TSTP Solution File: NUM925^1 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM925^1 : TPTP v7.0.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n036.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 13:12:04 EST 2018
% Result : Timeout 300.01s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM925^1 : TPTP v7.0.0. Released v5.3.0.
% 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.23 % Computer : n036.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 15:57:34 CST 2018
% 0.02/0.23 % CPUTime :
% 0.02/0.25 Python 2.7.13
% 0.08/0.50 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b0417c4e128>, <kernel.Type object at 0x2b0417c4efc8>) of role type named ty_ty_tc__Int__Oint
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring int:Type
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b0418371248>, <kernel.Type object at 0x2b0417c4eef0>) of role type named ty_ty_tc__Nat__Onat
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring nat:Type
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b0417c4eea8>, <kernel.Constant object at 0x2b0417c4edd0>) of role type named sy_c_Groups_Oone__class_Oone_000tc__Int__Oint
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring one_one_int:int
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b0417c4efc8>, <kernel.Constant object at 0x2b0417c4edd0>) of role type named sy_c_Groups_Oone__class_Oone_000tc__Nat__Onat
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring one_one_nat:nat
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b0417c4e128>, <kernel.DependentProduct object at 0x2b041836bb00>) of role type named sy_c_Groups_Oplus__class_Oplus_000tc__Int__Oint
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring plus_plus_int:(int->(int->int))
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b0417c4eea8>, <kernel.DependentProduct object at 0x2b041836b878>) of role type named sy_c_Groups_Oplus__class_Oplus_000tc__Nat__Onat
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b0417c4e128>, <kernel.Constant object at 0x2b041836b4d0>) of role type named sy_c_Groups_Ozero__class_Ozero_000tc__Int__Oint
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring zero_zero_int:int
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b0417c4eea8>, <kernel.Constant object at 0x2b041836b518>) of role type named sy_c_Groups_Ozero__class_Ozero_000tc__Nat__Onat
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring zero_zero_nat:nat
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b0417c4edd0>, <kernel.DependentProduct object at 0x2b041836be18>) of role type named sy_c_Int_OBit0
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring bit0:(int->int)
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b0417c4edd0>, <kernel.DependentProduct object at 0x2b041836bdd0>) of role type named sy_c_Int_OBit1
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring bit1:(int->int)
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b041836b518>, <kernel.Constant object at 0x2b041836bdd0>) of role type named sy_c_Int_OPls
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring pls:int
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b041836b878>, <kernel.DependentProduct object at 0x2b041836b440>) of role type named sy_c_Int_Onumber__class_Onumber__of_000tc__Int__Oint
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring number_number_of_int:(int->int)
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b041836b4d0>, <kernel.DependentProduct object at 0x2b041836bab8>) of role type named sy_c_Int_Onumber__class_Onumber__of_000tc__Nat__Onat
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring number_number_of_nat:(int->nat)
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b041836bdd0>, <kernel.DependentProduct object at 0x2b041836ba70>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_000tc__Int__Oint
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring semiri1621563631at_int:(nat->int)
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b041836b440>, <kernel.DependentProduct object at 0x2b041836b248>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_000tc__Nat__Onat
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring semiri984289939at_nat:(nat->nat)
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b041836bab8>, <kernel.DependentProduct object at 0x2b041836b4d0>) of role type named sy_c_Orderings_Oord__class_Oless_000tc__Int__Oint
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring ord_less_int:(int->(int->Prop))
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b041836ba70>, <kernel.DependentProduct object at 0x2b041836b518>) of role type named sy_c_Orderings_Oord__class_Oless_000tc__Nat__Onat
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b041836b248>, <kernel.DependentProduct object at 0x2b041836bdd0>) of role type named sy_c_Power_Opower__class_Opower_000tc__Int__Oint
% 0.08/0.50 Using role type
% 0.08/0.50 Declaring power_power_int:(int->(nat->int))
% 0.08/0.50 FOF formula (<kernel.Constant object at 0x2b041836b4d0>, <kernel.DependentProduct object at 0x2b041836b200>) of role type named sy_c_Power_Opower__class_Opower_000tc__Nat__Onat
% 0.08/0.52 Using role type
% 0.08/0.52 Declaring power_power_nat:(nat->(nat->nat))
% 0.08/0.52 FOF formula (<kernel.Constant object at 0x2b041836b518>, <kernel.Constant object at 0x2b041836b200>) of role type named sy_v_n____
% 0.08/0.52 Using role type
% 0.08/0.52 Declaring n:nat
% 0.08/0.52 FOF formula (<kernel.Constant object at 0x2b041836b248>, <kernel.Constant object at 0x2b041836b200>) of role type named sy_v_t____
% 0.08/0.52 Using role type
% 0.08/0.52 Declaring t:int
% 0.08/0.52 FOF formula ((ord_less_int zero_zero_int) ((plus_plus_int one_one_int) (semiri1621563631at_int n))) of role axiom named fact_0_n1pos
% 0.08/0.52 A new axiom: ((ord_less_int zero_zero_int) ((plus_plus_int one_one_int) (semiri1621563631at_int n)))
% 0.08/0.52 FOF formula ((ord_less_int one_one_int) t) of role axiom named fact_1_t1
% 0.08/0.52 A new axiom: ((ord_less_int one_one_int) t)
% 0.08/0.52 FOF formula (forall (X_3:int) (Y_3:int), ((iff (((eq int) ((plus_plus_int ((power_power_int X_3) (number_number_of_nat (bit0 (bit1 pls))))) ((power_power_int Y_3) (number_number_of_nat (bit0 (bit1 pls)))))) zero_zero_int)) ((and (((eq int) X_3) zero_zero_int)) (((eq int) Y_3) zero_zero_int)))) of role axiom named fact_2_sum__power2__eq__zero__iff
% 0.08/0.52 A new axiom: (forall (X_3:int) (Y_3:int), ((iff (((eq int) ((plus_plus_int ((power_power_int X_3) (number_number_of_nat (bit0 (bit1 pls))))) ((power_power_int Y_3) (number_number_of_nat (bit0 (bit1 pls)))))) zero_zero_int)) ((and (((eq int) X_3) zero_zero_int)) (((eq int) Y_3) zero_zero_int))))
% 0.08/0.52 FOF formula (((eq int) ((power_power_int one_one_int) (number_number_of_nat (bit0 (bit1 pls))))) one_one_int) of role axiom named fact_3_one__power2
% 0.08/0.52 A new axiom: (((eq int) ((power_power_int one_one_int) (number_number_of_nat (bit0 (bit1 pls))))) one_one_int)
