TSTP Solution File: ITP156^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP156^1 : TPTP v7.5.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.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 13:24:21 EDT 2021
% Result : Unknown 0.71s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : ITP156^1 : TPTP v7.5.0. Released v7.5.0.
% 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Fri Mar 19 06:44:00 EDT 2021
% 0.13/0.33 % CPUTime :
% 0.13/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.34 Python 2.7.5
% 0.44/0.61 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x1985f80>, <kernel.Type object at 0x2b0486b15680>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_Itf__a_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_Itf__a_Mt__Real__Oreal_J_J_J
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring set_Pr1741234931a_real:Type
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x1985f38>, <kernel.Type object at 0x2b0486b15488>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_Itf__a_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_Itf__a_Mt__Real__Oreal_J_J
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring produc1826081171a_real:Type
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x1985f80>, <kernel.Type object at 0x2b0486b157e8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_Itf__a_Mtf__a_J_Mt__Product____Type__Oprod_Itf__a_Mtf__a_J_J_J
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring set_Pr1948701895od_a_a:Type
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x198f128>, <kernel.Type object at 0x2b0486b15440>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_Itf__a_Mtf__a_J_Mt__Product____Type__Oprod_Itf__a_Mtf__a_J_J
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring produc1572603623od_a_a:Type
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x1985f80>, <kernel.Type object at 0x2b0486b153b0>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring produc826782210l_real:Type
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x1985f80>, <kernel.Type object at 0x2b0486b152d8>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_Mt__Real__Oreal_J
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring produc578556564l_real:Type
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x2b0486b15440>, <kernel.Type object at 0x2b0486b15638>) of role type named ty_n_t__Product____Type__Oprod_Itf__a_Mt__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring produc1286132450l_real:Type
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x2b0486b153b0>, <kernel.Type object at 0x2b0486b15710>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_Mtf__a_J
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring produc1088645164real_a:Type
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x2b0486b152d8>, <kernel.Type object at 0x2b0486b15248>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Product____Type__Oprod_Itf__a_Mtf__a_J_J
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring produc2096821232od_a_a:Type
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x2b0486b15638>, <kernel.Type object at 0x2b0486b153f8>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_Itf__a_Mtf__a_J_Mt__Real__Oreal_J
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring produc348734722a_real:Type
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x2b0486b15710>, <kernel.Type object at 0x2b0486b15248>) of role type named ty_n_t__Product____Type__Oprod_Itf__a_Mt__Product____Type__Oprod_Itf__a_Mtf__a_J_J
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring produc1921647824od_a_a:Type
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x2b0486b17e60>, <kernel.Type object at 0x2b0486b153f8>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_Itf__a_Mtf__a_J_Mtf__a_J
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring produc1016684094_a_a_a:Type
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x2b0486b17dd0>, <kernel.Type object at 0x2b0486b15248>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring set_Pr147102617l_real:Type
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x2b0486b15680>, <kernel.Type object at 0x1c32c20>) of role type named ty_n_t__Product____Type__Oprod_It__Set__Oset_It__Real__Oreal_J_Mt__Real__Oreal_J
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring produc391212143l_real:Type
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x2b0486b152d8>, <kernel.Type object at 0x1c32c20>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Set__Oset_It__Real__Oreal_J_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring produc443621487t_real:Type
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x2b0486b15248>, <kernel.Type object at 0x1c32bd8>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Product____Type__Oprod_Itf__a_Mtf__a_J_J_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring set_se1596668135od_a_a:Type
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x2b0486b157e8>, <kernel.Type object at 0x1c32f80>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__a_Mt__Real__Oreal_J_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring set_Pr1928503567a_real:Type
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x2b0486b15248>, <kernel.Type object at 0x1c32d88>) of role type named ty_n_t__Product____Type__Oprod_Itf__a_Mt__Set__Oset_It__Real__Oreal_J_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring produc1396156303t_real:Type
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x2b0486b152d8>, <kernel.Type object at 0x1c32ea8>) of role type named ty_n_t__Product____Type__Oprod_It__Set__Oset_It__Real__Oreal_J_Mtf__a_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring produc1232925073real_a:Type
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x2b0486b15248>, <kernel.Type object at 0x1c32d40>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Set__Oset_Itf__a_J_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring produc1923333543_set_a:Type
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x2b0486b15248>, <kernel.Type object at 0x1c32fc8>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring produc957004601l_real:Type
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x2b047f018c68>, <kernel.Type object at 0x1c32cf8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__a_Mtf__a_J_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring set_Product_prod_a_a:Type
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x198a248>, <kernel.Type object at 0x1c32fc8>) of role type named ty_n_t__Product____Type__Oprod_Itf__a_Mt__Set__Oset_Itf__a_J_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring product_prod_a_set_a:Type
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1c32bd8>, <kernel.Type object at 0x1968cf8>) of role type named ty_n_t__Product____Type__Oprod_Itf__a_Mt__Real__Oreal_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring product_prod_a_real:Type
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1c32c20>, <kernel.Type object at 0x1968cf8>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mtf__a_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring product_prod_real_a:Type
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1c32fc8>, <kernel.Type object at 0x1968ea8>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Real__Oreal_J_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring set_set_real:Type
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1c32d88>, <kernel.Type object at 0x1968b00>) of role type named ty_n_t__Product____Type__Oprod_Itf__a_Mtf__a_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring product_prod_a_a:Type
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1c32fc8>, <kernel.Type object at 0x19685f0>) of role type named ty_n_t__Set__Oset_It__Set__Oset_Itf__a_J_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring set_set_a:Type
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1c32d88>, <kernel.Type object at 0x1968b00>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring set_real:Type
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1c32c20>, <kernel.Type object at 0x1968ab8>) of role type named ty_n_t__Set__Oset_Itf__a_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring set_a:Type
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1c32c20>, <kernel.Type object at 0x1968d88>) of role type named ty_n_t__Real__Oreal
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring real:Type
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1968b00>, <kernel.Type object at 0x19685f0>) of role type named ty_n_tf__a
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring a:Type
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1968ea8>, <kernel.Constant object at 0x1968dd0>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring one_one_real:real
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1968d88>, <kernel.DependentProduct object at 0x1968b90>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring plus_p77862768l_real:(produc957004601l_real->(produc957004601l_real->produc957004601l_real))
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1968bd8>, <kernel.DependentProduct object at 0x1968e18>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Set__Oset_It__Real__Oreal_J_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring plus_p2005278886t_real:(produc443621487t_real->(produc443621487t_real->produc443621487t_real))
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1968dd0>, <kernel.DependentProduct object at 0x1968c68>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Set__Oset_Itf__a_J_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring plus_p125342128_set_a:(produc1923333543_set_a->(produc1923333543_set_a->produc1923333543_set_a))
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1968b90>, <kernel.DependentProduct object at 0x1968638>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Product____Type__Oprod_It__Real__Oreal_Mtf__a_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring plus_p1243198544real_a:(product_prod_real_a->(product_prod_real_a->product_prod_real_a))
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1968e18>, <kernel.DependentProduct object at 0x1968ea8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Product____Type__Oprod_It__Set__Oset_It__Real__Oreal_J_Mt__Real__Oreal_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring plus_p1952869542l_real:(produc391212143l_real->(produc391212143l_real->produc391212143l_real))
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1968c68>, <kernel.DependentProduct object at 0x1968bd8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Product____Type__Oprod_It__Set__Oset_It__Real__Oreal_J_Mtf__a_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring plus_p1582417306real_a:(produc1232925073real_a->(produc1232925073real_a->produc1232925073real_a))
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1968638>, <kernel.DependentProduct object at 0x1968e18>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Product____Type__Oprod_Itf__a_Mt__Real__Oreal_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring plus_p541014626a_real:(product_prod_a_real->(product_prod_a_real->product_prod_a_real))
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1968c20>, <kernel.DependentProduct object at 0x1968c68>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Product____Type__Oprod_Itf__a_Mt__Set__Oset_It__Real__Oreal_J_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring plus_p1745648536t_real:(produc1396156303t_real->(produc1396156303t_real->produc1396156303t_real))
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1968b90>, <kernel.DependentProduct object at 0x1968638>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Product____Type__Oprod_Itf__a_Mt__Set__Oset_Itf__a_J_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring plus_p1265825342_set_a:(product_prod_a_set_a->(product_prod_a_set_a->product_prod_a_set_a))
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1968c68>, <kernel.DependentProduct object at 0x1c23ea8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Product____Type__Oprod_Itf__a_Mtf__a_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring plus_p1505579230od_a_a:(product_prod_a_a->(product_prod_a_a->product_prod_a_a))
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1968c20>, <kernel.DependentProduct object at 0x1c239e0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring plus_plus_real:(real->(real->real))
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1968c68>, <kernel.DependentProduct object at 0x1c23ef0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Set__Oset_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring plus_p1708760016l_real:(set_Pr147102617l_real->(set_Pr147102617l_real->set_Pr147102617l_real))
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1968c20>, <kernel.DependentProduct object at 0x1c23d88>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Set__Oset_It__Product____Type__Oprod_Itf__a_Mt__Real__Oreal_J_J
% 0.46/0.61 Using role type
% 0.46/0.61 Declaring plus_p130512152a_real:(set_Pr1928503567a_real->(set_Pr1928503567a_real->set_Pr1928503567a_real))
% 0.46/0.61 FOF formula (<kernel.Constant object at 0x1968638>, <kernel.DependentProduct object at 0x1c23b00>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Set__Oset_It__Product____Type__Oprod_Itf__a_Mtf__a_J_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring plus_p634297534od_a_a:(set_Product_prod_a_a->(set_Product_prod_a_a->set_Product_prod_a_a))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1968638>, <kernel.DependentProduct object at 0x1c23b90>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Set__Oset_It__Real__Oreal_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring plus_plus_set_real:(set_real->(set_real->set_real))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1c23d88>, <kernel.DependentProduct object at 0x1c23b48>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Set__Oset_It__Set__Oset_It__Product____Type__Oprod_Itf__a_Mtf__a_J_J_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring plus_p1613276318od_a_a:(set_se1596668135od_a_a->(set_se1596668135od_a_a->set_se1596668135od_a_a))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1c23b00>, <kernel.DependentProduct object at 0x1c23bd8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Set__Oset_It__Set__Oset_It__Real__Oreal_J_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring plus_p768704801t_real:(set_set_real->(set_set_real->set_set_real))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1c23b90>, <kernel.DependentProduct object at 0x1c23ea8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Set__Oset_It__Set__Oset_Itf__a_J_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring plus_plus_set_set_a:(set_set_a->(set_set_a->set_set_a))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1c23f80>, <kernel.DependentProduct object at 0x1c239e0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Set__Oset_Itf__a_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring plus_plus_set_a:(set_a->(set_a->set_a))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1c23bd8>, <kernel.DependentProduct object at 0x1c23ef0>) of role type named sy_c_Groups_Oplus__class_Oplus_001tf__a
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring plus_plus_a:(a->(a->a))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1c23ea8>, <kernel.Constant object at 0x1c23ef0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_Mt__Real__Oreal_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring zero_z342251165l_real:produc578556564l_real
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1c23f80>, <kernel.Constant object at 0x1c23ef0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_Mtf__a_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring zero_z1937883107real_a:produc1088645164real_a
