%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : ITP097^1 : TPTP v7.5.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% DateTime : Sun Mar 21 13:24:10 EDT 2021

% Result   : Unknown 0.70s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ITP097^1 : TPTP v7.5.0. Released v7.5.0.
% 0.03/0.13  % Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.32  % Computer : n001.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit : 300
% 0.14/0.32  % DateTime : Fri Mar 19 06:17:31 EDT 2021
% 0.14/0.32  % CPUTime  : 
% 0.14/0.33  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.14/0.34  Python 2.7.5
% 0.43/0.60  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x1837830>, <kernel.Type object at 0x1837908>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring set_real:Type
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x1831c68>, <kernel.Type object at 0x1837128>) of role type named ty_n_t__Real__Oreal
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring real:Type
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x18375a8>, <kernel.Type object at 0x18372d8>) of role type named ty_n_t__Num__Onum
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring num:Type
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x1837908>, <kernel.Type object at 0x18376c8>) of role type named ty_n_t__Nat__Onat
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring nat:Type
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x1837128>, <kernel.Type object at 0x18371b8>) of role type named ty_n_t__Int__Oint
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring int:Type
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x1837518>, <kernel.DependentProduct object at 0x2ae9e9dbe710>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring archim1371465213g_real:(real->int)
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x1837488>, <kernel.Constant object at 0x1837908>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring one_one_int:int
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x1837440>, <kernel.Constant object at 0x1837908>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring one_one_nat:nat
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x1837518>, <kernel.Constant object at 0x1837488>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring one_one_real:real
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x1837440>, <kernel.Constant object at 0x2ae9e9dbe710>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring zero_zero_int:int
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x1837488>, <kernel.Constant object at 0x2ae9e9dbe7e8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring zero_zero_nat:nat
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x1837440>, <kernel.Constant object at 0x2ae9e9dbe878>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring zero_zero_real:real
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x1837908>, <kernel.DependentProduct object at 0x2ae9e9dbe878>) of role type named sy_c_If_001t__Nat__Onat
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x1837908>, <kernel.DependentProduct object at 0x2ae9e22f0f38>) of role type named sy_c_Int_Onat
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring nat2:(int->nat)
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e9dbee18>, <kernel.DependentProduct object at 0x2ae9e22f0f80>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring ring_1_of_int_int:(int->int)
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e9dbe560>, <kernel.DependentProduct object at 0x2ae9e22f0ef0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring ring_1_of_int_real:(int->real)
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e9dbe170>, <kernel.DependentProduct object at 0x2ae9e22f0e60>) of role type named sy_c_Nat_OSuc
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring suc:(nat->nat)
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e9dbee18>, <kernel.DependentProduct object at 0x2ae9e22f0ea8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring semiri2019852685at_int:(nat->int)
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e9dbe170>, <kernel.DependentProduct object at 0x2ae9e22f0dd0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring semiri1382578993at_nat:(nat->nat)
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e9dbe560>, <kernel.DependentProduct object at 0x2ae9e22f0e18>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring semiri2110766477t_real:(nat->real)
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e9dbe170>, <kernel.DependentProduct object at 0x2ae9e22f0d40>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring neg_numeral_dbl_int:(int->int)
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e9dbe170>, <kernel.DependentProduct object at 0x2ae9e22f0d88>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring neg_numeral_dbl_real:(real->real)
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e22f0e18>, <kernel.DependentProduct object at 0x2ae9e22f0cb0>) of role type named sy_c_Num_Onum_OBit0
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring bit0:(num->num)
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e22f0d40>, <kernel.Constant object at 0x2ae9e22f0cb0>) of role type named sy_c_Num_Onum_OOne
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring one:num
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e22f0f38>, <kernel.DependentProduct object at 0x2ae9e22f0b90>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring numeral_numeral_int:(num->int)
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e22f0e60>, <kernel.DependentProduct object at 0x2ae9e22f0bd8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring numeral_numeral_nat:(num->nat)
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e22f0cb0>, <kernel.DependentProduct object at 0x2ae9e22f0b00>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring numeral_numeral_real:(num->real)
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e22f0b90>, <kernel.DependentProduct object at 0x2ae9e22f0f38>) of role type named sy_c_Num_Opow
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring pow:(num->(num->num))
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e22f0bd8>, <kernel.DependentProduct object at 0x2ae9e22f0b48>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring ord_less_int:(int->(int->Prop))
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e22f0b00>, <kernel.DependentProduct object at 0x2ae9e22f0e18>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring ord_less_eq_int:(int->(int->Prop))
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e22f0f38>, <kernel.DependentProduct object at 0x2ae9e22f0cb0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e22f0b48>, <kernel.DependentProduct object at 0x2ae9e22f0b90>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring ord_less_eq_num:(num->(num->Prop))
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e22f0e18>, <kernel.DependentProduct object at 0x2ae9e22f0bd8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring ord_less_eq_real:(real->(real->Prop))
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e22f0cb0>, <kernel.DependentProduct object at 0x2ae9e22f0b00>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring power_power_int:(int->(nat->int))
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e22f0b90>, <kernel.DependentProduct object at 0x2ae9e22f0a70>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring power_power_nat:(nat->(nat->nat))
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e22f0bd8>, <kernel.DependentProduct object at 0x2ae9e22f08c0>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring power_power_real:(real->(nat->real))
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e22f0fc8>, <kernel.DependentProduct object at 0x2ae9e22f0cb0>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.43/0.60  Using role type
% 0.43/0.60  Declaring collect_real:((real->Prop)->set_real)
% 0.43/0.60  FOF formula (<kernel.Constant object at 0x2ae9e22f0f38>, <kernel.DependentProduct object at 0x2ae9e22f0b48>) of role type named sy_c_Transcendental_Olog
% 0.43/0.61  Using role type
% 0.43/0.61  Declaring log:(real->(real->real))
% 0.43/0.61  FOF formula (<kernel.Constant object at 0x2ae9e22f08c0>, <kernel.DependentProduct object at 0x2ae9e22f0bd8>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.43/0.61  Using role type
% 0.43/0.61  Declaring powr_real:(real->(real->real))
% 0.43/0.61  FOF formula (<kernel.Constant object at 0x2ae9e22f0b00>, <kernel.DependentProduct object at 0x2ae9e22f08c0>) of role type named sy_c_member_001t__Real__Oreal
% 0.43/0.61  Using role type
% 0.43/0.61  Declaring member_real:(real->(set_real->Prop))
% 0.43/0.61  FOF formula (<kernel.Constant object at 0x2ae9e22f0e18>, <kernel.Constant object at 0x2ae9e22f0b00>) of role type named sy_v_d____
% 0.43/0.61  Using role type
% 0.43/0.61  Declaring d:int
% 0.43/0.61  FOF formula (<kernel.Constant object at 0x2ae9e22f08c0>, <kernel.Constant object at 0x2ae9e22f0b00>) of role type named sy_v_n____
% 0.43/0.61  Using role type
% 0.43/0.61  Declaring n:nat
% 0.43/0.61  FOF formula (forall (X:num) (N:nat) (A:int), (((eq Prop) ((ord_less_eq_int ((power_power_int (numeral_numeral_int X)) N)) (ring_1_of_int_int A))) ((ord_less_eq_int ((power_power_int (numeral_numeral_int X)) N)) A))) of role axiom named fact_0_numeral__power__le__of__int__cancel__iff
% 0.43/0.61  A new axiom: (forall (X:num) (N:nat) (A:int), (((eq Prop) ((ord_less_eq_int ((power_power_int (numeral_numeral_int X)) N)) (ring_1_of_int_int A))) ((ord_less_eq_int ((power_power_int (numeral_numeral_int X)) N)) A)))
% 0.43/0.61  FOF formula (forall (X:num) (N:nat) (A:int), (((eq Prop) ((ord_less_eq_real ((power_power_real (numeral_numeral_real X)) N)) (ring_1_of_int_real A))) ((ord_less_eq_int ((power_power_int (numeral_numeral_int X)) N)) A))) of role axiom named fact_1_numeral__power__le__of__int__cancel__iff
% 0.43/0.61  A new axiom: (forall (X:num) (N:nat) (A:int), (((eq Prop) ((ord_less_eq_real ((power_power_real (numeral_numeral_real X)) N)) (ring_1_of_int_real A))) ((ord_less_eq_int ((power_power_int (numeral_numeral_int X)) N)) A)))
% 0.43/0.61  FOF formula (forall (A:int) (X:num) (N:nat), (((eq Prop) ((ord_less_eq_int (ring_1_of_int_int A)) ((power_power_int (numeral_numeral_int X)) N))) ((ord_less_eq_int A) ((power_power_int (numeral_numeral_int X)) N)))) of role axiom named fact_2_of__int__le__numeral__power__cancel__iff
% 0.43/0.62  A new axiom: (forall (A:int) (X:num) (N:nat), (((eq Prop) ((ord_less_eq_int (ring_1_of_int_int A)) ((power_power_int (numeral_numeral_int X)) N))) ((ord_less_eq_int A) ((power_power_int (numeral_numeral_int X)) N))))
% 0.43/0.62  FOF formula (forall (A:int) (X:num) (N:nat), (((eq Prop) ((ord_less_eq_real (ring_1_of_int_real A)) ((power_power_real (numeral_numeral_real X)) N))) ((ord_less_eq_int A) ((power_power_int (numeral_numeral_int X)) N)))) of role axiom named fact_3_of__int__le__numeral__power__cancel__iff
% 0.43/0.62  A new axiom: (forall (A:int) (X:num) (N:nat), (((eq Prop) ((ord_less_eq_real (ring_1_of_int_real A)) ((power_power_real (numeral_numeral_real X)) N))) ((ord_less_eq_int A) ((power_power_int (numeral_numeral_int X)) N))))
% 0.43/0.62  FOF formula (forall (X:num) (N:nat), (((eq int) (archim1371465213g_real ((power_power_real (numeral_numeral_real X)) N))) ((power_power_int (numeral_numeral_int X)) N))) of role axiom named fact_4_ceiling__numeral__power
% 0.43/0.62  A new axiom: (forall (X:num) (N:nat), (((eq int) (archim1371465213g_real ((power_power_real (numeral_numeral_real X)) N))) ((power_power_int (numeral_numeral_int X)) N)))
% 0.43/0.62  FOF formula (forall (X:num) (N:nat) (Y:int), (((eq Prop) (((eq int) ((power_power_int (numeral_numeral_int X)) N)) (ring_1_of_int_int Y))) (((eq int) ((power_power_int (numeral_numeral_int X)) N)) Y))) of role axiom named fact_5_numeral__power__eq__of__int__cancel__iff
% 0.43/0.62  A new axiom: (forall (X:num) (N:nat) (Y:int), (((eq Prop) (((eq int) ((power_power_int (numeral_numeral_int X)) N)) (ring_1_of_int_int Y))) (((eq int) ((power_power_int (numeral_numeral_int X)) N)) Y)))
% 0.43/0.62  FOF formula (forall (X:num) (N:nat) (Y:int), (((eq Prop) (((eq real) ((power_power_real (numeral_numeral_real X)) N)) (ring_1_of_int_real Y))) (((eq int) ((power_power_int (numeral_numeral_int X)) N)) Y))) of role axiom named fact_6_numeral__power__eq__of__int__cancel__iff
% 0.43/0.62  A new axiom: (forall (X:num) (N:nat) (Y:int), (((eq Prop) (((eq real) ((power_power_real (numeral_numeral_real X)) N)) (ring_1_of_int_real Y))) (((eq int) ((power_power_int (numeral_numeral_int X)) N)) Y)))
% 0.43/0.63  FOF formula (forall (Y:int) (X:num) (N:nat), (((eq Prop) (((eq int) (ring_1_of_int_int Y)) ((power_power_int (numeral_numeral_int X)) N))) (((eq int) Y) ((power_power_int (numeral_numeral_int X)) N)))) of role axiom named fact_7_of__int__eq__numeral__power__cancel__iff
% 0.43/0.63  A new axiom: (forall (Y:int) (X:num) (N:nat), (((eq Prop) (((eq int) (ring_1_of_int_int Y)) ((power_power_int (numeral_numeral_int X)) N))) (((eq int) Y) ((power_power_int (numeral_numeral_int X)) N))))
% 0.43/0.63  FOF formula (forall (Y:int) (X:num) (N:nat), (((eq Prop) (((eq real) (ring_1_of_int_real Y)) ((power_power_real (numeral_numeral_real X)) N))) (((eq int) Y) ((power_power_int (numeral_numeral_int X)) N)))) of role axiom named fact_8_of__int__eq__numeral__power__cancel__iff
% 0.43/0.63  A new axiom: (forall (Y:int) (X:num) (N:nat), (((eq Prop) (((eq real) (ring_1_of_int_real Y)) ((power_power_real (numeral_numeral_real X)) N))) (((eq int) Y) ((power_power_int (numeral_numeral_int X)) N))))
% 0.43/0.63  FOF formula (forall (B:int) (W:nat) (X:int), (((eq Prop) ((ord_less_eq_int ((power_power_int (ring_1_of_int_int B)) W)) (ring_1_of_int_int X))) ((ord_less_eq_int ((power_power_int B) W)) X))) of role axiom named fact_9_of__int__le__of__int__power__cancel__iff
% 0.43/0.63  A new axiom: (forall (B:int) (W:nat) (X:int), (((eq Prop) ((ord_less_eq_int ((power_power_int (ring_1_of_int_int B)) W)) (ring_1_of_int_int X))) ((ord_less_eq_int ((power_power_int B) W)) X)))
