TSTP Solution File: ITP064^1 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP064^1 : TPTP v7.5.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 0.61s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : ITP064^1 : TPTP v7.5.0. Released v7.5.0.
% 0.03/0.11 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.31 % Computer : n015.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % DateTime : Fri Mar 19 05:10:40 EDT 2021
% 0.11/0.31 % CPUTime :
% 0.16/0.32 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.16/0.32 Python 2.7.5
% 0.43/0.59 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xc6aa28>, <kernel.Type object at 0xc6a248>) of role type named ty_n_t__Real__Oreal
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring real:Type
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xc65cb0>, <kernel.Type object at 0xc6a128>) of role type named ty_n_t__Nat__Onat
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring nat:Type
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xc6a710>, <kernel.DependentProduct object at 0xdd2ef0>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_OIC
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring genClo1160817912lle_IC:(nat->(nat->(real->real)))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xc6a6c8>, <kernel.Constant object at 0xc6aa28>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_O_092_060Lambda_062
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring genClo721845095Lambda:real
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xc6a638>, <kernel.Constant object at 0xc6aa28>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_O_092_060beta_062
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring genClo1278781456e_beta:real
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xc6a710>, <kernel.DependentProduct object at 0xdd2ea8>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_O_092_060theta_062
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring genClo1400225944_theta:(nat->(nat->(nat->real)))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xc6a6c8>, <kernel.DependentProduct object at 0xdd2ef0>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_Ocorrect
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring genClo1015804716orrect:(nat->(real->Prop))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xc6a710>, <kernel.DependentProduct object at 0xdd2ef0>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_OokRead1
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring genClo293725281kRead1:((nat->real)->(real->((nat->Prop)->Prop)))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xc6aa28>, <kernel.DependentProduct object at 0xdd2ea8>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_OokRead2
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring genClo293725282kRead2:((nat->real)->((nat->real)->(real->((nat->Prop)->Prop))))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xc6a710>, <kernel.DependentProduct object at 0xdd2f80>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_Ookmaxsync
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring genClo208577157axsync:(nat->(real->Prop))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xc6a710>, <kernel.Constant object at 0xdd2f80>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_Ormax
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring genClo1650508560e_rmax:real
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2fc8>, <kernel.Constant object at 0xdd2f80>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_Ormin
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring genClo1651033342e_rmin:real
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2c20>, <kernel.DependentProduct object at 0xdd2e18>) of role type named sy_c_GenClock__Mirabelle__bsvkzpgbls_Ote
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring genClo1163638703lle_te:(nat->(nat->real))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2b90>, <kernel.DependentProduct object at 0xdd2dd0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring abs_abs_real:(real->real)
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2f80>, <kernel.DependentProduct object at 0xdd2fc8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2e18>, <kernel.DependentProduct object at 0xdd2ea8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring minus_minus_real:(real->(real->real))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2dd0>, <kernel.Constant object at 0xdd2ea8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring one_one_nat:nat
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2f80>, <kernel.Constant object at 0xdd2ea8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring one_one_real:real
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2e18>, <kernel.DependentProduct object at 0xdd2bd8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2a70>, <kernel.DependentProduct object at 0xdd2ab8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring plus_plus_real:(real->(real->real))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2ea8>, <kernel.Constant object at 0xdd2ab8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring zero_zero_nat:nat
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2e18>, <kernel.Constant object at 0xdd2ab8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring zero_zero_real:real
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2a70>, <kernel.DependentProduct object at 0xdd2ab8>) of role type named sy_c_If_001t__Nat__Onat
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2ea8>, <kernel.DependentProduct object at 0xdd2ab8>) of role type named sy_c_If_001t__Real__Oreal
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring if_real:(Prop->(real->(real->real)))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2e18>, <kernel.DependentProduct object at 0xdd2830>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2908>, <kernel.DependentProduct object at 0xdd2998>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2ab8>, <kernel.DependentProduct object at 0xdd2a70>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring ord_max_nat:(nat->(nat->nat))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2830>, <kernel.DependentProduct object at 0xdd2878>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Real__Oreal
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring ord_max_real:(real->(real->real))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2998>, <kernel.Constant object at 0xdd2878>) of role type named sy_v__092_060delta_062S
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring delta_S:real
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2ab8>, <kernel.Constant object at 0xdd2878>) of role type named sy_v_i
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring i:nat
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2830>, <kernel.Constant object at 0xdd2878>) of role type named sy_v_l
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring l:nat
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2998>, <kernel.Constant object at 0xdd2878>) of role type named sy_v_m
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring m:nat
% 0.43/0.59 FOF formula (<kernel.Constant object at 0xdd2ab8>, <kernel.Constant object at 0xdd2878>) of role type named sy_v_p
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring p:nat
% 0.43/0.59 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_0_correct__closed
% 0.43/0.59 A new axiom: (forall (P:nat) (S:real) (T:real), (((and ((ord_less_eq_real S) T)) ((genClo1015804716orrect P) T))->((genClo1015804716orrect P) S)))
% 0.43/0.59 FOF formula ((genClo1015804716orrect m) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat))) of role axiom named fact_1_corr__m
% 0.43/0.59 A new axiom: ((genClo1015804716orrect m) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat)))