% 0.08/0.52 FOF formula (((eq nat) ((power_power_nat one_one_nat) (number_number_of_nat (bit0 (bit1 pls))))) one_one_nat) of role axiom named fact_4_one__power2
% 0.08/0.52 A new axiom: (((eq nat) ((power_power_nat one_one_nat) (number_number_of_nat (bit0 (bit1 pls))))) one_one_nat)
% 0.08/0.52 FOF formula (((eq int) ((power_power_int zero_zero_int) (number_number_of_nat (bit0 (bit1 pls))))) zero_zero_int) of role axiom named fact_5_zero__power2
% 0.08/0.52 A new axiom: (((eq int) ((power_power_int zero_zero_int) (number_number_of_nat (bit0 (bit1 pls))))) zero_zero_int)
% 0.08/0.52 FOF formula (((eq nat) ((power_power_nat zero_zero_nat) (number_number_of_nat (bit0 (bit1 pls))))) zero_zero_nat) of role axiom named fact_6_zero__power2
% 0.08/0.52 A new axiom: (((eq nat) ((power_power_nat zero_zero_nat) (number_number_of_nat (bit0 (bit1 pls))))) zero_zero_nat)
% 0.08/0.52 FOF formula (forall (A_7:int), ((iff (((eq int) ((power_power_int A_7) (number_number_of_nat (bit0 (bit1 pls))))) zero_zero_int)) (((eq int) A_7) zero_zero_int))) of role axiom named fact_7_zero__eq__power2
% 0.08/0.52 A new axiom: (forall (A_7:int), ((iff (((eq int) ((power_power_int A_7) (number_number_of_nat (bit0 (bit1 pls))))) zero_zero_int)) (((eq int) A_7) zero_zero_int)))
% 0.08/0.52 FOF formula (forall (W_7:int), (((eq int) ((plus_plus_int one_one_int) (number_number_of_int W_7))) (number_number_of_int ((plus_plus_int (bit1 pls)) W_7)))) of role axiom named fact_8_add__special_I2_J
% 0.08/0.52 A new axiom: (forall (W_7:int), (((eq int) ((plus_plus_int one_one_int) (number_number_of_int W_7))) (number_number_of_int ((plus_plus_int (bit1 pls)) W_7))))
% 0.08/0.52 FOF formula (forall (V_5:int), (((eq int) ((plus_plus_int (number_number_of_int V_5)) one_one_int)) (number_number_of_int ((plus_plus_int V_5) (bit1 pls))))) of role axiom named fact_9_add__special_I3_J
% 0.08/0.52 A new axiom: (forall (V_5:int), (((eq int) ((plus_plus_int (number_number_of_int V_5)) one_one_int)) (number_number_of_int ((plus_plus_int V_5) (bit1 pls)))))
% 0.08/0.52 FOF formula (((eq int) ((plus_plus_int one_one_int) one_one_int)) (number_number_of_int (bit0 (bit1 pls)))) of role axiom named fact_10_one__add__one__is__two
% 0.08/0.52 A new axiom: (((eq int) ((plus_plus_int one_one_int) one_one_int)) (number_number_of_int (bit0 (bit1 pls))))
% 0.08/0.52 FOF formula (((eq int) ((plus_plus_int one_one_int) one_one_int)) (number_number_of_int (bit0 (bit1 pls)))) of role axiom named fact_11_semiring__one__add__one__is__two
% 0.08/0.52 A new axiom: (((eq int) ((plus_plus_int one_one_int) one_one_int)) (number_number_of_int (bit0 (bit1 pls))))
% 0.08/0.53 FOF formula (((eq nat) ((plus_plus_nat one_one_nat) one_one_nat)) (number_number_of_nat (bit0 (bit1 pls)))) of role axiom named fact_12_semiring__one__add__one__is__two
% 0.08/0.53 A new axiom: (((eq nat) ((plus_plus_nat one_one_nat) one_one_nat)) (number_number_of_nat (bit0 (bit1 pls))))
% 0.08/0.53 FOF formula (forall (X_3:int), (((eq int) ((power_power_int ((power_power_int X_3) (number_number_of_nat (bit0 (bit1 pls))))) (number_number_of_nat (bit0 (bit1 pls))))) ((power_power_int X_3) (number_number_of_nat (bit0 (bit0 (bit1 pls))))))) of role axiom named fact_13_quartic__square__square
% 0.08/0.53 A new axiom: (forall (X_3:int), (((eq int) ((power_power_int ((power_power_int X_3) (number_number_of_nat (bit0 (bit1 pls))))) (number_number_of_nat (bit0 (bit1 pls))))) ((power_power_int X_3) (number_number_of_nat (bit0 (bit0 (bit1 pls)))))))
% 0.08/0.53 FOF formula (forall (W_6:int), ((and ((((eq nat) (number_number_of_nat W_6)) zero_zero_nat)->(((eq int) ((power_power_int zero_zero_int) (number_number_of_nat W_6))) one_one_int))) ((not (((eq nat) (number_number_of_nat W_6)) zero_zero_nat))->(((eq int) ((power_power_int zero_zero_int) (number_number_of_nat W_6))) zero_zero_int)))) of role axiom named fact_14_power__0__left__number__of
% 0.08/0.53 A new axiom: (forall (W_6:int), ((and ((((eq nat) (number_number_of_nat W_6)) zero_zero_nat)->(((eq int) ((power_power_int zero_zero_int) (number_number_of_nat W_6))) one_one_int))) ((not (((eq nat) (number_number_of_nat W_6)) zero_zero_nat))->(((eq int) ((power_power_int zero_zero_int) (number_number_of_nat W_6))) zero_zero_int))))
% 0.08/0.53 FOF formula (forall (W_6:int), ((and ((((eq nat) (number_number_of_nat W_6)) zero_zero_nat)->(((eq nat) ((power_power_nat zero_zero_nat) (number_number_of_nat W_6))) one_one_nat))) ((not (((eq nat) (number_number_of_nat W_6)) zero_zero_nat))->(((eq nat) ((power_power_nat zero_zero_nat) (number_number_of_nat W_6))) zero_zero_nat)))) of role axiom named fact_15_power__0__left__number__of
% 0.08/0.53 A new axiom: (forall (W_6:int), ((and ((((eq nat) (number_number_of_nat W_6)) zero_zero_nat)->(((eq nat) ((power_power_nat zero_zero_nat) (number_number_of_nat W_6))) one_one_nat))) ((not (((eq nat) (number_number_of_nat W_6)) zero_zero_nat))->(((eq nat) ((power_power_nat zero_zero_nat) (number_number_of_nat W_6))) zero_zero_nat))))
% 0.08/0.53 FOF formula (((eq int) one_one_int) (number_number_of_int (bit1 pls))) of role axiom named fact_16_semiring__norm_I110_J
% 0.08/0.53 A new axiom: (((eq int) one_one_int) (number_number_of_int (bit1 pls)))
% 0.08/0.53 FOF formula (((eq int) (number_number_of_int (bit1 pls))) one_one_int) of role axiom named fact_17_numeral__1__eq__1
% 0.08/0.53 A new axiom: (((eq int) (number_number_of_int (bit1 pls))) one_one_int)
% 0.08/0.53 FOF formula ((ord_less_nat zero_zero_nat) n) of role axiom named fact_18_n0
% 0.08/0.53 A new axiom: ((ord_less_nat zero_zero_nat) n)
% 0.08/0.53 FOF formula (forall (X_3:int) (Y_3:int), ((or ((or ((ord_less_int X_3) Y_3)) (((eq int) X_3) Y_3))) ((ord_less_int Y_3) X_3))) of role axiom named fact_19_zless__linear
% 0.08/0.53 A new axiom: (forall (X_3:int) (Y_3:int), ((or ((or ((ord_less_int X_3) Y_3)) (((eq int) X_3) Y_3))) ((ord_less_int Y_3) X_3)))
% 0.08/0.53 FOF formula (forall (K:int) (L:int), ((iff ((ord_less_int (number_number_of_int K)) (number_number_of_int L))) ((ord_less_int K) L))) of role axiom named fact_20_less__number__of__int__code
% 0.08/0.53 A new axiom: (forall (K:int) (L:int), ((iff ((ord_less_int (number_number_of_int K)) (number_number_of_int L))) ((ord_less_int K) L)))
% 0.08/0.53 FOF formula (forall (V_3:int) (W_4:int), (((eq int) ((plus_plus_int (number_number_of_int V_3)) (number_number_of_int W_4))) (number_number_of_int ((plus_plus_int V_3) W_4)))) of role axiom named fact_21_plus__numeral__code_I9_J
% 0.08/0.53 A new axiom: (forall (V_3:int) (W_4:int), (((eq int) ((plus_plus_int (number_number_of_int V_3)) (number_number_of_int W_4))) (number_number_of_int ((plus_plus_int V_3) W_4))))
% 0.08/0.53 FOF formula (forall (X_6:int) (Y_5:int), ((iff ((ord_less_int (number_number_of_int X_6)) (number_number_of_int Y_5))) ((ord_less_int X_6) Y_5))) of role axiom named fact_22_less__number__of