% 0.43/0.63  FOF formula (forall (B:int) (W:nat) (X:int), (((eq Prop) ((ord_less_eq_real ((power_power_real (ring_1_of_int_real B)) W)) (ring_1_of_int_real X))) ((ord_less_eq_int ((power_power_int B) W)) X))) of role axiom named fact_10_of__int__le__of__int__power__cancel__iff
% 0.43/0.63  A new axiom: (forall (B:int) (W:nat) (X:int), (((eq Prop) ((ord_less_eq_real ((power_power_real (ring_1_of_int_real B)) W)) (ring_1_of_int_real X))) ((ord_less_eq_int ((power_power_int B) W)) X)))
% 0.43/0.63  FOF formula (forall (X:int) (B:int) (W:nat), (((eq Prop) ((ord_less_eq_int (ring_1_of_int_int X)) ((power_power_int (ring_1_of_int_int B)) W))) ((ord_less_eq_int X) ((power_power_int B) W)))) of role axiom named fact_11_of__int__power__le__of__int__cancel__iff
% 0.43/0.63  A new axiom: (forall (X:int) (B:int) (W:nat), (((eq Prop) ((ord_less_eq_int (ring_1_of_int_int X)) ((power_power_int (ring_1_of_int_int B)) W))) ((ord_less_eq_int X) ((power_power_int B) W))))
% 0.43/0.63  FOF formula (forall (X:int) (B:int) (W:nat), (((eq Prop) ((ord_less_eq_real (ring_1_of_int_real X)) ((power_power_real (ring_1_of_int_real B)) W))) ((ord_less_eq_int X) ((power_power_int B) W)))) of role axiom named fact_12_of__int__power__le__of__int__cancel__iff
% 0.43/0.63  A new axiom: (forall (X:int) (B:int) (W:nat), (((eq Prop) ((ord_less_eq_real (ring_1_of_int_real X)) ((power_power_real (ring_1_of_int_real B)) W))) ((ord_less_eq_int X) ((power_power_int B) W))))
% 0.43/0.63  FOF formula (forall (X:real) (V:num), (((eq Prop) ((ord_less_eq_int (archim1371465213g_real X)) (numeral_numeral_int V))) ((ord_less_eq_real X) (numeral_numeral_real V)))) of role axiom named fact_13_ceiling__le__numeral
% 0.43/0.63  A new axiom: (forall (X:real) (V:num), (((eq Prop) ((ord_less_eq_int (archim1371465213g_real X)) (numeral_numeral_int V))) ((ord_less_eq_real X) (numeral_numeral_real V))))
% 0.43/0.63  FOF formula (forall (Z:int) (N:num), (((eq Prop) ((ord_less_eq_int (ring_1_of_int_int Z)) (numeral_numeral_int N))) ((ord_less_eq_int Z) (numeral_numeral_int N)))) of role axiom named fact_14_of__int__le__numeral__iff
% 0.43/0.63  A new axiom: (forall (Z:int) (N:num), (((eq Prop) ((ord_less_eq_int (ring_1_of_int_int Z)) (numeral_numeral_int N))) ((ord_less_eq_int Z) (numeral_numeral_int N))))
% 0.43/0.63  FOF formula (forall (Z:int) (N:num), (((eq Prop) ((ord_less_eq_real (ring_1_of_int_real Z)) (numeral_numeral_real N))) ((ord_less_eq_int Z) (numeral_numeral_int N)))) of role axiom named fact_15_of__int__le__numeral__iff
% 0.43/0.63  A new axiom: (forall (Z:int) (N:num), (((eq Prop) ((ord_less_eq_real (ring_1_of_int_real Z)) (numeral_numeral_real N))) ((ord_less_eq_int Z) (numeral_numeral_int N))))
% 0.43/0.63  FOF formula (forall (N:num) (Z:int), (((eq Prop) ((ord_less_eq_int (numeral_numeral_int N)) (ring_1_of_int_int Z))) ((ord_less_eq_int (numeral_numeral_int N)) Z))) of role axiom named fact_16_of__int__numeral__le__iff
% 0.49/0.64  A new axiom: (forall (N:num) (Z:int), (((eq Prop) ((ord_less_eq_int (numeral_numeral_int N)) (ring_1_of_int_int Z))) ((ord_less_eq_int (numeral_numeral_int N)) Z)))
% 0.49/0.64  FOF formula (forall (N:num) (Z:int), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real N)) (ring_1_of_int_real Z))) ((ord_less_eq_int (numeral_numeral_int N)) Z))) of role axiom named fact_17_of__int__numeral__le__iff
% 0.49/0.64  A new axiom: (forall (N:num) (Z:int), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real N)) (ring_1_of_int_real Z))) ((ord_less_eq_int (numeral_numeral_int N)) Z)))
% 0.49/0.64  FOF formula (forall (Z:int) (N:nat), (((eq int) (ring_1_of_int_int ((power_power_int Z) N))) ((power_power_int (ring_1_of_int_int Z)) N))) of role axiom named fact_18_of__int__power
% 0.49/0.64  A new axiom: (forall (Z:int) (N:nat), (((eq int) (ring_1_of_int_int ((power_power_int Z) N))) ((power_power_int (ring_1_of_int_int Z)) N)))
% 0.49/0.64  FOF formula (forall (Z:int) (N:nat), (((eq real) (ring_1_of_int_real ((power_power_int Z) N))) ((power_power_real (ring_1_of_int_real Z)) N))) of role axiom named fact_19_of__int__power
% 0.49/0.64  A new axiom: (forall (Z:int) (N:nat), (((eq real) (ring_1_of_int_real ((power_power_int Z) N))) ((power_power_real (ring_1_of_int_real Z)) N)))
% 0.49/0.64  FOF formula (forall (B:int) (W:nat) (X:int), (((eq Prop) (((eq int) ((power_power_int (ring_1_of_int_int B)) W)) (ring_1_of_int_int X))) (((eq int) ((power_power_int B) W)) X))) of role axiom named fact_20_of__int__eq__of__int__power__cancel__iff
% 0.49/0.64  A new axiom: (forall (B:int) (W:nat) (X:int), (((eq Prop) (((eq int) ((power_power_int (ring_1_of_int_int B)) W)) (ring_1_of_int_int X))) (((eq int) ((power_power_int B) W)) X)))
% 0.49/0.64  FOF formula (forall (B:int) (W:nat) (X:int), (((eq Prop) (((eq real) ((power_power_real (ring_1_of_int_real B)) W)) (ring_1_of_int_real X))) (((eq int) ((power_power_int B) W)) X))) of role axiom named fact_21_of__int__eq__of__int__power__cancel__iff
% 0.49/0.64  A new axiom: (forall (B:int) (W:nat) (X:int), (((eq Prop) (((eq real) ((power_power_real (ring_1_of_int_real B)) W)) (ring_1_of_int_real X))) (((eq int) ((power_power_int B) W)) X)))
% 0.49/0.64  FOF formula (forall (W:int) (Z:int), (((eq Prop) (((eq real) (ring_1_of_int_real W)) (ring_1_of_int_real Z))) (((eq int) W) Z))) of role axiom named fact_22_of__int__eq__iff
% 0.49/0.64  A new axiom: (forall (W:int) (Z:int), (((eq Prop) (((eq real) (ring_1_of_int_real W)) (ring_1_of_int_real Z))) (((eq int) W) Z)))
% 0.49/0.64  FOF formula (forall (W:int) (Z:int), (((eq Prop) (((eq int) (ring_1_of_int_int W)) (ring_1_of_int_int Z))) (((eq int) W) Z))) of role axiom named fact_23_of__int__eq__iff
% 0.49/0.64  A new axiom: (forall (W:int) (Z:int), (((eq Prop) (((eq int) (ring_1_of_int_int W)) (ring_1_of_int_int Z))) (((eq int) W) Z)))
% 0.49/0.64  FOF formula (forall (K:num), (((eq nat) (nat2 (numeral_numeral_int K))) (numeral_numeral_nat K))) of role axiom named fact_24_nat__numeral
% 0.49/0.64  A new axiom: (forall (K:num), (((eq nat) (nat2 (numeral_numeral_int K))) (numeral_numeral_nat K)))
% 0.49/0.64  FOF formula (forall (Z:int), (((eq int) (archim1371465213g_real (ring_1_of_int_real Z))) Z)) of role axiom named fact_25_ceiling__of__int
% 0.49/0.64  A new axiom: (forall (Z:int), (((eq int) (archim1371465213g_real (ring_1_of_int_real Z))) Z))
% 0.49/0.64  FOF formula (forall (X:real), (((eq Prop) (((eq real) (ring_1_of_int_real (archim1371465213g_real X))) X)) ((ex int) (fun (N2:int)=> (((eq real) X) (ring_1_of_int_real N2)))))) of role axiom named fact_26_of__int__ceiling__cancel
% 0.49/0.64  A new axiom: (forall (X:real), (((eq Prop) (((eq real) (ring_1_of_int_real (archim1371465213g_real X))) X)) ((ex int) (fun (N2:int)=> (((eq real) X) (ring_1_of_int_real N2))))))
% 0.49/0.64  FOF formula (forall (W:int) (Z:int), (((eq Prop) ((ord_less_eq_int (ring_1_of_int_int W)) (ring_1_of_int_int Z))) ((ord_less_eq_int W) Z))) of role axiom named fact_27_of__int__le__iff
% 0.49/0.64  A new axiom: (forall (W:int) (Z:int), (((eq Prop) ((ord_less_eq_int (ring_1_of_int_int W)) (ring_1_of_int_int Z))) ((ord_less_eq_int W) Z)))
% 0.49/0.64  FOF formula (forall (W:int) (Z:int), (((eq Prop) ((ord_less_eq_real (ring_1_of_int_real W)) (ring_1_of_int_real Z))) ((ord_less_eq_int W) Z))) of role axiom named fact_28_of__int__le__iff
% 0.51/0.65  A new axiom: (forall (W:int) (Z:int), (((eq Prop) ((ord_less_eq_real (ring_1_of_int_real W)) (ring_1_of_int_real Z))) ((ord_less_eq_int W) Z)))
% 0.51/0.65  FOF formula (forall (K:num), (((eq int) (ring_1_of_int_int (numeral_numeral_int K))) (numeral_numeral_int K))) of role axiom named fact_29_of__int__numeral
% 0.51/0.65  A new axiom: (forall (K:num), (((eq int) (ring_1_of_int_int (numeral_numeral_int K))) (numeral_numeral_int K)))
% 0.51/0.65  FOF formula (forall (K:num), (((eq real) (ring_1_of_int_real (numeral_numeral_int K))) (numeral_numeral_real K))) of role axiom named fact_30_of__int__numeral
% 0.51/0.65  A new axiom: (forall (K:num), (((eq real) (ring_1_of_int_real (numeral_numeral_int K))) (numeral_numeral_real K)))
% 0.51/0.65  FOF formula (forall (Z:int) (N:num), (((eq Prop) (((eq int) (ring_1_of_int_int Z)) (numeral_numeral_int N))) (((eq int) Z) (numeral_numeral_int N)))) of role axiom named fact_31_of__int__eq__numeral__iff
% 0.51/0.65  A new axiom: (forall (Z:int) (N:num), (((eq Prop) (((eq int) (ring_1_of_int_int Z)) (numeral_numeral_int N))) (((eq int) Z) (numeral_numeral_int N))))
% 0.51/0.65  FOF formula (forall (Z:int) (N:num), (((eq Prop) (((eq real) (ring_1_of_int_real Z)) (numeral_numeral_real N))) (((eq int) Z) (numeral_numeral_int N)))) of role axiom named fact_32_of__int__eq__numeral__iff
% 0.51/0.65  A new axiom: (forall (Z:int) (N:num), (((eq Prop) (((eq real) (ring_1_of_int_real Z)) (numeral_numeral_real N))) (((eq int) Z) (numeral_numeral_int N))))
% 0.51/0.65  FOF formula (forall (V:num), (((eq int) (archim1371465213g_real (numeral_numeral_real V))) (numeral_numeral_int V))) of role axiom named fact_33_ceiling__numeral
% 0.51/0.65  A new axiom: (forall (V:num), (((eq int) (archim1371465213g_real (numeral_numeral_real V))) (numeral_numeral_int V)))
% 0.51/0.65  FOF formula (forall (X:int) (B:int) (W:nat), (((eq Prop) (((eq int) (ring_1_of_int_int X)) ((power_power_int (ring_1_of_int_int B)) W))) (((eq int) X) ((power_power_int B) W)))) of role axiom named fact_34_of__int__power__eq__of__int__cancel__iff
% 0.51/0.65  A new axiom: (forall (X:int) (B:int) (W:nat), (((eq Prop) (((eq int) (ring_1_of_int_int X)) ((power_power_int (ring_1_of_int_int B)) W))) (((eq int) X) ((power_power_int B) W))))
% 0.51/0.65  FOF formula (forall (X:int) (B:int) (W:nat), (((eq Prop) (((eq real) (ring_1_of_int_real X)) ((power_power_real (ring_1_of_int_real B)) W))) (((eq int) X) ((power_power_int B) W)))) of role axiom named fact_35_of__int__power__eq__of__int__cancel__iff
% 0.51/0.65  A new axiom: (forall (X:int) (B:int) (W:nat), (((eq Prop) (((eq real) (ring_1_of_int_real X)) ((power_power_real (ring_1_of_int_real B)) W))) (((eq int) X) ((power_power_int B) W))))
% 0.51/0.65  FOF formula (forall (X:num) (N:nat) (Y:int), (((eq Prop) (((eq nat) ((power_power_nat (numeral_numeral_nat X)) N)) (nat2 Y))) (((eq int) ((power_power_int (numeral_numeral_int X)) N)) Y))) of role axiom named fact_36_numeral__power__eq__nat__cancel__iff
% 0.51/0.65  A new axiom: (forall (X:num) (N:nat) (Y:int), (((eq Prop) (((eq nat) ((power_power_nat (numeral_numeral_nat X)) N)) (nat2 Y))) (((eq int) ((power_power_int (numeral_numeral_int X)) N)) Y)))
% 0.51/0.65  FOF formula (forall (Y:int) (X:num) (N:nat), (((eq Prop) (((eq nat) (nat2 Y)) ((power_power_nat (numeral_numeral_nat X)) N))) (((eq int) Y) ((power_power_int (numeral_numeral_int X)) N)))) of role axiom named fact_37_nat__eq__numeral__power__cancel__iff
% 0.51/0.65  A new axiom: (forall (Y:int) (X:num) (N:nat), (((eq Prop) (((eq nat) (nat2 Y)) ((power_power_nat (numeral_numeral_nat X)) N))) (((eq int) Y) ((power_power_int (numeral_numeral_int X)) N))))
% 0.51/0.65  FOF formula (forall (X:num) (N:nat) (A:int), (((eq Prop) ((ord_less_eq_nat ((power_power_nat (numeral_numeral_nat X)) N)) (nat2 A))) ((ord_less_eq_int ((power_power_int (numeral_numeral_int X)) N)) A))) of role axiom named fact_38_numeral__power__le__nat__cancel__iff
% 0.51/0.65  A new axiom: (forall (X:num) (N:nat) (A:int), (((eq Prop) ((ord_less_eq_nat ((power_power_nat (numeral_numeral_nat X)) N)) (nat2 A))) ((ord_less_eq_int ((power_power_int (numeral_numeral_int X)) N)) A)))
% 0.51/0.65  FOF formula (forall (A:int) (X:num) (N:nat), (((eq Prop) ((ord_less_eq_nat (nat2 A)) ((power_power_nat (numeral_numeral_nat X)) N))) ((ord_less_eq_int A) ((power_power_int (numeral_numeral_int X)) N)))) of role axiom named fact_39_nat__le__numeral__power__cancel__iff
% 0.51/0.66  A new axiom: (forall (A:int) (X:num) (N:nat), (((eq Prop) ((ord_less_eq_nat (nat2 A)) ((power_power_nat (numeral_numeral_nat X)) N))) ((ord_less_eq_int A) ((power_power_int (numeral_numeral_int X)) N))))
% 0.51/0.66  FOF formula (forall (X:int) (Y:int), (((ord_less_eq_int X) Y)->((ord_less_eq_nat (nat2 X)) (nat2 Y)))) of role axiom named fact_40_nat__mono
% 0.51/0.66  A new axiom: (forall (X:int) (Y:int), (((ord_less_eq_int X) Y)->((ord_less_eq_nat (nat2 X)) (nat2 Y))))
% 0.51/0.66  FOF formula (forall (X:real), ((ex int) (fun (Z2:int)=> ((ord_less_eq_real X) (ring_1_of_int_real Z2))))) of role axiom named fact_41_ex__le__of__int
% 0.51/0.66  A new axiom: (forall (X:real), ((ex int) (fun (Z2:int)=> ((ord_less_eq_real X) (ring_1_of_int_real Z2)))))
% 0.51/0.66  FOF formula (forall (X:real), ((ord_less_eq_real X) (ring_1_of_int_real (archim1371465213g_real X)))) of role axiom named fact_42_le__of__int__ceiling
% 0.51/0.66  A new axiom: (forall (X:real), ((ord_less_eq_real X) (ring_1_of_int_real (archim1371465213g_real X))))
% 0.51/0.66  FOF formula (forall (Y:real) (X:real), (((ord_less_eq_real Y) X)->((ord_less_eq_int (archim1371465213g_real Y)) (archim1371465213g_real X)))) of role axiom named fact_43_ceiling__mono
% 0.51/0.66  A new axiom: (forall (Y:real) (X:real), (((ord_less_eq_real Y) X)->((ord_less_eq_int (archim1371465213g_real Y)) (archim1371465213g_real X))))
% 0.51/0.66  FOF formula (forall (X:real) (Z:int), (((eq Prop) ((ord_less_eq_int (archim1371465213g_real X)) Z)) ((ord_less_eq_real X) (ring_1_of_int_real Z)))) of role axiom named fact_44_ceiling__le__iff
% 0.51/0.66  A new axiom: (forall (X:real) (Z:int), (((eq Prop) ((ord_less_eq_int (archim1371465213g_real X)) Z)) ((ord_less_eq_real X) (ring_1_of_int_real Z))))
% 0.51/0.66  FOF formula (forall (X:real) (A:int), (((ord_less_eq_real X) (ring_1_of_int_real A))->((ord_less_eq_int (archim1371465213g_real X)) A))) of role axiom named fact_45_ceiling__le
% 0.51/0.66  A new axiom: (forall (X:real) (A:int), (((ord_less_eq_real X) (ring_1_of_int_real A))->((ord_less_eq_int (archim1371465213g_real X)) A)))
% 0.51/0.66  FOF formula ((ord_less_eq_real ((log (numeral_numeral_real (bit0 one))) one_one_real)) ((log (numeral_numeral_real (bit0 one))) (ring_1_of_int_real d))) of role axiom named fact_46__092_060open_062log_A2_A1_A_092_060le_062_Alog_A2_A_Ireal__of__int_Ad_J_092_060close_062
% 0.51/0.66  A new axiom: ((ord_less_eq_real ((log (numeral_numeral_real (bit0 one))) one_one_real)) ((log (numeral_numeral_real (bit0 one))) (ring_1_of_int_real d)))
