq (complex->complex)) F2) id_complex)))
% 0.81/0.99  FOF formula (forall (F2:(a->a)), (((eq Prop) (forall (X:a), (((eq a) (F2 X)) X))) (((eq (a->a)) F2) id_a))) of role axiom named fact_297_eq__id__iff
% 0.81/0.99  A new axiom: (forall (F2:(a->a)), (((eq Prop) (forall (X:a), (((eq a) (F2 X)) X))) (((eq (a->a)) F2) id_a)))
% 0.81/1.00  FOF formula (forall (F2:(complex->a)) (A2:set_complex) (B3:set_a), ((((bij_betw_complex_a F2) A2) B3)->((ex (a->complex)) (fun (G4:(a->complex))=> (((bij_betw_a_complex G4) B3) A2))))) of role axiom named fact_298_bij__betw__inv
% 0.81/1.00  A new axiom: (forall (F2:(complex->a)) (A2:set_complex) (B3:set_a), ((((bij_betw_complex_a F2) A2) B3)->((ex (a->complex)) (fun (G4:(a->complex))=> (((bij_betw_a_complex G4) B3) A2)))))
% 0.81/1.00  FOF formula (forall (F2:(a->complex)) (A2:set_a) (B3:set_complex), ((((bij_betw_a_complex F2) A2) B3)->((ex (complex->a)) (fun (G4:(complex->a))=> (((bij_betw_complex_a G4) B3) A2))))) of role axiom named fact_299_bij__betw__inv
% 0.81/1.00  A new axiom: (forall (F2:(a->complex)) (A2:set_a) (B3:set_complex), ((((bij_betw_a_complex F2) A2) B3)->((ex (complex->a)) (fun (G4:(complex->a))=> (((bij_betw_complex_a G4) B3) A2)))))
% 0.81/1.00  FOF formula (forall (A2:set_complex) (F2:(complex->a)) (G2:(complex->a)) (A7:set_a), ((forall (A5:complex), (((member_complex A5) A2)->(((eq a) (F2 A5)) (G2 A5))))->(((eq Prop) (((bij_betw_complex_a F2) A2) A7)) (((bij_betw_complex_a G2) A2) A7)))) of role axiom named fact_300_bij__betw__cong
% 0.81/1.00  A new axiom: (forall (A2:set_complex) (F2:(complex->a)) (G2:(complex->a)) (A7:set_a), ((forall (A5:complex), (((member_complex A5) A2)->(((eq a) (F2 A5)) (G2 A5))))->(((eq Prop) (((bij_betw_complex_a F2) A2) A7)) (((bij_betw_complex_a G2) A2) A7))))
% 0.81/1.00  FOF formula (forall (A2:set_a) (F2:(a->complex)) (G2:(a->complex)) (A7:set_complex), ((forall (A5:a), (((member_a A5) A2)->(((eq complex) (F2 A5)) (G2 A5))))->(((eq Prop) (((bij_betw_a_complex F2) A2) A7)) (((bij_betw_a_complex G2) A2) A7)))) of role axiom named fact_301_bij__betw__cong
% 0.81/1.00  A new axiom: (forall (A2:set_a) (F2:(a->complex)) (G2:(a->complex)) (A7:set_complex), ((forall (A5:a), (((member_a A5) A2)->(((eq complex) (F2 A5)) (G2 A5))))->(((eq Prop) (((bij_betw_a_complex F2) A2) A7)) (((bij_betw_a_complex G2) A2) A7))))
% 0.81/1.00  FOF formula (forall (F2:(complex->a)) (A2:set_complex) (B3:set_a) (A:complex), ((((bij_betw_complex_a F2) A2) B3)->(((member_complex A) A2)->((member_a (F2 A)) B3)))) of role axiom named fact_302_bij__betw__apply
% 0.81/1.00  A new axiom: (forall (F2:(complex->a)) (A2:set_complex) (B3:set_a) (A:complex), ((((bij_betw_complex_a F2) A2) B3)->(((member_complex A) A2)->((member_a (F2 A)) B3))))
% 0.81/1.00  FOF formula (forall (F2:(a->complex)) (A2:set_a) (B3:set_complex) (A:a), ((((bij_betw_a_complex F2) A2) B3)->(((member_a A) A2)->((member_complex (F2 A)) B3)))) of role axiom named fact_303_bij__betw__apply
% 0.81/1.00  A new axiom: (forall (F2:(a->complex)) (A2:set_a) (B3:set_complex) (A:a), ((((bij_betw_a_complex F2) A2) B3)->(((member_a A) A2)->((member_complex (F2 A)) B3))))