% 0.43/0.59 FOF formula ((genClo1015804716orrect p) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat))) of role axiom named fact_2_corr__p
% 0.43/0.59 A new axiom: ((genClo1015804716orrect p) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat)))
% 0.43/0.59 FOF formula ((ord_less_eq_real ((ord_max_real ((genClo1163638703lle_te l) i)) ((genClo1163638703lle_te m) i))) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat))) of role axiom named fact_3_tml__le__tp
% 0.43/0.59 A new axiom: ((ord_less_eq_real ((ord_max_real ((genClo1163638703lle_te l) i)) ((genClo1163638703lle_te m) i))) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat)))
% 0.43/0.59 FOF formula ((genClo1015804716orrect l) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat))) of role axiom named fact_4_corr__l
% 0.43/0.61 A new axiom: ((genClo1015804716orrect l) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat)))
% 0.43/0.61 FOF formula ((genClo1015804716orrect l) ((ord_max_real ((genClo1163638703lle_te l) i)) ((genClo1163638703lle_te m) i))) of role axiom named fact_5_corr__l__tml
% 0.43/0.61 A new axiom: ((genClo1015804716orrect l) ((ord_max_real ((genClo1163638703lle_te l) i)) ((genClo1163638703lle_te m) i)))
% 0.43/0.61 FOF formula ((ord_less_eq_real ((genClo1163638703lle_te m) i)) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat))) of role axiom named fact_6_tmi__le__tp
% 0.43/0.61 A new axiom: ((ord_less_eq_real ((genClo1163638703lle_te m) i)) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat)))
% 0.43/0.61 FOF formula ((ord_less_eq_real ((genClo1163638703lle_te l) i)) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat))) of role axiom named fact_7_tli__le__tp
% 0.43/0.61 A new axiom: ((ord_less_eq_real ((genClo1163638703lle_te l) i)) ((genClo1163638703lle_te p) ((plus_plus_nat i) one_one_nat)))
% 0.43/0.61 FOF formula (forall (A:real), (((eq real) ((ord_max_real A) A)) A)) of role axiom named fact_8_max_Oidem
% 0.43/0.61 A new axiom: (forall (A:real), (((eq real) ((ord_max_real A) A)) A))
% 0.43/0.61 FOF formula (forall (A:nat), (((eq nat) ((ord_max_nat A) A)) A)) of role axiom named fact_9_max_Oidem
% 0.43/0.61 A new axiom: (forall (A:nat), (((eq nat) ((ord_max_nat A) A)) A))
% 0.43/0.61 FOF formula (forall (A:real) (B:real), (((eq real) ((ord_max_real A) ((ord_max_real A) B))) ((ord_max_real A) B))) of role axiom named fact_10_max_Oleft__idem
% 0.43/0.61 A new axiom: (forall (A:real) (B:real), (((eq real) ((ord_max_real A) ((ord_max_real A) B))) ((ord_max_real A) B)))
% 0.43/0.61 FOF formula (forall (A:nat) (B:nat), (((eq nat) ((ord_max_nat A) ((ord_max_nat A) B))) ((ord_max_nat A) B))) of role axiom named fact_11_max_Oleft__idem
% 0.43/0.61 A new axiom: (forall (A:nat) (B:nat), (((eq nat) ((ord_max_nat A) ((ord_max_nat A) B))) ((ord_max_nat A) B)))
% 0.43/0.61 FOF formula (forall (A:real) (B:real), (((eq real) ((ord_max_real ((ord_max_real A) B)) B)) ((ord_max_real A) B))) of role axiom named fact_12_max_Oright__idem
% 0.43/0.61 A new axiom: (forall (A:real) (B:real), (((eq real) ((ord_max_real ((ord_max_real A) B)) B)) ((ord_max_real A) B)))
% 0.43/0.61 FOF formula (forall (A:nat) (B:nat), (((eq nat) ((ord_max_nat ((ord_max_nat A) B)) B)) ((ord_max_nat A) B))) of role axiom named fact_13_max_Oright__idem
% 0.43/0.61 A new axiom: (forall (A:nat) (B:nat), (((eq nat) ((ord_max_nat ((ord_max_nat A) B)) B)) ((ord_max_nat A) B)))
% 0.43/0.61 FOF formula ((ord_less_eq_real (abs_abs_real ((minus_minus_real (((genClo1160817912lle_IC l) i) ((ord_max_real ((genClo1163638703lle_te l) i)) ((genClo1163638703lle_te m) i)))) (((genClo1160817912lle_IC m) i) ((ord_max_real ((genClo1163638703lle_te l) i)) ((genClo1163638703lle_te m) i)))))) delta_S) of role axiom named fact_14_IC__bound
% 0.43/0.61 A new axiom: ((ord_less_eq_real (abs_abs_real ((minus_minus_real (((genClo1160817912lle_IC l) i) ((ord_max_real ((genClo1163638703lle_te l) i)) ((genClo1163638703lle_te m) i)))) (((genClo1160817912lle_IC m) i) ((ord_max_real ((genClo1163638703lle_te l) i)) ((genClo1163638703lle_te m) i)))))) delta_S)
% 0.43/0.61 FOF formula (forall (A:real) (B:real) (C:real), (((eq real) ((ord_max_real ((ord_max_real A) B)) C)) ((ord_max_real A) ((ord_max_real B) C)))) of role axiom named fact_15_max_Oassoc
% 0.43/0.61 A new axiom: (forall (A:real) (B:real) (C:real), (((eq real) ((ord_max_real ((ord_max_real A) B)) C)) ((ord_max_real A) ((ord_max_real B) C))))
% 0.43/0.61 FOF formula (forall (A:nat) (B:nat) (C:nat), (((eq nat) ((ord_max_nat ((ord_max_nat A) B)) C)) ((ord_max_nat A) ((ord_max_nat B) C)))) of role axiom named fact_16_max_Oassoc
% 0.43/0.61 A new axiom: (forall (A:nat) (B:nat) (C:nat), (((eq nat) ((ord_max_nat ((ord_max_nat A) B)) C)) ((ord_max_nat A) ((ord_max_nat B) C))))
% 0.43/0.61 FOF formula (((eq (real->(real->real))) ord_max_real) (fun (A2:real) (B2:real)=> ((ord_max_real B2) A2))) of role axiom named fact_17_max_Ocommute
% 0.43/0.61 A new axiom: (((eq (real->(real->real))) ord_max_real) (fun (A2:real) (B2:real)=> ((ord_max_real B2) A2)))
% 0.43/0.61 FOF formula (((eq (nat->(nat->nat))) ord_max_nat) (fun (A2:nat) (B2:nat)=> ((ord_max_nat B2) A2))) of role axiom named fact_18_max_Ocommute
% 0.43/0.62 A new axiom: (((eq (nat->(nat->nat))) ord_max_nat) (fun (A2:nat) (B2:nat)=> ((ord_max_nat B2) A2)))
% 0.43/0.62 FOF formula (forall (B:real) (A:real) (C:real), (((eq real) ((ord_max_real B) ((ord_max_real A) C))) ((ord_max_real A) ((ord_max_real B) C)))) of role axiom named fact_19_max_Oleft__commute
% 0.43/0.62 A new axiom: (forall (B:real) (A:real) (C:real), (((eq real) ((ord_max_real B) ((ord_max_real A) C))) ((ord_max_real A) ((ord_max_real B) C))))
% 0.43/0.62 FOF formula (forall (B:nat) (A:nat) (C:nat), (((eq nat) ((ord_max_nat B) ((ord_max_nat A) C))) ((ord_max_nat A) ((ord_max_nat B) C)))) of role axiom named fact_20_max_Oleft__commute
% 0.43/0.62 A new axiom: (forall (B:nat) (A:nat) (C:nat), (((eq nat) ((ord_max_nat B) ((ord_max_nat A) C))) ((ord_max_nat A) ((ord_max_nat B) C))))
% 0.43/0.62 FOF formula (forall (P2:nat) (_TPTP_I:nat), (((genClo1015804716orrect P2) ((genClo1163638703lle_te P2) ((plus_plus_nat _TPTP_I) one_one_nat)))->((ord_less_eq_real ((genClo1163638703lle_te P2) _TPTP_I)) ((genClo1163638703lle_te P2) ((plus_plus_nat _TPTP_I) one_one_nat))))) of role axiom named fact_21_rte
% 0.43/0.62 A new axiom: (forall (P2:nat) (_TPTP_I:nat), (((genClo1015804716orrect P2) ((genClo1163638703lle_te P2) ((plus_plus_nat _TPTP_I) one_one_nat)))->((ord_less_eq_real ((genClo1163638703lle_te P2) _TPTP_I)) ((genClo1163638703lle_te P2) ((plus_plus_nat _TPTP_I) one_one_nat)))))
% 0.43/0.62 FOF formula (forall (B:real) (C:real) (A:real), (((eq Prop) ((ord_less_eq_real ((ord_max_real B) C)) A)) ((and ((ord_less_eq_real B) A)) ((ord_less_eq_real C) A)))) of role axiom named fact_22_max_Obounded__iff
% 0.43/0.62 A new axiom: (forall (B:real) (C:real) (A:real), (((eq Prop) ((ord_less_eq_real ((ord_max_real B) C)) A)) ((and ((ord_less_eq_real B) A)) ((ord_less_eq_real C) A))))
% 0.43/0.62 FOF formula (forall (B:nat) (C:nat) (A:nat), (((eq Prop) ((ord_less_eq_nat ((ord_max_nat B) C)) A)) ((and ((ord_less_eq_nat B) A)) ((ord_less_eq_nat C) A)))) of role axiom named fact_23_max_Obounded__iff
% 0.43/0.62 A new axiom: (forall (B:nat) (C:nat) (A:nat), (((eq Prop) ((ord_less_eq_nat ((ord_max_nat B) C)) A)) ((and ((ord_less_eq_nat B) A)) ((ord_less_eq_nat C) A))))
% 0.43/0.62 FOF formula (forall (Y:real) (X:real), (((ord_less_eq_real Y) X)->(((eq real) ((ord_max_real X) Y)) X))) of role axiom named fact_24_max__absorb1
% 0.43/0.62 A new axiom: (forall (Y:real) (X:real), (((ord_less_eq_real Y) X)->(((eq real) ((ord_max_real X) Y)) X)))
% 0.43/0.62 FOF formula (forall (Y:nat) (X:nat), (((ord_less_eq_nat Y) X)->(((eq nat) ((ord_max_nat X) Y)) X))) of role axiom named fact_25_max__absorb1
% 0.43/0.62 A new axiom: (forall (Y:nat) (X:nat), (((ord_less_eq_nat Y) X)->(((eq nat) ((ord_max_nat X) Y)) X)))
% 0.43/0.62 FOF formula (forall (X:real), ((ord_less_eq_real X) X)) of role axiom named fact_26_order__refl