% 0.08/0.53 A new axiom: (forall (X_6:int) (Y_5:int), ((iff ((ord_less_int (number_number_of_int X_6)) (number_number_of_int Y_5))) ((ord_less_int X_6) Y_5)))
% 0.08/0.55 FOF formula (((eq int) zero_zero_int) (number_number_of_int pls)) of role axiom named fact_23_zero__is__num__zero
% 0.08/0.55 A new axiom: (((eq int) zero_zero_int) (number_number_of_int pls))
% 0.08/0.55 FOF formula (forall (M:nat) (N_1:nat), (((eq int) ((power_power_int (semiri1621563631at_int M)) N_1)) (semiri1621563631at_int ((power_power_nat M) N_1)))) of role axiom named fact_24_zpower__int
% 0.08/0.55 A new axiom: (forall (M:nat) (N_1:nat), (((eq int) ((power_power_int (semiri1621563631at_int M)) N_1)) (semiri1621563631at_int ((power_power_nat M) N_1))))
% 0.08/0.55 FOF formula (forall (M:nat) (N_1:nat), (((eq int) (semiri1621563631at_int ((power_power_nat M) N_1))) ((power_power_int (semiri1621563631at_int M)) N_1))) of role axiom named fact_25_int__power
% 0.08/0.55 A new axiom: (forall (M:nat) (N_1:nat), (((eq int) (semiri1621563631at_int ((power_power_nat M) N_1))) ((power_power_int (semiri1621563631at_int M)) N_1)))
% 0.08/0.55 FOF formula (forall (M:nat) (N_1:nat) (Z:int), (((eq int) ((plus_plus_int (semiri1621563631at_int M)) ((plus_plus_int (semiri1621563631at_int N_1)) Z))) ((plus_plus_int (semiri1621563631at_int ((plus_plus_nat M) N_1))) Z))) of role axiom named fact_26_zadd__int__left
% 0.08/0.55 A new axiom: (forall (M:nat) (N_1:nat) (Z:int), (((eq int) ((plus_plus_int (semiri1621563631at_int M)) ((plus_plus_int (semiri1621563631at_int N_1)) Z))) ((plus_plus_int (semiri1621563631at_int ((plus_plus_nat M) N_1))) Z)))
% 0.08/0.55 FOF formula (forall (M:nat) (N_1:nat), (((eq int) ((plus_plus_int (semiri1621563631at_int M)) (semiri1621563631at_int N_1))) (semiri1621563631at_int ((plus_plus_nat M) N_1)))) of role axiom named fact_27_zadd__int
% 0.08/0.55 A new axiom: (forall (M:nat) (N_1:nat), (((eq int) ((plus_plus_int (semiri1621563631at_int M)) (semiri1621563631at_int N_1))) (semiri1621563631at_int ((plus_plus_nat M) N_1))))
% 0.08/0.55 FOF formula (((eq int) (semiri1621563631at_int one_one_nat)) one_one_int) of role axiom named fact_28_int__1
% 0.08/0.55 A new axiom: (((eq int) (semiri1621563631at_int one_one_nat)) one_one_int)
% 0.08/0.55 FOF formula (((eq nat) (number_number_of_nat pls)) zero_zero_nat) of role axiom named fact_29_nat__number__of__Pls
% 0.08/0.55 A new axiom: (((eq nat) (number_number_of_nat pls)) zero_zero_nat)
% 0.08/0.55 FOF formula (((eq nat) zero_zero_nat) (number_number_of_nat pls)) of role axiom named fact_30_semiring__norm_I113_J
% 0.08/0.55 A new axiom: (((eq nat) zero_zero_nat) (number_number_of_nat pls))
% 0.08/0.55 FOF formula (forall (N_1:nat), ((iff (((eq int) (semiri1621563631at_int N_1)) zero_zero_int)) (((eq nat) N_1) zero_zero_nat))) of role axiom named fact_31_int__eq__0__conv
% 0.08/0.55 A new axiom: (forall (N_1:nat), ((iff (((eq int) (semiri1621563631at_int N_1)) zero_zero_int)) (((eq nat) N_1) zero_zero_nat)))
% 0.08/0.55 FOF formula (((eq int) (semiri1621563631at_int zero_zero_nat)) zero_zero_int) of role axiom named fact_32_int__0
% 0.08/0.55 A new axiom: (((eq int) (semiri1621563631at_int zero_zero_nat)) zero_zero_int)
% 0.08/0.55 FOF formula (((eq nat) ((plus_plus_nat one_one_nat) one_one_nat)) (number_number_of_nat (bit0 (bit1 pls)))) of role axiom named fact_33_nat__1__add__1
% 0.08/0.55 A new axiom: (((eq nat) ((plus_plus_nat one_one_nat) one_one_nat)) (number_number_of_nat (bit0 (bit1 pls))))
% 0.08/0.55 FOF formula (forall (K1:int) (K2:int), ((iff ((ord_less_int (bit1 K1)) (bit1 K2))) ((ord_less_int K1) K2))) of role axiom named fact_34_less__int__code_I16_J
% 0.08/0.55 A new axiom: (forall (K1:int) (K2:int), ((iff ((ord_less_int (bit1 K1)) (bit1 K2))) ((ord_less_int K1) K2)))
% 0.08/0.55 FOF formula (forall (K:int) (L:int), ((iff ((ord_less_int (bit1 K)) (bit1 L))) ((ord_less_int K) L))) of role axiom named fact_35_rel__simps_I17_J
% 0.08/0.55 A new axiom: (forall (K:int) (L:int), ((iff ((ord_less_int (bit1 K)) (bit1 L))) ((ord_less_int K) L)))
% 0.08/0.55 FOF formula (((ord_less_int pls) pls)->False) of role axiom named fact_36_rel__simps_I2_J
% 0.08/0.55 A new axiom: (((ord_less_int pls) pls)->False)
% 0.08/0.55 FOF formula (forall (K1:int) (K2:int), ((iff ((ord_less_int (bit0 K1)) (bit0 K2))) ((ord_less_int K1) K2))) of role axiom named fact_37_less__int__code_I13_J
% 0.08/0.55 A new axiom: (forall (K1:int) (K2:int), ((iff ((ord_less_int (bit0 K1)) (bit0 K2))) ((ord_less_int K1) K2)))
% 0.08/0.55 FOF formula (forall (K:int) (L:int), ((iff ((ord_less_int (bit0 K)) (bit0 L))) ((ord_less_int K) L))) of role axiom named fact_38_rel__simps_I14_J
% 0.08/0.56 A new axiom: (forall (K:int) (L:int), ((iff ((ord_less_int (bit0 K)) (bit0 L))) ((ord_less_int K) L)))
% 0.08/0.56 FOF formula (forall (K:int) (_TPTP_I:int) (J:int), (((ord_less_int _TPTP_I) J)->((ord_less_int ((plus_plus_int _TPTP_I) K)) ((plus_plus_int J) K)))) of role axiom named fact_39_zadd__strict__right__mono
% 0.08/0.56 A new axiom: (forall (K:int) (_TPTP_I:int) (J:int), (((ord_less_int _TPTP_I) J)->((ord_less_int ((plus_plus_int _TPTP_I) K)) ((plus_plus_int J) K))))
% 0.08/0.56 FOF formula (forall (V_4:int) (V_3:int), ((and (((ord_less_int V_3) pls)->(((eq nat) ((plus_plus_nat (number_number_of_nat V_3)) (number_number_of_nat V_4))) (number_number_of_nat V_4)))) ((((ord_less_int V_3) pls)->False)->((and (((ord_less_int V_4) pls)->(((eq nat) ((plus_plus_nat (number_number_of_nat V_3)) (number_number_of_nat V_4))) (number_number_of_nat V_3)))) ((((ord_less_int V_4) pls)->False)->(((eq nat) ((plus_plus_nat (number_number_of_nat V_3)) (number_number_of_nat V_4))) (number_number_of_nat ((plus_plus_int V_3) V_4)))))))) of role axiom named fact_40_add__nat__number__of
% 0.08/0.56 A new axiom: (forall (V_4:int) (V_3:int), ((and (((ord_less_int V_3) pls)->(((eq nat) ((plus_plus_nat (number_number_of_nat V_3)) (number_number_of_nat V_4))) (number_number_of_nat V_4)))) ((((ord_less_int V_3) pls)->False)->((and (((ord_less_int V_4) pls)->(((eq nat) ((plus_plus_nat (number_number_of_nat V_3)) (number_number_of_nat V_4))) (number_number_of_nat V_3)))) ((((ord_less_int V_4) pls)->False)->(((eq nat) ((plus_plus_nat (number_number_of_nat V_3)) (number_number_of_nat V_4))) (number_number_of_nat ((plus_plus_int V_3) V_4))))))))
% 0.08/0.56 FOF formula (((eq int) one_one_int) (number_number_of_int (bit1 pls))) of role axiom named fact_41_one__is__num__one
% 0.08/0.56 A new axiom: (((eq int) one_one_int) (number_number_of_int (bit1 pls)))
% 0.08/0.56 FOF formula (((eq nat) (number_number_of_nat (bit1 pls))) one_one_nat) of role axiom named fact_42_nat__numeral__1__eq__1
% 0.08/0.56 A new axiom: (((eq nat) (number_number_of_nat (bit1 pls))) one_one_nat)
% 0.08/0.56 FOF formula (((eq nat) one_one_nat) (number_number_of_nat (bit1 pls))) of role axiom named fact_43_Numeral1__eq1__nat
% 0.08/0.56 A new axiom: (((eq nat) one_one_nat) (number_number_of_nat (bit1 pls)))