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1c23bd8>, <kernel.Constant object at 0x1c23ef0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring zero_z590476811l_real:produc826782210l_real
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1c23ea8>, <kernel.Constant object at 0x1c23ef0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Product____Type__Oprod_Itf__a_Mtf__a_J_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring zero_z396988537od_a_a:produc2096821232od_a_a
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1c23f80>, <kernel.Constant object at 0x1c23ef0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring zero_z659284464l_real:produc957004601l_real
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1c23bd8>, <kernel.Constant object at 0x1c23ef0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Product____Type__Oprod_It__Real__Oreal_Mtf__a_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring zero_z1407338960real_a:product_prod_real_a
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1c23ea8>, <kernel.Constant object at 0x1c23f80>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Product____Type__Oprod_Itf__a_Mt__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring zero_z2135370393l_real:produc1286132450l_real
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1c23bd8>, <kernel.Constant object at 0x198ea28>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Product____Type__Oprod_Itf__a_Mt__Product____Type__Oprod_Itf__a_Mtf__a_J_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring zero_z53797895od_a_a:produc1921647824od_a_a
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1c23f80>, <kernel.Constant object at 0x198e248>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Product____Type__Oprod_Itf__a_Mt__Real__Oreal_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring zero_z705155042a_real:product_prod_a_real
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1c23bd8>, <kernel.Constant object at 0x198e1b8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Product____Type__Oprod_Itf__a_Mtf__a_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring zero_z950819678od_a_a:product_prod_a_a
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1c23ef0>, <kernel.Constant object at 0x198e1b8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring zero_zero_real:real
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1c23ef0>, <kernel.Constant object at 0x198e1b8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Set__Oset_It__Product____Type__Oprod_Itf__a_Mtf__a_J_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring zero_z257140542od_a_a:set_Product_prod_a_a
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x198ef80>, <kernel.Constant object at 0x198e1b8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Set__Oset_It__Real__Oreal_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring zero_zero_set_real:set_real
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x198ebd8>, <kernel.Constant object at 0x198e1b8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Set__Oset_Itf__a_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring zero_zero_set_a:set_a
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x198e098>, <kernel.Constant object at 0x198e1b8>) of role type named sy_c_Groups_Ozero__class_Ozero_001tf__a
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring zero_zero_a:a
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x198ef80>, <kernel.DependentProduct object at 0x198e998>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring ord_less_real:(real->(real->Prop))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x198e488>, <kernel.DependentProduct object at 0x198e908>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Product____Type__Oprod_Itf__a_Mtf__a_J_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring ord_le108336051od_a_a:(set_Product_prod_a_a->(set_Product_prod_a_a->Prop))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x198e1b8>, <kernel.DependentProduct object at 0x198ebd8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring ord_le1342644953l_real:(produc957004601l_real->(produc957004601l_real->Prop))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x198e8c0>, <kernel.DependentProduct object at 0x198b440>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x198ed88>, <kernel.DependentProduct object at 0x198b050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_Itf__a_Mtf__a_J_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring ord_le1824328871od_a_a:(set_Product_prod_a_a->(set_Product_prod_a_a->Prop))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x198e488>, <kernel.DependentProduct object at 0x198b8c0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x198e8c0>, <kernel.DependentProduct object at 0x198b9e0>) of role type named sy_c_Preferences__Mirabelle__wwlsriwuiu_Oweak__convex__pref_001t__Product____Type__Oprod_Itf__a_Mt__Real__Oreal_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring prefer1113819806a_real:(set_Pr1741234931a_real->Prop)
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x198ed88>, <kernel.DependentProduct object at 0x198b830>) of role type named sy_c_Preferences__Mirabelle__wwlsriwuiu_Oweak__convex__pref_001t__Product____Type__Oprod_Itf__a_Mtf__a_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring prefer225425826od_a_a:(set_Pr1948701895od_a_a->Prop)
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x198ef80>, <kernel.DependentProduct object at 0x198bb00>) of role type named sy_c_Preferences__Mirabelle__wwlsriwuiu_Oweak__convex__pref_001t__Real__Oreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring prefer1247792113f_real:(set_Pr147102617l_real->Prop)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198ed88>, <kernel.DependentProduct object at 0x198b5f0>) of role type named sy_c_Preferences__Mirabelle__wwlsriwuiu_Oweak__convex__pref_001tf__a
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring prefer529818233pref_a:(set_Product_prod_a_a->Prop)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198ef80>, <kernel.DependentProduct object at 0x198b440>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_001t__Real__Oreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc1175086478l_real:(produc957004601l_real->(real->produc578556564l_real))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198ef80>, <kernel.DependentProduct object at 0x198b9e0>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_001tf__a
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc1430099868real_a:(produc957004601l_real->(a->produc1088645164real_a))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198bcf8>, <kernel.DependentProduct object at 0x198bb00>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_Itf__a_Mt__Real__Oreal_J_001t__Product____Type__Oprod_Itf__a_Mt__Real__Oreal_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc886678603a_real:(product_prod_a_real->(product_prod_a_real->produc1826081171a_real))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198b440>, <kernel.DependentProduct object at 0x198b8c0>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_Itf__a_Mtf__a_J_001t__Product____Type__Oprod_Itf__a_Mtf__a_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc1474507607od_a_a:(product_prod_a_a->(product_prod_a_a->produc1572603623od_a_a))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198b9e0>, <kernel.DependentProduct object at 0x198b830>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_Itf__a_Mtf__a_J_001t__Real__Oreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc454274172a_real:(product_prod_a_a->(real->produc348734722a_real))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198bb00>, <kernel.DependentProduct object at 0x198bc20>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_Itf__a_Mtf__a_J_001tf__a
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc2061588782_a_a_a:(product_prod_a_a->(a->produc1016684094_a_a_a))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198b290>, <kernel.DependentProduct object at 0x198b320>) of role type named sy_c_Product__Type_OPair_001t__Real__Oreal_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc1926903988l_real:(real->(produc957004601l_real->produc826782210l_real))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198b830>, <kernel.DependentProduct object at 0x198bcf8>) of role type named sy_c_Product__Type_OPair_001t__Real__Oreal_001t__Product____Type__Oprod_Itf__a_Mtf__a_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc454550562od_a_a:(real->(product_prod_a_a->produc2096821232od_a_a))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198bc20>, <kernel.DependentProduct object at 0x198b440>) of role type named sy_c_Product__Type_OPair_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc705216881l_real:(real->(real->produc957004601l_real))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198b320>, <kernel.DependentProduct object at 0x198b9e0>) of role type named sy_c_Product__Type_OPair_001t__Real__Oreal_001t__Set__Oset_It__Real__Oreal_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc247649703t_real:(real->(set_real->produc443621487t_real))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198bf80>, <kernel.DependentProduct object at 0x198bb00>) of role type named sy_c_Product__Type_OPair_001t__Real__Oreal_001t__Set__Oset_Itf__a_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc1872317017_set_a:(real->(set_a->produc1923333543_set_a))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198b0e0>, <kernel.DependentProduct object at 0x198b290>) of role type named sy_c_Product__Type_OPair_001t__Real__Oreal_001tf__a
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring product_Pair_real_a:(real->(a->product_prod_real_a))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198b7a0>, <kernel.DependentProduct object at 0x198bc20>) of role type named sy_c_Product__Type_OPair_001t__Set__Oset_It__Real__Oreal_J_001t__Real__Oreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc1812461223l_real:(set_real->(real->produc391212143l_real))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198bb00>, <kernel.DependentProduct object at 0x198b0e0>) of role type named sy_c_Product__Type_OPair_001t__Set__Oset_It__Real__Oreal_J_001tf__a
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc617496131real_a:(set_real->(a->produc1232925073real_a))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198b320>, <kernel.DependentProduct object at 0x198b7a0>) of role type named sy_c_Product__Type_OPair_001tf__a_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc64206290l_real:(a->(produc957004601l_real->produc1286132450l_real))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198bf80>, <kernel.DependentProduct object at 0x198bb00>) of role type named sy_c_Product__Type_OPair_001tf__a_001t__Product____Type__Oprod_Itf__a_Mtf__a_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc1299253312od_a_a:(a->(product_prod_a_a->produc1921647824od_a_a))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198b7a0>, <kernel.DependentProduct object at 0x2b047f042128>) of role type named sy_c_Product__Type_OPair_001tf__a_001t__Real__Oreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring product_Pair_a_real:(a->(real->product_prod_a_real))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198b320>, <kernel.DependentProduct object at 0x2b047f042050>) of role type named sy_c_Product__Type_OPair_001tf__a_001t__Set__Oset_It__Real__Oreal_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc1391501065t_real:(a->(set_real->produc1396156303t_real))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198b7a0>, <kernel.DependentProduct object at 0x2b047f042098>) of role type named sy_c_Product__Type_OPair_001tf__a_001t__Set__Oset_Itf__a_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring product_Pair_a_set_a:(a->(set_a->product_prod_a_set_a))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198b320>, <kernel.DependentProduct object at 0x2b047f0420e0>) of role type named sy_c_Product__Type_OPair_001tf__a_001tf__a
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring product_Pair_a_a:(a->(a->product_prod_a_a))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198bb00>, <kernel.DependentProduct object at 0x2b047f042200>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Product____Type__Oprod_It__Product____Type__Oprod_Itf__a_Mtf__a_J_Mt__Product____Type__Oprod_Itf__a_Mtf__a_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring real_V368978776od_a_a:(real->(produc1572603623od_a_a->produc1572603623od_a_a))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x198bb00>, <kernel.DependentProduct object at 0x2b047f0422d8>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Product____Type__Oprod_It__Product____Type__Oprod_Itf__a_Mtf__a_J_Mt__Real__Oreal_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring real_V195069393a_real:(real->(produc348734722a_real->produc348734722a_real))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b047f0420e0>, <kernel.DependentProduct object at 0x2b047f0421b8>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Product____Type__Oprod_It__Product____Type__Oprod_Itf__a_Mtf__a_J_Mtf__a_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring real_V1538726831_a_a_a:(real->(produc1016684094_a_a_a->produc1016684094_a_a_a))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b047f042200>, <kernel.DependentProduct object at 0x2b047f042248>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Product____Type__Oprod_Itf__a_Mtf__a_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring real_V1943155903od_a_a:(real->(produc2096821232od_a_a->produc2096821232od_a_a))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b047f0422d8>, <kernel.DependentProduct object at 0x2b047f042128>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring real_V1139189034l_real:(real->(produc957004601l_real->produc957004601l_real))
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2b047f0421b8>, <kernel.DependentProduct object at 0x2b047f042050>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Product____Type__Oprod_It__Real__Oreal_Mtf__a_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring real_V1214981142real_a:(real->(product_prod_real_a->product_prod_real_a))
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2b047f042248>, <kernel.DependentProduct object at 0x2b047f042098>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Product____Type__Oprod_Itf__a_Mt__Product____Type__Oprod_Itf__a_Mtf__a_J_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring real_V296206913od_a_a:(real->(produc1921647824od_a_a->produc1921647824od_a_a))
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2b047f042128>, <kernel.DependentProduct object at 0x2b047f0420e0>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Product____Type__Oprod_Itf__a_Mt__Real__Oreal_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring real_V512797224a_real:(real->(product_prod_a_real->product_prod_a_real))
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2b047f042050>, <kernel.DependentProduct object at 0x2b047f042200>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Product____Type__Oprod_Itf__a_Mtf__a_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring real_V543523736od_a_a:(real->(product_prod_a_a->product_prod_a_a))
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2b047f042098>, <kernel.DependentProduct object at 0x2b047f0422d8>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Real__Oreal
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring real_V453051771R_real:(real->(real->real))
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2b047f0420e0>, <kernel.DependentProduct object at 0x2b047f0421b8>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001tf__a
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring real_V1035702895aleR_a:(real->(a->a))
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2b047f042200>, <kernel.DependentProduct object at 0x2b047f042128>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring collec1300223524l_real:((produc957004601l_real->Prop)->set_Pr147102617l_real)