% 0.43/0.62 A new axiom: (forall (X:real), ((ord_less_eq_real X) X))
% 0.43/0.62 FOF formula (forall (X:nat), ((ord_less_eq_nat X) X)) of role axiom named fact_27_order__refl
% 0.43/0.62 A new axiom: (forall (X:nat), ((ord_less_eq_nat X) X))
% 0.43/0.62 FOF formula (forall (A:real) (F:(real->real)) (B:real) (C:real), (((ord_less_eq_real A) (F B))->(((ord_less_eq_real B) C)->((forall (X2:real) (Y2:real), (((ord_less_eq_real X2) Y2)->((ord_less_eq_real (F X2)) (F Y2))))->((ord_less_eq_real A) (F C)))))) of role axiom named fact_28_order__subst1
% 0.43/0.62 A new axiom: (forall (A:real) (F:(real->real)) (B:real) (C:real), (((ord_less_eq_real A) (F B))->(((ord_less_eq_real B) C)->((forall (X2:real) (Y2:real), (((ord_less_eq_real X2) Y2)->((ord_less_eq_real (F X2)) (F Y2))))->((ord_less_eq_real A) (F C))))))
% 0.43/0.62 FOF formula (forall (A:real) (F:(nat->real)) (B:nat) (C:nat), (((ord_less_eq_real A) (F B))->(((ord_less_eq_nat B) C)->((forall (X2:nat) (Y2:nat), (((ord_less_eq_nat X2) Y2)->((ord_less_eq_real (F X2)) (F Y2))))->((ord_less_eq_real A) (F C)))))) of role axiom named fact_29_order__subst1
% 0.43/0.62 A new axiom: (forall (A:real) (F:(nat->real)) (B:nat) (C:nat), (((ord_less_eq_real A) (F B))->(((ord_less_eq_nat B) C)->((forall (X2:nat) (Y2:nat), (((ord_less_eq_nat X2) Y2)->((ord_less_eq_real (F X2)) (F Y2))))->((ord_less_eq_real A) (F C))))))
% 0.43/0.62 FOF formula (forall (A:nat) (F:(real->nat)) (B:real) (C:real), (((ord_less_eq_nat A) (F B))->(((ord_less_eq_real B) C)->((forall (X2:real) (Y2:real), (((ord_less_eq_real X2) Y2)->((ord_less_eq_nat (F X2)) (F Y2))))->((ord_less_eq_nat A) (F C)))))) of role axiom named fact_30_order__subst1
% 0.48/0.64 A new axiom: (forall (A:nat) (F:(real->nat)) (B:real) (C:real), (((ord_less_eq_nat A) (F B))->(((ord_less_eq_real B) C)->((forall (X2:real) (Y2:real), (((ord_less_eq_real X2) Y2)->((ord_less_eq_nat (F X2)) (F Y2))))->((ord_less_eq_nat A) (F C))))))
% 0.48/0.64 FOF formula (forall (A:nat) (F:(nat->nat)) (B:nat) (C:nat), (((ord_less_eq_nat A) (F B))->(((ord_less_eq_nat B) C)->((forall (X2:nat) (Y2:nat), (((ord_less_eq_nat X2) Y2)->((ord_less_eq_nat (F X2)) (F Y2))))->((ord_less_eq_nat A) (F C)))))) of role axiom named fact_31_order__subst1
% 0.48/0.64 A new axiom: (forall (A:nat) (F:(nat->nat)) (B:nat) (C:nat), (((ord_less_eq_nat A) (F B))->(((ord_less_eq_nat B) C)->((forall (X2:nat) (Y2:nat), (((ord_less_eq_nat X2) Y2)->((ord_less_eq_nat (F X2)) (F Y2))))->((ord_less_eq_nat A) (F C))))))
% 0.48/0.64 FOF formula (forall (A:real) (B:real) (F:(real->real)) (C:real), (((ord_less_eq_real A) B)->(((ord_less_eq_real (F B)) C)->((forall (X2:real) (Y2:real), (((ord_less_eq_real X2) Y2)->((ord_less_eq_real (F X2)) (F Y2))))->((ord_less_eq_real (F A)) C))))) of role axiom named fact_32_order__subst2
% 0.48/0.64 A new axiom: (forall (A:real) (B:real) (F:(real->real)) (C:real), (((ord_less_eq_real A) B)->(((ord_less_eq_real (F B)) C)->((forall (X2:real) (Y2:real), (((ord_less_eq_real X2) Y2)->((ord_less_eq_real (F X2)) (F Y2))))->((ord_less_eq_real (F A)) C)))))
% 0.48/0.64 FOF formula (forall (A:real) (B:real) (F:(real->nat)) (C:nat), (((ord_less_eq_real A) B)->(((ord_less_eq_nat (F B)) C)->((forall (X2:real) (Y2:real), (((ord_less_eq_real X2) Y2)->((ord_less_eq_nat (F X2)) (F Y2))))->((ord_less_eq_nat (F A)) C))))) of role axiom named fact_33_order__subst2
% 0.48/0.64 A new axiom: (forall (A:real) (B:real) (F:(real->nat)) (C:nat), (((ord_less_eq_real A) B)->(((ord_less_eq_nat (F B)) C)->((forall (X2:real) (Y2:real), (((ord_less_eq_real X2) Y2)->((ord_less_eq_nat (F X2)) (F Y2))))->((ord_less_eq_nat (F A)) C)))))
% 0.48/0.64 FOF formula (forall (A:nat) (B:nat) (F:(nat->real)) (C:real), (((ord_less_eq_nat A) B)->(((ord_less_eq_real (F B)) C)->((forall (X2:nat) (Y2:nat), (((ord_less_eq_nat X2) Y2)->((ord_less_eq_real (F X2)) (F Y2))))->((ord_less_eq_real (F A)) C))))) of role axiom named fact_34_order__subst2
% 0.48/0.64 A new axiom: (forall (A:nat) (B:nat) (F:(nat->real)) (C:real), (((ord_less_eq_nat A) B)->(((ord_less_eq_real (F B)) C)->((forall (X2:nat) (Y2:nat), (((ord_less_eq_nat X2) Y2)->((ord_less_eq_real (F X2)) (F Y2))))->((ord_less_eq_real (F A)) C)))))
% 0.48/0.64 FOF formula (forall (A:nat) (B:nat) (F:(nat->nat)) (C:nat), (((ord_less_eq_nat A) B)->(((ord_less_eq_nat (F B)) C)->((forall (X2:nat) (Y2:nat), (((ord_less_eq_nat X2) Y2)->((ord_less_eq_nat (F X2)) (F Y2))))->((ord_less_eq_nat (F A)) C))))) of role axiom named fact_35_order__subst2
% 0.48/0.64 A new axiom: (forall (A:nat) (B:nat) (F:(nat->nat)) (C:nat), (((ord_less_eq_nat A) B)->(((ord_less_eq_nat (F B)) C)->((forall (X2:nat) (Y2:nat), (((ord_less_eq_nat X2) Y2)->((ord_less_eq_nat (F X2)) (F Y2))))->((ord_less_eq_nat (F A)) C)))))
% 0.48/0.64 FOF formula (forall (A:real) (F:(real->real)) (B:real) (C:real), ((((eq real) A) (F B))->(((ord_less_eq_real B) C)->((forall (X2:real) (Y2:real), (((ord_less_eq_real X2) Y2)->((ord_less_eq_real (F X2)) (F Y2))))->((ord_less_eq_real A) (F C)))))) of role axiom named fact_36_ord__eq__le__subst
% 0.48/0.64 A new axiom: (forall (A:real) (F:(real->real)) (B:real) (C:real), ((((eq real) A) (F B))->(((ord_less_eq_real B) C)->((forall (X2:real) (Y2:real), (((ord_less_eq_real X2) Y2)->((ord_less_eq_real (F X2)) (F Y2))))->((ord_less_eq_real A) (F C))))))
% 0.48/0.64 FOF formula (forall (A:nat) (F:(real->nat)) (B:real) (C:real), ((((eq nat) A) (F B))->(((ord_less_eq_real B) C)->((forall (X2:real) (Y2:real), (((ord_less_eq_real X2) Y2)->((ord_less_eq_nat (F X2)) (F Y2))))->((ord_less_eq_nat A) (F C)))))) of role axiom named fact_37_ord__eq__le__subst
% 0.48/0.64 A new axiom: (forall (A:nat) (F:(real->nat)) (B:real) (C:real), ((((eq nat) A) (F B))->(((ord_less_eq_real B) C)->((forall (X2:real) (Y2:real), (((ord_less_eq_real X2) Y2)->((ord_less_eq_nat (F X2)) (F Y2))))->((ord_less_eq_nat A) (F C))))))
% 0.49/0.66 FOF formula (forall (A:real) (F:(nat->real)) (B:nat) (C:nat), ((((eq real) A) (F B))->(((ord_less_eq_nat B) C)->((forall (X2:nat) (Y2:nat), (((ord_less_eq_nat X2) Y2)->((ord_less_eq_real (F X2)) (F Y2))))->((ord_less_eq_real A) (F C)))))) of role axiom named fact_38_ord__eq__le__subst
% 0.49/0.66 A new axiom: (forall (A:real) (F:(nat->real)) (B:nat) (C:nat), ((((eq real) A) (F B))->(((ord_less_eq_nat B) C)->((forall (X2:nat) (Y2:nat), (((ord_less_eq_nat X2) Y2)->((ord_less_eq_real (F X2)) (F Y2))))->((ord_less_eq_real A) (F C))))))
% 0.49/0.66 FOF formula (forall (A:nat) (F:(nat->nat)) (B:nat) (C:nat), ((((eq nat) A) (F B))->(((ord_less_eq_nat B) C)->((forall (X2:nat) (Y2:nat), (((ord_less_eq_nat X2) Y2)->((ord_less_eq_nat (F X2)) (F Y2))))->((ord_less_eq_nat A) (F C)))))) of role axiom named fact_39_ord__eq__le__subst
% 0.49/0.66 A new axiom: (forall (A:nat) (F:(nat->nat)) (B:nat) (C:nat), ((((eq nat) A) (F B))->(((ord_less_eq_nat B) C)->((forall (X2:nat) (Y2:nat), (((ord_less_eq_nat X2) Y2)->((ord_less_eq_nat (F X2)) (F Y2))))->((ord_less_eq_nat A) (F C))))))
% 0.49/0.66 FOF formula (forall (A:real) (B:real) (F:(real->real)) (C:real), (((ord_less_eq_real A) B)->((((eq real) (F B)) C)->((forall (X2:real) (Y2:real), (((ord_less_eq_real X2) Y2)->((ord_less_eq_real (F X2)) (F Y2))))->((ord_less_eq_real (F A)) C))))) of role axiom named fact_40_ord__le__eq__subst
% 0.49/0.66 A new axiom: (forall (A:real) (B:real) (F:(real->real)) (C:real), (((ord_less_eq_real A) B)->((((eq real) (F B)) C)->((forall (X2:real) (Y2:real), (((ord_less_eq_real X2) Y2)->((ord_less_eq_real (F X2)) (F Y2))))->((ord_less_eq_real (F A)) C)))))
% 0.49/0.66 FOF formula (forall (A:real) (B:real) (F:(real->nat)) (C:nat), (((ord_less_eq_real A) B)->((((eq nat) (F B)) C)->((forall (X2:real) (Y2:real), (((ord_less_eq_real X2) Y2)->((ord_less_eq_nat (F X2)) (F Y2))))->((ord_less_eq_nat (F A)) C))))) of role axiom named fact_41_ord__le__eq__subst
% 0.49/0.66 A new axiom: (forall (A:real) (B:real) (F:(real->nat)) (C:nat), (((ord_less_eq_real A) B)->((((eq nat) (F B)) C)->((forall (X2:real) (Y2:real), (((ord_less_eq_real X2) Y2)->((ord_less_eq_nat (F X2)) (F Y2))))->((ord_less_eq_nat (F A)) C)))))