% 0.08/0.56 FOF formula (forall (X_5:int) (Y_4:int), ((iff (((eq int) (number_number_of_int X_5)) (number_number_of_int Y_4))) (((eq int) X_5) Y_4))) of role axiom named fact_44_eq__number__of
% 0.08/0.56 A new axiom: (forall (X_5:int) (Y_4:int), ((iff (((eq int) (number_number_of_int X_5)) (number_number_of_int Y_4))) (((eq int) X_5) Y_4)))
% 0.08/0.56 FOF formula (forall (W_5:int) (X_4:nat), ((iff (((eq nat) (number_number_of_nat W_5)) X_4)) (((eq nat) X_4) (number_number_of_nat W_5)))) of role axiom named fact_45_number__of__reorient
% 0.08/0.56 A new axiom: (forall (W_5:int) (X_4:nat), ((iff (((eq nat) (number_number_of_nat W_5)) X_4)) (((eq nat) X_4) (number_number_of_nat W_5))))
% 0.08/0.56 FOF formula (forall (W_5:int) (X_4:int), ((iff (((eq int) (number_number_of_int W_5)) X_4)) (((eq int) X_4) (number_number_of_int W_5)))) of role axiom named fact_46_number__of__reorient
% 0.08/0.56 A new axiom: (forall (W_5:int) (X_4:int), ((iff (((eq int) (number_number_of_int W_5)) X_4)) (((eq int) X_4) (number_number_of_int W_5))))
% 0.08/0.56 FOF formula (forall (K:int) (L:int), ((iff (((eq int) (bit1 K)) (bit1 L))) (((eq int) K) L))) of role axiom named fact_47_rel__simps_I51_J
% 0.08/0.56 A new axiom: (forall (K:int) (L:int), ((iff (((eq int) (bit1 K)) (bit1 L))) (((eq int) K) L)))
% 0.08/0.56 FOF formula (forall (K:int) (L:int), ((iff (((eq int) (bit0 K)) (bit0 L))) (((eq int) K) L))) of role axiom named fact_48_rel__simps_I48_J
% 0.08/0.56 A new axiom: (forall (K:int) (L:int), ((iff (((eq int) (bit0 K)) (bit0 L))) (((eq int) K) L)))
% 0.08/0.56 FOF formula (forall (A_6:int), ((iff ((ord_less_int ((plus_plus_int A_6) A_6)) zero_zero_int)) ((ord_less_int A_6) zero_zero_int))) of role axiom named fact_49_even__less__0__iff
% 0.08/0.56 A new axiom: (forall (A_6:int), ((iff ((ord_less_int ((plus_plus_int A_6) A_6)) zero_zero_int)) ((ord_less_int A_6) zero_zero_int)))
% 0.08/0.56 FOF formula (forall (Z1:int) (Z2:int) (Z3:int), (((eq int) ((plus_plus_int ((plus_plus_int Z1) Z2)) Z3)) ((plus_plus_int Z1) ((plus_plus_int Z2) Z3)))) of role axiom named fact_50_zadd__assoc
% 0.40/0.58 A new axiom: (forall (Z1:int) (Z2:int) (Z3:int), (((eq int) ((plus_plus_int ((plus_plus_int Z1) Z2)) Z3)) ((plus_plus_int Z1) ((plus_plus_int Z2) Z3))))
% 0.40/0.58 FOF formula (forall (X_3:int) (Y_3:int) (Z:int), (((eq int) ((plus_plus_int X_3) ((plus_plus_int Y_3) Z))) ((plus_plus_int Y_3) ((plus_plus_int X_3) Z)))) of role axiom named fact_51_zadd__left__commute
% 0.40/0.58 A new axiom: (forall (X_3:int) (Y_3:int) (Z:int), (((eq int) ((plus_plus_int X_3) ((plus_plus_int Y_3) Z))) ((plus_plus_int Y_3) ((plus_plus_int X_3) Z))))
% 0.40/0.58 FOF formula (forall (Z:int) (W_4:int), (((eq int) ((plus_plus_int Z) W_4)) ((plus_plus_int W_4) Z))) of role axiom named fact_52_zadd__commute
% 0.40/0.58 A new axiom: (forall (Z:int) (W_4:int), (((eq int) ((plus_plus_int Z) W_4)) ((plus_plus_int W_4) Z)))
% 0.40/0.58 FOF formula (forall (M:nat) (N_1:nat), ((iff (((eq int) (semiri1621563631at_int M)) (semiri1621563631at_int N_1))) (((eq nat) M) N_1))) of role axiom named fact_53_int__int__eq
% 0.40/0.58 A new axiom: (forall (M:nat) (N_1:nat), ((iff (((eq int) (semiri1621563631at_int M)) (semiri1621563631at_int N_1))) (((eq nat) M) N_1)))
% 0.40/0.58 FOF formula (forall (X_2:int), ((iff ((ord_less_int (number_number_of_int X_2)) zero_zero_int)) ((ord_less_int X_2) pls))) of role axiom named fact_54_less__special_I3_J
% 0.40/0.58 A new axiom: (forall (X_2:int), ((iff ((ord_less_int (number_number_of_int X_2)) zero_zero_int)) ((ord_less_int X_2) pls)))
% 0.40/0.58 FOF formula (forall (Y_2:int), ((iff ((ord_less_int zero_zero_int) (number_number_of_int Y_2))) ((ord_less_int pls) Y_2))) of role axiom named fact_55_less__special_I1_J
% 0.40/0.58 A new axiom: (forall (Y_2:int), ((iff ((ord_less_int zero_zero_int) (number_number_of_int Y_2))) ((ord_less_int pls) Y_2)))
% 0.40/0.58 FOF formula (forall (K:int), ((iff ((ord_less_int (bit1 K)) pls)) ((ord_less_int K) pls))) of role axiom named fact_56_rel__simps_I12_J
% 0.40/0.58 A new axiom: (forall (K:int), ((iff ((ord_less_int (bit1 K)) pls)) ((ord_less_int K) pls)))
% 0.40/0.58 FOF formula (forall (K1:int) (K2:int), ((iff ((ord_less_int (bit1 K1)) (bit0 K2))) ((ord_less_int K1) K2))) of role axiom named fact_57_less__int__code_I15_J
% 0.40/0.58 A new axiom: (forall (K1:int) (K2:int), ((iff ((ord_less_int (bit1 K1)) (bit0 K2))) ((ord_less_int K1) K2)))
% 0.40/0.58 FOF formula (forall (K:int) (L:int), ((iff ((ord_less_int (bit1 K)) (bit0 L))) ((ord_less_int K) L))) of role axiom named fact_58_rel__simps_I16_J
% 0.40/0.58 A new axiom: (forall (K:int) (L:int), ((iff ((ord_less_int (bit1 K)) (bit0 L))) ((ord_less_int K) L)))
% 0.40/0.58 FOF formula (forall (K:int), ((iff ((ord_less_int (bit0 K)) pls)) ((ord_less_int K) pls))) of role axiom named fact_59_rel__simps_I10_J
% 0.40/0.58 A new axiom: (forall (K:int), ((iff ((ord_less_int (bit0 K)) pls)) ((ord_less_int K) pls)))
% 0.40/0.58 FOF formula (forall (K:int), ((iff ((ord_less_int pls) (bit0 K))) ((ord_less_int pls) K))) of role axiom named fact_60_rel__simps_I4_J
% 0.40/0.58 A new axiom: (forall (K:int), ((iff ((ord_less_int pls) (bit0 K))) ((ord_less_int pls) K)))
% 0.40/0.58 FOF formula (forall (W_4:int), ((iff ((ord_less_int (bit1 W_4)) zero_zero_int)) ((ord_less_int W_4) zero_zero_int))) of role axiom named fact_61_bin__less__0__simps_I4_J
% 0.40/0.58 A new axiom: (forall (W_4:int), ((iff ((ord_less_int (bit1 W_4)) zero_zero_int)) ((ord_less_int W_4) zero_zero_int)))
% 0.40/0.58 FOF formula (((ord_less_int pls) zero_zero_int)->False) of role axiom named fact_62_bin__less__0__simps_I1_J
% 0.40/0.58 A new axiom: (((ord_less_int pls) zero_zero_int)->False)
% 0.40/0.58 FOF formula (forall (W_4:int), ((iff ((ord_less_int (bit0 W_4)) zero_zero_int)) ((ord_less_int W_4) zero_zero_int))) of role axiom named fact_63_bin__less__0__simps_I3_J
% 0.40/0.58 A new axiom: (forall (W_4:int), ((iff ((ord_less_int (bit0 W_4)) zero_zero_int)) ((ord_less_int W_4) zero_zero_int)))
% 0.40/0.58 FOF formula ((ord_less_int zero_zero_int) one_one_int) of role axiom named fact_64_int__0__less__1
% 0.40/0.58 A new axiom: ((ord_less_int zero_zero_int) one_one_int)
% 0.40/0.58 FOF formula (forall (W_4:int) (Z:int), ((iff ((ord_less_int W_4) ((plus_plus_int Z) one_one_int))) ((or ((ord_less_int W_4) Z)) (((eq int) W_4) Z)))) of role axiom named fact_65_zless__add1__eq
% 0.40/0.60 A new axiom: (forall (W_4:int) (Z:int), ((iff ((ord_less_int W_4) ((plus_plus_int Z) one_one_int))) ((or ((ord_less_int W_4) Z)) (((eq int) W_4) Z))))
% 0.40/0.60 FOF formula (forall (K:nat), (((ord_less_int (semiri1621563631at_int K)) zero_zero_int)->False)) of role axiom named fact_66_int__less__0__conv
% 0.40/0.60 A new axiom: (forall (K:nat), (((ord_less_int (semiri1621563631at_int K)) zero_zero_int)->False))
% 0.40/0.60 FOF formula (forall (X_1:int), ((iff ((ord_less_int (number_number_of_int X_1)) one_one_int)) ((ord_less_int X_1) (bit1 pls)))) of role axiom named fact_67_less__special_I4_J
