TSTP Solution File: ITP063^1 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP063^1 : TPTP v7.5.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 13:24:04 EDT 2021
% Result : Unknown 0.60s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ITP063^1 : TPTP v7.5.0. Released v7.5.0.
% 0.11/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Mar 19 05:08:21 EDT 2021
% 0.12/0.33 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.35 Python 2.7.5
% 0.46/0.63 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x184d998>, <kernel.Type object at 0x184d638>) of role type named ty_n_t__Real__Oreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring real:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1874ef0>, <kernel.Type object at 0x184dc20>) of role type named ty_n_t__Nat__Onat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x184dab8>, <kernel.DependentProduct object at 0x184dd88>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_OPC
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring genClo1161277105lle_PC:(nat->(real->real))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x184db00>, <kernel.Constant object at 0x184dd88>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_O_092_060beta_062
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring genClo1278781456e_beta:real
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x184d998>, <kernel.Constant object at 0x184dd88>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_O_092_060mu_062
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring genClo872980712lle_mu:real
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x184dab8>, <kernel.Constant object at 0x184dd88>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_O_092_060rho_062
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring genClo1144207539le_rho:real
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x184db00>, <kernel.DependentProduct object at 0x2ba972045368>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_Ocorrect
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring genClo1015804716orrect:(nat->(real->Prop))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x184d998>, <kernel.DependentProduct object at 0x2ba9720453b0>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_OokRead2
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring genClo293725282kRead2:((nat->real)->((nat->real)->(real->((nat->Prop)->Prop))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x184db00>, <kernel.Constant object at 0x2ba972045440>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_Ormax
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring genClo1650508560e_rmax:real
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x184d998>, <kernel.Constant object at 0x2ba9720452d8>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_Ormin
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring genClo1651033342e_rmin:real
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x184dd88>, <kernel.DependentProduct object at 0x2ba972045440>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_Ote
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring genClo1163638703lle_te:(nat->(nat->real))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x184dd88>, <kernel.DependentProduct object at 0x2ba9720453b0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring abs_abs_real:(real->real)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2ba9720452d8>, <kernel.DependentProduct object at 0x2ba972045488>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2ba972045440>, <kernel.DependentProduct object at 0x2ba9720453f8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring minus_minus_real:(real->(real->real))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2ba972045320>, <kernel.Constant object at 0x2ba9720453f8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring one_one_nat:nat
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2ba9720452d8>, <kernel.Constant object at 0x2ba9720453f8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring one_one_real:real
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2ba972045440>, <kernel.DependentProduct object at 0x2ba97204ac20>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2ba972045320>, <kernel.DependentProduct object at 0x2ba97204aef0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring plus_plus_real:(real->(real->real))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2ba972045440>, <kernel.DependentProduct object at 0x2ba97204ac20>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring times_times_nat:(nat->(nat->nat))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2ba972045320>, <kernel.DependentProduct object at 0x2ba97204ac20>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring times_times_real:(real->(real->real))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2ba9720453f8>, <kernel.Constant object at 0x2ba97204ac20>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring zero_zero_nat:nat
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2ba9720453f8>, <kernel.Constant object at 0x2ba97204ac20>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring zero_zero_real:real
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2ba97204ad40>, <kernel.DependentProduct object at 0x2ba972048fc8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2ba97204aef0>, <kernel.DependentProduct object at 0x2ba972048ef0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2ba97204ad40>, <kernel.Constant object at 0x2ba972048f80>) of role type named sy_v_i
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring i:nat
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2ba97204aef0>, <kernel.Constant object at 0x2ba972048248>) of role type named sy_v_l
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring l:nat
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2ba97204ac20>, <kernel.Constant object at 0x2ba972048248>) of role type named sy_v_p
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring p:nat
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2ba97204ac20>, <kernel.Constant object at 0x2ba972048248>) of role type named sy_v_q
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring q:nat
% 0.46/0.64 FOF formula (forall (P:nat) (Q:nat) (_TPTP_I:nat), (((and ((genClo1015804716orrect P) ((genClo1163638703lle_te P) _TPTP_I))) ((genClo1015804716orrect Q) ((genClo1163638703lle_te Q) _TPTP_I)))->((ord_less_eq_real (abs_abs_real ((minus_minus_real ((genClo1163638703lle_te P) _TPTP_I)) ((genClo1163638703lle_te Q) _TPTP_I)))) genClo1278781456e_beta))) of role axiom named fact_0_rts2b
% 0.46/0.64 A new axiom: (forall (P:nat) (Q:nat) (_TPTP_I:nat), (((and ((genClo1015804716orrect P) ((genClo1163638703lle_te P) _TPTP_I))) ((genClo1015804716orrect Q) ((genClo1163638703lle_te Q) _TPTP_I)))->((ord_less_eq_real (abs_abs_real ((minus_minus_real ((genClo1163638703lle_te P) _TPTP_I)) ((genClo1163638703lle_te Q) _TPTP_I)))) genClo1278781456e_beta)))
% 0.46/0.64 FOF formula ((genClo1015804716orrect p) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat))) of role axiom named fact_1_corr__p
% 0.46/0.64 A new axiom: ((genClo1015804716orrect p) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat)))