% 0.51/0.66  FOF formula (forall (M:num), (((ord_less_eq_num (bit0 M)) one)->False)) of role axiom named fact_47_semiring__norm_I69_J
% 0.51/0.66  A new axiom: (forall (M:num), (((ord_less_eq_num (bit0 M)) one)->False))
% 0.51/0.66  FOF formula (forall (N:num), (not (((eq num) one) (bit0 N)))) of role axiom named fact_48_semiring__norm_I83_J
% 0.51/0.66  A new axiom: (forall (N:num), (not (((eq num) one) (bit0 N))))
% 0.51/0.66  FOF formula (forall (M:num), (not (((eq num) (bit0 M)) one))) of role axiom named fact_49_semiring__norm_I85_J
% 0.51/0.66  A new axiom: (forall (M:num), (not (((eq num) (bit0 M)) one)))
% 0.51/0.66  FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_int (numeral_numeral_int M)) (numeral_numeral_int N))) ((ord_less_eq_num M) N))) of role axiom named fact_50_numeral__le__iff
% 0.51/0.66  A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_int (numeral_numeral_int M)) (numeral_numeral_int N))) ((ord_less_eq_num M) N)))
% 0.51/0.66  FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) ((ord_less_eq_num M) N))) of role axiom named fact_51_numeral__le__iff
% 0.51/0.66  A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) ((ord_less_eq_num M) N)))
% 0.51/0.66  FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real M)) (numeral_numeral_real N))) ((ord_less_eq_num M) N))) of role axiom named fact_52_numeral__le__iff
% 0.51/0.66  A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real M)) (numeral_numeral_real N))) ((ord_less_eq_num M) N)))
% 0.51/0.67  FOF formula (((eq real) (ring_1_of_int_real d)) ((powr_real (numeral_numeral_real (bit0 one))) ((log (numeral_numeral_real (bit0 one))) (ring_1_of_int_real d)))) of role axiom named fact_53__092_060open_062real__of__int_Ad_A_061_A2_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_092_060close_062
% 0.51/0.67  A new axiom: (((eq real) (ring_1_of_int_real d)) ((powr_real (numeral_numeral_real (bit0 one))) ((log (numeral_numeral_real (bit0 one))) (ring_1_of_int_real d))))
% 0.51/0.67  FOF formula (((eq nat) n) (suc (nat2 (archim1371465213g_real ((log (numeral_numeral_real (bit0 one))) (ring_1_of_int_real d)))))) of role axiom named fact_54_n__def
% 0.51/0.67  A new axiom: (((eq nat) n) (suc (nat2 (archim1371465213g_real ((log (numeral_numeral_real (bit0 one))) (ring_1_of_int_real d))))))
% 0.51/0.67  FOF formula (forall (N:num), ((ord_less_eq_num one) N)) of role axiom named fact_55_semiring__norm_I68_J
% 0.51/0.67  A new axiom: (forall (N:num), ((ord_less_eq_num one) N))
% 0.51/0.67  FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_num (bit0 M)) (bit0 N))) ((ord_less_eq_num M) N))) of role axiom named fact_56_semiring__norm_I71_J
% 0.51/0.67  A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_eq_num (bit0 M)) (bit0 N))) ((ord_less_eq_num M) N)))
% 0.51/0.67  FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq num) (bit0 M)) (bit0 N))) (((eq num) M) N))) of role axiom named fact_57_semiring__norm_I87_J
% 0.51/0.67  A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq num) (bit0 M)) (bit0 N))) (((eq num) M) N)))
% 0.51/0.67  FOF formula (forall (X2:num) (Y2:num), (((eq Prop) (((eq num) (bit0 X2)) (bit0 Y2))) (((eq num) X2) Y2))) of role axiom named fact_58_verit__eq__simplify_I8_J
% 0.51/0.67  A new axiom: (forall (X2:num) (Y2:num), (((eq Prop) (((eq num) (bit0 X2)) (bit0 Y2))) (((eq num) X2) Y2)))
% 0.51/0.67  FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq int) (numeral_numeral_int M)) (numeral_numeral_int N))) (((eq num) M) N))) of role axiom named fact_59_numeral__eq__iff
% 0.51/0.67  A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq int) (numeral_numeral_int M)) (numeral_numeral_int N))) (((eq num) M) N)))
% 0.51/0.67  FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq real) (numeral_numeral_real M)) (numeral_numeral_real N))) (((eq num) M) N))) of role axiom named fact_60_numeral__eq__iff
% 0.51/0.67  A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq real) (numeral_numeral_real M)) (numeral_numeral_real N))) (((eq num) M) N)))
% 0.51/0.67  FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat M)) (numeral_numeral_nat N))) (((eq num) M) N))) of role axiom named fact_61_numeral__eq__iff
% 0.51/0.67  A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat M)) (numeral_numeral_nat N))) (((eq num) M) N)))
% 0.51/0.67  FOF formula (forall (Z:int), (((eq Prop) (((eq real) (ring_1_of_int_real Z)) one_one_real)) (((eq int) Z) one_one_int))) of role axiom named fact_62_of__int__eq__1__iff
% 0.51/0.67  A new axiom: (forall (Z:int), (((eq Prop) (((eq real) (ring_1_of_int_real Z)) one_one_real)) (((eq int) Z) one_one_int)))
% 0.51/0.67  FOF formula (forall (Z:int), (((eq Prop) (((eq int) (ring_1_of_int_int Z)) one_one_int)) (((eq int) Z) one_one_int))) of role axiom named fact_63_of__int__eq__1__iff
% 0.51/0.67  A new axiom: (forall (Z:int), (((eq Prop) (((eq int) (ring_1_of_int_int Z)) one_one_int)) (((eq int) Z) one_one_int)))
% 0.51/0.67  FOF formula (forall (A:real) (P:(real->Prop)), (((eq Prop) ((member_real A) (collect_real P))) (P A))) of role axiom named fact_64_mem__Collect__eq
% 0.51/0.67  A new axiom: (forall (A:real) (P:(real->Prop)), (((eq Prop) ((member_real A) (collect_real P))) (P A)))
% 0.51/0.67  FOF formula (forall (A2:set_real), (((eq set_real) (collect_real (fun (X3:real)=> ((member_real X3) A2)))) A2)) of role axiom named fact_65_Collect__mem__eq
% 0.51/0.67  A new axiom: (forall (A2:set_real), (((eq set_real) (collect_real (fun (X3:real)=> ((member_real X3) A2)))) A2))
% 0.51/0.67  FOF formula (((eq real) (ring_1_of_int_real one_one_int)) one_one_real) of role axiom named fact_66_of__int__1
% 0.51/0.67  A new axiom: (((eq real) (ring_1_of_int_real one_one_int)) one_one_real)
% 0.51/0.67  FOF formula (((eq int) (ring_1_of_int_int one_one_int)) one_one_int) of role axiom named fact_67_of__int__1
% 0.51/0.67  A new axiom: (((eq int) (ring_1_of_int_int one_one_int)) one_one_int)
% 0.51/0.69  FOF formula (((eq int) (archim1371465213g_real one_one_real)) one_one_int) of role axiom named fact_68_ceiling__one
% 0.51/0.69  A new axiom: (((eq int) (archim1371465213g_real one_one_real)) one_one_int)
% 0.51/0.69  FOF formula (forall (N:num), (((eq Prop) (((eq int) (numeral_numeral_int N)) one_one_int)) (((eq num) N) one))) of role axiom named fact_69_numeral__eq__one__iff
% 0.51/0.69  A new axiom: (forall (N:num), (((eq Prop) (((eq int) (numeral_numeral_int N)) one_one_int)) (((eq num) N) one)))
% 0.51/0.69  FOF formula (forall (N:num), (((eq Prop) (((eq real) (numeral_numeral_real N)) one_one_real)) (((eq num) N) one))) of role axiom named fact_70_numeral__eq__one__iff
% 0.51/0.69  A new axiom: (forall (N:num), (((eq Prop) (((eq real) (numeral_numeral_real N)) one_one_real)) (((eq num) N) one)))
% 0.51/0.69  FOF formula (forall (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat N)) one_one_nat)) (((eq num) N) one))) of role axiom named fact_71_numeral__eq__one__iff
% 0.51/0.69  A new axiom: (forall (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat N)) one_one_nat)) (((eq num) N) one)))
% 0.51/0.69  FOF formula (forall (N:num), (((eq Prop) (((eq int) one_one_int) (numeral_numeral_int N))) (((eq num) one) N))) of role axiom named fact_72_one__eq__numeral__iff
% 0.51/0.69  A new axiom: (forall (N:num), (((eq Prop) (((eq int) one_one_int) (numeral_numeral_int N))) (((eq num) one) N)))
% 0.51/0.69  FOF formula (forall (N:num), (((eq Prop) (((eq real) one_one_real) (numeral_numeral_real N))) (((eq num) one) N))) of role axiom named fact_73_one__eq__numeral__iff
% 0.51/0.69  A new axiom: (forall (N:num), (((eq Prop) (((eq real) one_one_real) (numeral_numeral_real N))) (((eq num) one) N)))
% 0.51/0.69  FOF formula (forall (N:num), (((eq Prop) (((eq nat) one_one_nat) (numeral_numeral_nat N))) (((eq num) one) N))) of role axiom named fact_74_one__eq__numeral__iff
% 0.51/0.69  A new axiom: (forall (N:num), (((eq Prop) (((eq nat) one_one_nat) (numeral_numeral_nat N))) (((eq num) one) N)))
% 0.51/0.69  FOF formula (forall (Z:int), (((eq Prop) ((ord_less_eq_int one_one_int) (ring_1_of_int_int Z))) ((ord_less_eq_int one_one_int) Z))) of role axiom named fact_75_of__int__1__le__iff
% 0.51/0.69  A new axiom: (forall (Z:int), (((eq Prop) ((ord_less_eq_int one_one_int) (ring_1_of_int_int Z))) ((ord_less_eq_int one_one_int) Z)))
% 0.51/0.69  FOF formula (forall (Z:int), (((eq Prop) ((ord_less_eq_real one_one_real) (ring_1_of_int_real Z))) ((ord_less_eq_int one_one_int) Z))) of role axiom named fact_76_of__int__1__le__iff
% 0.51/0.69  A new axiom: (forall (Z:int), (((eq Prop) ((ord_less_eq_real one_one_real) (ring_1_of_int_real Z))) ((ord_less_eq_int one_one_int) Z)))
% 0.51/0.69  FOF formula (forall (Z:int), (((eq Prop) ((ord_less_eq_int (ring_1_of_int_int Z)) one_one_int)) ((ord_less_eq_int Z) one_one_int))) of role axiom named fact_77_of__int__le__1__iff
% 0.51/0.69  A new axiom: (forall (Z:int), (((eq Prop) ((ord_less_eq_int (ring_1_of_int_int Z)) one_one_int)) ((ord_less_eq_int Z) one_one_int)))
% 0.51/0.69  FOF formula (forall (Z:int), (((eq Prop) ((ord_less_eq_real (ring_1_of_int_real Z)) one_one_real)) ((ord_less_eq_int Z) one_one_int))) of role axiom named fact_78_of__int__le__1__iff
% 0.51/0.69  A new axiom: (forall (Z:int), (((eq Prop) ((ord_less_eq_real (ring_1_of_int_real Z)) one_one_real)) ((ord_less_eq_int Z) one_one_int)))
% 0.51/0.69  FOF formula (forall (X:real), (((eq Prop) ((ord_less_eq_int (archim1371465213g_real X)) one_one_int)) ((ord_less_eq_real X) one_one_real))) of role axiom named fact_79_ceiling__le__one
% 0.51/0.69  A new axiom: (forall (X:real), (((eq Prop) ((ord_less_eq_int (archim1371465213g_real X)) one_one_int)) ((ord_less_eq_real X) one_one_real)))
% 0.51/0.69  FOF formula (forall (N:num), (((eq Prop) ((ord_less_eq_int (numeral_numeral_int N)) one_one_int)) ((ord_less_eq_num N) one))) of role axiom named fact_80_numeral__le__one__iff
% 0.51/0.69  A new axiom: (forall (N:num), (((eq Prop) ((ord_less_eq_int (numeral_numeral_int N)) one_one_int)) ((ord_less_eq_num N) one)))
% 0.51/0.69  FOF formula (forall (N:num), (((eq Prop) ((ord_less_eq_nat (numeral_numeral_nat N)) one_one_nat)) ((ord_less_eq_num N) one))) of role axiom named fact_81_numeral__le__one__iff
% 0.51/0.69  A new axiom: (forall (N:num), (((eq Prop) ((ord_less_eq_nat (numeral_numeral_nat N)) one_one_nat)) ((ord_less_eq_num N) one)))
% 0.51/0.69  FOF formula (forall (N:num), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real N)) one_one_real)) ((ord_less_eq_num N) one))) of role axiom named fact_82_numeral__le__one__iff
% 0.51/0.70  A new axiom: (forall (N:num), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real N)) one_one_real)) ((ord_less_eq_num N) one)))
% 0.51/0.70  FOF formula (forall (S:set_real), (((ex real) (fun (X4:real)=> ((member_real X4) S)))->(((ex real) (fun (Z3:real)=> (forall (X5:real), (((member_real X5) S)->((ord_less_eq_real X5) Z3)))))->((ex real) (fun (Y3:real)=> ((and (forall (X4:real), (((member_real X4) S)->((ord_less_eq_real X4) Y3)))) (forall (Z3:real), ((forall (X5:real), (((member_real X5) S)->((ord_less_eq_real X5) Z3)))->((ord_less_eq_real Y3) Z3))))))))) of role axiom named fact_83_complete__real
% 0.51/0.70  A new axiom: (forall (S:set_real), (((ex real) (fun (X4:real)=> ((member_real X4) S)))->(((ex real) (fun (Z3:real)=> (forall (X5:real), (((member_real X5) S)->((ord_less_eq_real X5) Z3)))))->((ex real) (fun (Y3:real)=> ((and (forall (X4:real), (((member_real X4) S)->((ord_less_eq_real X4) Y3)))) (forall (Z3:real), ((forall (X5:real), (((member_real X5) S)->((ord_less_eq_real X5) Z3)))->((ord_less_eq_real Y3) Z3)))))))))
% 0.51/0.70  FOF formula ((ord_less_eq_int one_one_int) one_one_int) of role axiom named fact_84_le__numeral__extra_I4_J
% 0.51/0.70  A new axiom: ((ord_less_eq_int one_one_int) one_one_int)
% 0.51/0.70  FOF formula ((ord_less_eq_nat one_one_nat) one_one_nat) of role axiom named fact_85_le__numeral__extra_I4_J
% 0.51/0.70  A new axiom: ((ord_less_eq_nat one_one_nat) one_one_nat)
% 0.51/0.70  FOF formula ((ord_less_eq_real one_one_real) one_one_real) of role axiom named fact_86_le__numeral__extra_I4_J
% 0.51/0.70  A new axiom: ((ord_less_eq_real one_one_real) one_one_real)
% 0.51/0.70  FOF formula (forall (N:num), ((ord_less_eq_int one_one_int) (numeral_numeral_int N))) of role axiom named fact_87_one__le__numeral
% 0.51/0.70  A new axiom: (forall (N:num), ((ord_less_eq_int one_one_int) (numeral_numeral_int N)))
% 0.51/0.70  FOF formula (forall (N:num), ((ord_less_eq_nat one_one_nat) (numeral_numeral_nat N))) of role axiom named fact_88_one__le__numeral
% 0.51/0.70  A new axiom: (forall (N:num), ((ord_less_eq_nat one_one_nat) (numeral_numeral_nat N)))
% 0.51/0.70  FOF formula (forall (N:num), ((ord_less_eq_real one_one_real) (numeral_numeral_real N))) of role axiom named fact_89_one__le__numeral
% 0.51/0.70  A new axiom: (forall (N:num), ((ord_less_eq_real one_one_real) (numeral_numeral_real N)))
% 0.51/0.70  FOF formula (((eq int) (numeral_numeral_int one)) one_one_int) of role axiom named fact_90_numeral__One
% 0.51/0.70  A new axiom: (((eq int) (numeral_numeral_int one)) one_one_int)
% 0.51/0.70  FOF formula (((eq real) (numeral_numeral_real one)) one_one_real) of role axiom named fact_91_numeral__One
% 0.51/0.70  A new axiom: (((eq real) (numeral_numeral_real one)) one_one_real)
% 0.51/0.70  FOF formula (((eq nat) (numeral_numeral_nat one)) one_one_nat) of role axiom named fact_92_numeral__One
% 0.51/0.70  A new axiom: (((eq nat) (numeral_numeral_nat one)) one_one_nat)
% 0.51/0.70  FOF formula (forall (A:int) (B:int), ((or ((or (((eq int) A) B)) (((ord_less_eq_int A) B)->False))) (((ord_less_eq_int B) A)->False))) of role axiom named fact_93_verit__la__disequality
% 0.51/0.70  A new axiom: (forall (A:int) (B:int), ((or ((or (((eq int) A) B)) (((ord_less_eq_int A) B)->False))) (((ord_less_eq_int B) A)->False)))
% 0.51/0.70  FOF formula (forall (A:nat) (B:nat), ((or ((or (((eq nat) A) B)) (((ord_less_eq_nat A) B)->False))) (((ord_less_eq_nat B) A)->False))) of role axiom named fact_94_verit__la__disequality
% 0.51/0.70  A new axiom: (forall (A:nat) (B:nat), ((or ((or (((eq nat) A) B)) (((ord_less_eq_nat A) B)->False))) (((ord_less_eq_nat B) A)->False)))