% 0.81/1.00  FOF formula (forall (A2:set_complex) (B3:set_complex), (((eq Prop) (((bij_be209634132omplex id_complex) A2) B3)) (((eq set_complex) A2) B3))) of role axiom named fact_304_bij__betw__id__iff
% 0.81/1.00  A new axiom: (forall (A2:set_complex) (B3:set_complex), (((eq Prop) (((bij_be209634132omplex id_complex) A2) B3)) (((eq set_complex) A2) B3)))
% 0.81/1.00  FOF formula (forall (A2:set_a) (B3:set_a), (((eq Prop) (((bij_betw_a_a id_a) A2) B3)) (((eq set_a) A2) B3))) of role axiom named fact_305_bij__betw__id__iff
% 0.81/1.00  A new axiom: (forall (A2:set_a) (B3:set_a), (((eq Prop) (((bij_betw_a_a id_a) A2) B3)) (((eq set_a) A2) B3)))
% 0.81/1.00  FOF formula (((eq ((complex->a)->(set_complex->(set_a->Prop)))) bij_betw_complex_a) (fun (F:(complex->a)) (A4:set_complex) (B4:set_a)=> ((ex (a->complex)) (fun (G:(a->complex))=> ((and (forall (X:complex), (((member_complex X) A4)->((and ((member_a (F X)) B4)) (((eq complex) (G (F X))) X))))) (forall (X:a), (((member_a X) B4)->((and ((member_complex (G X)) A4)) (((eq a) (F (G X))) X))))))))) of role axiom named fact_306_bij__betw__iff__bijections
% 0.81/1.00  A new axiom: (((eq ((complex->a)->(set_complex->(set_a->Prop)))) bij_betw_complex_a) (fun (F:(complex->a)) (A4:set_complex) (B4:set_a)=> ((ex (a->complex)) (fun (G:(a->complex))=> ((and (forall (X:complex), (((member_complex X) A4)->((and ((member_a (F X)) B4)) (((eq complex) (G (F X))) X))))) (forall (X:a), (((member_a X) B4)->((and ((member_complex (G X)) A4)) (((eq a) (F (G X))) X)))))))))
% 0.81/1.01  FOF formula (((eq ((a->complex)->(set_a->(set_complex->Prop)))) bij_betw_a_complex) (fun (F:(a->complex)) (A4:set_a) (B4:set_complex)=> ((ex (complex->a)) (fun (G:(complex->a))=> ((and (forall (X:a), (((member_a X) A4)->((and ((member_complex (F X)) B4)) (((eq a) (G (F X))) X))))) (forall (X:complex), (((member_complex X) B4)->((and ((member_a (G X)) A4)) (((eq complex) (F (G X))) X))))))))) of role axiom named fact_307_bij__betw__iff__bijections
% 0.81/1.01  A new axiom: (((eq ((a->complex)->(set_a->(set_complex->Prop)))) bij_betw_a_complex) (fun (F:(a->complex)) (A4:set_a) (B4:set_complex)=> ((ex (complex->a)) (fun (G:(complex->a))=> ((and (forall (X:a), (((member_a X) A4)->((and ((member_complex (F X)) B4)) (((eq a) (G (F X))) X))))) (forall (X:complex), (((member_complex X) B4)->((and ((member_a (G X)) A4)) (((eq complex) (F (G X))) X)))))))))
% 0.81/1.01  FOF formula (forall (G2:(a->a)) (F2:(a->a)), ((((eq (a->a)) ((comp_a_a_a G2) F2)) id_a)->((((eq (a->a)) ((comp_a_a_a F2) G2)) id_a)->(((bij_betw_a_a F2) top_top_set_a) top_top_set_a)))) of role axiom named fact_308_o__bij
% 0.81/1.01  A new axiom: (forall (G2:(a->a)) (F2:(a->a)), ((((eq (a->a)) ((comp_a_a_a G2) F2)) id_a)->((((eq (a->a)) ((comp_a_a_a F2) G2)) id_a)->(((bij_betw_a_a F2) top_top_set_a) top_top_set_a))))
% 0.81/1.01  FOF formula (forall (G2:(complex->a)) (F2:(a->complex)), ((((eq (a->a)) ((comp_complex_a_a G2) F2)) id_a)->((((eq (complex->complex)) ((comp_a1063143865omplex F2) G2)) id_complex)->(((bij_betw_a_complex F2) top_top_set_a) top_top_set_complex)))) of role axiom named fact_309_o__bij