% 0.46/0.64 FOF formula ((genClo1015804716orrect q) ((genClo1163638703lle_te q) ((plus_plus_nat i) one_one_nat))) of role axiom named fact_2_corr__q__tq
% 0.46/0.64 A new axiom: ((genClo1015804716orrect q) ((genClo1163638703lle_te q) ((plus_plus_nat i) one_one_nat)))
% 0.46/0.64 FOF formula ((ord_less_eq_real ((genClo1163638703lle_te q) ((plus_plus_nat i) one_one_nat))) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat))) of role axiom named fact_3_ie
% 0.46/0.64 A new axiom: ((ord_less_eq_real ((genClo1163638703lle_te q) ((plus_plus_nat i) one_one_nat))) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat)))
% 0.46/0.64 FOF formula ((genClo1015804716orrect q) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat))) of role axiom named fact_4_corr__q
% 0.46/0.64 A new axiom: ((genClo1015804716orrect q) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat)))
% 0.46/0.64 FOF formula ((genClo1015804716orrect l) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat))) of role axiom named fact_5_corr__l
% 0.46/0.64 A new axiom: ((genClo1015804716orrect l) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat)))
% 0.46/0.64 FOF formula ((ord_less_eq_real zero_zero_real) ((minus_minus_real ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat))) ((genClo1163638703lle_te q) ((plus_plus_nat i) one_one_nat)))) of role axiom named fact_6_posD
% 0.46/0.65 A new axiom: ((ord_less_eq_real zero_zero_real) ((minus_minus_real ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat))) ((genClo1163638703lle_te q) ((plus_plus_nat i) one_one_nat))))
% 0.46/0.65 FOF formula ((genClo1015804716orrect l) ((genClo1163638703lle_te q) ((plus_plus_nat i) one_one_nat))) of role axiom named fact_7_corr__l__tq
% 0.46/0.65 A new axiom: ((genClo1015804716orrect l) ((genClo1163638703lle_te q) ((plus_plus_nat i) one_one_nat)))
% 0.46/0.65 FOF formula (forall (B:real) (A:real), (((ord_less_eq_real B) A)->(((eq real) ((plus_plus_real B) ((minus_minus_real A) B))) A))) of role axiom named fact_8_le__add__diff__inverse
% 0.46/0.65 A new axiom: (forall (B:real) (A:real), (((ord_less_eq_real B) A)->(((eq real) ((plus_plus_real B) ((minus_minus_real A) B))) A)))
% 0.46/0.65 FOF formula (forall (B:nat) (A:nat), (((ord_less_eq_nat B) A)->(((eq nat) ((plus_plus_nat B) ((minus_minus_nat A) B))) A))) of role axiom named fact_9_le__add__diff__inverse
% 0.46/0.65 A new axiom: (forall (B:nat) (A:nat), (((ord_less_eq_nat B) A)->(((eq nat) ((plus_plus_nat B) ((minus_minus_nat A) B))) A)))
% 0.46/0.65 FOF formula (forall (B:real) (A:real), (((ord_less_eq_real B) A)->(((eq real) ((plus_plus_real ((minus_minus_real A) B)) B)) A))) of role axiom named fact_10_le__add__diff__inverse2
% 0.46/0.65 A new axiom: (forall (B:real) (A:real), (((ord_less_eq_real B) A)->(((eq real) ((plus_plus_real ((minus_minus_real A) B)) B)) A)))
% 0.46/0.65 FOF formula (forall (B:nat) (A:nat), (((ord_less_eq_nat B) A)->(((eq nat) ((plus_plus_nat ((minus_minus_nat A) B)) B)) A))) of role axiom named fact_11_le__add__diff__inverse2
% 0.46/0.65 A new axiom: (forall (B:nat) (A:nat), (((ord_less_eq_nat B) A)->(((eq nat) ((plus_plus_nat ((minus_minus_nat A) B)) B)) A)))
% 0.46/0.65 FOF formula (forall (P2:nat) (I2:nat), (((genClo1015804716orrect P2) ((genClo1163638703lle_te P2) ((plus_plus_nat I2) one_one_nat)))->((ord_less_eq_real ((genClo1163638703lle_te P2) I2)) ((genClo1163638703lle_te P2) ((plus_plus_nat I2) one_one_nat))))) of role axiom named fact_12_rte
% 0.46/0.65 A new axiom: (forall (P2:nat) (I2:nat), (((genClo1015804716orrect P2) ((genClo1163638703lle_te P2) ((plus_plus_nat I2) one_one_nat)))->((ord_less_eq_real ((genClo1163638703lle_te P2) I2)) ((genClo1163638703lle_te P2) ((plus_plus_nat I2) one_one_nat)))))
% 0.46/0.65 FOF formula (((eq real) (abs_abs_real one_one_real)) one_one_real) of role axiom named fact_13_abs__1
% 0.46/0.65 A new axiom: (((eq real) (abs_abs_real one_one_real)) one_one_real)
% 0.46/0.65 FOF formula (forall (A:real) (B:real), (((eq real) (abs_abs_real ((plus_plus_real (abs_abs_real A)) (abs_abs_real B)))) ((plus_plus_real (abs_abs_real A)) (abs_abs_real B)))) of role axiom named fact_14_abs__add__abs
% 0.46/0.65 A new axiom: (forall (A:real) (B:real), (((eq real) (abs_abs_real ((plus_plus_real (abs_abs_real A)) (abs_abs_real B)))) ((plus_plus_real (abs_abs_real A)) (abs_abs_real B))))
% 0.46/0.65 FOF formula (forall (A:real) (B:real), (((eq real) ((minus_minus_real ((plus_plus_real A) B)) B)) A)) of role axiom named fact_15_add__diff__cancel
% 0.46/0.65 A new axiom: (forall (A:real) (B:real), (((eq real) ((minus_minus_real ((plus_plus_real A) B)) B)) A))
% 0.46/0.65 FOF formula (forall (A:real) (B:real), (((eq real) ((plus_plus_real ((minus_minus_real A) B)) B)) A)) of role axiom named fact_16_diff__add__cancel
% 0.46/0.65 A new axiom: (forall (A:real) (B:real), (((eq real) ((plus_plus_real ((minus_minus_real A) B)) B)) A))
% 0.46/0.65 FOF formula (forall (C:real) (A:real) (B:real), (((eq real) ((minus_minus_real ((plus_plus_real C) A)) ((plus_plus_real C) B))) ((minus_minus_real A) B))) of role axiom named fact_17_add__diff__cancel__left
% 0.46/0.65 A new axiom: (forall (C:real) (A:real) (B:real), (((eq real) ((minus_minus_real ((plus_plus_real C) A)) ((plus_plus_real C) B))) ((minus_minus_real A) B)))
% 0.46/0.65 FOF formula (forall (C:nat) (A:nat) (B:nat), (((eq nat) ((minus_minus_nat ((plus_plus_nat C) A)) ((plus_plus_nat C) B))) ((minus_minus_nat A) B))) of role axiom named fact_18_add__diff__cancel__left
% 0.46/0.65 A new axiom: (forall (C:nat) (A:nat) (B:nat), (((eq nat) ((minus_minus_nat ((plus_plus_nat C) A)) ((plus_plus_nat C) B))) ((minus_minus_nat A) B)))
% 0.46/0.66 FOF formula (forall (A:real) (B:real), (((eq real) ((minus_minus_real ((plus_plus_real A) B)) A)) B)) of role axiom named fact_19_add__diff__cancel__left_H
% 0.46/0.66 A new axiom: (forall (A:real) (B:real), (((eq real) ((minus_minus_real ((plus_plus_real A) B)) A)) B))
% 0.46/0.66 FOF formula (forall (A:nat) (B:nat), (((eq nat) ((minus_minus_nat ((plus_plus_nat A) B)) A)) B)) of role axiom named fact_20_add__diff__cancel__left_H
% 0.46/0.66 A new axiom: (forall (A:nat) (B:nat), (((eq nat) ((minus_minus_nat ((plus_plus_nat A) B)) A)) B))
% 0.46/0.66 FOF formula (forall (A:real) (C:real) (B:real), (((eq real) ((minus_minus_real ((plus_plus_real A) C)) ((plus_plus_real B) C))) ((minus_minus_real A) B))) of role axiom named fact_21_add__diff__cancel__right
% 0.46/0.66 A new axiom: (forall (A:real) (C:real) (B:real), (((eq real) ((minus_minus_real ((plus_plus_real A) C)) ((plus_plus_real B) C))) ((minus_minus_real A) B)))
% 0.46/0.66 FOF formula (forall (A:nat) (C:nat) (B:nat), (((eq nat) ((minus_minus_nat ((plus_plus_nat A) C)) ((plus_plus_nat B) C))) ((minus_minus_nat A) B))) of role axiom named fact_22_add__diff__cancel__right
% 0.46/0.66 A new axiom: (forall (A:nat) (C:nat) (B:nat), (((eq nat) ((minus_minus_nat ((plus_plus_nat A) C)) ((plus_plus_nat B) C))) ((minus_minus_nat A) B)))
% 0.46/0.66 FOF formula (forall (B:nat) (A:nat) (C:nat), (((eq Prop) (((eq nat) ((plus_plus_nat B) A)) ((plus_plus_nat C) A))) (((eq nat) B) C))) of role axiom named fact_23_add__right__cancel