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2b047f0422d8>, <kernel.DependentProduct object at 0x2b047f042050>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_Itf__a_Mtf__a_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring collec645855634od_a_a:((product_prod_a_a->Prop)->set_Product_prod_a_a)
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2b047f042320>, <kernel.DependentProduct object at 0x2b047f0426c8>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring collect_real:((real->Prop)->set_real)
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2b047f042170>, <kernel.DependentProduct object at 0x2b047f0422d8>) of role type named sy_c_Set_OCollect_001tf__a
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring collect_a:((a->Prop)->set_a)
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2b047f042050>, <kernel.DependentProduct object at 0x2b047f0426c8>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_Itf__a_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_Itf__a_Mt__Real__Oreal_J_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring member384820540a_real:(produc1826081171a_real->(set_Pr1741234931a_real->Prop))
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2b047f042098>, <kernel.DependentProduct object at 0x2b047f042680>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_Itf__a_Mtf__a_J_Mt__Product____Type__Oprod_Itf__a_Mtf__a_J_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring member2057358096od_a_a:(produc1572603623od_a_a->(set_Pr1948701895od_a_a->Prop))
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2b047f0420e0>, <kernel.DependentProduct object at 0x2b047f042248>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring member1068169442l_real:(produc957004601l_real->(set_Pr147102617l_real->Prop))
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2b047f042758>, <kernel.DependentProduct object at 0x2b047f042170>) of role type named sy_c_member_001t__Product____Type__Oprod_Itf__a_Mt__Real__Oreal_J
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring member1103263856a_real:(product_prod_a_real->(set_Pr1928503567a_real->Prop))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2b047f0427a0>, <kernel.DependentProduct object at 0x2b047f042050>) of role type named sy_c_member_001t__Product____Type__Oprod_Itf__a_Mtf__a_J
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring member449909584od_a_a:(product_prod_a_a->(set_Product_prod_a_a->Prop))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2b047f042638>, <kernel.DependentProduct object at 0x2b047f0427a0>) of role type named sy_c_member_001t__Real__Oreal
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring member_real:(real->(set_real->Prop))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2b047f0420e0>, <kernel.DependentProduct object at 0x2b047f042098>) of role type named sy_c_member_001t__Set__Oset_It__Product____Type__Oprod_Itf__a_Mtf__a_J_J
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring member1838126896od_a_a:(set_Product_prod_a_a->(set_se1596668135od_a_a->Prop))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2b047f042050>, <kernel.DependentProduct object at 0x2b047f042758>) of role type named sy_c_member_001t__Set__Oset_It__Real__Oreal_J
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring member_set_real:(set_real->(set_set_real->Prop))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2b047f042830>, <kernel.DependentProduct object at 0x2b047f0427a0>) of role type named sy_c_member_001t__Set__Oset_Itf__a_J
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring member_set_a:(set_a->(set_set_a->Prop))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2b047f042098>, <kernel.DependentProduct object at 0x2b047f042878>) of role type named sy_c_member_001tf__a
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring member_a:(a->(set_a->Prop))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2b047f042758>, <kernel.Constant object at 0x2b047f042878>) of role type named sy_v_relation
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring relation:set_Product_prod_a_a
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2b047f042830>, <kernel.Constant object at 0x2b047f042878>) of role type named sy_v_u
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring u:real
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2b047f042098>, <kernel.Constant object at 0x2b047f042878>) of role type named sy_v_v
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring v:real
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2b047f042758>, <kernel.Constant object at 0x2b047f042878>) of role type named sy_v_x
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring x:a
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2b047f042830>, <kernel.Constant object at 0x2b047f042878>) of role type named sy_v_y
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring y:a
% 0.49/0.64 FOF formula (prefer529818233pref_a relation) of role axiom named fact_0_assms_I1_J
% 0.49/0.64 A new axiom: (prefer529818233pref_a relation)
% 0.49/0.64 FOF formula (forall (X:a) (Y:a), (((and ((member449909584od_a_a ((product_Pair_a_a X) Y)) relation)) ((member449909584od_a_a ((product_Pair_a_a Y) X)) relation))->((member449909584od_a_a ((product_Pair_a_a Y) X)) relation))) of role axiom named fact_1_indifferent__imp__weak__pref_I2_J
% 0.49/0.64 A new axiom: (forall (X:a) (Y:a), (((and ((member449909584od_a_a ((product_Pair_a_a X) Y)) relation)) ((member449909584od_a_a ((product_Pair_a_a Y) X)) relation))->((member449909584od_a_a ((product_Pair_a_a Y) X)) relation)))
% 0.49/0.64 FOF formula (forall (X:a) (Y:a), (((and ((member449909584od_a_a ((product_Pair_a_a X) Y)) relation)) ((member449909584od_a_a ((product_Pair_a_a Y) X)) relation))->((member449909584od_a_a ((product_Pair_a_a X) Y)) relation))) of role axiom named fact_2_indifferent__imp__weak__pref_I1_J
% 0.49/0.64 A new axiom: (forall (X:a) (Y:a), (((and ((member449909584od_a_a ((product_Pair_a_a X) Y)) relation)) ((member449909584od_a_a ((product_Pair_a_a Y) X)) relation))->((member449909584od_a_a ((product_Pair_a_a X) Y)) relation)))
% 0.49/0.64 FOF formula (forall (X:a) (Y:a) (Z:a), (((and ((member449909584od_a_a ((product_Pair_a_a X) Y)) relation)) ((member449909584od_a_a ((product_Pair_a_a Y) X)) relation))->(((and ((member449909584od_a_a ((product_Pair_a_a Y) Z)) relation)) ((member449909584od_a_a ((product_Pair_a_a Z) Y)) relation))->((and ((member449909584od_a_a ((product_Pair_a_a X) Z)) relation)) ((member449909584od_a_a ((product_Pair_a_a Z) X)) relation))))) of role axiom named fact_3_indiff__trans
% 0.49/0.65 A new axiom: (forall (X:a) (Y:a) (Z:a), (((and ((member449909584od_a_a ((product_Pair_a_a X) Y)) relation)) ((member449909584od_a_a ((product_Pair_a_a Y) X)) relation))->(((and ((member449909584od_a_a ((product_Pair_a_a Y) Z)) relation)) ((member449909584od_a_a ((product_Pair_a_a Z) Y)) relation))->((and ((member449909584od_a_a ((product_Pair_a_a X) Z)) relation)) ((member449909584od_a_a ((product_Pair_a_a Z) X)) relation)))))
% 0.49/0.65 FOF formula (forall (X:a) (Y:a) (Z:a), (((and ((member449909584od_a_a ((product_Pair_a_a X) Y)) relation)) (((member449909584od_a_a ((product_Pair_a_a Y) X)) relation)->False))->(((and ((member449909584od_a_a ((product_Pair_a_a Y) Z)) relation)) (((member449909584od_a_a ((product_Pair_a_a Z) Y)) relation)->False))->((and ((member449909584od_a_a ((product_Pair_a_a X) Z)) relation)) (((member449909584od_a_a ((product_Pair_a_a Z) X)) relation)->False))))) of role axiom named fact_4_strict__trans
% 0.49/0.65 A new axiom: (forall (X:a) (Y:a) (Z:a), (((and ((member449909584od_a_a ((product_Pair_a_a X) Y)) relation)) (((member449909584od_a_a ((product_Pair_a_a Y) X)) relation)->False))->(((and ((member449909584od_a_a ((product_Pair_a_a Y) Z)) relation)) (((member449909584od_a_a ((product_Pair_a_a Z) Y)) relation)->False))->((and ((member449909584od_a_a ((product_Pair_a_a X) Z)) relation)) (((member449909584od_a_a ((product_Pair_a_a Z) X)) relation)->False)))))
% 0.49/0.65 FOF formula ((member449909584od_a_a ((product_Pair_a_a x) y)) relation) of role axiom named fact_5_assms_I2_J
% 0.49/0.65 A new axiom: ((member449909584od_a_a ((product_Pair_a_a x) y)) relation)
% 0.49/0.65 FOF formula (((and (not (((eq real) u) zero_zero_real))) (not (((eq real) u) one_one_real)))->((member449909584od_a_a ((product_Pair_a_a ((plus_plus_a ((real_V1035702895aleR_a u) x)) ((real_V1035702895aleR_a v) y))) y)) relation)) of role axiom named fact_6__092_060open_062u_A_092_060noteq_062_A0_A_092_060and_062_Au_A_092_060noteq_062_A1_A_092_060longrightarrow_062_Au_A_K_092_060_094sub_062R_Ax_A_L_Av_A_K_092_060_094sub_062R_Ay_A_092_060succeq_062_Ay_092_060close_062
% 0.49/0.65 A new axiom: (((and (not (((eq real) u) zero_zero_real))) (not (((eq real) u) one_one_real)))->((member449909584od_a_a ((product_Pair_a_a ((plus_plus_a ((real_V1035702895aleR_a u) x)) ((real_V1035702895aleR_a v) y))) y)) relation))
% 0.49/0.65 FOF formula ((((eq real) u) zero_zero_real)->((member449909584od_a_a ((product_Pair_a_a ((plus_plus_a ((real_V1035702895aleR_a u) x)) ((real_V1035702895aleR_a v) y))) y)) relation)) of role axiom named fact_7_u__0
% 0.49/0.65 A new axiom: ((((eq real) u) zero_zero_real)->((member449909584od_a_a ((product_Pair_a_a ((plus_plus_a ((real_V1035702895aleR_a u) x)) ((real_V1035702895aleR_a v) y))) y)) relation))
% 0.49/0.65 FOF formula ((ord_less_eq_real zero_zero_real) v) of role axiom named fact_8_assms_I4_J
% 0.49/0.65 A new axiom: ((ord_less_eq_real zero_zero_real) v)
% 0.49/0.65 FOF formula (((eq real) ((plus_plus_real u) v)) one_one_real) of role axiom named fact_9_assms_I5_J
% 0.49/0.65 A new axiom: (((eq real) ((plus_plus_real u) v)) one_one_real)
% 0.49/0.65 FOF formula ((ord_less_eq_real zero_zero_real) u) of role axiom named fact_10_assms_I3_J
% 0.49/0.65 A new axiom: ((ord_less_eq_real zero_zero_real) u)
% 0.49/0.65 FOF formula (forall (R:real) (A:a) (B:product_prod_a_a), (((eq produc1921647824od_a_a) ((real_V296206913od_a_a R) ((produc1299253312od_a_a A) B))) ((produc1299253312od_a_a ((real_V1035702895aleR_a R) A)) ((real_V543523736od_a_a R) B)))) of role axiom named fact_11_scaleR__Pair
% 0.49/0.65 A new axiom: (forall (R:real) (A:a) (B:product_prod_a_a), (((eq produc1921647824od_a_a) ((real_V296206913od_a_a R) ((produc1299253312od_a_a A) B))) ((produc1299253312od_a_a ((real_V1035702895aleR_a R) A)) ((real_V543523736od_a_a R) B))))
% 0.49/0.65 FOF formula (forall (R:real) (A:a) (B:real), (((eq product_prod_a_real) ((real_V512797224a_real R) ((product_Pair_a_real A) B))) ((product_Pair_a_real ((real_V1035702895aleR_a R) A)) ((real_V453051771R_real R) B)))) of role axiom named fact_12_scaleR__Pair
% 0.49/0.65 A new axiom: (forall (R:real) (A:a) (B:real), (((eq product_prod_a_real) ((real_V512797224a_real R) ((product_Pair_a_real A) B))) ((product_Pair_a_real ((real_V1035702895aleR_a R) A)) ((real_V453051771R_real R) B))))
% 0.49/0.66 FOF formula (forall (R:real) (A:product_prod_a_a) (B:a), (((eq produc1016684094_a_a_a) ((real_V1538726831_a_a_a R) ((produc2061588782_a_a_a A) B))) ((produc2061588782_a_a_a ((real_V543523736od_a_a R) A)) ((real_V1035702895aleR_a R) B)))) of role axiom named fact_13_scaleR__Pair
% 0.49/0.66 A new axiom: (forall (R:real) (A:product_prod_a_a) (B:a), (((eq produc1016684094_a_a_a) ((real_V1538726831_a_a_a R) ((produc2061588782_a_a_a A) B))) ((produc2061588782_a_a_a ((real_V543523736od_a_a R) A)) ((real_V1035702895aleR_a R) B))))
% 0.49/0.66 FOF formula (forall (R:real) (A:product_prod_a_a) (B:product_prod_a_a), (((eq produc1572603623od_a_a) ((real_V368978776od_a_a R) ((produc1474507607od_a_a A) B))) ((produc1474507607od_a_a ((real_V543523736od_a_a R) A)) ((real_V543523736od_a_a R) B)))) of role axiom named fact_14_scaleR__Pair
% 0.49/0.66 A new axiom: (forall (R:real) (A:product_prod_a_a) (B:product_prod_a_a), (((eq produc1572603623od_a_a) ((real_V368978776od_a_a R) ((produc1474507607od_a_a A) B))) ((produc1474507607od_a_a ((real_V543523736od_a_a R) A)) ((real_V543523736od_a_a R) B))))
% 0.49/0.66 FOF formula (forall (R:real) (A:product_prod_a_a) (B:real), (((eq produc348734722a_real) ((real_V195069393a_real R) ((produc454274172a_real A) B))) ((produc454274172a_real ((real_V543523736od_a_a R) A)) ((real_V453051771R_real R) B)))) of role axiom named fact_15_scaleR__Pair
% 0.49/0.66 A new axiom: (forall (R:real) (A:product_prod_a_a) (B:real), (((eq produc348734722a_real) ((real_V195069393a_real R) ((produc454274172a_real A) B))) ((produc454274172a_real ((real_V543523736od_a_a R) A)) ((real_V453051771R_real R) B))))
% 0.49/0.66 FOF formula (forall (R:real) (A:real) (B:a), (((eq product_prod_real_a) ((real_V1214981142real_a R) ((product_Pair_real_a A) B))) ((product_Pair_real_a ((real_V453051771R_real R) A)) ((real_V1035702895aleR_a R) B)))) of role axiom named fact_16_scaleR__Pair
% 0.49/0.66 A new axiom: (forall (R:real) (A:real) (B:a), (((eq product_prod_real_a) ((real_V1214981142real_a R) ((product_Pair_real_a A) B))) ((product_Pair_real_a ((real_V453051771R_real R) A)) ((real_V1035702895aleR_a R) B))))
% 0.49/0.66 FOF formula (forall (R:real) (A:real) (B:product_prod_a_a), (((eq produc2096821232od_a_a) ((real_V1943155903od_a_a R) ((produc454550562od_a_a A) B))) ((produc454550562od_a_a ((real_V453051771R_real R) A)) ((real_V543523736od_a_a R) B)))) of role axiom named fact_17_scaleR__Pair
% 0.49/0.66 A new axiom: (forall (R:real) (A:real) (B:product_prod_a_a), (((eq produc2096821232od_a_a) ((real_V1943155903od_a_a R) ((produc454550562od_a_a A) B))) ((produc454550562od_a_a ((real_V453051771R_real R) A)) ((real_V543523736od_a_a R) B))))
% 0.49/0.66 FOF formula (forall (R:real) (A:real) (B:real), (((eq produc957004601l_real) ((real_V1139189034l_real R) ((produc705216881l_real A) B))) ((produc705216881l_real ((real_V453051771R_real R) A)) ((real_V453051771R_real R) B)))) of role axiom named fact_18_scaleR__Pair
% 0.49/0.66 A new axiom: (forall (R:real) (A:real) (B:real), (((eq produc957004601l_real) ((real_V1139189034l_real R) ((produc705216881l_real A) B))) ((produc705216881l_real ((real_V453051771R_real R) A)) ((real_V453051771R_real R) B))))
% 0.49/0.66 FOF formula (forall (R:real) (A:a) (B:a), (((eq product_prod_a_a) ((real_V543523736od_a_a R) ((product_Pair_a_a A) B))) ((product_Pair_a_a ((real_V1035702895aleR_a R) A)) ((real_V1035702895aleR_a R) B)))) of role axiom named fact_19_scaleR__Pair
% 0.49/0.66 A new axiom: (forall (R:real) (A:a) (B:a), (((eq product_prod_a_a) ((real_V543523736od_a_a R) ((product_Pair_a_a A) B))) ((product_Pair_a_a ((real_V1035702895aleR_a R) A)) ((real_V1035702895aleR_a R) B))))
% 0.49/0.66 FOF formula (forall (X:real) (A:a) (B:product_prod_a_a), (((eq produc1921647824od_a_a) ((real_V296206913od_a_a X) ((produc1299253312od_a_a A) B))) ((produc1299253312od_a_a ((real_V1035702895aleR_a X) A)) ((real_V543523736od_a_a X) B)))) of role axiom named fact_20_scale__prod
% 0.49/0.66 A new axiom: (forall (X:real) (A:a) (B:product_prod_a_a), (((eq produc1921647824od_a_a) ((real_V296206913od_a_a X) ((produc1299253312od_a_a A) B))) ((produc1299253312od_a_a ((real_V1035702895aleR_a X) A)) ((real_V543523736od_a_a X) B))))
% 0.49/0.66 FOF formula (forall (X:real) (A:a) (B:real), (((eq product_prod_a_real) ((real_V512797224a_real X) ((product_Pair_a_real A) B))) ((product_Pair_a_real ((real_V1035702895aleR_a X) A)) ((real_V453051771R_real X) B)))) of role axiom named fact_21_scale__prod
% 0.49/0.67 A new axiom: (forall (X:real) (A:a) (B:real), (((eq product_prod_a_real) ((real_V512797224a_real X) ((product_Pair_a_real A) B))) ((product_Pair_a_real ((real_V1035702895aleR_a X) A)) ((real_V453051771R_real X) B))))
% 0.49/0.67 FOF formula (forall (X:real) (A:product_prod_a_a) (B:a), (((eq produc1016684094_a_a_a) ((real_V1538726831_a_a_a X) ((produc2061588782_a_a_a A) B))) ((produc2061588782_a_a_a ((real_V543523736od_a_a X) A)) ((real_V1035702895aleR_a X) B)))) of role axiom named fact_22_scale__prod