% 0.49/0.66 FOF formula (forall (A:nat) (B:nat) (F:(nat->real)) (C:real), (((ord_less_eq_nat A) B)->((((eq real) (F B)) C)->((forall (X2:nat) (Y2:nat), (((ord_less_eq_nat X2) Y2)->((ord_less_eq_real (F X2)) (F Y2))))->((ord_less_eq_real (F A)) C))))) of role axiom named fact_42_ord__le__eq__subst
% 0.49/0.66 A new axiom: (forall (A:nat) (B:nat) (F:(nat->real)) (C:real), (((ord_less_eq_nat A) B)->((((eq real) (F B)) C)->((forall (X2:nat) (Y2:nat), (((ord_less_eq_nat X2) Y2)->((ord_less_eq_real (F X2)) (F Y2))))->((ord_less_eq_real (F A)) C)))))
% 0.49/0.66 FOF formula (forall (A:nat) (B:nat) (F:(nat->nat)) (C:nat), (((ord_less_eq_nat A) B)->((((eq nat) (F B)) C)->((forall (X2:nat) (Y2:nat), (((ord_less_eq_nat X2) Y2)->((ord_less_eq_nat (F X2)) (F Y2))))->((ord_less_eq_nat (F A)) C))))) of role axiom named fact_43_ord__le__eq__subst
% 0.49/0.66 A new axiom: (forall (A:nat) (B:nat) (F:(nat->nat)) (C:nat), (((ord_less_eq_nat A) B)->((((eq nat) (F B)) C)->((forall (X2:nat) (Y2:nat), (((ord_less_eq_nat X2) Y2)->((ord_less_eq_nat (F X2)) (F Y2))))->((ord_less_eq_nat (F A)) C)))))
% 0.49/0.66 FOF formula (((eq (real->(real->Prop))) (fun (Y3:real) (Z:real)=> (((eq real) Y3) Z))) (fun (X3:real) (Y4:real)=> ((and ((ord_less_eq_real X3) Y4)) ((ord_less_eq_real Y4) X3)))) of role axiom named fact_44_eq__iff
% 0.49/0.66 A new axiom: (((eq (real->(real->Prop))) (fun (Y3:real) (Z:real)=> (((eq real) Y3) Z))) (fun (X3:real) (Y4:real)=> ((and ((ord_less_eq_real X3) Y4)) ((ord_less_eq_real Y4) X3))))
% 0.49/0.66 FOF formula (((eq (nat->(nat->Prop))) (fun (Y3:nat) (Z:nat)=> (((eq nat) Y3) Z))) (fun (X3:nat) (Y4:nat)=> ((and ((ord_less_eq_nat X3) Y4)) ((ord_less_eq_nat Y4) X3)))) of role axiom named fact_45_eq__iff
% 0.49/0.66 A new axiom: (((eq (nat->(nat->Prop))) (fun (Y3:nat) (Z:nat)=> (((eq nat) Y3) Z))) (fun (X3:nat) (Y4:nat)=> ((and ((ord_less_eq_nat X3) Y4)) ((ord_less_eq_nat Y4) X3))))
% 0.49/0.66 FOF formula (forall (X:real) (Y:real), (((ord_less_eq_real X) Y)->(((ord_less_eq_real Y) X)->(((eq real) X) Y)))) of role axiom named fact_46_antisym
% 0.49/0.68 A new axiom: (forall (X:real) (Y:real), (((ord_less_eq_real X) Y)->(((ord_less_eq_real Y) X)->(((eq real) X) Y))))
% 0.49/0.68 FOF formula (forall (X:nat) (Y:nat), (((ord_less_eq_nat X) Y)->(((ord_less_eq_nat Y) X)->(((eq nat) X) Y)))) of role axiom named fact_47_antisym
% 0.49/0.68 A new axiom: (forall (X:nat) (Y:nat), (((ord_less_eq_nat X) Y)->(((ord_less_eq_nat Y) X)->(((eq nat) X) Y))))
% 0.49/0.68 FOF formula (forall (X:real) (Y:real), ((or ((ord_less_eq_real X) Y)) ((ord_less_eq_real Y) X))) of role axiom named fact_48_linear
% 0.49/0.68 A new axiom: (forall (X:real) (Y:real), ((or ((ord_less_eq_real X) Y)) ((ord_less_eq_real Y) X)))
% 0.49/0.68 FOF formula (forall (X:nat) (Y:nat), ((or ((ord_less_eq_nat X) Y)) ((ord_less_eq_nat Y) X))) of role axiom named fact_49_linear
% 0.49/0.68 A new axiom: (forall (X:nat) (Y:nat), ((or ((ord_less_eq_nat X) Y)) ((ord_less_eq_nat Y) X)))
% 0.49/0.68 FOF formula (forall (X:real) (Y:real), ((((eq real) X) Y)->((ord_less_eq_real X) Y))) of role axiom named fact_50_eq__refl
% 0.49/0.68 A new axiom: (forall (X:real) (Y:real), ((((eq real) X) Y)->((ord_less_eq_real X) Y)))
% 0.49/0.68 FOF formula (forall (X:nat) (Y:nat), ((((eq nat) X) Y)->((ord_less_eq_nat X) Y))) of role axiom named fact_51_eq__refl
% 0.49/0.68 A new axiom: (forall (X:nat) (Y:nat), ((((eq nat) X) Y)->((ord_less_eq_nat X) Y)))
% 0.49/0.68 FOF formula (forall (X:real) (Y:real), ((((ord_less_eq_real X) Y)->False)->((ord_less_eq_real Y) X))) of role axiom named fact_52_le__cases
% 0.49/0.68 A new axiom: (forall (X:real) (Y:real), ((((ord_less_eq_real X) Y)->False)->((ord_less_eq_real Y) X)))
% 0.49/0.68 FOF formula (forall (X:nat) (Y:nat), ((((ord_less_eq_nat X) Y)->False)->((ord_less_eq_nat Y) X))) of role axiom named fact_53_le__cases
% 0.49/0.68 A new axiom: (forall (X:nat) (Y:nat), ((((ord_less_eq_nat X) Y)->False)->((ord_less_eq_nat Y) X)))
% 0.49/0.68 FOF formula (forall (A:real) (B:real) (C:real), (((ord_less_eq_real A) B)->(((ord_less_eq_real B) C)->((ord_less_eq_real A) C)))) of role axiom named fact_54_order_Otrans
% 0.49/0.68 A new axiom: (forall (A:real) (B:real) (C:real), (((ord_less_eq_real A) B)->(((ord_less_eq_real B) C)->((ord_less_eq_real A) C))))
% 0.49/0.68 FOF formula (forall (A:nat) (B:nat) (C:nat), (((ord_less_eq_nat A) B)->(((ord_less_eq_nat B) C)->((ord_less_eq_nat A) C)))) of role axiom named fact_55_order_Otrans
% 0.49/0.68 A new axiom: (forall (A:nat) (B:nat) (C:nat), (((ord_less_eq_nat A) B)->(((ord_less_eq_nat B) C)->((ord_less_eq_nat A) C))))
% 0.49/0.68 FOF formula (forall (X:real) (Y:real) (Z2:real), ((((ord_less_eq_real X) Y)->(((ord_less_eq_real Y) Z2)->False))->((((ord_less_eq_real Y) X)->(((ord_less_eq_real X) Z2)->False))->((((ord_less_eq_real X) Z2)->(((ord_less_eq_real Z2) Y)->False))->((((ord_less_eq_real Z2) Y)->(((ord_less_eq_real Y) X)->False))->((((ord_less_eq_real Y) Z2)->(((ord_less_eq_real Z2) X)->False))->((((ord_less_eq_real Z2) X)->(((ord_less_eq_real X) Y)->False))->False))))))) of role axiom named fact_56_le__cases3
% 0.49/0.68 A new axiom: (forall (X:real) (Y:real) (Z2:real), ((((ord_less_eq_real X) Y)->(((ord_less_eq_real Y) Z2)->False))->((((ord_less_eq_real Y) X)->(((ord_less_eq_real X) Z2)->False))->((((ord_less_eq_real X) Z2)->(((ord_less_eq_real Z2) Y)->False))->((((ord_less_eq_real Z2) Y)->(((ord_less_eq_real Y) X)->False))->((((ord_less_eq_real Y) Z2)->(((ord_less_eq_real Z2) X)->False))->((((ord_less_eq_real Z2) X)->(((ord_less_eq_real X) Y)->False))->False)))))))
% 0.49/0.68 FOF formula (forall (X:nat) (Y:nat) (Z2:nat), ((((ord_less_eq_nat X) Y)->(((ord_less_eq_nat Y) Z2)->False))->((((ord_less_eq_nat Y) X)->(((ord_less_eq_nat X) Z2)->False))->((((ord_less_eq_nat X) Z2)->(((ord_less_eq_nat Z2) Y)->False))->((((ord_less_eq_nat Z2) Y)->(((ord_less_eq_nat Y) X)->False))->((((ord_less_eq_nat Y) Z2)->(((ord_less_eq_nat Z2) X)->False))->((((ord_less_eq_nat Z2) X)->(((ord_less_eq_nat X) Y)->False))->False))))))) of role axiom named fact_57_le__cases3
% 0.49/0.68 A new axiom: (forall (X:nat) (Y:nat) (Z2:nat), ((((ord_less_eq_nat X) Y)->(((ord_less_eq_nat Y) Z2)->False))->((((ord_less_eq_nat Y) X)->(((ord_less_eq_nat X) Z2)->False))->((((ord_less_eq_nat X) Z2)->(((ord_less_eq_nat Z2) Y)->False))->((((ord_less_eq_nat Z2) Y)->(((ord_less_eq_nat Y) X)->False))->((((ord_less_eq_nat Y) Z2)->(((ord_less_eq_nat Z2) X)->False))->((((ord_less_eq_nat Z2) X)->(((ord_less_eq_nat X) Y)->False))->False)))))))
% 0.49/0.69 FOF formula (forall (Y:real) (X:real), (((ord_less_eq_real Y) X)->(((eq Prop) ((ord_less_eq_real X) Y)) (((eq real) X) Y)))) of role axiom named fact_58_antisym__conv
% 0.49/0.69 A new axiom: (forall (Y:real) (X:real), (((ord_less_eq_real Y) X)->(((eq Prop) ((ord_less_eq_real X) Y)) (((eq real) X) Y))))
% 0.49/0.69 FOF formula (forall (Y:nat) (X:nat), (((ord_less_eq_nat Y) X)->(((eq Prop) ((ord_less_eq_nat X) Y)) (((eq nat) X) Y)))) of role axiom named fact_59_antisym__conv
% 0.49/0.69 A new axiom: (forall (Y:nat) (X:nat), (((ord_less_eq_nat Y) X)->(((eq Prop) ((ord_less_eq_nat X) Y)) (((eq nat) X) Y))))
% 0.49/0.69 FOF formula (((eq (real->(real->Prop))) (fun (Y3:real) (Z:real)=> (((eq real) Y3) Z))) (fun (A2:real) (B2:real)=> ((and ((ord_less_eq_real A2) B2)) ((ord_less_eq_real B2) A2)))) of role axiom named fact_60_order__class_Oorder_Oeq__iff
% 0.49/0.69 A new axiom: (((eq (real->(real->Prop))) (fun (Y3:real) (Z:real)=> (((eq real) Y3) Z))) (fun (A2:real) (B2:real)=> ((and ((ord_less_eq_real A2) B2)) ((ord_less_eq_real B2) A2))))
% 0.49/0.69 FOF formula (((eq (nat->(nat->Prop))) (fun (Y3:nat) (Z:nat)=> (((eq nat) Y3) Z))) (fun (A2:nat) (B2:nat)=> ((and ((ord_less_eq_nat A2) B2)) ((ord_less_eq_nat B2) A2)))) of role axiom named fact_61_order__class_Oorder_Oeq__iff