% 0.51/0.70  FOF formula (forall (A:real) (B:real), ((or ((or (((eq real) A) B)) (((ord_less_eq_real A) B)->False))) (((ord_less_eq_real B) A)->False))) of role axiom named fact_95_verit__la__disequality
% 0.51/0.70  A new axiom: (forall (A:real) (B:real), ((or ((or (((eq real) A) B)) (((ord_less_eq_real A) B)->False))) (((ord_less_eq_real B) A)->False)))
% 0.51/0.70  FOF formula (forall (A:num) (B:num), ((or ((or (((eq num) A) B)) (((ord_less_eq_num A) B)->False))) (((ord_less_eq_num B) A)->False))) of role axiom named fact_96_verit__la__disequality
% 0.51/0.70  A new axiom: (forall (A:num) (B:num), ((or ((or (((eq num) A) B)) (((ord_less_eq_num A) B)->False))) (((ord_less_eq_num B) A)->False)))
% 0.51/0.71  FOF formula (forall (X:num), (((eq Prop) ((ord_less_eq_num X) one)) (((eq num) X) one))) of role axiom named fact_97_le__num__One__iff
% 0.51/0.71  A new axiom: (forall (X:num), (((eq Prop) ((ord_less_eq_num X) one)) (((eq num) X) one)))
% 0.51/0.71  FOF formula (forall (N:nat), ((ord_less_eq_real one_one_real) ((power_power_real (numeral_numeral_real (bit0 one))) N))) of role axiom named fact_98_two__realpow__ge__one
% 0.51/0.71  A new axiom: (forall (N:nat), ((ord_less_eq_real one_one_real) ((power_power_real (numeral_numeral_real (bit0 one))) N)))
% 0.51/0.71  FOF formula (forall (A:int) (X:int), ((or ((or ((ord_less_eq_int A) X)) (((eq int) A) X))) ((ord_less_eq_int X) A))) of role axiom named fact_99_verit__la__generic
% 0.51/0.71  A new axiom: (forall (A:int) (X:int), ((or ((or ((ord_less_eq_int A) X)) (((eq int) A) X))) ((ord_less_eq_int X) A)))
% 0.51/0.71  FOF formula (forall (X2:num), (not (((eq num) one) (bit0 X2)))) of role axiom named fact_100_verit__eq__simplify_I10_J
% 0.51/0.71  A new axiom: (forall (X2:num), (not (((eq num) one) (bit0 X2))))
% 0.51/0.71  FOF formula (((eq (num->nat)) numeral_numeral_nat) (fun (_TPTP_I:num)=> (nat2 (numeral_numeral_int _TPTP_I)))) of role axiom named fact_101_nat__numeral__as__int
% 0.51/0.71  A new axiom: (((eq (num->nat)) numeral_numeral_nat) (fun (_TPTP_I:num)=> (nat2 (numeral_numeral_int _TPTP_I))))
% 0.51/0.71  FOF formula (((eq real) ((powr_real (numeral_numeral_real (bit0 one))) (semiri2110766477t_real (nat2 (archim1371465213g_real ((log (numeral_numeral_real (bit0 one))) (ring_1_of_int_real d))))))) (ring_1_of_int_real ((power_power_int (numeral_numeral_int (bit0 one))) (nat2 (archim1371465213g_real ((log (numeral_numeral_real (bit0 one))) (ring_1_of_int_real d))))))) of role axiom named fact_102__092_060open_0622_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_A_061_Areal__of__int_A_I2_A_094_Anat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062
% 0.51/0.71  A new axiom: (((eq real) ((powr_real (numeral_numeral_real (bit0 one))) (semiri2110766477t_real (nat2 (archim1371465213g_real ((log (numeral_numeral_real (bit0 one))) (ring_1_of_int_real d))))))) (ring_1_of_int_real ((power_power_int (numeral_numeral_int (bit0 one))) (nat2 (archim1371465213g_real ((log (numeral_numeral_real (bit0 one))) (ring_1_of_int_real d)))))))
% 0.51/0.71  FOF formula ((ord_less_eq_real ((powr_real (numeral_numeral_real (bit0 one))) ((log (numeral_numeral_real (bit0 one))) (ring_1_of_int_real d)))) ((powr_real (numeral_numeral_real (bit0 one))) (semiri2110766477t_real (nat2 (archim1371465213g_real ((log (numeral_numeral_real (bit0 one))) (ring_1_of_int_real d))))))) of role axiom named fact_103__092_060open_0622_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_A_092_060le_062_A2_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062
% 0.51/0.71  A new axiom: ((ord_less_eq_real ((powr_real (numeral_numeral_real (bit0 one))) ((log (numeral_numeral_real (bit0 one))) (ring_1_of_int_real d)))) ((powr_real (numeral_numeral_real (bit0 one))) (semiri2110766477t_real (nat2 (archim1371465213g_real ((log (numeral_numeral_real (bit0 one))) (ring_1_of_int_real d)))))))
% 0.51/0.71  FOF formula (forall (M:num) (N:num), (((eq real) ((powr_real (numeral_numeral_real M)) (numeral_numeral_real N))) ((power_power_real (numeral_numeral_real M)) (numeral_numeral_nat N)))) of role axiom named fact_104_numeral__powr__numeral__real
% 0.51/0.71  A new axiom: (forall (M:num) (N:num), (((eq real) ((powr_real (numeral_numeral_real M)) (numeral_numeral_real N))) ((power_power_real (numeral_numeral_real M)) (numeral_numeral_nat N))))
% 0.51/0.71  FOF formula (forall (A:real), (((eq real) ((powr_real one_one_real) A)) one_one_real)) of role axiom named fact_105_powr__one__eq__one
% 0.51/0.71  A new axiom: (forall (A:real), (((eq real) ((powr_real one_one_real) A)) one_one_real))
% 0.51/0.71  FOF formula (forall (K:nat) (M:nat), (((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) K)->((ord_less_eq_nat M) ((power_power_nat K) M)))) of role axiom named fact_106_self__le__ge2__pow
% 0.51/0.71  A new axiom: (forall (K:nat) (M:nat), (((ord_less_eq_nat (numeral_numeral_nat (bit0 one))) K)->((ord_less_eq_nat M) ((power_power_nat K) M))))
% 0.58/0.72  FOF formula (forall (M:nat) (N:nat), (((eq Prop) ((ord_less_eq_nat ((power_power_nat M) (numeral_numeral_nat (bit0 one)))) ((power_power_nat N) (numeral_numeral_nat (bit0 one))))) ((ord_less_eq_nat M) N))) of role axiom named fact_107_power2__nat__le__eq__le
% 0.58/0.72  A new axiom: (forall (M:nat) (N:nat), (((eq Prop) ((ord_less_eq_nat ((power_power_nat M) (numeral_numeral_nat (bit0 one)))) ((power_power_nat N) (numeral_numeral_nat (bit0 one))))) ((ord_less_eq_nat M) N)))
% 0.58/0.72  FOF formula (forall (M:nat) (N:nat), (((ord_less_eq_nat ((power_power_nat M) (numeral_numeral_nat (bit0 one)))) N)->((ord_less_eq_nat M) N))) of role axiom named fact_108_power2__nat__le__imp__le
% 0.58/0.72  A new axiom: (forall (M:nat) (N:nat), (((ord_less_eq_nat ((power_power_nat M) (numeral_numeral_nat (bit0 one)))) N)->((ord_less_eq_nat M) N)))
% 0.58/0.72  FOF formula (forall (N:nat) (M:nat), (((eq Prop) ((ord_less_eq_nat (suc N)) (suc M))) ((ord_less_eq_nat N) M))) of role axiom named fact_109_Suc__le__mono
% 0.58/0.72  A new axiom: (forall (N:nat) (M:nat), (((eq Prop) ((ord_less_eq_nat (suc N)) (suc M))) ((ord_less_eq_nat N) M)))
% 0.58/0.72  FOF formula (forall (A:int), (((eq int) ((power_power_int A) one_one_nat)) A)) of role axiom named fact_110_power__one__right
% 0.58/0.72  A new axiom: (forall (A:int), (((eq int) ((power_power_int A) one_one_nat)) A))
% 0.58/0.72  FOF formula (forall (A:nat), (((eq nat) ((power_power_nat A) one_one_nat)) A)) of role axiom named fact_111_power__one__right
% 0.58/0.72  A new axiom: (forall (A:nat), (((eq nat) ((power_power_nat A) one_one_nat)) A))
% 0.58/0.72  FOF formula (forall (A:real), (((eq real) ((power_power_real A) one_one_nat)) A)) of role axiom named fact_112_power__one__right
% 0.58/0.72  A new axiom: (forall (A:real), (((eq real) ((power_power_real A) one_one_nat)) A))
% 0.58/0.72  FOF formula (forall (X2:nat) (Y2:nat), (((eq Prop) (((eq nat) (suc X2)) (suc Y2))) (((eq nat) X2) Y2))) of role axiom named fact_113_nat_Oinject
% 0.58/0.72  A new axiom: (forall (X2:nat) (Y2:nat), (((eq Prop) (((eq nat) (suc X2)) (suc Y2))) (((eq nat) X2) Y2)))
% 0.58/0.72  FOF formula (forall (Nat:nat) (Nat2:nat), (((eq Prop) (((eq nat) (suc Nat)) (suc Nat2))) (((eq nat) Nat) Nat2))) of role axiom named fact_114_old_Onat_Oinject
% 0.58/0.72  A new axiom: (forall (Nat:nat) (Nat2:nat), (((eq Prop) (((eq nat) (suc Nat)) (suc Nat2))) (((eq nat) Nat) Nat2)))
% 0.58/0.72  FOF formula (forall (M:nat) (N:nat), (((eq Prop) (((eq real) (semiri2110766477t_real M)) (semiri2110766477t_real N))) (((eq nat) M) N))) of role axiom named fact_115_of__nat__eq__iff
% 0.58/0.72  A new axiom: (forall (M:nat) (N:nat), (((eq Prop) (((eq real) (semiri2110766477t_real M)) (semiri2110766477t_real N))) (((eq nat) M) N)))
% 0.58/0.72  FOF formula (forall (M:nat) (N:nat), (((eq Prop) (((eq int) (semiri2019852685at_int M)) (semiri2019852685at_int N))) (((eq nat) M) N))) of role axiom named fact_116_of__nat__eq__iff
% 0.58/0.72  A new axiom: (forall (M:nat) (N:nat), (((eq Prop) (((eq int) (semiri2019852685at_int M)) (semiri2019852685at_int N))) (((eq nat) M) N)))
% 0.58/0.72  FOF formula (forall (N:nat), (((eq int) ((power_power_int one_one_int) N)) one_one_int)) of role axiom named fact_117_power__one
% 0.58/0.72  A new axiom: (forall (N:nat), (((eq int) ((power_power_int one_one_int) N)) one_one_int))
% 0.58/0.72  FOF formula (forall (N:nat), (((eq nat) ((power_power_nat one_one_nat) N)) one_one_nat)) of role axiom named fact_118_power__one
% 0.58/0.72  A new axiom: (forall (N:nat), (((eq nat) ((power_power_nat one_one_nat) N)) one_one_nat))
% 0.58/0.72  FOF formula (forall (N:nat), (((eq real) ((power_power_real one_one_real) N)) one_one_real)) of role axiom named fact_119_power__one
% 0.58/0.72  A new axiom: (forall (N:nat), (((eq real) ((power_power_real one_one_real) N)) one_one_real))
% 0.58/0.72  FOF formula (forall (N:nat), (((eq Prop) (((eq nat) (semiri1382578993at_nat N)) one_one_nat)) (((eq nat) N) one_one_nat))) of role axiom named fact_120_of__nat__eq__1__iff
% 0.58/0.72  A new axiom: (forall (N:nat), (((eq Prop) (((eq nat) (semiri1382578993at_nat N)) one_one_nat)) (((eq nat) N) one_one_nat)))
% 0.58/0.72  FOF formula (forall (N:nat), (((eq Prop) (((eq real) (semiri2110766477t_real N)) one_one_real)) (((eq nat) N) one_one_nat))) of role axiom named fact_121_of__nat__eq__1__iff
% 0.58/0.72  A new axiom: (forall (N:nat), (((eq Prop) (((eq real) (semiri2110766477t_real N)) one_one_real)) (((eq nat) N) one_one_nat)))
% 0.58/0.73  FOF formula (forall (N:nat), (((eq Prop) (((eq int) (semiri2019852685at_int N)) one_one_int)) (((eq nat) N) one_one_nat))) of role axiom named fact_122_of__nat__eq__1__iff
% 0.58/0.73  A new axiom: (forall (N:nat), (((eq Prop) (((eq int) (semiri2019852685at_int N)) one_one_int)) (((eq nat) N) one_one_nat)))
% 0.58/0.73  FOF formula (forall (N:nat), (((eq Prop) (((eq nat) one_one_nat) (semiri1382578993at_nat N))) (((eq nat) N) one_one_nat))) of role axiom named fact_123_of__nat__1__eq__iff
% 0.58/0.73  A new axiom: (forall (N:nat), (((eq Prop) (((eq nat) one_one_nat) (semiri1382578993at_nat N))) (((eq nat) N) one_one_nat)))
% 0.58/0.73  FOF formula (forall (N:nat), (((eq Prop) (((eq real) one_one_real) (semiri2110766477t_real N))) (((eq nat) N) one_one_nat))) of role axiom named fact_124_of__nat__1__eq__iff
% 0.58/0.73  A new axiom: (forall (N:nat), (((eq Prop) (((eq real) one_one_real) (semiri2110766477t_real N))) (((eq nat) N) one_one_nat)))
% 0.58/0.73  FOF formula (forall (N:nat), (((eq Prop) (((eq int) one_one_int) (semiri2019852685at_int N))) (((eq nat) N) one_one_nat))) of role axiom named fact_125_of__nat__1__eq__iff
% 0.58/0.73  A new axiom: (forall (N:nat), (((eq Prop) (((eq int) one_one_int) (semiri2019852685at_int N))) (((eq nat) N) one_one_nat)))
% 0.58/0.73  FOF formula (((eq nat) (semiri1382578993at_nat one_one_nat)) one_one_nat) of role axiom named fact_126_of__nat__1
% 0.58/0.73  A new axiom: (((eq nat) (semiri1382578993at_nat one_one_nat)) one_one_nat)
% 0.58/0.73  FOF formula (((eq real) (semiri2110766477t_real one_one_nat)) one_one_real) of role axiom named fact_127_of__nat__1
% 0.58/0.73  A new axiom: (((eq real) (semiri2110766477t_real one_one_nat)) one_one_real)
% 0.58/0.73  FOF formula (((eq int) (semiri2019852685at_int one_one_nat)) one_one_int) of role axiom named fact_128_of__nat__1
% 0.58/0.73  A new axiom: (((eq int) (semiri2019852685at_int one_one_nat)) one_one_int)
% 0.58/0.73  FOF formula (forall (N:nat), (((eq real) (ring_1_of_int_real (semiri2019852685at_int N))) (semiri2110766477t_real N))) of role axiom named fact_129_of__int__of__nat__eq
% 0.58/0.73  A new axiom: (forall (N:nat), (((eq real) (ring_1_of_int_real (semiri2019852685at_int N))) (semiri2110766477t_real N)))
% 0.58/0.73  FOF formula (forall (N:nat), (((eq int) (ring_1_of_int_int (semiri2019852685at_int N))) (semiri2019852685at_int N))) of role axiom named fact_130_of__int__of__nat__eq
% 0.58/0.73  A new axiom: (forall (N:nat), (((eq int) (ring_1_of_int_int (semiri2019852685at_int N))) (semiri2019852685at_int N)))
% 0.58/0.73  FOF formula (forall (N:nat), (((eq int) (archim1371465213g_real (semiri2110766477t_real N))) (semiri2019852685at_int N))) of role axiom named fact_131_ceiling__of__nat
% 0.58/0.73  A new axiom: (forall (N:nat), (((eq int) (archim1371465213g_real (semiri2110766477t_real N))) (semiri2019852685at_int N)))
% 0.58/0.73  FOF formula (forall (M:nat) (N:nat), (((eq Prop) ((ord_less_eq_int (semiri2019852685at_int M)) (semiri2019852685at_int N))) ((ord_less_eq_nat M) N))) of role axiom named fact_132_of__nat__le__iff
% 0.58/0.73  A new axiom: (forall (M:nat) (N:nat), (((eq Prop) ((ord_less_eq_int (semiri2019852685at_int M)) (semiri2019852685at_int N))) ((ord_less_eq_nat M) N)))
% 0.58/0.73  FOF formula (forall (M:nat) (N:nat), (((eq Prop) ((ord_less_eq_nat (semiri1382578993at_nat M)) (semiri1382578993at_nat N))) ((ord_less_eq_nat M) N))) of role axiom named fact_133_of__nat__le__iff
% 0.58/0.73  A new axiom: (forall (M:nat) (N:nat), (((eq Prop) ((ord_less_eq_nat (semiri1382578993at_nat M)) (semiri1382578993at_nat N))) ((ord_less_eq_nat M) N)))
% 0.58/0.73  FOF formula (forall (M:nat) (N:nat), (((eq Prop) ((ord_less_eq_real (semiri2110766477t_real M)) (semiri2110766477t_real N))) ((ord_less_eq_nat M) N))) of role axiom named fact_134_of__nat__le__iff
% 0.58/0.73  A new axiom: (forall (M:nat) (N:nat), (((eq Prop) ((ord_less_eq_real (semiri2110766477t_real M)) (semiri2110766477t_real N))) ((ord_less_eq_nat M) N)))
% 0.58/0.73  FOF formula (forall (N:num), (((eq nat) (semiri1382578993at_nat (numeral_numeral_nat N))) (numeral_numeral_nat N))) of role axiom named fact_135_of__nat__numeral
% 0.58/0.73  A new axiom: (forall (N:num), (((eq nat) (semiri1382578993at_nat (numeral_numeral_nat N))) (numeral_numeral_nat N)))
% 0.58/0.73  FOF formula (forall (N:num), (((eq real) (semiri2110766477t_real (numeral_numeral_nat N))) (numeral_numeral_real N))) of role axiom named fact_136_of__nat__numeral
% 0.58/0.74  A new axiom: (forall (N:num), (((eq real) (semiri2110766477t_real (numeral_numeral_nat N))) (numeral_numeral_real N)))
% 0.58/0.74  FOF formula (forall (N:num), (((eq int) (semiri2019852685at_int (numeral_numeral_nat N))) (numeral_numeral_int N))) of role axiom named fact_137_of__nat__numeral
