%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : ITP164^1 : TPTP v7.5.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n005.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 13:24:23 EDT 2021

% Result   : Unknown 0.80s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : ITP164^1 : TPTP v7.5.0. Released v7.5.0.
% 0.04/0.12  % Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Fri Mar 19 06:50:29 EDT 2021
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.35  Python 2.7.5
% 0.41/0.62  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x17c33f8>, <kernel.Type object at 0x17c3248>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Product____Type__Ounit_J_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring set_Pr451126599t_unit:Type
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x17c7e18>, <kernel.Type object at 0x17c30e0>) of role type named ty_n_t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_It__Product____Type__Ounit_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring refine787176636t_unit:Type
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x17c3758>, <kernel.Type object at 0x17c3488>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Product____Type__Ounit_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring produc971140967t_unit:Type
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x17c3248>, <kernel.Type object at 0x17c3a70>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__a_Mt__Product____Type__Ounit_J_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring set_Pr1628433942t_unit:Type
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x17c30e0>, <kernel.Type object at 0x17c31b8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_Mtf__a_J_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring set_Pr1720557880unit_a:Type
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x17c3488>, <kernel.Type object at 0x17c32d8>) of role type named ty_n_t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring refine424419629nres_a:Type
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x17c3a70>, <kernel.Type object at 0x17c35a8>) of role type named ty_n_t__Product____Type__Oprod_Itf__a_Mt__Product____Type__Ounit_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring produc1767851702t_unit:Type
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x17c31b8>, <kernel.Type object at 0x17c3fc8>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Ounit_Mtf__a_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring produc884009688unit_a:Type
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x17c32d8>, <kernel.Type object at 0x17c35a8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__a_Mtf__a_J_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring set_Product_prod_a_a:Type
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x17c3128>, <kernel.Type object at 0x2b3988cb7518>) of role type named ty_n_t__Set__Oset_It__Product____Type__Ounit_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring set_Product_unit:Type
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x17c3fc8>, <kernel.Type object at 0x2b3988cb7518>) of role type named ty_n_t__Product____Type__Oprod_Itf__a_Mtf__a_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring product_prod_a_a:Type
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x17c3098>, <kernel.Type object at 0x2b3988cb75f0>) of role type named ty_n_t__Product____Type__Ounit
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring product_unit:Type
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x17c3fc8>, <kernel.Type object at 0x2b3988cb75a8>) of role type named ty_n_t__Set__Oset_Itf__a_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring set_a:Type
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x17c3098>, <kernel.Type object at 0x2b3988cb79e0>) of role type named ty_n_tf__a
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring a:Type
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x17c3098>, <kernel.DependentProduct object at 0x2b3988cb4cb0>) of role type named sy_c_If_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_It__Product____Type__Ounit_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring if_Ref1369692790t_unit:(Prop->(refine787176636t_unit->(refine787176636t_unit->refine787176636t_unit)))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x17c3098>, <kernel.DependentProduct object at 0x2b3988cb75a8>) of role type named sy_c_If_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring if_Ref1724547303nres_a:(Prop->(refine424419629nres_a->(refine424419629nres_a->refine424419629nres_a)))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b3988cb4cb0>, <kernel.Constant object at 0x2b3988cb75a8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_It__Product____Type__Ounit_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring bot_bo658782032t_unit:refine787176636t_unit
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b3988cb4830>, <kernel.Constant object at 0x2b3988cb75a8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring bot_bo529555393nres_a:refine424419629nres_a
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b3988cb4830>, <kernel.Constant object at 0x2b3988cb75a8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Ounit_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring bot_bo1087887705t_unit:set_Product_unit
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b3988cb75f0>, <kernel.Constant object at 0x2b3988cb7a70>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_Itf__a_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring bot_bot_set_a:set_a
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b3988cb7518>, <kernel.DependentProduct object at 0x2b39811e6e60>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_It__Product____Type__Ounit_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring ord_le1051254044t_unit:(refine787176636t_unit->(refine787176636t_unit->Prop))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b3988cb7a70>, <kernel.DependentProduct object at 0x2b39811e6dd0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring ord_le519537037nres_a:(refine424419629nres_a->(refine424419629nres_a->Prop))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b3988cb7518>, <kernel.DependentProduct object at 0x2b39811e6fc8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Product____Type__Ounit_J_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring ord_le2035129575t_unit:(set_Pr451126599t_unit->(set_Pr451126599t_unit->Prop))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b3988cb75a8>, <kernel.DependentProduct object at 0x2b39811e6ef0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_Mtf__a_J_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring ord_le2070001880unit_a:(set_Pr1720557880unit_a->(set_Pr1720557880unit_a->Prop))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b3988cb75a8>, <kernel.DependentProduct object at 0x2b39811e6f38>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_Itf__a_Mt__Product____Type__Ounit_J_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring ord_le1977877942t_unit:(set_Pr1628433942t_unit->(set_Pr1628433942t_unit->Prop))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b39811e6d40>, <kernel.DependentProduct object at 0x2b39811e6e18>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_Itf__a_Mtf__a_J_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring ord_le1824328871od_a_a:(set_Product_prod_a_a->(set_Product_prod_a_a->Prop))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b39811e6d88>, <kernel.DependentProduct object at 0x2b39811e6e60>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Ounit_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring ord_le1023748749t_unit:(set_Product_unit->(set_Product_unit->Prop))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b39811e6cb0>, <kernel.DependentProduct object at 0x2b39811e6dd0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_Itf__a_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring ord_less_eq_set_a:(set_a->(set_a->Prop))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b39811e6e18>, <kernel.DependentProduct object at 0x2b39811e6ea8>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_It__Product____Type__Ounit_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring order_453013155t_unit:((refine787176636t_unit->Prop)->refine787176636t_unit)
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b39811e6e60>, <kernel.DependentProduct object at 0x2b39811e6b00>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring order_1714329108nres_a:((refine424419629nres_a->Prop)->refine424419629nres_a)
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b39811e6bd8>, <kernel.Constant object at 0x2b39811e6b00>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_It__Product____Type__Ounit_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring top_to177290092t_unit:refine787176636t_unit
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b39811e6e18>, <kernel.Constant object at 0x2b39811e6b00>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring top_to231829469nres_a:refine424419629nres_a
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b39811e6e60>, <kernel.DependentProduct object at 0x2b39811e6d40>) of role type named sy_c_Partial__Function_Oflat__ord_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_It__Product____Type__Ounit_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring partia1658438072t_unit:(refine787176636t_unit->(refine787176636t_unit->(refine787176636t_unit->Prop)))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b39811e6d88>, <kernel.DependentProduct object at 0x2b39811e69e0>) of role type named sy_c_Partial__Function_Oflat__ord_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring partia906949161nres_a:(refine424419629nres_a->(refine424419629nres_a->(refine424419629nres_a->Prop)))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b39811e6ab8>, <kernel.DependentProduct object at 0x2b39811e6950>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Ounit_001t__Product____Type__Ounit
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring produc1076565719t_unit:(product_unit->(product_unit->produc971140967t_unit))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b39811e6b48>, <kernel.DependentProduct object at 0x2b39811e6b00>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Ounit_001tf__a
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring produc1799512520unit_a:(product_unit->(a->produc884009688unit_a))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b39811e69e0>, <kernel.DependentProduct object at 0x2b39811e6998>) of role type named sy_c_Product__Type_OPair_001tf__a_001t__Product____Type__Ounit
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring produc1776699686t_unit:(a->(product_unit->produc1767851702t_unit))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b39811e6950>, <kernel.DependentProduct object at 0x2b39811e6e60>) of role type named sy_c_Product__Type_OPair_001tf__a_001tf__a
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring product_Pair_a_a:(a->(a->product_prod_a_a))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b39811e6b00>, <kernel.DependentProduct object at 0x2b39811e6ab8>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_ORETURN_001t__Product____Type__Ounit
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring refine1420258419t_unit:(product_unit->refine787176636t_unit)
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b39811e6998>, <kernel.DependentProduct object at 0x2b39811e6b48>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_ORETURN_001tf__a
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring refine2063221604TURN_a:(a->refine424419629nres_a)
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b39811e6e60>, <kernel.DependentProduct object at 0x2b39811e6950>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Oabs__fun_001t__Product____Type__Ounit_001t__Product____Type__Ounit
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring refine838861686t_unit:(set_Pr451126599t_unit->(refine787176636t_unit->refine787176636t_unit))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b39811e6ab8>, <kernel.DependentProduct object at 0x2b39811e6878>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Oabs__fun_001t__Product____Type__Ounit_001tf__a
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring refine364464487unit_a:(set_Pr1720557880unit_a->(refine787176636t_unit->refine424419629nres_a))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0x2b39811e6b48>, <kernel.DependentProduct object at 0x2b39811e67a0>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Oabs__fun_001tf__a_001t__Product____Type__Ounit
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring refine341651653t_unit:(set_Pr1628433942t_unit->(refine424419629nres_a->refine787176636t_unit))
% 0.41/0.63  FOF formula (<kernel.Constant object at 0x2b39811e6950>, <kernel.DependentProduct object at 0x2b39811e6b00>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Oabs__fun_001tf__a_001tf__a
% 0.41/0.63  Using role type
% 0.41/0.63  Declaring refine1136779702un_a_a:(set_Product_prod_a_a->(refine424419629nres_a->refine424419629nres_a))
% 0.41/0.63  FOF formula (<kernel.Constant object at 0x2b39811e6878>, <kernel.DependentProduct object at 0x2b39811e6638>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Obind_001t__Product____Type__Ounit_001t__Product____Type__Ounit
% 0.41/0.63  Using role type
% 0.41/0.63  Declaring refine681446406t_unit:(refine787176636t_unit->((product_unit->refine787176636t_unit)->refine787176636t_unit))
% 0.41/0.63  FOF formula (<kernel.Constant object at 0x2b39811e67a0>, <kernel.DependentProduct object at 0x2b39811e6560>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Obind_001t__Product____Type__Ounit_001tf__a
% 0.41/0.63  Using role type
% 0.41/0.63  Declaring refine119808503unit_a:(refine787176636t_unit->((product_unit->refine424419629nres_a)->refine424419629nres_a))
% 0.41/0.63  FOF formula (<kernel.Constant object at 0x2b39811e6b00>, <kernel.DependentProduct object at 0x2b39811e65a8>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Obind_001tf__a_001t__Product____Type__Ounit
% 0.41/0.63  Using role type
% 0.41/0.63  Declaring refine96995669t_unit:(refine424419629nres_a->((a->refine787176636t_unit)->refine787176636t_unit))
% 0.41/0.63  FOF formula (<kernel.Constant object at 0x2b39811e6638>, <kernel.DependentProduct object at 0x2b39811e64d0>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Obind_001tf__a_001tf__a
% 0.41/0.63  Using role type
% 0.41/0.63  Declaring refine436832838nd_a_a:(refine424419629nres_a->((a->refine424419629nres_a)->refine424419629nres_a))
% 0.41/0.63  FOF formula (<kernel.Constant object at 0x2b39811e6560>, <kernel.DependentProduct object at 0x2b39811e6998>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Oconc__fun_001t__Product____Type__Ounit_001t__Product____Type__Ounit
% 0.41/0.63  Using role type
% 0.41/0.63  Declaring refine944483349t_unit:(set_Pr451126599t_unit->(refine787176636t_unit->refine787176636t_unit))
% 0.41/0.63  FOF formula (<kernel.Constant object at 0x2b39811e65a8>, <kernel.DependentProduct object at 0x2b39811e6ab8>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Oconc__fun_001t__Product____Type__Ounit_001tf__a
% 0.41/0.63  Using role type
% 0.41/0.63  Declaring refine2043866374unit_a:(set_Pr1720557880unit_a->(refine424419629nres_a->refine787176636t_unit))
% 0.41/0.63  FOF formula (<kernel.Constant object at 0x2b39811e64d0>, <kernel.DependentProduct object at 0x2b39811e6d88>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Oconc__fun_001tf__a_001t__Product____Type__Ounit
% 0.41/0.63  Using role type
% 0.41/0.63  Declaring refine2021053540t_unit:(set_Pr1628433942t_unit->(refine787176636t_unit->refine424419629nres_a))
% 0.41/0.63  FOF formula (<kernel.Constant object at 0x2b39811e6998>, <kernel.DependentProduct object at 0x2b39811e6b00>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Oconc__fun_001tf__a_001tf__a
% 0.41/0.63  Using role type
% 0.41/0.63  Declaring refine1441824853un_a_a:(set_Product_prod_a_a->(refine424419629nres_a->refine424419629nres_a))
% 0.41/0.63  FOF formula (<kernel.Constant object at 0x2b39811e6ab8>, <kernel.DependentProduct object at 0x2b39811e6638>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Oinres_001t__Product____Type__Ounit
% 0.41/0.63  Using role type
% 0.41/0.63  Declaring refine558004794t_unit:(refine787176636t_unit->(product_unit->Prop))
% 0.41/0.63  FOF formula (<kernel.Constant object at 0x2b39811e6d88>, <kernel.DependentProduct object at 0x2b39811e6e60>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Oinres_001tf__a
% 0.41/0.63  Using role type
% 0.41/0.63  Declaring refine1001002027nres_a:(refine424419629nres_a->(a->Prop))
% 0.41/0.63  FOF formula (<kernel.Constant object at 0x2b39811e6b00>, <kernel.DependentProduct object at 0x2b39811e64d0>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Onf__inres_001t__Product____Type__Ounit
% 0.41/0.63  Using role type
% 0.41/0.63  Declaring refine983493746t_unit:(refine787176636t_unit->(product_unit->Prop))
% 0.41/0.63  FOF formula (<kernel.Constant object at 0x2b39811e6638>, <kernel.DependentProduct object at 0x2b39811e6998>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Onf__inres_001tf__a
% 0.46/0.63  Using role type
% 0.46/0.63  Declaring refine1312857699nres_a:(refine424419629nres_a->(a->Prop))
% 0.46/0.63  FOF formula (<kernel.Constant object at 0x2b39811e6e60>, <kernel.DependentProduct object at 0x2b39811e6368>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Onofail_001t__Product____Type__Ounit
% 0.46/0.63  Using role type
% 0.46/0.63  Declaring refine579265252t_unit:(refine787176636t_unit->Prop)
% 0.46/0.63  FOF formula (<kernel.Constant object at 0x2b39811e64d0>, <kernel.DependentProduct object at 0x2b39811e6560>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Onofail_001tf__a
% 0.46/0.63  Using role type
% 0.46/0.63  Declaring refine412683989fail_a:(refine424419629nres_a->Prop)
% 0.46/0.63  FOF formula (<kernel.Constant object at 0x2b39811e6998>, <kernel.DependentProduct object at 0x2b39811e62d8>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Onres_ORES_001t__Product____Type__Ounit
% 0.46/0.63  Using role type
% 0.46/0.63  Declaring refine1777164439t_unit:(set_Product_unit->refine787176636t_unit)
% 0.46/0.63  FOF formula (<kernel.Constant object at 0x2b39811e6368>, <kernel.DependentProduct object at 0x2b39811e6200>) of role type named sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Onres_ORES_001tf__a
% 0.46/0.63  Using role type
% 0.46/0.63  Declaring refine1198353288_RES_a:(set_a->refine424419629nres_a)
% 0.46/0.63  FOF formula (<kernel.Constant object at 0x2b39811e6560>, <kernel.DependentProduct object at 0x2b39811e61b8>) of role type named sy_c_Refine__Misc_Ogalois__connection_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_It__Product____Type__Ounit_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_It__Product____Type__Ounit_J
% 0.46/0.63  Using role type
% 0.46/0.63  Declaring refine230495195t_unit:((refine787176636t_unit->refine787176636t_unit)->((refine787176636t_unit->refine787176636t_unit)->Prop))
% 0.46/0.63  FOF formula (<kernel.Constant object at 0x2b39811e62d8>, <kernel.DependentProduct object at 0x2b39811e60e0>) of role type named sy_c_Refine__Misc_Ogalois__connection_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_It__Product____Type__Ounit_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J
% 0.46/0.63  Using role type
% 0.46/0.63  Declaring refine2089046860nres_a:((refine787176636t_unit->refine424419629nres_a)->((refine424419629nres_a->refine787176636t_unit)->Prop))
% 0.46/0.63  FOF formula (<kernel.Constant object at 0x2b39811e6248>, <kernel.DependentProduct object at 0x2b39811e6128>) of role type named sy_c_Refine__Misc_Ogalois__connection_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_It__Product____Type__Ounit_J
% 0.46/0.63  Using role type
% 0.46/0.63  Declaring refine327276970t_unit:((refine424419629nres_a->refine787176636t_unit)->((refine787176636t_unit->refine424419629nres_a)->Prop))
% 0.46/0.63  FOF formula (<kernel.Constant object at 0x2b39811e6998>, <kernel.DependentProduct object at 0x2b39811e6050>) of role type named sy_c_Refine__Misc_Ogalois__connection_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J
% 0.46/0.63  Using role type
% 0.46/0.63  Declaring refine2004812827nres_a:((refine424419629nres_a->refine424419629nres_a)->((refine424419629nres_a->refine424419629nres_a)->Prop))
% 0.46/0.63  FOF formula (<kernel.Constant object at 0x2b39811e6368>, <kernel.DependentProduct object at 0x2b39811e62d8>) of role type named sy_c_Relation_ODomain_001t__Product____Type__Ounit_001t__Product____Type__Ounit
% 0.46/0.63  Using role type
% 0.46/0.63  Declaring domain2090798924t_unit:(set_Pr451126599t_unit->set_Product_unit)
% 0.46/0.63  FOF formula (<kernel.Constant object at 0x2b39811e6560>, <kernel.DependentProduct object at 0x2b39811e60e0>) of role type named sy_c_Relation_ODomain_001t__Product____Type__Ounit_001tf__a
% 0.46/0.63  Using role type
% 0.46/0.63  Declaring domain822362941unit_a:(set_Pr1720557880unit_a->set_Product_unit)
% 0.46/0.63  FOF formula (<kernel.Constant object at 0x2b39811e6050>, <kernel.DependentProduct object at 0x2b39811e6098>) of role type named sy_c_Relation_ODomain_001tf__a_001t__Product____Type__Ounit
% 0.46/0.63  Using role type
% 0.46/0.63  Declaring domain799550107t_unit:(set_Pr1628433942t_unit->set_a)
% 0.46/0.63  FOF formula (<kernel.Constant object at 0x2b39811e62d8>, <kernel.DependentProduct object at 0x2b39811bd680>) of role type named sy_c_Relation_ODomain_001tf__a_001tf__a
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring domain_a_a:(set_Product_prod_a_a->set_a)
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x2b39811e60e0>, <kernel.DependentProduct object at 0x2b39811bd680>) of role type named sy_c_Relation_Osingle__valued_001t__Product____Type__Ounit_001t__Product____Type__Ounit
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring single330234563t_unit:(set_Pr451126599t_unit->Prop)
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x2b39811e6998>, <kernel.DependentProduct object at 0x2b39811bd908>) of role type named sy_c_Relation_Osingle__valued_001t__Product____Type__Ounit_001tf__a
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring single249782708unit_a:(set_Pr1720557880unit_a->Prop)
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x2b39811e6368>, <kernel.DependentProduct object at 0x17a0950>) of role type named sy_c_Relation_Osingle__valued_001tf__a_001t__Product____Type__Ounit