% 0.49/0.69 A new axiom: (((eq (nat->(nat->Prop))) (fun (Y3:nat) (Z:nat)=> (((eq nat) Y3) Z))) (fun (A2:nat) (B2:nat)=> ((and ((ord_less_eq_nat A2) B2)) ((ord_less_eq_nat B2) A2))))
% 0.49/0.69 FOF formula (forall (A:real) (B:real) (C:real), ((((eq real) A) B)->(((ord_less_eq_real B) C)->((ord_less_eq_real A) C)))) of role axiom named fact_62_ord__eq__le__trans
% 0.49/0.69 A new axiom: (forall (A:real) (B:real) (C:real), ((((eq real) A) B)->(((ord_less_eq_real B) C)->((ord_less_eq_real A) C))))
% 0.49/0.69 FOF formula (forall (A:nat) (B:nat) (C:nat), ((((eq nat) A) B)->(((ord_less_eq_nat B) C)->((ord_less_eq_nat A) C)))) of role axiom named fact_63_ord__eq__le__trans
% 0.49/0.69 A new axiom: (forall (A:nat) (B:nat) (C:nat), ((((eq nat) A) B)->(((ord_less_eq_nat B) C)->((ord_less_eq_nat A) C))))
% 0.49/0.69 FOF formula (forall (A:real) (B:real) (C:real), (((ord_less_eq_real A) B)->((((eq real) B) C)->((ord_less_eq_real A) C)))) of role axiom named fact_64_ord__le__eq__trans
% 0.49/0.69 A new axiom: (forall (A:real) (B:real) (C:real), (((ord_less_eq_real A) B)->((((eq real) B) C)->((ord_less_eq_real A) C))))
% 0.49/0.69 FOF formula (forall (A:nat) (B:nat) (C:nat), (((ord_less_eq_nat A) B)->((((eq nat) B) C)->((ord_less_eq_nat A) C)))) of role axiom named fact_65_ord__le__eq__trans
% 0.49/0.69 A new axiom: (forall (A:nat) (B:nat) (C:nat), (((ord_less_eq_nat A) B)->((((eq nat) B) C)->((ord_less_eq_nat A) C))))
% 0.49/0.69 FOF formula (forall (A:real) (B:real), (((ord_less_eq_real A) B)->(((ord_less_eq_real B) A)->(((eq real) A) B)))) of role axiom named fact_66_order__class_Oorder_Oantisym
% 0.49/0.69 A new axiom: (forall (A:real) (B:real), (((ord_less_eq_real A) B)->(((ord_less_eq_real B) A)->(((eq real) A) B))))
% 0.49/0.69 FOF formula (forall (A:nat) (B:nat), (((ord_less_eq_nat A) B)->(((ord_less_eq_nat B) A)->(((eq nat) A) B)))) of role axiom named fact_67_order__class_Oorder_Oantisym
% 0.49/0.69 A new axiom: (forall (A:nat) (B:nat), (((ord_less_eq_nat A) B)->(((ord_less_eq_nat B) A)->(((eq nat) A) B))))
% 0.49/0.69 FOF formula (forall (X:real) (Y:real) (Z2:real), (((ord_less_eq_real X) Y)->(((ord_less_eq_real Y) Z2)->((ord_less_eq_real X) Z2)))) of role axiom named fact_68_order__trans
% 0.49/0.69 A new axiom: (forall (X:real) (Y:real) (Z2:real), (((ord_less_eq_real X) Y)->(((ord_less_eq_real Y) Z2)->((ord_less_eq_real X) Z2))))
% 0.49/0.69 FOF formula (forall (X:nat) (Y:nat) (Z2:nat), (((ord_less_eq_nat X) Y)->(((ord_less_eq_nat Y) Z2)->((ord_less_eq_nat X) Z2)))) of role axiom named fact_69_order__trans
% 0.49/0.69 A new axiom: (forall (X:nat) (Y:nat) (Z2:nat), (((ord_less_eq_nat X) Y)->(((ord_less_eq_nat Y) Z2)->((ord_less_eq_nat X) Z2))))
% 0.49/0.69 FOF formula (forall (A:real), ((ord_less_eq_real A) A)) of role axiom named fact_70_dual__order_Orefl
% 0.49/0.69 A new axiom: (forall (A:real), ((ord_less_eq_real A) A))
% 0.49/0.69 FOF formula (forall (A:nat), ((ord_less_eq_nat A) A)) of role axiom named fact_71_dual__order_Orefl
% 0.49/0.71 A new axiom: (forall (A:nat), ((ord_less_eq_nat A) A))
% 0.49/0.71 FOF formula (forall (P3:(real->(real->Prop))) (A:real) (B:real), ((forall (A3:real) (B3:real), (((ord_less_eq_real A3) B3)->((P3 A3) B3)))->((forall (A3:real) (B3:real), (((P3 B3) A3)->((P3 A3) B3)))->((P3 A) B)))) of role axiom named fact_72_linorder__wlog
% 0.49/0.71 A new axiom: (forall (P3:(real->(real->Prop))) (A:real) (B:real), ((forall (A3:real) (B3:real), (((ord_less_eq_real A3) B3)->((P3 A3) B3)))->((forall (A3:real) (B3:real), (((P3 B3) A3)->((P3 A3) B3)))->((P3 A) B))))
% 0.49/0.71 FOF formula (forall (P3:(nat->(nat->Prop))) (A:nat) (B:nat), ((forall (A3:nat) (B3:nat), (((ord_less_eq_nat A3) B3)->((P3 A3) B3)))->((forall (A3:nat) (B3:nat), (((P3 B3) A3)->((P3 A3) B3)))->((P3 A) B)))) of role axiom named fact_73_linorder__wlog
% 0.49/0.71 A new axiom: (forall (P3:(nat->(nat->Prop))) (A:nat) (B:nat), ((forall (A3:nat) (B3:nat), (((ord_less_eq_nat A3) B3)->((P3 A3) B3)))->((forall (A3:nat) (B3:nat), (((P3 B3) A3)->((P3 A3) B3)))->((P3 A) B))))
% 0.49/0.71 FOF formula (forall (B:real) (A:real) (C:real), (((ord_less_eq_real B) A)->(((ord_less_eq_real C) B)->((ord_less_eq_real C) A)))) of role axiom named fact_74_dual__order_Otrans
% 0.49/0.71 A new axiom: (forall (B:real) (A:real) (C:real), (((ord_less_eq_real B) A)->(((ord_less_eq_real C) B)->((ord_less_eq_real C) A))))
% 0.49/0.71 FOF formula (forall (B:nat) (A:nat) (C:nat), (((ord_less_eq_nat B) A)->(((ord_less_eq_nat C) B)->((ord_less_eq_nat C) A)))) of role axiom named fact_75_dual__order_Otrans
% 0.49/0.71 A new axiom: (forall (B:nat) (A:nat) (C:nat), (((ord_less_eq_nat B) A)->(((ord_less_eq_nat C) B)->((ord_less_eq_nat C) A))))
% 0.49/0.71 FOF formula (((eq (real->(real->Prop))) (fun (Y3:real) (Z:real)=> (((eq real) Y3) Z))) (fun (A2:real) (B2:real)=> ((and ((ord_less_eq_real B2) A2)) ((ord_less_eq_real A2) B2)))) of role axiom named fact_76_dual__order_Oeq__iff
% 0.49/0.71 A new axiom: (((eq (real->(real->Prop))) (fun (Y3:real) (Z:real)=> (((eq real) Y3) Z))) (fun (A2:real) (B2:real)=> ((and ((ord_less_eq_real B2) A2)) ((ord_less_eq_real A2) B2))))
% 0.49/0.71 FOF formula (((eq (nat->(nat->Prop))) (fun (Y3:nat) (Z:nat)=> (((eq nat) Y3) Z))) (fun (A2:nat) (B2:nat)=> ((and ((ord_less_eq_nat B2) A2)) ((ord_less_eq_nat A2) B2)))) of role axiom named fact_77_dual__order_Oeq__iff
% 0.49/0.71 A new axiom: (((eq (nat->(nat->Prop))) (fun (Y3:nat) (Z:nat)=> (((eq nat) Y3) Z))) (fun (A2:nat) (B2:nat)=> ((and ((ord_less_eq_nat B2) A2)) ((ord_less_eq_nat A2) B2))))
% 0.49/0.71 FOF formula (forall (B:real) (A:real), (((ord_less_eq_real B) A)->(((ord_less_eq_real A) B)->(((eq real) A) B)))) of role axiom named fact_78_dual__order_Oantisym
% 0.49/0.71 A new axiom: (forall (B:real) (A:real), (((ord_less_eq_real B) A)->(((ord_less_eq_real A) B)->(((eq real) A) B))))
% 0.49/0.71 FOF formula (forall (B:nat) (A:nat), (((ord_less_eq_nat B) A)->(((ord_less_eq_nat A) B)->(((eq nat) A) B)))) of role axiom named fact_79_dual__order_Oantisym
% 0.49/0.71 A new axiom: (forall (B:nat) (A:nat), (((ord_less_eq_nat B) A)->(((ord_less_eq_nat A) B)->(((eq nat) A) B))))
% 0.49/0.71 FOF formula (forall (C:real) (B:real) (A:real), (((ord_less_eq_real C) B)->((ord_less_eq_real C) ((ord_max_real A) B)))) of role axiom named fact_80_max_OcoboundedI2
% 0.49/0.71 A new axiom: (forall (C:real) (B:real) (A:real), (((ord_less_eq_real C) B)->((ord_less_eq_real C) ((ord_max_real A) B))))
% 0.49/0.71 FOF formula (forall (C:nat) (B:nat) (A:nat), (((ord_less_eq_nat C) B)->((ord_less_eq_nat C) ((ord_max_nat A) B)))) of role axiom named fact_81_max_OcoboundedI2
% 0.49/0.71 A new axiom: (forall (C:nat) (B:nat) (A:nat), (((ord_less_eq_nat C) B)->((ord_less_eq_nat C) ((ord_max_nat A) B))))
% 0.49/0.71 FOF formula (forall (C:real) (A:real) (B:real), (((ord_less_eq_real C) A)->((ord_less_eq_real C) ((ord_max_real A) B)))) of role axiom named fact_82_max_OcoboundedI1
% 0.49/0.71 A new axiom: (forall (C:real) (A:real) (B:real), (((ord_less_eq_real C) A)->((ord_less_eq_real C) ((ord_max_real A) B))))
% 0.49/0.71 FOF formula (forall (C:nat) (A:nat) (B:nat), (((ord_less_eq_nat C) A)->((ord_less_eq_nat C) ((ord_max_nat A) B)))) of role axiom named fact_83_max_OcoboundedI1
% 0.49/0.71 A new axiom: (forall (C:nat) (A:nat) (B:nat), (((ord_less_eq_nat C) A)->((ord_less_eq_nat C) ((ord_max_nat A) B))))
% 0.49/0.71 FOF formula (((eq (real->(real->Prop))) ord_less_eq_real) (fun (A2:real) (B2:real)=> (((eq real) ((ord_max_real A2) B2)) B2))) of role axiom named fact_84_max_Oabsorb__iff2
% 0.56/0.72 A new axiom: (((eq (real->(real->Prop))) ord_less_eq_real) (fun (A2:real) (B2:real)=> (((eq real) ((ord_max_real A2) B2)) B2)))
% 0.56/0.72 FOF formula (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (A2:nat) (B2:nat)=> (((eq nat) ((ord_max_nat A2) B2)) B2))) of role axiom named fact_85_max_Oabsorb__iff2
% 0.56/0.72 A new axiom: (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (A2:nat) (B2:nat)=> (((eq nat) ((ord_max_nat A2) B2)) B2)))