% 0.40/0.60 A new axiom: (forall (X_1:int), ((iff ((ord_less_int (number_number_of_int X_1)) one_one_int)) ((ord_less_int X_1) (bit1 pls))))
% 0.40/0.60 FOF formula (forall (Y_1:int), ((iff ((ord_less_int one_one_int) (number_number_of_int Y_1))) ((ord_less_int (bit1 pls)) Y_1))) of role axiom named fact_68_less__special_I2_J
% 0.40/0.60 A new axiom: (forall (Y_1:int), ((iff ((ord_less_int one_one_int) (number_number_of_int Y_1))) ((ord_less_int (bit1 pls)) Y_1)))
% 0.40/0.60 FOF formula (forall (Z:int), ((iff ((ord_less_int ((plus_plus_int ((plus_plus_int one_one_int) Z)) Z)) zero_zero_int)) ((ord_less_int Z) zero_zero_int))) of role axiom named fact_69_odd__less__0
% 0.40/0.60 A new axiom: (forall (Z:int), ((iff ((ord_less_int ((plus_plus_int ((plus_plus_int one_one_int) Z)) Z)) zero_zero_int)) ((ord_less_int Z) zero_zero_int)))
% 0.40/0.60 FOF formula (forall (A_5:int), ((iff (((eq int) ((plus_plus_int A_5) A_5)) zero_zero_int)) (((eq int) A_5) zero_zero_int))) of role axiom named fact_70_double__eq__0__iff
% 0.40/0.60 A new axiom: (forall (A_5:int), ((iff (((eq int) ((plus_plus_int A_5) A_5)) zero_zero_int)) (((eq int) A_5) zero_zero_int)))
% 0.40/0.60 FOF formula (forall (K:int), (not (((eq int) (bit1 K)) pls))) of role axiom named fact_71_rel__simps_I46_J
% 0.40/0.60 A new axiom: (forall (K:int), (not (((eq int) (bit1 K)) pls)))
% 0.40/0.60 FOF formula (forall (L:int), (not (((eq int) pls) (bit1 L)))) of role axiom named fact_72_rel__simps_I39_J
% 0.40/0.60 A new axiom: (forall (L:int), (not (((eq int) pls) (bit1 L))))
% 0.40/0.60 FOF formula (forall (K:int) (L:int), (not (((eq int) (bit1 K)) (bit0 L)))) of role axiom named fact_73_rel__simps_I50_J
% 0.40/0.60 A new axiom: (forall (K:int) (L:int), (not (((eq int) (bit1 K)) (bit0 L))))
% 0.40/0.60 FOF formula (forall (K:int) (L:int), (not (((eq int) (bit0 K)) (bit1 L)))) of role axiom named fact_74_rel__simps_I49_J
% 0.40/0.60 A new axiom: (forall (K:int) (L:int), (not (((eq int) (bit0 K)) (bit1 L))))
% 0.40/0.60 FOF formula (forall (K:int), ((iff (((eq int) (bit0 K)) pls)) (((eq int) K) pls))) of role axiom named fact_75_rel__simps_I44_J
% 0.40/0.60 A new axiom: (forall (K:int), ((iff (((eq int) (bit0 K)) pls)) (((eq int) K) pls)))
% 0.40/0.60 FOF formula (forall (L:int), ((iff (((eq int) pls) (bit0 L))) (((eq int) pls) L))) of role axiom named fact_76_rel__simps_I38_J
% 0.40/0.60 A new axiom: (forall (L:int), ((iff (((eq int) pls) (bit0 L))) (((eq int) pls) L)))
% 0.40/0.60 FOF formula (((eq int) (bit0 pls)) pls) of role axiom named fact_77_Bit0__Pls
% 0.40/0.60 A new axiom: (((eq int) (bit0 pls)) pls)
% 0.40/0.60 FOF formula (((eq int) pls) zero_zero_int) of role axiom named fact_78_Pls__def
% 0.40/0.60 A new axiom: (((eq int) pls) zero_zero_int)
% 0.40/0.60 FOF formula (not (((eq int) zero_zero_int) one_one_int)) of role axiom named fact_79_int__0__neq__1
% 0.40/0.60 A new axiom: (not (((eq int) zero_zero_int) one_one_int))
% 0.40/0.60 FOF formula (forall (K:int), (((eq int) ((plus_plus_int K) pls)) K)) of role axiom named fact_80_add__Pls__right
% 0.40/0.60 A new axiom: (forall (K:int), (((eq int) ((plus_plus_int K) pls)) K))
% 0.40/0.60 FOF formula (forall (K:int), (((eq int) ((plus_plus_int pls) K)) K)) of role axiom named fact_81_add__Pls
% 0.40/0.60 A new axiom: (forall (K:int), (((eq int) ((plus_plus_int pls) K)) K))
% 0.40/0.60 FOF formula (forall (K:int) (L:int), (((eq int) ((plus_plus_int (bit0 K)) (bit0 L))) (bit0 ((plus_plus_int K) L)))) of role axiom named fact_82_add__Bit0__Bit0
% 0.40/0.60 A new axiom: (forall (K:int) (L:int), (((eq int) ((plus_plus_int (bit0 K)) (bit0 L))) (bit0 ((plus_plus_int K) L))))
% 0.40/0.60 FOF formula (forall (K:int), (((eq int) (bit0 K)) ((plus_plus_int K) K))) of role axiom named fact_83_Bit0__def
% 0.40/0.60 A new axiom: (forall (K:int), (((eq int) (bit0 K)) ((plus_plus_int K) K)))
% 0.40/0.60 FOF formula (forall (Z:int), (((eq int) ((plus_plus_int Z) zero_zero_int)) Z)) of role axiom named fact_84_zadd__0__right
% 0.40/0.61 A new axiom: (forall (Z:int), (((eq int) ((plus_plus_int Z) zero_zero_int)) Z))
% 0.40/0.61 FOF formula (forall (Z:int), (((eq int) ((plus_plus_int zero_zero_int) Z)) Z)) of role axiom named fact_85_zadd__0
% 0.40/0.61 A new axiom: (forall (Z:int), (((eq int) ((plus_plus_int zero_zero_int) Z)) Z))
% 0.40/0.61 FOF formula (((eq int) (number_number_of_int pls)) zero_zero_int) of role axiom named fact_86_semiring__numeral__0__eq__0
% 0.40/0.61 A new axiom: (((eq int) (number_number_of_int pls)) zero_zero_int)
% 0.40/0.61 FOF formula (((eq nat) (number_number_of_nat pls)) zero_zero_nat) of role axiom named fact_87_semiring__numeral__0__eq__0
% 0.40/0.61 A new axiom: (((eq nat) (number_number_of_nat pls)) zero_zero_nat)
% 0.40/0.61 FOF formula (((eq int) (number_number_of_int pls)) zero_zero_int) of role axiom named fact_88_number__of__Pls
% 0.40/0.61 A new axiom: (((eq int) (number_number_of_int pls)) zero_zero_int)
% 0.40/0.61 FOF formula (((eq int) zero_zero_int) (number_number_of_int pls)) of role axiom named fact_89_semiring__norm_I112_J
% 0.40/0.61 A new axiom: (((eq int) zero_zero_int) (number_number_of_int pls))
% 0.40/0.61 FOF formula (forall (A_4:int), (((eq int) ((plus_plus_int (number_number_of_int pls)) A_4)) A_4)) of role axiom named fact_90_add__numeral__0
% 0.40/0.61 A new axiom: (forall (A_4:int), (((eq int) ((plus_plus_int (number_number_of_int pls)) A_4)) A_4))
% 0.40/0.61 FOF formula (forall (A_3:int), (((eq int) ((plus_plus_int A_3) (number_number_of_int pls))) A_3)) of role axiom named fact_91_add__numeral__0__right
% 0.40/0.61 A new axiom: (forall (A_3:int), (((eq int) ((plus_plus_int A_3) (number_number_of_int pls))) A_3))
% 0.40/0.61 FOF formula (forall (A_2:int) (W_3:int), ((iff (((eq int) ((power_power_int A_2) (number_number_of_nat W_3))) zero_zero_int)) ((and (((eq int) A_2) zero_zero_int)) (not (((eq nat) (number_number_of_nat W_3)) zero_zero_nat))))) of role axiom named fact_92_power__eq__0__iff__number__of
% 0.40/0.61 A new axiom: (forall (A_2:int) (W_3:int), ((iff (((eq int) ((power_power_int A_2) (number_number_of_nat W_3))) zero_zero_int)) ((and (((eq int) A_2) zero_zero_int)) (not (((eq nat) (number_number_of_nat W_3)) zero_zero_nat)))))
% 0.40/0.61 FOF formula (forall (A_2:nat) (W_3:int), ((iff (((eq nat) ((power_power_nat A_2) (number_number_of_nat W_3))) zero_zero_nat)) ((and (((eq nat) A_2) zero_zero_nat)) (not (((eq nat) (number_number_of_nat W_3)) zero_zero_nat))))) of role axiom named fact_93_power__eq__0__iff__number__of
% 0.40/0.61 A new axiom: (forall (A_2:nat) (W_3:int), ((iff (((eq nat) ((power_power_nat A_2) (number_number_of_nat W_3))) zero_zero_nat)) ((and (((eq nat) A_2) zero_zero_nat)) (not (((eq nat) (number_number_of_nat W_3)) zero_zero_nat)))))
% 0.40/0.61 FOF formula (forall (V_2:int) (W_2:int) (Z_1:int), (((eq int) ((plus_plus_int (number_number_of_int V_2)) ((plus_plus_int (number_number_of_int W_2)) Z_1))) ((plus_plus_int (number_number_of_int ((plus_plus_int V_2) W_2))) Z_1))) of role axiom named fact_94_add__number__of__left
