TSTP Solution File: ITP016^2 by cocATP---0.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : ITP016^2 : TPTP v7.5.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n021.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 13:23:45 EDT 2021

% Result   : Unknown 0.54s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12  % Problem  : ITP016^2 : TPTP v7.5.0. Bugfixed v7.5.0.
% 0.13/0.13  % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Fri Mar 19 01:02:42 EDT 2021
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.36  Python 2.7.5
% 0.43/0.63  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.43/0.63  Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/ITP001/ITP001^2.ax, trying next directory
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x1307fc8>, <kernel.Type object at 0x13077a0>) of role type named del_tp
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring del:Type
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x2b6dfe20ef38>, <kernel.Constant object at 0x1307c20>) of role type named bool
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring bool:del
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x1307cf8>, <kernel.Constant object at 0x1307c20>) of role type named ind
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring ind:del
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x1307fc8>, <kernel.DependentProduct object at 0x13071b8>) of role type named arr
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring arr:(del->(del->del))
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x1307170>, <kernel.DependentProduct object at 0x13071b8>) of role type named mem
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring mem:(fofType->(del->Prop))
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x1307cf8>, <kernel.DependentProduct object at 0x1307fc8>) of role type named ap
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring ap:(fofType->(fofType->fofType))
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x1307128>, <kernel.DependentProduct object at 0x1307ef0>) of role type named lam
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring lam:(del->((fofType->fofType)->fofType))
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x1307cb0>, <kernel.DependentProduct object at 0x13071b8>) of role type named p
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring p:(fofType->Prop)
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x1307fc8>, <kernel.DependentProduct object at 0x1307878>) of role type named stp_inj_o
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring inj__o:(Prop->fofType)
% 0.43/0.63  FOF formula (forall (X:Prop), (((eq Prop) (p (inj__o X))) X)) of role axiom named stp_inj_surj_o
% 0.43/0.63  A new axiom: (forall (X:Prop), (((eq Prop) (p (inj__o X))) X))
% 0.43/0.63  FOF formula (forall (X:Prop), ((mem (inj__o X)) bool)) of role axiom named stp_inj_mem_o
% 0.43/0.63  A new axiom: (forall (X:Prop), ((mem (inj__o X)) bool))
% 0.43/0.63  FOF formula (forall (X:fofType), (((mem X) bool)->(((eq fofType) X) (inj__o (p X))))) of role axiom named stp_iso_mem_o
% 0.43/0.63  A new axiom: (forall (X:fofType), (((mem X) bool)->(((eq fofType) X) (inj__o (p X)))))
% 0.43/0.63  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
% 0.43/0.63  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)))))
% 0.43/0.63  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
% 0.43/0.63  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))))
% 0.43/0.63  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
% 0.43/0.63  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))))))
% 0.43/0.63  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
% 0.43/0.63  A new axiom: (forall (A:del) (F:(fofType->fofType)) (X:fofType), (((mem X) A)->(((eq fofType) ((ap ((lam A) F)) X)) (F X))))
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x12e2ab8>, <kernel.Single object at 0x12e2a70>) of role type named tp_c_2Ebool_2ET
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring c_2Ebool_2ET:fofType
% 0.43/0.63  FOF formula ((mem c_2Ebool_2ET) bool) of role axiom named mem_c_2Ebool_2ET
% 0.43/0.63  A new axiom: ((mem c_2Ebool_2ET) bool)
% 0.43/0.63  FOF formula (p c_2Ebool_2ET) of role axiom named ax_true_p
% 0.43/0.63  A new axiom: (p c_2Ebool_2ET)
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x12e2a28>, <kernel.Constant object at 0x2b6dfe1f1950>) of role type named tp_ty_2Enum_2Enum
