TSTP Solution File: ITP017^2 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP017^2 : TPTP v7.5.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 13:23:46 EDT 2021
% Result : Unknown 0.57s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ITP017^2 : TPTP v7.5.0. Bugfixed v7.5.0.
% 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Fri Mar 19 01:22:33 EDT 2021
% 0.13/0.34 % CPUTime :
% 0.13/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.35 Python 2.7.5
% 0.42/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.42/0.62 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/ITP001/ITP001^2.ax, trying next directory
% 0.42/0.62 FOF formula (<kernel.Constant object at 0x1e594d0>, <kernel.Type object at 0x1e59488>) of role type named del_tp
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring del:Type
% 0.42/0.62 FOF formula (<kernel.Constant object at 0x2ae7183058c0>, <kernel.Constant object at 0x1e59518>) of role type named bool
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring bool:del
% 0.42/0.62 FOF formula (<kernel.Constant object at 0x1e59200>, <kernel.Constant object at 0x1e59518>) of role type named ind
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ind:del
% 0.42/0.62 FOF formula (<kernel.Constant object at 0x1e594d0>, <kernel.DependentProduct object at 0x1e59170>) of role type named arr
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring arr:(del->(del->del))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0x1e59248>, <kernel.DependentProduct object at 0x1e59170>) of role type named mem
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring mem:(fofType->(del->Prop))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0x1e59200>, <kernel.DependentProduct object at 0x1e594d0>) of role type named ap
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ap:(fofType->(fofType->fofType))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0x1e59050>, <kernel.DependentProduct object at 0x1e593f8>) of role type named lam
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring lam:(del->((fofType->fofType)->fofType))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0x1e59368>, <kernel.DependentProduct object at 0x1e59170>) of role type named p
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring p:(fofType->Prop)
% 0.42/0.62 FOF formula (<kernel.Constant object at 0x1e594d0>, <kernel.DependentProduct object at 0x1e590e0>) of role type named stp_inj_o
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring inj__o:(Prop->fofType)
% 0.42/0.62 FOF formula (forall (X:Prop), (((eq Prop) (p (inj__o X))) X)) of role axiom named stp_inj_surj_o
% 0.42/0.62 A new axiom: (forall (X:Prop), (((eq Prop) (p (inj__o X))) X))
% 0.42/0.62 FOF formula (forall (X:Prop), ((mem (inj__o X)) bool)) of role axiom named stp_inj_mem_o
% 0.42/0.62 A new axiom: (forall (X:Prop), ((mem (inj__o X)) bool))
% 0.42/0.62 FOF formula (forall (X:fofType), (((mem X) bool)->(((eq fofType) X) (inj__o (p X))))) of role axiom named stp_iso_mem_o
% 0.42/0.62 A new axiom: (forall (X:fofType), (((mem X) bool)->(((eq fofType) X) (inj__o (p X)))))
% 0.42/0.62 FOF formula (forall (A:del) (B:del) (F:fofType), (((mem F) ((arr A) B))->(forall (X:fofType), (((mem X) A)->((mem ((ap F) X)) B))))) of role axiom named ap_tp
% 0.42/0.62 A new axiom: (forall (A:del) (B:del) (F:fofType), (((mem F) ((arr A) B))->(forall (X:fofType), (((mem X) A)->((mem ((ap F) X)) B)))))
% 0.42/0.62 FOF formula (forall (A:del) (B:del) (F:(fofType->fofType)), ((forall (X:fofType), (((mem X) A)->((mem (F X)) B)))->((mem ((lam A) F)) ((arr A) B)))) of role axiom named lam_tp
% 0.42/0.62 A new axiom: (forall (A:del) (B:del) (F:(fofType->fofType)), ((forall (X:fofType), (((mem X) A)->((mem (F X)) B)))->((mem ((lam A) F)) ((arr A) B))))
% 0.42/0.62 FOF formula (forall (A:del) (B:del) (F:fofType), (((mem F) ((arr A) B))->(forall (G:fofType), (((mem G) ((arr A) B))->((forall (X:fofType), (((mem X) A)->(((eq fofType) ((ap F) X)) ((ap G) X))))->(((eq fofType) F) G)))))) of role axiom named funcext
% 0.42/0.62 A new axiom: (forall (A:del) (B:del) (F:fofType), (((mem F) ((arr A) B))->(forall (G:fofType), (((mem G) ((arr A) B))->((forall (X:fofType), (((mem X) A)->(((eq fofType) ((ap F) X)) ((ap G) X))))->(((eq fofType) F) G))))))
% 0.42/0.62 FOF formula (forall (A:del) (F:(fofType->fofType)) (X:fofType), (((mem X) A)->(((eq fofType) ((ap ((lam A) F)) X)) (F X)))) of role axiom named beta
% 0.42/0.62 A new axiom: (forall (A:del) (F:(fofType->fofType)) (X:fofType), (((mem X) A)->(((eq fofType) ((ap ((lam A) F)) X)) (F X))))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0x1e37dd0>, <kernel.Constant object at 0x1e37998>) of role type named tp_ty_2Erealax_2Ereal
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ty_2Erealax_2Ereal:del
% 0.42/0.62 FOF formula (<kernel.Constant object at 0x1e37ea8>, <kernel.Type object at 0x20f77e8>) of role type named stp_ty_2Erealax_2Ereal
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring tp__ty_2Erealax_2Ereal:Type
% 0.42/0.62 FOF formula (<kernel.Constant object at 0x1e37950>, <kernel.DependentProduct object at 0x20f7830>) of role type named stp_inj_ty_2Erealax_2Ereal
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring inj__ty_2Erealax_2Ereal:(tp__ty_2Erealax_2Ereal->fofType)
% 0.42/0.62 FOF formula (<kernel.Constant object at 0x1e37dd0>, <kernel.DependentProduct object at 0x20f7b00>) of role type named stp_surj_ty_2Erealax_2Ereal
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring surj__ty_2Erealax_2Ereal:(fofType->tp__ty_2Erealax_2Ereal)
% 0.42/0.62 FOF formula (forall (X:tp__ty_2Erealax_2Ereal), (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal X))) X)) of role axiom named stp_inj_surj_ty_2Erealax_2Ereal
% 0.42/0.62 A new axiom: (forall (X:tp__ty_2Erealax_2Ereal), (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal X))) X))
% 0.42/0.62 FOF formula (forall (X:tp__ty_2Erealax_2Ereal), ((mem (inj__ty_2Erealax_2Ereal X)) ty_2Erealax_2Ereal)) of role axiom named stp_inj_mem_ty_2Erealax_2Ereal
% 0.42/0.62 A new axiom: (forall (X:tp__ty_2Erealax_2Ereal), ((mem (inj__ty_2Erealax_2Ereal X)) ty_2Erealax_2Ereal))
% 0.42/0.62 FOF formula (forall (X:fofType), (((mem X) ty_2Erealax_2Ereal)->(((eq fofType) X) (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal X))))) of role axiom named stp_iso_mem_ty_2Erealax_2Ereal
% 0.42/0.62 A new axiom: (forall (X:fofType), (((mem X) ty_2Erealax_2Ereal)->(((eq fofType) X) (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal X)))))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0x1e37ea8>, <kernel.DependentProduct object at 0x2ae71fe03c68>) of role type named tp_ty_2Epair_2Eprod
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ty_2Epair_2Eprod:(del->(del->del))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0x2ae71fe03518>, <kernel.Type object at 0x20f7b00>) of role type named stp_c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal:Type
% 0.42/0.62 FOF formula (<kernel.Constant object at 0x2ae71fe03ef0>, <kernel.DependentProduct object at 0x1e59710>) of role type named stp_inj_c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal:(tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal->fofType)
% 0.42/0.62 FOF formula (<kernel.Constant object at 0x2ae71fe03518>, <kernel.DependentProduct object at 0x1e590e0>) of role type named stp_surj_c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal:(fofType->tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal)