% 0.46/0.66 A new axiom: (forall (B:nat) (A:nat) (C:nat), (((eq Prop) (((eq nat) ((plus_plus_nat B) A)) ((plus_plus_nat C) A))) (((eq nat) B) C)))
% 0.46/0.66 FOF formula (forall (B:real) (A:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real B) A)) ((plus_plus_real C) A))) (((eq real) B) C))) of role axiom named fact_24_add__right__cancel
% 0.46/0.66 A new axiom: (forall (B:real) (A:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real B) A)) ((plus_plus_real C) A))) (((eq real) B) C)))
% 0.46/0.66 FOF formula (forall (A:nat) (B:nat) (C:nat), (((eq Prop) (((eq nat) ((plus_plus_nat A) B)) ((plus_plus_nat A) C))) (((eq nat) B) C))) of role axiom named fact_25_add__left__cancel
% 0.46/0.66 A new axiom: (forall (A:nat) (B:nat) (C:nat), (((eq Prop) (((eq nat) ((plus_plus_nat A) B)) ((plus_plus_nat A) C))) (((eq nat) B) C)))
% 0.46/0.66 FOF formula (forall (A:real) (B:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real A) B)) ((plus_plus_real A) C))) (((eq real) B) C))) of role axiom named fact_26_add__left__cancel
% 0.46/0.66 A new axiom: (forall (A:real) (B:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real A) B)) ((plus_plus_real A) C))) (((eq real) B) C)))
% 0.46/0.66 FOF formula (forall (A:real), (((eq real) (abs_abs_real (abs_abs_real A))) (abs_abs_real A))) of role axiom named fact_27_abs__idempotent
% 0.46/0.66 A new axiom: (forall (A:real), (((eq real) (abs_abs_real (abs_abs_real A))) (abs_abs_real A)))
% 0.46/0.66 FOF formula (forall (A:real), (((eq real) (abs_abs_real (abs_abs_real A))) (abs_abs_real A))) of role axiom named fact_28_abs__abs
% 0.46/0.66 A new axiom: (forall (A:real), (((eq real) (abs_abs_real (abs_abs_real A))) (abs_abs_real A)))
% 0.46/0.66 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_29_le__zero__eq
% 0.46/0.66 A new axiom: (forall (N:nat), (((eq Prop) ((ord_less_eq_nat N) zero_zero_nat)) (((eq nat) N) zero_zero_nat)))
% 0.46/0.66 FOF formula (forall (A:real) (C:real) (B:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real A) C)) ((plus_plus_real B) C))) ((ord_less_eq_real A) B))) of role axiom named fact_30_add__le__cancel__right
% 0.46/0.66 A new axiom: (forall (A:real) (C:real) (B:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real A) C)) ((plus_plus_real B) C))) ((ord_less_eq_real A) B)))
% 0.46/0.66 FOF formula (forall (A:nat) (C:nat) (B:nat), (((eq Prop) ((ord_less_eq_nat ((plus_plus_nat A) C)) ((plus_plus_nat B) C))) ((ord_less_eq_nat A) B))) of role axiom named fact_31_add__le__cancel__right
% 0.46/0.66 A new axiom: (forall (A:nat) (C:nat) (B:nat), (((eq Prop) ((ord_less_eq_nat ((plus_plus_nat A) C)) ((plus_plus_nat B) C))) ((ord_less_eq_nat A) B)))
% 0.46/0.66 FOF formula (forall (C:real) (A:real) (B:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real C) A)) ((plus_plus_real C) B))) ((ord_less_eq_real A) B))) of role axiom named fact_32_add__le__cancel__left
% 0.46/0.68 A new axiom: (forall (C:real) (A:real) (B:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real C) A)) ((plus_plus_real C) B))) ((ord_less_eq_real A) B)))
% 0.46/0.68 FOF formula (forall (C:nat) (A:nat) (B:nat), (((eq Prop) ((ord_less_eq_nat ((plus_plus_nat C) A)) ((plus_plus_nat C) B))) ((ord_less_eq_nat A) B))) of role axiom named fact_33_add__le__cancel__left
% 0.46/0.68 A new axiom: (forall (C:nat) (A:nat) (B:nat), (((eq Prop) ((ord_less_eq_nat ((plus_plus_nat C) A)) ((plus_plus_nat C) B))) ((ord_less_eq_nat A) B)))
% 0.46/0.68 FOF formula (forall (X:nat) (Y:nat), (((eq Prop) (((eq nat) zero_zero_nat) ((plus_plus_nat X) Y))) ((and (((eq nat) X) zero_zero_nat)) (((eq nat) Y) zero_zero_nat)))) of role axiom named fact_34_zero__eq__add__iff__both__eq__0
% 0.46/0.68 A new axiom: (forall (X:nat) (Y:nat), (((eq Prop) (((eq nat) zero_zero_nat) ((plus_plus_nat X) Y))) ((and (((eq nat) X) zero_zero_nat)) (((eq nat) Y) zero_zero_nat))))
% 0.46/0.68 FOF formula (forall (X:nat) (Y:nat), (((eq Prop) (((eq nat) ((plus_plus_nat X) Y)) zero_zero_nat)) ((and (((eq nat) X) zero_zero_nat)) (((eq nat) Y) zero_zero_nat)))) of role axiom named fact_35_add__eq__0__iff__both__eq__0
% 0.46/0.68 A new axiom: (forall (X:nat) (Y:nat), (((eq Prop) (((eq nat) ((plus_plus_nat X) Y)) zero_zero_nat)) ((and (((eq nat) X) zero_zero_nat)) (((eq nat) Y) zero_zero_nat))))
% 0.46/0.68 FOF formula (forall (A:real) (B:real), (((eq Prop) (((eq real) A) ((plus_plus_real A) B))) (((eq real) B) zero_zero_real))) of role axiom named fact_36_add__cancel__right__right
% 0.46/0.68 A new axiom: (forall (A:real) (B:real), (((eq Prop) (((eq real) A) ((plus_plus_real A) B))) (((eq real) B) zero_zero_real)))
% 0.46/0.68 FOF formula (forall (A:nat) (B:nat), (((eq Prop) (((eq nat) A) ((plus_plus_nat A) B))) (((eq nat) B) zero_zero_nat))) of role axiom named fact_37_add__cancel__right__right
% 0.46/0.68 A new axiom: (forall (A:nat) (B:nat), (((eq Prop) (((eq nat) A) ((plus_plus_nat A) B))) (((eq nat) B) zero_zero_nat)))
% 0.46/0.68 FOF formula (forall (A:real) (B:real), (((eq Prop) (((eq real) A) ((plus_plus_real B) A))) (((eq real) B) zero_zero_real))) of role axiom named fact_38_add__cancel__right__left
% 0.46/0.68 A new axiom: (forall (A:real) (B:real), (((eq Prop) (((eq real) A) ((plus_plus_real B) A))) (((eq real) B) zero_zero_real)))
% 0.46/0.68 FOF formula (forall (A:nat) (B:nat), (((eq Prop) (((eq nat) A) ((plus_plus_nat B) A))) (((eq nat) B) zero_zero_nat))) of role axiom named fact_39_add__cancel__right__left
% 0.46/0.68 A new axiom: (forall (A:nat) (B:nat), (((eq Prop) (((eq nat) A) ((plus_plus_nat B) A))) (((eq nat) B) zero_zero_nat)))
% 0.46/0.68 FOF formula (forall (A:real) (B:real), (((eq Prop) (((eq real) ((plus_plus_real A) B)) A)) (((eq real) B) zero_zero_real))) of role axiom named fact_40_add__cancel__left__right
% 0.46/0.68 A new axiom: (forall (A:real) (B:real), (((eq Prop) (((eq real) ((plus_plus_real A) B)) A)) (((eq real) B) zero_zero_real)))
% 0.46/0.68 FOF formula (forall (A:nat) (B:nat), (((eq Prop) (((eq nat) ((plus_plus_nat A) B)) A)) (((eq nat) B) zero_zero_nat))) of role axiom named fact_41_add__cancel__left__right
% 0.46/0.68 A new axiom: (forall (A:nat) (B:nat), (((eq Prop) (((eq nat) ((plus_plus_nat A) B)) A)) (((eq nat) B) zero_zero_nat)))
% 0.46/0.68 FOF formula (forall (B:real) (A:real), (((eq Prop) (((eq real) ((plus_plus_real B) A)) A)) (((eq real) B) zero_zero_real))) of role axiom named fact_42_add__cancel__left__left
% 0.46/0.68 A new axiom: (forall (B:real) (A:real), (((eq Prop) (((eq real) ((plus_plus_real B) A)) A)) (((eq real) B) zero_zero_real)))
% 0.46/0.68 FOF formula (forall (B:nat) (A:nat), (((eq Prop) (((eq nat) ((plus_plus_nat B) A)) A)) (((eq nat) B) zero_zero_nat))) of role axiom named fact_43_add__cancel__left__left
% 0.46/0.68 A new axiom: (forall (B:nat) (A:nat), (((eq Prop) (((eq nat) ((plus_plus_nat B) A)) A)) (((eq nat) B) zero_zero_nat)))
% 0.46/0.68 FOF formula (forall (A:real), (((eq Prop) (((eq real) zero_zero_real) ((plus_plus_real A) A))) (((eq real) A) zero_zero_real))) of role axiom named fact_44_double__zero__sym
% 0.46/0.68 A new axiom: (forall (A:real), (((eq Prop) (((eq real) zero_zero_real) ((plus_plus_real A) A))) (((eq real) A) zero_zero_real)))
% 0.46/0.68 FOF formula (forall (A:real), (((eq Prop) (((eq real) ((plus_plus_real A) A)) zero_zero_real)) (((eq real) A) zero_zero_real))) of role axiom named fact_45_double__zero