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring single226969874t_unit:(set_Pr1628433942t_unit->Prop)
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x2b39811e60e0>, <kernel.DependentProduct object at 0x17a0cf8>) of role type named sy_c_Relation_Osingle__valued_001tf__a_001tf__a
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring single_valued_a_a:(set_Product_prod_a_a->Prop)
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x2b39811bd680>, <kernel.DependentProduct object at 0x17bdea8>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Product____Type__Ounit_J
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring collec797068754t_unit:((produc971140967t_unit->Prop)->set_Pr451126599t_unit)
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x17a0bd8>, <kernel.DependentProduct object at 0x17bdf38>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Product____Type__Ounit_Mtf__a_J
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring collec535904323unit_a:((produc884009688unit_a->Prop)->set_Pr1720557880unit_a)
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x17a0cf8>, <kernel.DependentProduct object at 0x17bdc68>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_Itf__a_Mt__Product____Type__Ounit_J
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring collec1419746337t_unit:((produc1767851702t_unit->Prop)->set_Pr1628433942t_unit)
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x17a0cf8>, <kernel.DependentProduct object at 0x17bdcf8>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_Itf__a_Mtf__a_J
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring collec645855634od_a_a:((product_prod_a_a->Prop)->set_Product_prod_a_a)
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x2b39811e6998>, <kernel.DependentProduct object at 0x17bdbd8>) of role type named sy_c_Set_OCollect_001t__Product____Type__Ounit
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring collect_Product_unit:((product_unit->Prop)->set_Product_unit)
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x2b39811e6fc8>, <kernel.DependentProduct object at 0x17bdd88>) of role type named sy_c_Set_OCollect_001tf__a
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring collect_a:((a->Prop)->set_a)
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x2b39811e6998>, <kernel.DependentProduct object at 0x17bdea8>) of role type named sy_c_Set_Oinsert_001t__Product____Type__Ounit
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring insert_Product_unit:(product_unit->(set_Product_unit->set_Product_unit))
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x2b39811e6fc8>, <kernel.DependentProduct object at 0x17bdc68>) of role type named sy_c_Set_Oinsert_001tf__a
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring insert_a:(a->(set_a->set_a))
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x2b39811e60e0>, <kernel.DependentProduct object at 0x17c67a0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Product____Type__Ounit_J
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring member1423014800t_unit:(produc971140967t_unit->(set_Pr451126599t_unit->Prop))
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x2b39811e60e0>, <kernel.DependentProduct object at 0x17c6f38>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Ounit_Mtf__a_J
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring member1211819009unit_a:(produc884009688unit_a->(set_Pr1720557880unit_a->Prop))
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x17bdcf8>, <kernel.DependentProduct object at 0x17c6b48>) of role type named sy_c_member_001t__Product____Type__Oprod_Itf__a_Mt__Product____Type__Ounit_J
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring member2095661023t_unit:(produc1767851702t_unit->(set_Pr1628433942t_unit->Prop))
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x17bdea8>, <kernel.DependentProduct object at 0x17c6ab8>) of role type named sy_c_member_001t__Product____Type__Oprod_Itf__a_Mtf__a_J
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring member449909584od_a_a:(product_prod_a_a->(set_Product_prod_a_a->Prop))
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x17bde18>, <kernel.DependentProduct object at 0x17c6b90>) of role type named sy_c_member_001t__Product____Type__Ounit
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring member_Product_unit:(product_unit->(set_Product_unit->Prop))
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x17bdea8>, <kernel.DependentProduct object at 0x17c6998>) of role type named sy_c_member_001tf__a
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring member_a:(a->(set_a->Prop))
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x17bde18>, <kernel.DependentProduct object at 0x17c6bd8>) of role type named sy_v_f
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring f:(product_unit->refine424419629nres_a)
% 0.46/0.64  FOF formula (forall (F:(product_unit->refine787176636t_unit)), (((eq refine787176636t_unit) ((refine681446406t_unit bot_bo658782032t_unit) F)) bot_bo658782032t_unit)) of role axiom named fact_0_bind__SUCCEED
% 0.46/0.64  A new axiom: (forall (F:(product_unit->refine787176636t_unit)), (((eq refine787176636t_unit) ((refine681446406t_unit bot_bo658782032t_unit) F)) bot_bo658782032t_unit))
% 0.46/0.64  FOF formula (forall (F:(a->refine787176636t_unit)), (((eq refine787176636t_unit) ((refine96995669t_unit bot_bo529555393nres_a) F)) bot_bo658782032t_unit)) of role axiom named fact_1_bind__SUCCEED
% 0.46/0.64  A new axiom: (forall (F:(a->refine787176636t_unit)), (((eq refine787176636t_unit) ((refine96995669t_unit bot_bo529555393nres_a) F)) bot_bo658782032t_unit))
% 0.46/0.64  FOF formula (forall (F:(a->refine424419629nres_a)), (((eq refine424419629nres_a) ((refine436832838nd_a_a bot_bo529555393nres_a) F)) bot_bo529555393nres_a)) of role axiom named fact_2_bind__SUCCEED
% 0.46/0.64  A new axiom: (forall (F:(a->refine424419629nres_a)), (((eq refine424419629nres_a) ((refine436832838nd_a_a bot_bo529555393nres_a) F)) bot_bo529555393nres_a))
% 0.46/0.64  FOF formula (forall (F:(product_unit->refine424419629nres_a)), (((eq refine424419629nres_a) ((refine119808503unit_a bot_bo658782032t_unit) F)) bot_bo529555393nres_a)) of role axiom named fact_3_bind__SUCCEED
% 0.46/0.64  A new axiom: (forall (F:(product_unit->refine424419629nres_a)), (((eq refine424419629nres_a) ((refine119808503unit_a bot_bo658782032t_unit) F)) bot_bo529555393nres_a))
% 0.46/0.64  FOF formula (forall (X:product_unit) (F:(product_unit->refine787176636t_unit)), (((eq refine787176636t_unit) ((refine681446406t_unit (refine1420258419t_unit X)) F)) (F X))) of role axiom named fact_4_nres__monad1
% 0.46/0.64  A new axiom: (forall (X:product_unit) (F:(product_unit->refine787176636t_unit)), (((eq refine787176636t_unit) ((refine681446406t_unit (refine1420258419t_unit X)) F)) (F X)))
% 0.46/0.64  FOF formula (forall (X:a) (F:(a->refine424419629nres_a)), (((eq refine424419629nres_a) ((refine436832838nd_a_a (refine2063221604TURN_a X)) F)) (F X))) of role axiom named fact_5_nres__monad1
% 0.46/0.64  A new axiom: (forall (X:a) (F:(a->refine424419629nres_a)), (((eq refine424419629nres_a) ((refine436832838nd_a_a (refine2063221604TURN_a X)) F)) (F X)))
% 0.46/0.64  FOF formula (forall (X:a) (F:(a->refine787176636t_unit)), (((eq refine787176636t_unit) ((refine96995669t_unit (refine2063221604TURN_a X)) F)) (F X))) of role axiom named fact_6_nres__monad1
% 0.46/0.64  A new axiom: (forall (X:a) (F:(a->refine787176636t_unit)), (((eq refine787176636t_unit) ((refine96995669t_unit (refine2063221604TURN_a X)) F)) (F X)))
% 0.46/0.64  FOF formula (forall (X:product_unit) (F:(product_unit->refine424419629nres_a)), (((eq refine424419629nres_a) ((refine119808503unit_a (refine1420258419t_unit X)) F)) (F X))) of role axiom named fact_7_nres__monad1
% 0.46/0.64  A new axiom: (forall (X:product_unit) (F:(product_unit->refine424419629nres_a)), (((eq refine424419629nres_a) ((refine119808503unit_a (refine1420258419t_unit X)) F)) (F X)))
% 0.46/0.64  FOF formula (forall (M:refine787176636t_unit), (((eq refine787176636t_unit) ((refine681446406t_unit M) refine1420258419t_unit)) M)) of role axiom named fact_8_nres__monad2
% 0.50/0.65  A new axiom: (forall (M:refine787176636t_unit), (((eq refine787176636t_unit) ((refine681446406t_unit M) refine1420258419t_unit)) M))
% 0.50/0.65  FOF formula (forall (M:refine424419629nres_a), (((eq refine424419629nres_a) ((refine436832838nd_a_a M) refine2063221604TURN_a)) M)) of role axiom named fact_9_nres__monad2
% 0.50/0.65  A new axiom: (forall (M:refine424419629nres_a), (((eq refine424419629nres_a) ((refine436832838nd_a_a M) refine2063221604TURN_a)) M))
% 0.50/0.65  FOF formula (forall (R:set_Pr451126599t_unit), (((eq refine787176636t_unit) ((refine838861686t_unit R) bot_bo658782032t_unit)) bot_bo658782032t_unit)) of role axiom named fact_10_abs__fun__strict
% 0.50/0.65  A new axiom: (forall (R:set_Pr451126599t_unit), (((eq refine787176636t_unit) ((refine838861686t_unit R) bot_bo658782032t_unit)) bot_bo658782032t_unit))
% 0.50/0.65  FOF formula (forall (R:set_Pr1720557880unit_a), (((eq refine424419629nres_a) ((refine364464487unit_a R) bot_bo658782032t_unit)) bot_bo529555393nres_a)) of role axiom named fact_11_abs__fun__strict
% 0.50/0.65  A new axiom: (forall (R:set_Pr1720557880unit_a), (((eq refine424419629nres_a) ((refine364464487unit_a R) bot_bo658782032t_unit)) bot_bo529555393nres_a))
% 0.50/0.65  FOF formula (forall (R:set_Pr1628433942t_unit), (((eq refine787176636t_unit) ((refine341651653t_unit R) bot_bo529555393nres_a)) bot_bo658782032t_unit)) of role axiom named fact_12_abs__fun__strict
% 0.50/0.65  A new axiom: (forall (R:set_Pr1628433942t_unit), (((eq refine787176636t_unit) ((refine341651653t_unit R) bot_bo529555393nres_a)) bot_bo658782032t_unit))
% 0.50/0.65  FOF formula (forall (R:set_Product_prod_a_a), (((eq refine424419629nres_a) ((refine1136779702un_a_a R) bot_bo529555393nres_a)) bot_bo529555393nres_a)) of role axiom named fact_13_abs__fun__strict
% 0.50/0.65  A new axiom: (forall (R:set_Product_prod_a_a), (((eq refine424419629nres_a) ((refine1136779702un_a_a R) bot_bo529555393nres_a)) bot_bo529555393nres_a))
% 0.50/0.65  FOF formula (forall (R:set_Pr451126599t_unit), (((eq refine787176636t_unit) ((refine944483349t_unit R) bot_bo658782032t_unit)) bot_bo658782032t_unit)) of role axiom named fact_14_conc__fun__strict
% 0.50/0.65  A new axiom: (forall (R:set_Pr451126599t_unit), (((eq refine787176636t_unit) ((refine944483349t_unit R) bot_bo658782032t_unit)) bot_bo658782032t_unit))
% 0.50/0.65  FOF formula (forall (R:set_Pr1628433942t_unit), (((eq refine424419629nres_a) ((refine2021053540t_unit R) bot_bo658782032t_unit)) bot_bo529555393nres_a)) of role axiom named fact_15_conc__fun__strict
% 0.50/0.65  A new axiom: (forall (R:set_Pr1628433942t_unit), (((eq refine424419629nres_a) ((refine2021053540t_unit R) bot_bo658782032t_unit)) bot_bo529555393nres_a))
% 0.50/0.65  FOF formula (forall (R:set_Pr1720557880unit_a), (((eq refine787176636t_unit) ((refine2043866374unit_a R) bot_bo529555393nres_a)) bot_bo658782032t_unit)) of role axiom named fact_16_conc__fun__strict
% 0.50/0.65  A new axiom: (forall (R:set_Pr1720557880unit_a), (((eq refine787176636t_unit) ((refine2043866374unit_a R) bot_bo529555393nres_a)) bot_bo658782032t_unit))
% 0.50/0.65  FOF formula (forall (R:set_Product_prod_a_a), (((eq refine424419629nres_a) ((refine1441824853un_a_a R) bot_bo529555393nres_a)) bot_bo529555393nres_a)) of role axiom named fact_17_conc__fun__strict
% 0.50/0.65  A new axiom: (forall (R:set_Product_prod_a_a), (((eq refine424419629nres_a) ((refine1441824853un_a_a R) bot_bo529555393nres_a)) bot_bo529555393nres_a))
% 0.50/0.65  FOF formula (forall (X:product_unit), (not (((eq refine787176636t_unit) bot_bo658782032t_unit) (refine1420258419t_unit X)))) of role axiom named fact_18_nres__inequalities_I5_J
% 0.50/0.65  A new axiom: (forall (X:product_unit), (not (((eq refine787176636t_unit) bot_bo658782032t_unit) (refine1420258419t_unit X))))
% 0.50/0.65  FOF formula (forall (X:a), (not (((eq refine424419629nres_a) bot_bo529555393nres_a) (refine2063221604TURN_a X)))) of role axiom named fact_19_nres__inequalities_I5_J
% 0.50/0.65  A new axiom: (forall (X:a), (not (((eq refine424419629nres_a) bot_bo529555393nres_a) (refine2063221604TURN_a X))))
% 0.50/0.65  FOF formula (((eq (product_unit->Prop)) (refine558004794t_unit bot_bo658782032t_unit)) (fun (Uu:product_unit)=> False)) of role axiom named fact_20_inres__simps_I4_J
% 0.50/0.65  A new axiom: (((eq (product_unit->Prop)) (refine558004794t_unit bot_bo658782032t_unit)) (fun (Uu:product_unit)=> False))
% 0.50/0.66  FOF formula (((eq (a->Prop)) (refine1001002027nres_a bot_bo529555393nres_a)) (fun (Uu:a)=> False)) of role axiom named fact_21_inres__simps_I4_J
% 0.50/0.66  A new axiom: (((eq (a->Prop)) (refine1001002027nres_a bot_bo529555393nres_a)) (fun (Uu:a)=> False))
% 0.50/0.66  FOF formula (forall (M:refine787176636t_unit), (((eq Prop) ((ord_le1051254044t_unit M) bot_bo658782032t_unit)) (((eq refine787176636t_unit) M) bot_bo658782032t_unit))) of role axiom named fact_22_nres__order__simps_I2_J
% 0.50/0.66  A new axiom: (forall (M:refine787176636t_unit), (((eq Prop) ((ord_le1051254044t_unit M) bot_bo658782032t_unit)) (((eq refine787176636t_unit) M) bot_bo658782032t_unit)))
% 0.50/0.66  FOF formula (forall (M:refine424419629nres_a), (((eq Prop) ((ord_le519537037nres_a M) bot_bo529555393nres_a)) (((eq refine424419629nres_a) M) bot_bo529555393nres_a))) of role axiom named fact_23_nres__order__simps_I2_J
% 0.50/0.66  A new axiom: (forall (M:refine424419629nres_a), (((eq Prop) ((ord_le519537037nres_a M) bot_bo529555393nres_a)) (((eq refine424419629nres_a) M) bot_bo529555393nres_a)))
% 0.50/0.66  FOF formula (refine579265252t_unit bot_bo658782032t_unit) of role axiom named fact_24_nofail__simps_I4_J
% 0.50/0.66  A new axiom: (refine579265252t_unit bot_bo658782032t_unit)
% 0.50/0.66  FOF formula (refine412683989fail_a bot_bo529555393nres_a) of role axiom named fact_25_nofail__simps_I4_J
% 0.50/0.66  A new axiom: (refine412683989fail_a bot_bo529555393nres_a)
% 0.50/0.66  FOF formula (forall (F:(product_unit->refine424419629nres_a)), (((eq refine424419629nres_a) ((refine119808503unit_a top_to177290092t_unit) F)) top_to231829469nres_a)) of role axiom named fact_26_bind__FAIL
% 0.50/0.66  A new axiom: (forall (F:(product_unit->refine424419629nres_a)), (((eq refine424419629nres_a) ((refine119808503unit_a top_to177290092t_unit) F)) top_to231829469nres_a))
% 0.50/0.66  FOF formula (forall (F:(a->refine424419629nres_a)), (((eq refine424419629nres_a) ((refine436832838nd_a_a top_to231829469nres_a) F)) top_to231829469nres_a)) of role axiom named fact_27_bind__FAIL
% 0.50/0.66  A new axiom: (forall (F:(a->refine424419629nres_a)), (((eq refine424419629nres_a) ((refine436832838nd_a_a top_to231829469nres_a) F)) top_to231829469nres_a))
% 0.50/0.66  FOF formula (forall (F:(a->refine787176636t_unit)), (((eq refine787176636t_unit) ((refine96995669t_unit top_to231829469nres_a) F)) top_to177290092t_unit)) of role axiom named fact_28_bind__FAIL
% 0.50/0.66  A new axiom: (forall (F:(a->refine787176636t_unit)), (((eq refine787176636t_unit) ((refine96995669t_unit top_to231829469nres_a) F)) top_to177290092t_unit))
% 0.50/0.66  FOF formula (forall (F:(product_unit->refine787176636t_unit)), (((eq refine787176636t_unit) ((refine681446406t_unit top_to177290092t_unit) F)) top_to177290092t_unit)) of role axiom named fact_29_bind__FAIL
% 0.50/0.66  A new axiom: (forall (F:(product_unit->refine787176636t_unit)), (((eq refine787176636t_unit) ((refine681446406t_unit top_to177290092t_unit) F)) top_to177290092t_unit))
% 0.50/0.66  FOF formula (forall (M:refine424419629nres_a), ((ord_le519537037nres_a bot_bo529555393nres_a) M)) of role axiom named fact_30_nres__order__simps_I1_J
% 0.50/0.66  A new axiom: (forall (M:refine424419629nres_a), ((ord_le519537037nres_a bot_bo529555393nres_a) M))
% 0.50/0.66  FOF formula (forall (M:refine787176636t_unit), ((ord_le1051254044t_unit bot_bo658782032t_unit) M)) of role axiom named fact_31_nres__order__simps_I1_J
% 0.50/0.66  A new axiom: (forall (M:refine787176636t_unit), ((ord_le1051254044t_unit bot_bo658782032t_unit) M))
% 0.50/0.66  FOF formula (forall (X:product_unit) (Y:product_unit), (((eq Prop) (((eq refine787176636t_unit) (refine1420258419t_unit X)) (refine1420258419t_unit Y))) (((eq product_unit) X) Y))) of role axiom named fact_32_nres__more__simps_I6_J
% 0.50/0.66  A new axiom: (forall (X:product_unit) (Y:product_unit), (((eq Prop) (((eq refine787176636t_unit) (refine1420258419t_unit X)) (refine1420258419t_unit Y))) (((eq product_unit) X) Y)))
% 0.50/0.66  FOF formula (forall (X:a) (Y:a), (((eq Prop) (((eq refine424419629nres_a) (refine2063221604TURN_a X)) (refine2063221604TURN_a Y))) (((eq a) X) Y))) of role axiom named fact_33_nres__more__simps_I6_J
% 0.50/0.66  A new axiom: (forall (X:a) (Y:a), (((eq Prop) (((eq refine424419629nres_a) (refine2063221604TURN_a X)) (refine2063221604TURN_a Y))) (((eq a) X) Y)))
% 0.50/0.67  FOF formula (forall (M:refine424419629nres_a), (((eq Prop) ((ord_le519537037nres_a top_to231829469nres_a) M)) (((eq refine424419629nres_a) M) top_to231829469nres_a))) of role axiom named fact_34_nres__order__simps_I4_J
% 0.50/0.67  A new axiom: (forall (M:refine424419629nres_a), (((eq Prop) ((ord_le519537037nres_a top_to231829469nres_a) M)) (((eq refine424419629nres_a) M) top_to231829469nres_a)))
% 0.50/0.67  FOF formula (forall (M:refine787176636t_unit), (((eq Prop) ((ord_le1051254044t_unit top_to177290092t_unit) M)) (((eq refine787176636t_unit) M) top_to177290092t_unit))) of role axiom named fact_35_nres__order__simps_I4_J
% 0.50/0.67  A new axiom: (forall (M:refine787176636t_unit), (((eq Prop) ((ord_le1051254044t_unit top_to177290092t_unit) M)) (((eq refine787176636t_unit) M) top_to177290092t_unit)))
% 0.50/0.67  FOF formula ((refine412683989fail_a top_to231829469nres_a)->False) of role axiom named fact_36_nofail__simps_I1_J
% 0.50/0.67  A new axiom: ((refine412683989fail_a top_to231829469nres_a)->False)
% 0.50/0.67  FOF formula ((refine579265252t_unit top_to177290092t_unit)->False) of role axiom named fact_37_nofail__simps_I1_J
% 0.50/0.67  A new axiom: ((refine579265252t_unit top_to177290092t_unit)->False)
% 0.50/0.67  FOF formula (((eq (a->Prop)) (refine1001002027nres_a top_to231829469nres_a)) (fun (Uu:a)=> True)) of role axiom named fact_38_inres__simps_I1_J
% 0.50/0.67  A new axiom: (((eq (a->Prop)) (refine1001002027nres_a top_to231829469nres_a)) (fun (Uu:a)=> True))
% 0.50/0.67  FOF formula (((eq (product_unit->Prop)) (refine558004794t_unit top_to177290092t_unit)) (fun (Uu:product_unit)=> True)) of role axiom named fact_39_inres__simps_I1_J
% 0.50/0.67  A new axiom: (((eq (product_unit->Prop)) (refine558004794t_unit top_to177290092t_unit)) (fun (Uu:product_unit)=> True))
% 0.50/0.67  FOF formula (forall (R:set_Product_prod_a_a) (S:refine424419629nres_a), (((eq Prop) (((eq refine424419629nres_a) top_to231829469nres_a) ((refine1441824853un_a_a R) S))) (((eq refine424419629nres_a) S) top_to231829469nres_a))) of role axiom named fact_40_conc__fun__fail__iff_I2_J
% 0.50/0.67  A new axiom: (forall (R:set_Product_prod_a_a) (S:refine424419629nres_a), (((eq Prop) (((eq refine424419629nres_a) top_to231829469nres_a) ((refine1441824853un_a_a R) S))) (((eq refine424419629nres_a) S) top_to231829469nres_a)))
% 0.50/0.67  FOF formula (forall (R:set_Pr1720557880unit_a) (S:refine424419629nres_a), (((eq Prop) (((eq refine787176636t_unit) top_to177290092t_unit) ((refine2043866374unit_a R) S))) (((eq refine424419629nres_a) S) top_to231829469nres_a))) of role axiom named fact_41_conc__fun__fail__iff_I2_J
% 0.50/0.67  A new axiom: (forall (R:set_Pr1720557880unit_a) (S:refine424419629nres_a), (((eq Prop) (((eq refine787176636t_unit) top_to177290092t_unit) ((refine2043866374unit_a R) S))) (((eq refine424419629nres_a) S) top_to231829469nres_a)))
% 0.50/0.67  FOF formula (forall (R:set_Pr1628433942t_unit) (S:refine787176636t_unit), (((eq Prop) (((eq refine424419629nres_a) top_to231829469nres_a) ((refine2021053540t_unit R) S))) (((eq refine787176636t_unit) S) top_to177290092t_unit))) of role axiom named fact_42_conc__fun__fail__iff_I2_J
% 0.50/0.67  A new axiom: (forall (R:set_Pr1628433942t_unit) (S:refine787176636t_unit), (((eq Prop) (((eq refine424419629nres_a) top_to231829469nres_a) ((refine2021053540t_unit R) S))) (((eq refine787176636t_unit) S) top_to177290092t_unit)))
% 0.50/0.67  FOF formula (forall (R:set_Pr451126599t_unit) (S:refine787176636t_unit), (((eq Prop) (((eq refine787176636t_unit) top_to177290092t_unit) ((refine944483349t_unit R) S))) (((eq refine787176636t_unit) S) top_to177290092t_unit))) of role axiom named fact_43_conc__fun__fail__iff_I2_J
% 0.50/0.67  A new axiom: (forall (R:set_Pr451126599t_unit) (S:refine787176636t_unit), (((eq Prop) (((eq refine787176636t_unit) top_to177290092t_unit) ((refine944483349t_unit R) S))) (((eq refine787176636t_unit) S) top_to177290092t_unit)))
% 0.50/0.67  FOF formula (forall (R:set_Product_prod_a_a) (S:refine424419629nres_a), (((eq Prop) (((eq refine424419629nres_a) ((refine1441824853un_a_a R) S)) top_to231829469nres_a)) (((eq refine424419629nres_a) S) top_to231829469nres_a))) of role axiom named fact_44_conc__fun__fail__iff_I1_J
% 0.50/0.67  A new axiom: (forall (R:set_Product_prod_a_a) (S:refine424419629nres_a), (((eq Prop) (((eq refine424419629nres_a) ((refine1441824853un_a_a R) S)) top_to231829469nres_a)) (((eq refine424419629nres_a) S) top_to231829469nres_a)))
% 0.50/0.67  FOF formula (forall (R:set_Pr1720557880unit_a) (S:refine424419629nres_a), (((eq Prop) (((eq refine787176636t_unit) ((refine2043866374unit_a R) S)) top_to177290092t_unit)) (((eq refine424419629nres_a) S) top_to231829469nres_a))) of role axiom named fact_45_conc__fun__fail__iff_I1_J
% 0.50/0.67  A new axiom: (forall (R:set_Pr1720557880unit_a) (S:refine424419629nres_a), (((eq Prop) (((eq refine787176636t_unit) ((refine2043866374unit_a R) S)) top_to177290092t_unit)) (((eq refine424419629nres_a) S) top_to231829469nres_a)))
% 0.50/0.67  FOF formula (forall (R:set_Pr1628433942t_unit) (S:refine787176636t_unit), (((eq Prop) (((eq refine424419629nres_a) ((refine2021053540t_unit R) S)) top_to231829469nres_a)) (((eq refine787176636t_unit) S) top_to177290092t_unit))) of role axiom named fact_46_conc__fun__fail__iff_I1_J
% 0.50/0.67  A new axiom: (forall (R:set_Pr1628433942t_unit) (S:refine787176636t_unit), (((eq Prop) (((eq refine424419629nres_a) ((refine2021053540t_unit R) S)) top_to231829469nres_a)) (((eq refine787176636t_unit) S) top_to177290092t_unit)))