% 0.49/0.67 A new axiom: (forall (X:real) (A:product_prod_a_a) (B:a), (((eq produc1016684094_a_a_a) ((real_V1538726831_a_a_a X) ((produc2061588782_a_a_a A) B))) ((produc2061588782_a_a_a ((real_V543523736od_a_a X) A)) ((real_V1035702895aleR_a X) B))))
% 0.49/0.67 FOF formula (forall (X:real) (A:product_prod_a_a) (B:product_prod_a_a), (((eq produc1572603623od_a_a) ((real_V368978776od_a_a X) ((produc1474507607od_a_a A) B))) ((produc1474507607od_a_a ((real_V543523736od_a_a X) A)) ((real_V543523736od_a_a X) B)))) of role axiom named fact_23_scale__prod
% 0.49/0.67 A new axiom: (forall (X:real) (A:product_prod_a_a) (B:product_prod_a_a), (((eq produc1572603623od_a_a) ((real_V368978776od_a_a X) ((produc1474507607od_a_a A) B))) ((produc1474507607od_a_a ((real_V543523736od_a_a X) A)) ((real_V543523736od_a_a X) B))))
% 0.49/0.67 FOF formula (forall (X:real) (A:product_prod_a_a) (B:real), (((eq produc348734722a_real) ((real_V195069393a_real X) ((produc454274172a_real A) B))) ((produc454274172a_real ((real_V543523736od_a_a X) A)) ((real_V453051771R_real X) B)))) of role axiom named fact_24_scale__prod
% 0.49/0.67 A new axiom: (forall (X:real) (A:product_prod_a_a) (B:real), (((eq produc348734722a_real) ((real_V195069393a_real X) ((produc454274172a_real A) B))) ((produc454274172a_real ((real_V543523736od_a_a X) A)) ((real_V453051771R_real X) B))))
% 0.49/0.67 FOF formula (forall (X:real) (A:real) (B:a), (((eq product_prod_real_a) ((real_V1214981142real_a X) ((product_Pair_real_a A) B))) ((product_Pair_real_a ((real_V453051771R_real X) A)) ((real_V1035702895aleR_a X) B)))) of role axiom named fact_25_scale__prod
% 0.49/0.67 A new axiom: (forall (X:real) (A:real) (B:a), (((eq product_prod_real_a) ((real_V1214981142real_a X) ((product_Pair_real_a A) B))) ((product_Pair_real_a ((real_V453051771R_real X) A)) ((real_V1035702895aleR_a X) B))))
% 0.49/0.67 FOF formula (forall (X:real) (A:real) (B:product_prod_a_a), (((eq produc2096821232od_a_a) ((real_V1943155903od_a_a X) ((produc454550562od_a_a A) B))) ((produc454550562od_a_a ((real_V453051771R_real X) A)) ((real_V543523736od_a_a X) B)))) of role axiom named fact_26_scale__prod
% 0.49/0.67 A new axiom: (forall (X:real) (A:real) (B:product_prod_a_a), (((eq produc2096821232od_a_a) ((real_V1943155903od_a_a X) ((produc454550562od_a_a A) B))) ((produc454550562od_a_a ((real_V453051771R_real X) A)) ((real_V543523736od_a_a X) B))))
% 0.49/0.67 FOF formula (forall (X:real) (A:real) (B:real), (((eq produc957004601l_real) ((real_V1139189034l_real X) ((produc705216881l_real A) B))) ((produc705216881l_real ((real_V453051771R_real X) A)) ((real_V453051771R_real X) B)))) of role axiom named fact_27_scale__prod
% 0.49/0.67 A new axiom: (forall (X:real) (A:real) (B:real), (((eq produc957004601l_real) ((real_V1139189034l_real X) ((produc705216881l_real A) B))) ((produc705216881l_real ((real_V453051771R_real X) A)) ((real_V453051771R_real X) B))))
% 0.49/0.67 FOF formula (forall (X:real) (A:a) (B:a), (((eq product_prod_a_a) ((real_V543523736od_a_a X) ((product_Pair_a_a A) B))) ((product_Pair_a_a ((real_V1035702895aleR_a X) A)) ((real_V1035702895aleR_a X) B)))) of role axiom named fact_28_scale__prod
% 0.49/0.67 A new axiom: (forall (X:real) (A:a) (B:a), (((eq product_prod_a_a) ((real_V543523736od_a_a X) ((product_Pair_a_a A) B))) ((product_Pair_a_a ((real_V1035702895aleR_a X) A)) ((real_V1035702895aleR_a X) B))))
% 0.49/0.67 FOF formula (forall (A:a) (B:a) (C:a) (D:a), (((eq product_prod_a_a) ((plus_p1505579230od_a_a ((product_Pair_a_a A) B)) ((product_Pair_a_a C) D))) ((product_Pair_a_a ((plus_plus_a A) C)) ((plus_plus_a B) D)))) of role axiom named fact_29_add__Pair
% 0.49/0.69 A new axiom: (forall (A:a) (B:a) (C:a) (D:a), (((eq product_prod_a_a) ((plus_p1505579230od_a_a ((product_Pair_a_a A) B)) ((product_Pair_a_a C) D))) ((product_Pair_a_a ((plus_plus_a A) C)) ((plus_plus_a B) D))))
% 0.49/0.69 FOF formula (forall (A:a) (B:real) (C:a) (D:real), (((eq product_prod_a_real) ((plus_p541014626a_real ((product_Pair_a_real A) B)) ((product_Pair_a_real C) D))) ((product_Pair_a_real ((plus_plus_a A) C)) ((plus_plus_real B) D)))) of role axiom named fact_30_add__Pair
% 0.49/0.69 A new axiom: (forall (A:a) (B:real) (C:a) (D:real), (((eq product_prod_a_real) ((plus_p541014626a_real ((product_Pair_a_real A) B)) ((product_Pair_a_real C) D))) ((product_Pair_a_real ((plus_plus_a A) C)) ((plus_plus_real B) D))))
% 0.49/0.69 FOF formula (forall (A:real) (B:a) (C:real) (D:a), (((eq product_prod_real_a) ((plus_p1243198544real_a ((product_Pair_real_a A) B)) ((product_Pair_real_a C) D))) ((product_Pair_real_a ((plus_plus_real A) C)) ((plus_plus_a B) D)))) of role axiom named fact_31_add__Pair
% 0.49/0.69 A new axiom: (forall (A:real) (B:a) (C:real) (D:a), (((eq product_prod_real_a) ((plus_p1243198544real_a ((product_Pair_real_a A) B)) ((product_Pair_real_a C) D))) ((product_Pair_real_a ((plus_plus_real A) C)) ((plus_plus_a B) D))))
% 0.49/0.69 FOF formula (forall (A:real) (B:real) (C:real) (D:real), (((eq produc957004601l_real) ((plus_p77862768l_real ((produc705216881l_real A) B)) ((produc705216881l_real C) D))) ((produc705216881l_real ((plus_plus_real A) C)) ((plus_plus_real B) D)))) of role axiom named fact_32_add__Pair
% 0.49/0.69 A new axiom: (forall (A:real) (B:real) (C:real) (D:real), (((eq produc957004601l_real) ((plus_p77862768l_real ((produc705216881l_real A) B)) ((produc705216881l_real C) D))) ((produc705216881l_real ((plus_plus_real A) C)) ((plus_plus_real B) D))))
% 0.49/0.69 FOF formula (forall (A:a) (B:set_real) (C:a) (D:set_real), (((eq produc1396156303t_real) ((plus_p1745648536t_real ((produc1391501065t_real A) B)) ((produc1391501065t_real C) D))) ((produc1391501065t_real ((plus_plus_a A) C)) ((plus_plus_set_real B) D)))) of role axiom named fact_33_add__Pair
% 0.49/0.69 A new axiom: (forall (A:a) (B:set_real) (C:a) (D:set_real), (((eq produc1396156303t_real) ((plus_p1745648536t_real ((produc1391501065t_real A) B)) ((produc1391501065t_real C) D))) ((produc1391501065t_real ((plus_plus_a A) C)) ((plus_plus_set_real B) D))))
% 0.49/0.69 FOF formula (forall (A:a) (B:set_a) (C:a) (D:set_a), (((eq product_prod_a_set_a) ((plus_p1265825342_set_a ((product_Pair_a_set_a A) B)) ((product_Pair_a_set_a C) D))) ((product_Pair_a_set_a ((plus_plus_a A) C)) ((plus_plus_set_a B) D)))) of role axiom named fact_34_add__Pair
% 0.49/0.69 A new axiom: (forall (A:a) (B:set_a) (C:a) (D:set_a), (((eq product_prod_a_set_a) ((plus_p1265825342_set_a ((product_Pair_a_set_a A) B)) ((product_Pair_a_set_a C) D))) ((product_Pair_a_set_a ((plus_plus_a A) C)) ((plus_plus_set_a B) D))))
% 0.49/0.69 FOF formula (forall (A:real) (B:set_real) (C:real) (D:set_real), (((eq produc443621487t_real) ((plus_p2005278886t_real ((produc247649703t_real A) B)) ((produc247649703t_real C) D))) ((produc247649703t_real ((plus_plus_real A) C)) ((plus_plus_set_real B) D)))) of role axiom named fact_35_add__Pair
% 0.49/0.69 A new axiom: (forall (A:real) (B:set_real) (C:real) (D:set_real), (((eq produc443621487t_real) ((plus_p2005278886t_real ((produc247649703t_real A) B)) ((produc247649703t_real C) D))) ((produc247649703t_real ((plus_plus_real A) C)) ((plus_plus_set_real B) D))))
% 0.49/0.69 FOF formula (forall (A:real) (B:set_a) (C:real) (D:set_a), (((eq produc1923333543_set_a) ((plus_p125342128_set_a ((produc1872317017_set_a A) B)) ((produc1872317017_set_a C) D))) ((produc1872317017_set_a ((plus_plus_real A) C)) ((plus_plus_set_a B) D)))) of role axiom named fact_36_add__Pair
% 0.49/0.69 A new axiom: (forall (A:real) (B:set_a) (C:real) (D:set_a), (((eq produc1923333543_set_a) ((plus_p125342128_set_a ((produc1872317017_set_a A) B)) ((produc1872317017_set_a C) D))) ((produc1872317017_set_a ((plus_plus_real A) C)) ((plus_plus_set_a B) D))))
% 0.49/0.69 FOF formula (forall (A:set_real) (B:a) (C:set_real) (D:a), (((eq produc1232925073real_a) ((plus_p1582417306real_a ((produc617496131real_a A) B)) ((produc617496131real_a C) D))) ((produc617496131real_a ((plus_plus_set_real A) C)) ((plus_plus_a B) D)))) of role axiom named fact_37_add__Pair
% 0.49/0.70 A new axiom: (forall (A:set_real) (B:a) (C:set_real) (D:a), (((eq produc1232925073real_a) ((plus_p1582417306real_a ((produc617496131real_a A) B)) ((produc617496131real_a C) D))) ((produc617496131real_a ((plus_plus_set_real A) C)) ((plus_plus_a B) D))))
% 0.49/0.70 FOF formula (forall (A:set_real) (B:real) (C:set_real) (D:real), (((eq produc391212143l_real) ((plus_p1952869542l_real ((produc1812461223l_real A) B)) ((produc1812461223l_real C) D))) ((produc1812461223l_real ((plus_plus_set_real A) C)) ((plus_plus_real B) D)))) of role axiom named fact_38_add__Pair
% 0.49/0.70 A new axiom: (forall (A:set_real) (B:real) (C:set_real) (D:real), (((eq produc391212143l_real) ((plus_p1952869542l_real ((produc1812461223l_real A) B)) ((produc1812461223l_real C) D))) ((produc1812461223l_real ((plus_plus_set_real A) C)) ((plus_plus_real B) D))))
% 0.49/0.70 FOF formula (forall (X1:real) (X2:real) (Y1:real) (Y2:real), (((eq Prop) (((eq produc957004601l_real) ((produc705216881l_real X1) X2)) ((produc705216881l_real Y1) Y2))) ((and (((eq real) X1) Y1)) (((eq real) X2) Y2)))) of role axiom named fact_39_prod_Oinject
% 0.49/0.70 A new axiom: (forall (X1:real) (X2:real) (Y1:real) (Y2:real), (((eq Prop) (((eq produc957004601l_real) ((produc705216881l_real X1) X2)) ((produc705216881l_real Y1) Y2))) ((and (((eq real) X1) Y1)) (((eq real) X2) Y2))))
% 0.49/0.70 FOF formula (forall (X1:real) (X2:a) (Y1:real) (Y2:a), (((eq Prop) (((eq product_prod_real_a) ((product_Pair_real_a X1) X2)) ((product_Pair_real_a Y1) Y2))) ((and (((eq real) X1) Y1)) (((eq a) X2) Y2)))) of role axiom named fact_40_prod_Oinject
% 0.49/0.70 A new axiom: (forall (X1:real) (X2:a) (Y1:real) (Y2:a), (((eq Prop) (((eq product_prod_real_a) ((product_Pair_real_a X1) X2)) ((product_Pair_real_a Y1) Y2))) ((and (((eq real) X1) Y1)) (((eq a) X2) Y2))))
% 0.49/0.70 FOF formula (forall (X1:a) (X2:real) (Y1:a) (Y2:real), (((eq Prop) (((eq product_prod_a_real) ((product_Pair_a_real X1) X2)) ((product_Pair_a_real Y1) Y2))) ((and (((eq a) X1) Y1)) (((eq real) X2) Y2)))) of role axiom named fact_41_prod_Oinject
% 0.49/0.70 A new axiom: (forall (X1:a) (X2:real) (Y1:a) (Y2:real), (((eq Prop) (((eq product_prod_a_real) ((product_Pair_a_real X1) X2)) ((product_Pair_a_real Y1) Y2))) ((and (((eq a) X1) Y1)) (((eq real) X2) Y2))))
% 0.49/0.70 FOF formula (forall (X1:a) (X2:a) (Y1:a) (Y2:a), (((eq Prop) (((eq product_prod_a_a) ((product_Pair_a_a X1) X2)) ((product_Pair_a_a Y1) Y2))) ((and (((eq a) X1) Y1)) (((eq a) X2) Y2)))) of role axiom named fact_42_prod_Oinject
% 0.49/0.70 A new axiom: (forall (X1:a) (X2:a) (Y1:a) (Y2:a), (((eq Prop) (((eq product_prod_a_a) ((product_Pair_a_a X1) X2)) ((product_Pair_a_a Y1) Y2))) ((and (((eq a) X1) Y1)) (((eq a) X2) Y2))))
% 0.49/0.70 FOF formula (forall (A:real) (B:real) (A2:real) (B2:real), (((eq Prop) (((eq produc957004601l_real) ((produc705216881l_real A) B)) ((produc705216881l_real A2) B2))) ((and (((eq real) A) A2)) (((eq real) B) B2)))) of role axiom named fact_43_old_Oprod_Oinject
% 0.49/0.70 A new axiom: (forall (A:real) (B:real) (A2:real) (B2:real), (((eq Prop) (((eq produc957004601l_real) ((produc705216881l_real A) B)) ((produc705216881l_real A2) B2))) ((and (((eq real) A) A2)) (((eq real) B) B2))))
% 0.49/0.70 FOF formula (forall (A:real) (B:a) (A2:real) (B2:a), (((eq Prop) (((eq product_prod_real_a) ((product_Pair_real_a A) B)) ((product_Pair_real_a A2) B2))) ((and (((eq real) A) A2)) (((eq a) B) B2)))) of role axiom named fact_44_old_Oprod_Oinject
% 0.49/0.70 A new axiom: (forall (A:real) (B:a) (A2:real) (B2:a), (((eq Prop) (((eq product_prod_real_a) ((product_Pair_real_a A) B)) ((product_Pair_real_a A2) B2))) ((and (((eq real) A) A2)) (((eq a) B) B2))))
% 0.49/0.70 FOF formula (forall (A:a) (B:real) (A2:a) (B2:real), (((eq Prop) (((eq product_prod_a_real) ((product_Pair_a_real A) B)) ((product_Pair_a_real A2) B2))) ((and (((eq a) A) A2)) (((eq real) B) B2)))) of role axiom named fact_45_old_Oprod_Oinject
% 0.49/0.70 A new axiom: (forall (A:a) (B:real) (A2:a) (B2:real), (((eq Prop) (((eq product_prod_a_real) ((product_Pair_a_real A) B)) ((product_Pair_a_real A2) B2))) ((and (((eq a) A) A2)) (((eq real) B) B2))))
% 0.49/0.71 FOF formula (forall (A:a) (B:a) (A2:a) (B2:a), (((eq Prop) (((eq product_prod_a_a) ((product_Pair_a_a A) B)) ((product_Pair_a_a A2) B2))) ((and (((eq a) A) A2)) (((eq a) B) B2)))) of role axiom named fact_46_old_Oprod_Oinject
% 0.49/0.71 A new axiom: (forall (A:a) (B:a) (A2:a) (B2:a), (((eq Prop) (((eq product_prod_a_a) ((product_Pair_a_a A) B)) ((product_Pair_a_a A2) B2))) ((and (((eq a) A) A2)) (((eq a) B) B2))))
% 0.49/0.71 FOF formula (forall (A:produc957004601l_real) (C2:set_Pr147102617l_real) (B:produc957004601l_real) (D2:set_Pr147102617l_real), (((member1068169442l_real A) C2)->(((member1068169442l_real B) D2)->((member1068169442l_real ((plus_p77862768l_real A) B)) ((plus_p1708760016l_real C2) D2))))) of role axiom named fact_47_set__plus__intro
% 0.49/0.71 A new axiom: (forall (A:produc957004601l_real) (C2:set_Pr147102617l_real) (B:produc957004601l_real) (D2:set_Pr147102617l_real), (((member1068169442l_real A) C2)->(((member1068169442l_real B) D2)->((member1068169442l_real ((plus_p77862768l_real A) B)) ((plus_p1708760016l_real C2) D2)))))
% 0.49/0.71 FOF formula (forall (A:product_prod_a_real) (C2:set_Pr1928503567a_real) (B:product_prod_a_real) (D2:set_Pr1928503567a_real), (((member1103263856a_real A) C2)->(((member1103263856a_real B) D2)->((member1103263856a_real ((plus_p541014626a_real A) B)) ((plus_p130512152a_real C2) D2))))) of role axiom named fact_48_set__plus__intro
% 0.49/0.71 A new axiom: (forall (A:product_prod_a_real) (C2:set_Pr1928503567a_real) (B:product_prod_a_real) (D2:set_Pr1928503567a_real), (((member1103263856a_real A) C2)->(((member1103263856a_real B) D2)->((member1103263856a_real ((plus_p541014626a_real A) B)) ((plus_p130512152a_real C2) D2)))))
% 0.49/0.71 FOF formula (forall (A:set_Product_prod_a_a) (C2:set_se1596668135od_a_a) (B:set_Product_prod_a_a) (D2:set_se1596668135od_a_a), (((member1838126896od_a_a A) C2)->(((member1838126896od_a_a B) D2)->((member1838126896od_a_a ((plus_p634297534od_a_a A) B)) ((plus_p1613276318od_a_a C2) D2))))) of role axiom named fact_49_set__plus__intro
% 0.49/0.71 A new axiom: (forall (A:set_Product_prod_a_a) (C2:set_se1596668135od_a_a) (B:set_Product_prod_a_a) (D2:set_se1596668135od_a_a), (((member1838126896od_a_a A) C2)->(((member1838126896od_a_a B) D2)->((member1838126896od_a_a ((plus_p634297534od_a_a A) B)) ((plus_p1613276318od_a_a C2) D2)))))
% 0.49/0.71 FOF formula (forall (A:set_real) (C2:set_set_real) (B:set_real) (D2:set_set_real), (((member_set_real A) C2)->(((member_set_real B) D2)->((member_set_real ((plus_plus_set_real A) B)) ((plus_p768704801t_real C2) D2))))) of role axiom named fact_50_set__plus__intro
% 0.49/0.71 A new axiom: (forall (A:set_real) (C2:set_set_real) (B:set_real) (D2:set_set_real), (((member_set_real A) C2)->(((member_set_real B) D2)->((member_set_real ((plus_plus_set_real A) B)) ((plus_p768704801t_real C2) D2)))))
% 0.49/0.71 FOF formula (forall (A:set_a) (C2:set_set_a) (B:set_a) (D2:set_set_a), (((member_set_a A) C2)->(((member_set_a B) D2)->((member_set_a ((plus_plus_set_a A) B)) ((plus_plus_set_set_a C2) D2))))) of role axiom named fact_51_set__plus__intro
% 0.49/0.71 A new axiom: (forall (A:set_a) (C2:set_set_a) (B:set_a) (D2:set_set_a), (((member_set_a A) C2)->(((member_set_a B) D2)->((member_set_a ((plus_plus_set_a A) B)) ((plus_plus_set_set_a C2) D2)))))
% 0.49/0.71 FOF formula (forall (A:product_prod_a_a) (C2:set_Product_prod_a_a) (B:product_prod_a_a) (D2:set_Product_prod_a_a), (((member449909584od_a_a A) C2)->(((member449909584od_a_a B) D2)->((member449909584od_a_a ((plus_p1505579230od_a_a A) B)) ((plus_p634297534od_a_a C2) D2))))) of role axiom named fact_52_set__plus__intro
% 0.49/0.71 A new axiom: (forall (A:product_prod_a_a) (C2:set_Product_prod_a_a) (B:product_prod_a_a) (D2:set_Product_prod_a_a), (((member449909584od_a_a A) C2)->(((member449909584od_a_a B) D2)->((member449909584od_a_a ((plus_p1505579230od_a_a A) B)) ((plus_p634297534od_a_a C2) D2)))))