% 0.40/0.61 A new axiom: (forall (V_2:int) (W_2:int) (Z_1:int), (((eq int) ((plus_plus_int (number_number_of_int V_2)) ((plus_plus_int (number_number_of_int W_2)) Z_1))) ((plus_plus_int (number_number_of_int ((plus_plus_int V_2) W_2))) Z_1)))
% 0.40/0.61 FOF formula (forall (V_1:int) (W_1:int), (((eq int) ((plus_plus_int (number_number_of_int V_1)) (number_number_of_int W_1))) (number_number_of_int ((plus_plus_int V_1) W_1)))) of role axiom named fact_95_add__number__of__eq
% 0.40/0.61 A new axiom: (forall (V_1:int) (W_1:int), (((eq int) ((plus_plus_int (number_number_of_int V_1)) (number_number_of_int W_1))) (number_number_of_int ((plus_plus_int V_1) W_1))))
% 0.40/0.61 FOF formula (forall (V:int) (W:int), (((eq int) (number_number_of_int ((plus_plus_int V) W))) ((plus_plus_int (number_number_of_int V)) (number_number_of_int W)))) of role axiom named fact_96_number__of__add
% 0.40/0.61 A new axiom: (forall (V:int) (W:int), (((eq int) (number_number_of_int ((plus_plus_int V) W))) ((plus_plus_int (number_number_of_int V)) (number_number_of_int W))))
% 0.40/0.61 FOF formula (forall (K:int) (L:int), (((eq int) ((plus_plus_int (bit1 K)) (bit0 L))) (bit1 ((plus_plus_int K) L)))) of role axiom named fact_97_add__Bit1__Bit0
% 0.40/0.61 A new axiom: (forall (K:int) (L:int), (((eq int) ((plus_plus_int (bit1 K)) (bit0 L))) (bit1 ((plus_plus_int K) L))))
% 0.44/0.63 FOF formula (forall (K:int) (L:int), (((eq int) ((plus_plus_int (bit0 K)) (bit1 L))) (bit1 ((plus_plus_int K) L)))) of role axiom named fact_98_add__Bit0__Bit1
% 0.44/0.63 A new axiom: (forall (K:int) (L:int), (((eq int) ((plus_plus_int (bit0 K)) (bit1 L))) (bit1 ((plus_plus_int K) L))))
% 0.44/0.63 FOF formula (forall (K:int), (((eq int) (bit1 K)) ((plus_plus_int ((plus_plus_int one_one_int) K)) K))) of role axiom named fact_99_Bit1__def
% 0.44/0.63 A new axiom: (forall (K:int), (((eq int) (bit1 K)) ((plus_plus_int ((plus_plus_int one_one_int) K)) K)))
% 0.44/0.63 FOF formula (forall (Z:int), (not (((eq int) ((plus_plus_int ((plus_plus_int one_one_int) Z)) Z)) zero_zero_int))) of role axiom named fact_100_odd__nonzero
% 0.44/0.63 A new axiom: (forall (Z:int), (not (((eq int) ((plus_plus_int ((plus_plus_int one_one_int) Z)) Z)) zero_zero_int)))
% 0.44/0.63 FOF formula (forall (N:nat), (((eq nat) (number_number_of_nat (semiri1621563631at_int N))) (semiri984289939at_nat N))) of role axiom named fact_101_number__of__int
% 0.44/0.63 A new axiom: (forall (N:nat), (((eq nat) (number_number_of_nat (semiri1621563631at_int N))) (semiri984289939at_nat N)))
% 0.44/0.63 FOF formula (forall (N:nat), (((eq int) (number_number_of_int (semiri1621563631at_int N))) (semiri1621563631at_int N))) of role axiom named fact_102_number__of__int
% 0.44/0.63 A new axiom: (forall (N:nat), (((eq int) (number_number_of_int (semiri1621563631at_int N))) (semiri1621563631at_int N)))
% 0.44/0.63 FOF formula (forall (A_1:int), ((iff ((ord_less_int zero_zero_int) ((power_power_int A_1) (number_number_of_nat (bit0 (bit1 pls)))))) (not (((eq int) A_1) zero_zero_int)))) of role axiom named fact_103_zero__less__power2
% 0.44/0.63 A new axiom: (forall (A_1:int), ((iff ((ord_less_int zero_zero_int) ((power_power_int A_1) (number_number_of_nat (bit0 (bit1 pls)))))) (not (((eq int) A_1) zero_zero_int))))
% 0.44/0.63 FOF formula (forall (A:int), (((ord_less_int ((power_power_int A) (number_number_of_nat (bit0 (bit1 pls))))) zero_zero_int)->False)) of role axiom named fact_104_power2__less__0
% 0.44/0.63 A new axiom: (forall (A:int), (((ord_less_int ((power_power_int A) (number_number_of_nat (bit0 (bit1 pls))))) zero_zero_int)->False))
% 0.44/0.63 FOF formula (forall (X:int) (Y:int), ((iff ((ord_less_int zero_zero_int) ((plus_plus_int ((power_power_int X) (number_number_of_nat (bit0 (bit1 pls))))) ((power_power_int Y) (number_number_of_nat (bit0 (bit1 pls))))))) ((or (not (((eq int) X) zero_zero_int))) (not (((eq int) Y) zero_zero_int))))) of role axiom named fact_105_sum__power2__gt__zero__iff
% 0.44/0.63 A new axiom: (forall (X:int) (Y:int), ((iff ((ord_less_int zero_zero_int) ((plus_plus_int ((power_power_int X) (number_number_of_nat (bit0 (bit1 pls))))) ((power_power_int Y) (number_number_of_nat (bit0 (bit1 pls))))))) ((or (not (((eq int) X) zero_zero_int))) (not (((eq int) Y) zero_zero_int)))))
% 0.44/0.63 FOF formula (not (((eq int) ((power_power_int ((plus_plus_int one_one_int) (semiri1621563631at_int n))) (number_number_of_nat (bit0 (bit1 pls))))) zero_zero_int)) of role conjecture named conj_0
% 0.44/0.63 Conjecture to prove = (not (((eq int) ((power_power_int ((plus_plus_int one_one_int) (semiri1621563631at_int n))) (number_number_of_nat (bit0 (bit1 pls))))) zero_zero_int)):Prop
% 0.44/0.63 We need to prove ['(not (((eq int) ((power_power_int ((plus_plus_int one_one_int) (semiri1621563631at_int n))) (number_number_of_nat (bit0 (bit1 pls))))) zero_zero_int))']
% 0.44/0.63 Parameter int:Type.
% 0.44/0.63 Parameter nat:Type.
% 0.44/0.63 Parameter one_one_int:int.
% 0.44/0.63 Parameter one_one_nat:nat.
% 0.44/0.63 Parameter plus_plus_int:(int->(int->int)).
% 0.44/0.63 Parameter plus_plus_nat:(nat->(nat->nat)).
% 0.44/0.63 Parameter zero_zero_int:int.
% 0.44/0.63 Parameter zero_zero_nat:nat.
% 0.44/0.63 Parameter bit0:(int->int).
% 0.44/0.63 Parameter bit1:(int->int).
% 0.44/0.63 Parameter pls:int.
% 0.44/0.63 Parameter number_number_of_int:(int->int).
% 0.44/0.63 Parameter number_number_of_nat:(int->nat).
% 0.44/0.63 Parameter semiri1621563631at_int:(nat->int).
% 0.44/0.63 Parameter semiri984289939at_nat:(nat->nat).
% 0.44/0.63 Parameter ord_less_int:(int->(int->Prop)).
% 0.44/0.63 Parameter ord_less_nat:(nat->(nat->Prop)).
% 0.44/0.63 Parameter power_power_int:(int->(nat->int)).
% 0.44/0.63 Parameter power_power_nat:(nat->(nat->nat)).
% 0.44/0.63 Parameter n:nat.
% 0.44/0.63 Parameter t:int.
% 0.44/0.63 Axiom fact_0_n1pos:((ord_less_int zero_zero_int) ((plus_plus_int one_one_int) (semiri1621563631at_int n))).
% 0.44/0.63 Axiom fact_1_t1:((ord_less_int one_one_int) t).
% 0.44/0.63 Axiom fact_2_sum__power2__eq__zero__iff:(forall (X_3:int) (Y_3:int), ((iff (((eq int) ((plus_plus_int ((power_power_int X_3) (number_number_of_nat (bit0 (bit1 pls))))) ((power_power_int Y_3) (number_number_of_nat (bit0 (bit1 pls)))))) zero_zero_int)) ((and (((eq int) X_3) zero_zero_int)) (((eq int) Y_3) zero_zero_int)))).
% 0.44/0.63 Axiom fact_3_one__power2:(((eq int) ((power_power_int one_one_int) (number_number_of_nat (bit0 (bit1 pls))))) one_one_int).
% 0.44/0.63 Axiom fact_4_one__power2:(((eq nat) ((power_power_nat one_one_nat) (number_number_of_nat (bit0 (bit1 pls))))) one_one_nat).
% 0.44/0.63 Axiom fact_5_zero__power2:(((eq int) ((power_power_int zero_zero_int) (number_number_of_nat (bit0 (bit1 pls))))) zero_zero_int).
% 0.44/0.63 Axiom fact_6_zero__power2:(((eq nat) ((power_power_nat zero_zero_nat) (number_number_of_nat (bit0 (bit1 pls))))) zero_zero_nat).