% 0.58/0.74  A new axiom: (forall (N:num), (((eq int) (semiri2019852685at_int (numeral_numeral_nat N))) (numeral_numeral_int N)))
% 0.58/0.74  FOF formula (forall (X:nat) (B:nat) (W:nat), (((eq Prop) (((eq nat) (semiri1382578993at_nat X)) ((power_power_nat (semiri1382578993at_nat B)) W))) (((eq nat) X) ((power_power_nat B) W)))) of role axiom named fact_138_of__nat__power__eq__of__nat__cancel__iff
% 0.58/0.74  A new axiom: (forall (X:nat) (B:nat) (W:nat), (((eq Prop) (((eq nat) (semiri1382578993at_nat X)) ((power_power_nat (semiri1382578993at_nat B)) W))) (((eq nat) X) ((power_power_nat B) W))))
% 0.58/0.74  FOF formula (forall (X:nat) (B:nat) (W:nat), (((eq Prop) (((eq real) (semiri2110766477t_real X)) ((power_power_real (semiri2110766477t_real B)) W))) (((eq nat) X) ((power_power_nat B) W)))) of role axiom named fact_139_of__nat__power__eq__of__nat__cancel__iff
% 0.58/0.74  A new axiom: (forall (X:nat) (B:nat) (W:nat), (((eq Prop) (((eq real) (semiri2110766477t_real X)) ((power_power_real (semiri2110766477t_real B)) W))) (((eq nat) X) ((power_power_nat B) W))))
% 0.58/0.74  FOF formula (forall (X:nat) (B:nat) (W:nat), (((eq Prop) (((eq int) (semiri2019852685at_int X)) ((power_power_int (semiri2019852685at_int B)) W))) (((eq nat) X) ((power_power_nat B) W)))) of role axiom named fact_140_of__nat__power__eq__of__nat__cancel__iff
% 0.58/0.74  A new axiom: (forall (X:nat) (B:nat) (W:nat), (((eq Prop) (((eq int) (semiri2019852685at_int X)) ((power_power_int (semiri2019852685at_int B)) W))) (((eq nat) X) ((power_power_nat B) W))))
% 0.58/0.74  FOF formula (forall (B:nat) (W:nat) (X:nat), (((eq Prop) (((eq nat) ((power_power_nat (semiri1382578993at_nat B)) W)) (semiri1382578993at_nat X))) (((eq nat) ((power_power_nat B) W)) X))) of role axiom named fact_141_of__nat__eq__of__nat__power__cancel__iff
% 0.58/0.74  A new axiom: (forall (B:nat) (W:nat) (X:nat), (((eq Prop) (((eq nat) ((power_power_nat (semiri1382578993at_nat B)) W)) (semiri1382578993at_nat X))) (((eq nat) ((power_power_nat B) W)) X)))
% 0.58/0.74  FOF formula (forall (B:nat) (W:nat) (X:nat), (((eq Prop) (((eq real) ((power_power_real (semiri2110766477t_real B)) W)) (semiri2110766477t_real X))) (((eq nat) ((power_power_nat B) W)) X))) of role axiom named fact_142_of__nat__eq__of__nat__power__cancel__iff
% 0.58/0.74  A new axiom: (forall (B:nat) (W:nat) (X:nat), (((eq Prop) (((eq real) ((power_power_real (semiri2110766477t_real B)) W)) (semiri2110766477t_real X))) (((eq nat) ((power_power_nat B) W)) X)))
% 0.58/0.74  FOF formula (forall (B:nat) (W:nat) (X:nat), (((eq Prop) (((eq int) ((power_power_int (semiri2019852685at_int B)) W)) (semiri2019852685at_int X))) (((eq nat) ((power_power_nat B) W)) X))) of role axiom named fact_143_of__nat__eq__of__nat__power__cancel__iff
% 0.58/0.74  A new axiom: (forall (B:nat) (W:nat) (X:nat), (((eq Prop) (((eq int) ((power_power_int (semiri2019852685at_int B)) W)) (semiri2019852685at_int X))) (((eq nat) ((power_power_nat B) W)) X)))
% 0.58/0.74  FOF formula (forall (M:nat) (N:nat), (((eq nat) (semiri1382578993at_nat ((power_power_nat M) N))) ((power_power_nat (semiri1382578993at_nat M)) N))) of role axiom named fact_144_of__nat__power
% 0.58/0.74  A new axiom: (forall (M:nat) (N:nat), (((eq nat) (semiri1382578993at_nat ((power_power_nat M) N))) ((power_power_nat (semiri1382578993at_nat M)) N)))
% 0.58/0.74  FOF formula (forall (M:nat) (N:nat), (((eq real) (semiri2110766477t_real ((power_power_nat M) N))) ((power_power_real (semiri2110766477t_real M)) N))) of role axiom named fact_145_of__nat__power
% 0.58/0.74  A new axiom: (forall (M:nat) (N:nat), (((eq real) (semiri2110766477t_real ((power_power_nat M) N))) ((power_power_real (semiri2110766477t_real M)) N)))
% 0.58/0.74  FOF formula (forall (M:nat) (N:nat), (((eq int) (semiri2019852685at_int ((power_power_nat M) N))) ((power_power_int (semiri2019852685at_int M)) N))) of role axiom named fact_146_of__nat__power
% 0.58/0.74  A new axiom: (forall (M:nat) (N:nat), (((eq int) (semiri2019852685at_int ((power_power_nat M) N))) ((power_power_int (semiri2019852685at_int M)) N)))
% 0.58/0.75  FOF formula (((eq nat) (suc one_one_nat)) (numeral_numeral_nat (bit0 one))) of role axiom named fact_147_Suc__1
% 0.58/0.75  A new axiom: (((eq nat) (suc one_one_nat)) (numeral_numeral_nat (bit0 one)))
% 0.58/0.75  FOF formula (forall (X:nat) (B:nat) (W:nat), (((eq Prop) ((ord_less_eq_int (semiri2019852685at_int X)) ((power_power_int (semiri2019852685at_int B)) W))) ((ord_less_eq_nat X) ((power_power_nat B) W)))) of role axiom named fact_148_of__nat__power__le__of__nat__cancel__iff
% 0.58/0.75  A new axiom: (forall (X:nat) (B:nat) (W:nat), (((eq Prop) ((ord_less_eq_int (semiri2019852685at_int X)) ((power_power_int (semiri2019852685at_int B)) W))) ((ord_less_eq_nat X) ((power_power_nat B) W))))
% 0.58/0.75  FOF formula (forall (X:nat) (B:nat) (W:nat), (((eq Prop) ((ord_less_eq_nat (semiri1382578993at_nat X)) ((power_power_nat (semiri1382578993at_nat B)) W))) ((ord_less_eq_nat X) ((power_power_nat B) W)))) of role axiom named fact_149_of__nat__power__le__of__nat__cancel__iff
% 0.58/0.75  A new axiom: (forall (X:nat) (B:nat) (W:nat), (((eq Prop) ((ord_less_eq_nat (semiri1382578993at_nat X)) ((power_power_nat (semiri1382578993at_nat B)) W))) ((ord_less_eq_nat X) ((power_power_nat B) W))))
% 0.58/0.75  FOF formula (forall (X:nat) (B:nat) (W:nat), (((eq Prop) ((ord_less_eq_real (semiri2110766477t_real X)) ((power_power_real (semiri2110766477t_real B)) W))) ((ord_less_eq_nat X) ((power_power_nat B) W)))) of role axiom named fact_150_of__nat__power__le__of__nat__cancel__iff
% 0.58/0.75  A new axiom: (forall (X:nat) (B:nat) (W:nat), (((eq Prop) ((ord_less_eq_real (semiri2110766477t_real X)) ((power_power_real (semiri2110766477t_real B)) W))) ((ord_less_eq_nat X) ((power_power_nat B) W))))
% 0.58/0.75  FOF formula (forall (B:nat) (W:nat) (X:nat), (((eq Prop) ((ord_less_eq_int ((power_power_int (semiri2019852685at_int B)) W)) (semiri2019852685at_int X))) ((ord_less_eq_nat ((power_power_nat B) W)) X))) of role axiom named fact_151_of__nat__le__of__nat__power__cancel__iff
% 0.58/0.75  A new axiom: (forall (B:nat) (W:nat) (X:nat), (((eq Prop) ((ord_less_eq_int ((power_power_int (semiri2019852685at_int B)) W)) (semiri2019852685at_int X))) ((ord_less_eq_nat ((power_power_nat B) W)) X)))
% 0.58/0.75  FOF formula (forall (B:nat) (W:nat) (X:nat), (((eq Prop) ((ord_less_eq_nat ((power_power_nat (semiri1382578993at_nat B)) W)) (semiri1382578993at_nat X))) ((ord_less_eq_nat ((power_power_nat B) W)) X))) of role axiom named fact_152_of__nat__le__of__nat__power__cancel__iff
% 0.58/0.75  A new axiom: (forall (B:nat) (W:nat) (X:nat), (((eq Prop) ((ord_less_eq_nat ((power_power_nat (semiri1382578993at_nat B)) W)) (semiri1382578993at_nat X))) ((ord_less_eq_nat ((power_power_nat B) W)) X)))
% 0.58/0.75  FOF formula (forall (B:nat) (W:nat) (X:nat), (((eq Prop) ((ord_less_eq_real ((power_power_real (semiri2110766477t_real B)) W)) (semiri2110766477t_real X))) ((ord_less_eq_nat ((power_power_nat B) W)) X))) of role axiom named fact_153_of__nat__le__of__nat__power__cancel__iff
% 0.58/0.75  A new axiom: (forall (B:nat) (W:nat) (X:nat), (((eq Prop) ((ord_less_eq_real ((power_power_real (semiri2110766477t_real B)) W)) (semiri2110766477t_real X))) ((ord_less_eq_nat ((power_power_nat B) W)) X)))
% 0.58/0.75  FOF formula (forall (Y:nat) (X:num) (N:nat), (((eq Prop) (((eq nat) (semiri1382578993at_nat Y)) ((power_power_nat (numeral_numeral_nat X)) N))) (((eq nat) Y) ((power_power_nat (numeral_numeral_nat X)) N)))) of role axiom named fact_154_real__of__nat__eq__numeral__power__cancel__iff
% 0.58/0.75  A new axiom: (forall (Y:nat) (X:num) (N:nat), (((eq Prop) (((eq nat) (semiri1382578993at_nat Y)) ((power_power_nat (numeral_numeral_nat X)) N))) (((eq nat) Y) ((power_power_nat (numeral_numeral_nat X)) N))))
% 0.58/0.75  FOF formula (forall (Y:nat) (X:num) (N:nat), (((eq Prop) (((eq real) (semiri2110766477t_real Y)) ((power_power_real (numeral_numeral_real X)) N))) (((eq nat) Y) ((power_power_nat (numeral_numeral_nat X)) N)))) of role axiom named fact_155_real__of__nat__eq__numeral__power__cancel__iff
% 0.58/0.75  A new axiom: (forall (Y:nat) (X:num) (N:nat), (((eq Prop) (((eq real) (semiri2110766477t_real Y)) ((power_power_real (numeral_numeral_real X)) N))) (((eq nat) Y) ((power_power_nat (numeral_numeral_nat X)) N))))
% 0.62/0.76  FOF formula (forall (Y:nat) (X:num) (N:nat), (((eq Prop) (((eq int) (semiri2019852685at_int Y)) ((power_power_int (numeral_numeral_int X)) N))) (((eq nat) Y) ((power_power_nat (numeral_numeral_nat X)) N)))) of role axiom named fact_156_real__of__nat__eq__numeral__power__cancel__iff
% 0.62/0.76  A new axiom: (forall (Y:nat) (X:num) (N:nat), (((eq Prop) (((eq int) (semiri2019852685at_int Y)) ((power_power_int (numeral_numeral_int X)) N))) (((eq nat) Y) ((power_power_nat (numeral_numeral_nat X)) N))))
% 0.62/0.76  FOF formula (forall (X:num) (N:nat) (Y:nat), (((eq Prop) (((eq nat) ((power_power_nat (numeral_numeral_nat X)) N)) (semiri1382578993at_nat Y))) (((eq nat) ((power_power_nat (numeral_numeral_nat X)) N)) Y))) of role axiom named fact_157_numeral__power__eq__of__nat__cancel__iff
% 0.62/0.76  A new axiom: (forall (X:num) (N:nat) (Y:nat), (((eq Prop) (((eq nat) ((power_power_nat (numeral_numeral_nat X)) N)) (semiri1382578993at_nat Y))) (((eq nat) ((power_power_nat (numeral_numeral_nat X)) N)) Y)))
% 0.62/0.76  FOF formula (forall (X:num) (N:nat) (Y:nat), (((eq Prop) (((eq real) ((power_power_real (numeral_numeral_real X)) N)) (semiri2110766477t_real Y))) (((eq nat) ((power_power_nat (numeral_numeral_nat X)) N)) Y))) of role axiom named fact_158_numeral__power__eq__of__nat__cancel__iff
% 0.62/0.76  A new axiom: (forall (X:num) (N:nat) (Y:nat), (((eq Prop) (((eq real) ((power_power_real (numeral_numeral_real X)) N)) (semiri2110766477t_real Y))) (((eq nat) ((power_power_nat (numeral_numeral_nat X)) N)) Y)))
% 0.62/0.76  FOF formula (forall (X:num) (N:nat) (Y:nat), (((eq Prop) (((eq int) ((power_power_int (numeral_numeral_int X)) N)) (semiri2019852685at_int Y))) (((eq nat) ((power_power_nat (numeral_numeral_nat X)) N)) Y))) of role axiom named fact_159_numeral__power__eq__of__nat__cancel__iff
% 0.62/0.76  A new axiom: (forall (X:num) (N:nat) (Y:nat), (((eq Prop) (((eq int) ((power_power_int (numeral_numeral_int X)) N)) (semiri2019852685at_int Y))) (((eq nat) ((power_power_nat (numeral_numeral_nat X)) N)) Y)))
% 0.62/0.76  FOF formula (forall (N:num) (M:nat), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real N)) (semiri2110766477t_real M))) ((ord_less_eq_nat (numeral_numeral_nat N)) M))) of role axiom named fact_160_numeral__le__real__of__nat__iff
% 0.62/0.76  A new axiom: (forall (N:num) (M:nat), (((eq Prop) ((ord_less_eq_real (numeral_numeral_real N)) (semiri2110766477t_real M))) ((ord_less_eq_nat (numeral_numeral_nat N)) M)))
% 0.62/0.76  FOF formula (forall (X:real) (A:nat), (((eq Prop) ((ord_less_eq_nat (nat2 (archim1371465213g_real X))) A)) ((ord_less_eq_real X) (semiri2110766477t_real A)))) of role axiom named fact_161_nat__ceiling__le__eq
% 0.62/0.76  A new axiom: (forall (X:real) (A:nat), (((eq Prop) ((ord_less_eq_nat (nat2 (archim1371465213g_real X))) A)) ((ord_less_eq_real X) (semiri2110766477t_real A))))
% 0.62/0.76  FOF formula (forall (X:nat) (I2:num) (N:nat), (((eq Prop) ((ord_less_eq_int (semiri2019852685at_int X)) ((power_power_int (numeral_numeral_int I2)) N))) ((ord_less_eq_nat X) ((power_power_nat (numeral_numeral_nat I2)) N)))) of role axiom named fact_162_of__nat__le__numeral__power__cancel__iff
% 0.62/0.76  A new axiom: (forall (X:nat) (I2:num) (N:nat), (((eq Prop) ((ord_less_eq_int (semiri2019852685at_int X)) ((power_power_int (numeral_numeral_int I2)) N))) ((ord_less_eq_nat X) ((power_power_nat (numeral_numeral_nat I2)) N))))
% 0.62/0.76  FOF formula (forall (X:nat) (I2:num) (N:nat), (((eq Prop) ((ord_less_eq_nat (semiri1382578993at_nat X)) ((power_power_nat (numeral_numeral_nat I2)) N))) ((ord_less_eq_nat X) ((power_power_nat (numeral_numeral_nat I2)) N)))) of role axiom named fact_163_of__nat__le__numeral__power__cancel__iff
% 0.62/0.76  A new axiom: (forall (X:nat) (I2:num) (N:nat), (((eq Prop) ((ord_less_eq_nat (semiri1382578993at_nat X)) ((power_power_nat (numeral_numeral_nat I2)) N))) ((ord_less_eq_nat X) ((power_power_nat (numeral_numeral_nat I2)) N))))
% 0.62/0.76  FOF formula (forall (X:nat) (I2:num) (N:nat), (((eq Prop) ((ord_less_eq_real (semiri2110766477t_real X)) ((power_power_real (numeral_numeral_real I2)) N))) ((ord_less_eq_nat X) ((power_power_nat (numeral_numeral_nat I2)) N)))) of role axiom named fact_164_of__nat__le__numeral__power__cancel__iff
% 0.62/0.78  A new axiom: (forall (X:nat) (I2:num) (N:nat), (((eq Prop) ((ord_less_eq_real (semiri2110766477t_real X)) ((power_power_real (numeral_numeral_real I2)) N))) ((ord_less_eq_nat X) ((power_power_nat (numeral_numeral_nat I2)) N))))
% 0.62/0.78  FOF formula (forall (I2:num) (N:nat) (X:nat), (((eq Prop) ((ord_less_eq_int ((power_power_int (numeral_numeral_int I2)) N)) (semiri2019852685at_int X))) ((ord_less_eq_nat ((power_power_nat (numeral_numeral_nat I2)) N)) X))) of role axiom named fact_165_numeral__power__le__of__nat__cancel__iff
% 0.62/0.78  A new axiom: (forall (I2:num) (N:nat) (X:nat), (((eq Prop) ((ord_less_eq_int ((power_power_int (numeral_numeral_int I2)) N)) (semiri2019852685at_int X))) ((ord_less_eq_nat ((power_power_nat (numeral_numeral_nat I2)) N)) X)))
% 0.62/0.78  FOF formula (forall (I2:num) (N:nat) (X:nat), (((eq Prop) ((ord_less_eq_nat ((power_power_nat (numeral_numeral_nat I2)) N)) (semiri1382578993at_nat X))) ((ord_less_eq_nat ((power_power_nat (numeral_numeral_nat I2)) N)) X))) of role axiom named fact_166_numeral__power__le__of__nat__cancel__iff
% 0.62/0.78  A new axiom: (forall (I2:num) (N:nat) (X:nat), (((eq Prop) ((ord_less_eq_nat ((power_power_nat (numeral_numeral_nat I2)) N)) (semiri1382578993at_nat X))) ((ord_less_eq_nat ((power_power_nat (numeral_numeral_nat I2)) N)) X)))
% 0.62/0.78  FOF formula (forall (I2:num) (N:nat) (X:nat), (((eq Prop) ((ord_less_eq_real ((power_power_real (numeral_numeral_real I2)) N)) (semiri2110766477t_real X))) ((ord_less_eq_nat ((power_power_nat (numeral_numeral_nat I2)) N)) X))) of role axiom named fact_167_numeral__power__le__of__nat__cancel__iff