% 0.49/0.71 FOF formula (forall (A:a) (C2:set_a) (B:a) (D2:set_a), (((member_a A) C2)->(((member_a B) D2)->((member_a ((plus_plus_a A) B)) ((plus_plus_set_a C2) D2))))) of role axiom named fact_53_set__plus__intro
% 0.49/0.71 A new axiom: (forall (A:a) (C2:set_a) (B:a) (D2:set_a), (((member_a A) C2)->(((member_a B) D2)->((member_a ((plus_plus_a A) B)) ((plus_plus_set_a C2) D2)))))
% 0.57/0.73 FOF formula (forall (A:real) (C2:set_real) (B:real) (D2:set_real), (((member_real A) C2)->(((member_real B) D2)->((member_real ((plus_plus_real A) B)) ((plus_plus_set_real C2) D2))))) of role axiom named fact_54_set__plus__intro
% 0.57/0.73 A new axiom: (forall (A:real) (C2:set_real) (B:real) (D2:set_real), (((member_real A) C2)->(((member_real B) D2)->((member_real ((plus_plus_real A) B)) ((plus_plus_set_real C2) D2)))))
% 0.57/0.73 FOF formula (forall (A:product_prod_a_real) (B:product_prod_a_real) (C:product_prod_a_real), (((eq Prop) (((eq product_prod_a_real) ((plus_p541014626a_real A) B)) ((plus_p541014626a_real A) C))) (((eq product_prod_a_real) B) C))) of role axiom named fact_55_add__left__cancel
% 0.57/0.73 A new axiom: (forall (A:product_prod_a_real) (B:product_prod_a_real) (C:product_prod_a_real), (((eq Prop) (((eq product_prod_a_real) ((plus_p541014626a_real A) B)) ((plus_p541014626a_real A) C))) (((eq product_prod_a_real) B) C)))
% 0.57/0.73 FOF formula (forall (A:product_prod_a_a) (B:product_prod_a_a) (C:product_prod_a_a), (((eq Prop) (((eq product_prod_a_a) ((plus_p1505579230od_a_a A) B)) ((plus_p1505579230od_a_a A) C))) (((eq product_prod_a_a) B) C))) of role axiom named fact_56_add__left__cancel
% 0.57/0.73 A new axiom: (forall (A:product_prod_a_a) (B:product_prod_a_a) (C:product_prod_a_a), (((eq Prop) (((eq product_prod_a_a) ((plus_p1505579230od_a_a A) B)) ((plus_p1505579230od_a_a A) C))) (((eq product_prod_a_a) B) C)))
% 0.57/0.73 FOF formula (forall (A:a) (B:a) (C:a), (((eq Prop) (((eq a) ((plus_plus_a A) B)) ((plus_plus_a A) C))) (((eq a) B) C))) of role axiom named fact_57_add__left__cancel
% 0.57/0.73 A new axiom: (forall (A:a) (B:a) (C:a), (((eq Prop) (((eq a) ((plus_plus_a A) B)) ((plus_plus_a A) C))) (((eq a) B) C)))
% 0.57/0.73 FOF formula (forall (A:real) (B:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real A) B)) ((plus_plus_real A) C))) (((eq real) B) C))) of role axiom named fact_58_add__left__cancel
% 0.57/0.73 A new axiom: (forall (A:real) (B:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real A) B)) ((plus_plus_real A) C))) (((eq real) B) C)))
% 0.57/0.73 FOF formula (forall (B:product_prod_a_real) (A:product_prod_a_real) (C:product_prod_a_real), (((eq Prop) (((eq product_prod_a_real) ((plus_p541014626a_real B) A)) ((plus_p541014626a_real C) A))) (((eq product_prod_a_real) B) C))) of role axiom named fact_59_add__right__cancel
% 0.57/0.73 A new axiom: (forall (B:product_prod_a_real) (A:product_prod_a_real) (C:product_prod_a_real), (((eq Prop) (((eq product_prod_a_real) ((plus_p541014626a_real B) A)) ((plus_p541014626a_real C) A))) (((eq product_prod_a_real) B) C)))
% 0.57/0.73 FOF formula (forall (B:product_prod_a_a) (A:product_prod_a_a) (C:product_prod_a_a), (((eq Prop) (((eq product_prod_a_a) ((plus_p1505579230od_a_a B) A)) ((plus_p1505579230od_a_a C) A))) (((eq product_prod_a_a) B) C))) of role axiom named fact_60_add__right__cancel
% 0.57/0.73 A new axiom: (forall (B:product_prod_a_a) (A:product_prod_a_a) (C:product_prod_a_a), (((eq Prop) (((eq product_prod_a_a) ((plus_p1505579230od_a_a B) A)) ((plus_p1505579230od_a_a C) A))) (((eq product_prod_a_a) B) C)))
% 0.57/0.73 FOF formula (forall (B:a) (A:a) (C:a), (((eq Prop) (((eq a) ((plus_plus_a B) A)) ((plus_plus_a C) A))) (((eq a) B) C))) of role axiom named fact_61_add__right__cancel
% 0.57/0.73 A new axiom: (forall (B:a) (A:a) (C:a), (((eq Prop) (((eq a) ((plus_plus_a B) A)) ((plus_plus_a C) A))) (((eq a) B) C)))
% 0.57/0.73 FOF formula (forall (B:real) (A:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real B) A)) ((plus_plus_real C) A))) (((eq real) B) C))) of role axiom named fact_62_add__right__cancel
% 0.57/0.73 A new axiom: (forall (B:real) (A:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real B) A)) ((plus_plus_real C) A))) (((eq real) B) C)))
% 0.57/0.73 FOF formula (forall (C:real) (X:real) (W:real) (D:real) (Z:real), (((eq real) ((plus_plus_real ((plus_plus_real ((real_V453051771R_real C) X)) W)) ((plus_plus_real ((real_V453051771R_real D) X)) Z))) ((plus_plus_real ((real_V453051771R_real ((plus_plus_real C) D)) X)) ((plus_plus_real W) Z)))) of role axiom named fact_63_pth__9_I3_J
% 0.57/0.73 A new axiom: (forall (C:real) (X:real) (W:real) (D:real) (Z:real), (((eq real) ((plus_plus_real ((plus_plus_real ((real_V453051771R_real C) X)) W)) ((plus_plus_real ((real_V453051771R_real D) X)) Z))) ((plus_plus_real ((real_V453051771R_real ((plus_plus_real C) D)) X)) ((plus_plus_real W) Z))))
% 0.57/0.74 FOF formula (forall (A:produc957004601l_real) (C:produc957004601l_real) (B:produc957004601l_real), (((eq Prop) ((ord_le1342644953l_real ((plus_p77862768l_real A) C)) ((plus_p77862768l_real B) C))) ((ord_le1342644953l_real A) B))) of role axiom named fact_64_add__le__cancel__right
% 0.57/0.74 A new axiom: (forall (A:produc957004601l_real) (C:produc957004601l_real) (B:produc957004601l_real), (((eq Prop) ((ord_le1342644953l_real ((plus_p77862768l_real A) C)) ((plus_p77862768l_real B) C))) ((ord_le1342644953l_real A) B)))
% 0.57/0.74 FOF formula (forall (A:real) (C:real) (B:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real A) C)) ((plus_plus_real B) C))) ((ord_less_eq_real A) B))) of role axiom named fact_65_add__le__cancel__right
% 0.57/0.74 A new axiom: (forall (A:real) (C:real) (B:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real A) C)) ((plus_plus_real B) C))) ((ord_less_eq_real A) B)))
% 0.57/0.74 FOF formula (forall (C:produc957004601l_real) (A:produc957004601l_real) (B:produc957004601l_real), (((eq Prop) ((ord_le1342644953l_real ((plus_p77862768l_real C) A)) ((plus_p77862768l_real C) B))) ((ord_le1342644953l_real A) B))) of role axiom named fact_66_add__le__cancel__left
% 0.57/0.74 A new axiom: (forall (C:produc957004601l_real) (A:produc957004601l_real) (B:produc957004601l_real), (((eq Prop) ((ord_le1342644953l_real ((plus_p77862768l_real C) A)) ((plus_p77862768l_real C) B))) ((ord_le1342644953l_real A) B)))
% 0.57/0.74 FOF formula (forall (C:real) (A:real) (B:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real C) A)) ((plus_plus_real C) B))) ((ord_less_eq_real A) B))) of role axiom named fact_67_add__le__cancel__left
% 0.57/0.74 A new axiom: (forall (C:real) (A:real) (B:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real C) A)) ((plus_plus_real C) B))) ((ord_less_eq_real A) B)))
% 0.57/0.74 FOF formula (forall (A:product_prod_a_real) (B:product_prod_a_real), (((eq Prop) (((eq product_prod_a_real) A) ((plus_p541014626a_real A) B))) (((eq product_prod_a_real) B) zero_z705155042a_real))) of role axiom named fact_68_add__cancel__right__right
% 0.57/0.74 A new axiom: (forall (A:product_prod_a_real) (B:product_prod_a_real), (((eq Prop) (((eq product_prod_a_real) A) ((plus_p541014626a_real A) B))) (((eq product_prod_a_real) B) zero_z705155042a_real)))
% 0.57/0.74 FOF formula (forall (A:produc957004601l_real) (B:produc957004601l_real), (((eq Prop) (((eq produc957004601l_real) A) ((plus_p77862768l_real A) B))) (((eq produc957004601l_real) B) zero_z659284464l_real))) of role axiom named fact_69_add__cancel__right__right
% 0.57/0.74 A new axiom: (forall (A:produc957004601l_real) (B:produc957004601l_real), (((eq Prop) (((eq produc957004601l_real) A) ((plus_p77862768l_real A) B))) (((eq produc957004601l_real) B) zero_z659284464l_real)))
% 0.57/0.74 FOF formula (forall (A:product_prod_a_a) (B:product_prod_a_a), (((eq Prop) (((eq product_prod_a_a) A) ((plus_p1505579230od_a_a A) B))) (((eq product_prod_a_a) B) zero_z950819678od_a_a))) of role axiom named fact_70_add__cancel__right__right
% 0.57/0.74 A new axiom: (forall (A:product_prod_a_a) (B:product_prod_a_a), (((eq Prop) (((eq product_prod_a_a) A) ((plus_p1505579230od_a_a A) B))) (((eq product_prod_a_a) B) zero_z950819678od_a_a)))
% 0.57/0.74 FOF formula (forall (A:a) (B:a), (((eq Prop) (((eq a) A) ((plus_plus_a A) B))) (((eq a) B) zero_zero_a))) of role axiom named fact_71_add__cancel__right__right
% 0.57/0.74 A new axiom: (forall (A:a) (B:a), (((eq Prop) (((eq a) A) ((plus_plus_a A) B))) (((eq a) B) zero_zero_a)))
% 0.57/0.74 FOF formula (forall (A:real) (B:real), (((eq Prop) (((eq real) A) ((plus_plus_real A) B))) (((eq real) B) zero_zero_real))) of role axiom named fact_72_add__cancel__right__right
% 0.57/0.74 A new axiom: (forall (A:real) (B:real), (((eq Prop) (((eq real) A) ((plus_plus_real A) B))) (((eq real) B) zero_zero_real)))
% 0.57/0.74 FOF formula (forall (A:product_prod_a_real) (B:product_prod_a_real), (((eq Prop) (((eq product_prod_a_real) A) ((plus_p541014626a_real B) A))) (((eq product_prod_a_real) B) zero_z705155042a_real))) of role axiom named fact_73_add__cancel__right__left
% 0.57/0.75 A new axiom: (forall (A:product_prod_a_real) (B:product_prod_a_real), (((eq Prop) (((eq product_prod_a_real) A) ((plus_p541014626a_real B) A))) (((eq product_prod_a_real) B) zero_z705155042a_real)))
% 0.57/0.75 FOF formula (forall (A:produc957004601l_real) (B:produc957004601l_real), (((eq Prop) (((eq produc957004601l_real) A) ((plus_p77862768l_real B) A))) (((eq produc957004601l_real) B) zero_z659284464l_real))) of role axiom named fact_74_add__cancel__right__left
% 0.57/0.75 A new axiom: (forall (A:produc957004601l_real) (B:produc957004601l_real), (((eq Prop) (((eq produc957004601l_real) A) ((plus_p77862768l_real B) A))) (((eq produc957004601l_real) B) zero_z659284464l_real)))
% 0.57/0.75 FOF formula (forall (A:product_prod_a_a) (B:product_prod_a_a), (((eq Prop) (((eq product_prod_a_a) A) ((plus_p1505579230od_a_a B) A))) (((eq product_prod_a_a) B) zero_z950819678od_a_a))) of role axiom named fact_75_add__cancel__right__left
% 0.57/0.75 A new axiom: (forall (A:product_prod_a_a) (B:product_prod_a_a), (((eq Prop) (((eq product_prod_a_a) A) ((plus_p1505579230od_a_a B) A))) (((eq product_prod_a_a) B) zero_z950819678od_a_a)))
% 0.57/0.75 FOF formula (forall (A:a) (B:a), (((eq Prop) (((eq a) A) ((plus_plus_a B) A))) (((eq a) B) zero_zero_a))) of role axiom named fact_76_add__cancel__right__left
% 0.57/0.75 A new axiom: (forall (A:a) (B:a), (((eq Prop) (((eq a) A) ((plus_plus_a B) A))) (((eq a) B) zero_zero_a)))
% 0.57/0.75 FOF formula (forall (A:real) (B:real), (((eq Prop) (((eq real) A) ((plus_plus_real B) A))) (((eq real) B) zero_zero_real))) of role axiom named fact_77_add__cancel__right__left
% 0.57/0.75 A new axiom: (forall (A:real) (B:real), (((eq Prop) (((eq real) A) ((plus_plus_real B) A))) (((eq real) B) zero_zero_real)))
% 0.57/0.75 FOF formula (forall (A:product_prod_a_real) (B:product_prod_a_real), (((eq Prop) (((eq product_prod_a_real) ((plus_p541014626a_real A) B)) A)) (((eq product_prod_a_real) B) zero_z705155042a_real))) of role axiom named fact_78_add__cancel__left__right
% 0.57/0.75 A new axiom: (forall (A:product_prod_a_real) (B:product_prod_a_real), (((eq Prop) (((eq product_prod_a_real) ((plus_p541014626a_real A) B)) A)) (((eq product_prod_a_real) B) zero_z705155042a_real)))
% 0.57/0.75 FOF formula (forall (A:produc957004601l_real) (B:produc957004601l_real), (((eq Prop) (((eq produc957004601l_real) ((plus_p77862768l_real A) B)) A)) (((eq produc957004601l_real) B) zero_z659284464l_real))) of role axiom named fact_79_add__cancel__left__right
% 0.57/0.75 A new axiom: (forall (A:produc957004601l_real) (B:produc957004601l_real), (((eq Prop) (((eq produc957004601l_real) ((plus_p77862768l_real A) B)) A)) (((eq produc957004601l_real) B) zero_z659284464l_real)))
% 0.57/0.75 FOF formula (forall (A:product_prod_a_a) (B:product_prod_a_a), (((eq Prop) (((eq product_prod_a_a) ((plus_p1505579230od_a_a A) B)) A)) (((eq product_prod_a_a) B) zero_z950819678od_a_a))) of role axiom named fact_80_add__cancel__left__right
% 0.57/0.75 A new axiom: (forall (A:product_prod_a_a) (B:product_prod_a_a), (((eq Prop) (((eq product_prod_a_a) ((plus_p1505579230od_a_a A) B)) A)) (((eq product_prod_a_a) B) zero_z950819678od_a_a)))
% 0.57/0.75 FOF formula (forall (A:a) (B:a), (((eq Prop) (((eq a) ((plus_plus_a A) B)) A)) (((eq a) B) zero_zero_a))) of role axiom named fact_81_add__cancel__left__right
% 0.57/0.75 A new axiom: (forall (A:a) (B:a), (((eq Prop) (((eq a) ((plus_plus_a A) B)) A)) (((eq a) B) zero_zero_a)))
% 0.57/0.75 FOF formula (forall (A:real) (B:real), (((eq Prop) (((eq real) ((plus_plus_real A) B)) A)) (((eq real) B) zero_zero_real))) of role axiom named fact_82_add__cancel__left__right
% 0.57/0.75 A new axiom: (forall (A:real) (B:real), (((eq Prop) (((eq real) ((plus_plus_real A) B)) A)) (((eq real) B) zero_zero_real)))
% 0.57/0.75 FOF formula (forall (B:product_prod_a_real) (A:product_prod_a_real), (((eq Prop) (((eq product_prod_a_real) ((plus_p541014626a_real B) A)) A)) (((eq product_prod_a_real) B) zero_z705155042a_real))) of role axiom named fact_83_add__cancel__left__left
% 0.57/0.75 A new axiom: (forall (B:product_prod_a_real) (A:product_prod_a_real), (((eq Prop) (((eq product_prod_a_real) ((plus_p541014626a_real B) A)) A)) (((eq product_prod_a_real) B) zero_z705155042a_real)))
% 0.57/0.75 FOF formula (forall (B:produc957004601l_real) (A:produc957004601l_real), (((eq Prop) (((eq produc957004601l_real) ((plus_p77862768l_real B) A)) A)) (((eq produc957004601l_real) B) zero_z659284464l_real))) of role axiom named fact_84_add__cancel__left__left
% 0.57/0.76 A new axiom: (forall (B:produc957004601l_real) (A:produc957004601l_real), (((eq Prop) (((eq produc957004601l_real) ((plus_p77862768l_real B) A)) A)) (((eq produc957004601l_real) B) zero_z659284464l_real)))
% 0.57/0.76 FOF formula (forall (B:product_prod_a_a) (A:product_prod_a_a), (((eq Prop) (((eq product_prod_a_a) ((plus_p1505579230od_a_a B) A)) A)) (((eq product_prod_a_a) B) zero_z950819678od_a_a))) of role axiom named fact_85_add__cancel__left__left
% 0.57/0.76 A new axiom: (forall (B:product_prod_a_a) (A:product_prod_a_a), (((eq Prop) (((eq product_prod_a_a) ((plus_p1505579230od_a_a B) A)) A)) (((eq product_prod_a_a) B) zero_z950819678od_a_a)))
% 0.57/0.76 FOF formula (forall (B:a) (A:a), (((eq Prop) (((eq a) ((plus_plus_a B) A)) A)) (((eq a) B) zero_zero_a))) of role axiom named fact_86_add__cancel__left__left
% 0.57/0.76 A new axiom: (forall (B:a) (A:a), (((eq Prop) (((eq a) ((plus_plus_a B) A)) A)) (((eq a) B) zero_zero_a)))
% 0.57/0.76 FOF formula (forall (B:real) (A:real), (((eq Prop) (((eq real) ((plus_plus_real B) A)) A)) (((eq real) B) zero_zero_real))) of role axiom named fact_87_add__cancel__left__left
% 0.57/0.76 A new axiom: (forall (B:real) (A:real), (((eq Prop) (((eq real) ((plus_plus_real B) A)) A)) (((eq real) B) zero_zero_real)))
% 0.57/0.76 FOF formula (forall (A:real), (((eq Prop) (((eq real) zero_zero_real) ((plus_plus_real A) A))) (((eq real) A) zero_zero_real))) of role axiom named fact_88_double__zero__sym
% 0.57/0.76 A new axiom: (forall (A:real), (((eq Prop) (((eq real) zero_zero_real) ((plus_plus_real A) A))) (((eq real) A) zero_zero_real)))
% 0.57/0.76 FOF formula (forall (A:real), (((eq Prop) (((eq real) ((plus_plus_real A) A)) zero_zero_real)) (((eq real) A) zero_zero_real))) of role axiom named fact_89_double__zero
% 0.57/0.76 A new axiom: (forall (A:real), (((eq Prop) (((eq real) ((plus_plus_real A) A)) zero_zero_real)) (((eq real) A) zero_zero_real)))
% 0.57/0.76 FOF formula (forall (A:product_prod_a_real), (((eq product_prod_a_real) ((plus_p541014626a_real A) zero_z705155042a_real)) A)) of role axiom named fact_90_add_Oright__neutral
% 0.57/0.76 A new axiom: (forall (A:product_prod_a_real), (((eq product_prod_a_real) ((plus_p541014626a_real A) zero_z705155042a_real)) A))
% 0.57/0.76 FOF formula (forall (A:set_Product_prod_a_a), (((eq set_Product_prod_a_a) ((plus_p634297534od_a_a A) zero_z257140542od_a_a)) A)) of role axiom named fact_91_add_Oright__neutral