% 0.50/0.67  FOF formula (forall (R:set_Pr451126599t_unit) (S:refine787176636t_unit), (((eq Prop) (((eq refine787176636t_unit) ((refine944483349t_unit R) S)) top_to177290092t_unit)) (((eq refine787176636t_unit) S) top_to177290092t_unit))) of role axiom named fact_47_conc__fun__fail__iff_I1_J
% 0.50/0.67  A new axiom: (forall (R:set_Pr451126599t_unit) (S:refine787176636t_unit), (((eq Prop) (((eq refine787176636t_unit) ((refine944483349t_unit R) S)) top_to177290092t_unit)) (((eq refine787176636t_unit) S) top_to177290092t_unit)))
% 0.50/0.67  FOF formula (forall (R:set_Product_prod_a_a), (((eq refine424419629nres_a) ((refine1441824853un_a_a R) top_to231829469nres_a)) top_to231829469nres_a)) of role axiom named fact_48_conc__fun__FAIL
% 0.50/0.67  A new axiom: (forall (R:set_Product_prod_a_a), (((eq refine424419629nres_a) ((refine1441824853un_a_a R) top_to231829469nres_a)) top_to231829469nres_a))
% 0.50/0.67  FOF formula (forall (R:set_Pr1720557880unit_a), (((eq refine787176636t_unit) ((refine2043866374unit_a R) top_to231829469nres_a)) top_to177290092t_unit)) of role axiom named fact_49_conc__fun__FAIL
% 0.50/0.67  A new axiom: (forall (R:set_Pr1720557880unit_a), (((eq refine787176636t_unit) ((refine2043866374unit_a R) top_to231829469nres_a)) top_to177290092t_unit))
% 0.50/0.67  FOF formula (forall (R:set_Pr1628433942t_unit), (((eq refine424419629nres_a) ((refine2021053540t_unit R) top_to177290092t_unit)) top_to231829469nres_a)) of role axiom named fact_50_conc__fun__FAIL
% 0.50/0.67  A new axiom: (forall (R:set_Pr1628433942t_unit), (((eq refine424419629nres_a) ((refine2021053540t_unit R) top_to177290092t_unit)) top_to231829469nres_a))
% 0.50/0.67  FOF formula (forall (R:set_Pr451126599t_unit), (((eq refine787176636t_unit) ((refine944483349t_unit R) top_to177290092t_unit)) top_to177290092t_unit)) of role axiom named fact_51_conc__fun__FAIL
% 0.50/0.67  A new axiom: (forall (R:set_Pr451126599t_unit), (((eq refine787176636t_unit) ((refine944483349t_unit R) top_to177290092t_unit)) top_to177290092t_unit))
% 0.50/0.67  FOF formula (forall (X:product_unit) (Y:product_unit), (((eq Prop) ((ord_le1051254044t_unit (refine1420258419t_unit X)) (refine1420258419t_unit Y))) (((eq product_unit) X) Y))) of role axiom named fact_52_nres__order__simps_I20_J
% 0.50/0.67  A new axiom: (forall (X:product_unit) (Y:product_unit), (((eq Prop) ((ord_le1051254044t_unit (refine1420258419t_unit X)) (refine1420258419t_unit Y))) (((eq product_unit) X) Y)))
% 0.50/0.67  FOF formula (forall (X:a) (Y:a), (((eq Prop) ((ord_le519537037nres_a (refine2063221604TURN_a X)) (refine2063221604TURN_a Y))) (((eq a) X) Y))) of role axiom named fact_53_nres__order__simps_I20_J
% 0.50/0.67  A new axiom: (forall (X:a) (Y:a), (((eq Prop) ((ord_le519537037nres_a (refine2063221604TURN_a X)) (refine2063221604TURN_a Y))) (((eq a) X) Y)))
% 0.50/0.67  FOF formula (forall (R:set_Product_prod_a_a), (((eq refine424419629nres_a) ((refine1136779702un_a_a R) top_to231829469nres_a)) top_to231829469nres_a)) of role axiom named fact_54_abs__fun__simps_I1_J
% 0.50/0.67  A new axiom: (forall (R:set_Product_prod_a_a), (((eq refine424419629nres_a) ((refine1136779702un_a_a R) top_to231829469nres_a)) top_to231829469nres_a))
% 0.50/0.68  FOF formula (forall (R:set_Pr1628433942t_unit), (((eq refine787176636t_unit) ((refine341651653t_unit R) top_to231829469nres_a)) top_to177290092t_unit)) of role axiom named fact_55_abs__fun__simps_I1_J
% 0.50/0.68  A new axiom: (forall (R:set_Pr1628433942t_unit), (((eq refine787176636t_unit) ((refine341651653t_unit R) top_to231829469nres_a)) top_to177290092t_unit))
% 0.50/0.68  FOF formula (forall (R:set_Pr1720557880unit_a), (((eq refine424419629nres_a) ((refine364464487unit_a R) top_to177290092t_unit)) top_to231829469nres_a)) of role axiom named fact_56_abs__fun__simps_I1_J
% 0.50/0.68  A new axiom: (forall (R:set_Pr1720557880unit_a), (((eq refine424419629nres_a) ((refine364464487unit_a R) top_to177290092t_unit)) top_to231829469nres_a))
% 0.50/0.68  FOF formula (forall (R:set_Pr451126599t_unit), (((eq refine787176636t_unit) ((refine838861686t_unit R) top_to177290092t_unit)) top_to177290092t_unit)) of role axiom named fact_57_abs__fun__simps_I1_J
% 0.50/0.68  A new axiom: (forall (R:set_Pr451126599t_unit), (((eq refine787176636t_unit) ((refine838861686t_unit R) top_to177290092t_unit)) top_to177290092t_unit))
% 0.50/0.68  FOF formula (forall (X:product_unit), (refine579265252t_unit (refine1420258419t_unit X))) of role axiom named fact_58_nofail__simps_I3_J
% 0.50/0.68  A new axiom: (forall (X:product_unit), (refine579265252t_unit (refine1420258419t_unit X)))
% 0.50/0.68  FOF formula (forall (X:a), (refine412683989fail_a (refine2063221604TURN_a X))) of role axiom named fact_59_nofail__simps_I3_J
% 0.50/0.68  A new axiom: (forall (X:a), (refine412683989fail_a (refine2063221604TURN_a X)))
% 0.50/0.68  FOF formula (forall (X:product_unit), (((eq (product_unit->Prop)) (refine558004794t_unit (refine1420258419t_unit X))) ((fun (Y2:product_unit) (Z:product_unit)=> (((eq product_unit) Y2) Z)) X))) of role axiom named fact_60_inres__simps_I3_J
% 0.50/0.68  A new axiom: (forall (X:product_unit), (((eq (product_unit->Prop)) (refine558004794t_unit (refine1420258419t_unit X))) ((fun (Y2:product_unit) (Z:product_unit)=> (((eq product_unit) Y2) Z)) X)))
% 0.50/0.68  FOF formula (forall (X:a), (((eq (a->Prop)) (refine1001002027nres_a (refine2063221604TURN_a X))) ((fun (Y2:a) (Z:a)=> (((eq a) Y2) Z)) X))) of role axiom named fact_61_inres__simps_I3_J
% 0.50/0.68  A new axiom: (forall (X:a), (((eq (a->Prop)) (refine1001002027nres_a (refine2063221604TURN_a X))) ((fun (Y2:a) (Z:a)=> (((eq a) Y2) Z)) X)))
% 0.50/0.68  FOF formula (forall (S:refine424419629nres_a), (((eq Prop) (not (((eq refine424419629nres_a) top_to231829469nres_a) S))) (refine412683989fail_a S))) of role axiom named fact_62_intro__nofail_I2_J
% 0.50/0.68  A new axiom: (forall (S:refine424419629nres_a), (((eq Prop) (not (((eq refine424419629nres_a) top_to231829469nres_a) S))) (refine412683989fail_a S)))
% 0.50/0.68  FOF formula (forall (S:refine787176636t_unit), (((eq Prop) (not (((eq refine787176636t_unit) top_to177290092t_unit) S))) (refine579265252t_unit S))) of role axiom named fact_63_intro__nofail_I2_J
% 0.50/0.68  A new axiom: (forall (S:refine787176636t_unit), (((eq Prop) (not (((eq refine787176636t_unit) top_to177290092t_unit) S))) (refine579265252t_unit S)))
% 0.50/0.68  FOF formula (forall (M:refine424419629nres_a), ((ord_le519537037nres_a M) top_to231829469nres_a)) of role axiom named fact_64_nres__order__simps_I3_J
% 0.50/0.68  A new axiom: (forall (M:refine424419629nres_a), ((ord_le519537037nres_a M) top_to231829469nres_a))
% 0.50/0.68  FOF formula (forall (M:refine787176636t_unit), ((ord_le1051254044t_unit M) top_to177290092t_unit)) of role axiom named fact_65_nres__order__simps_I3_J
% 0.50/0.68  A new axiom: (forall (M:refine787176636t_unit), ((ord_le1051254044t_unit M) top_to177290092t_unit))
% 0.50/0.68  FOF formula (forall (X:product_unit), (not (((eq refine787176636t_unit) top_to177290092t_unit) (refine1420258419t_unit X)))) of role axiom named fact_66_nres__inequalities_I3_J
% 0.50/0.68  A new axiom: (forall (X:product_unit), (not (((eq refine787176636t_unit) top_to177290092t_unit) (refine1420258419t_unit X))))
% 0.50/0.68  FOF formula (forall (X:a), (not (((eq refine424419629nres_a) top_to231829469nres_a) (refine2063221604TURN_a X)))) of role axiom named fact_67_nres__inequalities_I3_J
% 0.50/0.68  A new axiom: (forall (X:a), (not (((eq refine424419629nres_a) top_to231829469nres_a) (refine2063221604TURN_a X))))
% 0.50/0.69  FOF formula (forall (A:refine424419629nres_a) (B:refine424419629nres_a) (R:set_Product_prod_a_a) (C:refine424419629nres_a), (((ord_le519537037nres_a A) B)->(((ord_le519537037nres_a ((refine1136779702un_a_a R) B)) C)->((ord_le519537037nres_a ((refine1136779702un_a_a R) A)) C)))) of role axiom named fact_68_abs__trans__additional_I1_J
% 0.50/0.69  A new axiom: (forall (A:refine424419629nres_a) (B:refine424419629nres_a) (R:set_Product_prod_a_a) (C:refine424419629nres_a), (((ord_le519537037nres_a A) B)->(((ord_le519537037nres_a ((refine1136779702un_a_a R) B)) C)->((ord_le519537037nres_a ((refine1136779702un_a_a R) A)) C))))
% 0.50/0.69  FOF formula (forall (A:refine424419629nres_a) (B:refine424419629nres_a) (R:set_Pr1628433942t_unit) (C:refine787176636t_unit), (((ord_le519537037nres_a A) B)->(((ord_le1051254044t_unit ((refine341651653t_unit R) B)) C)->((ord_le1051254044t_unit ((refine341651653t_unit R) A)) C)))) of role axiom named fact_69_abs__trans__additional_I1_J
% 0.50/0.69  A new axiom: (forall (A:refine424419629nres_a) (B:refine424419629nres_a) (R:set_Pr1628433942t_unit) (C:refine787176636t_unit), (((ord_le519537037nres_a A) B)->(((ord_le1051254044t_unit ((refine341651653t_unit R) B)) C)->((ord_le1051254044t_unit ((refine341651653t_unit R) A)) C))))
% 0.50/0.69  FOF formula (forall (A:refine787176636t_unit) (B:refine787176636t_unit) (R:set_Pr1720557880unit_a) (C:refine424419629nres_a), (((ord_le1051254044t_unit A) B)->(((ord_le519537037nres_a ((refine364464487unit_a R) B)) C)->((ord_le519537037nres_a ((refine364464487unit_a R) A)) C)))) of role axiom named fact_70_abs__trans__additional_I1_J
% 0.50/0.69  A new axiom: (forall (A:refine787176636t_unit) (B:refine787176636t_unit) (R:set_Pr1720557880unit_a) (C:refine424419629nres_a), (((ord_le1051254044t_unit A) B)->(((ord_le519537037nres_a ((refine364464487unit_a R) B)) C)->((ord_le519537037nres_a ((refine364464487unit_a R) A)) C))))
% 0.50/0.69  FOF formula (forall (A:refine787176636t_unit) (B:refine787176636t_unit) (R:set_Pr451126599t_unit) (C:refine787176636t_unit), (((ord_le1051254044t_unit A) B)->(((ord_le1051254044t_unit ((refine838861686t_unit R) B)) C)->((ord_le1051254044t_unit ((refine838861686t_unit R) A)) C)))) of role axiom named fact_71_abs__trans__additional_I1_J
% 0.50/0.69  A new axiom: (forall (A:refine787176636t_unit) (B:refine787176636t_unit) (R:set_Pr451126599t_unit) (C:refine787176636t_unit), (((ord_le1051254044t_unit A) B)->(((ord_le1051254044t_unit ((refine838861686t_unit R) B)) C)->((ord_le1051254044t_unit ((refine838861686t_unit R) A)) C))))
% 0.50/0.69  FOF formula (forall (A:refine424419629nres_a) (R:set_Product_prod_a_a) (B:refine424419629nres_a) (C:refine424419629nres_a), (((ord_le519537037nres_a A) ((refine1441824853un_a_a R) B))->(((ord_le519537037nres_a B) C)->((ord_le519537037nres_a A) ((refine1441824853un_a_a R) C))))) of role axiom named fact_72_conc__trans__additional_I1_J
% 0.50/0.69  A new axiom: (forall (A:refine424419629nres_a) (R:set_Product_prod_a_a) (B:refine424419629nres_a) (C:refine424419629nres_a), (((ord_le519537037nres_a A) ((refine1441824853un_a_a R) B))->(((ord_le519537037nres_a B) C)->((ord_le519537037nres_a A) ((refine1441824853un_a_a R) C)))))
% 0.50/0.69  FOF formula (forall (A:refine787176636t_unit) (R:set_Pr1720557880unit_a) (B:refine424419629nres_a) (C:refine424419629nres_a), (((ord_le1051254044t_unit A) ((refine2043866374unit_a R) B))->(((ord_le519537037nres_a B) C)->((ord_le1051254044t_unit A) ((refine2043866374unit_a R) C))))) of role axiom named fact_73_conc__trans__additional_I1_J
% 0.50/0.69  A new axiom: (forall (A:refine787176636t_unit) (R:set_Pr1720557880unit_a) (B:refine424419629nres_a) (C:refine424419629nres_a), (((ord_le1051254044t_unit A) ((refine2043866374unit_a R) B))->(((ord_le519537037nres_a B) C)->((ord_le1051254044t_unit A) ((refine2043866374unit_a R) C)))))
% 0.50/0.69  FOF formula (forall (A:refine424419629nres_a) (R:set_Pr1628433942t_unit) (B:refine787176636t_unit) (C:refine787176636t_unit), (((ord_le519537037nres_a A) ((refine2021053540t_unit R) B))->(((ord_le1051254044t_unit B) C)->((ord_le519537037nres_a A) ((refine2021053540t_unit R) C))))) of role axiom named fact_74_conc__trans__additional_I1_J
% 0.50/0.70  A new axiom: (forall (A:refine424419629nres_a) (R:set_Pr1628433942t_unit) (B:refine787176636t_unit) (C:refine787176636t_unit), (((ord_le519537037nres_a A) ((refine2021053540t_unit R) B))->(((ord_le1051254044t_unit B) C)->((ord_le519537037nres_a A) ((refine2021053540t_unit R) C)))))
% 0.50/0.70  FOF formula (forall (A:refine787176636t_unit) (R:set_Pr451126599t_unit) (B:refine787176636t_unit) (C:refine787176636t_unit), (((ord_le1051254044t_unit A) ((refine944483349t_unit R) B))->(((ord_le1051254044t_unit B) C)->((ord_le1051254044t_unit A) ((refine944483349t_unit R) C))))) of role axiom named fact_75_conc__trans__additional_I1_J
% 0.50/0.70  A new axiom: (forall (A:refine787176636t_unit) (R:set_Pr451126599t_unit) (B:refine787176636t_unit) (C:refine787176636t_unit), (((ord_le1051254044t_unit A) ((refine944483349t_unit R) B))->(((ord_le1051254044t_unit B) C)->((ord_le1051254044t_unit A) ((refine944483349t_unit R) C)))))
% 0.50/0.70  FOF formula (forall (A2:refine424419629nres_a) (F:(refine424419629nres_a->refine424419629nres_a)) (B2:refine424419629nres_a) (C2:refine424419629nres_a), (((ord_le519537037nres_a A2) (F B2))->(((ord_le519537037nres_a B2) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a A2) (F C2)))))) of role axiom named fact_76_order__subst1
% 0.50/0.70  A new axiom: (forall (A2:refine424419629nres_a) (F:(refine424419629nres_a->refine424419629nres_a)) (B2:refine424419629nres_a) (C2:refine424419629nres_a), (((ord_le519537037nres_a A2) (F B2))->(((ord_le519537037nres_a B2) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a A2) (F C2))))))
% 0.50/0.70  FOF formula (forall (A2:refine424419629nres_a) (F:(refine787176636t_unit->refine424419629nres_a)) (B2:refine787176636t_unit) (C2:refine787176636t_unit), (((ord_le519537037nres_a A2) (F B2))->(((ord_le1051254044t_unit B2) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a A2) (F C2)))))) of role axiom named fact_77_order__subst1
% 0.50/0.70  A new axiom: (forall (A2:refine424419629nres_a) (F:(refine787176636t_unit->refine424419629nres_a)) (B2:refine787176636t_unit) (C2:refine787176636t_unit), (((ord_le519537037nres_a A2) (F B2))->(((ord_le1051254044t_unit B2) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a A2) (F C2))))))
% 0.50/0.70  FOF formula (forall (A2:refine787176636t_unit) (F:(refine424419629nres_a->refine787176636t_unit)) (B2:refine424419629nres_a) (C2:refine424419629nres_a), (((ord_le1051254044t_unit A2) (F B2))->(((ord_le519537037nres_a B2) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit A2) (F C2)))))) of role axiom named fact_78_order__subst1
% 0.50/0.70  A new axiom: (forall (A2:refine787176636t_unit) (F:(refine424419629nres_a->refine787176636t_unit)) (B2:refine424419629nres_a) (C2:refine424419629nres_a), (((ord_le1051254044t_unit A2) (F B2))->(((ord_le519537037nres_a B2) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit A2) (F C2))))))
% 0.50/0.70  FOF formula (forall (A2:refine787176636t_unit) (F:(refine787176636t_unit->refine787176636t_unit)) (B2:refine787176636t_unit) (C2:refine787176636t_unit), (((ord_le1051254044t_unit A2) (F B2))->(((ord_le1051254044t_unit B2) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit A2) (F C2)))))) of role axiom named fact_79_order__subst1
% 0.50/0.70  A new axiom: (forall (A2:refine787176636t_unit) (F:(refine787176636t_unit->refine787176636t_unit)) (B2:refine787176636t_unit) (C2:refine787176636t_unit), (((ord_le1051254044t_unit A2) (F B2))->(((ord_le1051254044t_unit B2) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit A2) (F C2))))))
% 0.56/0.72  FOF formula (forall (A2:refine424419629nres_a) (F:(set_a->refine424419629nres_a)) (B2:set_a) (C2:set_a), (((ord_le519537037nres_a A2) (F B2))->(((ord_less_eq_set_a B2) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a A2) (F C2)))))) of role axiom named fact_80_order__subst1
% 0.56/0.72  A new axiom: (forall (A2:refine424419629nres_a) (F:(set_a->refine424419629nres_a)) (B2:set_a) (C2:set_a), (((ord_le519537037nres_a A2) (F B2))->(((ord_less_eq_set_a B2) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a A2) (F C2))))))
% 0.56/0.72  FOF formula (forall (A2:refine787176636t_unit) (F:(set_a->refine787176636t_unit)) (B2:set_a) (C2:set_a), (((ord_le1051254044t_unit A2) (F B2))->(((ord_less_eq_set_a B2) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit A2) (F C2)))))) of role axiom named fact_81_order__subst1
% 0.56/0.72  A new axiom: (forall (A2:refine787176636t_unit) (F:(set_a->refine787176636t_unit)) (B2:set_a) (C2:set_a), (((ord_le1051254044t_unit A2) (F B2))->(((ord_less_eq_set_a B2) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit A2) (F C2))))))
% 0.56/0.72  FOF formula (forall (A2:set_a) (F:(refine424419629nres_a->set_a)) (B2:refine424419629nres_a) (C2:refine424419629nres_a), (((ord_less_eq_set_a A2) (F B2))->(((ord_le519537037nres_a B2) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a A2) (F C2)))))) of role axiom named fact_82_order__subst1
% 0.56/0.72  A new axiom: (forall (A2:set_a) (F:(refine424419629nres_a->set_a)) (B2:refine424419629nres_a) (C2:refine424419629nres_a), (((ord_less_eq_set_a A2) (F B2))->(((ord_le519537037nres_a B2) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a A2) (F C2))))))
% 0.56/0.72  FOF formula (forall (A2:set_a) (F:(refine787176636t_unit->set_a)) (B2:refine787176636t_unit) (C2:refine787176636t_unit), (((ord_less_eq_set_a A2) (F B2))->(((ord_le1051254044t_unit B2) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a A2) (F C2)))))) of role axiom named fact_83_order__subst1
% 0.56/0.72  A new axiom: (forall (A2:set_a) (F:(refine787176636t_unit->set_a)) (B2:refine787176636t_unit) (C2:refine787176636t_unit), (((ord_less_eq_set_a A2) (F B2))->(((ord_le1051254044t_unit B2) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a A2) (F C2))))))
% 0.56/0.72  FOF formula (forall (A2:set_a) (F:(set_a->set_a)) (B2:set_a) (C2:set_a), (((ord_less_eq_set_a A2) (F B2))->(((ord_less_eq_set_a B2) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a A2) (F C2)))))) of role axiom named fact_84_order__subst1
% 0.56/0.72  A new axiom: (forall (A2:set_a) (F:(set_a->set_a)) (B2:set_a) (C2:set_a), (((ord_less_eq_set_a A2) (F B2))->(((ord_less_eq_set_a B2) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a A2) (F C2))))))
% 0.56/0.72  FOF formula (forall (A2:refine424419629nres_a) (F:(set_Pr451126599t_unit->refine424419629nres_a)) (B2:set_Pr451126599t_unit) (C2:set_Pr451126599t_unit), (((ord_le519537037nres_a A2) (F B2))->(((ord_le2035129575t_unit B2) C2)->((forall (X2:set_Pr451126599t_unit) (Y3:set_Pr451126599t_unit), (((ord_le2035129575t_unit X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a A2) (F C2)))))) of role axiom named fact_85_order__subst1
% 0.56/0.73  A new axiom: (forall (A2:refine424419629nres_a) (F:(set_Pr451126599t_unit->refine424419629nres_a)) (B2:set_Pr451126599t_unit) (C2:set_Pr451126599t_unit), (((ord_le519537037nres_a A2) (F B2))->(((ord_le2035129575t_unit B2) C2)->((forall (X2:set_Pr451126599t_unit) (Y3:set_Pr451126599t_unit), (((ord_le2035129575t_unit X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a A2) (F C2))))))
% 0.56/0.73  FOF formula (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (F:(refine424419629nres_a->refine424419629nres_a)) (C2:refine424419629nres_a), (((ord_le519537037nres_a A2) B2)->(((ord_le519537037nres_a (F B2)) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a (F A2)) C2))))) of role axiom named fact_86_order__subst2
% 0.56/0.73  A new axiom: (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (F:(refine424419629nres_a->refine424419629nres_a)) (C2:refine424419629nres_a), (((ord_le519537037nres_a A2) B2)->(((ord_le519537037nres_a (F B2)) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a (F A2)) C2)))))
% 0.56/0.73  FOF formula (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (F:(refine424419629nres_a->refine787176636t_unit)) (C2:refine787176636t_unit), (((ord_le519537037nres_a A2) B2)->(((ord_le1051254044t_unit (F B2)) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit (F A2)) C2))))) of role axiom named fact_87_order__subst2
% 0.56/0.73  A new axiom: (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (F:(refine424419629nres_a->refine787176636t_unit)) (C2:refine787176636t_unit), (((ord_le519537037nres_a A2) B2)->(((ord_le1051254044t_unit (F B2)) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit (F A2)) C2)))))
% 0.56/0.73  FOF formula (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit) (F:(refine787176636t_unit->refine424419629nres_a)) (C2:refine424419629nres_a), (((ord_le1051254044t_unit A2) B2)->(((ord_le519537037nres_a (F B2)) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a (F A2)) C2))))) of role axiom named fact_88_order__subst2
% 0.56/0.73  A new axiom: (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit) (F:(refine787176636t_unit->refine424419629nres_a)) (C2:refine424419629nres_a), (((ord_le1051254044t_unit A2) B2)->(((ord_le519537037nres_a (F B2)) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a (F A2)) C2)))))
% 0.56/0.73  FOF formula (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit) (F:(refine787176636t_unit->refine787176636t_unit)) (C2:refine787176636t_unit), (((ord_le1051254044t_unit A2) B2)->(((ord_le1051254044t_unit (F B2)) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit (F A2)) C2))))) of role axiom named fact_89_order__subst2
% 0.56/0.73  A new axiom: (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit) (F:(refine787176636t_unit->refine787176636t_unit)) (C2:refine787176636t_unit), (((ord_le1051254044t_unit A2) B2)->(((ord_le1051254044t_unit (F B2)) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit (F A2)) C2)))))
% 0.56/0.73  FOF formula (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (F:(refine424419629nres_a->set_a)) (C2:set_a), (((ord_le519537037nres_a A2) B2)->(((ord_less_eq_set_a (F B2)) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a (F A2)) C2))))) of role axiom named fact_90_order__subst2
% 0.56/0.75  A new axiom: (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (F:(refine424419629nres_a->set_a)) (C2:set_a), (((ord_le519537037nres_a A2) B2)->(((ord_less_eq_set_a (F B2)) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a (F A2)) C2)))))
% 0.56/0.75  FOF formula (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit) (F:(refine787176636t_unit->set_a)) (C2:set_a), (((ord_le1051254044t_unit A2) B2)->(((ord_less_eq_set_a (F B2)) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a (F A2)) C2))))) of role axiom named fact_91_order__subst2
% 0.56/0.75  A new axiom: (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit) (F:(refine787176636t_unit->set_a)) (C2:set_a), (((ord_le1051254044t_unit A2) B2)->(((ord_less_eq_set_a (F B2)) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a (F A2)) C2)))))