% 0.46/0.69 A new axiom: (forall (A:real), (((eq Prop) (((eq real) ((plus_plus_real A) A)) zero_zero_real)) (((eq real) A) zero_zero_real)))
% 0.46/0.69 FOF formula (forall (A:real), (((eq real) ((plus_plus_real A) zero_zero_real)) A)) of role axiom named fact_46_add_Oright__neutral
% 0.46/0.69 A new axiom: (forall (A:real), (((eq real) ((plus_plus_real A) zero_zero_real)) A))
% 0.46/0.69 FOF formula (forall (A:nat), (((eq nat) ((plus_plus_nat A) zero_zero_nat)) A)) of role axiom named fact_47_add_Oright__neutral
% 0.46/0.69 A new axiom: (forall (A:nat), (((eq nat) ((plus_plus_nat A) zero_zero_nat)) A))
% 0.46/0.69 FOF formula (forall (A:real), (((eq real) ((plus_plus_real zero_zero_real) A)) A)) of role axiom named fact_48_add_Oleft__neutral
% 0.46/0.69 A new axiom: (forall (A:real), (((eq real) ((plus_plus_real zero_zero_real) A)) A))
% 0.46/0.69 FOF formula (forall (A:nat), (((eq nat) ((plus_plus_nat zero_zero_nat) A)) A)) of role axiom named fact_49_add_Oleft__neutral
% 0.46/0.69 A new axiom: (forall (A:nat), (((eq nat) ((plus_plus_nat zero_zero_nat) A)) A))
% 0.46/0.69 FOF formula (forall (A:real), (((eq real) ((minus_minus_real A) A)) zero_zero_real)) of role axiom named fact_50_cancel__comm__monoid__add__class_Odiff__cancel
% 0.46/0.69 A new axiom: (forall (A:real), (((eq real) ((minus_minus_real A) A)) zero_zero_real))
% 0.46/0.69 FOF formula (forall (A:nat), (((eq nat) ((minus_minus_nat A) A)) zero_zero_nat)) of role axiom named fact_51_cancel__comm__monoid__add__class_Odiff__cancel
% 0.46/0.69 A new axiom: (forall (A:nat), (((eq nat) ((minus_minus_nat A) A)) zero_zero_nat))
% 0.46/0.69 FOF formula (forall (A:real), (((eq real) ((minus_minus_real A) zero_zero_real)) A)) of role axiom named fact_52_diff__zero
% 0.46/0.69 A new axiom: (forall (A:real), (((eq real) ((minus_minus_real A) zero_zero_real)) A))
% 0.46/0.69 FOF formula (forall (A:nat), (((eq nat) ((minus_minus_nat A) zero_zero_nat)) A)) of role axiom named fact_53_diff__zero
% 0.46/0.69 A new axiom: (forall (A:nat), (((eq nat) ((minus_minus_nat A) zero_zero_nat)) A))
% 0.46/0.69 FOF formula (forall (A:nat), (((eq nat) ((minus_minus_nat zero_zero_nat) A)) zero_zero_nat)) of role axiom named fact_54_zero__diff
% 0.46/0.69 A new axiom: (forall (A:nat), (((eq nat) ((minus_minus_nat zero_zero_nat) A)) zero_zero_nat))
% 0.46/0.69 FOF formula (forall (A:real), (((eq real) ((minus_minus_real A) zero_zero_real)) A)) of role axiom named fact_55_diff__0__right
% 0.46/0.69 A new axiom: (forall (A:real), (((eq real) ((minus_minus_real A) zero_zero_real)) A))
% 0.46/0.69 FOF formula (forall (A:real), (((eq real) ((minus_minus_real A) A)) zero_zero_real)) of role axiom named fact_56_diff__self
% 0.46/0.69 A new axiom: (forall (A:real), (((eq real) ((minus_minus_real A) A)) zero_zero_real))
% 0.46/0.69 FOF formula (forall (A:real) (B:real), (((eq real) ((minus_minus_real ((plus_plus_real A) B)) B)) A)) of role axiom named fact_57_add__diff__cancel__right_H
% 0.46/0.69 A new axiom: (forall (A:real) (B:real), (((eq real) ((minus_minus_real ((plus_plus_real A) B)) B)) A))
% 0.46/0.69 FOF formula (forall (A:nat) (B:nat), (((eq nat) ((minus_minus_nat ((plus_plus_nat A) B)) B)) A)) of role axiom named fact_58_add__diff__cancel__right_H
% 0.46/0.69 A new axiom: (forall (A:nat) (B:nat), (((eq nat) ((minus_minus_nat ((plus_plus_nat A) B)) B)) A))
% 0.46/0.69 FOF formula (((eq real) (abs_abs_real zero_zero_real)) zero_zero_real) of role axiom named fact_59_abs__zero
% 0.46/0.69 A new axiom: (((eq real) (abs_abs_real zero_zero_real)) zero_zero_real)
% 0.46/0.69 FOF formula (forall (A:real), (((eq Prop) (((eq real) (abs_abs_real A)) zero_zero_real)) (((eq real) A) zero_zero_real))) of role axiom named fact_60_abs__eq__0
% 0.46/0.69 A new axiom: (forall (A:real), (((eq Prop) (((eq real) (abs_abs_real A)) zero_zero_real)) (((eq real) A) zero_zero_real)))
% 0.46/0.69 FOF formula (forall (A:real), (((eq Prop) (((eq real) zero_zero_real) (abs_abs_real A))) (((eq real) A) zero_zero_real))) of role axiom named fact_61_abs__0__eq
% 0.46/0.69 A new axiom: (forall (A:real), (((eq Prop) (((eq real) zero_zero_real) (abs_abs_real A))) (((eq real) A) zero_zero_real)))
% 0.46/0.69 FOF formula (((eq real) (abs_abs_real zero_zero_real)) zero_zero_real) of role axiom named fact_62_abs__0
% 0.46/0.69 A new axiom: (((eq real) (abs_abs_real zero_zero_real)) zero_zero_real)
% 0.53/0.70 FOF formula (forall (A:real), (((eq Prop) ((ord_less_eq_real zero_zero_real) ((plus_plus_real A) A))) ((ord_less_eq_real zero_zero_real) A))) of role axiom named fact_63_zero__le__double__add__iff__zero__le__single__add
% 0.53/0.70 A new axiom: (forall (A:real), (((eq Prop) ((ord_less_eq_real zero_zero_real) ((plus_plus_real A) A))) ((ord_less_eq_real zero_zero_real) A)))
% 0.53/0.70 FOF formula (forall (A:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real A) A)) zero_zero_real)) ((ord_less_eq_real A) zero_zero_real))) of role axiom named fact_64_double__add__le__zero__iff__single__add__le__zero
% 0.53/0.70 A new axiom: (forall (A:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real A) A)) zero_zero_real)) ((ord_less_eq_real A) zero_zero_real)))
% 0.53/0.70 FOF formula (forall (A:real) (B:real), (((eq Prop) ((ord_less_eq_real A) ((plus_plus_real B) A))) ((ord_less_eq_real zero_zero_real) B))) of role axiom named fact_65_le__add__same__cancel2
% 0.53/0.70 A new axiom: (forall (A:real) (B:real), (((eq Prop) ((ord_less_eq_real A) ((plus_plus_real B) A))) ((ord_less_eq_real zero_zero_real) B)))
% 0.53/0.70 FOF formula (forall (A:nat) (B:nat), (((eq Prop) ((ord_less_eq_nat A) ((plus_plus_nat B) A))) ((ord_less_eq_nat zero_zero_nat) B))) of role axiom named fact_66_le__add__same__cancel2
% 0.53/0.70 A new axiom: (forall (A:nat) (B:nat), (((eq Prop) ((ord_less_eq_nat A) ((plus_plus_nat B) A))) ((ord_less_eq_nat zero_zero_nat) B)))
% 0.53/0.70 FOF formula (forall (A:real) (B:real), (((eq Prop) ((ord_less_eq_real A) ((plus_plus_real A) B))) ((ord_less_eq_real zero_zero_real) B))) of role axiom named fact_67_le__add__same__cancel1
% 0.53/0.70 A new axiom: (forall (A:real) (B:real), (((eq Prop) ((ord_less_eq_real A) ((plus_plus_real A) B))) ((ord_less_eq_real zero_zero_real) B)))
% 0.53/0.70 FOF formula (forall (A:nat) (B:nat), (((eq Prop) ((ord_less_eq_nat A) ((plus_plus_nat A) B))) ((ord_less_eq_nat zero_zero_nat) B))) of role axiom named fact_68_le__add__same__cancel1
% 0.53/0.70 A new axiom: (forall (A:nat) (B:nat), (((eq Prop) ((ord_less_eq_nat A) ((plus_plus_nat A) B))) ((ord_less_eq_nat zero_zero_nat) B)))
% 0.53/0.70 FOF formula (forall (A:real) (B:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real A) B)) B)) ((ord_less_eq_real A) zero_zero_real))) of role axiom named fact_69_add__le__same__cancel2
% 0.53/0.70 A new axiom: (forall (A:real) (B:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real A) B)) B)) ((ord_less_eq_real A) zero_zero_real)))
% 0.53/0.70 FOF formula (forall (A:nat) (B:nat), (((eq Prop) ((ord_less_eq_nat ((plus_plus_nat A) B)) B)) ((ord_less_eq_nat A) zero_zero_nat))) of role axiom named fact_70_add__le__same__cancel2