% 0.62/0.78  A new axiom: (forall (I2:num) (N:nat) (X:nat), (((eq Prop) ((ord_less_eq_real ((power_power_real (numeral_numeral_real I2)) N)) (semiri2110766477t_real X))) ((ord_less_eq_nat ((power_power_nat (numeral_numeral_nat I2)) N)) X)))
% 0.62/0.78  FOF formula (((eq nat) one_one_nat) (nat2 one_one_int)) of role axiom named fact_168_nat__one__as__int
% 0.62/0.78  A new axiom: (((eq nat) one_one_nat) (nat2 one_one_int))
% 0.62/0.78  FOF formula (forall (X:real), ((ex nat) (fun (N3:nat)=> ((ord_less_eq_real X) (semiri2110766477t_real N3))))) of role axiom named fact_169_real__arch__simple
% 0.62/0.78  A new axiom: (forall (X:real), ((ex nat) (fun (N3:nat)=> ((ord_less_eq_real X) (semiri2110766477t_real N3)))))
% 0.62/0.78  FOF formula (forall (I2:nat) (J:nat), (((ord_less_eq_nat I2) J)->((ord_less_eq_int (semiri2019852685at_int I2)) (semiri2019852685at_int J)))) of role axiom named fact_170_of__nat__mono
% 0.62/0.78  A new axiom: (forall (I2:nat) (J:nat), (((ord_less_eq_nat I2) J)->((ord_less_eq_int (semiri2019852685at_int I2)) (semiri2019852685at_int J))))
% 0.62/0.78  FOF formula (forall (I2:nat) (J:nat), (((ord_less_eq_nat I2) J)->((ord_less_eq_nat (semiri1382578993at_nat I2)) (semiri1382578993at_nat J)))) of role axiom named fact_171_of__nat__mono
% 0.62/0.78  A new axiom: (forall (I2:nat) (J:nat), (((ord_less_eq_nat I2) J)->((ord_less_eq_nat (semiri1382578993at_nat I2)) (semiri1382578993at_nat J))))
% 0.62/0.78  FOF formula (forall (I2:nat) (J:nat), (((ord_less_eq_nat I2) J)->((ord_less_eq_real (semiri2110766477t_real I2)) (semiri2110766477t_real J)))) of role axiom named fact_172_of__nat__mono
% 0.62/0.78  A new axiom: (forall (I2:nat) (J:nat), (((ord_less_eq_nat I2) J)->((ord_less_eq_real (semiri2110766477t_real I2)) (semiri2110766477t_real J))))
% 0.62/0.78  FOF formula (((eq nat) (numeral_numeral_nat one)) one_one_nat) of role axiom named fact_173_numerals_I1_J
% 0.62/0.78  A new axiom: (((eq nat) (numeral_numeral_nat one)) one_one_nat)
% 0.62/0.78  FOF formula (forall (R:real), ((ord_less_eq_real R) (semiri2110766477t_real (nat2 (archim1371465213g_real R))))) of role axiom named fact_174_of__nat__ceiling
% 0.62/0.78  A new axiom: (forall (R:real), ((ord_less_eq_real R) (semiri2110766477t_real (nat2 (archim1371465213g_real R)))))
% 0.62/0.78  FOF formula (forall (X:nat) (Y:nat), ((((eq nat) (suc X)) (suc Y))->(((eq nat) X) Y))) of role axiom named fact_175_Suc__inject
% 0.62/0.78  A new axiom: (forall (X:nat) (Y:nat), ((((eq nat) (suc X)) (suc Y))->(((eq nat) X) Y)))
% 0.62/0.78  FOF formula (forall (N:nat), (not (((eq nat) N) (suc N)))) of role axiom named fact_176_n__not__Suc__n
% 0.62/0.78  A new axiom: (forall (N:nat), (not (((eq nat) N) (suc N))))
% 0.62/0.78  FOF formula (forall (P:(nat->Prop)) (K:nat) (B:nat), ((P K)->((forall (Y3:nat), ((P Y3)->((ord_less_eq_nat Y3) B)))->((ex nat) (fun (X5:nat)=> ((and (P X5)) (forall (Y4:nat), ((P Y4)->((ord_less_eq_nat Y4) X5))))))))) of role axiom named fact_177_Nat_Oex__has__greatest__nat
% 0.62/0.79  A new axiom: (forall (P:(nat->Prop)) (K:nat) (B:nat), ((P K)->((forall (Y3:nat), ((P Y3)->((ord_less_eq_nat Y3) B)))->((ex nat) (fun (X5:nat)=> ((and (P X5)) (forall (Y4:nat), ((P Y4)->((ord_less_eq_nat Y4) X5)))))))))
% 0.62/0.79  FOF formula (forall (M:nat) (N:nat), ((or ((ord_less_eq_nat M) N)) ((ord_less_eq_nat N) M))) of role axiom named fact_178_nat__le__linear
% 0.62/0.79  A new axiom: (forall (M:nat) (N:nat), ((or ((ord_less_eq_nat M) N)) ((ord_less_eq_nat N) M)))
% 0.62/0.79  FOF formula (forall (M:nat) (N:nat), (((ord_less_eq_nat M) N)->(((ord_less_eq_nat N) M)->(((eq nat) M) N)))) of role axiom named fact_179_le__antisym
% 0.62/0.79  A new axiom: (forall (M:nat) (N:nat), (((ord_less_eq_nat M) N)->(((ord_less_eq_nat N) M)->(((eq nat) M) N))))
% 0.62/0.79  FOF formula (forall (M:nat) (N:nat), ((((eq nat) M) N)->((ord_less_eq_nat M) N))) of role axiom named fact_180_eq__imp__le
% 0.62/0.79  A new axiom: (forall (M:nat) (N:nat), ((((eq nat) M) N)->((ord_less_eq_nat M) N)))
% 0.62/0.79  FOF formula (forall (I2:nat) (J:nat) (K:nat), (((ord_less_eq_nat I2) J)->(((ord_less_eq_nat J) K)->((ord_less_eq_nat I2) K)))) of role axiom named fact_181_le__trans
% 0.62/0.79  A new axiom: (forall (I2:nat) (J:nat) (K:nat), (((ord_less_eq_nat I2) J)->(((ord_less_eq_nat J) K)->((ord_less_eq_nat I2) K))))
% 0.62/0.79  FOF formula (forall (N:nat), ((ord_less_eq_nat N) N)) of role axiom named fact_182_le__refl
% 0.62/0.79  A new axiom: (forall (N:nat), ((ord_less_eq_nat N) N))
% 0.62/0.79  FOF formula (forall (X:real), ((ord_less_eq_real X) (semiri2110766477t_real (nat2 (archim1371465213g_real X))))) of role axiom named fact_183_real__nat__ceiling__ge
% 0.62/0.79  A new axiom: (forall (X:real), ((ord_less_eq_real X) (semiri2110766477t_real (nat2 (archim1371465213g_real X)))))
% 0.62/0.79  FOF formula (forall (X:real) (A:real) (B:real), (((eq real) ((powr_real ((powr_real X) A)) B)) ((powr_real ((powr_real X) B)) A))) of role axiom named fact_184_powr__powr__swap
% 0.62/0.79  A new axiom: (forall (X:real) (A:real) (B:real), (((eq real) ((powr_real ((powr_real X) A)) B)) ((powr_real ((powr_real X) B)) A)))
% 0.62/0.79  FOF formula (forall (M:nat) (N:nat), ((((eq nat) M) ((power_power_nat (numeral_numeral_nat (bit0 one))) N))->(((eq real) (semiri2110766477t_real N)) ((log (numeral_numeral_real (bit0 one))) (semiri2110766477t_real M))))) of role axiom named fact_185_log2__of__power__eq
% 0.62/0.79  A new axiom: (forall (M:nat) (N:nat), ((((eq nat) M) ((power_power_nat (numeral_numeral_nat (bit0 one))) N))->(((eq real) (semiri2110766477t_real N)) ((log (numeral_numeral_real (bit0 one))) (semiri2110766477t_real M)))))
% 0.62/0.79  FOF formula (forall (N:nat) (M:nat), (((ord_less_eq_nat ((power_power_nat (numeral_numeral_nat (bit0 one))) N)) M)->((ord_less_eq_real (semiri2110766477t_real N)) ((log (numeral_numeral_real (bit0 one))) (semiri2110766477t_real M))))) of role axiom named fact_186_le__log2__of__power
% 0.62/0.79  A new axiom: (forall (N:nat) (M:nat), (((ord_less_eq_nat ((power_power_nat (numeral_numeral_nat (bit0 one))) N)) M)->((ord_less_eq_real (semiri2110766477t_real N)) ((log (numeral_numeral_real (bit0 one))) (semiri2110766477t_real M)))))
% 0.62/0.79  FOF formula (forall (M:nat) (N:nat) (R2:(nat->(nat->Prop))), (((ord_less_eq_nat M) N)->((forall (X5:nat), ((R2 X5) X5))->((forall (X5:nat) (Y3:nat) (Z2:nat), (((R2 X5) Y3)->(((R2 Y3) Z2)->((R2 X5) Z2))))->((forall (N3:nat), ((R2 N3) (suc N3)))->((R2 M) N)))))) of role axiom named fact_187_transitive__stepwise__le
% 0.62/0.79  A new axiom: (forall (M:nat) (N:nat) (R2:(nat->(nat->Prop))), (((ord_less_eq_nat M) N)->((forall (X5:nat), ((R2 X5) X5))->((forall (X5:nat) (Y3:nat) (Z2:nat), (((R2 X5) Y3)->(((R2 Y3) Z2)->((R2 X5) Z2))))->((forall (N3:nat), ((R2 N3) (suc N3)))->((R2 M) N))))))
% 0.62/0.79  FOF formula (forall (M:nat) (N:nat) (P:(nat->Prop)), (((ord_less_eq_nat M) N)->((P M)->((forall (N3:nat), (((ord_less_eq_nat M) N3)->((P N3)->(P (suc N3)))))->(P N))))) of role axiom named fact_188_nat__induct__at__least
% 0.62/0.79  A new axiom: (forall (M:nat) (N:nat) (P:(nat->Prop)), (((ord_less_eq_nat M) N)->((P M)->((forall (N3:nat), (((ord_less_eq_nat M) N3)->((P N3)->(P (suc N3)))))->(P N)))))
% 0.62/0.80  FOF formula (forall (P:(nat->Prop)) (N:nat), ((forall (N3:nat), ((forall (M2:nat), (((ord_less_eq_nat (suc M2)) N3)->(P M2)))->(P N3)))->(P N))) of role axiom named fact_189_full__nat__induct
% 0.62/0.80  A new axiom: (forall (P:(nat->Prop)) (N:nat), ((forall (N3:nat), ((forall (M2:nat), (((ord_less_eq_nat (suc M2)) N3)->(P M2)))->(P N3)))->(P N)))
% 0.62/0.80  FOF formula (forall (M:nat) (N:nat), (((eq Prop) (((ord_less_eq_nat M) N)->False)) ((ord_less_eq_nat (suc N)) M))) of role axiom named fact_190_not__less__eq__eq
% 0.62/0.80  A new axiom: (forall (M:nat) (N:nat), (((eq Prop) (((ord_less_eq_nat M) N)->False)) ((ord_less_eq_nat (suc N)) M)))
% 0.62/0.80  FOF formula (forall (N:nat), (((ord_less_eq_nat (suc N)) N)->False)) of role axiom named fact_191_Suc__n__not__le__n
% 0.62/0.80  A new axiom: (forall (N:nat), (((ord_less_eq_nat (suc N)) N)->False))
% 0.62/0.80  FOF formula (forall (M:nat) (N:nat), (((eq Prop) ((ord_less_eq_nat M) (suc N))) ((or ((ord_less_eq_nat M) N)) (((eq nat) M) (suc N))))) of role axiom named fact_192_le__Suc__eq
% 0.62/0.80  A new axiom: (forall (M:nat) (N:nat), (((eq Prop) ((ord_less_eq_nat M) (suc N))) ((or ((ord_less_eq_nat M) N)) (((eq nat) M) (suc N)))))
% 0.62/0.80  FOF formula (forall (N:nat) (M3:nat), (((ord_less_eq_nat (suc N)) M3)->((ex nat) (fun (M4:nat)=> (((eq nat) M3) (suc M4)))))) of role axiom named fact_193_Suc__le__D
% 0.62/0.80  A new axiom: (forall (N:nat) (M3:nat), (((ord_less_eq_nat (suc N)) M3)->((ex nat) (fun (M4:nat)=> (((eq nat) M3) (suc M4))))))
% 0.62/0.80  FOF formula (forall (M:nat) (N:nat), (((ord_less_eq_nat M) N)->((ord_less_eq_nat M) (suc N)))) of role axiom named fact_194_le__SucI
% 0.62/0.80  A new axiom: (forall (M:nat) (N:nat), (((ord_less_eq_nat M) N)->((ord_less_eq_nat M) (suc N))))
% 0.62/0.80  FOF formula (forall (M:nat) (N:nat), (((ord_less_eq_nat M) (suc N))->((((ord_less_eq_nat M) N)->False)->(((eq nat) M) (suc N))))) of role axiom named fact_195_le__SucE
% 0.62/0.80  A new axiom: (forall (M:nat) (N:nat), (((ord_less_eq_nat M) (suc N))->((((ord_less_eq_nat M) N)->False)->(((eq nat) M) (suc N)))))
% 0.62/0.80  FOF formula (forall (M:nat) (N:nat), (((ord_less_eq_nat (suc M)) N)->((ord_less_eq_nat M) N))) of role axiom named fact_196_Suc__leD
% 0.62/0.80  A new axiom: (forall (M:nat) (N:nat), (((ord_less_eq_nat (suc M)) N)->((ord_less_eq_nat M) N)))
% 0.62/0.80  FOF formula (forall (A:int) (N:nat), (((ord_less_eq_int one_one_int) A)->((ord_less_eq_int one_one_int) ((power_power_int A) N)))) of role axiom named fact_197_one__le__power
% 0.62/0.80  A new axiom: (forall (A:int) (N:nat), (((ord_less_eq_int one_one_int) A)->((ord_less_eq_int one_one_int) ((power_power_int A) N))))
% 0.62/0.80  FOF formula (forall (A:nat) (N:nat), (((ord_less_eq_nat one_one_nat) A)->((ord_less_eq_nat one_one_nat) ((power_power_nat A) N)))) of role axiom named fact_198_one__le__power
% 0.62/0.80  A new axiom: (forall (A:nat) (N:nat), (((ord_less_eq_nat one_one_nat) A)->((ord_less_eq_nat one_one_nat) ((power_power_nat A) N))))
% 0.62/0.80  FOF formula (forall (A:real) (N:nat), (((ord_less_eq_real one_one_real) A)->((ord_less_eq_real one_one_real) ((power_power_real A) N)))) of role axiom named fact_199_one__le__power
% 0.62/0.80  A new axiom: (forall (A:real) (N:nat), (((ord_less_eq_real one_one_real) A)->((ord_less_eq_real one_one_real) ((power_power_real A) N))))
% 0.62/0.80  FOF formula (forall (F:(nat->int)) (N:nat) (N4:nat), ((forall (N3:nat), ((ord_less_eq_int (F (suc N3))) (F N3)))->(((ord_less_eq_nat N) N4)->((ord_less_eq_int (F N4)) (F N))))) of role axiom named fact_200_lift__Suc__antimono__le
% 0.62/0.80  A new axiom: (forall (F:(nat->int)) (N:nat) (N4:nat), ((forall (N3:nat), ((ord_less_eq_int (F (suc N3))) (F N3)))->(((ord_less_eq_nat N) N4)->((ord_less_eq_int (F N4)) (F N)))))
% 0.62/0.80  FOF formula (forall (F:(nat->nat)) (N:nat) (N4:nat), ((forall (N3:nat), ((ord_less_eq_nat (F (suc N3))) (F N3)))->(((ord_less_eq_nat N) N4)->((ord_less_eq_nat (F N4)) (F N))))) of role axiom named fact_201_lift__Suc__antimono__le
% 0.62/0.80  A new axiom: (forall (F:(nat->nat)) (N:nat) (N4:nat), ((forall (N3:nat), ((ord_less_eq_nat (F (suc N3))) (F N3)))->(((ord_less_eq_nat N) N4)->((ord_less_eq_nat (F N4)) (F N)))))
% 0.62/0.80  FOF formula (forall (F:(nat->real)) (N:nat) (N4:nat), ((forall (N3:nat), ((ord_less_eq_real (F (suc N3))) (F N3)))->(((ord_less_eq_nat N) N4)->((ord_less_eq_real (F N4)) (F N))))) of role axiom named fact_202_lift__Suc__antimono__le
% 0.62/0.81  A new axiom: (forall (F:(nat->real)) (N:nat) (N4:nat), ((forall (N3:nat), ((ord_less_eq_real (F (suc N3))) (F N3)))->(((ord_less_eq_nat N) N4)->((ord_less_eq_real (F N4)) (F N)))))
% 0.62/0.81  FOF formula (forall (F:(nat->num)) (N:nat) (N4:nat), ((forall (N3:nat), ((ord_less_eq_num (F (suc N3))) (F N3)))->(((ord_less_eq_nat N) N4)->((ord_less_eq_num (F N4)) (F N))))) of role axiom named fact_203_lift__Suc__antimono__le
% 0.62/0.81  A new axiom: (forall (F:(nat->num)) (N:nat) (N4:nat), ((forall (N3:nat), ((ord_less_eq_num (F (suc N3))) (F N3)))->(((ord_less_eq_nat N) N4)->((ord_less_eq_num (F N4)) (F N)))))
% 0.62/0.81  FOF formula (forall (F:(nat->int)) (N:nat) (N4:nat), ((forall (N3:nat), ((ord_less_eq_int (F N3)) (F (suc N3))))->(((ord_less_eq_nat N) N4)->((ord_less_eq_int (F N)) (F N4))))) of role axiom named fact_204_lift__Suc__mono__le
% 0.62/0.81  A new axiom: (forall (F:(nat->int)) (N:nat) (N4:nat), ((forall (N3:nat), ((ord_less_eq_int (F N3)) (F (suc N3))))->(((ord_less_eq_nat N) N4)->((ord_less_eq_int (F N)) (F N4)))))
% 0.62/0.81  FOF formula (forall (F:(nat->nat)) (N:nat) (N4:nat), ((forall (N3:nat), ((ord_less_eq_nat (F N3)) (F (suc N3))))->(((ord_less_eq_nat N) N4)->((ord_less_eq_nat (F N)) (F N4))))) of role axiom named fact_205_lift__Suc__mono__le
% 0.62/0.81  A new axiom: (forall (F:(nat->nat)) (N:nat) (N4:nat), ((forall (N3:nat), ((ord_less_eq_nat (F N3)) (F (suc N3))))->(((ord_less_eq_nat N) N4)->((ord_less_eq_nat (F N)) (F N4)))))
% 0.62/0.81  FOF formula (forall (F:(nat->real)) (N:nat) (N4:nat), ((forall (N3:nat), ((ord_less_eq_real (F N3)) (F (suc N3))))->(((ord_less_eq_nat N) N4)->((ord_less_eq_real (F N)) (F N4))))) of role axiom named fact_206_lift__Suc__mono__le
% 0.62/0.81  A new axiom: (forall (F:(nat->real)) (N:nat) (N4:nat), ((forall (N3:nat), ((ord_less_eq_real (F N3)) (F (suc N3))))->(((ord_less_eq_nat N) N4)->((ord_less_eq_real (F N)) (F N4)))))
% 0.62/0.81  FOF formula (forall (F:(nat->num)) (N:nat) (N4:nat), ((forall (N3:nat), ((ord_less_eq_num (F N3)) (F (suc N3))))->(((ord_less_eq_nat N) N4)->((ord_less_eq_num (F N)) (F N4))))) of role axiom named fact_207_lift__Suc__mono__le
% 0.62/0.81  A new axiom: (forall (F:(nat->num)) (N:nat) (N4:nat), ((forall (N3:nat), ((ord_less_eq_num (F N3)) (F (suc N3))))->(((ord_less_eq_nat N) N4)->((ord_less_eq_num (F N)) (F N4)))))
% 0.62/0.81  FOF formula (forall (A:real) (B:real) (X:real), (((ord_less_eq_real A) B)->(((ord_less_eq_real one_one_real) X)->((ord_less_eq_real ((powr_real X) A)) ((powr_real X) B))))) of role axiom named fact_208_powr__mono