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring ty_2Enum_2Enum:del
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x12e2a28>, <kernel.Type object at 0x2b6dfe1f1368>) of role type named stp_ty_2Enum_2Enum
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring tp__ty_2Enum_2Enum:Type
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x2b6dfe1f1d40>, <kernel.DependentProduct object at 0x2b6dfe1f1440>) of role type named stp_inj_ty_2Enum_2Enum
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring inj__ty_2Enum_2Enum:(tp__ty_2Enum_2Enum->fofType)
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x2b6dfe1f1d88>, <kernel.DependentProduct object at 0x2b6dfe1f13f8>) of role type named stp_surj_ty_2Enum_2Enum
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring surj__ty_2Enum_2Enum:(fofType->tp__ty_2Enum_2Enum)
% 0.43/0.63  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
% 0.43/0.63  A new axiom: (forall (X:tp__ty_2Enum_2Enum), (((eq tp__ty_2Enum_2Enum) (surj__ty_2Enum_2Enum (inj__ty_2Enum_2Enum X))) X))
% 0.43/0.63  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
% 0.43/0.63  A new axiom: (forall (X:tp__ty_2Enum_2Enum), ((mem (inj__ty_2Enum_2Enum X)) ty_2Enum_2Enum))
% 0.43/0.63  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
% 0.43/0.63  A new axiom: (forall (X:fofType), (((mem X) ty_2Enum_2Enum)->(((eq fofType) X) (inj__ty_2Enum_2Enum (surj__ty_2Enum_2Enum X)))))
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x2b6dfe1f1560>, <kernel.Single object at 0x2b6dfe1f1ab8>) of role type named tp_c_2Enum_2ESUC
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring c_2Enum_2ESUC:fofType
% 0.43/0.63  FOF formula ((mem c_2Enum_2ESUC) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum)) of role axiom named mem_c_2Enum_2ESUC
% 0.43/0.63  A new axiom: ((mem c_2Enum_2ESUC) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum))
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x2b6dfe1f13f8>, <kernel.DependentProduct object at 0x2b6dfe1f1ef0>) of role type named stp_fo_c_2Enum_2ESUC
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring fo__c_2Enum_2ESUC:(tp__ty_2Enum_2Enum->tp__ty_2Enum_2Enum)
% 0.43/0.63  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
% 0.43/0.63  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))))
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x12ffd40>, <kernel.Single object at 0x2b6dfe1f1200>) of role type named tp_c_2Earithmetic_2EZERO
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring c_2Earithmetic_2EZERO:fofType
% 0.43/0.63  FOF formula ((mem c_2Earithmetic_2EZERO) ty_2Enum_2Enum) of role axiom named mem_c_2Earithmetic_2EZERO
% 0.43/0.63  A new axiom: ((mem c_2Earithmetic_2EZERO) ty_2Enum_2Enum)
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x2b6dfe1f1ea8>, <kernel.Constant object at 0x2b6dfe1f1248>) of role type named stp_fo_c_2Earithmetic_2EZERO
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring fo__c_2Earithmetic_2EZERO:tp__ty_2Enum_2Enum
% 0.43/0.63  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
% 0.43/0.63  A new axiom: (((eq fofType) (inj__ty_2Enum_2Enum fo__c_2Earithmetic_2EZERO)) c_2Earithmetic_2EZERO)
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x2b6dfe1f1ea8>, <kernel.Single object at 0x2b6dfe1f1368>) of role type named tp_c_2Earithmetic_2EBIT1
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring c_2Earithmetic_2EBIT1:fofType
% 0.43/0.63  FOF formula ((mem c_2Earithmetic_2EBIT1) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum)) of role axiom named mem_c_2Earithmetic_2EBIT1
% 0.43/0.63  A new axiom: ((mem c_2Earithmetic_2EBIT1) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum))
% 0.43/0.63  FOF formula (<kernel.Constant object at 0x2b6dfe1f1248>, <kernel.DependentProduct object at 0x2b6dfe1eacf8>) of role type named stp_fo_c_2Earithmetic_2EBIT1
% 0.43/0.63  Using role type
% 0.43/0.63  Declaring fo__c_2Earithmetic_2EBIT1:(tp__ty_2Enum_2Enum->tp__ty_2Enum_2Enum)
% 0.43/0.63  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
% 0.48/0.64  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))))
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x2b6dfe1f1ea8>, <kernel.Single object at 0x2b6dfe1f1200>) of role type named tp_c_2Earithmetic_2ENUMERAL
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring c_2Earithmetic_2ENUMERAL:fofType