% 0.53/0.70 A new axiom: (forall (A:nat) (B:nat), (((eq Prop) ((ord_less_eq_nat ((plus_plus_nat A) B)) B)) ((ord_less_eq_nat A) zero_zero_nat)))
% 0.53/0.70 FOF formula (forall (B:real) (A:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real B) A)) B)) ((ord_less_eq_real A) zero_zero_real))) of role axiom named fact_71_add__le__same__cancel1
% 0.53/0.70 A new axiom: (forall (B:real) (A:real), (((eq Prop) ((ord_less_eq_real ((plus_plus_real B) A)) B)) ((ord_less_eq_real A) zero_zero_real)))
% 0.53/0.70 FOF formula (forall (B:nat) (A:nat), (((eq Prop) ((ord_less_eq_nat ((plus_plus_nat B) A)) B)) ((ord_less_eq_nat A) zero_zero_nat))) of role axiom named fact_72_add__le__same__cancel1
% 0.53/0.70 A new axiom: (forall (B:nat) (A:nat), (((eq Prop) ((ord_less_eq_nat ((plus_plus_nat B) A)) B)) ((ord_less_eq_nat A) zero_zero_nat)))
% 0.53/0.70 FOF formula (forall (A:real) (B:real), (((eq Prop) ((ord_less_eq_real zero_zero_real) ((minus_minus_real A) B))) ((ord_less_eq_real B) A))) of role axiom named fact_73_diff__ge__0__iff__ge
% 0.53/0.70 A new axiom: (forall (A:real) (B:real), (((eq Prop) ((ord_less_eq_real zero_zero_real) ((minus_minus_real A) B))) ((ord_less_eq_real B) A)))
% 0.53/0.70 FOF formula (forall (A:nat) (B:nat), (((eq nat) ((minus_minus_nat A) ((plus_plus_nat A) B))) zero_zero_nat)) of role axiom named fact_74_diff__add__zero
% 0.53/0.70 A new axiom: (forall (A:nat) (B:nat), (((eq nat) ((minus_minus_nat A) ((plus_plus_nat A) B))) zero_zero_nat))
% 0.53/0.70 FOF formula (forall (A:real), (((eq Prop) ((ord_less_eq_real (abs_abs_real A)) zero_zero_real)) (((eq real) A) zero_zero_real))) of role axiom named fact_75_abs__le__zero__iff
% 0.53/0.70 A new axiom: (forall (A:real), (((eq Prop) ((ord_less_eq_real (abs_abs_real A)) zero_zero_real)) (((eq real) A) zero_zero_real)))
% 0.53/0.71 FOF formula (forall (A:real), (((eq Prop) ((ord_less_eq_real (abs_abs_real A)) A)) ((ord_less_eq_real zero_zero_real) A))) of role axiom named fact_76_abs__le__self__iff
% 0.53/0.71 A new axiom: (forall (A:real), (((eq Prop) ((ord_less_eq_real (abs_abs_real A)) A)) ((ord_less_eq_real zero_zero_real) A)))
% 0.53/0.71 FOF formula (forall (A:real), (((ord_less_eq_real zero_zero_real) A)->(((eq real) (abs_abs_real A)) A))) of role axiom named fact_77_abs__of__nonneg
% 0.53/0.71 A new axiom: (forall (A:real), (((ord_less_eq_real zero_zero_real) A)->(((eq real) (abs_abs_real A)) A)))
% 0.53/0.71 FOF formula (forall (X:real), (((eq Prop) (((eq real) zero_zero_real) X)) (((eq real) X) zero_zero_real))) of role axiom named fact_78_zero__reorient
% 0.53/0.71 A new axiom: (forall (X:real), (((eq Prop) (((eq real) zero_zero_real) X)) (((eq real) X) zero_zero_real)))
% 0.53/0.71 FOF formula (forall (X:nat), (((eq Prop) (((eq nat) zero_zero_nat) X)) (((eq nat) X) zero_zero_nat))) of role axiom named fact_79_zero__reorient
% 0.53/0.71 A new axiom: (forall (X:nat), (((eq Prop) (((eq nat) zero_zero_nat) X)) (((eq nat) X) zero_zero_nat)))
% 0.53/0.71 FOF formula (forall (X:nat), ((ord_less_eq_nat zero_zero_nat) X)) of role axiom named fact_80_zero__le
% 0.53/0.71 A new axiom: (forall (X:nat), ((ord_less_eq_nat zero_zero_nat) X))
% 0.53/0.71 FOF formula (forall (A:real), (((eq real) ((plus_plus_real zero_zero_real) A)) A)) of role axiom named fact_81_add_Ogroup__left__neutral
% 0.53/0.71 A new axiom: (forall (A:real), (((eq real) ((plus_plus_real zero_zero_real) A)) A))
% 0.53/0.71 FOF formula (forall (A:real), (((eq real) ((plus_plus_real A) zero_zero_real)) A)) of role axiom named fact_82_add_Ocomm__neutral
% 0.53/0.71 A new axiom: (forall (A:real), (((eq real) ((plus_plus_real A) zero_zero_real)) A))
% 0.53/0.71 FOF formula (forall (A:nat), (((eq nat) ((plus_plus_nat A) zero_zero_nat)) A)) of role axiom named fact_83_add_Ocomm__neutral
% 0.53/0.71 A new axiom: (forall (A:nat), (((eq nat) ((plus_plus_nat A) zero_zero_nat)) A))
% 0.53/0.71 FOF formula (forall (A:real), (((eq real) ((plus_plus_real zero_zero_real) A)) A)) of role axiom named fact_84_comm__monoid__add__class_Oadd__0
% 0.53/0.71 A new axiom: (forall (A:real), (((eq real) ((plus_plus_real zero_zero_real) A)) A))
% 0.53/0.71 FOF formula (forall (A:nat), (((eq nat) ((plus_plus_nat zero_zero_nat) A)) A)) of role axiom named fact_85_comm__monoid__add__class_Oadd__0
% 0.53/0.71 A new axiom: (forall (A:nat), (((eq nat) ((plus_plus_nat zero_zero_nat) A)) A))
% 0.53/0.71 FOF formula (not (((eq real) zero_zero_real) one_one_real)) of role axiom named fact_86_zero__neq__one
% 0.53/0.71 A new axiom: (not (((eq real) zero_zero_real) one_one_real))
% 0.53/0.71 FOF formula (not (((eq nat) zero_zero_nat) one_one_nat)) of role axiom named fact_87_zero__neq__one
% 0.53/0.71 A new axiom: (not (((eq nat) zero_zero_nat) one_one_nat))
% 0.53/0.71 FOF formula (((eq (real->(real->Prop))) (fun (Y2:real) (Z:real)=> (((eq real) Y2) Z))) (fun (A2:real) (B2:real)=> (((eq real) ((minus_minus_real A2) B2)) zero_zero_real))) of role axiom named fact_88_eq__iff__diff__eq__0
% 0.53/0.71 A new axiom: (((eq (real->(real->Prop))) (fun (Y2:real) (Z:real)=> (((eq real) Y2) Z))) (fun (A2:real) (B2:real)=> (((eq real) ((minus_minus_real A2) B2)) zero_zero_real)))
% 0.53/0.71 FOF formula (forall (A:real), (((eq Prop) (((eq real) (abs_abs_real A)) zero_zero_real)) (((eq real) A) zero_zero_real))) of role axiom named fact_89_abs__eq__0__iff
% 0.53/0.71 A new axiom: (forall (A:real), (((eq Prop) (((eq real) (abs_abs_real A)) zero_zero_real)) (((eq real) A) zero_zero_real)))
% 0.53/0.71 FOF formula (forall (X:real) (Y:real), (((ord_less_eq_real X) zero_zero_real)->(((ord_less_eq_real Y) zero_zero_real)->(((eq Prop) (((eq real) ((plus_plus_real X) Y)) zero_zero_real)) ((and (((eq real) X) zero_zero_real)) (((eq real) Y) zero_zero_real)))))) of role axiom named fact_90_add__nonpos__eq__0__iff
% 0.53/0.71 A new axiom: (forall (X:real) (Y:real), (((ord_less_eq_real X) zero_zero_real)->(((ord_less_eq_real Y) zero_zero_real)->(((eq Prop) (((eq real) ((plus_plus_real X) Y)) zero_zero_real)) ((and (((eq real) X) zero_zero_real)) (((eq real) Y) zero_zero_real))))))
% 0.53/0.71 FOF formula (forall (X:nat) (Y:nat), (((ord_less_eq_nat X) zero_zero_nat)->(((ord_less_eq_nat Y) zero_zero_nat)->(((eq Prop) (((eq nat) ((plus_plus_nat X) Y)) zero_zero_nat)) ((and (((eq nat) X) zero_zero_nat)) (((eq nat) Y) zero_zero_nat)))))) of role axiom named fact_91_add__nonpos__eq__0__iff
% 0.53/0.72 A new axiom: (forall (X:nat) (Y:nat), (((ord_less_eq_nat X) zero_zero_nat)->(((ord_less_eq_nat Y) zero_zero_nat)->(((eq Prop) (((eq nat) ((plus_plus_nat X) Y)) zero_zero_nat)) ((and (((eq nat) X) zero_zero_nat)) (((eq nat) Y) zero_zero_nat))))))
% 0.53/0.72 FOF formula (forall (X:real) (Y:real), (((ord_less_eq_real zero_zero_real) X)->(((ord_less_eq_real zero_zero_real) Y)->(((eq Prop) (((eq real) ((plus_plus_real X) Y)) zero_zero_real)) ((and (((eq real) X) zero_zero_real)) (((eq real) Y) zero_zero_real)))))) of role axiom named fact_92_add__nonneg__eq__0__iff
% 0.53/0.72 A new axiom: (forall (X:real) (Y:real), (((ord_less_eq_real zero_zero_real) X)->(((ord_less_eq_real zero_zero_real) Y)->(((eq Prop) (((eq real) ((plus_plus_real X) Y)) zero_zero_real)) ((and (((eq real) X) zero_zero_real)) (((eq real) Y) zero_zero_real))))))