% 0.42/0.62 FOF formula (forall (X:tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal), (((eq tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal) (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal X))) X)) of role axiom named stp_inj_surj_c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal
% 0.42/0.62 A new axiom: (forall (X:tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal), (((eq tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal) (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal X))) X))
% 0.42/0.62 FOF formula (forall (X:tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal), ((mem (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal X)) ((ty_2Epair_2Eprod ty_2Erealax_2Ereal) ty_2Erealax_2Ereal))) of role axiom named stp_inj_mem_c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal
% 0.42/0.62 A new axiom: (forall (X:tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal), ((mem (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal X)) ((ty_2Epair_2Eprod ty_2Erealax_2Ereal) ty_2Erealax_2Ereal)))
% 0.42/0.62 FOF formula (forall (X:fofType), (((mem X) ((ty_2Epair_2Eprod ty_2Erealax_2Ereal) ty_2Erealax_2Ereal))->(((eq fofType) X) (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal X))))) of role axiom named stp_iso_mem_c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal
% 0.42/0.62 A new axiom: (forall (X:fofType), (((mem X) ((ty_2Epair_2Eprod ty_2Erealax_2Ereal) ty_2Erealax_2Ereal))->(((eq fofType) X) (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal X)))))
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x20f79e0>, <kernel.Constant object at 0x20f7b00>) of role type named tp_ty_2Enum_2Enum
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring ty_2Enum_2Enum:del
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x20f7950>, <kernel.Type object at 0x1e59b48>) of role type named stp_ty_2Enum_2Enum
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring tp__ty_2Enum_2Enum:Type
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x20f7b00>, <kernel.DependentProduct object at 0x1e59758>) of role type named stp_inj_ty_2Enum_2Enum
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring inj__ty_2Enum_2Enum:(tp__ty_2Enum_2Enum->fofType)
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x20f7950>, <kernel.DependentProduct object at 0x1e59e18>) of role type named stp_surj_ty_2Enum_2Enum
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring surj__ty_2Enum_2Enum:(fofType->tp__ty_2Enum_2Enum)
% 0.42/0.63 FOF formula (forall (X:tp__ty_2Enum_2Enum), (((eq tp__ty_2Enum_2Enum) (surj__ty_2Enum_2Enum (inj__ty_2Enum_2Enum X))) X)) of role axiom named stp_inj_surj_ty_2Enum_2Enum
% 0.42/0.63 A new axiom: (forall (X:tp__ty_2Enum_2Enum), (((eq tp__ty_2Enum_2Enum) (surj__ty_2Enum_2Enum (inj__ty_2Enum_2Enum X))) X))
% 0.42/0.63 FOF formula (forall (X:tp__ty_2Enum_2Enum), ((mem (inj__ty_2Enum_2Enum X)) ty_2Enum_2Enum)) of role axiom named stp_inj_mem_ty_2Enum_2Enum
% 0.42/0.63 A new axiom: (forall (X:tp__ty_2Enum_2Enum), ((mem (inj__ty_2Enum_2Enum X)) ty_2Enum_2Enum))
% 0.42/0.63 FOF formula (forall (X:fofType), (((mem X) ty_2Enum_2Enum)->(((eq fofType) X) (inj__ty_2Enum_2Enum (surj__ty_2Enum_2Enum X))))) of role axiom named stp_iso_mem_ty_2Enum_2Enum
% 0.42/0.63 A new axiom: (forall (X:fofType), (((mem X) ty_2Enum_2Enum)->(((eq fofType) X) (inj__ty_2Enum_2Enum (surj__ty_2Enum_2Enum X)))))
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x1e59e18>, <kernel.Single object at 0x1e59440>) of role type named tp_c_2Earithmetic_2EEVEN
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring c_2Earithmetic_2EEVEN:fofType
% 0.42/0.63 FOF formula ((mem c_2Earithmetic_2EEVEN) ((arr ty_2Enum_2Enum) bool)) of role axiom named mem_c_2Earithmetic_2EEVEN
% 0.42/0.63 A new axiom: ((mem c_2Earithmetic_2EEVEN) ((arr ty_2Enum_2Enum) bool))
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x1e59b00>, <kernel.Single object at 0x1e591b8>) of role type named tp_c_2Earithmetic_2EODD
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring c_2Earithmetic_2EODD:fofType
% 0.42/0.63 FOF formula ((mem c_2Earithmetic_2EODD) ((arr ty_2Enum_2Enum) bool)) of role axiom named mem_c_2Earithmetic_2EODD
% 0.42/0.63 A new axiom: ((mem c_2Earithmetic_2EODD) ((arr ty_2Enum_2Enum) bool))
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x1e59710>, <kernel.Single object at 0x1e59560>) of role type named tp_c_2Ebool_2ET
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring c_2Ebool_2ET:fofType
% 0.42/0.63 FOF formula ((mem c_2Ebool_2ET) bool) of role axiom named mem_c_2Ebool_2ET
% 0.42/0.63 A new axiom: ((mem c_2Ebool_2ET) bool)
% 0.42/0.63 FOF formula (p c_2Ebool_2ET) of role axiom named ax_true_p
% 0.42/0.63 A new axiom: (p c_2Ebool_2ET)
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x1e59710>, <kernel.Single object at 0x1e59680>) of role type named tp_c_2Earithmetic_2E_3C_3D
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring c_2Earithmetic_2E_3C_3D:fofType
% 0.42/0.63 FOF formula ((mem c_2Earithmetic_2E_3C_3D) ((arr ty_2Enum_2Enum) ((arr ty_2Enum_2Enum) bool))) of role axiom named mem_c_2Earithmetic_2E_3C_3D
% 0.42/0.63 A new axiom: ((mem c_2Earithmetic_2E_3C_3D) ((arr ty_2Enum_2Enum) ((arr ty_2Enum_2Enum) bool)))
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x1e59200>, <kernel.Single object at 0x1e59248>) of role type named tp_c_2Earithmetic_2E_3E
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring c_2Earithmetic_2E_3E:fofType
% 0.42/0.63 FOF formula ((mem c_2Earithmetic_2E_3E) ((arr ty_2Enum_2Enum) ((arr ty_2Enum_2Enum) bool))) of role axiom named mem_c_2Earithmetic_2E_3E
% 0.42/0.63 A new axiom: ((mem c_2Earithmetic_2E_3E) ((arr ty_2Enum_2Enum) ((arr ty_2Enum_2Enum) bool)))
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x1e59680>, <kernel.Single object at 0x1e59488>) of role type named tp_c_2Eprim__rec_2EPRE
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring c_2Eprim__rec_2EPRE:fofType
% 0.42/0.63 FOF formula ((mem c_2Eprim__rec_2EPRE) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum)) of role axiom named mem_c_2Eprim__rec_2EPRE
% 0.42/0.63 A new axiom: ((mem c_2Eprim__rec_2EPRE) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x1e59248>, <kernel.DependentProduct object at 0x1e599e0>) of role type named stp_fo_c_2Eprim__rec_2EPRE
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring fo__c_2Eprim__rec_2EPRE:(tp__ty_2Enum_2Enum->tp__ty_2Enum_2Enum)
% 0.49/0.64 FOF formula (forall (X0:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum (fo__c_2Eprim__rec_2EPRE X0))) ((ap c_2Eprim__rec_2EPRE) (inj__ty_2Enum_2Enum X0)))) of role axiom named stp_eq_fo_c_2Eprim__rec_2EPRE
% 0.49/0.64 A new axiom: (forall (X0:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum (fo__c_2Eprim__rec_2EPRE X0))) ((ap c_2Eprim__rec_2EPRE) (inj__ty_2Enum_2Enum X0))))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x1e59d40>, <kernel.Single object at 0x1e590e0>) of role type named tp_c_2Earithmetic_2EEXP
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring c_2Earithmetic_2EEXP:fofType
% 0.49/0.64 FOF formula ((mem c_2Earithmetic_2EEXP) ((arr ty_2Enum_2Enum) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum))) of role axiom named mem_c_2Earithmetic_2EEXP