% 0.62/0.81  A new axiom: (forall (A:real) (B:real) (X:real), (((ord_less_eq_real A) B)->(((ord_less_eq_real one_one_real) X)->((ord_less_eq_real ((powr_real X) A)) ((powr_real X) B)))))
% 0.62/0.81  FOF formula (forall (N:nat) (N5:nat) (A:int), (((ord_less_eq_nat N) N5)->(((ord_less_eq_int one_one_int) A)->((ord_less_eq_int ((power_power_int A) N)) ((power_power_int A) N5))))) of role axiom named fact_209_power__increasing
% 0.62/0.81  A new axiom: (forall (N:nat) (N5:nat) (A:int), (((ord_less_eq_nat N) N5)->(((ord_less_eq_int one_one_int) A)->((ord_less_eq_int ((power_power_int A) N)) ((power_power_int A) N5)))))
% 0.62/0.81  FOF formula (forall (N:nat) (N5:nat) (A:nat), (((ord_less_eq_nat N) N5)->(((ord_less_eq_nat one_one_nat) A)->((ord_less_eq_nat ((power_power_nat A) N)) ((power_power_nat A) N5))))) of role axiom named fact_210_power__increasing
% 0.62/0.81  A new axiom: (forall (N:nat) (N5:nat) (A:nat), (((ord_less_eq_nat N) N5)->(((ord_less_eq_nat one_one_nat) A)->((ord_less_eq_nat ((power_power_nat A) N)) ((power_power_nat A) N5)))))
% 0.62/0.81  FOF formula (forall (N:nat) (N5:nat) (A:real), (((ord_less_eq_nat N) N5)->(((ord_less_eq_real one_one_real) A)->((ord_less_eq_real ((power_power_real A) N)) ((power_power_real A) N5))))) of role axiom named fact_211_power__increasing
% 0.62/0.81  A new axiom: (forall (N:nat) (N5:nat) (A:real), (((ord_less_eq_nat N) N5)->(((ord_less_eq_real one_one_real) A)->((ord_less_eq_real ((power_power_real A) N)) ((power_power_real A) N5)))))
% 0.62/0.81  FOF formula (((eq int) ((power_power_int one_one_int) (numeral_numeral_nat (bit0 one)))) one_one_int) of role axiom named fact_212_one__power2
% 0.62/0.81  A new axiom: (((eq int) ((power_power_int one_one_int) (numeral_numeral_nat (bit0 one)))) one_one_int)
% 0.62/0.82  FOF formula (((eq nat) ((power_power_nat one_one_nat) (numeral_numeral_nat (bit0 one)))) one_one_nat) of role axiom named fact_213_one__power2
% 0.62/0.82  A new axiom: (((eq nat) ((power_power_nat one_one_nat) (numeral_numeral_nat (bit0 one)))) one_one_nat)
% 0.62/0.82  FOF formula (((eq real) ((power_power_real one_one_real) (numeral_numeral_nat (bit0 one)))) one_one_real) of role axiom named fact_214_one__power2
% 0.62/0.82  A new axiom: (((eq real) ((power_power_real one_one_real) (numeral_numeral_nat (bit0 one)))) one_one_real)
% 0.62/0.82  FOF formula (((eq int) (neg_numeral_dbl_int one_one_int)) (numeral_numeral_int (bit0 one))) of role axiom named fact_215_dbl__simps_I3_J
% 0.62/0.82  A new axiom: (((eq int) (neg_numeral_dbl_int one_one_int)) (numeral_numeral_int (bit0 one)))
% 0.62/0.82  FOF formula (((eq real) (neg_numeral_dbl_real one_one_real)) (numeral_numeral_real (bit0 one))) of role axiom named fact_216_dbl__simps_I3_J
% 0.62/0.82  A new axiom: (((eq real) (neg_numeral_dbl_real one_one_real)) (numeral_numeral_real (bit0 one)))
% 0.62/0.82  FOF formula (forall (K:num) (L:num), (((eq int) ((power_power_int (numeral_numeral_int K)) (numeral_numeral_nat L))) (numeral_numeral_int ((pow K) L)))) of role axiom named fact_217_power__numeral
% 0.62/0.82  A new axiom: (forall (K:num) (L:num), (((eq int) ((power_power_int (numeral_numeral_int K)) (numeral_numeral_nat L))) (numeral_numeral_int ((pow K) L))))
% 0.62/0.82  FOF formula (forall (K:num) (L:num), (((eq real) ((power_power_real (numeral_numeral_real K)) (numeral_numeral_nat L))) (numeral_numeral_real ((pow K) L)))) of role axiom named fact_218_power__numeral
% 0.62/0.82  A new axiom: (forall (K:num) (L:num), (((eq real) ((power_power_real (numeral_numeral_real K)) (numeral_numeral_nat L))) (numeral_numeral_real ((pow K) L))))
% 0.62/0.82  FOF formula (forall (K:num) (L:num), (((eq nat) ((power_power_nat (numeral_numeral_nat K)) (numeral_numeral_nat L))) (numeral_numeral_nat ((pow K) L)))) of role axiom named fact_219_power__numeral
% 0.62/0.82  A new axiom: (forall (K:num) (L:num), (((eq nat) ((power_power_nat (numeral_numeral_nat K)) (numeral_numeral_nat L))) (numeral_numeral_nat ((pow K) L))))
% 0.62/0.82  FOF formula (forall (X:int), ((ord_less_eq_int X) X)) of role axiom named fact_220_order__refl
% 0.62/0.82  A new axiom: (forall (X:int), ((ord_less_eq_int X) X))
% 0.62/0.82  FOF formula (forall (X:nat), ((ord_less_eq_nat X) X)) of role axiom named fact_221_order__refl
% 0.62/0.82  A new axiom: (forall (X:nat), ((ord_less_eq_nat X) X))
% 0.62/0.82  FOF formula (forall (X:real), ((ord_less_eq_real X) X)) of role axiom named fact_222_order__refl
% 0.62/0.82  A new axiom: (forall (X:real), ((ord_less_eq_real X) X))
% 0.62/0.82  FOF formula (forall (X:num), ((ord_less_eq_num X) X)) of role axiom named fact_223_order__refl
% 0.62/0.82  A new axiom: (forall (X:num), ((ord_less_eq_num X) X))
% 0.62/0.82  FOF formula (forall (X:real) (N:num), (((ord_less_eq_real zero_zero_real) X)->(((eq real) ((powr_real X) (numeral_numeral_real N))) ((power_power_real X) (numeral_numeral_nat N))))) of role axiom named fact_224_powr__numeral
% 0.62/0.82  A new axiom: (forall (X:real) (N:num), (((ord_less_eq_real zero_zero_real) X)->(((eq real) ((powr_real X) (numeral_numeral_real N))) ((power_power_real X) (numeral_numeral_nat N)))))
% 0.62/0.82  FOF formula (forall (X:int) (Y:int), (((ord_less_eq_int zero_zero_int) X)->(((ord_less_eq_int zero_zero_int) Y)->(((eq Prop) (((eq int) ((power_power_int X) (numeral_numeral_nat (bit0 one)))) ((power_power_int Y) (numeral_numeral_nat (bit0 one))))) (((eq int) X) Y))))) of role axiom named fact_225_power2__eq__iff__nonneg
% 0.62/0.82  A new axiom: (forall (X:int) (Y:int), (((ord_less_eq_int zero_zero_int) X)->(((ord_less_eq_int zero_zero_int) Y)->(((eq Prop) (((eq int) ((power_power_int X) (numeral_numeral_nat (bit0 one)))) ((power_power_int Y) (numeral_numeral_nat (bit0 one))))) (((eq int) X) Y)))))
% 0.62/0.82  FOF formula (forall (X:nat) (Y:nat), (((ord_less_eq_nat zero_zero_nat) X)->(((ord_less_eq_nat zero_zero_nat) Y)->(((eq Prop) (((eq nat) ((power_power_nat X) (numeral_numeral_nat (bit0 one)))) ((power_power_nat Y) (numeral_numeral_nat (bit0 one))))) (((eq nat) X) Y))))) of role axiom named fact_226_power2__eq__iff__nonneg
% 0.62/0.82  A new axiom: (forall (X:nat) (Y:nat), (((ord_less_eq_nat zero_zero_nat) X)->(((ord_less_eq_nat zero_zero_nat) Y)->(((eq Prop) (((eq nat) ((power_power_nat X) (numeral_numeral_nat (bit0 one)))) ((power_power_nat Y) (numeral_numeral_nat (bit0 one))))) (((eq nat) X) Y)))))
% 0.62/0.83  FOF formula (forall (X:real) (Y:real), (((ord_less_eq_real zero_zero_real) X)->(((ord_less_eq_real zero_zero_real) Y)->(((eq Prop) (((eq real) ((power_power_real X) (numeral_numeral_nat (bit0 one)))) ((power_power_real Y) (numeral_numeral_nat (bit0 one))))) (((eq real) X) Y))))) of role axiom named fact_227_power2__eq__iff__nonneg
% 0.62/0.83  A new axiom: (forall (X:real) (Y:real), (((ord_less_eq_real zero_zero_real) X)->(((ord_less_eq_real zero_zero_real) Y)->(((eq Prop) (((eq real) ((power_power_real X) (numeral_numeral_nat (bit0 one)))) ((power_power_real Y) (numeral_numeral_nat (bit0 one))))) (((eq real) X) Y)))))
% 0.62/0.83  FOF formula (forall (N:nat), ((ord_less_eq_nat zero_zero_nat) N)) of role axiom named fact_228_le0
% 0.62/0.83  A new axiom: (forall (N:nat), ((ord_less_eq_nat zero_zero_nat) N))
% 0.62/0.83  FOF formula (forall (A:nat), ((ord_less_eq_nat zero_zero_nat) A)) of role axiom named fact_229_bot__nat__0_Oextremum
% 0.62/0.83  A new axiom: (forall (A:nat), ((ord_less_eq_nat zero_zero_nat) A))
% 0.62/0.83  FOF formula ((ord_less_int zero_zero_int) d) of role axiom named fact_230_d_I2_J
% 0.62/0.83  A new axiom: ((ord_less_int zero_zero_int) d)
% 0.62/0.83  FOF formula (forall (N:nat), (((eq Prop) ((ord_less_eq_nat N) zero_zero_nat)) (((eq nat) N) zero_zero_nat))) of role axiom named fact_231_le__zero__eq
% 0.62/0.83  A new axiom: (forall (N:nat), (((eq Prop) ((ord_less_eq_nat N) zero_zero_nat)) (((eq nat) N) zero_zero_nat)))
% 0.62/0.83  FOF formula (((eq nat) (semiri1382578993at_nat zero_zero_nat)) zero_zero_nat) of role axiom named fact_232_of__nat__0
% 0.62/0.83  A new axiom: (((eq nat) (semiri1382578993at_nat zero_zero_nat)) zero_zero_nat)
% 0.62/0.83  FOF formula (((eq real) (semiri2110766477t_real zero_zero_nat)) zero_zero_real) of role axiom named fact_233_of__nat__0
% 0.62/0.83  A new axiom: (((eq real) (semiri2110766477t_real zero_zero_nat)) zero_zero_real)
% 0.62/0.83  FOF formula (((eq int) (semiri2019852685at_int zero_zero_nat)) zero_zero_int) of role axiom named fact_234_of__nat__0
% 0.62/0.83  A new axiom: (((eq int) (semiri2019852685at_int zero_zero_nat)) zero_zero_int)
% 0.62/0.83  FOF formula (forall (N:nat), (((eq Prop) (((eq nat) zero_zero_nat) (semiri1382578993at_nat N))) (((eq nat) zero_zero_nat) N))) of role axiom named fact_235_of__nat__0__eq__iff
% 0.62/0.83  A new axiom: (forall (N:nat), (((eq Prop) (((eq nat) zero_zero_nat) (semiri1382578993at_nat N))) (((eq nat) zero_zero_nat) N)))
% 0.62/0.83  FOF formula (forall (N:nat), (((eq Prop) (((eq real) zero_zero_real) (semiri2110766477t_real N))) (((eq nat) zero_zero_nat) N))) of role axiom named fact_236_of__nat__0__eq__iff
% 0.62/0.83  A new axiom: (forall (N:nat), (((eq Prop) (((eq real) zero_zero_real) (semiri2110766477t_real N))) (((eq nat) zero_zero_nat) N)))
% 0.62/0.83  FOF formula (forall (N:nat), (((eq Prop) (((eq int) zero_zero_int) (semiri2019852685at_int N))) (((eq nat) zero_zero_nat) N))) of role axiom named fact_237_of__nat__0__eq__iff
% 0.62/0.83  A new axiom: (forall (N:nat), (((eq Prop) (((eq int) zero_zero_int) (semiri2019852685at_int N))) (((eq nat) zero_zero_nat) N)))
% 0.62/0.83  FOF formula (forall (M:nat), (((eq Prop) (((eq nat) (semiri1382578993at_nat M)) zero_zero_nat)) (((eq nat) M) zero_zero_nat))) of role axiom named fact_238_of__nat__eq__0__iff
% 0.62/0.83  A new axiom: (forall (M:nat), (((eq Prop) (((eq nat) (semiri1382578993at_nat M)) zero_zero_nat)) (((eq nat) M) zero_zero_nat)))
% 0.62/0.83  FOF formula (forall (M:nat), (((eq Prop) (((eq real) (semiri2110766477t_real M)) zero_zero_real)) (((eq nat) M) zero_zero_nat))) of role axiom named fact_239_of__nat__eq__0__iff
% 0.62/0.83  A new axiom: (forall (M:nat), (((eq Prop) (((eq real) (semiri2110766477t_real M)) zero_zero_real)) (((eq nat) M) zero_zero_nat)))
% 0.62/0.83  FOF formula (forall (M:nat), (((eq Prop) (((eq int) (semiri2019852685at_int M)) zero_zero_int)) (((eq nat) M) zero_zero_nat))) of role axiom named fact_240_of__nat__eq__0__iff
% 0.62/0.83  A new axiom: (forall (M:nat), (((eq Prop) (((eq int) (semiri2019852685at_int M)) zero_zero_int)) (((eq nat) M) zero_zero_nat)))
% 0.62/0.83  FOF formula (forall (A:int), (((eq int) ((power_power_int A) (suc zero_zero_nat))) A)) of role axiom named fact_241_power__Suc0__right
% 0.62/0.83  A new axiom: (forall (A:int), (((eq int) ((power_power_int A) (suc zero_zero_nat))) A))
% 0.62/0.83  FOF formula (forall (A:nat), (((eq nat) ((power_power_nat A) (suc zero_zero_nat))) A)) of role axiom named fact_242_power__Suc0__right
% 0.62/0.83  A new axiom: (forall (A:nat), (((eq nat) ((power_power_nat A) (suc zero_zero_nat))) A))
% 0.62/0.83  FOF formula (forall (A:real), (((eq real) ((power_power_real A) (suc zero_zero_nat))) A)) of role axiom named fact_243_power__Suc0__right
% 0.62/0.83  A new axiom: (forall (A:real), (((eq real) ((power_power_real A) (suc zero_zero_nat))) A))
% 0.62/0.83  FOF formula (((eq real) (ring_1_of_int_real zero_zero_int)) zero_zero_real) of role axiom named fact_244_of__int__0
% 0.62/0.83  A new axiom: (((eq real) (ring_1_of_int_real zero_zero_int)) zero_zero_real)
% 0.62/0.83  FOF formula (((eq int) (ring_1_of_int_int zero_zero_int)) zero_zero_int) of role axiom named fact_245_of__int__0
% 0.62/0.83  A new axiom: (((eq int) (ring_1_of_int_int zero_zero_int)) zero_zero_int)
% 0.62/0.83  FOF formula (forall (Z:int), (((eq Prop) (((eq real) zero_zero_real) (ring_1_of_int_real Z))) (((eq int) Z) zero_zero_int))) of role axiom named fact_246_of__int__0__eq__iff
% 0.62/0.83  A new axiom: (forall (Z:int), (((eq Prop) (((eq real) zero_zero_real) (ring_1_of_int_real Z))) (((eq int) Z) zero_zero_int)))
% 0.62/0.83  FOF formula (forall (Z:int), (((eq Prop) (((eq int) zero_zero_int) (ring_1_of_int_int Z))) (((eq int) Z) zero_zero_int))) of role axiom named fact_247_of__int__0__eq__iff
% 0.62/0.83  A new axiom: (forall (Z:int), (((eq Prop) (((eq int) zero_zero_int) (ring_1_of_int_int Z))) (((eq int) Z) zero_zero_int)))
% 0.62/0.83  FOF formula (forall (Z:int), (((eq Prop) (((eq real) (ring_1_of_int_real Z)) zero_zero_real)) (((eq int) Z) zero_zero_int))) of role axiom named fact_248_of__int__eq__0__iff
% 0.62/0.83  A new axiom: (forall (Z:int), (((eq Prop) (((eq real) (ring_1_of_int_real Z)) zero_zero_real)) (((eq int) Z) zero_zero_int)))
% 0.62/0.83  FOF formula (forall (Z:int), (((eq Prop) (((eq int) (ring_1_of_int_int Z)) zero_zero_int)) (((eq int) Z) zero_zero_int))) of role axiom named fact_249_of__int__eq__0__iff
% 0.62/0.83  A new axiom: (forall (Z:int), (((eq Prop) (((eq int) (ring_1_of_int_int Z)) zero_zero_int)) (((eq int) Z) zero_zero_int)))
% 0.62/0.83  FOF formula (forall (W:real) (Z:real), (((eq Prop) (((eq real) ((powr_real W) Z)) zero_zero_real)) (((eq real) W) zero_zero_real))) of role axiom named fact_250_powr__eq__0__iff
% 0.62/0.83  A new axiom: (forall (W:real) (Z:real), (((eq Prop) (((eq real) ((powr_real W) Z)) zero_zero_real)) (((eq real) W) zero_zero_real)))
% 0.62/0.83  FOF formula (forall (Z:real), (((eq real) ((powr_real zero_zero_real) Z)) zero_zero_real)) of role axiom named fact_251_powr__0
% 0.62/0.83  A new axiom: (forall (Z:real), (((eq real) ((powr_real zero_zero_real) Z)) zero_zero_real))
% 0.62/0.83  FOF formula (((eq int) (archim1371465213g_real zero_zero_real)) zero_zero_int) of role axiom named fact_252_ceiling__zero
% 0.62/0.83  A new axiom: (((eq int) (archim1371465213g_real zero_zero_real)) zero_zero_int)
% 0.62/0.83  FOF formula (forall (Z:int), (((ord_less_eq_int Z) zero_zero_int)->(((eq nat) (nat2 Z)) zero_zero_nat))) of role axiom named fact_253_nat__le__0
% 0.62/0.83  A new axiom: (forall (Z:int), (((ord_less_eq_int Z) zero_zero_int)->(((eq nat) (nat2 Z)) zero_zero_nat)))
% 0.62/0.83  FOF formula (forall (I2:int), (((eq Prop) (((eq nat) (nat2 I2)) zero_zero_nat)) ((ord_less_eq_int I2) zero_zero_int))) of role axiom named fact_254_nat__0__iff