% 0.44/0.63 Axiom fact_7_zero__eq__power2:(forall (A_7:int), ((iff (((eq int) ((power_power_int A_7) (number_number_of_nat (bit0 (bit1 pls))))) zero_zero_int)) (((eq int) A_7) zero_zero_int))).
% 0.44/0.63 Axiom fact_8_add__special_I2_J:(forall (W_7:int), (((eq int) ((plus_plus_int one_one_int) (number_number_of_int W_7))) (number_number_of_int ((plus_plus_int (bit1 pls)) W_7)))).
% 0.44/0.63 Axiom fact_9_add__special_I3_J:(forall (V_5:int), (((eq int) ((plus_plus_int (number_number_of_int V_5)) one_one_int)) (number_number_of_int ((plus_plus_int V_5) (bit1 pls))))).
% 0.44/0.63 Axiom fact_10_one__add__one__is__two:(((eq int) ((plus_plus_int one_one_int) one_one_int)) (number_number_of_int (bit0 (bit1 pls)))).
% 0.44/0.63 Axiom fact_11_semiring__one__add__one__is__two:(((eq int) ((plus_plus_int one_one_int) one_one_int)) (number_number_of_int (bit0 (bit1 pls)))).
% 0.44/0.63 Axiom fact_12_semiring__one__add__one__is__two:(((eq nat) ((plus_plus_nat one_one_nat) one_one_nat)) (number_number_of_nat (bit0 (bit1 pls)))).
% 0.44/0.63 Axiom fact_13_quartic__square__square:(forall (X_3:int), (((eq int) ((power_power_int ((power_power_int X_3) (number_number_of_nat (bit0 (bit1 pls))))) (number_number_of_nat (bit0 (bit1 pls))))) ((power_power_int X_3) (number_number_of_nat (bit0 (bit0 (bit1 pls))))))).
% 0.44/0.63 Axiom fact_14_power__0__left__number__of:(forall (W_6:int), ((and ((((eq nat) (number_number_of_nat W_6)) zero_zero_nat)->(((eq int) ((power_power_int zero_zero_int) (number_number_of_nat W_6))) one_one_int))) ((not (((eq nat) (number_number_of_nat W_6)) zero_zero_nat))->(((eq int) ((power_power_int zero_zero_int) (number_number_of_nat W_6))) zero_zero_int)))).
% 0.44/0.63 Axiom fact_15_power__0__left__number__of:(forall (W_6:int), ((and ((((eq nat) (number_number_of_nat W_6)) zero_zero_nat)->(((eq nat) ((power_power_nat zero_zero_nat) (number_number_of_nat W_6))) one_one_nat))) ((not (((eq nat) (number_number_of_nat W_6)) zero_zero_nat))->(((eq nat) ((power_power_nat zero_zero_nat) (number_number_of_nat W_6))) zero_zero_nat)))).
% 0.44/0.63 Axiom fact_16_semiring__norm_I110_J:(((eq int) one_one_int) (number_number_of_int (bit1 pls))).
% 0.44/0.63 Axiom fact_17_numeral__1__eq__1:(((eq int) (number_number_of_int (bit1 pls))) one_one_int).
% 0.44/0.63 Axiom fact_18_n0:((ord_less_nat zero_zero_nat) n).
% 0.44/0.63 Axiom fact_19_zless__linear:(forall (X_3:int) (Y_3:int), ((or ((or ((ord_less_int X_3) Y_3)) (((eq int) X_3) Y_3))) ((ord_less_int Y_3) X_3))).
% 0.44/0.63 Axiom fact_20_less__number__of__int__code:(forall (K:int) (L:int), ((iff ((ord_less_int (number_number_of_int K)) (number_number_of_int L))) ((ord_less_int K) L))).
% 0.44/0.63 Axiom fact_21_plus__numeral__code_I9_J:(forall (V_3:int) (W_4:int), (((eq int) ((plus_plus_int (number_number_of_int V_3)) (number_number_of_int W_4))) (number_number_of_int ((plus_plus_int V_3) W_4)))).
% 0.44/0.63 Axiom fact_22_less__number__of:(forall (X_6:int) (Y_5:int), ((iff ((ord_less_int (number_number_of_int X_6)) (number_number_of_int Y_5))) ((ord_less_int X_6) Y_5))).
% 0.44/0.63 Axiom fact_23_zero__is__num__zero:(((eq int) zero_zero_int) (number_number_of_int pls)).
% 0.44/0.63 Axiom fact_24_zpower__int:(forall (M:nat) (N_1:nat), (((eq int) ((power_power_int (semiri1621563631at_int M)) N_1)) (semiri1621563631at_int ((power_power_nat M) N_1)))).
% 0.44/0.63 Axiom fact_25_int__power:(forall (M:nat) (N_1:nat), (((eq int) (semiri1621563631at_int ((power_power_nat M) N_1))) ((power_power_int (semiri1621563631at_int M)) N_1))).
% 0.44/0.63 Axiom fact_26_zadd__int__left:(forall (M:nat) (N_1:nat) (Z:int), (((eq int) ((plus_plus_int (semiri1621563631at_int M)) ((plus_plus_int (semiri1621563631at_int N_1)) Z))) ((plus_plus_int (semiri1621563631at_int ((plus_plus_nat M) N_1))) Z))).
% 0.44/0.63 Axiom fact_27_zadd__int:(forall (M:nat) (N_1:nat), (((eq int) ((plus_plus_int (semiri1621563631at_int M)) (semiri1621563631at_int N_1))) (semiri1621563631at_int ((plus_plus_nat M) N_1)))).
% 0.44/0.63 Axiom fact_28_int__1:(((eq int) (semiri1621563631at_int one_one_nat)) one_one_int).
% 0.44/0.63 Axiom fact_29_nat__number__of__Pls:(((eq nat) (number_number_of_nat pls)) zero_zero_nat).
% 0.44/0.63 Axiom fact_30_semiring__norm_I113_J:(((eq nat) zero_zero_nat) (number_number_of_nat pls)).
% 0.44/0.63 Axiom fact_31_int__eq__0__conv:(forall (N_1:nat), ((iff (((eq int) (semiri1621563631at_int N_1)) zero_zero_int)) (((eq nat) N_1) zero_zero_nat))).
% 0.44/0.63 Axiom fact_32_int__0:(((eq int) (semiri1621563631at_int zero_zero_nat)) zero_zero_int).
% 0.44/0.63 Axiom fact_33_nat__1__add__1:(((eq nat) ((plus_plus_nat one_one_nat) one_one_nat)) (number_number_of_nat (bit0 (bit1 pls)))).
% 0.44/0.63 Axiom fact_34_less__int__code_I16_J:(forall (K1:int) (K2:int), ((iff ((ord_less_int (bit1 K1)) (bit1 K2))) ((ord_less_int K1) K2))).
% 0.44/0.63 Axiom fact_35_rel__simps_I17_J:(forall (K:int) (L:int), ((iff ((ord_less_int (bit1 K)) (bit1 L))) ((ord_less_int K) L))).
% 0.44/0.63 Axiom fact_36_rel__simps_I2_J:(((ord_less_int pls) pls)->False).
% 0.44/0.63 Axiom fact_37_less__int__code_I13_J:(forall (K1:int) (K2:int), ((iff ((ord_less_int (bit0 K1)) (bit0 K2))) ((ord_less_int K1) K2))).
% 0.44/0.63 Axiom fact_38_rel__simps_I14_J:(forall (K:int) (L:int), ((iff ((ord_less_int (bit0 K)) (bit0 L))) ((ord_less_int K) L))).
% 0.44/0.63 Axiom fact_39_zadd__strict__right__mono:(forall (K:int) (_TPTP_I:int) (J:int), (((ord_less_int _TPTP_I) J)->((ord_less_int ((plus_plus_int _TPTP_I) K)) ((plus_plus_int J) K)))).
% 0.44/0.63 Axiom fact_40_add__nat__number__of:(forall (V_4:int) (V_3:int), ((and (((ord_less_int V_3) pls)->(((eq nat) ((plus_plus_nat (number_number_of_nat V_3)) (number_number_of_nat V_4))) (number_number_of_nat V_4)))) ((((ord_less_int V_3) pls)->False)->((and (((ord_less_int V_4) pls)->(((eq nat) ((plus_plus_nat (number_number_of_nat V_3)) (number_number_of_nat V_4))) (number_number_of_nat V_3)))) ((((ord_less_int V_4) pls)->False)->(((eq nat) ((plus_plus_nat (number_number_of_nat V_3)) (number_number_of_nat V_4))) (number_number_of_nat ((plus_plus_int V_3) V_4)))))))).
% 0.44/0.63 Axiom fact_41_one__is__num__one:(((eq int) one_one_int) (number_number_of_int (bit1 pls))).
% 0.44/0.63 Axiom fact_42_nat__numeral__1__eq__1:(((eq nat) (number_number_of_nat (bit1 pls))) one_one_nat).
% 0.44/0.63 Axiom fact_43_Numeral1__eq1__nat:(((eq nat) one_one_nat) (number_number_of_nat (bit1 pls))).