% 0.49/0.64 A new axiom: ((mem c_2Earithmetic_2EEXP) ((arr ty_2Enum_2Enum) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x1e59950>, <kernel.DependentProduct object at 0x1e59998>) of role type named stp_fo_c_2Earithmetic_2EEXP
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring fo__c_2Earithmetic_2EEXP:(tp__ty_2Enum_2Enum->(tp__ty_2Enum_2Enum->tp__ty_2Enum_2Enum))
% 0.49/0.64 FOF formula (forall (X0:tp__ty_2Enum_2Enum) (X1:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum ((fo__c_2Earithmetic_2EEXP X0) X1))) ((ap ((ap c_2Earithmetic_2EEXP) (inj__ty_2Enum_2Enum X0))) (inj__ty_2Enum_2Enum X1)))) of role axiom named stp_eq_fo_c_2Earithmetic_2EEXP
% 0.49/0.64 A new axiom: (forall (X0:tp__ty_2Enum_2Enum) (X1:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum ((fo__c_2Earithmetic_2EEXP X0) X1))) ((ap ((ap c_2Earithmetic_2EEXP) (inj__ty_2Enum_2Enum X0))) (inj__ty_2Enum_2Enum X1))))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x1e593b0>, <kernel.Single object at 0x1e597e8>) of role type named tp_c_2Earithmetic_2E_2D
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring c_2Earithmetic_2E_2D:fofType
% 0.49/0.64 FOF formula ((mem c_2Earithmetic_2E_2D) ((arr ty_2Enum_2Enum) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum))) of role axiom named mem_c_2Earithmetic_2E_2D
% 0.49/0.64 A new axiom: ((mem c_2Earithmetic_2E_2D) ((arr ty_2Enum_2Enum) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x1e590e0>, <kernel.DependentProduct object at 0x1e59998>) of role type named stp_fo_c_2Earithmetic_2E_2D
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring fo__c_2Earithmetic_2E_2D:(tp__ty_2Enum_2Enum->(tp__ty_2Enum_2Enum->tp__ty_2Enum_2Enum))
% 0.49/0.64 FOF formula (forall (X0:tp__ty_2Enum_2Enum) (X1:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum ((fo__c_2Earithmetic_2E_2D X0) X1))) ((ap ((ap c_2Earithmetic_2E_2D) (inj__ty_2Enum_2Enum X0))) (inj__ty_2Enum_2Enum X1)))) of role axiom named stp_eq_fo_c_2Earithmetic_2E_2D
% 0.49/0.64 A new axiom: (forall (X0:tp__ty_2Enum_2Enum) (X1:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum ((fo__c_2Earithmetic_2E_2D X0) X1))) ((ap ((ap c_2Earithmetic_2E_2D) (inj__ty_2Enum_2Enum X0))) (inj__ty_2Enum_2Enum X1))))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x1e59050>, <kernel.Single object at 0x1e59098>) of role type named tp_c_2Earithmetic_2E_2A
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring c_2Earithmetic_2E_2A:fofType
% 0.49/0.64 FOF formula ((mem c_2Earithmetic_2E_2A) ((arr ty_2Enum_2Enum) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum))) of role axiom named mem_c_2Earithmetic_2E_2A
% 0.49/0.64 A new axiom: ((mem c_2Earithmetic_2E_2A) ((arr ty_2Enum_2Enum) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x1e597e8>, <kernel.DependentProduct object at 0x1e59998>) of role type named stp_fo_c_2Earithmetic_2E_2A
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring fo__c_2Earithmetic_2E_2A:(tp__ty_2Enum_2Enum->(tp__ty_2Enum_2Enum->tp__ty_2Enum_2Enum))
% 0.49/0.64 FOF formula (forall (X0:tp__ty_2Enum_2Enum) (X1:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum ((fo__c_2Earithmetic_2E_2A X0) X1))) ((ap ((ap c_2Earithmetic_2E_2A) (inj__ty_2Enum_2Enum X0))) (inj__ty_2Enum_2Enum X1)))) of role axiom named stp_eq_fo_c_2Earithmetic_2E_2A
% 0.49/0.64 A new axiom: (forall (X0:tp__ty_2Enum_2Enum) (X1:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum ((fo__c_2Earithmetic_2E_2A X0) X1))) ((ap ((ap c_2Earithmetic_2E_2A) (inj__ty_2Enum_2Enum X0))) (inj__ty_2Enum_2Enum X1))))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x1e59dd0>, <kernel.Single object at 0x1e59878>) of role type named tp_c_2Enumeral_2EiZ
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring c_2Enumeral_2EiZ:fofType
% 0.49/0.64 FOF formula ((mem c_2Enumeral_2EiZ) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum)) of role axiom named mem_c_2Enumeral_2EiZ
% 0.49/0.64 A new axiom: ((mem c_2Enumeral_2EiZ) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x1e59518>, <kernel.DependentProduct object at 0x1e59050>) of role type named stp_fo_c_2Enumeral_2EiZ
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring fo__c_2Enumeral_2EiZ:(tp__ty_2Enum_2Enum->tp__ty_2Enum_2Enum)
% 0.49/0.64 FOF formula (forall (X0:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum (fo__c_2Enumeral_2EiZ X0))) ((ap c_2Enumeral_2EiZ) (inj__ty_2Enum_2Enum X0)))) of role axiom named stp_eq_fo_c_2Enumeral_2EiZ
% 0.49/0.64 A new axiom: (forall (X0:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum (fo__c_2Enumeral_2EiZ X0))) ((ap c_2Enumeral_2EiZ) (inj__ty_2Enum_2Enum X0))))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x1e590e0>, <kernel.Single object at 0x1e592d8>) of role type named tp_c_2Earithmetic_2E_2B
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring c_2Earithmetic_2E_2B:fofType
% 0.49/0.64 FOF formula ((mem c_2Earithmetic_2E_2B) ((arr ty_2Enum_2Enum) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum))) of role axiom named mem_c_2Earithmetic_2E_2B
% 0.49/0.64 A new axiom: ((mem c_2Earithmetic_2E_2B) ((arr ty_2Enum_2Enum) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x1e59998>, <kernel.DependentProduct object at 0x1e590e0>) of role type named stp_fo_c_2Earithmetic_2E_2B
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring fo__c_2Earithmetic_2E_2B:(tp__ty_2Enum_2Enum->(tp__ty_2Enum_2Enum->tp__ty_2Enum_2Enum))
% 0.49/0.64 FOF formula (forall (X0:tp__ty_2Enum_2Enum) (X1:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum ((fo__c_2Earithmetic_2E_2B X0) X1))) ((ap ((ap c_2Earithmetic_2E_2B) (inj__ty_2Enum_2Enum X0))) (inj__ty_2Enum_2Enum X1)))) of role axiom named stp_eq_fo_c_2Earithmetic_2E_2B
% 0.49/0.64 A new axiom: (forall (X0:tp__ty_2Enum_2Enum) (X1:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum ((fo__c_2Earithmetic_2E_2B X0) X1))) ((ap ((ap c_2Earithmetic_2E_2B) (inj__ty_2Enum_2Enum X0))) (inj__ty_2Enum_2Enum X1))))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x1e59050>, <kernel.DependentProduct object at 0x1e5afc8>) of role type named tp_c_2Epair_2EFST
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring c_2Epair_2EFST:(del->(del->fofType))
% 0.49/0.64 FOF formula (forall (A_27a:del) (A_27b:del), ((mem ((c_2Epair_2EFST A_27a) A_27b)) ((arr ((ty_2Epair_2Eprod A_27a) A_27b)) A_27a))) of role axiom named mem_c_2Epair_2EFST
% 0.49/0.64 A new axiom: (forall (A_27a:del) (A_27b:del), ((mem ((c_2Epair_2EFST A_27a) A_27b)) ((arr ((ty_2Epair_2Eprod A_27a) A_27b)) A_27a)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x1e59050>, <kernel.DependentProduct object at 0x1e5acb0>) of role type named tp_c_2Epair_2E_2C
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring c_2Epair_2E_2C:(del->(del->fofType))
% 0.49/0.64 FOF formula (forall (A_27a:del) (A_27b:del), ((mem ((c_2Epair_2E_2C A_27a) A_27b)) ((arr A_27a) ((arr A_27b) ((ty_2Epair_2Eprod A_27a) A_27b))))) of role axiom named mem_c_2Epair_2E_2C
% 0.49/0.64 A new axiom: (forall (A_27a:del) (A_27b:del), ((mem ((c_2Epair_2E_2C A_27a) A_27b)) ((arr A_27a) ((arr A_27b) ((ty_2Epair_2Eprod A_27a) A_27b)))))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x1e590e0>, <kernel.DependentProduct object at 0x1e5aef0>) of role type named tp_c_2Epair_2ESND
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring c_2Epair_2ESND:(del->(del->fofType))