% 0.62/0.83  A new axiom: (forall (I2:int), (((eq Prop) (((eq nat) (nat2 I2)) zero_zero_nat)) ((ord_less_eq_int I2) zero_zero_int)))
% 0.62/0.83  FOF formula (forall (N:nat), (((eq nat) ((power_power_nat (suc zero_zero_nat)) N)) (suc zero_zero_nat))) of role axiom named fact_255_power__Suc__0
% 0.62/0.83  A new axiom: (forall (N:nat), (((eq nat) ((power_power_nat (suc zero_zero_nat)) N)) (suc zero_zero_nat)))
% 0.62/0.83  FOF formula (forall (X:nat) (M:nat), (((eq Prop) (((eq nat) ((power_power_nat X) M)) (suc zero_zero_nat))) ((or (((eq nat) M) zero_zero_nat)) (((eq nat) X) (suc zero_zero_nat))))) of role axiom named fact_256_nat__power__eq__Suc__0__iff
% 0.62/0.83  A new axiom: (forall (X:nat) (M:nat), (((eq Prop) (((eq nat) ((power_power_nat X) M)) (suc zero_zero_nat))) ((or (((eq nat) M) zero_zero_nat)) (((eq nat) X) (suc zero_zero_nat)))))
% 0.62/0.83  FOF formula (forall (N:nat), (((eq nat) (nat2 (semiri2019852685at_int N))) N)) of role axiom named fact_257_nat__int
% 0.70/0.84  A new axiom: (forall (N:nat), (((eq nat) (nat2 (semiri2019852685at_int N))) N))
% 0.70/0.84  FOF formula (((eq real) (neg_numeral_dbl_real zero_zero_real)) zero_zero_real) of role axiom named fact_258_dbl__simps_I2_J
% 0.70/0.84  A new axiom: (((eq real) (neg_numeral_dbl_real zero_zero_real)) zero_zero_real)
% 0.70/0.84  FOF formula (((eq int) (neg_numeral_dbl_int zero_zero_int)) zero_zero_int) of role axiom named fact_259_dbl__simps_I2_J
% 0.70/0.84  A new axiom: (((eq int) (neg_numeral_dbl_int zero_zero_int)) zero_zero_int)
% 0.70/0.84  FOF formula (forall (M:nat), (((eq Prop) ((ord_less_eq_int (semiri2019852685at_int M)) zero_zero_int)) (((eq nat) M) zero_zero_nat))) of role axiom named fact_260_of__nat__le__0__iff
% 0.70/0.84  A new axiom: (forall (M:nat), (((eq Prop) ((ord_less_eq_int (semiri2019852685at_int M)) zero_zero_int)) (((eq nat) M) zero_zero_nat)))
% 0.70/0.84  FOF formula (forall (M:nat), (((eq Prop) ((ord_less_eq_nat (semiri1382578993at_nat M)) zero_zero_nat)) (((eq nat) M) zero_zero_nat))) of role axiom named fact_261_of__nat__le__0__iff
% 0.70/0.84  A new axiom: (forall (M:nat), (((eq Prop) ((ord_less_eq_nat (semiri1382578993at_nat M)) zero_zero_nat)) (((eq nat) M) zero_zero_nat)))
% 0.70/0.84  FOF formula (forall (M:nat), (((eq Prop) ((ord_less_eq_real (semiri2110766477t_real M)) zero_zero_real)) (((eq nat) M) zero_zero_nat))) of role axiom named fact_262_of__nat__le__0__iff
% 0.70/0.84  A new axiom: (forall (M:nat), (((eq Prop) ((ord_less_eq_real (semiri2110766477t_real M)) zero_zero_real)) (((eq nat) M) zero_zero_nat)))
% 0.70/0.84  FOF formula (forall (N:nat), (((eq int) ((power_power_int zero_zero_int) (suc N))) zero_zero_int)) of role axiom named fact_263_power__0__Suc
% 0.70/0.84  A new axiom: (forall (N:nat), (((eq int) ((power_power_int zero_zero_int) (suc N))) zero_zero_int))
% 0.70/0.84  FOF formula (forall (N:nat), (((eq nat) ((power_power_nat zero_zero_nat) (suc N))) zero_zero_nat)) of role axiom named fact_264_power__0__Suc
% 0.70/0.84  A new axiom: (forall (N:nat), (((eq nat) ((power_power_nat zero_zero_nat) (suc N))) zero_zero_nat))
% 0.70/0.84  FOF formula (forall (N:nat), (((eq real) ((power_power_real zero_zero_real) (suc N))) zero_zero_real)) of role axiom named fact_265_power__0__Suc
% 0.70/0.84  A new axiom: (forall (N:nat), (((eq real) ((power_power_real zero_zero_real) (suc N))) zero_zero_real))
% 0.70/0.84  FOF formula (forall (K:num), (((eq int) ((power_power_int zero_zero_int) (numeral_numeral_nat K))) zero_zero_int)) of role axiom named fact_266_power__zero__numeral
% 0.70/0.84  A new axiom: (forall (K:num), (((eq int) ((power_power_int zero_zero_int) (numeral_numeral_nat K))) zero_zero_int))
% 0.70/0.84  FOF formula (forall (K:num), (((eq nat) ((power_power_nat zero_zero_nat) (numeral_numeral_nat K))) zero_zero_nat)) of role axiom named fact_267_power__zero__numeral
% 0.70/0.84  A new axiom: (forall (K:num), (((eq nat) ((power_power_nat zero_zero_nat) (numeral_numeral_nat K))) zero_zero_nat))
% 0.70/0.84  FOF formula (forall (K:num), (((eq real) ((power_power_real zero_zero_real) (numeral_numeral_nat K))) zero_zero_real)) of role axiom named fact_268_power__zero__numeral
% 0.70/0.84  A new axiom: (forall (K:num), (((eq real) ((power_power_real zero_zero_real) (numeral_numeral_nat K))) zero_zero_real))
% 0.70/0.84  FOF formula (forall (X:real), ((and ((((eq real) X) zero_zero_real)->(((eq real) ((powr_real X) zero_zero_real)) zero_zero_real))) ((not (((eq real) X) zero_zero_real))->(((eq real) ((powr_real X) zero_zero_real)) one_one_real)))) of role axiom named fact_269_powr__zero__eq__one
% 0.70/0.84  A new axiom: (forall (X:real), ((and ((((eq real) X) zero_zero_real)->(((eq real) ((powr_real X) zero_zero_real)) zero_zero_real))) ((not (((eq real) X) zero_zero_real))->(((eq real) ((powr_real X) zero_zero_real)) one_one_real))))
% 0.70/0.84  FOF formula (forall (A:real) (X:real), (((eq Prop) ((ord_less_eq_real ((powr_real A) X)) zero_zero_real)) (((eq real) A) zero_zero_real))) of role axiom named fact_270_powr__nonneg__iff
% 0.70/0.84  A new axiom: (forall (A:real) (X:real), (((eq Prop) ((ord_less_eq_real ((powr_real A) X)) zero_zero_real)) (((eq real) A) zero_zero_real)))
% 0.70/0.84  FOF formula (((eq nat) (nat2 one_one_int)) (suc zero_zero_nat)) of role axiom named fact_271_nat__1
% 0.70/0.84  A new axiom: (((eq nat) (nat2 one_one_int)) (suc zero_zero_nat))
% 0.70/0.85  FOF formula (forall (M:nat) (V:num), (((eq Prop) (((eq int) (semiri2019852685at_int M)) (numeral_numeral_int V))) (((eq nat) M) (numeral_numeral_nat V)))) of role axiom named fact_272_int__eq__iff__numeral
% 0.70/0.85  A new axiom: (forall (M:nat) (V:num), (((eq Prop) (((eq int) (semiri2019852685at_int M)) (numeral_numeral_int V))) (((eq nat) M) (numeral_numeral_nat V))))
% 0.70/0.85  FOF formula (forall (A:real), (((eq real) ((log A) one_one_real)) zero_zero_real)) of role axiom named fact_273_log__one
% 0.70/0.85  A new axiom: (forall (A:real), (((eq real) ((log A) one_one_real)) zero_zero_real))
% 0.70/0.85  FOF formula (forall (Z:int), ((and (((ord_less_eq_int zero_zero_int) Z)->(((eq int) (semiri2019852685at_int (nat2 Z))) Z))) ((((ord_less_eq_int zero_zero_int) Z)->False)->(((eq int) (semiri2019852685at_int (nat2 Z))) zero_zero_int)))) of role axiom named fact_274_int__nat__eq
% 0.70/0.85  A new axiom: (forall (Z:int), ((and (((ord_less_eq_int zero_zero_int) Z)->(((eq int) (semiri2019852685at_int (nat2 Z))) Z))) ((((ord_less_eq_int zero_zero_int) Z)->False)->(((eq int) (semiri2019852685at_int (nat2 Z))) zero_zero_int))))
% 0.70/0.85  FOF formula (forall (K:num), (((eq int) (neg_numeral_dbl_int (numeral_numeral_int K))) (numeral_numeral_int (bit0 K)))) of role axiom named fact_275_dbl__simps_I5_J
% 0.70/0.85  A new axiom: (forall (K:num), (((eq int) (neg_numeral_dbl_int (numeral_numeral_int K))) (numeral_numeral_int (bit0 K))))
% 0.70/0.85  FOF formula (forall (K:num), (((eq real) (neg_numeral_dbl_real (numeral_numeral_real K))) (numeral_numeral_real (bit0 K)))) of role axiom named fact_276_dbl__simps_I5_J
% 0.70/0.85  A new axiom: (forall (K:num), (((eq real) (neg_numeral_dbl_real (numeral_numeral_real K))) (numeral_numeral_real (bit0 K))))
% 0.70/0.85  FOF formula (forall (Z:int), (((eq Prop) ((ord_less_eq_int zero_zero_int) (ring_1_of_int_int Z))) ((ord_less_eq_int zero_zero_int) Z))) of role axiom named fact_277_of__int__0__le__iff
% 0.70/0.85  A new axiom: (forall (Z:int), (((eq Prop) ((ord_less_eq_int zero_zero_int) (ring_1_of_int_int Z))) ((ord_less_eq_int zero_zero_int) Z)))
% 0.70/0.85  FOF formula (forall (Z:int), (((eq Prop) ((ord_less_eq_real zero_zero_real) (ring_1_of_int_real Z))) ((ord_less_eq_int zero_zero_int) Z))) of role axiom named fact_278_of__int__0__le__iff
% 0.70/0.85  A new axiom: (forall (Z:int), (((eq Prop) ((ord_less_eq_real zero_zero_real) (ring_1_of_int_real Z))) ((ord_less_eq_int zero_zero_int) Z)))
% 0.70/0.85  FOF formula (forall (Z:int), (((eq Prop) ((ord_less_eq_int (ring_1_of_int_int Z)) zero_zero_int)) ((ord_less_eq_int Z) zero_zero_int))) of role axiom named fact_279_of__int__le__0__iff
% 0.70/0.85  A new axiom: (forall (Z:int), (((eq Prop) ((ord_less_eq_int (ring_1_of_int_int Z)) zero_zero_int)) ((ord_less_eq_int Z) zero_zero_int)))
% 0.70/0.85  FOF formula (forall (Z:int), (((eq Prop) ((ord_less_eq_real (ring_1_of_int_real Z)) zero_zero_real)) ((ord_less_eq_int Z) zero_zero_int))) of role axiom named fact_280_of__int__le__0__iff
% 0.70/0.85  A new axiom: (forall (Z:int), (((eq Prop) ((ord_less_eq_real (ring_1_of_int_real Z)) zero_zero_real)) ((ord_less_eq_int Z) zero_zero_int)))
% 0.70/0.85  FOF formula (forall (X:real), (((eq Prop) ((ord_less_eq_int (archim1371465213g_real X)) zero_zero_int)) ((ord_less_eq_real X) zero_zero_real))) of role axiom named fact_281_ceiling__le__zero
% 0.70/0.85  A new axiom: (forall (X:real), (((eq Prop) ((ord_less_eq_int (archim1371465213g_real X)) zero_zero_int)) ((ord_less_eq_real X) zero_zero_real)))
% 0.70/0.85  FOF formula (forall (X:real), (((ord_less_eq_real zero_zero_real) X)->(((eq real) ((powr_real X) one_one_real)) X))) of role axiom named fact_282_powr__one
% 0.70/0.85  A new axiom: (forall (X:real), (((ord_less_eq_real zero_zero_real) X)->(((eq real) ((powr_real X) one_one_real)) X)))
% 0.70/0.85  FOF formula (forall (X:real), (((eq Prop) (((eq real) ((powr_real X) one_one_real)) X)) ((ord_less_eq_real zero_zero_real) X))) of role axiom named fact_283_powr__one__gt__zero__iff
% 0.70/0.85  A new axiom: (forall (X:real), (((eq Prop) (((eq real) ((powr_real X) one_one_real)) X)) ((ord_less_eq_real zero_zero_real) X)))
% 0.70/0.85  FOF formula (forall (Z:int), (((ord_less_eq_int zero_zero_int) Z)->(((eq real) (semiri2110766477t_real (nat2 Z))) (ring_1_of_int_real Z)))) of role axiom named fact_284_of__nat__nat
% 0.70/0.85  A new axiom: (forall (Z:int), (((ord_less_eq_int zero_zero_int) Z)->(((eq real) (semiri2110766477t_real (nat2 Z))) (ring_1_of_int_real Z))))
% 0.70/0.85  FOF formula (forall (Z:int), (((ord_less_eq_int zero_zero_int) Z)->(((eq int) (semiri2019852685at_int (nat2 Z))) (ring_1_of_int_int Z)))) of role axiom named fact_285_of__nat__nat
% 0.70/0.85  A new axiom: (forall (Z:int), (((ord_less_eq_int zero_zero_int) Z)->(((eq int) (semiri2019852685at_int (nat2 Z))) (ring_1_of_int_int Z))))
% 0.70/0.85  FOF formula (forall (A:int), (((eq Prop) (((eq int) ((power_power_int A) (numeral_numeral_nat (bit0 one)))) zero_zero_int)) (((eq int) A) zero_zero_int))) of role axiom named fact_286_zero__eq__power2
% 0.70/0.85  A new axiom: (forall (A:int), (((eq Prop) (((eq int) ((power_power_int A) (numeral_numeral_nat (bit0 one)))) zero_zero_int)) (((eq int) A) zero_zero_int)))
% 0.70/0.85  FOF formula (forall (A:nat), (((eq Prop) (((eq nat) ((power_power_nat A) (numeral_numeral_nat (bit0 one)))) zero_zero_nat)) (((eq nat) A) zero_zero_nat))) of role axiom named fact_287_zero__eq__power2
% 0.70/0.85  A new axiom: (forall (A:nat), (((eq Prop) (((eq nat) ((power_power_nat A) (numeral_numeral_nat (bit0 one)))) zero_zero_nat)) (((eq nat) A) zero_zero_nat)))
% 0.70/0.85  FOF formula (forall (A:real), (((eq Prop) (((eq real) ((power_power_real A) (numeral_numeral_nat (bit0 one)))) zero_zero_real)) (((eq real) A) zero_zero_real))) of role axiom named fact_288_zero__eq__power2
% 0.70/0.85  A new axiom: (forall (A:real), (((eq Prop) (((eq real) ((power_power_real A) (numeral_numeral_nat (bit0 one)))) zero_zero_real)) (((eq real) A) zero_zero_real)))
% 0.70/0.85  FOF formula (forall (A:int), (((eq Prop) ((ord_less_eq_int ((power_power_int A) (numeral_numeral_nat (bit0 one)))) zero_zero_int)) (((eq int) A) zero_zero_int))) of role axiom named fact_289_power2__less__eq__zero__iff
% 0.70/0.85  A new axiom: (forall (A:int), (((eq Prop) ((ord_less_eq_int ((power_power_int A) (numeral_numeral_nat (bit0 one)))) zero_zero_int)) (((eq int) A) zero_zero_int)))
% 0.70/0.85  FOF formula (forall (A:real), (((eq Prop) ((ord_less_eq_real ((power_power_real A) (numeral_numeral_nat (bit0 one)))) zero_zero_real)) (((eq real) A) zero_zero_real))) of role axiom named fact_290_power2__less__eq__zero__iff
% 0.70/0.85  A new axiom: (forall (A:real), (((eq Prop) ((ord_less_eq_real ((power_power_real A) (numeral_numeral_nat (bit0 one)))) zero_zero_real)) (((eq real) A) zero_zero_real)))
% 0.70/0.85  <<<nt @ ( if_nat @ P @ A @ B ) )
% 0.70/0.85            = ( semiri2019852685at_int @ A ) ) )
% 0.70/0.85        & ( ~ P>>>!!!<<<
% 0.70/0.85         => ( ( semiri2019852685at_int @ ( if_nat @ P @ A @ B ) )
% 0.70/0.85            = ( semiri20198>>>
% 0.70/0.85  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, 11, 22, 30, 36, 43, 50, 99, 113, 185, 229, 265, 285, 300, 221, 120, 189, 221, 124]
% 0.70/0.85  symstack=[$end, TPTP_file_pre, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, 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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, LexToken(THF,'thf',1,67447), LexToken(LPAR,'(',1,67450), name, LexToken(COMMA,',',1,67467), formula_role, LexToken(COMMA,',',1,67473), LexToken(LPAR,'(',1,67474), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,67482), thf_variable_list, LexToken(RBRACKET,']',1,67502), LexToken(COLON,':',1,67504), LexToken(LPAR,'(',1,67512), thf_unitary_formula, LexToken(AMP,'&',1,67635), LexToken(LPAR,'(',1,67637), unary_connective]
% 0.70/0.85  Unexpected exception Syntax error at 'P':UPPERWORD
% 0.70/0.85  Traceback (most recent call last):
% 0.70/0.85    File "CASC.py", line 79, in <module>
% 0.70/0.85      problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.70/0.85    File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.70/0.85      parser.parse(file.read(),debug=0,lexer=lexer)
% 0.70/0.85    File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.70/0.85      return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.70/0.85    File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.70/0.85      tok = self.errorfunc(errtoken)
% 0.70/0.85    File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.70/0.85      raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.70/0.85  TPTPparser.TPTPParsingError: Syntax error at 'P':UPPERWORD
%------------------------------------------------------------------------------