% 0.44/0.63 Axiom fact_44_eq__number__of:(forall (X_5:int) (Y_4:int), ((iff (((eq int) (number_number_of_int X_5)) (number_number_of_int Y_4))) (((eq int) X_5) Y_4))).
% 0.44/0.63 Axiom fact_45_number__of__reorient:(forall (W_5:int) (X_4:nat), ((iff (((eq nat) (number_number_of_nat W_5)) X_4)) (((eq nat) X_4) (number_number_of_nat W_5)))).
% 0.44/0.63 Axiom fact_46_number__of__reorient:(forall (W_5:int) (X_4:int), ((iff (((eq int) (number_number_of_int W_5)) X_4)) (((eq int) X_4) (number_number_of_int W_5)))).
% 0.44/0.63 Axiom fact_47_rel__simps_I51_J:(forall (K:int) (L:int), ((iff (((eq int) (bit1 K)) (bit1 L))) (((eq int) K) L))).
% 0.44/0.63 Axiom fact_48_rel__simps_I48_J:(forall (K:int) (L:int), ((iff (((eq int) (bit0 K)) (bit0 L))) (((eq int) K) L))).
% 0.44/0.63 Axiom fact_49_even__less__0__iff:(forall (A_6:int), ((iff ((ord_less_int ((plus_plus_int A_6) A_6)) zero_zero_int)) ((ord_less_int A_6) zero_zero_int))).
% 0.44/0.63 Axiom fact_50_zadd__assoc:(forall (Z1:int) (Z2:int) (Z3:int), (((eq int) ((plus_plus_int ((plus_plus_int Z1) Z2)) Z3)) ((plus_plus_int Z1) ((plus_plus_int Z2) Z3)))).
% 0.44/0.63 Axiom fact_51_zadd__left__commute:(forall (X_3:int) (Y_3:int) (Z:int), (((eq int) ((plus_plus_int X_3) ((plus_plus_int Y_3) Z))) ((plus_plus_int Y_3) ((plus_plus_int X_3) Z)))).
% 0.44/0.63 Axiom fact_52_zadd__commute:(forall (Z:int) (W_4:int), (((eq int) ((plus_plus_int Z) W_4)) ((plus_plus_int W_4) Z))).
% 0.45/0.63 Axiom fact_53_int__int__eq:(forall (M:nat) (N_1:nat), ((iff (((eq int) (semiri1621563631at_int M)) (semiri1621563631at_int N_1))) (((eq nat) M) N_1))).
% 0.45/0.63 Axiom fact_54_less__special_I3_J:(forall (X_2:int), ((iff ((ord_less_int (number_number_of_int X_2)) zero_zero_int)) ((ord_less_int X_2) pls))).
% 0.45/0.63 Axiom fact_55_less__special_I1_J:(forall (Y_2:int), ((iff ((ord_less_int zero_zero_int) (number_number_of_int Y_2))) ((ord_less_int pls) Y_2))).
% 0.45/0.63 Axiom fact_56_rel__simps_I12_J:(forall (K:int), ((iff ((ord_less_int (bit1 K)) pls)) ((ord_less_int K) pls))).
% 0.45/0.63 Axiom fact_57_less__int__code_I15_J:(forall (K1:int) (K2:int), ((iff ((ord_less_int (bit1 K1)) (bit0 K2))) ((ord_less_int K1) K2))).
% 0.45/0.63 Axiom fact_58_rel__simps_I16_J:(forall (K:int) (L:int), ((iff ((ord_less_int (bit1 K)) (bit0 L))) ((ord_less_int K) L))).
% 0.45/0.63 Axiom fact_59_rel__simps_I10_J:(forall (K:int), ((iff ((ord_less_int (bit0 K)) pls)) ((ord_less_int K) pls))).
% 0.45/0.63 Axiom fact_60_rel__simps_I4_J:(forall (K:int), ((iff ((ord_less_int pls) (bit0 K))) ((ord_less_int pls) K))).
% 0.45/0.63 Axiom fact_61_bin__less__0__simps_I4_J:(forall (W_4:int), ((iff ((ord_less_int (bit1 W_4)) zero_zero_int)) ((ord_less_int W_4) zero_zero_int))).
% 0.45/0.63 Axiom fact_62_bin__less__0__simps_I1_J:(((ord_less_int pls) zero_zero_int)->False).
% 0.45/0.63 Axiom fact_63_bin__less__0__simps_I3_J:(forall (W_4:int), ((iff ((ord_less_int (bit0 W_4)) zero_zero_int)) ((ord_less_int W_4) zero_zero_int))).
% 0.45/0.63 Axiom fact_64_int__0__less__1:((ord_less_int zero_zero_int) one_one_int).
% 0.45/0.63 Axiom fact_65_zless__add1__eq:(forall (W_4:int) (Z:int), ((iff ((ord_less_int W_4) ((plus_plus_int Z) one_one_int))) ((or ((ord_less_int W_4) Z)) (((eq int) W_4) Z)))).
% 0.45/0.63 Axiom fact_66_int__less__0__conv:(forall (K:nat), (((ord_less_int (semiri1621563631at_int K)) zero_zero_int)->False)).
% 0.45/0.63 Axiom fact_67_less__special_I4_J:(forall (X_1:int), ((iff ((ord_less_int (number_number_of_int X_1)) one_one_int)) ((ord_less_int X_1) (bit1 pls)))).
% 0.45/0.63 Axiom fact_68_less__special_I2_J:(forall (Y_1:int), ((iff ((ord_less_int one_one_int) (number_number_of_int Y_1))) ((ord_less_int (bit1 pls)) Y_1))).
% 0.45/0.63 Axiom fact_69_odd__less__0:(forall (Z:int), ((iff ((ord_less_int ((plus_plus_int ((plus_plus_int one_one_int) Z)) Z)) zero_zero_int)) ((ord_less_int Z) zero_zero_int))).
% 0.45/0.63 Axiom fact_70_double__eq__0__iff:(forall (A_5:int), ((iff (((eq int) ((plus_plus_int A_5) A_5)) zero_zero_int)) (((eq int) A_5) zero_zero_int))).
% 0.45/0.63 Axiom fact_71_rel__simps_I46_J:(forall (K:int), (not (((eq int) (bit1 K)) pls))).
% 0.45/0.63 Axiom fact_72_rel__simps_I39_J:(forall (L:int), (not (((eq int) pls) (bit1 L)))).
% 0.45/0.63 Axiom fact_73_rel__simps_I50_J:(forall (K:int) (L:int), (not (((eq int) (bit1 K)) (bit0 L)))).
% 0.45/0.63 Axiom fact_74_rel__simps_I49_J:(forall (K:int) (L:int), (not (((eq int) (bit0 K)) (bit1 L)))).
% 0.45/0.63 Axiom fact_75_rel__simps_I44_J:(forall (K:int), ((iff (((eq int) (bit0 K)) pls)) (((eq int) K) pls))).
% 0.45/0.63 Axiom fact_76_rel__simps_I38_J:(forall (L:int), ((iff (((eq int) pls) (bit0 L))) (((eq int) pls) L))).
% 0.45/0.63 Axiom fact_77_Bit0__Pls:(((eq int) (bit0 pls)) pls).
% 0.45/0.63 Axiom fact_78_Pls__def:(((eq int) pls) zero_zero_int).
% 0.45/0.63 Axiom fact_79_int__0__neq__1:(not (((eq int) zero_zero_int) one_one_int)).
% 0.45/0.63 Axiom fact_80_add__Pls__right:(forall (K:int), (((eq int) ((plus_plus_int K) pls)) K)).
% 0.45/0.63 Axiom fact_81_add__Pls:(forall (K:int), (((eq int) ((plus_plus_int pls) K)) K)).
% 0.45/0.63 Axiom fact_82_add__Bit0__Bit0:(forall (K:int) (L:int), (((eq int) ((plus_plus_int (bit0 K)) (bit0 L))) (bit0 ((plus_plus_int K) L)))).
% 0.45/0.63 Axiom fact_83_Bit0__def:(forall (K:int), (((eq int) (bit0 K)) ((plus_plus_int K) K))).
% 0.45/0.63 Axiom fact_84_zadd__0__right:(forall (Z:int), (((eq int) ((plus_plus_int Z) zero_zero_int)) Z)).
% 0.45/0.63 Axiom fact_85_zadd__0:(forall (Z:int), (((eq int) ((plus_plus_int zero_zero_int) Z)) Z)).
% 0.45/0.63 Axiom fact_86_semiring__numeral__0__eq__0:(((eq int) (number_number_of_int pls)) zero_zero_int).
% 0.45/0.63 Axiom fact_87_semiring__numeral__0__eq__0:(((eq nat) (number_number_of_nat pls)) zero_zero_nat).
% 0.45/0.63 Axiom fact_88_number__of__Pls:(((eq int) (number_number_of_int pls)) zero_zero_int).
% 0.45/0.63 Axiom fact_89_semiring__norm_I112_J:(((eq int) zero_zero_int) (number_number_of_int pls)).
% 0.45/0.63 Axiom fact_90_
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