% 0.57/0.76 A new axiom: (forall (A:set_Product_prod_a_a), (((eq set_Product_prod_a_a) ((plus_p634297534od_a_a A) zero_z257140542od_a_a)) A))
% 0.57/0.76 FOF formula (forall (A:set_real), (((eq set_real) ((plus_plus_set_real A) zero_zero_set_real)) A)) of role axiom named fact_92_add_Oright__neutral
% 0.57/0.76 A new axiom: (forall (A:set_real), (((eq set_real) ((plus_plus_set_real A) zero_zero_set_real)) A))
% 0.57/0.76 FOF formula (forall (A:set_a), (((eq set_a) ((plus_plus_set_a A) zero_zero_set_a)) A)) of role axiom named fact_93_add_Oright__neutral
% 0.57/0.76 A new axiom: (forall (A:set_a), (((eq set_a) ((plus_plus_set_a A) zero_zero_set_a)) A))
% 0.57/0.76 FOF formula (forall (A:produc957004601l_real), (((eq produc957004601l_real) ((plus_p77862768l_real A) zero_z659284464l_real)) A)) of role axiom named fact_94_add_Oright__neutral
% 0.57/0.76 A new axiom: (forall (A:produc957004601l_real), (((eq produc957004601l_real) ((plus_p77862768l_real A) zero_z659284464l_real)) A))
% 0.57/0.76 FOF formula (forall (A:product_prod_a_a), (((eq product_prod_a_a) ((plus_p1505579230od_a_a A) zero_z950819678od_a_a)) A)) of role axiom named fact_95_add_Oright__neutral
% 0.57/0.76 A new axiom: (forall (A:product_prod_a_a), (((eq product_prod_a_a) ((plus_p1505579230od_a_a A) zero_z950819678od_a_a)) A))
% 0.57/0.76 FOF formula (forall (A:a), (((eq a) ((plus_plus_a A) zero_zero_a)) A)) of role axiom named fact_96_add_Oright__neutral
% 0.57/0.76 A new axiom: (forall (A:a), (((eq a) ((plus_plus_a A) zero_zero_a)) A))
% 0.57/0.76 FOF formula (forall (A:real), (((eq real) ((plus_plus_real A) zero_zero_real)) A)) of role axiom named fact_97_add_Oright__neutral
% 0.57/0.76 A new axiom: (forall (A:real), (((eq real) ((plus_plus_real A) zero_zero_real)) A))
% 0.57/0.77 FOF formula (forall (A:product_prod_a_real), (((eq product_prod_a_real) ((plus_p541014626a_real zero_z705155042a_real) A)) A)) of role axiom named fact_98_add_Oleft__neutral
% 0.57/0.77 A new axiom: (forall (A:product_prod_a_real), (((eq product_prod_a_real) ((plus_p541014626a_real zero_z705155042a_real) A)) A))
% 0.57/0.77 FOF formula (forall (A:set_Product_prod_a_a), (((eq set_Product_prod_a_a) ((plus_p634297534od_a_a zero_z257140542od_a_a) A)) A)) of role axiom named fact_99_add_Oleft__neutral
% 0.57/0.77 A new axiom: (forall (A:set_Product_prod_a_a), (((eq set_Product_prod_a_a) ((plus_p634297534od_a_a zero_z257140542od_a_a) A)) A))
% 0.57/0.77 FOF formula (forall (A:set_real), (((eq set_real) ((plus_plus_set_real zero_zero_set_real) A)) A)) of role axiom named fact_100_add_Oleft__neutral
% 0.57/0.77 A new axiom: (forall (A:set_real), (((eq set_real) ((plus_plus_set_real zero_zero_set_real) A)) A))
% 0.57/0.77 FOF formula (forall (A:set_a), (((eq set_a) ((plus_plus_set_a zero_zero_set_a) A)) A)) of role axiom named fact_101_add_Oleft__neutral
% 0.57/0.77 A new axiom: (forall (A:set_a), (((eq set_a) ((plus_plus_set_a zero_zero_set_a) A)) A))
% 0.57/0.77 FOF formula (forall (A:produc957004601l_real), (((eq produc957004601l_real) ((plus_p77862768l_real zero_z659284464l_real) A)) A)) of role axiom named fact_102_add_Oleft__neutral
% 0.57/0.77 A new axiom: (forall (A:produc957004601l_real), (((eq produc957004601l_real) ((plus_p77862768l_real zero_z659284464l_real) A)) A))
% 0.57/0.77 FOF formula (forall (A:product_prod_a_a), (((eq product_prod_a_a) ((plus_p1505579230od_a_a zero_z950819678od_a_a) A)) A)) of role axiom named fact_103_add_Oleft__neutral
% 0.57/0.77 A new axiom: (forall (A:product_prod_a_a), (((eq product_prod_a_a) ((plus_p1505579230od_a_a zero_z950819678od_a_a) A)) A))
% 0.57/0.77 FOF formula (forall (A:a), (((eq a) ((plus_plus_a zero_zero_a) A)) A)) of role axiom named fact_104_add_Oleft__neutral
% 0.57/0.77 A new axiom: (forall (A:a), (((eq a) ((plus_plus_a zero_zero_a) A)) A))
% 0.57/0.77 FOF formula (forall (A:real), (((eq real) ((plus_plus_real zero_zero_real) A)) A)) of role axiom named fact_105_add_Oleft__neutral
% 0.57/0.77 A new axiom: (forall (A:real), (((eq real) ((plus_plus_real zero_zero_real) A)) A))
% 0.57/0.77 FOF formula (forall (A:real), (((eq Prop) ((ord_less_eq_real zero_zero_real) ((plus_plus_real A) A))) ((ord_less_eq_real zero_zero_real) A))) of role axiom named fact_106_zero__le__double__add__iff__zero__le__single__add
% 0.57/0.77 A new axiom: (forall (A:real), (((eq Prop) ((ord_less_eq_real zero_zero_real) ((plus_plus_real A) A))) ((ord_less_eq_real zero_zero_real) A)))
% 0.57/0.77 FOF formula (forall (A:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real A) A)) zero_zero_real)) ((ord_less_eq_real A) zero_zero_real))) of role axiom named fact_107_double__add__le__zero__iff__single__add__le__zero
% 0.57/0.77 A new axiom: (forall (A:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real A) A)) zero_zero_real)) ((ord_less_eq_real A) zero_zero_real)))
% 0.57/0.77 FOF formula (forall (A:produc957004601l_real) (B:produc957004601l_real), (((eq Prop) ((ord_le1342644953l_real A) ((plus_p77862768l_real B) A))) ((ord_le1342644953l_real zero_z659284464l_real) B))) of role axiom named fact_108_le__add__same__cancel2
% 0.57/0.77 A new axiom: (forall (A:produc957004601l_real) (B:produc957004601l_real), (((eq Prop) ((ord_le1342644953l_real A) ((plus_p77862768l_real B) A))) ((ord_le1342644953l_real zero_z659284464l_real) B)))
% 0.57/0.77 FOF formula (forall (A:real) (B:real), (((eq Prop) ((ord_less_eq_real A) ((plus_plus_real B) A))) ((ord_less_eq_real zero_zero_real) B))) of role axiom named fact_109_le__add__same__cancel2
% 0.57/0.77 A new axiom: (forall (A:real) (B:real), (((eq Prop) ((ord_less_eq_real A) ((plus_plus_real B) A))) ((ord_less_eq_real zero_zero_real) B)))
% 0.57/0.77 FOF formula (forall (A:produc957004601l_real) (B:produc957004601l_real), (((eq Prop) ((ord_le1342644953l_real A) ((plus_p77862768l_real A) B))) ((ord_le1342644953l_real zero_z659284464l_real) B))) of role axiom named fact_110_le__add__same__cancel1
% 0.57/0.77 A new axiom: (forall (A:produc957004601l_real) (B:produc957004601l_real), (((eq Prop) ((ord_le1342644953l_real A) ((plus_p77862768l_real A) B))) ((ord_le1342644953l_real zero_z659284464l_real) B)))
% 0.57/0.77 FOF formula (forall (A:real) (B:real), (((eq Prop) ((ord_less_eq_real A) ((plus_plus_real A) B))) ((ord_less_eq_real zero_zero_real) B))) of role axiom named fact_111_le__add__same__cancel1
% 0.57/0.77 A new axiom: (forall (A:real) (B:real), (((eq Prop) ((ord_less_eq_real A) ((plus_plus_real A) B))) ((ord_less_eq_real zero_zero_real) B)))
% 0.57/0.77 FOF formula (forall (A:produc957004601l_real) (B:produc957004601l_real), (((eq Prop) ((ord_le1342644953l_real ((plus_p77862768l_real A) B)) B)) ((ord_le1342644953l_real A) zero_z659284464l_real))) of role axiom named fact_112_add__le__same__cancel2
% 0.57/0.77 A new axiom: (forall (A:produc957004601l_real) (B:produc957004601l_real), (((eq Prop) ((ord_le1342644953l_real ((plus_p77862768l_real A) B)) B)) ((ord_le1342644953l_real A) zero_z659284464l_real)))
% 0.57/0.77 FOF formula (forall (A:real) (B:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real A) B)) B)) ((ord_less_eq_real A) zero_zero_real))) of role axiom named fact_113_add__le__same__cancel2
% 0.57/0.77 A new axiom: (forall (A:real) (B:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real A) B)) B)) ((ord_less_eq_real A) zero_zero_real)))
% 0.57/0.77 FOF formula (forall (B:produc957004601l_real) (A:produc957004601l_real), (((eq Prop) ((ord_le1342644953l_real ((plus_p77862768l_real B) A)) B)) ((ord_le1342644953l_real A) zero_z659284464l_real))) of role axiom named fact_114_add__le__same__cancel1
% 0.57/0.77 A new axiom: (forall (B:produc957004601l_real) (A:produc957004601l_real), (((eq Prop) ((ord_le1342644953l_real ((plus_p77862768l_real B) A)) B)) ((ord_le1342644953l_real A) zero_z659284464l_real)))
% 0.57/0.77 FOF formula (forall (B:real) (A:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real B) A)) B)) ((ord_less_eq_real A) zero_zero_real))) of role axiom named fact_115_add__le__same__cancel1
% 0.57/0.77 A new axiom: (forall (B:real) (A:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real B) A)) B)) ((ord_less_eq_real A) zero_zero_real)))
% 0.57/0.77 FOF formula (forall (X:real), (((eq Prop) (((eq real) one_one_real) X)) (((eq real) X) one_one_real))) of role axiom named fact_116_one__reorient
% 0.57/0.77 A new axiom: (forall (X:real), (((eq Prop) (((eq real) one_one_real) X)) (((eq real) X) one_one_real)))
% 0.57/0.77 FOF formula (forall (X:a), (((eq Prop) (((eq a) zero_zero_a) X)) (((eq a) X) zero_zero_a))) of role axiom named fact_117_zero__reorient
% 0.57/0.77 A new axiom: (forall (X:a), (((eq Prop) (((eq a) zero_zero_a) X)) (((eq a) X) zero_zero_a)))
% 0.57/0.77 FOF formula (forall (X:produc957004601l_real), (((eq Prop) (((eq produc957004601l_real) zero_z659284464l_real) X)) (((eq produc957004601l_real) X) zero_z659284464l_real))) of role axiom named fact_118_zero__reorient
% 0.57/0.77 A new axiom: (forall (X:produc957004601l_real), (((eq Prop) (((eq produc957004601l_real) zero_z659284464l_real) X)) (((eq produc957004601l_real) X) zero_z659284464l_real)))
% 0.57/0.77 FOF formula (forall (X:product_prod_a_a), (((eq Prop) (((eq product_prod_a_a) zero_z950819678od_a_a) X)) (((eq product_prod_a_a) X) zero_z950819678od_a_a))) of role axiom named fact_119_zero__reorient
% 0.57/0.77 A new axiom: (forall (X:product_prod_a_a), (((eq Prop) (((eq product_prod_a_a) zero_z950819678od_a_a) X)) (((eq product_prod_a_a) X) zero_z950819678od_a_a)))
% 0.57/0.77 FOF formula (forall (X:real), (((eq Prop) (((eq real) zero_zero_real) X)) (((eq real) X) zero_zero_real))) of role axiom named fact_120_zero__reorient
% 0.57/0.77 A new axiom: (forall (X:real), (((eq Prop) (((eq real) zero_zero_real) X)) (((eq real) X) zero_zero_real)))
% 0.57/0.77 FOF formula (forall (X:produc957004601l_real) (Y:produc957004601l_real), (((ord_le1342644953l_real X) zero_z659284464l_real)->(((ord_le1342644953l_real Y) zero_z659284464l_real)->(((eq Prop) (((eq produc957004601l_real) ((plus_p77862768l_real X) Y)) zero_z659284464l_real)) ((and (((eq produc957004601l_real) X) zero_z659284464l_real)) (((eq produc957004601l_real) Y) zero_z659284464l_real)))))) of role axiom named fact_121_add__nonpos__eq__0__iff
% 0.57/0.77 A new axiom: (forall (X:produc957004601l_real) (Y:produc957004601l_real), (((ord_le1342644953l_real X) zero_z659284464l_real)->(((ord_le1342644953l_real Y) zero_z659284464l_real)->(((eq Prop) (((eq produc957004601l_real) ((plus_p77862768l_real X) Y)) zero_z659284464l_real)) ((and (((eq produc957004601l_real) X) zero_z659284464l_real)) (((eq produc957004601l_real) Y) zero_z659284464l_real))))))
% 0.64/0.79 FOF formula (forall (X:real) (Y:real), (((ord_less_eq_real X) zero_zero_real)->(((ord_less_eq_real Y) zero_zero_real)->(((eq Prop) (((eq real) ((plus_plus_real X) Y)) zero_zero_real)) ((and (((eq real) X) zero_zero_real)) (((eq real) Y) zero_zero_real)))))) of role axiom named fact_122_add__nonpos__eq__0__iff
% 0.64/0.79 A new axiom: (forall (X:real) (Y:real), (((ord_less_eq_real X) zero_zero_real)->(((ord_less_eq_real Y) zero_zero_real)->(((eq Prop) (((eq real) ((plus_plus_real X) Y)) zero_zero_real)) ((and (((eq real) X) zero_zero_real)) (((eq real) Y) zero_zero_real))))))
% 0.64/0.79 FOF formula (forall (A:real) (P:(real->Prop)), (((eq Prop) ((member_real A) (collect_real P))) (P A))) of role axiom named fact_123_mem__Collect__eq
% 0.64/0.79 A new axiom: (forall (A:real) (P:(real->Prop)), (((eq Prop) ((member_real A) (collect_real P))) (P A)))
% 0.64/0.79 FOF formula (forall (A:a) (P:(a->Prop)), (((eq Prop) ((member_a A) (collect_a P))) (P A))) of role axiom named fact_124_mem__Collect__eq
% 0.64/0.79 A new axiom: (forall (A:a) (P:(a->Prop)), (((eq Prop) ((member_a A) (collect_a P))) (P A)))
% 0.64/0.79 FOF formula (forall (A:produc957004601l_real) (P:(produc957004601l_real->Prop)), (((eq Prop) ((member1068169442l_real A) (collec1300223524l_real P))) (P A))) of role axiom named fact_125_mem__Collect__eq
% 0.64/0.79 A new axiom: (forall (A:produc957004601l_real) (P:(produc957004601l_real->Prop)), (((eq Prop) ((member1068169442l_real A) (collec1300223524l_real P))) (P A)))
% 0.64/0.79 FOF formula (forall (A:product_prod_a_a) (P:(product_prod_a_a->Prop)), (((eq Prop) ((member449909584od_a_a A) (collec645855634od_a_a P))) (P A))) of role axiom named fact_126_mem__Collect__eq
% 0.64/0.79 A new axiom: (forall (A:product_prod_a_a) (P:(product_prod_a_a->Prop)), (((eq Prop) ((member449909584od_a_a A) (collec645855634od_a_a P))) (P A)))
% 0.64/0.79 FOF formula (forall (A3:set_real), (((eq set_real) (collect_real (fun (X3:real)=> ((member_real X3) A3)))) A3)) of role axiom named fact_127_Collect__mem__eq
% 0.64/0.79 A new axiom: (forall (A3:set_real), (((eq set_real) (collect_real (fun (X3:real)=> ((member_real X3) A3)))) A3))
% 0.64/0.79 FOF formula (forall (A3:set_a), (((eq set_a) (collect_a (fun (X3:a)=> ((member_a X3) A3)))) A3)) of role axiom named fact_128_Collect__mem__eq
% 0.64/0.79 A new axiom: (forall (A3:set_a), (((eq set_a) (collect_a (fun (X3:a)=> ((member_a X3) A3)))) A3))
% 0.64/0.79 FOF formula (forall (A3:set_Pr147102617l_real), (((eq set_Pr147102617l_real) (collec1300223524l_real (fun (X3:produc957004601l_real)=> ((member1068169442l_real X3) A3)))) A3)) of role axiom named fact_129_Collect__mem__eq
% 0.64/0.79 A new axiom: (forall (A3:set_Pr147102617l_real), (((eq set_Pr147102617l_real) (collec1300223524l_real (fun (X3:produc957004601l_real)=> ((member1068169442l_real X3) A3)))) A3))
% 0.64/0.79 FOF formula (forall (A3:set_Product_prod_a_a), (((eq set_Product_prod_a_a) (collec645855634od_a_a (fun (X3:product_prod_a_a)=> ((member449909584od_a_a X3) A3)))) A3)) of role axiom named fact_130_Collect__mem__eq
% 0.64/0.79 A new axiom: (forall (A3:set_Product_prod_a_a), (((eq set_Product_prod_a_a) (collec645855634od_a_a (fun (X3:product_prod_a_a)=> ((member449909584od_a_a X3) A3)))) A3))
% 0.64/0.79 FOF formula (forall (P:(product_prod_a_a->Prop)) (Q:(product_prod_a_a->Prop)), ((forall (X4:product_prod_a_a), (((eq Prop) (P X4)) (Q X4)))->(((eq set_Product_prod_a_a) (collec645855634od_a_a P)) (collec645855634od_a_a Q)))) of role axiom named fact_131_Collect__cong
% 0.64/0.79 A new axiom: (forall (P:(product_prod_a_a->Prop)) (Q:(product_prod_a_a->Prop)), ((forall (X4:product_prod_a_a), (((eq Prop) (P X4)) (Q X4)))->(((eq set_Product_prod_a_a) (collec645855634od_a_a P)) (collec645855634od_a_a Q))))
% 0.64/0.79 FOF formula (forall (X:produc957004601l_real) (Y:produc957004601l_real), (((ord_le1342644953l_real zero_z659284464l_real) X)->(((ord_le1342644953l_real zero_z659284464l_real) Y)->(((eq Prop) (((eq produc957004601l_real) ((plus_p77862768l_real X) Y)) zero_z659284464l_real)) ((and (((eq produc957004601l_real) X) zero_z659284464l_real)) (((eq produc957004601l_real) Y) zero_z659284464l_real)))))) of role axiom named fact_132_add__nonneg__eq__0__iff
% 0.64/0.79 A new axiom: (forall (X:produc957004601l_real) (Y:produc957004601l_real), (((ord_le1342644953l_real zero_z659284464l_real) X)->(((ord_le1342644953l_real zero_z659284464l_real) Y)->(((eq Prop) (((eq produc957004601l_real) ((plus_p77862768l_real X) Y)) zero_z659284464l_real)) ((and (((eq produc957004601l_real) X) zero_z659284464l_real)) (((eq produc957004601l_real) Y) zero_z659284464l_real))))))
% 0.64/0.80 FOF formula (forall (X:real) (Y:real), (((ord_less_eq_real zero_zero_real) X)->(((ord_less_eq_real zero_zero_real) Y)->(((eq Prop) (((eq real) ((plus_plus_real X) Y)) zero_zero_real)) ((and (((eq real) X) zero_zero_real)) (((eq real) Y) zero_zero_real)))))) of role axiom named fact_133_add__nonneg__eq__0__iff
% 0.64/0.80 A new axiom: (forall (X:real) (Y:real), (((ord_less_eq_real zero_zero_real) X)->(((ord_less_eq_real zero_zero_real) Y)->(((eq Prop) (((eq real) ((plus_plus_real X) Y)) zero_zero_real)) ((and (((eq real) X) zero_zero_real)) (((eq real) Y) zero_zero_real))))))
% 0.64/0.80 FOF formula (forall (A:produc957004601l_real) (B:produc957004601l_real), (((ord_le1342644953l_real A) zero_z659284464l_real)->(((ord_le1342644953l_real B) zero_z659284464l_real)->((ord_le1342644953l_real ((plus_p77862768l_real A) B)) zero_z659284464l_real)))) of role axiom named fact_134_add__nonpos__nonpos