% 0.53/0.72 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) ((plus_plus_nat X) Y)) zero_zero_nat)) ((and (((eq nat) X) zero_zero_nat)) (((eq nat) Y) zero_zero_nat)))))) of role axiom named fact_93_add__nonneg__eq__0__iff
% 0.53/0.72 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) ((plus_plus_nat X) Y)) zero_zero_nat)) ((and (((eq nat) X) zero_zero_nat)) (((eq nat) Y) zero_zero_nat))))))
% 0.53/0.72 FOF formula (forall (A:real) (B:real), (((ord_less_eq_real A) zero_zero_real)->(((ord_less_eq_real B) zero_zero_real)->((ord_less_eq_real ((plus_plus_real A) B)) zero_zero_real)))) of role axiom named fact_94_add__nonpos__nonpos
% 0.53/0.72 A new axiom: (forall (A:real) (B:real), (((ord_less_eq_real A) zero_zero_real)->(((ord_less_eq_real B) zero_zero_real)->((ord_less_eq_real ((plus_plus_real A) B)) zero_zero_real))))
% 0.53/0.72 FOF formula (forall (A:nat) (B:nat), (((ord_less_eq_nat A) zero_zero_nat)->(((ord_less_eq_nat B) zero_zero_nat)->((ord_less_eq_nat ((plus_plus_nat A) B)) zero_zero_nat)))) of role axiom named fact_95_add__nonpos__nonpos
% 0.53/0.72 A new axiom: (forall (A:nat) (B:nat), (((ord_less_eq_nat A) zero_zero_nat)->(((ord_less_eq_nat B) zero_zero_nat)->((ord_less_eq_nat ((plus_plus_nat A) B)) zero_zero_nat))))
% 0.53/0.72 FOF formula (forall (A:real) (B:real), (((ord_less_eq_real zero_zero_real) A)->(((ord_less_eq_real zero_zero_real) B)->((ord_less_eq_real zero_zero_real) ((plus_plus_real A) B))))) of role axiom named fact_96_add__nonneg__nonneg
% 0.53/0.72 A new axiom: (forall (A:real) (B:real), (((ord_less_eq_real zero_zero_real) A)->(((ord_less_eq_real zero_zero_real) B)->((ord_less_eq_real zero_zero_real) ((plus_plus_real A) B)))))
% 0.53/0.72 FOF formula (forall (A:nat) (B:nat), (((ord_less_eq_nat zero_zero_nat) A)->(((ord_less_eq_nat zero_zero_nat) B)->((ord_less_eq_nat zero_zero_nat) ((plus_plus_nat A) B))))) of role axiom named fact_97_add__nonneg__nonneg
% 0.53/0.72 A new axiom: (forall (A:nat) (B:nat), (((ord_less_eq_nat zero_zero_nat) A)->(((ord_less_eq_nat zero_zero_nat) B)->((ord_less_eq_nat zero_zero_nat) ((plus_plus_nat A) B)))))
% 0.53/0.72 FOF formula (forall (C:real) (B:real) (A:real), (((ord_less_eq_real zero_zero_real) C)->(((ord_less_eq_real B) A)->((ord_less_eq_real B) ((plus_plus_real A) C))))) of role axiom named fact_98_add__increasing2
% 0.53/0.72 A new axiom: (forall (C:real) (B:real) (A:real), (((ord_less_eq_real zero_zero_real) C)->(((ord_less_eq_real B) A)->((ord_less_eq_real B) ((plus_plus_real A) C)))))
% 0.53/0.72 FOF formula (forall (C:nat) (B:nat) (A:nat), (((ord_less_eq_nat zero_zero_nat) C)->(((ord_less_eq_nat B) A)->((ord_less_eq_nat B) ((plus_plus_nat A) C))))) of role axiom named fact_99_add__increasing2
% 0.53/0.72 A new axiom: (forall (C:nat) (B:nat) (A:nat), (((ord_less_eq_nat zero_zero_nat) C)->(((ord_less_eq_nat B) A)->((ord_less_eq_nat B) ((plus_plus_nat A) C)))))
% 0.53/0.72 FOF formula (forall (C:real) (A:real) (B:real), (((ord_less_eq_real C) zero_zero_real)->(((ord_less_eq_real A) B)->((ord_less_eq_real ((plus_plus_real A) C)) B)))) of role axiom named fact_100_add__decreasing2
% 0.53/0.74 A new axiom: (forall (C:real) (A:real) (B:real), (((ord_less_eq_real C) zero_zero_real)->(((ord_less_eq_real A) B)->((ord_less_eq_real ((plus_plus_real A) C)) B))))
% 0.53/0.74 FOF formula (forall (C:nat) (A:nat) (B:nat), (((ord_less_eq_nat C) zero_zero_nat)->(((ord_less_eq_nat A) B)->((ord_less_eq_nat ((plus_plus_nat A) C)) B)))) of role axiom named fact_101_add__decreasing2
% 0.53/0.74 A new axiom: (forall (C:nat) (A:nat) (B:nat), (((ord_less_eq_nat C) zero_zero_nat)->(((ord_less_eq_nat A) B)->((ord_less_eq_nat ((plus_plus_nat A) C)) B))))
% 0.53/0.74 FOF formula (forall (A:real) (B:real) (C:real), (((ord_less_eq_real zero_zero_real) A)->(((ord_less_eq_real B) C)->((ord_less_eq_real B) ((plus_plus_real A) C))))) of role axiom named fact_102_add__increasing
% 0.53/0.74 A new axiom: (forall (A:real) (B:real) (C:real), (((ord_less_eq_real zero_zero_real) A)->(((ord_less_eq_real B) C)->((ord_less_eq_real B) ((plus_plus_real A) C)))))
% 0.53/0.74 FOF formula (forall (A:nat) (B:nat) (C:nat), (((ord_less_eq_nat zero_zero_nat) A)->(((ord_less_eq_nat B) C)->((ord_less_eq_nat B) ((plus_plus_nat A) C))))) of role axiom named fact_103_add__increasing
% 0.53/0.74 A new axiom: (forall (A:nat) (B:nat) (C:nat), (((ord_less_eq_nat zero_zero_nat) A)->(((ord_less_eq_nat B) C)->((ord_less_eq_nat B) ((plus_plus_nat A) C)))))
% 0.53/0.74 FOF formula (forall (A:real) (C:real) (B:real), (((ord_less_eq_real A) zero_zero_real)->(((ord_less_eq_real C) B)->((ord_less_eq_real ((plus_plus_real A) C)) B)))) of role axiom named fact_104_add__decreasing
% 0.53/0.74 A new axiom: (forall (A:real) (C:real) (B:real), (((ord_less_eq_real A) zero_zero_real)->(((ord_less_eq_real C) B)->((ord_less_eq_real ((plus_plus_real A) C)) B))))
% 0.53/0.74 FOF formula (forall (A:nat) (C:nat) (B:nat), (((ord_less_eq_nat A) zero_zero_nat)->(((ord_less_eq_nat C) B)->((ord_less_eq_nat ((plus_plus_nat A) C)) B)))) of role axiom named fact_105_add__decreasing
% 0.53/0.74 A new axiom: (forall (A:nat) (C:nat) (B:nat), (((ord_less_eq_nat A) zero_zero_nat)->(((ord_less_eq_nat C) B)->((ord_less_eq_nat ((plus_plus_nat A) C)) B))))
% 0.53/0.74 FOF formula (((ord_less_eq_real one_one_real) zero_zero_real)->False) of role axiom named fact_106_not__one__le__zero
% 0.53/0.74 A new axiom: (((ord_less_eq_real one_one_real) zero_zero_real)->False)
% 0.53/0.74 FOF formula (((ord_less_eq_nat one_one_nat) zero_zero_nat)->False) of role axiom named fact_107_not__one__le__zero
% 0.53/0.74 A new axiom: (((ord_less_eq_nat one_one_nat) zero_zero_nat)->False)
% 0.53/0.74 FOF formula ((ord_less_eq_real zero_zero_real) one_one_real) of role axiom named fact_108_zero__le__one
% 0.53/0.74 A new axiom: ((ord_less_eq_real zero_zero_real) one_one_real)
% 0.53/0.74 FOF formula ((ord_less_eq_nat zero_zero_nat) one_one_nat) of role axiom named fact_109_zero__le__one
% 0.53/0.74 A new axiom: ((ord_less_eq_nat zero_zero_nat) one_one_nat)
% 0.53/0.74 FOF formula (((eq (real->(real->Prop))) ord_less_eq_real) (fun (A2:real) (B2:real)=> ((ord_less_eq_real ((minus_minus_real A2) B2)) zero_zero_real))) of role axiom named fact_110_le__iff__diff__le__0
% 0.53/0.74 A new axiom: (((eq (real->(real->Prop))) ord_less_eq_real) (fun (A2:real) (B2:real)=> ((ord_less_eq_real ((minus_minus_real A2) B2)) zero_zero_real)))
% 0.53/0.74 FOF formula (forall (A:real), ((ord_less_eq_real zero_zero_real) (abs_abs_real A))) of role axiom named fact_111_abs__ge__zero
% 0.53/0.74 A new axiom: (forall (A:real), ((ord_less_eq_real zero_zero_real) (abs_abs_real A)))
% 0.53/0.74 FOF formula (forall (P:nat) (Q:nat) (T:real) (_TPTP_I:nat), (((and ((and ((genClo1015804716orrect P) T)) ((genClo1015804716orrect Q) T))) ((ord_less_eq_real ((plus_plus_real ((genClo1163638703lle_te Q) _TPTP_I)) genClo1278781456e_beta)) T))->((ord_less_eq_real ((genClo1163638703lle_te P) _TPTP_I)) T))) of role axiom named fact_112_rts2a
% 0.53/0.74 A new axiom: (forall (P:nat) (Q:nat) (T:real) (_TPTP_I:nat), (((and ((and ((genClo1015804716orrect P) T)) ((genClo1015804716orrect Q) T))) ((ord_less_eq_real ((plus_plus_real ((genClo1163638703lle_te Q) _TPTP_I)) genClo1278781456e_beta)) T))->((ord_less_eq_real ((genClo1163638703lle_te P) _TPTP_I)) T)))