% 0.56/0.72 FOF formula (((eq (real->(real->Prop))) ord_less_eq_real) (fun (B2:real) (A2:real)=> (((eq real) ((ord_max_real A2) B2)) A2))) of role axiom named fact_86_max_Oabsorb__iff1
% 0.56/0.72 A new axiom: (((eq (real->(real->Prop))) ord_less_eq_real) (fun (B2:real) (A2:real)=> (((eq real) ((ord_max_real A2) B2)) A2)))
% 0.56/0.72 FOF formula (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (B2:nat) (A2:nat)=> (((eq nat) ((ord_max_nat A2) B2)) A2))) of role axiom named fact_87_max_Oabsorb__iff1
% 0.56/0.72 A new axiom: (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (B2:nat) (A2:nat)=> (((eq nat) ((ord_max_nat A2) B2)) A2)))
% 0.56/0.72 FOF formula (forall (Z2:real) (X:real) (Y:real), (((eq Prop) ((ord_less_eq_real Z2) ((ord_max_real X) Y))) ((or ((ord_less_eq_real Z2) X)) ((ord_less_eq_real Z2) Y)))) of role axiom named fact_88_le__max__iff__disj
% 0.56/0.72 A new axiom: (forall (Z2:real) (X:real) (Y:real), (((eq Prop) ((ord_less_eq_real Z2) ((ord_max_real X) Y))) ((or ((ord_less_eq_real Z2) X)) ((ord_less_eq_real Z2) Y))))
% 0.56/0.72 FOF formula (forall (Z2:nat) (X:nat) (Y:nat), (((eq Prop) ((ord_less_eq_nat Z2) ((ord_max_nat X) Y))) ((or ((ord_less_eq_nat Z2) X)) ((ord_less_eq_nat Z2) Y)))) of role axiom named fact_89_le__max__iff__disj
% 0.56/0.72 A new axiom: (forall (Z2:nat) (X:nat) (Y:nat), (((eq Prop) ((ord_less_eq_nat Z2) ((ord_max_nat X) Y))) ((or ((ord_less_eq_nat Z2) X)) ((ord_less_eq_nat Z2) Y))))
% 0.56/0.72 FOF formula (forall (B:real) (A:real), ((ord_less_eq_real B) ((ord_max_real A) B))) of role axiom named fact_90_max_Ocobounded2
% 0.56/0.72 A new axiom: (forall (B:real) (A:real), ((ord_less_eq_real B) ((ord_max_real A) B)))
% 0.56/0.72 FOF formula (forall (B:nat) (A:nat), ((ord_less_eq_nat B) ((ord_max_nat A) B))) of role axiom named fact_91_max_Ocobounded2
% 0.56/0.72 A new axiom: (forall (B:nat) (A:nat), ((ord_less_eq_nat B) ((ord_max_nat A) B)))
% 0.56/0.72 FOF formula (forall (A:real) (B:real), ((ord_less_eq_real A) ((ord_max_real A) B))) of role axiom named fact_92_max_Ocobounded1
% 0.56/0.72 A new axiom: (forall (A:real) (B:real), ((ord_less_eq_real A) ((ord_max_real A) B)))
% 0.56/0.72 FOF formula (forall (A:nat) (B:nat), ((ord_less_eq_nat A) ((ord_max_nat A) B))) of role axiom named fact_93_max_Ocobounded1
% 0.56/0.72 A new axiom: (forall (A:nat) (B:nat), ((ord_less_eq_nat A) ((ord_max_nat A) B)))
% 0.56/0.72 FOF formula (((eq (real->(real->Prop))) ord_less_eq_real) (fun (B2:real) (A2:real)=> (((eq real) A2) ((ord_max_real A2) B2)))) of role axiom named fact_94_max_Oorder__iff
% 0.56/0.72 A new axiom: (((eq (real->(real->Prop))) ord_less_eq_real) (fun (B2:real) (A2:real)=> (((eq real) A2) ((ord_max_real A2) B2))))
% 0.56/0.72 FOF formula (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (B2:nat) (A2:nat)=> (((eq nat) A2) ((ord_max_nat A2) B2)))) of role axiom named fact_95_max_Oorder__iff
% 0.56/0.72 A new axiom: (((eq (nat->(nat->Prop))) ord_less_eq_nat) (fun (B2:nat) (A2:nat)=> (((eq nat) A2) ((ord_max_nat A2) B2))))
% 0.56/0.72 FOF formula (forall (B:real) (A:real) (C:real), (((ord_less_eq_real B) A)->(((ord_less_eq_real C) A)->((ord_less_eq_real ((ord_max_real B) C)) A)))) of role axiom named fact_96_max_OboundedI
% 0.56/0.72 A new axiom: (forall (B:real) (A:real) (C:real), (((ord_less_eq_real B) A)->(((ord_less_eq_real C) A)->((ord_less_eq_real ((ord_max_real B) C)) A))))
% 0.56/0.72 FOF formula (forall (B:nat) (A:nat) (C:nat), (((ord_less_eq_nat B) A)->(((ord_less_eq_nat C) A)->((ord_less_eq_nat ((ord_max_nat B) C)) A)))) of role axiom named fact_97_max_OboundedI
% 0.56/0.72 A new axiom: (forall (B:nat) (A:nat) (C:nat), (((ord_less_eq_nat B) A)->(((ord_less_eq_nat C) A)->((ord_less_eq_nat ((ord_max_nat B) C)) A))))
% 0.56/0.72 FOF formula (forall (B:real) (C:real) (A:real), (((ord_less_eq_real ((ord_max_real B) C)) A)->((((ord_less_eq_real B) A)->(((ord_less_eq_real C) A)->False))->False))) of role axiom named fact_98_max_OboundedE
% 0.56/0.74 A new axiom: (forall (B:real) (C:real) (A:real), (((ord_less_eq_real ((ord_max_real B) C)) A)->((((ord_less_eq_real B) A)->(((ord_less_eq_real C) A)->False))->False)))
% 0.56/0.74 FOF formula (forall (B:nat) (C:nat) (A:nat), (((ord_less_eq_nat ((ord_max_nat B) C)) A)->((((ord_less_eq_nat B) A)->(((ord_less_eq_nat C) A)->False))->False))) of role axiom named fact_99_max_OboundedE
% 0.56/0.74 A new axiom: (forall (B:nat) (C:nat) (A:nat), (((ord_less_eq_nat ((ord_max_nat B) C)) A)->((((ord_less_eq_nat B) A)->(((ord_less_eq_nat C) A)->False))->False)))
% 0.56/0.74 FOF formula (forall (A:real) (B:real), (((ord_less_eq_real A) B)->(((eq real) ((ord_max_real A) B)) B))) of role axiom named fact_100_max_Oabsorb2
% 0.56/0.74 A new axiom: (forall (A:real) (B:real), (((ord_less_eq_real A) B)->(((eq real) ((ord_max_real A) B)) B)))
% 0.56/0.74 FOF formula (forall (A:nat) (B:nat), (((ord_less_eq_nat A) B)->(((eq nat) ((ord_max_nat A) B)) B))) of role axiom named fact_101_max_Oabsorb2
% 0.56/0.74 A new axiom: (forall (A:nat) (B:nat), (((ord_less_eq_nat A) B)->(((eq nat) ((ord_max_nat A) B)) B)))
% 0.56/0.74 FOF formula (forall (B:real) (A:real), (((ord_less_eq_real B) A)->(((eq real) ((ord_max_real A) B)) A))) of role axiom named fact_102_max_Oabsorb1
% 0.56/0.74 A new axiom: (forall (B:real) (A:real), (((ord_less_eq_real B) A)->(((eq real) ((ord_max_real A) B)) A)))
% 0.56/0.74 FOF formula (forall (B:nat) (A:nat), (((ord_less_eq_nat B) A)->(((eq nat) ((ord_max_nat A) B)) A))) of role axiom named fact_103_max_Oabsorb1
% 0.56/0.74 A new axiom: (forall (B:nat) (A:nat), (((ord_less_eq_nat B) A)->(((eq nat) ((ord_max_nat A) B)) A)))
% 0.56/0.74 FOF formula (forall (A:real) (B:real), ((((eq real) A) ((ord_max_real A) B))->((ord_less_eq_real B) A))) of role axiom named fact_104_max_OorderI
% 0.56/0.74 A new axiom: (forall (A:real) (B:real), ((((eq real) A) ((ord_max_real A) B))->((ord_less_eq_real B) A)))
% 0.56/0.74 FOF formula (forall (A:nat) (B:nat), ((((eq nat) A) ((ord_max_nat A) B))->((ord_less_eq_nat B) A))) of role axiom named fact_105_max_OorderI
% 0.56/0.74 A new axiom: (forall (A:nat) (B:nat), ((((eq nat) A) ((ord_max_nat A) B))->((ord_less_eq_nat B) A)))
% 0.56/0.74 FOF formula (forall (B:real) (A:real), (((ord_less_eq_real B) A)->(((eq real) A) ((ord_max_real A) B)))) of role axiom named fact_106_max_OorderE
% 0.56/0.74 A new axiom: (forall (B:real) (A:real), (((ord_less_eq_real B) A)->(((eq real) A) ((ord_max_real A) B))))
% 0.56/0.74 FOF formula (forall (B:nat) (A:nat), (((ord_less_eq_nat B) A)->(((eq nat) A) ((ord_max_nat A) B)))) of role axiom named fact_107_max_OorderE
% 0.56/0.74 A new axiom: (forall (B:nat) (A:nat), (((ord_less_eq_nat B) A)->(((eq nat) A) ((ord_max_nat A) B))))
% 0.56/0.74 FOF formula (forall (C:real) (A:real) (D:real) (B:real), (((ord_less_eq_real C) A)->(((ord_less_eq_real D) B)->((ord_less_eq_real ((ord_max_real C) D)) ((ord_max_real A) B))))) of role axiom named fact_108_max_Omono
% 0.56/0.74 A new axiom: (forall (C:real) (A:real) (D:real) (B:real), (((ord_less_eq_real C) A)->(((ord_less_eq_real D) B)->((ord_less_eq_real ((ord_max_real C) D)) ((ord_max_real A) B)))))
% 0.56/0.74 FOF formula (forall (C:nat) (A:nat) (D:nat) (B:nat), (((ord_less_eq_nat C) A)->(((ord_less_eq_nat D) B)->((ord_less_eq_nat ((ord_max_nat C) D)) ((ord_max_nat A) B))))) of role axiom named fact_109_max_Omono
% 0.56/0.74 A new axiom: (forall (C:nat) (A:nat) (D:nat) (B:nat), (((ord_less_eq_nat C) A)->(((ord_less_eq_nat D) B)->((ord_less_eq_nat ((ord_max_nat C) D)) ((ord_max_nat A) B)))))
% 0.56/0.74 FOF formula (((eq (real->(real->real))) ord_max_real) (fun (A2:real) (B2:real)=> (((if_real ((ord_less_eq_real A2) B2)) B2) A2))) of role axiom named fact_110_max__def
% 0.56/0.74 A new axiom: (((eq (real->(real->real))) ord_max_real) (fun (A2:real) (B2:real)=> (((if_real ((ord_less_eq_real A2) B2)) B2) A2)))
% 0.56/0.74 FOF formula (((eq (nat->(nat->nat))) ord_max_nat) (fun (A2:nat) (B2:nat)=> (((if_nat ((ord_less_eq_nat A2) B2)) B2) A2))) of role axiom named fact_111_max__def