% 0.49/0.64 FOF formula (forall (A_27a:del) (A_27b:del), ((mem ((c_2Epair_2ESND A_27a) A_27b)) ((arr ((ty_2Epair_2Eprod A_27a) A_27b)) A_27b))) of role axiom named mem_c_2Epair_2ESND
% 0.49/0.64 A new axiom: (forall (A_27a:del) (A_27b:del), ((mem ((c_2Epair_2ESND A_27a) A_27b)) ((arr ((ty_2Epair_2Eprod A_27a) A_27b)) A_27b)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x1e5aef0>, <kernel.DependentProduct object at 0x1e5a710>) of role type named tp_c_2Ebool_2E_3F_21
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring c_2Ebool_2E_3F_21:(del->fofType)
% 0.49/0.64 FOF formula (forall (A_27a:del), ((mem (c_2Ebool_2E_3F_21 A_27a)) ((arr ((arr A_27a) bool)) bool))) of role axiom named mem_c_2Ebool_2E_3F_21
% 0.49/0.65 A new axiom: (forall (A_27a:del), ((mem (c_2Ebool_2E_3F_21 A_27a)) ((arr ((arr A_27a) bool)) bool)))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x1e5a368>, <kernel.Single object at 0x1e5a878>) of role type named tp_c_2Eprim__rec_2E_3C
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring c_2Eprim__rec_2E_3C:fofType
% 0.49/0.65 FOF formula ((mem c_2Eprim__rec_2E_3C) ((arr ty_2Enum_2Enum) ((arr ty_2Enum_2Enum) bool))) of role axiom named mem_c_2Eprim__rec_2E_3C
% 0.49/0.65 A new axiom: ((mem c_2Eprim__rec_2E_3C) ((arr ty_2Enum_2Enum) ((arr ty_2Enum_2Enum) bool)))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x1e5acb0>, <kernel.Single object at 0x1e5a560>) of role type named tp_c_2Earithmetic_2EBIT2
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring c_2Earithmetic_2EBIT2:fofType
% 0.49/0.65 FOF formula ((mem c_2Earithmetic_2EBIT2) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum)) of role axiom named mem_c_2Earithmetic_2EBIT2
% 0.49/0.65 A new axiom: ((mem c_2Earithmetic_2EBIT2) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x1e5af38>, <kernel.DependentProduct object at 0x2ae71fdfe7e8>) of role type named stp_fo_c_2Earithmetic_2EBIT2
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring fo__c_2Earithmetic_2EBIT2:(tp__ty_2Enum_2Enum->tp__ty_2Enum_2Enum)
% 0.49/0.65 FOF formula (forall (X0:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum (fo__c_2Earithmetic_2EBIT2 X0))) ((ap c_2Earithmetic_2EBIT2) (inj__ty_2Enum_2Enum X0)))) of role axiom named stp_eq_fo_c_2Earithmetic_2EBIT2
% 0.49/0.65 A new axiom: (forall (X0:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum (fo__c_2Earithmetic_2EBIT2 X0))) ((ap c_2Earithmetic_2EBIT2) (inj__ty_2Enum_2Enum X0))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x1e5a560>, <kernel.Single object at 0x1e5acb0>) of role type named tp_c_2Erealax_2Ereal__add
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring c_2Erealax_2Ereal__add:fofType
% 0.49/0.65 FOF formula ((mem c_2Erealax_2Ereal__add) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal))) of role axiom named mem_c_2Erealax_2Ereal__add
% 0.49/0.65 A new axiom: ((mem c_2Erealax_2Ereal__add) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal)))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x1e5a560>, <kernel.DependentProduct object at 0x2ae71fdfe7e8>) of role type named stp_fo_c_2Erealax_2Ereal__add
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring fo__c_2Erealax_2Ereal__add:(tp__ty_2Erealax_2Ereal->(tp__ty_2Erealax_2Ereal->tp__ty_2Erealax_2Ereal))
% 0.49/0.65 FOF formula (forall (X0:tp__ty_2Erealax_2Ereal) (X1:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal ((fo__c_2Erealax_2Ereal__add X0) X1))) ((ap ((ap c_2Erealax_2Ereal__add) (inj__ty_2Erealax_2Ereal X0))) (inj__ty_2Erealax_2Ereal X1)))) of role axiom named stp_eq_fo_c_2Erealax_2Ereal__add
% 0.49/0.65 A new axiom: (forall (X0:tp__ty_2Erealax_2Ereal) (X1:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal ((fo__c_2Erealax_2Ereal__add X0) X1))) ((ap ((ap c_2Erealax_2Ereal__add) (inj__ty_2Erealax_2Ereal X0))) (inj__ty_2Erealax_2Ereal X1))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x1e5af38>, <kernel.Single object at 0x2ae71fdfe5a8>) of role type named tp_c_2Ereal_2E_2F
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring c_2Ereal_2E_2F:fofType
% 0.49/0.65 FOF formula ((mem c_2Ereal_2E_2F) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal))) of role axiom named mem_c_2Ereal_2E_2F
% 0.49/0.65 A new axiom: ((mem c_2Ereal_2E_2F) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal)))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2ae71fdfeef0>, <kernel.DependentProduct object at 0x2ae71fdfefc8>) of role type named stp_fo_c_2Ereal_2E_2F
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring fo__c_2Ereal_2E_2F:(tp__ty_2Erealax_2Ereal->(tp__ty_2Erealax_2Ereal->tp__ty_2Erealax_2Ereal))
% 0.49/0.65 FOF formula (forall (X0:tp__ty_2Erealax_2Ereal) (X1:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal ((fo__c_2Ereal_2E_2F X0) X1))) ((ap ((ap c_2Ereal_2E_2F) (inj__ty_2Erealax_2Ereal X0))) (inj__ty_2Erealax_2Ereal X1)))) of role axiom named stp_eq_fo_c_2Ereal_2E_2F
% 0.49/0.65 A new axiom: (forall (X0:tp__ty_2Erealax_2Ereal) (X1:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal ((fo__c_2Ereal_2E_2F X0) X1))) ((ap ((ap c_2Ereal_2E_2F) (inj__ty_2Erealax_2Ereal X0))) (inj__ty_2Erealax_2Ereal X1))))
% 0.51/0.66 FOF formula (<kernel.Constant object at 0x2ae71fdfe0e0>, <kernel.DependentProduct object at 0x2ae71832e050>) of role type named tp_c_2Ebool_2ECOND
% 0.51/0.66 Using role type
% 0.51/0.66 Declaring c_2Ebool_2ECOND:(del->fofType)
% 0.51/0.66 FOF formula (forall (A_27a:del), ((mem (c_2Ebool_2ECOND A_27a)) ((arr bool) ((arr A_27a) ((arr A_27a) A_27a))))) of role axiom named mem_c_2Ebool_2ECOND
% 0.51/0.66 A new axiom: (forall (A_27a:del), ((mem (c_2Ebool_2ECOND A_27a)) ((arr bool) ((arr A_27a) ((arr A_27a) A_27a)))))
% 0.51/0.66 FOF formula (<kernel.Constant object at 0x2ae71fdfe0e0>, <kernel.Single object at 0x2ae71fdfe3b0>) of role type named tp_c_2Erealax_2Einv
% 0.51/0.66 Using role type
% 0.51/0.66 Declaring c_2Erealax_2Einv:fofType
% 0.51/0.66 FOF formula ((mem c_2Erealax_2Einv) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal)) of role axiom named mem_c_2Erealax_2Einv
% 0.51/0.66 A new axiom: ((mem c_2Erealax_2Einv) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal))
% 0.51/0.66 FOF formula (<kernel.Constant object at 0x2ae71fdfe5f0>, <kernel.DependentProduct object at 0x2ae71832e098>) of role type named stp_fo_c_2Erealax_2Einv
% 0.51/0.66 Using role type
% 0.51/0.66 Declaring fo__c_2Erealax_2Einv:(tp__ty_2Erealax_2Ereal->tp__ty_2Erealax_2Ereal)
% 0.51/0.66 FOF formula (forall (X0:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal (fo__c_2Erealax_2Einv X0))) ((ap c_2Erealax_2Einv) (inj__ty_2Erealax_2Ereal X0)))) of role axiom named stp_eq_fo_c_2Erealax_2Einv
% 0.51/0.66 A new axiom: (forall (X0:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal (fo__c_2Erealax_2Einv X0))) ((ap c_2Erealax_2Einv) (inj__ty_2Erealax_2Ereal X0))))
% 0.51/0.66 FOF formula (<kernel.Constant object at 0x2ae71fdfe5f0>, <kernel.Single object at 0x2ae71fdfeef0>) of role type named tp_c_2Ebool_2EF
% 0.51/0.66 Using role type
% 0.51/0.66 Declaring c_2Ebool_2EF:fofType
% 0.51/0.66 FOF formula ((mem c_2Ebool_2EF) bool) of role axiom named mem_c_2Ebool_2EF
% 0.51/0.66 A new axiom: ((mem c_2Ebool_2EF) bool)
% 0.51/0.66 FOF formula ((p c_2Ebool_2EF)->False) of role axiom named ax_false_p
% 0.51/0.66 A new axiom: ((p c_2Ebool_2EF)->False)