% 0.64/0.80 A new axiom: (forall (A:produc957004601l_real) (B:produc957004601l_real), (((ord_le1342644953l_real A) zero_z659284464l_real)->(((ord_le1342644953l_real B) zero_z659284464l_real)->((ord_le1342644953l_real ((plus_p77862768l_real A) B)) zero_z659284464l_real))))
% 0.64/0.80 FOF formula (forall (A:real) (B:real), (((ord_less_eq_real A) zero_zero_real)->(((ord_less_eq_real B) zero_zero_real)->((ord_less_eq_real ((plus_plus_real A) B)) zero_zero_real)))) of role axiom named fact_135_add__nonpos__nonpos
% 0.64/0.80 A new axiom: (forall (A:real) (B:real), (((ord_less_eq_real A) zero_zero_real)->(((ord_less_eq_real B) zero_zero_real)->((ord_less_eq_real ((plus_plus_real A) B)) zero_zero_real))))
% 0.64/0.80 FOF formula (forall (A:produc957004601l_real) (B:produc957004601l_real), (((ord_le1342644953l_real zero_z659284464l_real) A)->(((ord_le1342644953l_real zero_z659284464l_real) B)->((ord_le1342644953l_real zero_z659284464l_real) ((plus_p77862768l_real A) B))))) of role axiom named fact_136_add__nonneg__nonneg
% 0.64/0.80 A new axiom: (forall (A:produc957004601l_real) (B:produc957004601l_real), (((ord_le1342644953l_real zero_z659284464l_real) A)->(((ord_le1342644953l_real zero_z659284464l_real) B)->((ord_le1342644953l_real zero_z659284464l_real) ((plus_p77862768l_real A) B)))))
% 0.64/0.80 FOF formula (forall (A:real) (B:real), (((ord_less_eq_real zero_zero_real) A)->(((ord_less_eq_real zero_zero_real) B)->((ord_less_eq_real zero_zero_real) ((plus_plus_real A) B))))) of role axiom named fact_137_add__nonneg__nonneg
% 0.64/0.80 A new axiom: (forall (A:real) (B:real), (((ord_less_eq_real zero_zero_real) A)->(((ord_less_eq_real zero_zero_real) B)->((ord_less_eq_real zero_zero_real) ((plus_plus_real A) B)))))
% 0.64/0.80 FOF formula (forall (C:produc957004601l_real) (B:produc957004601l_real) (A:produc957004601l_real), (((ord_le1342644953l_real zero_z659284464l_real) C)->(((ord_le1342644953l_real B) A)->((ord_le1342644953l_real B) ((plus_p77862768l_real A) C))))) of role axiom named fact_138_add__increasing2
% 0.64/0.80 A new axiom: (forall (C:produc957004601l_real) (B:produc957004601l_real) (A:produc957004601l_real), (((ord_le1342644953l_real zero_z659284464l_real) C)->(((ord_le1342644953l_real B) A)->((ord_le1342644953l_real B) ((plus_p77862768l_real A) C)))))
% 0.64/0.80 FOF formula (forall (C:real) (B:real) (A:real), (((ord_less_eq_real zero_zero_real) C)->(((ord_less_eq_real B) A)->((ord_less_eq_real B) ((plus_plus_real A) C))))) of role axiom named fact_139_add__increasing2
% 0.64/0.80 A new axiom: (forall (C:real) (B:real) (A:real), (((ord_less_eq_real zero_zero_real) C)->(((ord_less_eq_real B) A)->((ord_less_eq_real B) ((plus_plus_real A) C)))))
% 0.64/0.80 FOF formula (forall (C:produc957004601l_real) (A:produc957004601l_real) (B:produc957004601l_real), (((ord_le1342644953l_real C) zero_z659284464l_real)->(((ord_le1342644953l_real A) B)->((ord_le1342644953l_real ((plus_p77862768l_real A) C)) B)))) of role axiom named fact_140_add__decreasing2
% 0.64/0.81 A new axiom: (forall (C:produc957004601l_real) (A:produc957004601l_real) (B:produc957004601l_real), (((ord_le1342644953l_real C) zero_z659284464l_real)->(((ord_le1342644953l_real A) B)->((ord_le1342644953l_real ((plus_p77862768l_real A) C)) B))))
% 0.64/0.81 FOF formula (forall (C:real) (A:real) (B:real), (((ord_less_eq_real C) zero_zero_real)->(((ord_less_eq_real A) B)->((ord_less_eq_real ((plus_plus_real A) C)) B)))) of role axiom named fact_141_add__decreasing2
% 0.64/0.81 A new axiom: (forall (C:real) (A:real) (B:real), (((ord_less_eq_real C) zero_zero_real)->(((ord_less_eq_real A) B)->((ord_less_eq_real ((plus_plus_real A) C)) B))))
% 0.64/0.81 FOF formula (forall (A:produc957004601l_real) (B:produc957004601l_real) (C:produc957004601l_real), (((ord_le1342644953l_real zero_z659284464l_real) A)->(((ord_le1342644953l_real B) C)->((ord_le1342644953l_real B) ((plus_p77862768l_real A) C))))) of role axiom named fact_142_add__increasing
% 0.64/0.81 A new axiom: (forall (A:produc957004601l_real) (B:produc957004601l_real) (C:produc957004601l_real), (((ord_le1342644953l_real zero_z659284464l_real) A)->(((ord_le1342644953l_real B) C)->((ord_le1342644953l_real B) ((plus_p77862768l_real A) C)))))
% 0.64/0.81 FOF formula (forall (A:real) (B:real) (C:real), (((ord_less_eq_real zero_zero_real) A)->(((ord_less_eq_real B) C)->((ord_less_eq_real B) ((plus_plus_real A) C))))) of role axiom named fact_143_add__increasing
% 0.64/0.81 A new axiom: (forall (A:real) (B:real) (C:real), (((ord_less_eq_real zero_zero_real) A)->(((ord_less_eq_real B) C)->((ord_less_eq_real B) ((plus_plus_real A) C)))))
% 0.64/0.81 FOF formula (forall (A:produc957004601l_real) (C:produc957004601l_real) (B:produc957004601l_real), (((ord_le1342644953l_real A) zero_z659284464l_real)->(((ord_le1342644953l_real C) B)->((ord_le1342644953l_real ((plus_p77862768l_real A) C)) B)))) of role axiom named fact_144_add__decreasing
% 0.64/0.81 A new axiom: (forall (A:produc957004601l_real) (C:produc957004601l_real) (B:produc957004601l_real), (((ord_le1342644953l_real A) zero_z659284464l_real)->(((ord_le1342644953l_real C) B)->((ord_le1342644953l_real ((plus_p77862768l_real A) C)) B))))
% 0.64/0.81 FOF formula (forall (A:real) (C:real) (B:real), (((ord_less_eq_real A) zero_zero_real)->(((ord_less_eq_real C) B)->((ord_less_eq_real ((plus_plus_real A) C)) B)))) of role axiom named fact_145_add__decreasing
% 0.64/0.81 A new axiom: (forall (A:real) (C:real) (B:real), (((ord_less_eq_real A) zero_zero_real)->(((ord_less_eq_real C) B)->((ord_less_eq_real ((plus_plus_real A) C)) B))))
% 0.64/0.81 FOF formula (((eq product_prod_a_a) zero_z950819678od_a_a) ((product_Pair_a_a zero_zero_a) zero_zero_a)) of role axiom named fact_146_zero__prod__def
% 0.64/0.81 A new axiom: (((eq product_prod_a_a) zero_z950819678od_a_a) ((product_Pair_a_a zero_zero_a) zero_zero_a))
% 0.64/0.81 FOF formula (((eq produc957004601l_real) zero_z659284464l_real) ((produc705216881l_real zero_zero_real) zero_zero_real)) of role axiom named fact_147_zero__prod__def
% 0.64/0.81 A new axiom: (((eq produc957004601l_real) zero_z659284464l_real) ((produc705216881l_real zero_zero_real) zero_zero_real))
% 0.64/0.81 FOF formula (((eq product_prod_real_a) zero_z1407338960real_a) ((product_Pair_real_a zero_zero_real) zero_zero_a)) of role axiom named fact_148_zero__prod__def
% 0.64/0.81 A new axiom: (((eq product_prod_real_a) zero_z1407338960real_a) ((product_Pair_real_a zero_zero_real) zero_zero_a))
% 0.64/0.81 FOF formula (((eq product_prod_a_real) zero_z705155042a_real) ((product_Pair_a_real zero_zero_a) zero_zero_real)) of role axiom named fact_149_zero__prod__def
% 0.64/0.81 A new axiom: (((eq product_prod_a_real) zero_z705155042a_real) ((product_Pair_a_real zero_zero_a) zero_zero_real))
% 0.64/0.81 FOF formula (((eq produc826782210l_real) zero_z590476811l_real) ((produc1926903988l_real zero_zero_real) zero_z659284464l_real)) of role axiom named fact_150_zero__prod__def
% 0.64/0.81 A new axiom: (((eq produc826782210l_real) zero_z590476811l_real) ((produc1926903988l_real zero_zero_real) zero_z659284464l_real))
% 0.64/0.81 FOF formula (((eq produc2096821232od_a_a) zero_z396988537od_a_a) ((produc454550562od_a_a zero_zero_real) zero_z950819678od_a_a)) of role axiom named fact_151_zero__prod__def
% 0.64/0.81 A new axiom: (((eq produc2096821232od_a_a) zero_z396988537od_a_a) ((produc454550562od_a_a zero_zero_real) zero_z950819678od_a_a))
% 0.64/0.82 FOF formula (((eq produc1286132450l_real) zero_z2135370393l_real) ((produc64206290l_real zero_zero_a) zero_z659284464l_real)) of role axiom named fact_152_zero__prod__def
% 0.64/0.82 A new axiom: (((eq produc1286132450l_real) zero_z2135370393l_real) ((produc64206290l_real zero_zero_a) zero_z659284464l_real))
% 0.64/0.82 FOF formula (((eq produc1921647824od_a_a) zero_z53797895od_a_a) ((produc1299253312od_a_a zero_zero_a) zero_z950819678od_a_a)) of role axiom named fact_153_zero__prod__def
% 0.64/0.82 A new axiom: (((eq produc1921647824od_a_a) zero_z53797895od_a_a) ((produc1299253312od_a_a zero_zero_a) zero_z950819678od_a_a))
% 0.64/0.82 FOF formula (((eq produc578556564l_real) zero_z342251165l_real) ((produc1175086478l_real zero_z659284464l_real) zero_zero_real)) of role axiom named fact_154_zero__prod__def
% 0.64/0.82 A new axiom: (((eq produc578556564l_real) zero_z342251165l_real) ((produc1175086478l_real zero_z659284464l_real) zero_zero_real))
% 0.64/0.82 FOF formula (((eq produc1088645164real_a) zero_z1937883107real_a) ((produc1430099868real_a zero_z659284464l_real) zero_zero_a)) of role axiom named fact_155_zero__prod__def
% 0.64/0.82 A new axiom: (((eq produc1088645164real_a) zero_z1937883107real_a) ((produc1430099868real_a zero_z659284464l_real) zero_zero_a))
% 0.64/0.82 FOF formula (forall (A:produc957004601l_real) (C:produc957004601l_real) (B:produc957004601l_real), (((ord_le1342644953l_real ((plus_p77862768l_real A) C)) ((plus_p77862768l_real B) C))->((ord_le1342644953l_real A) B))) of role axiom named fact_156_add__le__imp__le__right
% 0.64/0.82 A new axiom: (forall (A:produc957004601l_real) (C:produc957004601l_real) (B:produc957004601l_real), (((ord_le1342644953l_real ((plus_p77862768l_real A) C)) ((plus_p77862768l_real B) C))->((ord_le1342644953l_real A) B)))
% 0.64/0.82 FOF formula (forall (A:real) (C:real) (B:real), (((ord_less_eq_real ((plus_plus_real A) C)) ((plus_plus_real B) C))->((ord_less_eq_real A) B))) of role axiom named fact_157_add__le__imp__le__right
% 0.64/0.82 A new axiom: (forall (A:real) (C:real) (B:real), (((ord_less_eq_real ((plus_plus_real A) C)) ((plus_plus_real B) C))->((ord_less_eq_real A) B)))
% 0.64/0.82 FOF formula (forall (C:produc957004601l_real) (A:produc957004601l_real) (B:produc957004601l_real), (((ord_le1342644953l_real ((plus_p77862768l_real C) A)) ((plus_p77862768l_real C) B))->((ord_le1342644953l_real A) B))) of role axiom named fact_158_add__le__imp__le__left
% 0.64/0.82 A new axiom: (forall (C:produc957004601l_real) (A:produc957004601l_real) (B:produc957004601l_real), (((ord_le1342644953l_real ((plus_p77862768l_real C) A)) ((plus_p77862768l_real C) B))->((ord_le1342644953l_real A) B)))
% 0.64/0.82 FOF formula (forall (C:real) (A:real) (B:real), (((ord_less_eq_real ((plus_plus_real C) A)) ((plus_plus_real C) B))->((ord_less_eq_real A) B))) of role axiom named fact_159_add__le__imp__le__left
% 0.64/0.82 A new axiom: (forall (C:real) (A:real) (B:real), (((ord_less_eq_real ((plus_plus_real C) A)) ((plus_plus_real C) B))->((ord_less_eq_real A) B)))
% 0.64/0.82 FOF formula (forall (A:produc957004601l_real) (B:produc957004601l_real) (C:produc957004601l_real), (((ord_le1342644953l_real A) B)->((ord_le1342644953l_real ((plus_p77862768l_real A) C)) ((plus_p77862768l_real B) C)))) of role axiom named fact_160_add__right__mono
% 0.64/0.82 A new axiom: (forall (A:produc957004601l_real) (B:produc957004601l_real) (C:produc957004601l_real), (((ord_le1342644953l_real A) B)->((ord_le1342644953l_real ((plus_p77862768l_real A) C)) ((plus_p77862768l_real B) C))))
% 0.64/0.82 FOF formula (forall (A:real) (B:real) (C:real), (((ord_less_eq_real A) B)->((ord_less_eq_real ((plus_plus_real A) C)) ((plus_plus_real B) C)))) of role axiom named fact_161_add__right__mono
% 0.64/0.82 A new axiom: (forall (A:real) (B:real) (C:real), (((ord_less_eq_real A) B)->((ord_less_eq_real ((plus_plus_real A) C)) ((plus_plus_real B) C))))
% 0.64/0.82 FOF formula (forall (A:produc957004601l_real) (B:produc957004601l_real) (C:produc957004601l_real), (((ord_le1342644953l_real A) B)->((ord_le1342644953l_real ((plus_p77862768l_real C) A)) ((plus_p77862768l_real C) B)))) of role axiom named fact_162_add__left__mono
% 0.64/0.82 A new axiom: (forall (A:produc957004601l_real) (B:produc957004601l_real) (C:produc957004601l_real), (((ord_le1342644953l_real A) B)->((ord_le1342644953l_real ((plus_p77862768l_real C) A)) ((plus_p77862768l_real C) B))))
% 0.64/0.83 FOF formula (forall (A:real) (B:real) (C:real), (((ord_less_eq_real A) B)->((ord_less_eq_real ((plus_plus_real C) A)) ((plus_plus_real C) B)))) of role axiom named fact_163_add__left__mono
% 0.64/0.83 A new axiom: (forall (A:real) (B:real) (C:real), (((ord_less_eq_real A) B)->((ord_less_eq_real ((plus_plus_real C) A)) ((plus_plus_real C) B))))
% 0.64/0.83 FOF formula (forall (A:produc957004601l_real) (B:produc957004601l_real) (C:produc957004601l_real) (D:produc957004601l_real), (((ord_le1342644953l_real A) B)->(((ord_le1342644953l_real C) D)->((ord_le1342644953l_real ((plus_p77862768l_real A) C)) ((plus_p77862768l_real B) D))))) of role axiom named fact_164_add__mono
% 0.64/0.83 A new axiom: (forall (A:produc957004601l_real) (B:produc957004601l_real) (C:produc957004601l_real) (D:produc957004601l_real), (((ord_le1342644953l_real A) B)->(((ord_le1342644953l_real C) D)->((ord_le1342644953l_real ((plus_p77862768l_real A) C)) ((plus_p77862768l_real B) D)))))
% 0.64/0.83 FOF formula (forall (A:real) (B:real) (C:real) (D:real), (((ord_less_eq_real A) B)->(((ord_less_eq_real C) D)->((ord_less_eq_real ((plus_plus_real A) C)) ((plus_plus_real B) D))))) of role axiom named fact_165_add__mono
% 0.64/0.83 A new axiom: (forall (A:real) (B:real) (C:real) (D:real), (((ord_less_eq_real A) B)->(((ord_less_eq_real C) D)->((ord_less_eq_real ((plus_plus_real A) C)) ((plus_plus_real B) D)))))
% 0.64/0.83 FOF formula (forall (_TPTP_I:produc957004601l_real) (J:produc957004601l_real) (K:produc957004601l_real) (L:produc957004601l_real), (((and ((ord_le1342644953l_real _TPTP_I) J)) ((ord_le1342644953l_real K) L))->((ord_le1342644953l_real ((plus_p77862768l_real _TPTP_I) K)) ((plus_p77862768l_real J) L)))) of role axiom named fact_166_add__mono__thms__linordered__semiring_I1_J
% 0.64/0.83 A new axiom: (forall (_TPTP_I:produc957004601l_real) (J:produc957004601l_real) (K:produc957004601l_real) (L:produc957004601l_real), (((and ((ord_le1342644953l_real _TPTP_I) J)) ((ord_le1342644953l_real K) L))->((ord_le1342644953l_real ((plus_p77862768l_real _TPTP_I) K)) ((plus_p77862768l_real J) L))))
% 0.64/0.83 FOF formula (forall (_TPTP_I:real) (J:real) (K:real) (L:real), (((and ((ord_less_eq_real _TPTP_I) J)) ((ord_less_eq_real K) L))->((ord_less_eq_real ((plus_plus_real _TPTP_I) K)) ((plus_plus_real J) L)))) of role axiom named fact_167_add__mono__thms__linordered__semiring_I1_J
% 0.64/0.83 A new axiom: (forall (_TPTP_I:real) (J:real) (K:real) (L:real), (((and ((ord_less_eq_real _TPTP_I) J)) ((ord_less_eq_real K) L))->((ord_less_eq_real ((plus_plus_real _TPTP_I) K)) ((plus_plus_real J) L))))
% 0.64/0.83 FOF formula (forall (_TPTP_I:produc957004601l_real) (J:produc957004601l_real) (K:produc957004601l_real) (L:produc957004601l_real), (((and (((eq produc957004601l_real) _TPTP_I) J)) ((ord_le1342644953l_real K) L))->((ord_le1342644953l_real ((plus_p77862768l_real _TPTP_I) K)) ((plus_p77862768l_real J) L)))) of role axiom named fact_168_add__mono__thms__linordered__semiring_I2_J
% 0.64/0.83 A new axiom: (forall (_TPTP_I:produc957004601l_real) (J:produc957004601l_real) (K:produc957004601l_real) (L:produc957004601l_real), (((and (((eq produc957004601l_real) _TPTP_I) J)) ((ord_le1342644953l_real K) L))->((ord_le1342644953l_real ((plus_p77862768l_real _TPTP_I) K)) ((plus_p77862768l_real J) L))))
% 0.64/0.83 FOF formula (forall (_TPTP_I:real) (J:real) (K:real) (L:real), (((and (((eq real) _TPTP_I) J)) ((ord_less_eq_real K) L))->((ord_less_eq_real ((plus_plus_real _TPTP_I) K)) ((plus_plus_real J) L)))) of role axiom named fact_169_add__mono__thms__linordered__semiring_I2_J
% 0.64/0.83 A new axiom: (forall (_TPTP_I:real) (J:real) (K:real) (L:real), (((and (((eq real) _TPTP_I) J)) ((ord_less_eq_real K) L))->((ord_less_eq_real ((plus_plus_real _TPTP_I) K)) ((plus_plus_real J) L))))
% 0.64/0.83 FOF formula (forall (_TPTP_I:produc957004601l_real) (J:produc957004601l_real) (K:produc957004601l_real) (L:produc957004601l_real), (((and ((ord_le1342644953l_real _TPTP_I) J)) (((eq produc957004601l_real) K) L))->((ord_le1342644953l_real ((plus_p77862768l_real _TPTP_I) K)) ((plus_p77862768l_real J) L)))) of role axiom named fact_170_add__mono__thms__linordered__semiring_I3_J