% 0.56/0.75  FOF formula (forall (A2:set_a) (B2:set_a) (F:(set_a->refine424419629nres_a)) (C2:refine424419629nres_a), (((ord_less_eq_set_a A2) B2)->(((ord_le519537037nres_a (F B2)) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a (F A2)) C2))))) of role axiom named fact_92_order__subst2
% 0.56/0.75  A new axiom: (forall (A2:set_a) (B2:set_a) (F:(set_a->refine424419629nres_a)) (C2:refine424419629nres_a), (((ord_less_eq_set_a A2) B2)->(((ord_le519537037nres_a (F B2)) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a (F A2)) C2)))))
% 0.56/0.75  FOF formula (forall (A2:set_a) (B2:set_a) (F:(set_a->refine787176636t_unit)) (C2:refine787176636t_unit), (((ord_less_eq_set_a A2) B2)->(((ord_le1051254044t_unit (F B2)) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit (F A2)) C2))))) of role axiom named fact_93_order__subst2
% 0.56/0.75  A new axiom: (forall (A2:set_a) (B2:set_a) (F:(set_a->refine787176636t_unit)) (C2:refine787176636t_unit), (((ord_less_eq_set_a A2) B2)->(((ord_le1051254044t_unit (F B2)) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit (F A2)) C2)))))
% 0.56/0.75  FOF formula (forall (A2:set_a) (B2:set_a) (F:(set_a->set_a)) (C2:set_a), (((ord_less_eq_set_a A2) B2)->(((ord_less_eq_set_a (F B2)) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a (F A2)) C2))))) of role axiom named fact_94_order__subst2
% 0.56/0.75  A new axiom: (forall (A2:set_a) (B2:set_a) (F:(set_a->set_a)) (C2:set_a), (((ord_less_eq_set_a A2) B2)->(((ord_less_eq_set_a (F B2)) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a (F A2)) C2)))))
% 0.56/0.75  FOF formula (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (F:(refine424419629nres_a->set_Pr451126599t_unit)) (C2:set_Pr451126599t_unit), (((ord_le519537037nres_a A2) B2)->(((ord_le2035129575t_unit (F B2)) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le2035129575t_unit (F X2)) (F Y3))))->((ord_le2035129575t_unit (F A2)) C2))))) of role axiom named fact_95_order__subst2
% 0.56/0.75  A new axiom: (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (F:(refine424419629nres_a->set_Pr451126599t_unit)) (C2:set_Pr451126599t_unit), (((ord_le519537037nres_a A2) B2)->(((ord_le2035129575t_unit (F B2)) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le2035129575t_unit (F X2)) (F Y3))))->((ord_le2035129575t_unit (F A2)) C2)))))
% 0.56/0.76  FOF formula (forall (A2:refine424419629nres_a) (F:(refine424419629nres_a->refine424419629nres_a)) (B2:refine424419629nres_a) (C2:refine424419629nres_a), ((((eq refine424419629nres_a) A2) (F B2))->(((ord_le519537037nres_a B2) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a A2) (F C2)))))) of role axiom named fact_96_ord__eq__le__subst
% 0.56/0.76  A new axiom: (forall (A2:refine424419629nres_a) (F:(refine424419629nres_a->refine424419629nres_a)) (B2:refine424419629nres_a) (C2:refine424419629nres_a), ((((eq refine424419629nres_a) A2) (F B2))->(((ord_le519537037nres_a B2) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a A2) (F C2))))))
% 0.56/0.76  FOF formula (forall (A2:refine787176636t_unit) (F:(refine424419629nres_a->refine787176636t_unit)) (B2:refine424419629nres_a) (C2:refine424419629nres_a), ((((eq refine787176636t_unit) A2) (F B2))->(((ord_le519537037nres_a B2) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit A2) (F C2)))))) of role axiom named fact_97_ord__eq__le__subst
% 0.56/0.76  A new axiom: (forall (A2:refine787176636t_unit) (F:(refine424419629nres_a->refine787176636t_unit)) (B2:refine424419629nres_a) (C2:refine424419629nres_a), ((((eq refine787176636t_unit) A2) (F B2))->(((ord_le519537037nres_a B2) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit A2) (F C2))))))
% 0.56/0.76  FOF formula (forall (A2:refine424419629nres_a) (F:(refine787176636t_unit->refine424419629nres_a)) (B2:refine787176636t_unit) (C2:refine787176636t_unit), ((((eq refine424419629nres_a) A2) (F B2))->(((ord_le1051254044t_unit B2) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a A2) (F C2)))))) of role axiom named fact_98_ord__eq__le__subst
% 0.56/0.76  A new axiom: (forall (A2:refine424419629nres_a) (F:(refine787176636t_unit->refine424419629nres_a)) (B2:refine787176636t_unit) (C2:refine787176636t_unit), ((((eq refine424419629nres_a) A2) (F B2))->(((ord_le1051254044t_unit B2) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a A2) (F C2))))))
% 0.56/0.76  FOF formula (forall (A2:refine787176636t_unit) (F:(refine787176636t_unit->refine787176636t_unit)) (B2:refine787176636t_unit) (C2:refine787176636t_unit), ((((eq refine787176636t_unit) A2) (F B2))->(((ord_le1051254044t_unit B2) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit A2) (F C2)))))) of role axiom named fact_99_ord__eq__le__subst
% 0.56/0.76  A new axiom: (forall (A2:refine787176636t_unit) (F:(refine787176636t_unit->refine787176636t_unit)) (B2:refine787176636t_unit) (C2:refine787176636t_unit), ((((eq refine787176636t_unit) A2) (F B2))->(((ord_le1051254044t_unit B2) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit A2) (F C2))))))
% 0.56/0.76  FOF formula (forall (A2:set_a) (F:(refine424419629nres_a->set_a)) (B2:refine424419629nres_a) (C2:refine424419629nres_a), ((((eq set_a) A2) (F B2))->(((ord_le519537037nres_a B2) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a A2) (F C2)))))) of role axiom named fact_100_ord__eq__le__subst
% 0.56/0.76  A new axiom: (forall (A2:set_a) (F:(refine424419629nres_a->set_a)) (B2:refine424419629nres_a) (C2:refine424419629nres_a), ((((eq set_a) A2) (F B2))->(((ord_le519537037nres_a B2) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a A2) (F C2))))))
% 0.61/0.77  FOF formula (forall (A2:set_a) (F:(refine787176636t_unit->set_a)) (B2:refine787176636t_unit) (C2:refine787176636t_unit), ((((eq set_a) A2) (F B2))->(((ord_le1051254044t_unit B2) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a A2) (F C2)))))) of role axiom named fact_101_ord__eq__le__subst
% 0.61/0.77  A new axiom: (forall (A2:set_a) (F:(refine787176636t_unit->set_a)) (B2:refine787176636t_unit) (C2:refine787176636t_unit), ((((eq set_a) A2) (F B2))->(((ord_le1051254044t_unit B2) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a A2) (F C2))))))
% 0.61/0.77  FOF formula (forall (A2:refine424419629nres_a) (F:(set_a->refine424419629nres_a)) (B2:set_a) (C2:set_a), ((((eq refine424419629nres_a) A2) (F B2))->(((ord_less_eq_set_a B2) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a A2) (F C2)))))) of role axiom named fact_102_ord__eq__le__subst
% 0.61/0.77  A new axiom: (forall (A2:refine424419629nres_a) (F:(set_a->refine424419629nres_a)) (B2:set_a) (C2:set_a), ((((eq refine424419629nres_a) A2) (F B2))->(((ord_less_eq_set_a B2) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a A2) (F C2))))))
% 0.61/0.77  FOF formula (forall (A2:refine787176636t_unit) (F:(set_a->refine787176636t_unit)) (B2:set_a) (C2:set_a), ((((eq refine787176636t_unit) A2) (F B2))->(((ord_less_eq_set_a B2) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit A2) (F C2)))))) of role axiom named fact_103_ord__eq__le__subst
% 0.61/0.77  A new axiom: (forall (A2:refine787176636t_unit) (F:(set_a->refine787176636t_unit)) (B2:set_a) (C2:set_a), ((((eq refine787176636t_unit) A2) (F B2))->(((ord_less_eq_set_a B2) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit A2) (F C2))))))
% 0.61/0.77  FOF formula (forall (A2:set_a) (F:(set_a->set_a)) (B2:set_a) (C2:set_a), ((((eq set_a) A2) (F B2))->(((ord_less_eq_set_a B2) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a A2) (F C2)))))) of role axiom named fact_104_ord__eq__le__subst
% 0.61/0.77  A new axiom: (forall (A2:set_a) (F:(set_a->set_a)) (B2:set_a) (C2:set_a), ((((eq set_a) A2) (F B2))->(((ord_less_eq_set_a B2) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a A2) (F C2))))))
% 0.61/0.77  FOF formula (forall (A2:set_Pr451126599t_unit) (F:(refine424419629nres_a->set_Pr451126599t_unit)) (B2:refine424419629nres_a) (C2:refine424419629nres_a), ((((eq set_Pr451126599t_unit) A2) (F B2))->(((ord_le519537037nres_a B2) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le2035129575t_unit (F X2)) (F Y3))))->((ord_le2035129575t_unit A2) (F C2)))))) of role axiom named fact_105_ord__eq__le__subst
% 0.61/0.77  A new axiom: (forall (A2:set_Pr451126599t_unit) (F:(refine424419629nres_a->set_Pr451126599t_unit)) (B2:refine424419629nres_a) (C2:refine424419629nres_a), ((((eq set_Pr451126599t_unit) A2) (F B2))->(((ord_le519537037nres_a B2) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le2035129575t_unit (F X2)) (F Y3))))->((ord_le2035129575t_unit A2) (F C2))))))
% 0.61/0.77  FOF formula (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (F:(refine424419629nres_a->refine424419629nres_a)) (C2:refine424419629nres_a), (((ord_le519537037nres_a A2) B2)->((((eq refine424419629nres_a) (F B2)) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a (F A2)) C2))))) of role axiom named fact_106_ord__le__eq__subst
% 0.61/0.79  A new axiom: (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (F:(refine424419629nres_a->refine424419629nres_a)) (C2:refine424419629nres_a), (((ord_le519537037nres_a A2) B2)->((((eq refine424419629nres_a) (F B2)) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a (F A2)) C2)))))
% 0.61/0.79  FOF formula (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (F:(refine424419629nres_a->refine787176636t_unit)) (C2:refine787176636t_unit), (((ord_le519537037nres_a A2) B2)->((((eq refine787176636t_unit) (F B2)) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit (F A2)) C2))))) of role axiom named fact_107_ord__le__eq__subst
% 0.61/0.79  A new axiom: (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (F:(refine424419629nres_a->refine787176636t_unit)) (C2:refine787176636t_unit), (((ord_le519537037nres_a A2) B2)->((((eq refine787176636t_unit) (F B2)) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit (F A2)) C2)))))
% 0.61/0.79  FOF formula (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit) (F:(refine787176636t_unit->refine424419629nres_a)) (C2:refine424419629nres_a), (((ord_le1051254044t_unit A2) B2)->((((eq refine424419629nres_a) (F B2)) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a (F A2)) C2))))) of role axiom named fact_108_ord__le__eq__subst
% 0.61/0.79  A new axiom: (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit) (F:(refine787176636t_unit->refine424419629nres_a)) (C2:refine424419629nres_a), (((ord_le1051254044t_unit A2) B2)->((((eq refine424419629nres_a) (F B2)) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a (F A2)) C2)))))
% 0.61/0.79  FOF formula (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit) (F:(refine787176636t_unit->refine787176636t_unit)) (C2:refine787176636t_unit), (((ord_le1051254044t_unit A2) B2)->((((eq refine787176636t_unit) (F B2)) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit (F A2)) C2))))) of role axiom named fact_109_ord__le__eq__subst
% 0.61/0.79  A new axiom: (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit) (F:(refine787176636t_unit->refine787176636t_unit)) (C2:refine787176636t_unit), (((ord_le1051254044t_unit A2) B2)->((((eq refine787176636t_unit) (F B2)) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit (F A2)) C2)))))
% 0.61/0.79  FOF formula (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (F:(refine424419629nres_a->set_a)) (C2:set_a), (((ord_le519537037nres_a A2) B2)->((((eq set_a) (F B2)) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a (F A2)) C2))))) of role axiom named fact_110_ord__le__eq__subst
% 0.61/0.79  A new axiom: (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (F:(refine424419629nres_a->set_a)) (C2:set_a), (((ord_le519537037nres_a A2) B2)->((((eq set_a) (F B2)) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a (F A2)) C2)))))
% 0.61/0.79  FOF formula (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit) (F:(refine787176636t_unit->set_a)) (C2:set_a), (((ord_le1051254044t_unit A2) B2)->((((eq set_a) (F B2)) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a (F A2)) C2))))) of role axiom named fact_111_ord__le__eq__subst
% 0.61/0.80  A new axiom: (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit) (F:(refine787176636t_unit->set_a)) (C2:set_a), (((ord_le1051254044t_unit A2) B2)->((((eq set_a) (F B2)) C2)->((forall (X2:refine787176636t_unit) (Y3:refine787176636t_unit), (((ord_le1051254044t_unit X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a (F A2)) C2)))))
% 0.61/0.80  FOF formula (forall (A2:set_a) (B2:set_a) (F:(set_a->refine424419629nres_a)) (C2:refine424419629nres_a), (((ord_less_eq_set_a A2) B2)->((((eq refine424419629nres_a) (F B2)) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a (F A2)) C2))))) of role axiom named fact_112_ord__le__eq__subst
% 0.61/0.80  A new axiom: (forall (A2:set_a) (B2:set_a) (F:(set_a->refine424419629nres_a)) (C2:refine424419629nres_a), (((ord_less_eq_set_a A2) B2)->((((eq refine424419629nres_a) (F B2)) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_le519537037nres_a (F X2)) (F Y3))))->((ord_le519537037nres_a (F A2)) C2)))))
% 0.61/0.80  FOF formula (forall (A2:set_a) (B2:set_a) (F:(set_a->refine787176636t_unit)) (C2:refine787176636t_unit), (((ord_less_eq_set_a A2) B2)->((((eq refine787176636t_unit) (F B2)) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit (F A2)) C2))))) of role axiom named fact_113_ord__le__eq__subst
% 0.61/0.80  A new axiom: (forall (A2:set_a) (B2:set_a) (F:(set_a->refine787176636t_unit)) (C2:refine787176636t_unit), (((ord_less_eq_set_a A2) B2)->((((eq refine787176636t_unit) (F B2)) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_le1051254044t_unit (F X2)) (F Y3))))->((ord_le1051254044t_unit (F A2)) C2)))))
% 0.61/0.80  FOF formula (forall (A2:set_a) (B2:set_a) (F:(set_a->set_a)) (C2:set_a), (((ord_less_eq_set_a A2) B2)->((((eq set_a) (F B2)) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a (F A2)) C2))))) of role axiom named fact_114_ord__le__eq__subst
% 0.61/0.80  A new axiom: (forall (A2:set_a) (B2:set_a) (F:(set_a->set_a)) (C2:set_a), (((ord_less_eq_set_a A2) B2)->((((eq set_a) (F B2)) C2)->((forall (X2:set_a) (Y3:set_a), (((ord_less_eq_set_a X2) Y3)->((ord_less_eq_set_a (F X2)) (F Y3))))->((ord_less_eq_set_a (F A2)) C2)))))
% 0.61/0.80  FOF formula (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (F:(refine424419629nres_a->set_Pr451126599t_unit)) (C2:set_Pr451126599t_unit), (((ord_le519537037nres_a A2) B2)->((((eq set_Pr451126599t_unit) (F B2)) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le2035129575t_unit (F X2)) (F Y3))))->((ord_le2035129575t_unit (F A2)) C2))))) of role axiom named fact_115_ord__le__eq__subst
% 0.61/0.80  A new axiom: (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (F:(refine424419629nres_a->set_Pr451126599t_unit)) (C2:set_Pr451126599t_unit), (((ord_le519537037nres_a A2) B2)->((((eq set_Pr451126599t_unit) (F B2)) C2)->((forall (X2:refine424419629nres_a) (Y3:refine424419629nres_a), (((ord_le519537037nres_a X2) Y3)->((ord_le2035129575t_unit (F X2)) (F Y3))))->((ord_le2035129575t_unit (F A2)) C2)))))
% 0.61/0.80  FOF formula (((eq (set_Pr451126599t_unit->(set_Pr451126599t_unit->Prop))) (fun (Y2:set_Pr451126599t_unit) (Z:set_Pr451126599t_unit)=> (((eq set_Pr451126599t_unit) Y2) Z))) (fun (X3:set_Pr451126599t_unit) (Y4:set_Pr451126599t_unit)=> ((and ((ord_le2035129575t_unit X3) Y4)) ((ord_le2035129575t_unit Y4) X3)))) of role axiom named fact_116_eq__iff
% 0.61/0.80  A new axiom: (((eq (set_Pr451126599t_unit->(set_Pr451126599t_unit->Prop))) (fun (Y2:set_Pr451126599t_unit) (Z:set_Pr451126599t_unit)=> (((eq set_Pr451126599t_unit) Y2) Z))) (fun (X3:set_Pr451126599t_unit) (Y4:set_Pr451126599t_unit)=> ((and ((ord_le2035129575t_unit X3) Y4)) ((ord_le2035129575t_unit Y4) X3))))
% 0.61/0.81  FOF formula (((eq (set_Pr1720557880unit_a->(set_Pr1720557880unit_a->Prop))) (fun (Y2:set_Pr1720557880unit_a) (Z:set_Pr1720557880unit_a)=> (((eq set_Pr1720557880unit_a) Y2) Z))) (fun (X3:set_Pr1720557880unit_a) (Y4:set_Pr1720557880unit_a)=> ((and ((ord_le2070001880unit_a X3) Y4)) ((ord_le2070001880unit_a Y4) X3)))) of role axiom named fact_117_eq__iff
% 0.61/0.81  A new axiom: (((eq (set_Pr1720557880unit_a->(set_Pr1720557880unit_a->Prop))) (fun (Y2:set_Pr1720557880unit_a) (Z:set_Pr1720557880unit_a)=> (((eq set_Pr1720557880unit_a) Y2) Z))) (fun (X3:set_Pr1720557880unit_a) (Y4:set_Pr1720557880unit_a)=> ((and ((ord_le2070001880unit_a X3) Y4)) ((ord_le2070001880unit_a Y4) X3))))
% 0.61/0.81  FOF formula (((eq (set_Pr1628433942t_unit->(set_Pr1628433942t_unit->Prop))) (fun (Y2:set_Pr1628433942t_unit) (Z:set_Pr1628433942t_unit)=> (((eq set_Pr1628433942t_unit) Y2) Z))) (fun (X3:set_Pr1628433942t_unit) (Y4:set_Pr1628433942t_unit)=> ((and ((ord_le1977877942t_unit X3) Y4)) ((ord_le1977877942t_unit Y4) X3)))) of role axiom named fact_118_eq__iff
% 0.61/0.81  A new axiom: (((eq (set_Pr1628433942t_unit->(set_Pr1628433942t_unit->Prop))) (fun (Y2:set_Pr1628433942t_unit) (Z:set_Pr1628433942t_unit)=> (((eq set_Pr1628433942t_unit) Y2) Z))) (fun (X3:set_Pr1628433942t_unit) (Y4:set_Pr1628433942t_unit)=> ((and ((ord_le1977877942t_unit X3) Y4)) ((ord_le1977877942t_unit Y4) X3))))
% 0.61/0.81  FOF formula (((eq (set_Product_prod_a_a->(set_Product_prod_a_a->Prop))) (fun (Y2:set_Product_prod_a_a) (Z:set_Product_prod_a_a)=> (((eq set_Product_prod_a_a) Y2) Z))) (fun (X3:set_Product_prod_a_a) (Y4:set_Product_prod_a_a)=> ((and ((ord_le1824328871od_a_a X3) Y4)) ((ord_le1824328871od_a_a Y4) X3)))) of role axiom named fact_119_eq__iff
% 0.61/0.81  A new axiom: (((eq (set_Product_prod_a_a->(set_Product_prod_a_a->Prop))) (fun (Y2:set_Product_prod_a_a) (Z:set_Product_prod_a_a)=> (((eq set_Product_prod_a_a) Y2) Z))) (fun (X3:set_Product_prod_a_a) (Y4:set_Product_prod_a_a)=> ((and ((ord_le1824328871od_a_a X3) Y4)) ((ord_le1824328871od_a_a Y4) X3))))
% 0.61/0.81  FOF formula (((eq (set_a->(set_a->Prop))) (fun (Y2:set_a) (Z:set_a)=> (((eq set_a) Y2) Z))) (fun (X3:set_a) (Y4:set_a)=> ((and ((ord_less_eq_set_a X3) Y4)) ((ord_less_eq_set_a Y4) X3)))) of role axiom named fact_120_eq__iff
% 0.61/0.81  A new axiom: (((eq (set_a->(set_a->Prop))) (fun (Y2:set_a) (Z:set_a)=> (((eq set_a) Y2) Z))) (fun (X3:set_a) (Y4:set_a)=> ((and ((ord_less_eq_set_a X3) Y4)) ((ord_less_eq_set_a Y4) X3))))
% 0.61/0.81  FOF formula (((eq (refine424419629nres_a->(refine424419629nres_a->Prop))) (fun (Y2:refine424419629nres_a) (Z:refine424419629nres_a)=> (((eq refine424419629nres_a) Y2) Z))) (fun (X3:refine424419629nres_a) (Y4:refine424419629nres_a)=> ((and ((ord_le519537037nres_a X3) Y4)) ((ord_le519537037nres_a Y4) X3)))) of role axiom named fact_121_eq__iff
% 0.61/0.81  A new axiom: (((eq (refine424419629nres_a->(refine424419629nres_a->Prop))) (fun (Y2:refine424419629nres_a) (Z:refine424419629nres_a)=> (((eq refine424419629nres_a) Y2) Z))) (fun (X3:refine424419629nres_a) (Y4:refine424419629nres_a)=> ((and ((ord_le519537037nres_a X3) Y4)) ((ord_le519537037nres_a Y4) X3))))
% 0.61/0.81  FOF formula (((eq (refine787176636t_unit->(refine787176636t_unit->Prop))) (fun (Y2:refine787176636t_unit) (Z:refine787176636t_unit)=> (((eq refine787176636t_unit) Y2) Z))) (fun (X3:refine787176636t_unit) (Y4:refine787176636t_unit)=> ((and ((ord_le1051254044t_unit X3) Y4)) ((ord_le1051254044t_unit Y4) X3)))) of role axiom named fact_122_eq__iff
% 0.61/0.81  A new axiom: (((eq (refine787176636t_unit->(refine787176636t_unit->Prop))) (fun (Y2:refine787176636t_unit) (Z:refine787176636t_unit)=> (((eq refine787176636t_unit) Y2) Z))) (fun (X3:refine787176636t_unit) (Y4:refine787176636t_unit)=> ((and ((ord_le1051254044t_unit X3) Y4)) ((ord_le1051254044t_unit Y4) X3))))
% 0.61/0.81  FOF formula (forall (X:set_Pr451126599t_unit) (Y:set_Pr451126599t_unit), (((ord_le2035129575t_unit X) Y)->(((ord_le2035129575t_unit Y) X)->(((eq set_Pr451126599t_unit) X) Y)))) of role axiom named fact_123_antisym
% 0.61/0.81  A new axiom: (forall (X:set_Pr451126599t_unit) (Y:set_Pr451126599t_unit), (((ord_le2035129575t_unit X) Y)->(((ord_le2035129575t_unit Y) X)->(((eq set_Pr451126599t_unit) X) Y))))
% 0.61/0.82  FOF formula (forall (X:set_Pr1720557880unit_a) (Y:set_Pr1720557880unit_a), (((ord_le2070001880unit_a X) Y)->(((ord_le2070001880unit_a Y) X)->(((eq set_Pr1720557880unit_a) X) Y)))) of role axiom named fact_124_antisym
% 0.61/0.82  A new axiom: (forall (X:set_Pr1720557880unit_a) (Y:set_Pr1720557880unit_a), (((ord_le2070001880unit_a X) Y)->(((ord_le2070001880unit_a Y) X)->(((eq set_Pr1720557880unit_a) X) Y))))
% 0.61/0.82  FOF formula (forall (X:set_Pr1628433942t_unit) (Y:set_Pr1628433942t_unit), (((ord_le1977877942t_unit X) Y)->(((ord_le1977877942t_unit Y) X)->(((eq set_Pr1628433942t_unit) X) Y)))) of role axiom named fact_125_antisym
% 0.61/0.82  A new axiom: (forall (X:set_Pr1628433942t_unit) (Y:set_Pr1628433942t_unit), (((ord_le1977877942t_unit X) Y)->(((ord_le1977877942t_unit Y) X)->(((eq set_Pr1628433942t_unit) X) Y))))
% 0.61/0.82  FOF formula (forall (X:set_Product_prod_a_a) (Y:set_Product_prod_a_a), (((ord_le1824328871od_a_a X) Y)->(((ord_le1824328871od_a_a Y) X)->(((eq set_Product_prod_a_a) X) Y)))) of role axiom named fact_126_antisym
% 0.61/0.82  A new axiom: (forall (X:set_Product_prod_a_a) (Y:set_Product_prod_a_a), (((ord_le1824328871od_a_a X) Y)->(((ord_le1824328871od_a_a Y) X)->(((eq set_Product_prod_a_a) X) Y))))
% 0.61/0.82  FOF formula (forall (X:set_a) (Y:set_a), (((ord_less_eq_set_a X) Y)->(((ord_less_eq_set_a Y) X)->(((eq set_a) X) Y)))) of role axiom named fact_127_antisym
% 0.61/0.82  A new axiom: (forall (X:set_a) (Y:set_a), (((ord_less_eq_set_a X) Y)->(((ord_less_eq_set_a Y) X)->(((eq set_a) X) Y))))
% 0.61/0.82  FOF formula (forall (X:refine424419629nres_a) (Y:refine424419629nres_a), (((ord_le519537037nres_a X) Y)->(((ord_le519537037nres_a Y) X)->(((eq refine424419629nres_a) X) Y)))) of role axiom named fact_128_antisym
% 0.61/0.82  A new axiom: (forall (X:refine424419629nres_a) (Y:refine424419629nres_a), (((ord_le519537037nres_a X) Y)->(((ord_le519537037nres_a Y) X)->(((eq refine424419629nres_a) X) Y))))
% 0.61/0.82  FOF formula (forall (X:refine787176636t_unit) (Y:refine787176636t_unit), (((ord_le1051254044t_unit X) Y)->(((ord_le1051254044t_unit Y) X)->(((eq refine787176636t_unit) X) Y)))) of role axiom named fact_129_antisym
% 0.61/0.82  A new axiom: (forall (X:refine787176636t_unit) (Y:refine787176636t_unit), (((ord_le1051254044t_unit X) Y)->(((ord_le1051254044t_unit Y) X)->(((eq refine787176636t_unit) X) Y))))
% 0.61/0.82  FOF formula (forall (X:set_Pr451126599t_unit) (Y:set_Pr451126599t_unit), ((((eq set_Pr451126599t_unit) X) Y)->((ord_le2035129575t_unit X) Y))) of role axiom named fact_130_eq__refl
% 0.61/0.82  A new axiom: (forall (X:set_Pr451126599t_unit) (Y:set_Pr451126599t_unit), ((((eq set_Pr451126599t_unit) X) Y)->((ord_le2035129575t_unit X) Y)))