% 0.51/0.66 FOF formula (<kernel.Constant object at 0x2ae71fdfeef0>, <kernel.Single object at 0x2ae71832e128>) of role type named tp_c_2Ebool_2E_5C_2F
% 0.51/0.66 Using role type
% 0.51/0.66 Declaring c_2Ebool_2E_5C_2F:fofType
% 0.51/0.66 FOF formula ((mem c_2Ebool_2E_5C_2F) ((arr bool) ((arr bool) bool))) of role axiom named mem_c_2Ebool_2E_5C_2F
% 0.51/0.66 A new axiom: ((mem c_2Ebool_2E_5C_2F) ((arr bool) ((arr bool) bool)))
% 0.51/0.66 FOF formula (forall (Q:fofType), (((mem Q) bool)->(forall (R:fofType), (((mem R) bool)->((iff (p ((ap ((ap c_2Ebool_2E_5C_2F) Q)) R))) ((or (p Q)) (p R))))))) of role axiom named ax_or_p
% 0.51/0.66 A new axiom: (forall (Q:fofType), (((mem Q) bool)->(forall (R:fofType), (((mem R) bool)->((iff (p ((ap ((ap c_2Ebool_2E_5C_2F) Q)) R))) ((or (p Q)) (p R)))))))
% 0.51/0.66 FOF formula (<kernel.Constant object at 0x2ae71832e320>, <kernel.Single object at 0x2ae71832e200>) of role type named tp_c_2Ebool_2E_7E
% 0.51/0.66 Using role type
% 0.51/0.66 Declaring c_2Ebool_2E_7E:fofType
% 0.51/0.66 FOF formula ((mem c_2Ebool_2E_7E) ((arr bool) bool)) of role axiom named mem_c_2Ebool_2E_7E
% 0.51/0.66 A new axiom: ((mem c_2Ebool_2E_7E) ((arr bool) bool))
% 0.51/0.66 FOF formula (forall (Q:fofType), (((mem Q) bool)->((iff (p ((ap c_2Ebool_2E_7E) Q))) ((p Q)->False)))) of role axiom named ax_neg_p
% 0.51/0.66 A new axiom: (forall (Q:fofType), (((mem Q) bool)->((iff (p ((ap c_2Ebool_2E_7E) Q))) ((p Q)->False))))
% 0.51/0.66 FOF formula (<kernel.Constant object at 0x2ae71832e3b0>, <kernel.Single object at 0x2ae71832e488>) of role type named tp_c_2Earithmetic_2E_3E_3D
% 0.51/0.66 Using role type
% 0.51/0.66 Declaring c_2Earithmetic_2E_3E_3D:fofType
% 0.51/0.66 FOF formula ((mem c_2Earithmetic_2E_3E_3D) ((arr ty_2Enum_2Enum) ((arr ty_2Enum_2Enum) bool))) of role axiom named mem_c_2Earithmetic_2E_3E_3D
% 0.51/0.66 A new axiom: ((mem c_2Earithmetic_2E_3E_3D) ((arr ty_2Enum_2Enum) ((arr ty_2Enum_2Enum) bool)))
% 0.51/0.66 FOF formula (<kernel.Constant object at 0x2ae71832e4d0>, <kernel.Single object at 0x2ae71832e758>) of role type named tp_c_2Erealax_2Ereal__mul
% 0.51/0.66 Using role type
% 0.51/0.66 Declaring c_2Erealax_2Ereal__mul:fofType
% 0.51/0.66 FOF formula ((mem c_2Erealax_2Ereal__mul) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal))) of role axiom named mem_c_2Erealax_2Ereal__mul
% 0.51/0.67 A new axiom: ((mem c_2Erealax_2Ereal__mul) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal)))
% 0.51/0.67 FOF formula (<kernel.Constant object at 0x2ae71832e170>, <kernel.DependentProduct object at 0x2ae71832e638>) of role type named stp_fo_c_2Erealax_2Ereal__mul
% 0.51/0.67 Using role type
% 0.51/0.67 Declaring fo__c_2Erealax_2Ereal__mul:(tp__ty_2Erealax_2Ereal->(tp__ty_2Erealax_2Ereal->tp__ty_2Erealax_2Ereal))
% 0.51/0.67 FOF formula (forall (X0:tp__ty_2Erealax_2Ereal) (X1:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal ((fo__c_2Erealax_2Ereal__mul X0) X1))) ((ap ((ap c_2Erealax_2Ereal__mul) (inj__ty_2Erealax_2Ereal X0))) (inj__ty_2Erealax_2Ereal X1)))) of role axiom named stp_eq_fo_c_2Erealax_2Ereal__mul
% 0.51/0.67 A new axiom: (forall (X0:tp__ty_2Erealax_2Ereal) (X1:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal ((fo__c_2Erealax_2Ereal__mul X0) X1))) ((ap ((ap c_2Erealax_2Ereal__mul) (inj__ty_2Erealax_2Ereal X0))) (inj__ty_2Erealax_2Ereal X1))))
% 0.51/0.67 FOF formula (<kernel.Constant object at 0x2ae71832e680>, <kernel.Single object at 0x2ae71832e488>) of role type named tp_c_2Erealax_2Ereal__neg
% 0.51/0.67 Using role type
% 0.51/0.67 Declaring c_2Erealax_2Ereal__neg:fofType
% 0.51/0.67 FOF formula ((mem c_2Erealax_2Ereal__neg) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal)) of role axiom named mem_c_2Erealax_2Ereal__neg
% 0.51/0.67 A new axiom: ((mem c_2Erealax_2Ereal__neg) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal))
% 0.51/0.67 FOF formula (<kernel.Constant object at 0x2ae71832e2d8>, <kernel.DependentProduct object at 0x2ae71832e638>) of role type named stp_fo_c_2Erealax_2Ereal__neg
% 0.51/0.67 Using role type
% 0.51/0.67 Declaring fo__c_2Erealax_2Ereal__neg:(tp__ty_2Erealax_2Ereal->tp__ty_2Erealax_2Ereal)
% 0.51/0.67 FOF formula (forall (X0:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal (fo__c_2Erealax_2Ereal__neg X0))) ((ap c_2Erealax_2Ereal__neg) (inj__ty_2Erealax_2Ereal X0)))) of role axiom named stp_eq_fo_c_2Erealax_2Ereal__neg
% 0.51/0.67 A new axiom: (forall (X0:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal (fo__c_2Erealax_2Ereal__neg X0))) ((ap c_2Erealax_2Ereal__neg) (inj__ty_2Erealax_2Ereal X0))))
% 0.51/0.67 FOF formula (<kernel.Constant object at 0x2ae71832e9e0>, <kernel.DependentProduct object at 0x2ae71832e7a0>) of role type named tp_c_2Emin_2E_3D
% 0.51/0.67 Using role type
% 0.51/0.67 Declaring c_2Emin_2E_3D:(del->fofType)
% 0.51/0.67 FOF formula (forall (A_27a:del), ((mem (c_2Emin_2E_3D A_27a)) ((arr A_27a) ((arr A_27a) bool)))) of role axiom named mem_c_2Emin_2E_3D
% 0.51/0.67 A new axiom: (forall (A_27a:del), ((mem (c_2Emin_2E_3D A_27a)) ((arr A_27a) ((arr A_27a) bool))))
% 0.51/0.67 FOF formula (forall (A:del) (X:fofType), (((mem X) A)->(forall (Y:fofType), (((mem Y) A)->((iff (p ((ap ((ap (c_2Emin_2E_3D A)) X)) Y))) (((eq fofType) X) Y)))))) of role axiom named ax_eq_p
% 0.51/0.67 A new axiom: (forall (A:del) (X:fofType), (((mem X) A)->(forall (Y:fofType), (((mem Y) A)->((iff (p ((ap ((ap (c_2Emin_2E_3D A)) X)) Y))) (((eq fofType) X) Y))))))
% 0.51/0.67 FOF formula (<kernel.Constant object at 0x2ae71832e518>, <kernel.Single object at 0x2ae71832ea70>) of role type named tp_c_2Ereal_2Epow
% 0.51/0.67 Using role type
% 0.51/0.67 Declaring c_2Ereal_2Epow:fofType
% 0.51/0.67 FOF formula ((mem c_2Ereal_2Epow) ((arr ty_2Erealax_2Ereal) ((arr ty_2Enum_2Enum) ty_2Erealax_2Ereal))) of role axiom named mem_c_2Ereal_2Epow
% 0.51/0.67 A new axiom: ((mem c_2Ereal_2Epow) ((arr ty_2Erealax_2Ereal) ((arr ty_2Enum_2Enum) ty_2Erealax_2Ereal)))
% 0.51/0.67 FOF formula (<kernel.Constant object at 0x2ae71832e488>, <kernel.DependentProduct object at 0x2ae71832e878>) of role type named stp_fo_c_2Ereal_2Epow
% 0.51/0.67 Using role type
% 0.51/0.67 Declaring fo__c_2Ereal_2Epow:(tp__ty_2Erealax_2Ereal->(tp__ty_2Enum_2Enum->tp__ty_2Erealax_2Ereal))
% 0.51/0.67 FOF formula (forall (X0:tp__ty_2Erealax_2Ereal) (X1:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Erealax_2Ereal ((fo__c_2Ereal_2Epow X0) X1))) ((ap ((ap c_2Ereal_2Epow) (inj__ty_2Erealax_2Ereal X0))) (inj__ty_2Enum_2Enum X1)))) of role axiom named stp_eq_fo_c_2Ereal_2Epow
% 0.51/0.67 A new axiom: (forall (X0:tp__ty_2Erealax_2Ereal) (X1:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Erealax_2Ereal ((fo__c_2Ereal_2Epow X0) X1))) ((ap ((ap c_2Ereal_2Epow) (inj__ty_2Erealax_2Ereal X0))) (inj__ty_2Enum_2Enum X1))))
% 0.51/0.67 FOF formula (<kernel.Constant object at 0x2ae71832ed88>, <kernel.Single object at 0x2ae71832e6c8>) of role type named tp_c_2Earithmetic_2EZERO
% 0.51/0.67 Using role type
% 0.51/0.67 Declaring c_2Earithmetic_2EZERO:fofType
% 0.51/0.67 FOF formula ((mem c_2Earithmetic_2EZERO) ty_2Enum_2Enum) of role axiom named mem_c_2Earithmetic_2EZERO
% 0.51/0.67 A new axiom: ((mem c_2Earithmetic_2EZERO) ty_2Enum_2Enum)
% 0.51/0.67 FOF formula (<kernel.Constant object at 0x2ae71832e170>, <kernel.Constant object at 0x2ae71832ea70>) of role type named stp_fo_c_2Earithmetic_2EZERO