% 0.64/0.84 A new axiom: (forall (_TPTP_I:produc957004601l_real) (J:produc957004601l_real) (K:produc957004601l_real) (L:produc957004601l_real), (((and ((ord_le1342644953l_real _TPTP_I) J)) (((eq produc957004601l_real) K) L))->((ord_le1342644953l_real ((plus_p77862768l_real _TPTP_I) K)) ((plus_p77862768l_real J) L))))
% 0.64/0.84 FOF formula (forall (_TPTP_I:real) (J:real) (K:real) (L:real), (((and ((ord_less_eq_real _TPTP_I) J)) (((eq real) K) L))->((ord_less_eq_real ((plus_plus_real _TPTP_I) K)) ((plus_plus_real J) L)))) of role axiom named fact_171_add__mono__thms__linordered__semiring_I3_J
% 0.64/0.84 A new axiom: (forall (_TPTP_I:real) (J:real) (K:real) (L:real), (((and ((ord_less_eq_real _TPTP_I) J)) (((eq real) K) L))->((ord_less_eq_real ((plus_plus_real _TPTP_I) K)) ((plus_plus_real J) L))))
% 0.64/0.84 FOF formula (forall (X:produc957004601l_real), (((eq produc957004601l_real) ((real_V1139189034l_real zero_zero_real) X)) zero_z659284464l_real)) of role axiom named fact_172_pth__4_I1_J
% 0.64/0.84 A new axiom: (forall (X:produc957004601l_real), (((eq produc957004601l_real) ((real_V1139189034l_real zero_zero_real) X)) zero_z659284464l_real))
% 0.64/0.84 FOF formula (forall (X:real), (((eq real) ((real_V453051771R_real zero_zero_real) X)) zero_zero_real)) of role axiom named fact_173_pth__4_I1_J
% 0.64/0.84 A new axiom: (forall (X:real), (((eq real) ((real_V453051771R_real zero_zero_real) X)) zero_zero_real))
% 0.64/0.84 FOF formula (forall (Pr:set_Pr1741234931a_real), ((forall (X4:product_prod_a_real) (Y3:product_prod_a_real), (((member384820540a_real ((produc886678603a_real X4) Y3)) Pr)->(forall (Alpha:real) (Beta:real), (((and ((and (((eq real) ((plus_plus_real Alpha) Beta)) one_one_real)) ((ord_less_eq_real zero_zero_real) Alpha))) ((ord_less_eq_real zero_zero_real) Beta))->((member384820540a_real ((produc886678603a_real ((plus_p541014626a_real ((real_V512797224a_real Alpha) X4)) ((real_V512797224a_real Beta) Y3))) Y3)) Pr)))))->(prefer1113819806a_real Pr))) of role axiom named fact_174_convex__ge__imp__conved
% 0.64/0.84 A new axiom: (forall (Pr:set_Pr1741234931a_real), ((forall (X4:product_prod_a_real) (Y3:product_prod_a_real), (((member384820540a_real ((produc886678603a_real X4) Y3)) Pr)->(forall (Alpha:real) (Beta:real), (((and ((and (((eq real) ((plus_plus_real Alpha) Beta)) one_one_real)) ((ord_less_eq_real zero_zero_real) Alpha))) ((ord_less_eq_real zero_zero_real) Beta))->((member384820540a_real ((produc886678603a_real ((plus_p541014626a_real ((real_V512797224a_real Alpha) X4)) ((real_V512797224a_real Beta) Y3))) Y3)) Pr)))))->(prefer1113819806a_real Pr)))
% 0.64/0.84 FOF formula (forall (Pr:set_Pr1948701895od_a_a), ((forall (X4:product_prod_a_a) (Y3:product_prod_a_a), (((member2057358096od_a_a ((produc1474507607od_a_a X4) Y3)) Pr)->(forall (Alpha:real) (Beta:real), (((and ((and (((eq real) ((plus_plus_real Alpha) Beta)) one_one_real)) ((ord_less_eq_real zero_zero_real) Alpha))) ((ord_less_eq_real zero_zero_real) Beta))->((member2057358096od_a_a ((produc1474507607od_a_a ((plus_p1505579230od_a_a ((real_V543523736od_a_a Alpha) X4)) ((real_V543523736od_a_a Beta) Y3))) Y3)) Pr)))))->(prefer225425826od_a_a Pr))) of role axiom named fact_175_convex__ge__imp__conved
% 0.64/0.84 A new axiom: (forall (Pr:set_Pr1948701895od_a_a), ((forall (X4:product_prod_a_a) (Y3:product_prod_a_a), (((member2057358096od_a_a ((produc1474507607od_a_a X4) Y3)) Pr)->(forall (Alpha:real) (Beta:real), (((and ((and (((eq real) ((plus_plus_real Alpha) Beta)) one_one_real)) ((ord_less_eq_real zero_zero_real) Alpha))) ((ord_less_eq_real zero_zero_real) Beta))->((member2057358096od_a_a ((produc1474507607od_a_a ((plus_p1505579230od_a_a ((real_V543523736od_a_a Alpha) X4)) ((real_V543523736od_a_a Beta) Y3))) Y3)) Pr)))))->(prefer225425826od_a_a Pr)))
% 0.64/0.84 FOF formula (forall (Pr:set_Pr147102617l_real), ((forall (X4:real) (Y3:real), (((member1068169442l_real ((produc705216881l_real X4) Y3)) Pr)->(forall (Alpha:real) (Beta:real), (((and ((and (((eq real) ((plus_plus_real Alpha) Beta)) one_one_real)) ((ord_less_eq_real zero_zero_real) Alpha))) ((ord_less_eq_real zero_zero_real) Beta))->((member1068169442l_real ((produc705216881l_real ((plus_plus_real ((real_V453051771R_real Alpha) X4)) ((real_V453051771R_real Beta) Y3))) Y3)) Pr)))))->(prefer1247792113f_real Pr))) of role axiom named fact_176_convex__ge__imp__conved
% 0.64/0.84 A new axiom: (forall (Pr:set_Pr147102617l_real), ((forall (X4:real) (Y3:real), (((member1068169442l_real ((produc705216881l_real X4) Y3)) Pr)->(forall (Alpha:real) (Beta:real), (((and ((and (((eq real) ((plus_plus_real Alpha) Beta)) one_one_real)) ((ord_less_eq_real zero_zero_real) Alpha))) ((ord_less_eq_real zero_zero_real) Beta))->((member1068169442l_real ((produc705216881l_real ((plus_plus_real ((real_V453051771R_real Alpha) X4)) ((real_V453051771R_real Beta) Y3))) Y3)) Pr)))))->(prefer1247792113f_real Pr)))
% 0.64/0.84 FOF formula (forall (Pr:set_Product_prod_a_a), ((forall (X4:a) (Y3:a), (((member449909584od_a_a ((product_Pair_a_a X4) Y3)) Pr)->(forall (Alpha:real) (Beta:real), (((and ((and (((eq real) ((plus_plus_real Alpha) Beta)) one_one_real)) ((ord_less_eq_real zero_zero_real) Alpha))) ((ord_less_eq_real zero_zero_real) Beta))->((member449909584od_a_a ((product_Pair_a_a ((plus_plus_a ((real_V1035702895aleR_a Alpha) X4)) ((real_V1035702895aleR_a Beta) Y3))) Y3)) Pr)))))->(prefer529818233pref_a Pr))) of role axiom named fact_177_convex__ge__imp__conved
% 0.64/0.84 A new axiom: (forall (Pr:set_Product_prod_a_a), ((forall (X4:a) (Y3:a), (((member449909584od_a_a ((product_Pair_a_a X4) Y3)) Pr)->(forall (Alpha:real) (Beta:real), (((and ((and (((eq real) ((plus_plus_real Alpha) Beta)) one_one_real)) ((ord_less_eq_real zero_zero_real) Alpha))) ((ord_less_eq_real zero_zero_real) Beta))->((member449909584od_a_a ((product_Pair_a_a ((plus_plus_a ((real_V1035702895aleR_a Alpha) X4)) ((real_V1035702895aleR_a Beta) Y3))) Y3)) Pr)))))->(prefer529818233pref_a Pr)))
% 0.64/0.84 FOF formula (forall (A:product_prod_a_real), (((eq product_prod_a_real) ((plus_p541014626a_real zero_z705155042a_real) A)) A)) of role axiom named fact_178_add_Ogroup__left__neutral
% 0.64/0.84 A new axiom: (forall (A:product_prod_a_real), (((eq product_prod_a_real) ((plus_p541014626a_real zero_z705155042a_real) A)) A))
% 0.64/0.84 FOF formula (forall (A:produc957004601l_real), (((eq produc957004601l_real) ((plus_p77862768l_real zero_z659284464l_real) A)) A)) of role axiom named fact_179_add_Ogroup__left__neutral
% 0.64/0.84 A new axiom: (forall (A:produc957004601l_real), (((eq produc957004601l_real) ((plus_p77862768l_real zero_z659284464l_real) A)) A))
% 0.64/0.84 FOF formula (forall (A:product_prod_a_a), (((eq product_prod_a_a) ((plus_p1505579230od_a_a zero_z950819678od_a_a) A)) A)) of role axiom named fact_180_add_Ogroup__left__neutral
% 0.64/0.84 A new axiom: (forall (A:product_prod_a_a), (((eq product_prod_a_a) ((plus_p1505579230od_a_a zero_z950819678od_a_a) A)) A))
% 0.64/0.84 FOF formula (forall (A:a), (((eq a) ((plus_plus_a zero_zero_a) A)) A)) of role axiom named fact_181_add_Ogroup__left__neutral
% 0.64/0.84 A new axiom: (forall (A:a), (((eq a) ((plus_plus_a zero_zero_a) A)) A))
% 0.64/0.84 FOF formula (forall (A:real), (((eq real) ((plus_plus_real zero_zero_real) A)) A)) of role axiom named fact_182_add_Ogroup__left__neutral
% 0.64/0.84 A new axiom: (forall (A:real), (((eq real) ((plus_plus_real zero_zero_real) A)) A))
% 0.64/0.84 FOF formula (forall (A:set_a), (((eq set_a) ((plus_plus_set_a A) zero_zero_set_a)) A)) of role axiom named fact_183_add_Ocomm__neutral
% 0.64/0.84 A new axiom: (forall (A:set_a), (((eq set_a) ((plus_plus_set_a A) zero_zero_set_a)) A))
% 0.64/0.84 FOF formula (forall (A:produc957004601l_real), (((eq produc957004601l_real) ((plus_p77862768l_real A) zero_z659284464l_real)) A)) of role axiom named fact_184_add_Ocomm__neutral
% 0.64/0.84 A new axiom: (forall (A:produc957004601l_real), (((eq produc957004601l_real) ((plus_p77862768l_real A) zero_z659284464l_real)) A))
% 0.64/0.84 FOF formula (forall (A:product_prod_a_a), (((eq product_prod_a_a) ((plus_p1505579230od_a_a A) zero_z950819678od_a_a)) A)) of role axiom named fact_185_add_Ocomm__neutral
% 0.64/0.84 A new axiom: (forall (A:product_prod_a_a), (((eq product_prod_a_a) ((plus_p1505579230od_a_a A) zero_z950819678od_a_a)) A))
% 0.64/0.84 FOF formula (forall (A:a), (((eq a) ((plus_plus_a A) zero_zero_a)) A)) of role axiom named fact_186_add_Ocomm__neutral
% 0.64/0.84 A new axiom: (forall (A:a), (((eq a) ((plus_plus_a A) zero_zero_a)) A))
% 0.64/0.85 FOF formula (forall (A:real), (((eq real) ((plus_plus_real A) zero_zero_real)) A)) of role axiom named fact_187_add_Ocomm__neutral
% 0.64/0.85 A new axiom: (forall (A:real), (((eq real) ((plus_plus_real A) zero_zero_real)) A))
% 0.64/0.85 FOF formula (forall (A:a), (((eq a) ((plus_plus_a zero_zero_a) A)) A)) of role axiom named fact_188_comm__monoid__add__class_Oadd__0
% 0.64/0.85 A new axiom: (forall (A:a), (((eq a) ((plus_plus_a zero_zero_a) A)) A))
% 0.64/0.85 FOF formula (forall (A:real), (((eq real) ((plus_plus_real zero_zero_real) A)) A)) of role axiom named fact_189_comm__monoid__add__class_Oadd__0
% 0.64/0.85 A new axiom: (forall (A:real), (((eq real) ((plus_plus_real zero_zero_real) A)) A))
% 0.64/0.85 FOF formula (forall (X:real), (((eq real) ((plus_plus_real X) zero_zero_real)) X)) of role axiom named fact_190_pth__d
% 0.64/0.85 A new axiom: (forall (X:real), (((eq real) ((plus_plus_real X) zero_zero_real)) X))
% 0.64/0.85 FOF formula (forall (X:real), (((eq real) ((plus_plus_real zero_zero_real) X)) X)) of role axiom named fact_191_pth__7_I1_J
% 0.64/0.85 A new axiom: (forall (X:real), (((eq real) ((plus_plus_real zero_zero_real) X)) X))
% 0.64/0.85 FOF formula (forall (C:real), (((eq real) ((real_V453051771R_real C) zero_zero_real)) zero_zero_real)) of role axiom named fact_192_pth__4_I2_J
% 0.64/0.85 A new axiom: (forall (C:real), (((eq real) ((real_V453051771R_real C) zero_zero_real)) zero_zero_real))
% 0.64/0.85 FOF formula (forall (B:a) (A:a) (C:a), ((((eq a) ((plus_plus_a B) A)) ((plus_plus_a C) A))->(((eq a) B) C))) of role axiom named fact_193_add__right__imp__eq
% 0.64/0.85 A new axiom: (forall (B:a) (A:a) (C:a), ((((eq a) ((plus_plus_a B) A)) ((plus_plus_a C) A))->(((eq a) B) C)))
% 0.64/0.85 FOF formula (forall (B:real) (A:real) (C:real), ((((eq real) ((plus_plus_real B) A)) ((plus_plus_real C) A))->(((eq real) B) C))) of role axiom named fact_194_add__right__imp__eq
% 0.64/0.85 A new axiom: (forall (B:real) (A:real) (C:real), ((((eq real) ((plus_plus_real B) A)) ((plus_plus_real C) A))->(((eq real) B) C)))
% 0.64/0.85 FOF formula (forall (A:a) (B:a) (C:a), ((((eq a) ((plus_plus_a A) B)) ((plus_plus_a A) C))->(((eq a) B) C))) of role axiom named fact_195_add__left__imp__eq
% 0.64/0.85 A new axiom: (forall (A:a) (B:a) (C:a), ((((eq a) ((plus_plus_a A) B)) ((plus_plus_a A) C))->(((eq a) B) C)))
% 0.64/0.85 FOF formula (forall (A:real) (B:real) (C:real), ((((eq real) ((plus_plus_real A) B)) ((plus_plus_real A) C))->(((eq real) B) C))) of role axiom named fact_196_add__left__imp__eq
% 0.64/0.85 A new axiom: (forall (A:real) (B:real) (C:real), ((((eq real) ((plus_plus_real A) B)) ((plus_plus_real A) C))->(((eq real) B) C)))
% 0.64/0.85 FOF formula (forall (B:a) (A:a) (C:a), (((eq a) ((plus_plus_a B) ((plus_plus_a A) C))) ((plus_plus_a A) ((plus_plus_a B) C)))) of role axiom named fact_197_add_Oleft__commute
% 0.64/0.85 A new axiom: (forall (B:a) (A:a) (C:a), (((eq a) ((plus_plus_a B) ((plus_plus_a A) C))) ((plus_plus_a A) ((plus_plus_a B) C))))
% 0.64/0.85 FOF formula (forall (B:real) (A:real) (C:real), (((eq real) ((plus_plus_real B) ((plus_plus_real A) C))) ((plus_plus_real A) ((plus_plus_real B) C)))) of role axiom named fact_198_add_Oleft__commute
% 0.64/0.85 A new axiom: (forall (B:real) (A:real) (C:real), (((eq real) ((plus_plus_real B) ((plus_plus_real A) C))) ((plus_plus_real A) ((plus_plus_real B) C))))
% 0.64/0.85 FOF formula (((eq (a->(a->a))) plus_plus_a) (fun (A4:a) (B3:a)=> ((plus_plus_a B3) A4))) of role axiom named fact_199_add_Ocommute
% 0.64/0.85 A new axiom: (((eq (a->(a->a))) plus_plus_a) (fun (A4:a) (B3:a)=> ((plus_plus_a B3) A4)))
% 0.64/0.85 FOF formula (((eq (real->(real->real))) plus_plus_real) (fun (A4:real) (B3:real)=> ((plus_plus_real B3) A4))) of role axiom named fact_200_add_Ocommute
% 0.64/0.85 A new axiom: (((eq (real->(real->real))) plus_plus_real) (fun (A4:real) (B3:real)=> ((plus_plus_real B3) A4)))
% 0.64/0.85 FOF formula (forall (B:a) (A:a) (C:a), (((eq Prop) (((eq a) ((plus_plus_a B) A)) ((plus_plus_a C) A))) (((eq a) B) C))) of role axiom named fact_201_add_Oright__cancel
% 0.64/0.85 A new axiom: (forall (B:a) (A:a) (C:a), (((eq Prop) (((eq a) ((plus_plus_a B) A)) ((plus_plus_a C) A))) (((eq a) B) C)))
% 0.64/0.85 FOF formula (forall (B:real) (A:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real B) A)) ((plus_plus_real C) A))) (((eq real) B) C))) of role axiom named fact_202_add_Oright__cancel
% 0.64/0.86 A new axiom: (forall (B:real) (A:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real B) A)) ((plus_plus_real C) A))) (((eq real) B) C)))
% 0.64/0.86 FOF formula (forall (A:a) (B:a) (C:a), (((eq Prop) (((eq a) ((plus_plus_a A) B)) ((plus_plus_a A) C))) (((eq a) B) C))) of role axiom named fact_203_add_Oleft__cancel
% 0.64/0.86 A new axiom: (forall (A:a) (B:a) (C:a), (((eq Prop) (((eq a) ((plus_plus_a A) B)) ((plus_plus_a A) C))) (((eq a) B) C)))
% 0.64/0.86 FOF formula (forall (A:real) (B:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real A) B)) ((plus_plus_real A) C))) (((eq real) B) C))) of role axiom named fact_204_add_Oleft__cancel
% 0.64/0.86 A new axiom: (forall (A:real) (B:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real A) B)) ((plus_plus_real A) C))) (((eq real) B) C)))
% 0.64/0.86 FOF formula (forall (A:a) (B:a) (C:a), (((eq a) ((plus_plus_a ((plus_plus_a A) B)) C)) ((plus_plus_a A) ((plus_plus_a B) C)))) of role axiom named fact_205_add_Oassoc
% 0.64/0.86 A new axiom: (forall (A:a) (B:a) (C:a), (((eq a) ((plus_plus_a ((plus_plus_a A) B)) C)) ((plus_plus_a A) ((plus_plus_a B) C))))
% 0.64/0.86 FOF formula (forall (A:real) (B:real) (C:real), (((eq real) ((plus_plus_real ((plus_plus_real A) B)) C)) ((plus_plus_real A) ((plus_plus_real B) C)))) of role axiom named fact_206_add_Oassoc
% 0.64/0.86 A new axiom: (forall (A:real) (B:real) (C:real), (((eq real) ((plus_plus_real ((plus_plus_real A) B)) C)) ((plus_plus_real A) ((plus_plus_real B) C))))
% 0.64/0.86 <<< :
% 0.64/0.86 ( ( member449909584od_a_a @ X @ ( plus_p634297534od_a_a @ A3 @ B4 ) )
% 0.64/0.86 => ~ !>>>!!!<<< [A5: product_prod_a_a,B5: product_prod_a_a] :
% 0.64/0.86 ( ( X
% 0.64/0.86 = ( plus_p1>>>
% 0.64/0.86 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, 11, 22, 30, 36, 43, 50, 99, 113, 185, 229, 265, 285, 300, 221, 120, 187, 124]
% 0.64/0.86 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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LexToken(COMMA,',',1,71142), formula_role, LexToken(COMMA,',',1,71148), LexToken(LPAR,'(',1,71149), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,71157), thf_variable_list, LexToken(RBRACKET,']',1,71227), LexToken(COLON,':',1,71229), LexToken(LPAR,'(',1,71237), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.64/0.86 Unexpected exception Syntax error at '!':BANG
% 0.64/0.86 Traceback (most recent call last):
% 0.64/0.86 File "CASC.py", line 79, in <module>
% 0.64/0.86 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.64/0.86 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.64/0.86 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.64/0.86 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.64/0.86 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.64/0.86 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.64/0.86 tok = self.errorfunc(errtoken)
% 0.64/0.86 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.64/0.86 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.64/0.86 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------