% 0.61/0.82  FOF formula (forall (X:set_Pr1720557880unit_a) (Y:set_Pr1720557880unit_a), ((((eq set_Pr1720557880unit_a) X) Y)->((ord_le2070001880unit_a X) Y))) of role axiom named fact_131_eq__refl
% 0.61/0.82  A new axiom: (forall (X:set_Pr1720557880unit_a) (Y:set_Pr1720557880unit_a), ((((eq set_Pr1720557880unit_a) X) Y)->((ord_le2070001880unit_a X) Y)))
% 0.61/0.82  FOF formula (forall (X:set_Pr1628433942t_unit) (Y:set_Pr1628433942t_unit), ((((eq set_Pr1628433942t_unit) X) Y)->((ord_le1977877942t_unit X) Y))) of role axiom named fact_132_eq__refl
% 0.61/0.82  A new axiom: (forall (X:set_Pr1628433942t_unit) (Y:set_Pr1628433942t_unit), ((((eq set_Pr1628433942t_unit) X) Y)->((ord_le1977877942t_unit X) Y)))
% 0.61/0.82  FOF formula (forall (X:set_Product_prod_a_a) (Y:set_Product_prod_a_a), ((((eq set_Product_prod_a_a) X) Y)->((ord_le1824328871od_a_a X) Y))) of role axiom named fact_133_eq__refl
% 0.61/0.82  A new axiom: (forall (X:set_Product_prod_a_a) (Y:set_Product_prod_a_a), ((((eq set_Product_prod_a_a) X) Y)->((ord_le1824328871od_a_a X) Y)))
% 0.61/0.82  FOF formula (forall (X:set_a) (Y:set_a), ((((eq set_a) X) Y)->((ord_less_eq_set_a X) Y))) of role axiom named fact_134_eq__refl
% 0.61/0.82  A new axiom: (forall (X:set_a) (Y:set_a), ((((eq set_a) X) Y)->((ord_less_eq_set_a X) Y)))
% 0.61/0.82  FOF formula (forall (X:refine424419629nres_a) (Y:refine424419629nres_a), ((((eq refine424419629nres_a) X) Y)->((ord_le519537037nres_a X) Y))) of role axiom named fact_135_eq__refl
% 0.61/0.82  A new axiom: (forall (X:refine424419629nres_a) (Y:refine424419629nres_a), ((((eq refine424419629nres_a) X) Y)->((ord_le519537037nres_a X) Y)))
% 0.61/0.83  FOF formula (forall (X:refine787176636t_unit) (Y:refine787176636t_unit), ((((eq refine787176636t_unit) X) Y)->((ord_le1051254044t_unit X) Y))) of role axiom named fact_136_eq__refl
% 0.61/0.83  A new axiom: (forall (X:refine787176636t_unit) (Y:refine787176636t_unit), ((((eq refine787176636t_unit) X) Y)->((ord_le1051254044t_unit X) Y)))
% 0.61/0.83  FOF formula (forall (A2:set_Pr451126599t_unit) (B2:set_Pr451126599t_unit) (C2:set_Pr451126599t_unit), (((ord_le2035129575t_unit A2) B2)->(((ord_le2035129575t_unit B2) C2)->((ord_le2035129575t_unit A2) C2)))) of role axiom named fact_137_order_Otrans
% 0.61/0.83  A new axiom: (forall (A2:set_Pr451126599t_unit) (B2:set_Pr451126599t_unit) (C2:set_Pr451126599t_unit), (((ord_le2035129575t_unit A2) B2)->(((ord_le2035129575t_unit B2) C2)->((ord_le2035129575t_unit A2) C2))))
% 0.61/0.83  FOF formula (forall (A2:set_Pr1720557880unit_a) (B2:set_Pr1720557880unit_a) (C2:set_Pr1720557880unit_a), (((ord_le2070001880unit_a A2) B2)->(((ord_le2070001880unit_a B2) C2)->((ord_le2070001880unit_a A2) C2)))) of role axiom named fact_138_order_Otrans
% 0.61/0.83  A new axiom: (forall (A2:set_Pr1720557880unit_a) (B2:set_Pr1720557880unit_a) (C2:set_Pr1720557880unit_a), (((ord_le2070001880unit_a A2) B2)->(((ord_le2070001880unit_a B2) C2)->((ord_le2070001880unit_a A2) C2))))
% 0.61/0.83  FOF formula (forall (A2:set_Pr1628433942t_unit) (B2:set_Pr1628433942t_unit) (C2:set_Pr1628433942t_unit), (((ord_le1977877942t_unit A2) B2)->(((ord_le1977877942t_unit B2) C2)->((ord_le1977877942t_unit A2) C2)))) of role axiom named fact_139_order_Otrans
% 0.61/0.83  A new axiom: (forall (A2:set_Pr1628433942t_unit) (B2:set_Pr1628433942t_unit) (C2:set_Pr1628433942t_unit), (((ord_le1977877942t_unit A2) B2)->(((ord_le1977877942t_unit B2) C2)->((ord_le1977877942t_unit A2) C2))))
% 0.61/0.83  FOF formula (forall (A2:set_Product_prod_a_a) (B2:set_Product_prod_a_a) (C2:set_Product_prod_a_a), (((ord_le1824328871od_a_a A2) B2)->(((ord_le1824328871od_a_a B2) C2)->((ord_le1824328871od_a_a A2) C2)))) of role axiom named fact_140_order_Otrans
% 0.61/0.83  A new axiom: (forall (A2:set_Product_prod_a_a) (B2:set_Product_prod_a_a) (C2:set_Product_prod_a_a), (((ord_le1824328871od_a_a A2) B2)->(((ord_le1824328871od_a_a B2) C2)->((ord_le1824328871od_a_a A2) C2))))
% 0.61/0.83  FOF formula (forall (A2:set_a) (B2:set_a) (C2:set_a), (((ord_less_eq_set_a A2) B2)->(((ord_less_eq_set_a B2) C2)->((ord_less_eq_set_a A2) C2)))) of role axiom named fact_141_order_Otrans
% 0.61/0.83  A new axiom: (forall (A2:set_a) (B2:set_a) (C2:set_a), (((ord_less_eq_set_a A2) B2)->(((ord_less_eq_set_a B2) C2)->((ord_less_eq_set_a A2) C2))))
% 0.61/0.83  FOF formula (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (C2:refine424419629nres_a), (((ord_le519537037nres_a A2) B2)->(((ord_le519537037nres_a B2) C2)->((ord_le519537037nres_a A2) C2)))) of role axiom named fact_142_order_Otrans
% 0.61/0.83  A new axiom: (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (C2:refine424419629nres_a), (((ord_le519537037nres_a A2) B2)->(((ord_le519537037nres_a B2) C2)->((ord_le519537037nres_a A2) C2))))
% 0.61/0.83  FOF formula (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit) (C2:refine787176636t_unit), (((ord_le1051254044t_unit A2) B2)->(((ord_le1051254044t_unit B2) C2)->((ord_le1051254044t_unit A2) C2)))) of role axiom named fact_143_order_Otrans
% 0.61/0.83  A new axiom: (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit) (C2:refine787176636t_unit), (((ord_le1051254044t_unit A2) B2)->(((ord_le1051254044t_unit B2) C2)->((ord_le1051254044t_unit A2) C2))))
% 0.61/0.83  FOF formula (forall (A2:produc971140967t_unit) (P:(produc971140967t_unit->Prop)), (((eq Prop) ((member1423014800t_unit A2) (collec797068754t_unit P))) (P A2))) of role axiom named fact_144_mem__Collect__eq
% 0.61/0.83  A new axiom: (forall (A2:produc971140967t_unit) (P:(produc971140967t_unit->Prop)), (((eq Prop) ((member1423014800t_unit A2) (collec797068754t_unit P))) (P A2)))
% 0.61/0.83  FOF formula (forall (A2:produc884009688unit_a) (P:(produc884009688unit_a->Prop)), (((eq Prop) ((member1211819009unit_a A2) (collec535904323unit_a P))) (P A2))) of role axiom named fact_145_mem__Collect__eq
% 0.61/0.83  A new axiom: (forall (A2:produc884009688unit_a) (P:(produc884009688unit_a->Prop)), (((eq Prop) ((member1211819009unit_a A2) (collec535904323unit_a P))) (P A2)))
% 0.61/0.83  FOF formula (forall (A2:produc1767851702t_unit) (P:(produc1767851702t_unit->Prop)), (((eq Prop) ((member2095661023t_unit A2) (collec1419746337t_unit P))) (P A2))) of role axiom named fact_146_mem__Collect__eq
% 0.61/0.83  A new axiom: (forall (A2:produc1767851702t_unit) (P:(produc1767851702t_unit->Prop)), (((eq Prop) ((member2095661023t_unit A2) (collec1419746337t_unit P))) (P A2)))
% 0.61/0.83  FOF formula (forall (A2:product_prod_a_a) (P:(product_prod_a_a->Prop)), (((eq Prop) ((member449909584od_a_a A2) (collec645855634od_a_a P))) (P A2))) of role axiom named fact_147_mem__Collect__eq
% 0.61/0.83  A new axiom: (forall (A2:product_prod_a_a) (P:(product_prod_a_a->Prop)), (((eq Prop) ((member449909584od_a_a A2) (collec645855634od_a_a P))) (P A2)))
% 0.61/0.83  FOF formula (forall (A2:product_unit) (P:(product_unit->Prop)), (((eq Prop) ((member_Product_unit A2) (collect_Product_unit P))) (P A2))) of role axiom named fact_148_mem__Collect__eq
% 0.61/0.84  A new axiom: (forall (A2:product_unit) (P:(product_unit->Prop)), (((eq Prop) ((member_Product_unit A2) (collect_Product_unit P))) (P A2)))
% 0.61/0.84  FOF formula (forall (A2:a) (P:(a->Prop)), (((eq Prop) ((member_a A2) (collect_a P))) (P A2))) of role axiom named fact_149_mem__Collect__eq
% 0.61/0.84  A new axiom: (forall (A2:a) (P:(a->Prop)), (((eq Prop) ((member_a A2) (collect_a P))) (P A2)))
% 0.61/0.84  FOF formula (forall (A:set_Pr451126599t_unit), (((eq set_Pr451126599t_unit) (collec797068754t_unit (fun (X3:produc971140967t_unit)=> ((member1423014800t_unit X3) A)))) A)) of role axiom named fact_150_Collect__mem__eq
% 0.61/0.84  A new axiom: (forall (A:set_Pr451126599t_unit), (((eq set_Pr451126599t_unit) (collec797068754t_unit (fun (X3:produc971140967t_unit)=> ((member1423014800t_unit X3) A)))) A))
% 0.61/0.84  FOF formula (forall (A:set_Pr1720557880unit_a), (((eq set_Pr1720557880unit_a) (collec535904323unit_a (fun (X3:produc884009688unit_a)=> ((member1211819009unit_a X3) A)))) A)) of role axiom named fact_151_Collect__mem__eq
% 0.61/0.84  A new axiom: (forall (A:set_Pr1720557880unit_a), (((eq set_Pr1720557880unit_a) (collec535904323unit_a (fun (X3:produc884009688unit_a)=> ((member1211819009unit_a X3) A)))) A))
% 0.61/0.84  FOF formula (forall (A:set_Pr1628433942t_unit), (((eq set_Pr1628433942t_unit) (collec1419746337t_unit (fun (X3:produc1767851702t_unit)=> ((member2095661023t_unit X3) A)))) A)) of role axiom named fact_152_Collect__mem__eq
% 0.61/0.84  A new axiom: (forall (A:set_Pr1628433942t_unit), (((eq set_Pr1628433942t_unit) (collec1419746337t_unit (fun (X3:produc1767851702t_unit)=> ((member2095661023t_unit X3) A)))) A))
% 0.61/0.84  FOF formula (forall (A:set_Product_prod_a_a), (((eq set_Product_prod_a_a) (collec645855634od_a_a (fun (X3:product_prod_a_a)=> ((member449909584od_a_a X3) A)))) A)) of role axiom named fact_153_Collect__mem__eq
% 0.61/0.84  A new axiom: (forall (A:set_Product_prod_a_a), (((eq set_Product_prod_a_a) (collec645855634od_a_a (fun (X3:product_prod_a_a)=> ((member449909584od_a_a X3) A)))) A))
% 0.61/0.84  FOF formula (forall (A:set_Product_unit), (((eq set_Product_unit) (collect_Product_unit (fun (X3:product_unit)=> ((member_Product_unit X3) A)))) A)) of role axiom named fact_154_Collect__mem__eq
% 0.61/0.84  A new axiom: (forall (A:set_Product_unit), (((eq set_Product_unit) (collect_Product_unit (fun (X3:product_unit)=> ((member_Product_unit X3) A)))) A))
% 0.61/0.84  FOF formula (forall (A:set_a), (((eq set_a) (collect_a (fun (X3:a)=> ((member_a X3) A)))) A)) of role axiom named fact_155_Collect__mem__eq
% 0.61/0.84  A new axiom: (forall (A:set_a), (((eq set_a) (collect_a (fun (X3:a)=> ((member_a X3) A)))) A))
% 0.61/0.84  FOF formula (forall (P:(product_unit->Prop)) (Q:(product_unit->Prop)), ((forall (X2:product_unit), (((eq Prop) (P X2)) (Q X2)))->(((eq set_Product_unit) (collect_Product_unit P)) (collect_Product_unit Q)))) of role axiom named fact_156_Collect__cong
% 0.61/0.84  A new axiom: (forall (P:(product_unit->Prop)) (Q:(product_unit->Prop)), ((forall (X2:product_unit), (((eq Prop) (P X2)) (Q X2)))->(((eq set_Product_unit) (collect_Product_unit P)) (collect_Product_unit Q))))
% 0.61/0.84  FOF formula (forall (P:(a->Prop)) (Q:(a->Prop)), ((forall (X2:a), (((eq Prop) (P X2)) (Q X2)))->(((eq set_a) (collect_a P)) (collect_a Q)))) of role axiom named fact_157_Collect__cong
% 0.69/0.84  A new axiom: (forall (P:(a->Prop)) (Q:(a->Prop)), ((forall (X2:a), (((eq Prop) (P X2)) (Q X2)))->(((eq set_a) (collect_a P)) (collect_a Q))))
% 0.69/0.84  FOF formula (forall (Y:set_Pr451126599t_unit) (X:set_Pr451126599t_unit), (((ord_le2035129575t_unit Y) X)->(((eq Prop) ((ord_le2035129575t_unit X) Y)) (((eq set_Pr451126599t_unit) X) Y)))) of role axiom named fact_158_antisym__conv
% 0.69/0.84  A new axiom: (forall (Y:set_Pr451126599t_unit) (X:set_Pr451126599t_unit), (((ord_le2035129575t_unit Y) X)->(((eq Prop) ((ord_le2035129575t_unit X) Y)) (((eq set_Pr451126599t_unit) X) Y))))
% 0.69/0.84  FOF formula (forall (Y:set_Pr1720557880unit_a) (X:set_Pr1720557880unit_a), (((ord_le2070001880unit_a Y) X)->(((eq Prop) ((ord_le2070001880unit_a X) Y)) (((eq set_Pr1720557880unit_a) X) Y)))) of role axiom named fact_159_antisym__conv
% 0.69/0.84  A new axiom: (forall (Y:set_Pr1720557880unit_a) (X:set_Pr1720557880unit_a), (((ord_le2070001880unit_a Y) X)->(((eq Prop) ((ord_le2070001880unit_a X) Y)) (((eq set_Pr1720557880unit_a) X) Y))))
% 0.69/0.84  FOF formula (forall (Y:set_Pr1628433942t_unit) (X:set_Pr1628433942t_unit), (((ord_le1977877942t_unit Y) X)->(((eq Prop) ((ord_le1977877942t_unit X) Y)) (((eq set_Pr1628433942t_unit) X) Y)))) of role axiom named fact_160_antisym__conv
% 0.69/0.84  A new axiom: (forall (Y:set_Pr1628433942t_unit) (X:set_Pr1628433942t_unit), (((ord_le1977877942t_unit Y) X)->(((eq Prop) ((ord_le1977877942t_unit X) Y)) (((eq set_Pr1628433942t_unit) X) Y))))
% 0.69/0.84  FOF formula (forall (Y:set_Product_prod_a_a) (X:set_Product_prod_a_a), (((ord_le1824328871od_a_a Y) X)->(((eq Prop) ((ord_le1824328871od_a_a X) Y)) (((eq set_Product_prod_a_a) X) Y)))) of role axiom named fact_161_antisym__conv
% 0.69/0.84  A new axiom: (forall (Y:set_Product_prod_a_a) (X:set_Product_prod_a_a), (((ord_le1824328871od_a_a Y) X)->(((eq Prop) ((ord_le1824328871od_a_a X) Y)) (((eq set_Product_prod_a_a) X) Y))))
% 0.69/0.84  FOF formula (forall (Y:set_a) (X:set_a), (((ord_less_eq_set_a Y) X)->(((eq Prop) ((ord_less_eq_set_a X) Y)) (((eq set_a) X) Y)))) of role axiom named fact_162_antisym__conv
% 0.69/0.84  A new axiom: (forall (Y:set_a) (X:set_a), (((ord_less_eq_set_a Y) X)->(((eq Prop) ((ord_less_eq_set_a X) Y)) (((eq set_a) X) Y))))
% 0.69/0.84  FOF formula (forall (Y:refine424419629nres_a) (X:refine424419629nres_a), (((ord_le519537037nres_a Y) X)->(((eq Prop) ((ord_le519537037nres_a X) Y)) (((eq refine424419629nres_a) X) Y)))) of role axiom named fact_163_antisym__conv
% 0.69/0.84  A new axiom: (forall (Y:refine424419629nres_a) (X:refine424419629nres_a), (((ord_le519537037nres_a Y) X)->(((eq Prop) ((ord_le519537037nres_a X) Y)) (((eq refine424419629nres_a) X) Y))))
% 0.69/0.84  FOF formula (forall (Y:refine787176636t_unit) (X:refine787176636t_unit), (((ord_le1051254044t_unit Y) X)->(((eq Prop) ((ord_le1051254044t_unit X) Y)) (((eq refine787176636t_unit) X) Y)))) of role axiom named fact_164_antisym__conv
% 0.69/0.84  A new axiom: (forall (Y:refine787176636t_unit) (X:refine787176636t_unit), (((ord_le1051254044t_unit Y) X)->(((eq Prop) ((ord_le1051254044t_unit X) Y)) (((eq refine787176636t_unit) X) Y))))
% 0.69/0.84  FOF formula (((eq (set_Pr451126599t_unit->(set_Pr451126599t_unit->Prop))) (fun (Y2:set_Pr451126599t_unit) (Z:set_Pr451126599t_unit)=> (((eq set_Pr451126599t_unit) Y2) Z))) (fun (A3:set_Pr451126599t_unit) (B3:set_Pr451126599t_unit)=> ((and ((ord_le2035129575t_unit A3) B3)) ((ord_le2035129575t_unit B3) A3)))) of role axiom named fact_165_order__class_Oorder_Oeq__iff
% 0.69/0.84  A new axiom: (((eq (set_Pr451126599t_unit->(set_Pr451126599t_unit->Prop))) (fun (Y2:set_Pr451126599t_unit) (Z:set_Pr451126599t_unit)=> (((eq set_Pr451126599t_unit) Y2) Z))) (fun (A3:set_Pr451126599t_unit) (B3:set_Pr451126599t_unit)=> ((and ((ord_le2035129575t_unit A3) B3)) ((ord_le2035129575t_unit B3) A3))))
% 0.69/0.84  FOF formula (((eq (set_Pr1720557880unit_a->(set_Pr1720557880unit_a->Prop))) (fun (Y2:set_Pr1720557880unit_a) (Z:set_Pr1720557880unit_a)=> (((eq set_Pr1720557880unit_a) Y2) Z))) (fun (A3:set_Pr1720557880unit_a) (B3:set_Pr1720557880unit_a)=> ((and ((ord_le2070001880unit_a A3) B3)) ((ord_le2070001880unit_a B3) A3)))) of role axiom named fact_166_order__class_Oorder_Oeq__iff
% 0.69/0.85  A new axiom: (((eq (set_Pr1720557880unit_a->(set_Pr1720557880unit_a->Prop))) (fun (Y2:set_Pr1720557880unit_a) (Z:set_Pr1720557880unit_a)=> (((eq set_Pr1720557880unit_a) Y2) Z))) (fun (A3:set_Pr1720557880unit_a) (B3:set_Pr1720557880unit_a)=> ((and ((ord_le2070001880unit_a A3) B3)) ((ord_le2070001880unit_a B3) A3))))
% 0.69/0.85  FOF formula (((eq (set_Pr1628433942t_unit->(set_Pr1628433942t_unit->Prop))) (fun (Y2:set_Pr1628433942t_unit) (Z:set_Pr1628433942t_unit)=> (((eq set_Pr1628433942t_unit) Y2) Z))) (fun (A3:set_Pr1628433942t_unit) (B3:set_Pr1628433942t_unit)=> ((and ((ord_le1977877942t_unit A3) B3)) ((ord_le1977877942t_unit B3) A3)))) of role axiom named fact_167_order__class_Oorder_Oeq__iff
% 0.69/0.85  A new axiom: (((eq (set_Pr1628433942t_unit->(set_Pr1628433942t_unit->Prop))) (fun (Y2:set_Pr1628433942t_unit) (Z:set_Pr1628433942t_unit)=> (((eq set_Pr1628433942t_unit) Y2) Z))) (fun (A3:set_Pr1628433942t_unit) (B3:set_Pr1628433942t_unit)=> ((and ((ord_le1977877942t_unit A3) B3)) ((ord_le1977877942t_unit B3) A3))))
% 0.69/0.85  FOF formula (((eq (set_Product_prod_a_a->(set_Product_prod_a_a->Prop))) (fun (Y2:set_Product_prod_a_a) (Z:set_Product_prod_a_a)=> (((eq set_Product_prod_a_a) Y2) Z))) (fun (A3:set_Product_prod_a_a) (B3:set_Product_prod_a_a)=> ((and ((ord_le1824328871od_a_a A3) B3)) ((ord_le1824328871od_a_a B3) A3)))) of role axiom named fact_168_order__class_Oorder_Oeq__iff
% 0.69/0.85  A new axiom: (((eq (set_Product_prod_a_a->(set_Product_prod_a_a->Prop))) (fun (Y2:set_Product_prod_a_a) (Z:set_Product_prod_a_a)=> (((eq set_Product_prod_a_a) Y2) Z))) (fun (A3:set_Product_prod_a_a) (B3:set_Product_prod_a_a)=> ((and ((ord_le1824328871od_a_a A3) B3)) ((ord_le1824328871od_a_a B3) A3))))
% 0.69/0.85  FOF formula (((eq (set_a->(set_a->Prop))) (fun (Y2:set_a) (Z:set_a)=> (((eq set_a) Y2) Z))) (fun (A3:set_a) (B3:set_a)=> ((and ((ord_less_eq_set_a A3) B3)) ((ord_less_eq_set_a B3) A3)))) of role axiom named fact_169_order__class_Oorder_Oeq__iff
% 0.69/0.85  A new axiom: (((eq (set_a->(set_a->Prop))) (fun (Y2:set_a) (Z:set_a)=> (((eq set_a) Y2) Z))) (fun (A3:set_a) (B3:set_a)=> ((and ((ord_less_eq_set_a A3) B3)) ((ord_less_eq_set_a B3) A3))))
% 0.69/0.85  FOF formula (((eq (refine424419629nres_a->(refine424419629nres_a->Prop))) (fun (Y2:refine424419629nres_a) (Z:refine424419629nres_a)=> (((eq refine424419629nres_a) Y2) Z))) (fun (A3:refine424419629nres_a) (B3:refine424419629nres_a)=> ((and ((ord_le519537037nres_a A3) B3)) ((ord_le519537037nres_a B3) A3)))) of role axiom named fact_170_order__class_Oorder_Oeq__iff
% 0.69/0.85  A new axiom: (((eq (refine424419629nres_a->(refine424419629nres_a->Prop))) (fun (Y2:refine424419629nres_a) (Z:refine424419629nres_a)=> (((eq refine424419629nres_a) Y2) Z))) (fun (A3:refine424419629nres_a) (B3:refine424419629nres_a)=> ((and ((ord_le519537037nres_a A3) B3)) ((ord_le519537037nres_a B3) A3))))
% 0.69/0.85  FOF formula (((eq (refine787176636t_unit->(refine787176636t_unit->Prop))) (fun (Y2:refine787176636t_unit) (Z:refine787176636t_unit)=> (((eq refine787176636t_unit) Y2) Z))) (fun (A3:refine787176636t_unit) (B3:refine787176636t_unit)=> ((and ((ord_le1051254044t_unit A3) B3)) ((ord_le1051254044t_unit B3) A3)))) of role axiom named fact_171_order__class_Oorder_Oeq__iff
% 0.69/0.85  A new axiom: (((eq (refine787176636t_unit->(refine787176636t_unit->Prop))) (fun (Y2:refine787176636t_unit) (Z:refine787176636t_unit)=> (((eq refine787176636t_unit) Y2) Z))) (fun (A3:refine787176636t_unit) (B3:refine787176636t_unit)=> ((and ((ord_le1051254044t_unit A3) B3)) ((ord_le1051254044t_unit B3) A3))))
% 0.69/0.85  FOF formula (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (C2:refine424419629nres_a), ((((eq refine424419629nres_a) A2) B2)->(((ord_le519537037nres_a B2) C2)->((ord_le519537037nres_a A2) C2)))) of role axiom named fact_172_ord__eq__le__trans
% 0.69/0.85  A new axiom: (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (C2:refine424419629nres_a), ((((eq refine424419629nres_a) A2) B2)->(((ord_le519537037nres_a B2) C2)->((ord_le519537037nres_a A2) C2))))
% 0.69/0.85  FOF formula (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit) (C2:refine787176636t_unit), ((((eq refine787176636t_unit) A2) B2)->(((ord_le1051254044t_unit B2) C2)->((ord_le1051254044t_unit A2) C2)))) of role axiom named fact_173_ord__eq__le__trans
% 0.69/0.86  A new axiom: (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit) (C2:refine787176636t_unit), ((((eq refine787176636t_unit) A2) B2)->(((ord_le1051254044t_unit B2) C2)->((ord_le1051254044t_unit A2) C2))))
% 0.69/0.86  FOF formula (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (C2:refine424419629nres_a), (((ord_le519537037nres_a A2) B2)->((((eq refine424419629nres_a) B2) C2)->((ord_le519537037nres_a A2) C2)))) of role axiom named fact_174_ord__le__eq__trans
% 0.69/0.86  A new axiom: (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a) (C2:refine424419629nres_a), (((ord_le519537037nres_a A2) B2)->((((eq refine424419629nres_a) B2) C2)->((ord_le519537037nres_a A2) C2))))
% 0.69/0.86  FOF formula (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit) (C2:refine787176636t_unit), (((ord_le1051254044t_unit A2) B2)->((((eq refine787176636t_unit) B2) C2)->((ord_le1051254044t_unit A2) C2)))) of role axiom named fact_175_ord__le__eq__trans
% 0.69/0.86  A new axiom: (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit) (C2:refine787176636t_unit), (((ord_le1051254044t_unit A2) B2)->((((eq refine787176636t_unit) B2) C2)->((ord_le1051254044t_unit A2) C2))))
% 0.69/0.86  FOF formula (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a), (((ord_le519537037nres_a A2) B2)->(((ord_le519537037nres_a B2) A2)->(((eq refine424419629nres_a) A2) B2)))) of role axiom named fact_176_order__class_Oorder_Oantisym
% 0.69/0.86  A new axiom: (forall (A2:refine424419629nres_a) (B2:refine424419629nres_a), (((ord_le519537037nres_a A2) B2)->(((ord_le519537037nres_a B2) A2)->(((eq refine424419629nres_a) A2) B2))))
% 0.69/0.86  FOF formula (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit), (((ord_le1051254044t_unit A2) B2)->(((ord_le1051254044t_unit B2) A2)->(((eq refine787176636t_unit) A2) B2)))) of role axiom named fact_177_order__class_Oorder_Oantisym
% 0.69/0.86  A new axiom: (forall (A2:refine787176636t_unit) (B2:refine787176636t_unit), (((ord_le1051254044t_unit A2) B2)->(((ord_le1051254044t_unit B2) A2)->(((eq refine787176636t_unit) A2) B2))))
% 0.69/0.86  FOF formula (forall (X:refine424419629nres_a) (Y:refine424419629nres_a) (Z2:refine424419629nres_a), (((ord_le519537037nres_a X) Y)->(((ord_le519537037nres_a Y) Z2)->((ord_le519537037nres_a X) Z2)))) of role axiom named fact_178_order__trans
% 0.69/0.86  A new axiom: (forall (X:refine424419629nres_a) (Y:refine424419629nres_a) (Z2:refine424419629nres_a), (((ord_le519537037nres_a X) Y)->(((ord_le519537037nres_a Y) Z2)->((ord_le519537037nres_a X) Z2))))
% 0.69/0.86  FOF formula (forall (X:refine787176636t_unit) (Y:refine787176636t_unit) (Z2:refine787176636t_unit), (((ord_le1051254044t_unit X) Y)->(((ord_le1051254044t_unit Y) Z2)->((ord_le1051254044t_unit X) Z2)))) of role axiom named fact_179_order__trans
% 0.69/0.86  A new axiom: (forall (X:refine787176636t_unit) (Y:refine787176636t_unit) (Z2:refine787176636t_unit), (((ord_le1051254044t_unit X) Y)->(((ord_le1051254044t_unit Y) Z2)->((ord_le1051254044t_unit X) Z2))))
% 0.69/0.86  FOF formula (forall (A2:refine424419629nres_a), ((ord_le519537037nres_a A2) A2)) of role axiom named fact_180_dual__order_Orefl
% 0.69/0.86  A new axiom: (forall (A2:refine424419629nres_a), ((ord_le519537037nres_a A2) A2))
% 0.69/0.86  FOF formula (forall (A2:refine787176636t_unit), ((ord_le1051254044t_unit A2) A2)) of role axiom named fact_181_dual__order_Orefl
% 0.69/0.86  A new axiom: (forall (A2:refine787176636t_unit), ((ord_le1051254044t_unit A2) A2))
% 0.69/0.86  FOF formula (forall (B2:refine424419629nres_a) (A2:refine424419629nres_a) (C2:refine424419629nres_a), (((ord_le519537037nres_a B2) A2)->(((ord_le519537037nres_a C2) B2)->((ord_le519537037nres_a C2) A2)))) of role axiom named fact_182_dual__order_Otrans