% 0.51/0.67 Using role type
% 0.51/0.67 Declaring fo__c_2Earithmetic_2EZERO:tp__ty_2Enum_2Enum
% 0.51/0.67 FOF formula (((eq fofType) (inj__ty_2Enum_2Enum fo__c_2Earithmetic_2EZERO)) c_2Earithmetic_2EZERO) of role axiom named stp_eq_fo_c_2Earithmetic_2EZERO
% 0.51/0.67 A new axiom: (((eq fofType) (inj__ty_2Enum_2Enum fo__c_2Earithmetic_2EZERO)) c_2Earithmetic_2EZERO)
% 0.51/0.67 FOF formula (<kernel.Constant object at 0x2ae71832ee18>, <kernel.Single object at 0x2ae71832e878>) of role type named tp_c_2Earithmetic_2EBIT1
% 0.51/0.67 Using role type
% 0.51/0.67 Declaring c_2Earithmetic_2EBIT1:fofType
% 0.51/0.67 FOF formula ((mem c_2Earithmetic_2EBIT1) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum)) of role axiom named mem_c_2Earithmetic_2EBIT1
% 0.51/0.67 A new axiom: ((mem c_2Earithmetic_2EBIT1) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum))
% 0.51/0.67 FOF formula (<kernel.Constant object at 0x2ae71832ea28>, <kernel.DependentProduct object at 0x2ae71832eb90>) of role type named stp_fo_c_2Earithmetic_2EBIT1
% 0.51/0.67 Using role type
% 0.51/0.67 Declaring fo__c_2Earithmetic_2EBIT1:(tp__ty_2Enum_2Enum->tp__ty_2Enum_2Enum)
% 0.51/0.67 FOF formula (forall (X0:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum (fo__c_2Earithmetic_2EBIT1 X0))) ((ap c_2Earithmetic_2EBIT1) (inj__ty_2Enum_2Enum X0)))) of role axiom named stp_eq_fo_c_2Earithmetic_2EBIT1
% 0.51/0.67 A new axiom: (forall (X0:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum (fo__c_2Earithmetic_2EBIT1 X0))) ((ap c_2Earithmetic_2EBIT1) (inj__ty_2Enum_2Enum X0))))
% 0.51/0.67 FOF formula (<kernel.Constant object at 0x2ae71832ecb0>, <kernel.Single object at 0x2ae71832e518>) of role type named tp_c_2Earithmetic_2ENUMERAL
% 0.51/0.67 Using role type
% 0.51/0.67 Declaring c_2Earithmetic_2ENUMERAL:fofType
% 0.51/0.67 FOF formula ((mem c_2Earithmetic_2ENUMERAL) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum)) of role axiom named mem_c_2Earithmetic_2ENUMERAL
% 0.51/0.67 A new axiom: ((mem c_2Earithmetic_2ENUMERAL) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum))
% 0.51/0.67 FOF formula (<kernel.Constant object at 0x2ae71832e878>, <kernel.DependentProduct object at 0x2ae71832e320>) of role type named stp_fo_c_2Earithmetic_2ENUMERAL
% 0.51/0.67 Using role type
% 0.51/0.67 Declaring fo__c_2Earithmetic_2ENUMERAL:(tp__ty_2Enum_2Enum->tp__ty_2Enum_2Enum)
% 0.51/0.67 FOF formula (forall (X0:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum (fo__c_2Earithmetic_2ENUMERAL X0))) ((ap c_2Earithmetic_2ENUMERAL) (inj__ty_2Enum_2Enum X0)))) of role axiom named stp_eq_fo_c_2Earithmetic_2ENUMERAL
% 0.51/0.67 A new axiom: (forall (X0:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum (fo__c_2Earithmetic_2ENUMERAL X0))) ((ap c_2Earithmetic_2ENUMERAL) (inj__ty_2Enum_2Enum X0))))
% 0.51/0.67 FOF formula (<kernel.Constant object at 0x2ae71832ee60>, <kernel.Single object at 0x2ae71832eef0>) of role type named tp_c_2Ereal_2Eabs
% 0.51/0.67 Using role type
% 0.51/0.67 Declaring c_2Ereal_2Eabs:fofType
% 0.51/0.67 FOF formula ((mem c_2Ereal_2Eabs) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal)) of role axiom named mem_c_2Ereal_2Eabs
% 0.51/0.67 A new axiom: ((mem c_2Ereal_2Eabs) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal))
% 0.51/0.67 FOF formula (<kernel.Constant object at 0x2ae71832eea8>, <kernel.DependentProduct object at 0x2ae71832ef80>) of role type named stp_fo_c_2Ereal_2Eabs
% 0.51/0.67 Using role type
% 0.51/0.67 Declaring fo__c_2Ereal_2Eabs:(tp__ty_2Erealax_2Ereal->tp__ty_2Erealax_2Ereal)
% 0.51/0.67 FOF formula (forall (X0:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal (fo__c_2Ereal_2Eabs X0))) ((ap c_2Ereal_2Eabs) (inj__ty_2Erealax_2Ereal X0)))) of role axiom named stp_eq_fo_c_2Ereal_2Eabs
% 0.51/0.67 A new axiom: (forall (X0:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal (fo__c_2Ereal_2Eabs X0))) ((ap c_2Ereal_2Eabs) (inj__ty_2Erealax_2Ereal X0))))
% 0.51/0.67 FOF formula (<kernel.Constant object at 0x2ae71832eef0>, <kernel.Single object at 0x2ae71832e320>) of role type named tp_c_2Erealax_2Ereal__lt
% 0.51/0.67 Using role type
% 0.51/0.68 Declaring c_2Erealax_2Ereal__lt:fofType
% 0.51/0.68 FOF formula ((mem c_2Erealax_2Ereal__lt) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) bool))) of role axiom named mem_c_2Erealax_2Ereal__lt
% 0.51/0.68 A new axiom: ((mem c_2Erealax_2Ereal__lt) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) bool)))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x2ae71832ebd8>, <kernel.DependentProduct object at 0x1e48290>) of role type named tp_c_2Ebool_2E_3F
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring c_2Ebool_2E_3F:(del->fofType)
% 0.51/0.68 FOF formula (forall (A_27a:del), ((mem (c_2Ebool_2E_3F A_27a)) ((arr ((arr A_27a) bool)) bool))) of role axiom named mem_c_2Ebool_2E_3F
% 0.51/0.68 A new axiom: (forall (A_27a:del), ((mem (c_2Ebool_2E_3F A_27a)) ((arr ((arr A_27a) bool)) bool)))
% 0.51/0.68 FOF formula (forall (A:del) (Q:fofType), (((mem Q) ((arr A) bool))->((iff (p ((ap (c_2Ebool_2E_3F A)) Q))) ((ex fofType) (fun (X:fofType)=> ((and ((mem X) A)) (p ((ap Q) X)))))))) of role axiom named ax_ex_p
% 0.51/0.68 A new axiom: (forall (A:del) (Q:fofType), (((mem Q) ((arr A) bool))->((iff (p ((ap (c_2Ebool_2E_3F A)) Q))) ((ex fofType) (fun (X:fofType)=> ((and ((mem X) A)) (p ((ap Q) X))))))))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x2ae71832e680>, <kernel.Single object at 0x2ae71832ef80>) of role type named tp_c_2Enum_2E0
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring c_2Enum_2E0:fofType
% 0.51/0.68 FOF formula ((mem c_2Enum_2E0) ty_2Enum_2Enum) of role axiom named mem_c_2Enum_2E0
% 0.51/0.68 A new axiom: ((mem c_2Enum_2E0) ty_2Enum_2Enum)
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x2ae71832ebd8>, <kernel.Constant object at 0x1e483b0>) of role type named stp_fo_c_2Enum_2E0
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring fo__c_2Enum_2E0:tp__ty_2Enum_2Enum
% 0.51/0.68 FOF formula (((eq fofType) (inj__ty_2Enum_2Enum fo__c_2Enum_2E0)) c_2Enum_2E0) of role axiom named stp_eq_fo_c_2Enum_2E0
% 0.51/0.68 A new axiom: (((eq fofType) (inj__ty_2Enum_2Enum fo__c_2Enum_2E0)) c_2Enum_2E0)
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x2ae71832e638>, <kernel.Single object at 0x1e48680>) of role type named tp_c_2Ereal_2Ereal__of__num
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring c_2Ereal_2Ereal__of__num:fofType
% 0.51/0.68 FOF formula ((mem c_2Ereal_2Ereal__of__num) ((arr ty_2Enum_2Enum) ty_2Erealax_2Ereal)) of role axiom named mem_c_2Ereal_2Ereal__of__num
% 0.51/0.68 A new axiom: ((mem c_2Ereal_2Ereal__of__num) ((arr ty_2Enum_2Enum) ty_2Erealax_2Ereal))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1e482d8>, <kernel.DependentProduct object at 0x1e486c8>) of role type named stp_fo_c_2Ereal_2Ereal__of__num
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring fo__c_2Ereal_2Ereal__of__num:(tp__ty_2Enum_2Enum->tp__ty_2Erealax_2Ereal)
% 0.51/0.68 FOF formula (forall (X0:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Erealax_2Ereal (fo__c_2Ereal_2Ereal__of__num X0))) ((ap c_2Ereal_2Ereal__of__num) (inj__ty_2Enum_2Enum X0)))) of role axiom named stp_eq_fo_c_2Ereal_2Ereal__of__num