% 0.53/0.74 FOF formula (forall (B:nat) (A:nat) (C:nat), ((((eq nat) ((plus_plus_nat B) A)) ((plus_plus_nat C) A))->(((eq nat) B) C))) of role axiom named fact_113_add__right__imp__eq
% 0.53/0.74 A new axiom: (forall (B:nat) (A:nat) (C:nat), ((((eq nat) ((plus_plus_nat B) A)) ((plus_plus_nat C) A))->(((eq nat) B) C)))
% 0.53/0.75 FOF formula (forall (B:real) (A:real) (C:real), ((((eq real) ((plus_plus_real B) A)) ((plus_plus_real C) A))->(((eq real) B) C))) of role axiom named fact_114_add__right__imp__eq
% 0.53/0.75 A new axiom: (forall (B:real) (A:real) (C:real), ((((eq real) ((plus_plus_real B) A)) ((plus_plus_real C) A))->(((eq real) B) C)))
% 0.53/0.75 FOF formula (forall (A:nat) (B:nat) (C:nat), ((((eq nat) ((plus_plus_nat A) B)) ((plus_plus_nat A) C))->(((eq nat) B) C))) of role axiom named fact_115_add__left__imp__eq
% 0.53/0.75 A new axiom: (forall (A:nat) (B:nat) (C:nat), ((((eq nat) ((plus_plus_nat A) B)) ((plus_plus_nat A) C))->(((eq nat) B) C)))
% 0.53/0.75 FOF formula (forall (A:real) (B:real) (C:real), ((((eq real) ((plus_plus_real A) B)) ((plus_plus_real A) C))->(((eq real) B) C))) of role axiom named fact_116_add__left__imp__eq
% 0.53/0.75 A new axiom: (forall (A:real) (B:real) (C:real), ((((eq real) ((plus_plus_real A) B)) ((plus_plus_real A) C))->(((eq real) B) C)))
% 0.53/0.75 FOF formula (forall (B:nat) (A:nat) (C:nat), (((eq nat) ((plus_plus_nat B) ((plus_plus_nat A) C))) ((plus_plus_nat A) ((plus_plus_nat B) C)))) of role axiom named fact_117_add_Oleft__commute
% 0.53/0.75 A new axiom: (forall (B:nat) (A:nat) (C:nat), (((eq nat) ((plus_plus_nat B) ((plus_plus_nat A) C))) ((plus_plus_nat A) ((plus_plus_nat B) C))))
% 0.53/0.75 FOF formula (forall (B:real) (A:real) (C:real), (((eq real) ((plus_plus_real B) ((plus_plus_real A) C))) ((plus_plus_real A) ((plus_plus_real B) C)))) of role axiom named fact_118_add_Oleft__commute
% 0.53/0.75 A new axiom: (forall (B:real) (A:real) (C:real), (((eq real) ((plus_plus_real B) ((plus_plus_real A) C))) ((plus_plus_real A) ((plus_plus_real B) C))))
% 0.53/0.75 FOF formula (((eq (nat->(nat->nat))) plus_plus_nat) (fun (A2:nat) (B2:nat)=> ((plus_plus_nat B2) A2))) of role axiom named fact_119_add_Ocommute
% 0.53/0.75 A new axiom: (((eq (nat->(nat->nat))) plus_plus_nat) (fun (A2:nat) (B2:nat)=> ((plus_plus_nat B2) A2)))
% 0.53/0.75 FOF formula (((eq (real->(real->real))) plus_plus_real) (fun (A2:real) (B2:real)=> ((plus_plus_real B2) A2))) of role axiom named fact_120_add_Ocommute
% 0.53/0.75 A new axiom: (((eq (real->(real->real))) plus_plus_real) (fun (A2:real) (B2:real)=> ((plus_plus_real B2) A2)))
% 0.53/0.75 FOF formula (forall (B:real) (A:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real B) A)) ((plus_plus_real C) A))) (((eq real) B) C))) of role axiom named fact_121_add_Oright__cancel
% 0.53/0.75 A new axiom: (forall (B:real) (A:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real B) A)) ((plus_plus_real C) A))) (((eq real) B) C)))
% 0.53/0.75 FOF formula (forall (A:real) (B:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real A) B)) ((plus_plus_real A) C))) (((eq real) B) C))) of role axiom named fact_122_add_Oleft__cancel
% 0.53/0.75 A new axiom: (forall (A:real) (B:real) (C:real), (((eq Prop) (((eq real) ((plus_plus_real A) B)) ((plus_plus_real A) C))) (((eq real) B) C)))
% 0.53/0.75 FOF formula (forall (A:nat) (B:nat) (C:nat), (((eq nat) ((plus_plus_nat ((plus_plus_nat A) B)) C)) ((plus_plus_nat A) ((plus_plus_nat B) C)))) of role axiom named fact_123_add_Oassoc
% 0.53/0.75 A new axiom: (forall (A:nat) (B:nat) (C:nat), (((eq nat) ((plus_plus_nat ((plus_plus_nat A) B)) C)) ((plus_plus_nat A) ((plus_plus_nat B) C))))
% 0.53/0.75 FOF formula (forall (A:real) (B:real) (C:real), (((eq real) ((plus_plus_real ((plus_plus_real A) B)) C)) ((plus_plus_real A) ((plus_plus_real B) C)))) of role axiom named fact_124_add_Oassoc
% 0.53/0.75 A new axiom: (forall (A:real) (B:real) (C:real), (((eq real) ((plus_plus_real ((plus_plus_real A) B)) C)) ((plus_plus_real A) ((plus_plus_real B) C))))
% 0.53/0.75 FOF formula (forall (B3:nat) (K:nat) (B:nat) (A:nat), ((((eq nat) B3) ((plus_plus_nat K) B))->(((eq nat) ((plus_plus_nat A) B3)) ((plus_plus_nat K) ((plus_plus_nat A) B))))) of role axiom named fact_125_group__cancel_Oadd2
% 0.53/0.75 A new axiom: (forall (B3:nat) (K:nat) (B:nat) (A:nat), ((((eq nat) B3) ((plus_plus_nat K) B))->(((eq nat) ((plus_plus_nat A) B3)) ((plus_plus_nat K) ((plus_plus_nat A) B)))))
% 0.53/0.75 FOF formula (forall (B3:real) (K:real) (B:real) (A:real), ((((eq real) B3) ((plus_plus_real K) B))->(((eq real) ((plus_plus_real A) B3)) ((plus_plus_real K) ((plus_plus_real A) B))))) of role axiom named fact_126_group__cancel_Oadd2
% 0.53/0.77 A new axiom: (forall (B3:real) (K:real) (B:real) (A:real), ((((eq real) B3) ((plus_plus_real K) B))->(((eq real) ((plus_plus_real A) B3)) ((plus_plus_real K) ((plus_plus_real A) B)))))
% 0.53/0.77 FOF formula (forall (A3:nat) (K:nat) (A:nat) (B:nat), ((((eq nat) A3) ((plus_plus_nat K) A))->(((eq nat) ((plus_plus_nat A3) B)) ((plus_plus_nat K) ((plus_plus_nat A) B))))) of role axiom named fact_127_group__cancel_Oadd1
% 0.53/0.77 A new axiom: (forall (A3:nat) (K:nat) (A:nat) (B:nat), ((((eq nat) A3) ((plus_plus_nat K) A))->(((eq nat) ((plus_plus_nat A3) B)) ((plus_plus_nat K) ((plus_plus_nat A) B)))))
% 0.53/0.77 FOF formula (forall (A3:real) (K:real) (A:real) (B:real), ((((eq real) A3) ((plus_plus_real K) A))->(((eq real) ((plus_plus_real A3) B)) ((plus_plus_real K) ((plus_plus_real A) B))))) of role axiom named fact_128_group__cancel_Oadd1
% 0.53/0.77 A new axiom: (forall (A3:real) (K:real) (A:real) (B:real), ((((eq real) A3) ((plus_plus_real K) A))->(((eq real) ((plus_plus_real A3) B)) ((plus_plus_real K) ((plus_plus_real A) B)))))
% 0.53/0.77 FOF formula (forall (I2:nat) (J:nat) (K:nat) (L:nat), (((and (((eq nat) I2) J)) (((eq nat) K) L))->(((eq nat) ((plus_plus_nat I2) K)) ((plus_plus_nat J) L)))) of role axiom named fact_129_add__mono__thms__linordered__semiring_I4_J
% 0.53/0.77 A new axiom: (forall (I2:nat) (J:nat) (K:nat) (L:nat), (((and (((eq nat) I2) J)) (((eq nat) K) L))->(((eq nat) ((plus_plus_nat I2) K)) ((plus_plus_nat J) L))))
% 0.53/0.77 FOF formula (forall (I2:real) (J:real) (K:real) (L:real), (((and (((eq real) I2) J)) (((eq real) K) L))->(((eq real) ((plus_plus_real I2) K)) ((plus_plus_real J) L)))) of role axiom named fact_130_add__mono__thms__linordered__semiring_I4_J
% 0.53/0.77 A new axiom: (forall (I2:real) (J:real) (K:real) (L:real), (((and (((eq real) I2) J)) (((eq real) K) L))->(((eq real) ((plus_plus_real I2) K)) ((plus_plus_real J) L))))
% 0.53/0.77 FOF formula (forall (A:nat) (B:nat) (C:nat), (((eq nat) ((plus_plus_nat ((plus_plus_nat A) B)) C)) ((plus_plus_nat A) ((plus_plus_nat B) C)))) of role axiom named fact_131_ab__semigroup__add__class_Oadd__ac_I1_J
% 0.53/0.77 A new axiom: (forall (A:nat) (B:nat) (C:nat), (((eq nat) ((plus_plus_nat ((plus_plus_nat A) B)) C)) ((plus_plus_nat A) ((plus_plus_nat B) C))))
% 0.53/0.77 FOF formula (forall (A:real) (B:real) (C:real), (((eq real) ((plus_plus_real ((plus_plus_real A) B)) C)) ((plus_plus_real A) ((plus_plus_real B) C)))) of role axiom named fact_132_ab__semigroup__add__class_Oadd__ac_I1_J