% 0.69/0.86  A new axiom: (forall (B2:refine424419629nres_a) (A2:refine424419629nres_a) (C2:refine424419629nres_a), (((ord_le519537037nres_a B2) A2)->(((ord_le519537037nres_a C2) B2)->((ord_le519537037nres_a C2) A2))))
% 0.69/0.86  FOF formula (forall (B2:refine787176636t_unit) (A2:refine787176636t_unit) (C2:refine787176636t_unit), (((ord_le1051254044t_unit B2) A2)->(((ord_le1051254044t_unit C2) B2)->((ord_le1051254044t_unit C2) A2)))) of role axiom named fact_183_dual__order_Otrans
% 0.69/0.87  A new axiom: (forall (B2:refine787176636t_unit) (A2:refine787176636t_unit) (C2:refine787176636t_unit), (((ord_le1051254044t_unit B2) A2)->(((ord_le1051254044t_unit C2) B2)->((ord_le1051254044t_unit C2) A2))))
% 0.69/0.87  FOF formula (forall (A2:refine424419629nres_a), ((ord_le519537037nres_a A2) top_to231829469nres_a)) of role axiom named fact_184_top__greatest
% 0.69/0.87  A new axiom: (forall (A2:refine424419629nres_a), ((ord_le519537037nres_a A2) top_to231829469nres_a))
% 0.69/0.87  FOF formula (forall (A2:refine787176636t_unit), ((ord_le1051254044t_unit A2) top_to177290092t_unit)) of role axiom named fact_185_top__greatest
% 0.69/0.87  A new axiom: (forall (A2:refine787176636t_unit), ((ord_le1051254044t_unit A2) top_to177290092t_unit))
% 0.69/0.87  FOF formula (forall (S:refine424419629nres_a) (S2:refine424419629nres_a), (((ord_le519537037nres_a S) S2)->((refine412683989fail_a S2)->(refine412683989fail_a S)))) of role axiom named fact_186_pwD1
% 0.69/0.87  A new axiom: (forall (S:refine424419629nres_a) (S2:refine424419629nres_a), (((ord_le519537037nres_a S) S2)->((refine412683989fail_a S2)->(refine412683989fail_a S))))
% 0.69/0.87  FOF formula (forall (S:refine787176636t_unit) (S2:refine787176636t_unit), (((ord_le1051254044t_unit S) S2)->((refine579265252t_unit S2)->(refine579265252t_unit S)))) of role axiom named fact_187_pwD1
% 0.69/0.87  A new axiom: (forall (S:refine787176636t_unit) (S2:refine787176636t_unit), (((ord_le1051254044t_unit S) S2)->((refine579265252t_unit S2)->(refine579265252t_unit S))))
% 0.69/0.87  FOF formula (forall (S:refine424419629nres_a) (S2:refine424419629nres_a) (X:a), (((ord_le519537037nres_a S) S2)->(((refine1001002027nres_a S) X)->((refine1001002027nres_a S2) X)))) of role axiom named fact_188_pwD2
% 0.69/0.87  A new axiom: (forall (S:refine424419629nres_a) (S2:refine424419629nres_a) (X:a), (((ord_le519537037nres_a S) S2)->(((refine1001002027nres_a S) X)->((refine1001002027nres_a S2) X))))
% 0.69/0.87  FOF formula (forall (S:refine787176636t_unit) (S2:refine787176636t_unit) (X:product_unit), (((ord_le1051254044t_unit S) S2)->(((refine558004794t_unit S) X)->((refine558004794t_unit S2) X)))) of role axiom named fact_189_pwD2
% 0.69/0.87  A new axiom: (forall (S:refine787176636t_unit) (S2:refine787176636t_unit) (X:product_unit), (((ord_le1051254044t_unit S) S2)->(((refine558004794t_unit S) X)->((refine558004794t_unit S2) X))))
% 0.69/0.87  FOF formula (((eq (refine424419629nres_a->(refine424419629nres_a->Prop))) (fun (Y2:refine424419629nres_a) (Z:refine424419629nres_a)=> (((eq refine424419629nres_a) Y2) Z))) (fun (A3:refine424419629nres_a) (B3:refine424419629nres_a)=> ((and ((ord_le519537037nres_a B3) A3)) ((ord_le519537037nres_a A3) B3)))) of role axiom named fact_190_dual__order_Oeq__iff
% 0.69/0.87  A new axiom: (((eq (refine424419629nres_a->(refine424419629nres_a->Prop))) (fun (Y2:refine424419629nres_a) (Z:refine424419629nres_a)=> (((eq refine424419629nres_a) Y2) Z))) (fun (A3:refine424419629nres_a) (B3:refine424419629nres_a)=> ((and ((ord_le519537037nres_a B3) A3)) ((ord_le519537037nres_a A3) B3))))
% 0.69/0.87  FOF formula (((eq (refine787176636t_unit->(refine787176636t_unit->Prop))) (fun (Y2:refine787176636t_unit) (Z:refine787176636t_unit)=> (((eq refine787176636t_unit) Y2) Z))) (fun (A3:refine787176636t_unit) (B3:refine787176636t_unit)=> ((and ((ord_le1051254044t_unit B3) A3)) ((ord_le1051254044t_unit A3) B3)))) of role axiom named fact_191_dual__order_Oeq__iff
% 0.69/0.87  A new axiom: (((eq (refine787176636t_unit->(refine787176636t_unit->Prop))) (fun (Y2:refine787176636t_unit) (Z:refine787176636t_unit)=> (((eq refine787176636t_unit) Y2) Z))) (fun (A3:refine787176636t_unit) (B3:refine787176636t_unit)=> ((and ((ord_le1051254044t_unit B3) A3)) ((ord_le1051254044t_unit A3) B3))))
% 0.69/0.87  FOF formula (forall (B2:refine424419629nres_a) (A2:refine424419629nres_a), (((ord_le519537037nres_a B2) A2)->(((ord_le519537037nres_a A2) B2)->(((eq refine424419629nres_a) A2) B2)))) of role axiom named fact_192_dual__order_Oantisym
% 0.69/0.87  A new axiom: (forall (B2:refine424419629nres_a) (A2:refine424419629nres_a), (((ord_le519537037nres_a B2) A2)->(((ord_le519537037nres_a A2) B2)->(((eq refine424419629nres_a) A2) B2))))
% 0.69/0.87  FOF formula (forall (B2:refine787176636t_unit) (A2:refine787176636t_unit), (((ord_le1051254044t_unit B2) A2)->(((ord_le1051254044t_unit A2) B2)->(((eq refine787176636t_unit) A2) B2)))) of role axiom named fact_193_dual__order_Oantisym
% 0.72/0.87  A new axiom: (forall (B2:refine787176636t_unit) (A2:refine787176636t_unit), (((ord_le1051254044t_unit B2) A2)->(((ord_le1051254044t_unit A2) B2)->(((eq refine787176636t_unit) A2) B2))))
% 0.72/0.87  FOF formula (forall (S:refine424419629nres_a) (S2:refine424419629nres_a), ((((eq Prop) (refine412683989fail_a S)) (refine412683989fail_a S2))->((forall (X2:a), (((eq Prop) ((refine1001002027nres_a S) X2)) ((refine1001002027nres_a S2) X2)))->(((eq refine424419629nres_a) S) S2)))) of role axiom named fact_194_pw__eqI
% 0.72/0.87  A new axiom: (forall (S:refine424419629nres_a) (S2:refine424419629nres_a), ((((eq Prop) (refine412683989fail_a S)) (refine412683989fail_a S2))->((forall (X2:a), (((eq Prop) ((refine1001002027nres_a S) X2)) ((refine1001002027nres_a S2) X2)))->(((eq refine424419629nres_a) S) S2))))
% 0.72/0.87  FOF formula (forall (S:refine787176636t_unit) (S2:refine787176636t_unit), ((((eq Prop) (refine579265252t_unit S)) (refine579265252t_unit S2))->((forall (X2:product_unit), (((eq Prop) ((refine558004794t_unit S) X2)) ((refine558004794t_unit S2) X2)))->(((eq refine787176636t_unit) S) S2)))) of role axiom named fact_195_pw__eqI
% 0.72/0.87  A new axiom: (forall (S:refine787176636t_unit) (S2:refine787176636t_unit), ((((eq Prop) (refine579265252t_unit S)) (refine579265252t_unit S2))->((forall (X2:product_unit), (((eq Prop) ((refine558004794t_unit S) X2)) ((refine558004794t_unit S2) X2)))->(((eq refine787176636t_unit) S) S2))))
% 0.72/0.87  FOF formula (forall (S2:refine424419629nres_a) (S:refine424419629nres_a), (((refine412683989fail_a S2)->((and (refine412683989fail_a S)) (forall (X2:a), (((refine1001002027nres_a S) X2)->((refine1001002027nres_a S2) X2)))))->((ord_le519537037nres_a S) S2))) of role axiom named fact_196_pw__leI
% 0.72/0.87  A new axiom: (forall (S2:refine424419629nres_a) (S:refine424419629nres_a), (((refine412683989fail_a S2)->((and (refine412683989fail_a S)) (forall (X2:a), (((refine1001002027nres_a S) X2)->((refine1001002027nres_a S2) X2)))))->((ord_le519537037nres_a S) S2)))
% 0.72/0.87  FOF formula (forall (S2:refine787176636t_unit) (S:refine787176636t_unit), (((refine579265252t_unit S2)->((and (refine579265252t_unit S)) (forall (X2:product_unit), (((refine558004794t_unit S) X2)->((refine558004794t_unit S2) X2)))))->((ord_le1051254044t_unit S) S2))) of role axiom named fact_197_pw__leI
% 0.72/0.87  A new axiom: (forall (S2:refine787176636t_unit) (S:refine787176636t_unit), (((refine579265252t_unit S2)->((and (refine579265252t_unit S)) (forall (X2:product_unit), (((refine558004794t_unit S) X2)->((refine558004794t_unit S2) X2)))))->((ord_le1051254044t_unit S) S2)))
% 0.72/0.87  FOF formula (forall (S2:refine424419629nres_a) (S:refine424419629nres_a), (((refine412683989fail_a S2)->(refine412683989fail_a S))->((forall (X2:a), ((refine412683989fail_a S2)->(((refine1001002027nres_a S) X2)->((refine1001002027nres_a S2) X2))))->((ord_le519537037nres_a S) S2)))) of role axiom named fact_198_pw__leI_H
% 0.72/0.87  A new axiom: (forall (S2:refine424419629nres_a) (S:refine424419629nres_a), (((refine412683989fail_a S2)->(refine412683989fail_a S))->((forall (X2:a), ((refine412683989fail_a S2)->(((refine1001002027nres_a S) X2)->((refine1001002027nres_a S2) X2))))->((ord_le519537037nres_a S) S2))))
% 0.72/0.87  FOF formula (forall (S2:refine787176636t_unit) (S:refine787176636t_unit), (((refine579265252t_unit S2)->(refine579265252t_unit S))->((forall (X2:product_unit), ((refine579265252t_unit S2)->(((refine558004794t_unit S) X2)->((refine558004794t_unit S2) X2))))->((ord_le1051254044t_unit S) S2)))) of role axiom named fact_199_pw__leI_H
% 0.72/0.87  A new axiom: (forall (S2:refine787176636t_unit) (S:refine787176636t_unit), (((refine579265252t_unit S2)->(refine579265252t_unit S))->((forall (X2:product_unit), ((refine579265252t_unit S2)->(((refine558004794t_unit S) X2)->((refine558004794t_unit S2) X2))))->((ord_le1051254044t_unit S) S2))))
% 0.72/0.87  FOF formula (forall (R:set_Product_prod_a_a) (C:refine424419629nres_a) (B:refine424419629nres_a) (R2:set_Product_prod_a_a) (A:refine424419629nres_a), (((ord_le519537037nres_a ((refine1136779702un_a_a R) C)) B)->(((ord_le519537037nres_a ((refine1136779702un_a_a R2) B)) A)->((ord_le519537037nres_a ((refine1136779702un_a_a R2) ((refine1136779702un_a_a R) C))) A)))) of role axiom named fact_200_abs__trans
% 0.72/0.88  A new axiom: (forall (R:set_Product_prod_a_a) (C:refine424419629nres_a) (B:refine424419629nres_a) (R2:set_Product_prod_a_a) (A:refine424419629nres_a), (((ord_le519537037nres_a ((refine1136779702un_a_a R) C)) B)->(((ord_le519537037nres_a ((refine1136779702un_a_a R2) B)) A)->((ord_le519537037nres_a ((refine1136779702un_a_a R2) ((refine1136779702un_a_a R) C))) A))))
% 0.72/0.88  FOF formula (forall (R:set_Product_prod_a_a) (C:refine424419629nres_a) (B:refine424419629nres_a) (R2:set_Pr1628433942t_unit) (A:refine787176636t_unit), (((ord_le519537037nres_a ((refine1136779702un_a_a R) C)) B)->(((ord_le1051254044t_unit ((refine341651653t_unit R2) B)) A)->((ord_le1051254044t_unit ((refine341651653t_unit R2) ((refine1136779702un_a_a R) C))) A)))) of role axiom named fact_201_abs__trans
% 0.72/0.88  A new axiom: (forall (R:set_Product_prod_a_a) (C:refine424419629nres_a) (B:refine424419629nres_a) (R2:set_Pr1628433942t_unit) (A:refine787176636t_unit), (((ord_le519537037nres_a ((refine1136779702un_a_a R) C)) B)->(((ord_le1051254044t_unit ((refine341651653t_unit R2) B)) A)->((ord_le1051254044t_unit ((refine341651653t_unit R2) ((refine1136779702un_a_a R) C))) A))))
% 0.72/0.88  FOF formula (forall (R:set_Pr1628433942t_unit) (C:refine424419629nres_a) (B:refine787176636t_unit) (R2:set_Pr1720557880unit_a) (A:refine424419629nres_a), (((ord_le1051254044t_unit ((refine341651653t_unit R) C)) B)->(((ord_le519537037nres_a ((refine364464487unit_a R2) B)) A)->((ord_le519537037nres_a ((refine364464487unit_a R2) ((refine341651653t_unit R) C))) A)))) of role axiom named fact_202_abs__trans
% 0.72/0.88  A new axiom: (forall (R:set_Pr1628433942t_unit) (C:refine424419629nres_a) (B:refine787176636t_unit) (R2:set_Pr1720557880unit_a) (A:refine424419629nres_a), (((ord_le1051254044t_unit ((refine341651653t_unit R) C)) B)->(((ord_le519537037nres_a ((refine364464487unit_a R2) B)) A)->((ord_le519537037nres_a ((refine364464487unit_a R2) ((refine341651653t_unit R) C))) A))))
% 0.72/0.88  FOF formula (forall (R:set_Pr1628433942t_unit) (C:refine424419629nres_a) (B:refine787176636t_unit) (R2:set_Pr451126599t_unit) (A:refine787176636t_unit), (((ord_le1051254044t_unit ((refine341651653t_unit R) C)) B)->(((ord_le1051254044t_unit ((refine838861686t_unit R2) B)) A)->((ord_le1051254044t_unit ((refine838861686t_unit R2) ((refine341651653t_unit R) C))) A)))) of role axiom named fact_203_abs__trans
% 0.72/0.88  A new axiom: (forall (R:set_Pr1628433942t_unit) (C:refine424419629nres_a) (B:refine787176636t_unit) (R2:set_Pr451126599t_unit) (A:refine787176636t_unit), (((ord_le1051254044t_unit ((refine341651653t_unit R) C)) B)->(((ord_le1051254044t_unit ((refine838861686t_unit R2) B)) A)->((ord_le1051254044t_unit ((refine838861686t_unit R2) ((refine341651653t_unit R) C))) A))))
% 0.72/0.88  FOF formula (forall (R:set_Pr1720557880unit_a) (C:refine787176636t_unit) (B:refine424419629nres_a) (R2:set_Product_prod_a_a) (A:refine424419629nres_a), (((ord_le519537037nres_a ((refine364464487unit_a R) C)) B)->(((ord_le519537037nres_a ((refine1136779702un_a_a R2) B)) A)->((ord_le519537037nres_a ((refine1136779702un_a_a R2) ((refine364464487unit_a R) C))) A)))) of role axiom named fact_204_abs__trans
% 0.72/0.88  A new axiom: (forall (R:set_Pr1720557880unit_a) (C:refine787176636t_unit) (B:refine424419629nres_a) (R2:set_Product_prod_a_a) (A:refine424419629nres_a), (((ord_le519537037nres_a ((refine364464487unit_a R) C)) B)->(((ord_le519537037nres_a ((refine1136779702un_a_a R2) B)) A)->((ord_le519537037nres_a ((refine1136779702un_a_a R2) ((refine364464487unit_a R) C))) A))))
% 0.72/0.88  FOF formula (forall (R:set_Pr1720557880unit_a) (C:refine787176636t_unit) (B:refine424419629nres_a) (R2:set_Pr1628433942t_unit) (A:refine787176636t_unit), (((ord_le519537037nres_a ((refine364464487unit_a R) C)) B)->(((ord_le1051254044t_unit ((refine341651653t_unit R2) B)) A)->((ord_le1051254044t_unit ((refine341651653t_unit R2) ((refine364464487unit_a R) C))) A)))) of role axiom named fact_205_abs__trans
% 0.72/0.89  A new axiom: (forall (R:set_Pr1720557880unit_a) (C:refine787176636t_unit) (B:refine424419629nres_a) (R2:set_Pr1628433942t_unit) (A:refine787176636t_unit), (((ord_le519537037nres_a ((refine364464487unit_a R) C)) B)->(((ord_le1051254044t_unit ((refine341651653t_unit R2) B)) A)->((ord_le1051254044t_unit ((refine341651653t_unit R2) ((refine364464487unit_a R) C))) A))))
% 0.72/0.89  FOF formula (forall (R:set_Pr451126599t_unit) (C:refine787176636t_unit) (B:refine787176636t_unit) (R2:set_Pr1720557880unit_a) (A:refine424419629nres_a), (((ord_le1051254044t_unit ((refine838861686t_unit R) C)) B)->(((ord_le519537037nres_a ((refine364464487unit_a R2) B)) A)->((ord_le519537037nres_a ((refine364464487unit_a R2) ((refine838861686t_unit R) C))) A)))) of role axiom named fact_206_abs__trans
% 0.72/0.89  A new axiom: (forall (R:set_Pr451126599t_unit) (C:refine787176636t_unit) (B:refine787176636t_unit) (R2:set_Pr1720557880unit_a) (A:refine424419629nres_a), (((ord_le1051254044t_unit ((refine838861686t_unit R) C)) B)->(((ord_le519537037nres_a ((refine364464487unit_a R2) B)) A)->((ord_le519537037nres_a ((refine364464487unit_a R2) ((refine838861686t_unit R) C))) A))))
% 0.72/0.89  FOF formula (forall (R:set_Pr451126599t_unit) (C:refine787176636t_unit) (B:refine787176636t_unit) (R2:set_Pr451126599t_unit) (A:refine787176636t_unit), (((ord_le1051254044t_unit ((refine838861686t_unit R) C)) B)->(((ord_le1051254044t_unit ((refine838861686t_unit R2) B)) A)->((ord_le1051254044t_unit ((refine838861686t_unit R2) ((refine838861686t_unit R) C))) A)))) of role axiom named fact_207_abs__trans
% 0.72/0.89  A new axiom: (forall (R:set_Pr451126599t_unit) (C:refine787176636t_unit) (B:refine787176636t_unit) (R2:set_Pr451126599t_unit) (A:refine787176636t_unit), (((ord_le1051254044t_unit ((refine838861686t_unit R) C)) B)->(((ord_le1051254044t_unit ((refine838861686t_unit R2) B)) A)->((ord_le1051254044t_unit ((refine838861686t_unit R2) ((refine838861686t_unit R) C))) A))))
% 0.72/0.89  FOF formula (((eq (refine787176636t_unit->(product_unit->Prop))) refine558004794t_unit) (fun (S3:refine787176636t_unit) (X3:product_unit)=> ((ord_le1051254044t_unit (refine1420258419t_unit X3)) S3))) of role axiom named fact_208_inres__def
% 0.72/0.89  A new axiom: (((eq (refine787176636t_unit->(product_unit->Prop))) refine558004794t_unit) (fun (S3:refine787176636t_unit) (X3:product_unit)=> ((ord_le1051254044t_unit (refine1420258419t_unit X3)) S3)))
% 0.72/0.89  FOF formula (((eq (refine424419629nres_a->(a->Prop))) refine1001002027nres_a) (fun (S3:refine424419629nres_a) (X3:a)=> ((ord_le519537037nres_a (refine2063221604TURN_a X3)) S3))) of role axiom named fact_209_inres__def
% 0.72/0.89  A new axiom: (((eq (refine424419629nres_a->(a->Prop))) refine1001002027nres_a) (fun (S3:refine424419629nres_a) (X3:a)=> ((ord_le519537037nres_a (refine2063221604TURN_a X3)) S3)))
% 0.72/0.89  FOF formula (((eq (refine424419629nres_a->(refine424419629nres_a->Prop))) (fun (Y2:refine424419629nres_a) (Z:refine424419629nres_a)=> (((eq refine424419629nres_a) Y2) Z))) (fun (S3:refine424419629nres_a) (S4:refine424419629nres_a)=> ((and (((eq Prop) (refine412683989fail_a S3)) (refine412683989fail_a S4))) (forall (X3:a), (((eq Prop) ((refine1001002027nres_a S3) X3)) ((refine1001002027nres_a S4) X3)))))) of role axiom named fact_210_pw__eq__iff
% 0.72/0.89  A new axiom: (((eq (refine424419629nres_a->(refine424419629nres_a->Prop))) (fun (Y2:refine424419629nres_a) (Z:refine424419629nres_a)=> (((eq refine424419629nres_a) Y2) Z))) (fun (S3:refine424419629nres_a) (S4:refine424419629nres_a)=> ((and (((eq Prop) (refine412683989fail_a S3)) (refine412683989fail_a S4))) (forall (X3:a), (((eq Prop) ((refine1001002027nres_a S3) X3)) ((refine1001002027nres_a S4) X3))))))
% 0.72/0.89  FOF formula (((eq (refine787176636t_unit->(refine787176636t_unit->Prop))) (fun (Y2:refine787176636t_unit) (Z:refine787176636t_unit)=> (((eq refine787176636t_unit) Y2) Z))) (fun (S3:refine787176636t_unit) (S4:refine787176636t_unit)=> ((and (((eq Prop) (refine579265252t_unit S3)) (refine579265252t_unit S4))) (forall (X3:product_unit), (((eq Prop) ((refine558004794t_unit S3) X3)) ((refine558004794t_unit S4) X3)))))) of role axiom named fact_211_pw__eq__iff
% 0.72/0.90  A new axiom: (((eq (refine787176636t_unit->(refine787176636t_unit->Prop))) (fun (Y2:refine787176636t_unit) (Z:refine787176636t_unit)=> (((eq refine787176636t_unit) Y2) Z))) (fun (S3:refine787176636t_unit) (S4:refine787176636t_unit)=> ((and (((eq Prop) (refine579265252t_unit S3)) (refine579265252t_unit S4))) (forall (X3:product_unit), (((eq Prop) ((refine558004794t_unit S3) X3)) ((refine558004794t_unit S4) X3))))))
% 0.72/0.90  FOF formula (((eq (refine424419629nres_a->(refine424419629nres_a->Prop))) ord_le519537037nres_a) (fun (S3:refine424419629nres_a) (S4:refine424419629nres_a)=> ((refine412683989fail_a S4)->((and (refine412683989fail_a S3)) (forall (X3:a), (((refine1001002027nres_a S3) X3)->((refine1001002027nres_a S4) X3))))))) of role axiom named fact_212_pw__le__iff
% 0.72/0.90  A new axiom: (((eq (refine424419629nres_a->(refine424419629nres_a->Prop))) ord_le519537037nres_a) (fun (S3:refine424419629nres_a) (S4:refine424419629nres_a)=> ((refine412683989fail_a S4)->((and (refine412683989fail_a S3)) (forall (X3:a), (((refine1001002027nres_a S3) X3)->((refine1001002027nres_a S4) X3)))))))
% 0.72/0.90  FOF formula (((eq (refine787176636t_unit->(refine787176636t_unit->Prop))) ord_le1051254044t_unit) (fun (S3:refine787176636t_unit) (S4:refine787176636t_unit)=> ((refine579265252t_unit S4)->((and (refine579265252t_unit S3)) (forall (X3:product_unit), (((refine558004794t_unit S3) X3)->((refine558004794t_unit S4) X3))))))) of role axiom named fact_213_pw__le__iff
% 0.72/0.90  A new axiom: (((eq (refine787176636t_unit->(refine787176636t_unit->Prop))) ord_le1051254044t_unit) (fun (S3:refine787176636t_unit) (S4:refine787176636t_unit)=> ((refine579265252t_unit S4)->((and (refine579265252t_unit S3)) (forall (X3:product_unit), (((refine558004794t_unit S3) X3)->((refine558004794t_unit S4) X3)))))))
% 0.72/0.90  FOF formula (forall (C:refine424419629nres_a) (R:set_Product_prod_a_a) (B:refine424419629nres_a) (R2:set_Product_prod_a_a) (A:refine424419629nres_a), (((ord_le519537037nres_a C) ((refine1441824853un_a_a R) B))->(((ord_le519537037nres_a B) ((refine1441824853un_a_a R2) A))->((ord_le519537037nres_a C) ((refine1441824853un_a_a R) ((refine1441824853un_a_a R2) A)))))) of role axiom named fact_214_conc__trans
% 0.72/0.90  A new axiom: (forall (C:refine424419629nres_a) (R:set_Product_prod_a_a) (B:refine424419629nres_a) (R2:set_Product_prod_a_a) (A:refine424419629nres_a), (((ord_le519537037nres_a C) ((refine1441824853un_a_a R) B))->(((ord_le519537037nres_a B) ((refine1441824853un_a_a R2) A))->((ord_le519537037nres_a C) ((refine1441824853un_a_a R) ((refine1441824853un_a_a R2) A))))))
% 0.72/0.90  FOF formula (forall (C:refine424419629nres_a) (R:set_Product_prod_a_a) (B:refine424419629nres_a) (R2:set_Pr1628433942t_unit) (A:refine787176636t_unit), (((ord_le519537037nres_a C) ((refine1441824853un_a_a R) B))->(((ord_le519537037nres_a B) ((refine2021053540t_unit R2) A))->((ord_le519537037nres_a C) ((refine1441824853un_a_a R) ((refine2021053540t_unit R2) A)))))) of role axiom named fact_215_conc__trans
% 0.72/0.90  A new axiom: (forall (C:refine424419629nres_a) (R:set_Product_prod_a_a) (B:refine424419629nres_a) (R2:set_Pr1628433942t_unit) (A:refine787176636t_unit), (((ord_le519537037nres_a C) ((refine1441824853un_a_a R) B))->(((ord_le519537037nres_a B) ((refine2021053540t_unit R2) A))->((ord_le519537037nres_a C) ((refine1441824853un_a_a R) ((refine2021053540t_unit R2) A))))))
% 0.72/0.90  FOF formula (forall (C:refine787176636t_unit) (R:set_Pr1720557880unit_a) (B:refine424419629nres_a) (R2:set_Product_prod_a_a) (A:refine424419629nres_a), (((ord_le1051254044t_unit C) ((refine2043866374unit_a R) B))->(((ord_le519537037nres_a B) ((refine1441824853un_a_a R2) A))->((ord_le1051254044t_unit C) ((refine2043866374unit_a R) ((refine1441824853un_a_a R2) A)))))) of role axiom named fact_216_conc__trans
% 0.72/0.90  A new axiom: (forall (C:refine787176636t_unit) (R:set_Pr1720557880unit_a) (B:refine424419629nres_a) (R2:set_Product_prod_a_a) (A:refine424419629nres_a), (((ord_le1051254044t_unit C) ((refine2043866374unit_a R) B))->(((ord_le519537037nres_a B) ((refine1441824853un_a_a R2) A))->((ord_le1051254044t_unit C) ((refine2043866374unit_a R) ((refine1441824853un_a_a R2) A))))))
% 0.72/0.90  FOF formula (forall (C:refine787176636t_unit) (R:set_Pr1720557880unit_a) (B:refine424419629nres_a) (R2:set_Pr1628433942t_unit) (A:refine787176636t_unit), (((ord_le1051254044t_unit C) ((refine2043866374unit_a R) B))->(((ord_le519537037nres_a B) ((refine2021053540t_unit R2) A))->((ord_le1051254044t_unit C) ((refine2043866374unit_a R) ((refine2021053540t_unit R2) A)))))) of role axiom named fact_217_conc__trans
% 0.72/0.90  A new axiom: (forall (C:refine787176636t_unit) (R:set_Pr1720557880unit_a) (B:refine424419629nres_a) (R2:set_Pr1628433942t_unit) (A:refine787176636t_unit), (((ord_le1051254044t_unit C) ((refine2043866374unit_a R) B))->(((ord_le519537037nres_a B) ((refine2021053540t_unit R2) A))->((ord_le1051254044t_unit C) ((refine2043866374unit_a R) ((refine2021053540t_unit R2) A))))))