% 0.51/0.68 A new axiom: (forall (X0:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Erealax_2Ereal (fo__c_2Ereal_2Ereal__of__num X0))) ((ap c_2Ereal_2Ereal__of__num) (inj__ty_2Enum_2Enum X0))))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1e484d0>, <kernel.Single object at 0x1e48440>) of role type named tp_c_2Ereal_2Ereal__sub
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring c_2Ereal_2Ereal__sub:fofType
% 0.51/0.68 FOF formula ((mem c_2Ereal_2Ereal__sub) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal))) of role axiom named mem_c_2Ereal_2Ereal__sub
% 0.51/0.68 A new axiom: ((mem c_2Ereal_2Ereal__sub) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal)))
% 0.51/0.68 FOF formula (<kernel.Constant object at 0x1e48248>, <kernel.DependentProduct object at 0x1e48290>) of role type named stp_fo_c_2Ereal_2Ereal__sub
% 0.51/0.68 Using role type
% 0.51/0.68 Declaring fo__c_2Ereal_2Ereal__sub:(tp__ty_2Erealax_2Ereal->(tp__ty_2Erealax_2Ereal->tp__ty_2Erealax_2Ereal))
% 0.51/0.68 FOF formula (forall (X0:tp__ty_2Erealax_2Ereal) (X1:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal ((fo__c_2Ereal_2Ereal__sub X0) X1))) ((ap ((ap c_2Ereal_2Ereal__sub) (inj__ty_2Erealax_2Ereal X0))) (inj__ty_2Erealax_2Ereal X1)))) of role axiom named stp_eq_fo_c_2Ereal_2Ereal__sub
% 0.51/0.68 A new axiom: (forall (X0:tp__ty_2Erealax_2Ereal) (X1:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal ((fo__c_2Ereal_2Ereal__sub X0) X1))) ((ap ((ap c_2Ereal_2Ereal__sub) (inj__ty_2Erealax_2Ereal X0))) (inj__ty_2Erealax_2Ereal X1))))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1e48488>, <kernel.Single object at 0x1e48368>) of role type named tp_c_2Eseq_2E_2D_2D_3E
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring c_2Eseq_2E_2D_2D_3E:fofType
% 0.51/0.69 FOF formula ((mem c_2Eseq_2E_2D_2D_3E) ((arr ((arr ty_2Enum_2Enum) ty_2Erealax_2Ereal)) ((arr ty_2Erealax_2Ereal) bool))) of role axiom named mem_c_2Eseq_2E_2D_2D_3E
% 0.51/0.69 A new axiom: ((mem c_2Eseq_2E_2D_2D_3E) ((arr ((arr ty_2Enum_2Enum) ty_2Erealax_2Ereal)) ((arr ty_2Erealax_2Ereal) bool)))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1e48440>, <kernel.Single object at 0x1e48830>) of role type named tp_c_2Ereal_2Ereal__lte
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring c_2Ereal_2Ereal__lte:fofType
% 0.51/0.69 FOF formula ((mem c_2Ereal_2Ereal__lte) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) bool))) of role axiom named mem_c_2Ereal_2Ereal__lte
% 0.51/0.69 A new axiom: ((mem c_2Ereal_2Ereal__lte) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) bool)))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1e48290>, <kernel.Single object at 0x1e48488>) of role type named tp_c_2Enum_2ESUC
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring c_2Enum_2ESUC:fofType
% 0.51/0.69 FOF formula ((mem c_2Enum_2ESUC) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum)) of role axiom named mem_c_2Enum_2ESUC
% 0.51/0.69 A new axiom: ((mem c_2Enum_2ESUC) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1e48830>, <kernel.DependentProduct object at 0x1e48248>) of role type named stp_fo_c_2Enum_2ESUC
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring fo__c_2Enum_2ESUC:(tp__ty_2Enum_2Enum->tp__ty_2Enum_2Enum)
% 0.51/0.69 FOF formula (forall (X0:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum (fo__c_2Enum_2ESUC X0))) ((ap c_2Enum_2ESUC) (inj__ty_2Enum_2Enum X0)))) of role axiom named stp_eq_fo_c_2Enum_2ESUC
% 0.51/0.69 A new axiom: (forall (X0:tp__ty_2Enum_2Enum), (((eq fofType) (inj__ty_2Enum_2Enum (fo__c_2Enum_2ESUC X0))) ((ap c_2Enum_2ESUC) (inj__ty_2Enum_2Enum X0))))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1e485a8>, <kernel.Single object at 0x1e48518>) of role type named tp_c_2Ereal_2Ereal__ge
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring c_2Ereal_2Ereal__ge:fofType
% 0.51/0.69 FOF formula ((mem c_2Ereal_2Ereal__ge) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) bool))) of role axiom named mem_c_2Ereal_2Ereal__ge
% 0.51/0.69 A new axiom: ((mem c_2Ereal_2Ereal__ge) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) bool)))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1e48290>, <kernel.Single object at 0x1e48a28>) of role type named tp_c_2Ebool_2E_2F_5C
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring c_2Ebool_2E_2F_5C:fofType
% 0.51/0.69 FOF formula ((mem c_2Ebool_2E_2F_5C) ((arr bool) ((arr bool) bool))) of role axiom named mem_c_2Ebool_2E_2F_5C
% 0.51/0.69 A new axiom: ((mem c_2Ebool_2E_2F_5C) ((arr bool) ((arr bool) bool)))
% 0.51/0.69 FOF formula (forall (Q:fofType), (((mem Q) bool)->(forall (R:fofType), (((mem R) bool)->((iff (p ((ap ((ap c_2Ebool_2E_2F_5C) Q)) R))) ((and (p Q)) (p R))))))) of role axiom named ax_and_p
% 0.51/0.69 A new axiom: (forall (Q:fofType), (((mem Q) bool)->(forall (R:fofType), (((mem R) bool)->((iff (p ((ap ((ap c_2Ebool_2E_2F_5C) Q)) R))) ((and (p Q)) (p R)))))))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1e48a70>, <kernel.Single object at 0x1e48518>) of role type named tp_c_2Emin_2E_3D_3D_3E
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring c_2Emin_2E_3D_3D_3E:fofType
% 0.51/0.69 FOF formula ((mem c_2Emin_2E_3D_3D_3E) ((arr bool) ((arr bool) bool))) of role axiom named mem_c_2Emin_2E_3D_3D_3E
% 0.51/0.69 A new axiom: ((mem c_2Emin_2E_3D_3D_3E) ((arr bool) ((arr bool) bool)))
% 0.51/0.69 FOF formula (forall (Q:fofType), (((mem Q) bool)->(forall (R:fofType), (((mem R) bool)->((iff (p ((ap ((ap c_2Emin_2E_3D_3D_3E) Q)) R))) ((p Q)->(p R))))))) of role axiom named ax_imp_p
% 0.51/0.69 A new axiom: (forall (Q:fofType), (((mem Q) bool)->(forall (R:fofType), (((mem R) bool)->((iff (p ((ap ((ap c_2Emin_2E_3D_3D_3E) Q)) R))) ((p Q)->(p R)))))))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x1e48ab8>, <kernel.DependentProduct object at 0x1e48f80>) of role type named tp_c_2Ebool_2E_21
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring c_2Ebool_2E_21:(del->fofType)
% 0.51/0.69 FOF formula (forall (A_27a:del), ((mem (c_2Ebool_2E_21 A_27a)) ((arr ((arr A_27a) bool)) bool))) of role axiom named mem_c_2Ebool_2E_21
% 0.51/0.70 A new axiom: (forall (A_27a:del), ((mem (c_2Ebool_2E_21 A_27a)) ((arr ((arr A_27a) bool)) bool)))
% 0.51/0.70 FOF formula (forall (A:del) (Q:fofType), (((mem Q) ((arr A) bool))->((iff (p ((ap (c_2Ebool_2E_21 A)) Q))) (forall (X:fofType), (((mem X) A)->(p ((ap Q) X))))))) of role axiom named ax_all_p
% 0.51/0.70 A new axiom: (forall (A:del) (Q:fofType), (((mem Q) ((arr A) bool))->((iff (p ((ap (c_2Ebool_2E_21 A)) Q))) (forall (X:fofType), (((mem X) A)->(p ((ap Q) X)))))))
% 0.51/0.70 FOF formula (((eq tp__ty_2Enum_2Enum) (surj__ty_2Enum_2Enum ((ap c_2Earithmetic_2ENUMERAL) ((ap c_2Earithmetic_2EBIT2) (inj__ty_2Enum_2Enum fo__c_2Earithmetic_2EZERO))))) (surj__ty_2Enum_2Enum ((ap c_2Enum_2ESUC) ((ap c_2Earithmetic_2ENUMERAL) ((ap c_2Earithmetic_2EBIT1) (inj__ty_2Enum_2Enum fo__c_2Earithmetic_2EZERO)))))) of role axiom named conj_thm_2Earithmetic_2ETWO
% 0.51/0.70 A new axiom: (((eq tp__ty_2Enum_2Enum) (surj__ty_2Enum_2Enum ((ap c_2Earithmetic_2ENUMERAL) ((ap c_2Earithmetic_2EBIT2) (inj__ty_2Enum_2Enum fo__c_2Earithmetic_2EZERO))))) (surj__ty_2Enum_2Enum ((ap c_2Enum_2ESUC) ((ap c_2Earithmetic_2ENUMERAL) ((ap c_2Earithmetic_2EBIT1) (inj__ty_2Enum_2Enum fo__c_2Earithmetic_2EZERO))))))