% 0.56/0.74 A new axiom: (((eq (nat->(nat->nat))) ord_max_nat) (fun (A2:nat) (B2:nat)=> (((if_nat ((ord_less_eq_nat A2) B2)) B2) A2)))
% 0.56/0.74 FOF formula (forall (X:real) (Y:real), (((ord_less_eq_real X) Y)->(((eq real) ((ord_max_real X) Y)) Y))) of role axiom named fact_112_max__absorb2
% 0.56/0.75 A new axiom: (forall (X:real) (Y:real), (((ord_less_eq_real X) Y)->(((eq real) ((ord_max_real X) Y)) Y)))
% 0.56/0.75 FOF formula (forall (X:nat) (Y:nat), (((ord_less_eq_nat X) Y)->(((eq nat) ((ord_max_nat X) Y)) Y))) of role axiom named fact_113_max__absorb2
% 0.56/0.75 A new axiom: (forall (X:nat) (Y:nat), (((ord_less_eq_nat X) Y)->(((eq nat) ((ord_max_nat X) Y)) Y)))
% 0.56/0.75 FOF formula (((eq (nat->(real->Prop))) genClo208577157axsync) (fun (I2:nat) (X3:real)=> (forall (P4:nat) (Q:nat), (((and ((genClo1015804716orrect P4) ((ord_max_real ((genClo1163638703lle_te P4) I2)) ((genClo1163638703lle_te Q) I2)))) ((genClo1015804716orrect Q) ((ord_max_real ((genClo1163638703lle_te P4) I2)) ((genClo1163638703lle_te Q) I2))))->((ord_less_eq_real (abs_abs_real ((minus_minus_real (((genClo1160817912lle_IC P4) I2) ((ord_max_real ((genClo1163638703lle_te P4) I2)) ((genClo1163638703lle_te Q) I2)))) (((genClo1160817912lle_IC Q) I2) ((ord_max_real ((genClo1163638703lle_te P4) I2)) ((genClo1163638703lle_te Q) I2)))))) X3))))) of role axiom named fact_114_okmaxsync__def
% 0.56/0.75 A new axiom: (((eq (nat->(real->Prop))) genClo208577157axsync) (fun (I2:nat) (X3:real)=> (forall (P4:nat) (Q:nat), (((and ((genClo1015804716orrect P4) ((ord_max_real ((genClo1163638703lle_te P4) I2)) ((genClo1163638703lle_te Q) I2)))) ((genClo1015804716orrect Q) ((ord_max_real ((genClo1163638703lle_te P4) I2)) ((genClo1163638703lle_te Q) I2))))->((ord_less_eq_real (abs_abs_real ((minus_minus_real (((genClo1160817912lle_IC P4) I2) ((ord_max_real ((genClo1163638703lle_te P4) I2)) ((genClo1163638703lle_te Q) I2)))) (((genClo1160817912lle_IC Q) I2) ((ord_max_real ((genClo1163638703lle_te P4) I2)) ((genClo1163638703lle_te Q) I2)))))) X3)))))
% 0.56/0.75 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_115_le__add__diff__inverse
% 0.56/0.75 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)))
% 0.56/0.75 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_116_le__add__diff__inverse
% 0.56/0.75 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)))
% 0.56/0.75 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_117_le__add__diff__inverse2
% 0.56/0.75 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)))
% 0.56/0.75 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_118_le__add__diff__inverse2
% 0.56/0.75 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)))
% 0.56/0.75 FOF formula (((eq real) (abs_abs_real one_one_real)) one_one_real) of role axiom named fact_119_abs__1
% 0.56/0.75 A new axiom: (((eq real) (abs_abs_real one_one_real)) one_one_real)
% 0.56/0.75 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_120_abs__add__abs
% 0.56/0.75 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))))
% 0.56/0.75 FOF formula (forall (A:real) (B:real), (((eq real) ((minus_minus_real ((plus_plus_real A) B)) B)) A)) of role axiom named fact_121_add__diff__cancel
% 0.56/0.75 A new axiom: (forall (A:real) (B:real), (((eq real) ((minus_minus_real ((plus_plus_real A) B)) B)) A))
% 0.56/0.75 FOF formula (forall (A:real) (B:real), (((eq real) ((plus_plus_real ((minus_minus_real A) B)) B)) A)) of role axiom named fact_122_diff__add__cancel
% 0.56/0.75 A new axiom: (forall (A:real) (B:real), (((eq real) ((plus_plus_real ((minus_minus_real A) B)) B)) A))
% 0.56/0.75 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_123_add__diff__cancel__left
% 0.61/0.76 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)))
% 0.61/0.76 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_124_add__diff__cancel__left
% 0.61/0.76 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)))
% 0.61/0.76 FOF formula (forall (A:real) (B:real), (((eq real) ((minus_minus_real ((plus_plus_real A) B)) A)) B)) of role axiom named fact_125_add__diff__cancel__left_H
% 0.61/0.76 A new axiom: (forall (A:real) (B:real), (((eq real) ((minus_minus_real ((plus_plus_real A) B)) A)) B))
% 0.61/0.76 FOF formula (forall (A:nat) (B:nat), (((eq nat) ((minus_minus_nat ((plus_plus_nat A) B)) A)) B)) of role axiom named fact_126_add__diff__cancel__left_H
% 0.61/0.76 A new axiom: (forall (A:nat) (B:nat), (((eq nat) ((minus_minus_nat ((plus_plus_nat A) B)) A)) B))
% 0.61/0.76 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_127_add__diff__cancel__right
% 0.61/0.76 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)))
% 0.61/0.76 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_128_add__diff__cancel__right
% 0.61/0.76 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)))
% 0.61/0.76 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_129_add__right__cancel
% 0.61/0.76 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)))
% 0.61/0.76 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_130_add__right__cancel
% 0.61/0.76 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)))
% 0.61/0.76 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_131_add__left__cancel
% 0.61/0.76 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)))
% 0.61/0.76 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_132_add__left__cancel
% 0.61/0.76 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)))
% 0.61/0.76 FOF formula (forall (A:real), (((eq real) (abs_abs_real (abs_abs_real A))) (abs_abs_real A))) of role axiom named fact_133_abs__idempotent
% 0.61/0.76 A new axiom: (forall (A:real), (((eq real) (abs_abs_real (abs_abs_real A))) (abs_abs_real A)))
% 0.61/0.76 FOF formula (forall (A:real), (((eq real) (abs_abs_real (abs_abs_real A))) (abs_abs_real A))) of role axiom named fact_134_abs__abs
% 0.61/0.76 A new axiom: (forall (A:real), (((eq real) (abs_abs_real (abs_abs_real A))) (abs_abs_real A)))
% 0.61/0.76 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_135_add__le__cancel__right
% 0.61/0.76 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)))
% 0.61/0.76 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_136_add__le__cancel__right
% 0.61/0.78 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)))
% 0.61/0.78 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_137_add__le__cancel__left
% 0.61/0.78 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)))
% 0.61/0.78 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_138_add__le__cancel__left
% 0.61/0.78 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)))
% 0.61/0.78 FOF formula (forall (A:real) (B:real), (((eq real) ((minus_minus_real ((plus_plus_real A) B)) B)) A)) of role axiom named fact_139_add__diff__cancel__right_H
% 0.61/0.78 A new axiom: (forall (A:real) (B:real), (((eq real) ((minus_minus_real ((plus_plus_real A) B)) B)) A))
% 0.61/0.78 FOF formula (forall (A:nat) (B:nat), (((eq nat) ((minus_minus_nat ((plus_plus_nat A) B)) B)) A)) of role axiom named fact_140_add__diff__cancel__right_H
% 0.61/0.78 A new axiom: (forall (A:nat) (B:nat), (((eq nat) ((minus_minus_nat ((plus_plus_nat A) B)) B)) A))
% 0.61/0.78 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_141_add__right__imp__eq
% 0.61/0.78 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)))
% 0.61/0.78 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_142_add__right__imp__eq
% 0.61/0.78 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)))
% 0.61/0.78 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_143_add__left__imp__eq
% 0.61/0.78 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)))
% 0.61/0.78 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_144_add__left__imp__eq
% 0.61/0.78 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)))
% 0.61/0.78 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_145_add_Oleft__commute
% 0.61/0.78 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))))