% 0.72/0.90  FOF formula (forall (C:refine424419629nres_a) (R:set_Pr1628433942t_unit) (B:refine787176636t_unit) (R2:set_Pr1720557880unit_a) (A:refine424419629nres_a), (((ord_le519537037nres_a C) ((refine2021053540t_unit R) B))->(((ord_le1051254044t_unit B) ((refine2043866374unit_a R2) A))->((ord_le519537037nres_a C) ((refine2021053540t_unit R) ((refine2043866374unit_a R2) A)))))) of role axiom named fact_218_conc__trans
% 0.72/0.90  A new axiom: (forall (C:refine424419629nres_a) (R:set_Pr1628433942t_unit) (B:refine787176636t_unit) (R2:set_Pr1720557880unit_a) (A:refine424419629nres_a), (((ord_le519537037nres_a C) ((refine2021053540t_unit R) B))->(((ord_le1051254044t_unit B) ((refine2043866374unit_a R2) A))->((ord_le519537037nres_a C) ((refine2021053540t_unit R) ((refine2043866374unit_a R2) A))))))
% 0.72/0.90  FOF formula (forall (C:refine424419629nres_a) (R:set_Pr1628433942t_unit) (B:refine787176636t_unit) (R2:set_Pr451126599t_unit) (A:refine787176636t_unit), (((ord_le519537037nres_a C) ((refine2021053540t_unit R) B))->(((ord_le1051254044t_unit B) ((refine944483349t_unit R2) A))->((ord_le519537037nres_a C) ((refine2021053540t_unit R) ((refine944483349t_unit R2) A)))))) of role axiom named fact_219_conc__trans
% 0.72/0.90  A new axiom: (forall (C:refine424419629nres_a) (R:set_Pr1628433942t_unit) (B:refine787176636t_unit) (R2:set_Pr451126599t_unit) (A:refine787176636t_unit), (((ord_le519537037nres_a C) ((refine2021053540t_unit R) B))->(((ord_le1051254044t_unit B) ((refine944483349t_unit R2) A))->((ord_le519537037nres_a C) ((refine2021053540t_unit R) ((refine944483349t_unit R2) A))))))
% 0.72/0.90  FOF formula (forall (C:refine787176636t_unit) (R:set_Pr451126599t_unit) (B:refine787176636t_unit) (R2:set_Pr1720557880unit_a) (A:refine424419629nres_a), (((ord_le1051254044t_unit C) ((refine944483349t_unit R) B))->(((ord_le1051254044t_unit B) ((refine2043866374unit_a R2) A))->((ord_le1051254044t_unit C) ((refine944483349t_unit R) ((refine2043866374unit_a R2) A)))))) of role axiom named fact_220_conc__trans
% 0.72/0.90  A new axiom: (forall (C:refine787176636t_unit) (R:set_Pr451126599t_unit) (B:refine787176636t_unit) (R2:set_Pr1720557880unit_a) (A:refine424419629nres_a), (((ord_le1051254044t_unit C) ((refine944483349t_unit R) B))->(((ord_le1051254044t_unit B) ((refine2043866374unit_a R2) A))->((ord_le1051254044t_unit C) ((refine944483349t_unit R) ((refine2043866374unit_a R2) A))))))
% 0.72/0.90  FOF formula (forall (C:refine787176636t_unit) (R:set_Pr451126599t_unit) (B:refine787176636t_unit) (R2:set_Pr451126599t_unit) (A:refine787176636t_unit), (((ord_le1051254044t_unit C) ((refine944483349t_unit R) B))->(((ord_le1051254044t_unit B) ((refine944483349t_unit R2) A))->((ord_le1051254044t_unit C) ((refine944483349t_unit R) ((refine944483349t_unit R2) A)))))) of role axiom named fact_221_conc__trans
% 0.72/0.90  A new axiom: (forall (C:refine787176636t_unit) (R:set_Pr451126599t_unit) (B:refine787176636t_unit) (R2:set_Pr451126599t_unit) (A:refine787176636t_unit), (((ord_le1051254044t_unit C) ((refine944483349t_unit R) B))->(((ord_le1051254044t_unit B) ((refine944483349t_unit R2) A))->((ord_le1051254044t_unit C) ((refine944483349t_unit R) ((refine944483349t_unit R2) A))))))
% 0.72/0.90  FOF formula (forall (M2:refine424419629nres_a) (M:refine424419629nres_a), (((refine412683989fail_a M2)->((ord_le519537037nres_a M) M2))->((ord_le519537037nres_a M) M2))) of role axiom named fact_222_le__nofailI
% 0.72/0.91  A new axiom: (forall (M2:refine424419629nres_a) (M:refine424419629nres_a), (((refine412683989fail_a M2)->((ord_le519537037nres_a M) M2))->((ord_le519537037nres_a M) M2)))
% 0.72/0.91  FOF formula (forall (M2:refine787176636t_unit) (M:refine787176636t_unit), (((refine579265252t_unit M2)->((ord_le1051254044t_unit M) M2))->((ord_le1051254044t_unit M) M2))) of role axiom named fact_223_le__nofailI
% 0.72/0.91  A new axiom: (forall (M2:refine787176636t_unit) (M:refine787176636t_unit), (((refine579265252t_unit M2)->((ord_le1051254044t_unit M) M2))->((ord_le1051254044t_unit M) M2)))
% 0.72/0.91  FOF formula (forall (A2:refine424419629nres_a), (((eq Prop) ((ord_le519537037nres_a top_to231829469nres_a) A2)) (((eq refine424419629nres_a) A2) top_to231829469nres_a))) of role axiom named fact_224_top_Oextremum__unique
% 0.72/0.91  A new axiom: (forall (A2:refine424419629nres_a), (((eq Prop) ((ord_le519537037nres_a top_to231829469nres_a) A2)) (((eq refine424419629nres_a) A2) top_to231829469nres_a)))
% 0.72/0.91  FOF formula (forall (A2:refine787176636t_unit), (((eq Prop) ((ord_le1051254044t_unit top_to177290092t_unit) A2)) (((eq refine787176636t_unit) A2) top_to177290092t_unit))) of role axiom named fact_225_top_Oextremum__unique
% 0.72/0.91  A new axiom: (forall (A2:refine787176636t_unit), (((eq Prop) ((ord_le1051254044t_unit top_to177290092t_unit) A2)) (((eq refine787176636t_unit) A2) top_to177290092t_unit)))
% 0.72/0.91  FOF formula (forall (S:refine424419629nres_a) (M:refine424419629nres_a) (F:(a->refine424419629nres_a)), (((refine412683989fail_a S)->(refine412683989fail_a M))->((forall (X2:a), ((refine412683989fail_a M)->(((refine1001002027nres_a M) X2)->((ord_le519537037nres_a (F X2)) S))))->((ord_le519537037nres_a ((refine436832838nd_a_a M) F)) S)))) of role axiom named fact_226_pw__bind__leI
% 0.72/0.91  A new axiom: (forall (S:refine424419629nres_a) (M:refine424419629nres_a) (F:(a->refine424419629nres_a)), (((refine412683989fail_a S)->(refine412683989fail_a M))->((forall (X2:a), ((refine412683989fail_a M)->(((refine1001002027nres_a M) X2)->((ord_le519537037nres_a (F X2)) S))))->((ord_le519537037nres_a ((refine436832838nd_a_a M) F)) S))))
% 0.72/0.91  FOF formula (forall (S:refine787176636t_unit) (M:refine424419629nres_a) (F:(a->refine787176636t_unit)), (((refine579265252t_unit S)->(refine412683989fail_a M))->((forall (X2:a), ((refine412683989fail_a M)->(((refine1001002027nres_a M) X2)->((ord_le1051254044t_unit (F X2)) S))))->((ord_le1051254044t_unit ((refine96995669t_unit M) F)) S)))) of role axiom named fact_227_pw__bind__leI
% 0.72/0.91  A new axiom: (forall (S:refine787176636t_unit) (M:refine424419629nres_a) (F:(a->refine787176636t_unit)), (((refine579265252t_unit S)->(refine412683989fail_a M))->((forall (X2:a), ((refine412683989fail_a M)->(((refine1001002027nres_a M) X2)->((ord_le1051254044t_unit (F X2)) S))))->((ord_le1051254044t_unit ((refine96995669t_unit M) F)) S))))
% 0.72/0.91  FOF formula (forall (S:refine424419629nres_a) (M:refine787176636t_unit) (F:(product_unit->refine424419629nres_a)), (((refine412683989fail_a S)->(refine579265252t_unit M))->((forall (X2:product_unit), ((refine579265252t_unit M)->(((refine558004794t_unit M) X2)->((ord_le519537037nres_a (F X2)) S))))->((ord_le519537037nres_a ((refine119808503unit_a M) F)) S)))) of role axiom named fact_228_pw__bind__leI
% 0.72/0.91  A new axiom: (forall (S:refine424419629nres_a) (M:refine787176636t_unit) (F:(product_unit->refine424419629nres_a)), (((refine412683989fail_a S)->(refine579265252t_unit M))->((forall (X2:product_unit), ((refine579265252t_unit M)->(((refine558004794t_unit M) X2)->((ord_le519537037nres_a (F X2)) S))))->((ord_le519537037nres_a ((refine119808503unit_a M) F)) S))))
% 0.72/0.91  FOF formula (forall (S:refine787176636t_unit) (M:refine787176636t_unit) (F:(product_unit->refine787176636t_unit)), (((refine579265252t_unit S)->(refine579265252t_unit M))->((forall (X2:product_unit), ((refine579265252t_unit M)->(((refine558004794t_unit M) X2)->((ord_le1051254044t_unit (F X2)) S))))->((ord_le1051254044t_unit ((refine681446406t_unit M) F)) S)))) of role axiom named fact_229_pw__bind__leI
% 0.72/0.91  A new axiom: (forall (S:refine787176636t_unit) (M:refine787176636t_unit) (F:(product_unit->refine787176636t_unit)), (((refine579265252t_unit S)->(refine579265252t_unit M))->((forall (X2:product_unit), ((refine579265252t_unit M)->(((refine558004794t_unit M) X2)->((ord_le1051254044t_unit (F X2)) S))))->((ord_le1051254044t_unit ((refine681446406t_unit M) F)) S))))
% 0.72/0.92  FOF formula (forall (A2:refine424419629nres_a), (((ord_le519537037nres_a top_to231829469nres_a) A2)->(((eq refine424419629nres_a) A2) top_to231829469nres_a))) of role axiom named fact_230_top_Oextremum__uniqueI
% 0.72/0.92  A new axiom: (forall (A2:refine424419629nres_a), (((ord_le519537037nres_a top_to231829469nres_a) A2)->(((eq refine424419629nres_a) A2) top_to231829469nres_a)))
% 0.72/0.92  FOF formula (forall (A2:refine787176636t_unit), (((ord_le1051254044t_unit top_to177290092t_unit) A2)->(((eq refine787176636t_unit) A2) top_to177290092t_unit))) of role axiom named fact_231_top_Oextremum__uniqueI
% 0.72/0.92  A new axiom: (forall (A2:refine787176636t_unit), (((ord_le1051254044t_unit top_to177290092t_unit) A2)->(((eq refine787176636t_unit) A2) top_to177290092t_unit)))
% 0.72/0.92  FOF formula (forall (M:refine424419629nres_a) (F:(a->refine424419629nres_a)) (S:refine424419629nres_a), (((eq Prop) ((ord_le519537037nres_a ((refine436832838nd_a_a M) F)) S)) ((and ((refine412683989fail_a S)->(refine412683989fail_a M))) (forall (X3:a), (((and (refine412683989fail_a M)) ((refine1001002027nres_a M) X3))->((ord_le519537037nres_a (F X3)) S)))))) of role axiom named fact_232_pw__bind__le__iff
% 0.72/0.92  A new axiom: (forall (M:refine424419629nres_a) (F:(a->refine424419629nres_a)) (S:refine424419629nres_a), (((eq Prop) ((ord_le519537037nres_a ((refine436832838nd_a_a M) F)) S)) ((and ((refine412683989fail_a S)->(refine412683989fail_a M))) (forall (X3:a), (((and (refine412683989fail_a M)) ((refine1001002027nres_a M) X3))->((ord_le519537037nres_a (F X3)) S))))))
% 0.72/0.92  FOF formula (forall (M:refine424419629nres_a) (F:(a->refine787176636t_unit)) (S:refine787176636t_unit), (((eq Prop) ((ord_le1051254044t_unit ((refine96995669t_unit M) F)) S)) ((and ((refine579265252t_unit S)->(refine412683989fail_a M))) (forall (X3:a), (((and (refine412683989fail_a M)) ((refine1001002027nres_a M) X3))->((ord_le1051254044t_unit (F X3)) S)))))) of role axiom named fact_233_pw__bind__le__iff
% 0.72/0.92  A new axiom: (forall (M:refine424419629nres_a) (F:(a->refine787176636t_unit)) (S:refine787176636t_unit), (((eq Prop) ((ord_le1051254044t_unit ((refine96995669t_unit M) F)) S)) ((and ((refine579265252t_unit S)->(refine412683989fail_a M))) (forall (X3:a), (((and (refine412683989fail_a M)) ((refine1001002027nres_a M) X3))->((ord_le1051254044t_unit (F X3)) S))))))
% 0.72/0.92  FOF formula (forall (M:refine787176636t_unit) (F:(product_unit->refine424419629nres_a)) (S:refine424419629nres_a), (((eq Prop) ((ord_le519537037nres_a ((refine119808503unit_a M) F)) S)) ((and ((refine412683989fail_a S)->(refine579265252t_unit M))) (forall (X3:product_unit), (((and (refine579265252t_unit M)) ((refine558004794t_unit M) X3))->((ord_le519537037nres_a (F X3)) S)))))) of role axiom named fact_234_pw__bind__le__iff
% 0.72/0.92  A new axiom: (forall (M:refine787176636t_unit) (F:(product_unit->refine424419629nres_a)) (S:refine424419629nres_a), (((eq Prop) ((ord_le519537037nres_a ((refine119808503unit_a M) F)) S)) ((and ((refine412683989fail_a S)->(refine579265252t_unit M))) (forall (X3:product_unit), (((and (refine579265252t_unit M)) ((refine558004794t_unit M) X3))->((ord_le519537037nres_a (F X3)) S))))))
% 0.72/0.92  FOF formula (forall (M:refine787176636t_unit) (F:(product_unit->refine787176636t_unit)) (S:refine787176636t_unit), (((eq Prop) ((ord_le1051254044t_unit ((refine681446406t_unit M) F)) S)) ((and ((refine579265252t_unit S)->(refine579265252t_unit M))) (forall (X3:product_unit), (((and (refine579265252t_unit M)) ((refine558004794t_unit M) X3))->((ord_le1051254044t_unit (F X3)) S)))))) of role axiom named fact_235_pw__bind__le__iff
% 0.72/0.92  A new axiom: (forall (M:refine787176636t_unit) (F:(product_unit->refine787176636t_unit)) (S:refine787176636t_unit), (((eq Prop) ((ord_le1051254044t_unit ((refine681446406t_unit M) F)) S)) ((and ((refine579265252t_unit S)->(refine579265252t_unit M))) (forall (X3:product_unit), (((and (refine579265252t_unit M)) ((refine558004794t_unit M) X3))->((ord_le1051254044t_unit (F X3)) S))))))
% 0.72/0.93  FOF formula (forall (R:set_Product_prod_a_a) (S:refine424419629nres_a), (((eq Prop) (refine412683989fail_a ((refine1441824853un_a_a R) S))) (refine412683989fail_a S))) of role axiom named fact_236_pw__conc__nofail
% 0.72/0.93  A new axiom: (forall (R:set_Product_prod_a_a) (S:refine424419629nres_a), (((eq Prop) (refine412683989fail_a ((refine1441824853un_a_a R) S))) (refine412683989fail_a S)))
% 0.72/0.93  FOF formula (forall (R:set_Pr1720557880unit_a) (S:refine424419629nres_a), (((eq Prop) (refine579265252t_unit ((refine2043866374unit_a R) S))) (refine412683989fail_a S))) of role axiom named fact_237_pw__conc__nofail
% 0.72/0.93  A new axiom: (forall (R:set_Pr1720557880unit_a) (S:refine424419629nres_a), (((eq Prop) (refine579265252t_unit ((refine2043866374unit_a R) S))) (refine412683989fail_a S)))
% 0.72/0.93  FOF formula (forall (R:set_Pr1628433942t_unit) (S:refine787176636t_unit), (((eq Prop) (refine412683989fail_a ((refine2021053540t_unit R) S))) (refine579265252t_unit S))) of role axiom named fact_238_pw__conc__nofail
% 0.72/0.93  A new axiom: (forall (R:set_Pr1628433942t_unit) (S:refine787176636t_unit), (((eq Prop) (refine412683989fail_a ((refine2021053540t_unit R) S))) (refine579265252t_unit S)))
% 0.72/0.93  FOF formula (forall (R:set_Pr451126599t_unit) (S:refine787176636t_unit), (((eq Prop) (refine579265252t_unit ((refine944483349t_unit R) S))) (refine579265252t_unit S))) of role axiom named fact_239_pw__conc__nofail
% 0.72/0.93  A new axiom: (forall (R:set_Pr451126599t_unit) (S:refine787176636t_unit), (((eq Prop) (refine579265252t_unit ((refine944483349t_unit R) S))) (refine579265252t_unit S)))
% 0.72/0.93  FOF formula (forall (S:refine424419629nres_a) (X:a), (((refine412683989fail_a S)->False)->((refine1001002027nres_a S) X))) of role axiom named fact_240_not__nofail__inres
% 0.72/0.93  A new axiom: (forall (S:refine424419629nres_a) (X:a), (((refine412683989fail_a S)->False)->((refine1001002027nres_a S) X)))
% 0.72/0.93  FOF formula (forall (S:refine787176636t_unit) (X:product_unit), (((refine579265252t_unit S)->False)->((refine558004794t_unit S) X))) of role axiom named fact_241_not__nofail__inres
% 0.72/0.93  A new axiom: (forall (S:refine787176636t_unit) (X:product_unit), (((refine579265252t_unit S)->False)->((refine558004794t_unit S) X)))
% 0.72/0.93  FOF formula (forall (A2:refine424419629nres_a), (((ord_le519537037nres_a A2) bot_bo529555393nres_a)->(((eq refine424419629nres_a) A2) bot_bo529555393nres_a))) of role axiom named fact_242_bot_Oextremum__uniqueI
% 0.72/0.93  A new axiom: (forall (A2:refine424419629nres_a), (((ord_le519537037nres_a A2) bot_bo529555393nres_a)->(((eq refine424419629nres_a) A2) bot_bo529555393nres_a)))
% 0.72/0.93  FOF formula (forall (A2:refine787176636t_unit), (((ord_le1051254044t_unit A2) bot_bo658782032t_unit)->(((eq refine787176636t_unit) A2) bot_bo658782032t_unit))) of role axiom named fact_243_bot_Oextremum__uniqueI
% 0.72/0.93  A new axiom: (forall (A2:refine787176636t_unit), (((ord_le1051254044t_unit A2) bot_bo658782032t_unit)->(((eq refine787176636t_unit) A2) bot_bo658782032t_unit)))
% 0.72/0.93  FOF formula (forall (A2:refine424419629nres_a), (((eq Prop) ((ord_le519537037nres_a A2) bot_bo529555393nres_a)) (((eq refine424419629nres_a) A2) bot_bo529555393nres_a))) of role axiom named fact_244_bot_Oextremum__unique
% 0.72/0.93  A new axiom: (forall (A2:refine424419629nres_a), (((eq Prop) ((ord_le519537037nres_a A2) bot_bo529555393nres_a)) (((eq refine424419629nres_a) A2) bot_bo529555393nres_a)))
% 0.72/0.93  FOF formula (forall (A2:refine787176636t_unit), (((eq Prop) ((ord_le1051254044t_unit A2) bot_bo658782032t_unit)) (((eq refine787176636t_unit) A2) bot_bo658782032t_unit))) of role axiom named fact_245_bot_Oextremum__unique
% 0.72/0.93  A new axiom: (forall (A2:refine787176636t_unit), (((eq Prop) ((ord_le1051254044t_unit A2) bot_bo658782032t_unit)) (((eq refine787176636t_unit) A2) bot_bo658782032t_unit)))
% 0.72/0.93  FOF formula (forall (A2:refine424419629nres_a), ((ord_le519537037nres_a bot_bo529555393nres_a) A2)) of role axiom named fact_246_bot_Oextremum
% 0.72/0.93  A new axiom: (forall (A2:refine424419629nres_a), ((ord_le519537037nres_a bot_bo529555393nres_a) A2))
% 0.72/0.93  FOF formula (forall (A2:refine787176636t_unit), ((ord_le1051254044t_unit bot_bo658782032t_unit) A2)) of role axiom named fact_247_bot_Oextremum
% 0.77/0.94  A new axiom: (forall (A2:refine787176636t_unit), ((ord_le1051254044t_unit bot_bo658782032t_unit) A2))
% 0.77/0.94  FOF formula (forall (M:refine424419629nres_a) (F:(a->refine424419629nres_a)), (((eq Prop) (refine412683989fail_a ((refine436832838nd_a_a M) F))) ((and (refine412683989fail_a M)) (forall (X3:a), (((refine1001002027nres_a M) X3)->(refine412683989fail_a (F X3))))))) of role axiom named fact_248_pw__bind__nofail
% 0.77/0.94  A new axiom: (forall (M:refine424419629nres_a) (F:(a->refine424419629nres_a)), (((eq Prop) (refine412683989fail_a ((refine436832838nd_a_a M) F))) ((and (refine412683989fail_a M)) (forall (X3:a), (((refine1001002027nres_a M) X3)->(refine412683989fail_a (F X3)))))))
% 0.77/0.94  FOF formula (forall (M:refine424419629nres_a) (F:(a->refine787176636t_unit)), (((eq Prop) (refine579265252t_unit ((refine96995669t_unit M) F))) ((and (refine412683989fail_a M)) (forall (X3:a), (((refine1001002027nres_a M) X3)->(refine579265252t_unit (F X3))))))) of role axiom named fact_249_pw__bind__nofail
% 0.77/0.94  A new axiom: (forall (M:refine424419629nres_a) (F:(a->refine787176636t_unit)), (((eq Prop) (refine579265252t_unit ((refine96995669t_unit M) F))) ((and (refine412683989fail_a M)) (forall (X3:a), (((refine1001002027nres_a M) X3)->(refine579265252t_unit (F X3)))))))
% 0.77/0.94  FOF formula (forall (M:refine787176636t_unit) (F:(product_unit->refine424419629nres_a)), (((eq Prop) (refine412683989fail_a ((refine119808503unit_a M) F))) ((and (refine579265252t_unit M)) (forall (X3:product_unit), (((refine558004794t_unit M) X3)->(refine412683989fail_a (F X3))))))) of role axiom named fact_250_pw__bind__nofail
% 0.77/0.94  A new axiom: (forall (M:refine787176636t_unit) (F:(product_unit->refine424419629nres_a)), (((eq Prop) (refine412683989fail_a ((refine119808503unit_a M) F))) ((and (refine579265252t_unit M)) (forall (X3:product_unit), (((refine558004794t_unit M) X3)->(refine412683989fail_a (F X3)))))))
% 0.77/0.94  FOF formula (forall (M:refine787176636t_unit) (F:(product_unit->refine787176636t_unit)), (((eq Prop) (refine579265252t_unit ((refine681446406t_unit M) F))) ((and (refine579265252t_unit M)) (forall (X3:product_unit), (((refine558004794t_unit M) X3)->(refine579265252t_unit (F X3))))))) of role axiom named fact_251_pw__bind__nofail
% 0.77/0.94  A new axiom: (forall (M:refine787176636t_unit) (F:(product_unit->refine787176636t_unit)), (((eq Prop) (refine579265252t_unit ((refine681446406t_unit M) F))) ((and (refine579265252t_unit M)) (forall (X3:product_unit), (((refine558004794t_unit M) X3)->(refine579265252t_unit (F X3)))))))
% 0.77/0.94  FOF formula (forall (M3:refine787176636t_unit) (M4:refine787176636t_unit) (F:(product_unit->refine424419629nres_a)) (F2:(product_unit->refine424419629nres_a)), ((((eq refine787176636t_unit) M3) M4)->((forall (X2:product_unit), (((ord_le1051254044t_unit (refine1420258419t_unit X2)) M4)->(((eq refine424419629nres_a) (F X2)) (F2 X2))))->(((eq refine424419629nres_a) ((refine119808503unit_a M3) F)) ((refine119808503unit_a M4) F2))))) of role axiom named fact_252_bind__cong
% 0.77/0.94  A new axiom: (forall (M3:refine787176636t_unit) (M4:refine787176636t_unit) (F:(product_unit->refine424419629nres_a)) (F2:(product_unit->refine424419629nres_a)), ((((eq refine787176636t_unit) M3) M4)->((forall (X2:product_unit), (((ord_le1051254044t_unit (refine1420258419t_unit X2)) M4)->(((eq refine424419629nres_a) (F X2)) (F2 X2))))->(((eq refine424419629nres_a) ((refine119808503unit_a M3) F)) ((refine119808503unit_a M4) F2)))))
% 0.77/0.94  FOF formula (forall (M3:refine787176636t_unit) (M4:refine787176636t_unit) (F:(product_unit->refine787176636t_unit)) (F2:(product_unit->refine787176636t_unit)), ((((eq refine787176636t_unit) M3) M4)->((forall (X2:product_unit), (((ord_le1051254044t_unit (refine1420258419t_unit X2)) M4)->(((eq refine787176636t_unit) (F X2)) (F2 X2))))->(((eq refine787176636t_unit) ((refine681446406t_unit M3) F)) ((refine681446406t_unit M4) F2))))) of role axiom named fact_253_bind__cong
% 0.77/0.94  A new axiom: (forall (M3:refine787176636t_unit) (M4:refine787176636t_unit) (F:(product_unit->refine787176636t_unit)) (F2:(product_unit->refine787176636t_unit)), ((((eq refine787176636t_unit) M3) M4)->((forall (X2:product_unit), (((ord_le1051254044t_unit (refine1420258419t_unit X2)) M4)->(((eq refine787176636t_unit) (F X2)) (F2 X2))))->(((eq refine787176636t_unit) ((refine681446406t_unit M3) F)) ((refine681446406t_unit M4) F2)))))
% 0.77/0.94  FOF formula (forall (M3:refine424419629nres_a) (M4:refine424419629nres_a) (F:(a->refine424419629nres_a)) (F2:(a->refine424419629nres_a)), ((((eq refine424419629nres_a) M3) M4)->((forall (X2:a), (((ord_le519537037nres_a (refine2063221604TURN_a X2)) M4)->(((eq refine424419629nres_a) (F X2)) (F2 X2))))->(((eq refine424419629nres_a) ((refine436832838nd_a_a M3) F)) ((refine436832838nd_a_a M4) F2))))) of role axiom named fact_254_bind__cong
% 0.77/0.94  A new axiom: (forall (M3:refine424419629nres_a) (M4:refine424419629nres_a) (F:(a->refine424419629nres_a)) (F2:(a->refine424419629nres_a)), ((((eq refine424419629nres_a) M3) M4)->((forall (X2:a), (((ord_le519537037nres_a (refine2063221604TURN_a X2)) M4)->(((eq refine424419629nres_a) (F X2)) (F2 X2))))->(((eq refine424419629nres_a) ((refine436832838nd_a_a M3) F)) ((refine436832838nd_a_a M4) F2)))))
% 0.77/0.94  FOF formula (forall (M3:refine424419629nres_a) (M4:refine424419629nres_a) (F:(a->refine787176636t_unit)) (F2:(a->refine787176636t_unit)), ((((eq refine424419629nres_a) M3) M4)->((forall (X2:a), (((ord_le519537037nres_a (refine2063221604TURN_a X2)) M4)->(((eq refine787176636t_unit) (F X2)) (F2 X2))))->(((eq refine787176636t_unit) ((refine96995669t_unit M3) F)) ((refine96995669t_unit M4) F2))))) of role axiom named fact_255_bind__cong
% 0.77/0.94  A new axiom: (forall (M3:refine424419629nres_a) (M4:refine424419629nres_a) (F:(a->refine787176636t_unit)) (F2:(a->refine787176636t_unit)), ((((eq refine424419629nres_a) M3) M4)->((forall (X2:a), (((ord_le519537037nres_a (refine2063221604TURN_a X2)) M4)->(((eq refine787176636t_unit) (F X2)) (F2 X2))))->(((eq refine787176636t_unit) ((refine96995669t_unit M3) F)) ((refine96995669t_unit M4) F2)))))