% 0.53/0.77 A new axiom: (forall (A:real) (B:real) (C:real), (((eq real) ((plus_plus_real ((plus_plus_real A) B)) C)) ((plus_plus_real A) ((plus_plus_real B) C))))
% 0.53/0.77 FOF formula (forall (X:nat), (((eq Prop) (((eq nat) one_one_nat) X)) (((eq nat) X) one_one_nat))) of role axiom named fact_133_one__reorient
% 0.53/0.77 A new axiom: (forall (X:nat), (((eq Prop) (((eq nat) one_one_nat) X)) (((eq nat) X) one_one_nat)))
% 0.53/0.77 FOF formula (forall (X:real), (((eq Prop) (((eq real) one_one_real) X)) (((eq real) X) one_one_real))) of role axiom named fact_134_one__reorient
% 0.53/0.77 A new axiom: (forall (X:real), (((eq Prop) (((eq real) one_one_real) X)) (((eq real) X) one_one_real)))
% 0.53/0.77 FOF formula (forall (A:real) (C:real) (B:real), (((eq real) ((minus_minus_real ((minus_minus_real A) C)) B)) ((minus_minus_real ((minus_minus_real A) B)) C))) of role axiom named fact_135_diff__right__commute
% 0.53/0.77 A new axiom: (forall (A:real) (C:real) (B:real), (((eq real) ((minus_minus_real ((minus_minus_real A) C)) B)) ((minus_minus_real ((minus_minus_real A) B)) C)))
% 0.53/0.77 FOF formula (forall (A:nat) (C:nat) (B:nat), (((eq nat) ((minus_minus_nat ((minus_minus_nat A) C)) B)) ((minus_minus_nat ((minus_minus_nat A) B)) C))) of role axiom named fact_136_diff__right__commute
% 0.53/0.77 A new axiom: (forall (A:nat) (C:nat) (B:nat), (((eq nat) ((minus_minus_nat ((minus_minus_nat A) C)) B)) ((minus_minus_nat ((minus_minus_nat A) B)) C)))
% 0.53/0.77 FOF formula (forall (A:real) (B:real) (C:real) (D:real), ((((eq real) ((minus_minus_real A) B)) ((minus_minus_real C) D))->(((eq Prop) (((eq real) A) B)) (((eq real) C) D)))) of role axiom named fact_137_diff__eq__diff__eq
% 0.53/0.77 A new axiom: (forall (A:real) (B:real) (C:real) (D:real), ((((eq real) ((minus_minus_real A) B)) ((minus_minus_real C) D))->(((eq Prop) (((eq real) A) B)) (((eq real) C) D))))
% 0.60/0.78 FOF formula (forall (P2:nat) (I2:nat) (Q2:nat), (((genClo1015804716orrect P2) ((genClo1163638703lle_te P2) ((plus_plus_nat I2) one_one_nat)))->(((genClo1015804716orrect Q2) ((genClo1163638703lle_te P2) ((plus_plus_nat I2) one_one_nat)))->((ord_less_eq_real zero_zero_real) ((minus_minus_real ((genClo1163638703lle_te P2) ((plus_plus_nat I2) one_one_nat))) ((genClo1163638703lle_te Q2) I2)))))) of role axiom named fact_138_beta__bound1
% 0.60/0.78 A new axiom: (forall (P2:nat) (I2:nat) (Q2:nat), (((genClo1015804716orrect P2) ((genClo1163638703lle_te P2) ((plus_plus_nat I2) one_one_nat)))->(((genClo1015804716orrect Q2) ((genClo1163638703lle_te P2) ((plus_plus_nat I2) one_one_nat)))->((ord_less_eq_real zero_zero_real) ((minus_minus_real ((genClo1163638703lle_te P2) ((plus_plus_nat I2) one_one_nat))) ((genClo1163638703lle_te Q2) I2))))))
% 0.60/0.78 FOF formula (forall (P:nat) (S:real) (T:real), (((and ((ord_less_eq_real S) T)) ((genClo1015804716orrect P) T))->((genClo1015804716orrect P) S))) of role axiom named fact_139_correct__closed
% 0.60/0.78 A new axiom: (forall (P:nat) (S:real) (T:real), (((and ((ord_less_eq_real S) T)) ((genClo1015804716orrect P) T))->((genClo1015804716orrect P) S)))
% 0.60/0.78 FOF formula (forall (A:real) (C:real) (B:real), (((ord_less_eq_real ((plus_plus_real A) C)) ((plus_plus_real B) C))->((ord_less_eq_real A) B))) of role axiom named fact_140_add__le__imp__le__right
% 0.60/0.78 A new axiom: (forall (A:real) (C:real) (B:real), (((ord_less_eq_real ((plus_plus_real A) C)) ((plus_plus_real B) C))->((ord_less_eq_real A) B)))
% 0.60/0.78 FOF formula (forall (A:nat) (C:nat) (B:nat), (((ord_less_eq_nat ((plus_plus_nat A) C)) ((plus_plus_nat B) C))->((ord_less_eq_nat A) B))) of role axiom named fact_141_add__le__imp__le__right
% 0.60/0.78 A new axiom: (forall (A:nat) (C:nat) (B:nat), (((ord_less_eq_nat ((plus_plus_nat A) C)) ((plus_plus_nat B) C))->((ord_less_eq_nat A) B)))
% 0.60/0.78 FOF formula (forall (C:real) (A:real) (B:real), (((ord_less_eq_real ((plus_plus_real C) A)) ((plus_plus_real C) B))->((ord_less_eq_real A) B))) of role axiom named fact_142_add__le__imp__le__left
% 0.60/0.78 A new axiom: (forall (C:real) (A:real) (B:real), (((ord_less_eq_real ((plus_plus_real C) A)) ((plus_plus_real C) B))->((ord_less_eq_real A) B)))
% 0.60/0.78 FOF formula (forall (C:nat) (A:nat) (B:nat), (((ord_less_eq_nat ((plus_plus_nat C) A)) ((plus_plus_nat C) B))->((ord_less_eq_nat A) B))) of role axiom named fact_143_add__le__imp__le__left
% 0.60/0.78 A new axiom: (forall (C:nat) (A:nat) (B:nat), (((ord_less_eq_nat ((plus_plus_nat C) A)) ((plus_plus_nat C) B))->((ord_less_eq_nat A) B)))
% 0.60/0.78 FOF formula (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (A2:nat) (B2:nat)=> ((ex nat) (fun (C2:nat)=> (((eq nat) B2) ((plus_plus_nat A2) C2)))))) of role axiom named fact_144_le__iff__add
% 0.60/0.78 A new axiom: (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (A2:nat) (B2:nat)=> ((ex nat) (fun (C2:nat)=> (((eq nat) B2) ((plus_plus_nat A2) C2))))))
% 0.60/0.78 FOF formula (forall (A:real) (B:real) (C:real), (((ord_less_eq_real A) B)->((ord_less_eq_real ((plus_plus_real A) C)) ((plus_plus_real B) C)))) of role axiom named fact_145_add__right__mono
% 0.60/0.78 A new axiom: (forall (A:real) (B:real) (C:real), (((ord_less_eq_real A) B)->((ord_less_eq_real ((plus_plus_real A) C)) ((plus_plus_real B) C))))
% 0.60/0.78 FOF formula (forall (A:nat) (B:nat) (C:nat), (((ord_less_eq_nat A) B)->((ord_less_eq_nat ((plus_plus_nat A) C)) ((plus_plus_nat B) C)))) of role axiom named fact_146_add__right__mono
% 0.60/0.78 A new axiom: (forall (A:nat) (B:nat) (C:nat), (((ord_less_eq_nat A) B)->((ord_less_eq_nat ((plus_plus_nat A) C)) ((plus_plus_nat B) C))))
% 0.60/0.78 <<<_less__eqE,axiom,(
% 0.60/0.78 ! [A: nat,B: nat] :
% 0.60/0.78 ( ( ord_less_eq_nat @ A @ B )
% 0.60/0.78 => ~ !>>>!!!<<< [C3: nat] :
% 0.60/0.78 ( B
% 0.60/0.78 != ( plus_plus_nat @ A @ C3 ) ) ) )).
% 0.60/0.78
% 0.60/0.78 % less_eqE
% 0.60/0.78 >>>
% 0.60/0.78 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, 11, 22, 30, 36, 43, 50, 99, 113, 185, 229, 265, 285, 300, 221, 120, 187, 124]
% 0.60/0.78 symstack=[$end, TPTP_file_pre, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,33501), LexToken(LPAR,'(',1,33504), name, LexToken(COMMA,',',1,33523), formula_role, LexToken(COMMA,',',1,33529), LexToken(LPAR,'(',1,33530), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,33538), thf_variable_list, LexToken(RBRACKET,']',1,33552), LexToken(COLON,':',1,33554), LexToken(LPAR,'(',1,33562), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.60/0.78 Unexpected exception Syntax error at '!':BANG
% 0.60/0.78 Traceback (most recent call last):
% 0.60/0.78 File "CASC.py", line 79, in <module>
% 0.60/0.78 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.60/0.78 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.60/0.78 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.60/0.78 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.60/0.78 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.60/0.78 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.60/0.78 tok = self.errorfunc(errtoken)
% 0.60/0.78 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.60/0.78 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.60/0.78 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------