% 0.61/0.78 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_146_add_Oleft__commute
% 0.61/0.78 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))))
% 0.61/0.78 FOF formula (((eq (nat->(nat->nat))) plus_plus_nat) (fun (A2:nat) (B2:nat)=> ((plus_plus_nat B2) A2))) of role axiom named fact_147_add_Ocommute
% 0.61/0.78 A new axiom: (((eq (nat->(nat->nat))) plus_plus_nat) (fun (A2:nat) (B2:nat)=> ((plus_plus_nat B2) A2)))
% 0.61/0.78 FOF formula (((eq (real->(real->real))) plus_plus_real) (fun (A2:real) (B2:real)=> ((plus_plus_real B2) A2))) of role axiom named fact_148_add_Ocommute
% 0.61/0.78 A new axiom: (((eq (real->(real->real))) plus_plus_real) (fun (A2:real) (B2:real)=> ((plus_plus_real B2) A2)))
% 0.61/0.78 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_149_add_Oright__cancel
% 0.61/0.78 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)))
% 0.61/0.79 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_150_add_Oleft__cancel
% 0.61/0.79 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)))
% 0.61/0.79 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_151_add_Oassoc
% 0.61/0.79 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))))
% 0.61/0.79 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_152_add_Oassoc
% 0.61/0.79 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))))
% 0.61/0.79 FOF formula (forall (B4:nat) (K:nat) (B:nat) (A:nat), ((((eq nat) B4) ((plus_plus_nat K) B))->(((eq nat) ((plus_plus_nat A) B4)) ((plus_plus_nat K) ((plus_plus_nat A) B))))) of role axiom named fact_153_group__cancel_Oadd2
% 0.61/0.79 A new axiom: (forall (B4:nat) (K:nat) (B:nat) (A:nat), ((((eq nat) B4) ((plus_plus_nat K) B))->(((eq nat) ((plus_plus_nat A) B4)) ((plus_plus_nat K) ((plus_plus_nat A) B)))))
% 0.61/0.79 FOF formula (forall (B4:real) (K:real) (B:real) (A:real), ((((eq real) B4) ((plus_plus_real K) B))->(((eq real) ((plus_plus_real A) B4)) ((plus_plus_real K) ((plus_plus_real A) B))))) of role axiom named fact_154_group__cancel_Oadd2
% 0.61/0.79 A new axiom: (forall (B4:real) (K:real) (B:real) (A:real), ((((eq real) B4) ((plus_plus_real K) B))->(((eq real) ((plus_plus_real A) B4)) ((plus_plus_real K) ((plus_plus_real A) B)))))
% 0.61/0.79 FOF formula (forall (A4:nat) (K:nat) (A:nat) (B:nat), ((((eq nat) A4) ((plus_plus_nat K) A))->(((eq nat) ((plus_plus_nat A4) B)) ((plus_plus_nat K) ((plus_plus_nat A) B))))) of role axiom named fact_155_group__cancel_Oadd1
% 0.61/0.79 A new axiom: (forall (A4:nat) (K:nat) (A:nat) (B:nat), ((((eq nat) A4) ((plus_plus_nat K) A))->(((eq nat) ((plus_plus_nat A4) B)) ((plus_plus_nat K) ((plus_plus_nat A) B)))))
% 0.61/0.79 FOF formula (forall (A4:real) (K:real) (A:real) (B:real), ((((eq real) A4) ((plus_plus_real K) A))->(((eq real) ((plus_plus_real A4) B)) ((plus_plus_real K) ((plus_plus_real A) B))))) of role axiom named fact_156_group__cancel_Oadd1
% 0.61/0.79 A new axiom: (forall (A4:real) (K:real) (A:real) (B:real), ((((eq real) A4) ((plus_plus_real K) A))->(((eq real) ((plus_plus_real A4) B)) ((plus_plus_real K) ((plus_plus_real A) B)))))
% 0.61/0.79 FOF formula (forall (_TPTP_I:nat) (J:nat) (K:nat) (L:nat), (((and (((eq nat) _TPTP_I) J)) (((eq nat) K) L))->(((eq nat) ((plus_plus_nat _TPTP_I) K)) ((plus_plus_nat J) L)))) of role axiom named fact_157_add__mono__thms__linordered__semiring_I4_J
% 0.61/0.79 A new axiom: (forall (_TPTP_I:nat) (J:nat) (K:nat) (L:nat), (((and (((eq nat) _TPTP_I) J)) (((eq nat) K) L))->(((eq nat) ((plus_plus_nat _TPTP_I) K)) ((plus_plus_nat J) L))))
% 0.61/0.79 FOF formula (forall (_TPTP_I:real) (J:real) (K:real) (L:real), (((and (((eq real) _TPTP_I) J)) (((eq real) K) L))->(((eq real) ((plus_plus_real _TPTP_I) K)) ((plus_plus_real J) L)))) of role axiom named fact_158_add__mono__thms__linordered__semiring_I4_J
% 0.61/0.79 A new axiom: (forall (_TPTP_I:real) (J:real) (K:real) (L:real), (((and (((eq real) _TPTP_I) J)) (((eq real) K) L))->(((eq real) ((plus_plus_real _TPTP_I) K)) ((plus_plus_real J) L))))
% 0.61/0.79 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_159_ab__semigroup__add__class_Oadd__ac_I1_J
% 0.61/0.79 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))))
% 0.61/0.79 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_160_ab__semigroup__add__class_Oadd__ac_I1_J
% 0.61/0.81 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))))
% 0.61/0.81 FOF formula (forall (X:nat), (((eq Prop) (((eq nat) one_one_nat) X)) (((eq nat) X) one_one_nat))) of role axiom named fact_161_one__reorient
% 0.61/0.81 A new axiom: (forall (X:nat), (((eq Prop) (((eq nat) one_one_nat) X)) (((eq nat) X) one_one_nat)))
% 0.61/0.81 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_162_diff__right__commute
% 0.61/0.81 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)))
% 0.61/0.81 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_163_diff__right__commute
% 0.61/0.81 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)))
% 0.61/0.81 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_164_diff__eq__diff__eq
% 0.61/0.81 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))))
% 0.61/0.81 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_165_add__le__imp__le__right
% 0.61/0.81 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)))
% 0.61/0.81 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_166_add__le__imp__le__right
% 0.61/0.81 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)))
% 0.61/0.81 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_167_add__le__imp__le__left
% 0.61/0.81 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)))
% 0.61/0.81 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_168_add__le__imp__le__left
% 0.61/0.81 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)))
% 0.61/0.81 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_169_le__iff__add
% 0.61/0.81 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))))))
% 0.61/0.81 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_170_add__right__mono
% 0.61/0.81 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))))
% 0.61/0.81 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_171_add__right__mono
% 0.61/0.81 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))))
% 0.61/0.81 <<<_less__eqE,axiom,(
% 0.61/0.81 ! [A: nat,B: nat] :
% 0.61/0.81 ( ( ord_less_eq_nat @ A @ B )
% 0.61/0.81 => ~ !>>>!!!<<< [C3: nat] :
% 0.61/0.81 ( B
% 0.61/0.81 != ( plus_plus_nat @ A @ C3 ) ) ) )).
% 0.61/0.81
% 0.61/0.81 % less_eqE
% 0.61/0.81 >>>
% 0.61/0.81 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, 11, 22, 30, 36, 43, 50, 99, 113, 185, 229, 265, 285, 300, 221, 120, 187, 124]
% 0.61/0.81 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, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, 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',1,42367), LexToken(LPAR,'(',1,42370), name, LexToken(COMMA,',',1,42389), formula_role, LexToken(COMMA,',',1,42395), LexToken(LPAR,'(',1,42396), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,42404), thf_variable_list, LexToken(RBRACKET,']',1,42418), LexToken(COLON,':',1,42420), LexToken(LPAR,'(',1,42428), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.61/0.81 Unexpected exception Syntax error at '!':BANG
% 0.61/0.81 Traceback (most recent call last):
% 0.61/0.81 File "CASC.py", line 79, in <module>
% 0.61/0.81 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.61/0.81 File "/export/starexec/sandbox/solver/bin/TPTP.py", line 38, in __init__
% 0.61/0.81 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.61/0.81 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 265, in parse
% 0.61/0.81 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.61/0.81 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.61/0.81 tok = self.errorfunc(errtoken)
% 0.61/0.81 File "/export/starexec/sandbox/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.61/0.81 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.61/0.81 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------