% 0.77/0.94  FOF formula (forall (M:refine787176636t_unit) (M2:refine787176636t_unit) (F:(product_unit->refine424419629nres_a)) (F2:(product_unit->refine424419629nres_a)), (((ord_le1051254044t_unit M) M2)->((forall (X2:product_unit), (((ord_le1051254044t_unit (refine1420258419t_unit X2)) M)->((ord_le519537037nres_a (F X2)) (F2 X2))))->((ord_le519537037nres_a ((refine119808503unit_a M) F)) ((refine119808503unit_a M2) F2))))) of role axiom named fact_256_Refine__Basic__Mirabelle__kwjuvthmas_Obind__mono_I1_J
% 0.77/0.94  A new axiom: (forall (M:refine787176636t_unit) (M2:refine787176636t_unit) (F:(product_unit->refine424419629nres_a)) (F2:(product_unit->refine424419629nres_a)), (((ord_le1051254044t_unit M) M2)->((forall (X2:product_unit), (((ord_le1051254044t_unit (refine1420258419t_unit X2)) M)->((ord_le519537037nres_a (F X2)) (F2 X2))))->((ord_le519537037nres_a ((refine119808503unit_a M) F)) ((refine119808503unit_a M2) F2)))))
% 0.77/0.94  FOF formula (forall (M:refine787176636t_unit) (M2:refine787176636t_unit) (F:(product_unit->refine787176636t_unit)) (F2:(product_unit->refine787176636t_unit)), (((ord_le1051254044t_unit M) M2)->((forall (X2:product_unit), (((ord_le1051254044t_unit (refine1420258419t_unit X2)) M)->((ord_le1051254044t_unit (F X2)) (F2 X2))))->((ord_le1051254044t_unit ((refine681446406t_unit M) F)) ((refine681446406t_unit M2) F2))))) of role axiom named fact_257_Refine__Basic__Mirabelle__kwjuvthmas_Obind__mono_I1_J
% 0.77/0.94  A new axiom: (forall (M:refine787176636t_unit) (M2:refine787176636t_unit) (F:(product_unit->refine787176636t_unit)) (F2:(product_unit->refine787176636t_unit)), (((ord_le1051254044t_unit M) M2)->((forall (X2:product_unit), (((ord_le1051254044t_unit (refine1420258419t_unit X2)) M)->((ord_le1051254044t_unit (F X2)) (F2 X2))))->((ord_le1051254044t_unit ((refine681446406t_unit M) F)) ((refine681446406t_unit M2) F2)))))
% 0.77/0.94  FOF formula (forall (M:refine424419629nres_a) (M2:refine424419629nres_a) (F:(a->refine424419629nres_a)) (F2:(a->refine424419629nres_a)), (((ord_le519537037nres_a M) M2)->((forall (X2:a), (((ord_le519537037nres_a (refine2063221604TURN_a X2)) M)->((ord_le519537037nres_a (F X2)) (F2 X2))))->((ord_le519537037nres_a ((refine436832838nd_a_a M) F)) ((refine436832838nd_a_a M2) F2))))) of role axiom named fact_258_Refine__Basic__Mirabelle__kwjuvthmas_Obind__mono_I1_J
% 0.80/0.95  A new axiom: (forall (M:refine424419629nres_a) (M2:refine424419629nres_a) (F:(a->refine424419629nres_a)) (F2:(a->refine424419629nres_a)), (((ord_le519537037nres_a M) M2)->((forall (X2:a), (((ord_le519537037nres_a (refine2063221604TURN_a X2)) M)->((ord_le519537037nres_a (F X2)) (F2 X2))))->((ord_le519537037nres_a ((refine436832838nd_a_a M) F)) ((refine436832838nd_a_a M2) F2)))))
% 0.80/0.95  FOF formula (forall (M:refine424419629nres_a) (M2:refine424419629nres_a) (F:(a->refine787176636t_unit)) (F2:(a->refine787176636t_unit)), (((ord_le519537037nres_a M) M2)->((forall (X2:a), (((ord_le519537037nres_a (refine2063221604TURN_a X2)) M)->((ord_le1051254044t_unit (F X2)) (F2 X2))))->((ord_le1051254044t_unit ((refine96995669t_unit M) F)) ((refine96995669t_unit M2) F2))))) of role axiom named fact_259_Refine__Basic__Mirabelle__kwjuvthmas_Obind__mono_I1_J
% 0.80/0.95  A new axiom: (forall (M:refine424419629nres_a) (M2:refine424419629nres_a) (F:(a->refine787176636t_unit)) (F2:(a->refine787176636t_unit)), (((ord_le519537037nres_a M) M2)->((forall (X2:a), (((ord_le519537037nres_a (refine2063221604TURN_a X2)) M)->((ord_le1051254044t_unit (F X2)) (F2 X2))))->((ord_le1051254044t_unit ((refine96995669t_unit M) F)) ((refine96995669t_unit M2) F2)))))
% 0.80/0.95  FOF formula (not (((eq refine787176636t_unit) top_to177290092t_unit) bot_bo658782032t_unit)) of role axiom named fact_260_nres__inequalities_I2_J
% 0.80/0.95  A new axiom: (not (((eq refine787176636t_unit) top_to177290092t_unit) bot_bo658782032t_unit))
% 0.80/0.95  FOF formula (not (((eq refine424419629nres_a) top_to231829469nres_a) bot_bo529555393nres_a)) of role axiom named fact_261_nres__inequalities_I2_J
% 0.80/0.95  A new axiom: (not (((eq refine424419629nres_a) top_to231829469nres_a) bot_bo529555393nres_a))
% 0.80/0.95  FOF formula (not (((eq refine787176636t_unit) bot_bo658782032t_unit) top_to177290092t_unit)) of role axiom named fact_262_nres__inequalities_I4_J
% 0.80/0.95  A new axiom: (not (((eq refine787176636t_unit) bot_bo658782032t_unit) top_to177290092t_unit))
% 0.80/0.95  FOF formula (not (((eq refine424419629nres_a) bot_bo529555393nres_a) top_to231829469nres_a)) of role axiom named fact_263_nres__inequalities_I4_J
% 0.80/0.95  A new axiom: (not (((eq refine424419629nres_a) bot_bo529555393nres_a) top_to231829469nres_a))
% 0.80/0.95  FOF formula (forall (X:refine424419629nres_a), ((ord_le519537037nres_a X) X)) of role axiom named fact_264_order__mono__setup_Orefl
% 0.80/0.95  A new axiom: (forall (X:refine424419629nres_a), ((ord_le519537037nres_a X) X))
% 0.80/0.95  FOF formula (forall (X:refine787176636t_unit), ((ord_le1051254044t_unit X) X)) of role axiom named fact_265_order__mono__setup_Orefl
% 0.80/0.95  A new axiom: (forall (X:refine787176636t_unit), ((ord_le1051254044t_unit X) X))
% 0.80/0.95  FOF formula (((eq (refine424419629nres_a->(a->Prop))) refine1312857699nres_a) (fun (M5:refine424419629nres_a) (X3:a)=> ((and (refine412683989fail_a M5)) ((refine1001002027nres_a M5) X3)))) of role axiom named fact_266_nf__inres__def
% 0.80/0.95  A new axiom: (((eq (refine424419629nres_a->(a->Prop))) refine1312857699nres_a) (fun (M5:refine424419629nres_a) (X3:a)=> ((and (refine412683989fail_a M5)) ((refine1001002027nres_a M5) X3))))
% 0.80/0.95  FOF formula (((eq (refine787176636t_unit->(product_unit->Prop))) refine983493746t_unit) (fun (M5:refine787176636t_unit) (X3:product_unit)=> ((and (refine579265252t_unit M5)) ((refine558004794t_unit M5) X3)))) of role axiom named fact_267_nf__inres__def
% 0.80/0.95  A new axiom: (((eq (refine787176636t_unit->(product_unit->Prop))) refine983493746t_unit) (fun (M5:refine787176636t_unit) (X3:product_unit)=> ((and (refine579265252t_unit M5)) ((refine558004794t_unit M5) X3))))
% 0.80/0.95  FOF formula (forall (M3:refine424419629nres_a) (X:refine424419629nres_a), ((((eq refine424419629nres_a) M3) top_to231829469nres_a)->((ord_le519537037nres_a X) M3))) of role axiom named fact_268_meta__le__everything__if__top
% 0.80/0.95  A new axiom: (forall (M3:refine424419629nres_a) (X:refine424419629nres_a), ((((eq refine424419629nres_a) M3) top_to231829469nres_a)->((ord_le519537037nres_a X) M3)))
% 0.80/0.95  FOF formula (forall (M3:refine787176636t_unit) (X:refine787176636t_unit), ((((eq refine787176636t_unit) M3) top_to177290092t_unit)->((ord_le1051254044t_unit X) M3))) of role axiom named fact_269_meta__le__everything__if__top
% 0.80/0.96  A new axiom: (forall (M3:refine787176636t_unit) (X:refine787176636t_unit), ((((eq refine787176636t_unit) M3) top_to177290092t_unit)->((ord_le1051254044t_unit X) M3)))
% 0.80/0.96  FOF formula (forall (S:refine424419629nres_a) (S2:refine424419629nres_a), (((eq Prop) (((partia906949161nres_a bot_bo529555393nres_a) S) S2)) (((ex a) (fun (X4:a)=> ((refine1001002027nres_a S) X4)))->((and (((eq Prop) (refine412683989fail_a S)) (refine412683989fail_a S2))) (forall (X3:a), (((eq Prop) ((refine1001002027nres_a S) X3)) ((refine1001002027nres_a S2) X3))))))) of role axiom named fact_270_pw__flat__le__iff
% 0.80/0.96  A new axiom: (forall (S:refine424419629nres_a) (S2:refine424419629nres_a), (((eq Prop) (((partia906949161nres_a bot_bo529555393nres_a) S) S2)) (((ex a) (fun (X4:a)=> ((refine1001002027nres_a S) X4)))->((and (((eq Prop) (refine412683989fail_a S)) (refine412683989fail_a S2))) (forall (X3:a), (((eq Prop) ((refine1001002027nres_a S) X3)) ((refine1001002027nres_a S2) X3)))))))
% 0.80/0.96  FOF formula (forall (S:refine787176636t_unit) (S2:refine787176636t_unit), (((eq Prop) (((partia1658438072t_unit bot_bo658782032t_unit) S) S2)) (((ex product_unit) (fun (X4:product_unit)=> ((refine558004794t_unit S) X4)))->((and (((eq Prop) (refine579265252t_unit S)) (refine579265252t_unit S2))) (forall (X3:product_unit), (((eq Prop) ((refine558004794t_unit S) X3)) ((refine558004794t_unit S2) X3))))))) of role axiom named fact_271_pw__flat__le__iff
% 0.80/0.96  A new axiom: (forall (S:refine787176636t_unit) (S2:refine787176636t_unit), (((eq Prop) (((partia1658438072t_unit bot_bo658782032t_unit) S) S2)) (((ex product_unit) (fun (X4:product_unit)=> ((refine558004794t_unit S) X4)))->((and (((eq Prop) (refine579265252t_unit S)) (refine579265252t_unit S2))) (forall (X3:product_unit), (((eq Prop) ((refine558004794t_unit S) X3)) ((refine558004794t_unit S2) X3)))))))
% 0.80/0.96  FOF formula (forall (R:set_Product_prod_a_a) (M:refine424419629nres_a) (A2:a), (((eq Prop) ((refine1001002027nres_a ((refine1136779702un_a_a R) M)) A2)) ((refine412683989fail_a ((refine1136779702un_a_a R) M))->((ex a) (fun (C3:a)=> ((and ((refine1001002027nres_a M) C3)) ((member449909584od_a_a ((product_Pair_a_a C3) A2)) R))))))) of role axiom named fact_272_pw__abs__inres
% 0.80/0.96  A new axiom: (forall (R:set_Product_prod_a_a) (M:refine424419629nres_a) (A2:a), (((eq Prop) ((refine1001002027nres_a ((refine1136779702un_a_a R) M)) A2)) ((refine412683989fail_a ((refine1136779702un_a_a R) M))->((ex a) (fun (C3:a)=> ((and ((refine1001002027nres_a M) C3)) ((member449909584od_a_a ((product_Pair_a_a C3) A2)) R)))))))
% 0.80/0.96  FOF formula (forall (R:set_Pr1628433942t_unit) (M:refine424419629nres_a) (A2:product_unit), (((eq Prop) ((refine558004794t_unit ((refine341651653t_unit R) M)) A2)) ((refine579265252t_unit ((refine341651653t_unit R) M))->((ex a) (fun (C3:a)=> ((and ((refine1001002027nres_a M) C3)) ((member2095661023t_unit ((produc1776699686t_unit C3) A2)) R))))))) of role axiom named fact_273_pw__abs__inres
% 0.80/0.96  A new axiom: (forall (R:set_Pr1628433942t_unit) (M:refine424419629nres_a) (A2:product_unit), (((eq Prop) ((refine558004794t_unit ((refine341651653t_unit R) M)) A2)) ((refine579265252t_unit ((refine341651653t_unit R) M))->((ex a) (fun (C3:a)=> ((and ((refine1001002027nres_a M) C3)) ((member2095661023t_unit ((produc1776699686t_unit C3) A2)) R)))))))
% 0.80/0.96  FOF formula (forall (R:set_Pr1720557880unit_a) (M:refine787176636t_unit) (A2:a), (((eq Prop) ((refine1001002027nres_a ((refine364464487unit_a R) M)) A2)) ((refine412683989fail_a ((refine364464487unit_a R) M))->((ex product_unit) (fun (C3:product_unit)=> ((and ((refine558004794t_unit M) C3)) ((member1211819009unit_a ((produc1799512520unit_a C3) A2)) R))))))) of role axiom named fact_274_pw__abs__inres
% 0.80/0.96  A new axiom: (forall (R:set_Pr1720557880unit_a) (M:refine787176636t_unit) (A2:a), (((eq Prop) ((refine1001002027nres_a ((refine364464487unit_a R) M)) A2)) ((refine412683989fail_a ((refine364464487unit_a R) M))->((ex product_unit) (fun (C3:product_unit)=> ((and ((refine558004794t_unit M) C3)) ((member1211819009unit_a ((produc1799512520unit_a C3) A2)) R)))))))
% 0.80/0.97  FOF formula (forall (R:set_Pr451126599t_unit) (M:refine787176636t_unit) (A2:product_unit), (((eq Prop) ((refine558004794t_unit ((refine838861686t_unit R) M)) A2)) ((refine579265252t_unit ((refine838861686t_unit R) M))->((ex product_unit) (fun (C3:product_unit)=> ((and ((refine558004794t_unit M) C3)) ((member1423014800t_unit ((produc1076565719t_unit C3) A2)) R))))))) of role axiom named fact_275_pw__abs__inres
% 0.80/0.97  A new axiom: (forall (R:set_Pr451126599t_unit) (M:refine787176636t_unit) (A2:product_unit), (((eq Prop) ((refine558004794t_unit ((refine838861686t_unit R) M)) A2)) ((refine579265252t_unit ((refine838861686t_unit R) M))->((ex product_unit) (fun (C3:product_unit)=> ((and ((refine558004794t_unit M) C3)) ((member1423014800t_unit ((produc1076565719t_unit C3) A2)) R)))))))
% 0.80/0.97  FOF formula (forall (R:set_Product_prod_a_a) (M:refine424419629nres_a), (((eq Prop) (refine412683989fail_a ((refine1136779702un_a_a R) M))) ((and (refine412683989fail_a M)) (forall (X3:a), (((refine1001002027nres_a M) X3)->((member_a X3) (domain_a_a R))))))) of role axiom named fact_276_pw__abs__nofail
% 0.80/0.97  A new axiom: (forall (R:set_Product_prod_a_a) (M:refine424419629nres_a), (((eq Prop) (refine412683989fail_a ((refine1136779702un_a_a R) M))) ((and (refine412683989fail_a M)) (forall (X3:a), (((refine1001002027nres_a M) X3)->((member_a X3) (domain_a_a R)))))))
% 0.80/0.97  FOF formula (forall (R:set_Pr1628433942t_unit) (M:refine424419629nres_a), (((eq Prop) (refine579265252t_unit ((refine341651653t_unit R) M))) ((and (refine412683989fail_a M)) (forall (X3:a), (((refine1001002027nres_a M) X3)->((member_a X3) (domain799550107t_unit R))))))) of role axiom named fact_277_pw__abs__nofail
% 0.80/0.97  A new axiom: (forall (R:set_Pr1628433942t_unit) (M:refine424419629nres_a), (((eq Prop) (refine579265252t_unit ((refine341651653t_unit R) M))) ((and (refine412683989fail_a M)) (forall (X3:a), (((refine1001002027nres_a M) X3)->((member_a X3) (domain799550107t_unit R)))))))
% 0.80/0.97  FOF formula (forall (R:set_Pr1720557880unit_a) (M:refine787176636t_unit), (((eq Prop) (refine412683989fail_a ((refine364464487unit_a R) M))) ((and (refine579265252t_unit M)) (forall (X3:product_unit), (((refine558004794t_unit M) X3)->((member_Product_unit X3) (domain822362941unit_a R))))))) of role axiom named fact_278_pw__abs__nofail
% 0.80/0.97  A new axiom: (forall (R:set_Pr1720557880unit_a) (M:refine787176636t_unit), (((eq Prop) (refine412683989fail_a ((refine364464487unit_a R) M))) ((and (refine579265252t_unit M)) (forall (X3:product_unit), (((refine558004794t_unit M) X3)->((member_Product_unit X3) (domain822362941unit_a R)))))))
% 0.80/0.97  FOF formula (forall (R:set_Pr451126599t_unit) (M:refine787176636t_unit), (((eq Prop) (refine579265252t_unit ((refine838861686t_unit R) M))) ((and (refine579265252t_unit M)) (forall (X3:product_unit), (((refine558004794t_unit M) X3)->((member_Product_unit X3) (domain2090798924t_unit R))))))) of role axiom named fact_279_pw__abs__nofail
% 0.80/0.97  A new axiom: (forall (R:set_Pr451126599t_unit) (M:refine787176636t_unit), (((eq Prop) (refine579265252t_unit ((refine838861686t_unit R) M))) ((and (refine579265252t_unit M)) (forall (X3:product_unit), (((refine558004794t_unit M) X3)->((member_Product_unit X3) (domain2090798924t_unit R)))))))
% 0.80/0.97  FOF formula (forall (R:set_Product_prod_a_a) (M4:refine424419629nres_a) (M3:refine424419629nres_a), ((single_valued_a_a R)->(((eq Prop) ((ord_le519537037nres_a M4) ((refine1441824853un_a_a R) M3))) ((ord_le519537037nres_a ((refine1136779702un_a_a R) M4)) M3)))) of role axiom named fact_280_conc__abs__swap
% 0.80/0.97  A new axiom: (forall (R:set_Product_prod_a_a) (M4:refine424419629nres_a) (M3:refine424419629nres_a), ((single_valued_a_a R)->(((eq Prop) ((ord_le519537037nres_a M4) ((refine1441824853un_a_a R) M3))) ((ord_le519537037nres_a ((refine1136779702un_a_a R) M4)) M3))))
% 0.80/0.97  FOF formula (forall (R:set_Pr1720557880unit_a) (M4:refine787176636t_unit) (M3:refine424419629nres_a), ((single249782708unit_a R)->(((eq Prop) ((ord_le1051254044t_unit M4) ((refine2043866374unit_a R) M3))) ((ord_le519537037nres_a ((refine364464487unit_a R) M4)) M3)))) of role axiom named fact_281_conc__abs__swap
% 0.80/0.98  A new axiom: (forall (R:set_Pr1720557880unit_a) (M4:refine787176636t_unit) (M3:refine424419629nres_a), ((single249782708unit_a R)->(((eq Prop) ((ord_le1051254044t_unit M4) ((refine2043866374unit_a R) M3))) ((ord_le519537037nres_a ((refine364464487unit_a R) M4)) M3))))
% 0.80/0.98  FOF formula (forall (R:set_Pr1628433942t_unit) (M4:refine424419629nres_a) (M3:refine787176636t_unit), ((single226969874t_unit R)->(((eq Prop) ((ord_le519537037nres_a M4) ((refine2021053540t_unit R) M3))) ((ord_le1051254044t_unit ((refine341651653t_unit R) M4)) M3)))) of role axiom named fact_282_conc__abs__swap
% 0.80/0.98  A new axiom: (forall (R:set_Pr1628433942t_unit) (M4:refine424419629nres_a) (M3:refine787176636t_unit), ((single226969874t_unit R)->(((eq Prop) ((ord_le519537037nres_a M4) ((refine2021053540t_unit R) M3))) ((ord_le1051254044t_unit ((refine341651653t_unit R) M4)) M3))))
% 0.80/0.98  FOF formula (forall (R:set_Pr451126599t_unit) (M4:refine787176636t_unit) (M3:refine787176636t_unit), ((single330234563t_unit R)->(((eq Prop) ((ord_le1051254044t_unit M4) ((refine944483349t_unit R) M3))) ((ord_le1051254044t_unit ((refine838861686t_unit R) M4)) M3)))) of role axiom named fact_283_conc__abs__swap
% 0.80/0.98  A new axiom: (forall (R:set_Pr451126599t_unit) (M4:refine787176636t_unit) (M3:refine787176636t_unit), ((single330234563t_unit R)->(((eq Prop) ((ord_le1051254044t_unit M4) ((refine944483349t_unit R) M3))) ((ord_le1051254044t_unit ((refine838861686t_unit R) M4)) M3))))
% 0.80/0.98  FOF formula (forall (S:refine424419629nres_a) (S2:refine424419629nres_a), (((eq Prop) (((partia906949161nres_a top_to231829469nres_a) S) S2)) ((refine412683989fail_a S)->((and (refine412683989fail_a S2)) (forall (X3:a), (((eq Prop) ((refine1001002027nres_a S) X3)) ((refine1001002027nres_a S2) X3))))))) of role axiom named fact_284_pw__flat__ge__iff
% 0.80/0.98  A new axiom: (forall (S:refine424419629nres_a) (S2:refine424419629nres_a), (((eq Prop) (((partia906949161nres_a top_to231829469nres_a) S) S2)) ((refine412683989fail_a S)->((and (refine412683989fail_a S2)) (forall (X3:a), (((eq Prop) ((refine1001002027nres_a S) X3)) ((refine1001002027nres_a S2) X3)))))))
% 0.80/0.98  FOF formula (forall (S:refine787176636t_unit) (S2:refine787176636t_unit), (((eq Prop) (((partia1658438072t_unit top_to177290092t_unit) S) S2)) ((refine579265252t_unit S)->((and (refine579265252t_unit S2)) (forall (X3:product_unit), (((eq Prop) ((refine558004794t_unit S) X3)) ((refine558004794t_unit S2) X3))))))) of role axiom named fact_285_pw__flat__ge__iff
% 0.80/0.98  A new axiom: (forall (S:refine787176636t_unit) (S2:refine787176636t_unit), (((eq Prop) (((partia1658438072t_unit top_to177290092t_unit) S) S2)) ((refine579265252t_unit S)->((and (refine579265252t_unit S2)) (forall (X3:product_unit), (((eq Prop) ((refine558004794t_unit S) X3)) ((refine558004794t_unit S2) X3)))))))
% 0.80/0.98  FOF formula (forall (P:(refine424419629nres_a->Prop)) (X:refine424419629nres_a) (Q:(refine424419629nres_a->Prop)), ((P X)->((forall (Y3:refine424419629nres_a), ((P Y3)->((ord_le519537037nres_a Y3) X)))->((forall (X2:refine424419629nres_a), ((P X2)->((forall (Y5:refine424419629nres_a), ((P Y5)->((ord_le519537037nres_a Y5) X2)))->(Q X2))))->(Q (order_1714329108nres_a P)))))) of role axiom named fact_286_GreatestI2__order
% 0.80/0.98  A new axiom: (forall (P:(refine424419629nres_a->Prop)) (X:refine424419629nres_a) (Q:(refine424419629nres_a->Prop)), ((P X)->((forall (Y3:refine424419629nres_a), ((P Y3)->((ord_le519537037nres_a Y3) X)))->((forall (X2:refine424419629nres_a), ((P X2)->((forall (Y5:refine424419629nres_a), ((P Y5)->((ord_le519537037nres_a Y5) X2)))->(Q X2))))->(Q (order_1714329108nres_a P))))))
% 0.80/0.98  FOF formula (forall (P:(refine787176636t_unit->Prop)) (X:refine787176636t_unit) (Q:(refine787176636t_unit->Prop)), ((P X)->((forall (Y3:refine787176636t_unit), ((P Y3)->((ord_le1051254044t_unit Y3) X)))->((forall (X2:refine787176636t_unit), ((P X2)->((forall (Y5:refine787176636t_unit), ((P Y5)->((ord_le1051254044t_unit Y5) X2)))->(Q X2))))->(Q (order_453013155t_unit P)))))) of role axiom named fact_287_GreatestI2__order
% 0.80/0.98  A new axiom: (forall (P:(refine787176636t_unit->Prop)) (X:refine787176636t_unit) (Q:(refine787176636t_unit->Prop)), ((P X)->((forall (Y3:refine787176636t_unit), ((P Y3)->((ord_le1051254044t_unit Y3) X)))->((forall (X2:refine787176636t_unit), ((P X2)->((forall (Y5:refine787176636t_unit), ((P Y5)->((ord_le1051254044t_unit Y5) X2)))->(Q X2))))->(Q (order_453013155t_unit P))))))
% 0.80/0.98  FOF formula (forall (P:(refine424419629nres_a->Prop)) (X:refine424419629nres_a), ((P X)->((forall (Y3:refine424419629nres_a), ((P Y3)->((ord_le519537037nres_a Y3) X)))->(((eq refine424419629nres_a) (order_1714329108nres_a P)) X)))) of role axiom named fact_288_Greatest__equality
% 0.80/0.98  A new axiom: (forall (P:(refine424419629nres_a->Prop)) (X:refine424419629nres_a), ((P X)->((forall (Y3:refine424419629nres_a), ((P Y3)->((ord_le519537037nres_a Y3) X)))->(((eq refine424419629nres_a) (order_1714329108nres_a P)) X))))
% 0.80/0.98  FOF formula (forall (P:(refine787176636t_unit->Prop)) (X:refine787176636t_unit), ((P X)->((forall (Y3:refine787176636t_unit), ((P Y3)->((ord_le1051254044t_unit Y3) X)))->(((eq refine787176636t_unit) (order_453013155t_unit P)) X)))) of role axiom named fact_289_Greatest__equality
% 0.80/0.98  A new axiom: (forall (P:(refine787176636t_unit->Prop)) (X:refine787176636t_unit), ((P X)->((forall (Y3:refine787176636t_unit), ((P Y3)->((ord_le1051254044t_unit Y3) X)))->(((eq refine787176636t_unit) (order_453013155t_unit P)) X))))
% 0.80/0.98  <<<29nres_a] :
% 0.80/0.98        ( ( B2
% 0.80/0.98         => ( ord_le519537037nres_a @ M1 @ M12 ) )
% 0.80/0.98       => ( ( ~ B2>>>!!!<<<
% 0.80/0.98           => ( ord_le519537037nres_a @ M22 @ M23 ) )
% 0.80/0.98         => ( ord_le519537037nres_a @ (>>>
% 0.80/0.98  statestack=[0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 22, 30, 36, 43, 50, 99, 113, 185, 229, 265, 285, 300, 221, 120, 187, 221, 99, 124]
% 0.80/0.98  symstack=[$end, TPTP_file_pre, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, 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TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,105771), LexToken(LPAR,'(',1,105774), name, LexToken(COMMA,',',1,105806), formula_role, LexToken(COMMA,',',1,105812), LexToken(LPAR,'(',1,105813), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,105821), thf_variable_list, LexToken(RBRACKET,']',1,105935), LexToken(COLON,':',1,105937), LexToken(LPAR,'(',1,105945), thf_unitary_formula, thf_pair_connective, LexToken(LPAR,'(',1,106009), LexToken(LPAR,'(',1,106011), unary_connective]
% 0.80/0.98  Unexpected exception Syntax error at 'B2':UPPERWORD
% 0.80/0.98  Traceback (most recent call last):
% 0.80/0.98    File "CASC.py", line 79, in <module>
% 0.80/0.98      problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.80/0.98    File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.80/0.98      parser.parse(file.read(),debug=0,lexer=lexer)
% 0.80/0.98    File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.80/0.98      return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.80/0.98    File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.80/0.98      tok = self.errorfunc(errtoken)
% 0.80/0.98    File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.80/0.98      raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.80/0.98  TPTPparser.TPTPParsingError: Syntax error at 'B2':UPPERWORD
%------------------------------------------------------------------------------