% 0.51/0.70 FOF formula (forall (V0m:tp__ty_2Enum_2Enum) (V1n:tp__ty_2Enum_2Enum), (((eq tp__ty_2Enum_2Enum) (surj__ty_2Enum_2Enum ((ap ((ap c_2Earithmetic_2E_2B) (inj__ty_2Enum_2Enum V0m))) (inj__ty_2Enum_2Enum V1n)))) (surj__ty_2Enum_2Enum ((ap ((ap c_2Earithmetic_2E_2B) (inj__ty_2Enum_2Enum V1n))) (inj__ty_2Enum_2Enum V0m))))) of role axiom named conj_thm_2Earithmetic_2EADD__SYM
% 0.51/0.70 A new axiom: (forall (V0m:tp__ty_2Enum_2Enum) (V1n:tp__ty_2Enum_2Enum), (((eq tp__ty_2Enum_2Enum) (surj__ty_2Enum_2Enum ((ap ((ap c_2Earithmetic_2E_2B) (inj__ty_2Enum_2Enum V0m))) (inj__ty_2Enum_2Enum V1n)))) (surj__ty_2Enum_2Enum ((ap ((ap c_2Earithmetic_2E_2B) (inj__ty_2Enum_2Enum V1n))) (inj__ty_2Enum_2Enum V0m)))))
% 0.51/0.70 FOF formula (forall (V0m:tp__ty_2Enum_2Enum) (V1n:tp__ty_2Enum_2Enum), (p ((ap ((ap c_2Earithmetic_2E_3C_3D) (inj__ty_2Enum_2Enum V0m))) ((ap ((ap c_2Earithmetic_2E_2B) (inj__ty_2Enum_2Enum V0m))) (inj__ty_2Enum_2Enum V1n))))) of role axiom named conj_thm_2Earithmetic_2ELESS__EQ__ADD
% 0.51/0.70 A new axiom: (forall (V0m:tp__ty_2Enum_2Enum) (V1n:tp__ty_2Enum_2Enum), (p ((ap ((ap c_2Earithmetic_2E_3C_3D) (inj__ty_2Enum_2Enum V0m))) ((ap ((ap c_2Earithmetic_2E_2B) (inj__ty_2Enum_2Enum V0m))) (inj__ty_2Enum_2Enum V1n)))))
% 0.51/0.70 FOF formula (forall (V0n:tp__ty_2Enum_2Enum) (V1m:tp__ty_2Enum_2Enum), ((iff (p ((ap ((ap c_2Earithmetic_2E_3E_3D) (inj__ty_2Enum_2Enum V0n))) (inj__ty_2Enum_2Enum V1m)))) (p ((ap ((ap c_2Earithmetic_2E_3C_3D) (inj__ty_2Enum_2Enum V1m))) (inj__ty_2Enum_2Enum V0n))))) of role axiom named conj_thm_2Earithmetic_2EGREATER__EQ
% 0.51/0.70 A new axiom: (forall (V0n:tp__ty_2Enum_2Enum) (V1m:tp__ty_2Enum_2Enum), ((iff (p ((ap ((ap c_2Earithmetic_2E_3E_3D) (inj__ty_2Enum_2Enum V0n))) (inj__ty_2Enum_2Enum V1m)))) (p ((ap ((ap c_2Earithmetic_2E_3C_3D) (inj__ty_2Enum_2Enum V1m))) (inj__ty_2Enum_2Enum V0n)))))
% 0.51/0.70 FOF formula (forall (A_27a:del), (((eq fofType) (c_2Ebool_2E_3F_21 A_27a)) ((lam ((arr A_27a) bool)) (fun (V0P:fofType)=> ((ap ((ap c_2Ebool_2E_2F_5C) ((ap (c_2Ebool_2E_3F A_27a)) V0P))) ((ap (c_2Ebool_2E_21 A_27a)) ((lam A_27a) (fun (V1x:fofType)=> ((ap (c_2Ebool_2E_21 A_27a)) ((lam A_27a) (fun (V2y:fofType)=> ((ap ((ap c_2Emin_2E_3D_3D_3E) ((ap ((ap c_2Ebool_2E_2F_5C) ((ap V0P) V1x))) ((ap V0P) V2y)))) ((ap ((ap (c_2Emin_2E_3D A_27a)) V1x)) V2y))))))))))))) of role axiom named ax_thm_2Ebool_2EEXISTS__UNIQUE__DEF
% 0.51/0.70 A new axiom: (forall (A_27a:del), (((eq fofType) (c_2Ebool_2E_3F_21 A_27a)) ((lam ((arr A_27a) bool)) (fun (V0P:fofType)=> ((ap ((ap c_2Ebool_2E_2F_5C) ((ap (c_2Ebool_2E_3F A_27a)) V0P))) ((ap (c_2Ebool_2E_21 A_27a)) ((lam A_27a) (fun (V1x:fofType)=> ((ap (c_2Ebool_2E_21 A_27a)) ((lam A_27a) (fun (V2y:fofType)=> ((ap ((ap c_2Emin_2E_3D_3D_3E) ((ap ((ap c_2Ebool_2E_2F_5C) ((ap V0P) V1x))) ((ap V0P) V2y)))) ((ap ((ap (c_2Emin_2E_3D A_27a)) V1x)) V2y)))))))))))))
% 0.51/0.70 FOF formula (forall (A_27a:del) (A_27b:del) (V0t:fofType), (((mem V0t) ((arr A_27a) A_27b))->(((eq fofType) ((lam A_27a) (fun (V1x:fofType)=> ((ap V0t) V1x)))) V0t))) of role axiom named ax_thm_2Ebool_2EETA__AX
% 0.51/0.72 A new axiom: (forall (A_27a:del) (A_27b:del) (V0t:fofType), (((mem V0t) ((arr A_27a) A_27b))->(((eq fofType) ((lam A_27a) (fun (V1x:fofType)=> ((ap V0t) V1x)))) V0t)))
% 0.51/0.72 FOF formula True of role axiom named conj_thm_2Ebool_2ETRUTH
% 0.51/0.72 A new axiom: True
% 0.51/0.72 FOF formula (forall (V0t1:fofType), (((mem V0t1) bool)->(forall (V1t2:fofType), (((mem V1t2) bool)->(((p V0t1)->(p V1t2))->(((p V1t2)->(p V0t1))->((iff (p V0t1)) (p V1t2)))))))) of role axiom named conj_thm_2Ebool_2EIMP__ANTISYM__AX
% 0.51/0.72 A new axiom: (forall (V0t1:fofType), (((mem V0t1) bool)->(forall (V1t2:fofType), (((mem V1t2) bool)->(((p V0t1)->(p V1t2))->(((p V1t2)->(p V0t1))->((iff (p V0t1)) (p V1t2))))))))
% 0.51/0.72 FOF formula (forall (V0t:fofType), (((mem V0t) bool)->(False->(p V0t)))) of role axiom named conj_thm_2Ebool_2EFALSITY
% 0.51/0.72 A new axiom: (forall (V0t:fofType), (((mem V0t) bool)->(False->(p V0t))))
% 0.51/0.72 FOF formula (forall (V0t:fofType), (((mem V0t) bool)->((or (p V0t)) ((p V0t)->False)))) of role axiom named conj_thm_2Ebool_2EEXCLUDED__MIDDLE
% 0.51/0.72 A new axiom: (forall (V0t:fofType), (((mem V0t) bool)->((or (p V0t)) ((p V0t)->False))))
% 0.51/0.72 FOF formula (forall (A_27a:del) (A_27b:del) (V0t1:fofType), (((mem V0t1) A_27a)->(forall (V1t2:fofType), (((mem V1t2) A_27b)->(((eq fofType) ((ap ((lam A_27b) (fun (V2x:fofType)=> V0t1))) V1t2)) V0t1))))) of role axiom named conj_thm_2Ebool_2EABS__SIMP
% 0.51/0.72 A new axiom: (forall (A_27a:del) (A_27b:del) (V0t1:fofType), (((mem V0t1) A_27a)->(forall (V1t2:fofType), (((mem V1t2) A_27b)->(((eq fofType) ((ap ((lam A_27b) (fun (V2x:fofType)=> V0t1))) V1t2)) V0t1)))))
% 0.51/0.72 FOF formula (forall (A_27a:del) (V0t:fofType), (((mem V0t) bool)->((iff (forall (V1x:fofType), (((mem V1x) A_27a)->(p V0t)))) (p V0t)))) of role axiom named conj_thm_2Ebool_2EFORALL__SIMP
% 0.51/0.72 A new axiom: (forall (A_27a:del) (V0t:fofType), (((mem V0t) bool)->((iff (forall (V1x:fofType), (((mem V1x) A_27a)->(p V0t)))) (p V0t))))
% 0.51/0.72 FOF formula (forall (V0t:fofType), (((mem V0t) bool)->((and ((and ((and ((and ((iff ((and True) (p V0t))) (p V0t))) ((iff ((and (p V0t)) True)) (p V0t)))) ((iff ((and False) (p V0t))) False))) ((iff ((and (p V0t)) False)) False))) ((iff ((and (p V0t)) (p V0t))) (p V0t))))) of role axiom named conj_thm_2Ebool_2EAND__CLAUSES
% 0.51/0.72 A new axiom: (forall (V0t:fofType), (((mem V0t) bool)->((and ((and ((and ((and ((iff ((and True) (p V0t))) (p V0t))) ((iff ((and (p V0t)) True)) (p V0t)))) ((iff ((and False) (p V0t))) False))) ((iff ((and (p V0t)) False)) False))) ((iff ((and (p V0t)) (p V0t))) (p V0t)))))
% 0.51/0.72 FOF formula (forall (V0t:fofType), (((mem V0t) bool)->((and ((and ((and ((and ((iff (True->(p V0t))) (p V0t))) ((iff ((p V0t)->True)) True))) ((iff (False->(p V0t))) True))) ((iff ((p V0t)->(p V0t))) True))) ((iff ((p V0t)->False)) ((p V0t)->False))))) of role axiom named conj_thm_2Ebool_2EIMP__CLAUSES
% 0.51/0.72 A new axiom: (forall (V0t:fofType), (((mem V0t) bool)->((and ((and ((and ((and ((iff (True->(p V0t))) (p V0t))) ((iff ((p V0t)->True)) True))) ((iff (False->(p V0t))) True))) ((iff ((p V0t)->(p V0t))) True))) ((iff ((p V0t)->False)) ((p V0t)->False)))))
% 0.51/0.72 <<<l_2ENOT__CLAUSES,axiom,
% 0.51/0.72 ( ! [V0t: $i] :
% 0.51/0.72 ( ( mem @ V0t @ bool )
% 0.51/0.72 => ( ~ ~>>>!!!<<< ( p @ V0t )
% 0.51/0.72 <=> ( p @ V0t ) ) )
% 0.51/0.72 & ( ~ $true
% 0.51/0.72 <=> $false )
% 0.51/0.72 & ( ~ $false>>>
% 0.51/0.72 statestack=[0, 2]
% 0.51/0.72 symstack=[$end, TPTP_file_post]
% 0.51/0.72 Unexpected exception Syntax error at '~':TILDE
% 0.51/0.72 Traceback (most recent call last):
% 0.51/0.72 File "CASC.py", line 79, in <module>
% 0.51/0.72 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.51/0.72 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.51/0.72 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.51/0.72 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.51/0.72 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.51/0.72 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.51/0.72 tok = self.errorfunc(errtoken)
% 0.51/0.72 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.51/0.72 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.51/0.72 TPTPparser.TPTPParsingError: Syntax error at '~':TILDE
%------------------------------------------------------------------------------