% 0.81/1.01  A new axiom: (forall (G2:(complex->a)) (F2:(a->complex)), ((((eq (a->a)) ((comp_complex_a_a G2) F2)) id_a)->((((eq (complex->complex)) ((comp_a1063143865omplex F2) G2)) id_complex)->(((bij_betw_a_complex F2) top_top_set_a) top_top_set_complex))))
% 0.81/1.01  FOF formula (forall (G2:(a->complex)) (F2:(complex->a)), ((((eq (complex->complex)) ((comp_a1063143865omplex G2) F2)) id_complex)->((((eq (a->a)) ((comp_complex_a_a F2) G2)) id_a)->(((bij_betw_complex_a F2) top_top_set_complex) top_top_set_a)))) of role axiom named fact_310_o__bij
% 0.81/1.01  A new axiom: (forall (G2:(a->complex)) (F2:(complex->a)), ((((eq (complex->complex)) ((comp_a1063143865omplex G2) F2)) id_complex)->((((eq (a->a)) ((comp_complex_a_a F2) G2)) id_a)->(((bij_betw_complex_a F2) top_top_set_complex) top_top_set_a))))
% 0.81/1.01  FOF formula (forall (G2:(complex->complex)) (F2:(complex->complex)), ((((eq (complex->complex)) ((comp_c130555887omplex G2) F2)) id_complex)->((((eq (complex->complex)) ((comp_c130555887omplex F2) G2)) id_complex)->(((bij_be209634132omplex F2) top_top_set_complex) top_top_set_complex)))) of role axiom named fact_311_o__bij
% 0.81/1.01  A new axiom: (forall (G2:(complex->complex)) (F2:(complex->complex)), ((((eq (complex->complex)) ((comp_c130555887omplex G2) F2)) id_complex)->((((eq (complex->complex)) ((comp_c130555887omplex F2) G2)) id_complex)->(((bij_be209634132omplex F2) top_top_set_complex) top_top_set_complex))))
% 0.81/1.01  <<<2: a > a,Y: a] :
% 0.81/1.01        ( ( bij_betw_a_a @ F2 @ top_top_set_a @ top_top_set_a )
% 0.81/1.01       => ~ !>>>!!!<<< [X4: a] :
% 0.81/1.01              ( ( Y
% 0.81/1.01                = ( F2 @ X4 ) )
% 0.81/1.01             => ~ ! [X6: a] :
% 0.81/1.01     >>>
% 0.81/1.01  statestack=[0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 22, 30, 36, 43, 50, 99, 113, 185, 229, 265, 285, 300, 221, 120, 187, 124]
% 0.81/1.01  symstack=[$end, TPTP_file_pre, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, 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TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,95014), LexToken(LPAR,'(',1,95017), name, LexToken(COMMA,',',1,95038), formula_role, LexToken(COMMA,',',1,95044), LexToken(LPAR,'(',1,95045), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,95053), thf_variable_list, LexToken(RBRACKET,']',1,95068), LexToken(COLON,':',1,95070), LexToken(LPAR,'(',1,95078), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.81/1.01  Unexpected exception Syntax error at '!':BANG
% 0.81/1.01  Traceback (most recent call last):
% 0.81/1.01    File "CASC.py", line 79, in <module>
% 0.81/1.01      problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.81/1.01    File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.81/1.01      parser.parse(file.read(),debug=0,lexer=lexer)
% 0.81/1.01    File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.81/1.01      return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.81/1.01    File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.81/1.01      tok = self.errorfunc(errtoken)
% 0.81/1.01    File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.81/1.01      raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.81/1.01  TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------