% 0.48/0.64  FOF formula ((mem c_2Earithmetic_2ENUMERAL) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum)) of role axiom named mem_c_2Earithmetic_2ENUMERAL
% 0.48/0.64  A new axiom: ((mem c_2Earithmetic_2ENUMERAL) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum))
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x13040e0>, <kernel.DependentProduct object at 0x1307f80>) of role type named stp_fo_c_2Earithmetic_2ENUMERAL
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring fo__c_2Earithmetic_2ENUMERAL:(tp__ty_2Enum_2Enum->tp__ty_2Enum_2Enum)
% 0.48/0.64  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
% 0.48/0.64  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))))
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x2b6dfe1eae60>, <kernel.Single object at 0x1304ea8>) of role type named tp_c_2Earithmetic_2E_3C_3D
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring c_2Earithmetic_2E_3C_3D:fofType
% 0.48/0.64  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
% 0.48/0.64  A new axiom: ((mem c_2Earithmetic_2E_3C_3D) ((arr ty_2Enum_2Enum) ((arr ty_2Enum_2Enum) bool)))
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x1304ea8>, <kernel.Single object at 0x13043f8>) of role type named tp_c_2Earithmetic_2E_2B
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring c_2Earithmetic_2E_2B:fofType
% 0.48/0.64  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
% 0.48/0.64  A new axiom: ((mem c_2Earithmetic_2E_2B) ((arr ty_2Enum_2Enum) ((arr ty_2Enum_2Enum) ty_2Enum_2Enum)))
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x13043f8>, <kernel.DependentProduct object at 0x1307b90>) of role type named stp_fo_c_2Earithmetic_2E_2B
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring fo__c_2Earithmetic_2E_2B:(tp__ty_2Enum_2Enum->(tp__ty_2Enum_2Enum->tp__ty_2Enum_2Enum))
% 0.48/0.64  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
% 0.48/0.64  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))))
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x13077a0>, <kernel.Constant object at 0x13070e0>) of role type named tp_ty_2Erealax_2Ereal
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring ty_2Erealax_2Ereal:del
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x1307c68>, <kernel.Type object at 0x1307908>) of role type named stp_ty_2Erealax_2Ereal
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring tp__ty_2Erealax_2Ereal:Type
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x1307cf8>, <kernel.DependentProduct object at 0x1307cb0>) of role type named stp_inj_ty_2Erealax_2Ereal
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring inj__ty_2Erealax_2Ereal:(tp__ty_2Erealax_2Ereal->fofType)
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x1307950>, <kernel.DependentProduct object at 0x1307e60>) of role type named stp_surj_ty_2Erealax_2Ereal
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring surj__ty_2Erealax_2Ereal:(fofType->tp__ty_2Erealax_2Ereal)
% 0.48/0.64  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
% 0.48/0.64  A new axiom: (forall (X:tp__ty_2Erealax_2Ereal), (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal X))) X))
% 0.48/0.65  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
% 0.48/0.65  A new axiom: (forall (X:tp__ty_2Erealax_2Ereal), ((mem (inj__ty_2Erealax_2Ereal X)) ty_2Erealax_2Ereal))
% 0.48/0.65  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
% 0.48/0.65  A new axiom: (forall (X:fofType), (((mem X) ty_2Erealax_2Ereal)->(((eq fofType) X) (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal X)))))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0x1307f38>, <kernel.Single object at 0x1307170>) of role type named tp_c_2Ereal_2E_2F
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring c_2Ereal_2E_2F:fofType
% 0.48/0.65  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
% 0.48/0.65  A new axiom: ((mem c_2Ereal_2E_2F) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal)))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0x1307908>, <kernel.DependentProduct object at 0x13075f0>) of role type named stp_fo_c_2Ereal_2E_2F
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring fo__c_2Ereal_2E_2F:(tp__ty_2Erealax_2Ereal->(tp__ty_2Erealax_2Ereal->tp__ty_2Erealax_2Ereal))
% 0.48/0.65  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
% 0.48/0.65  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))))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0x13074d0>, <kernel.Single object at 0x1307c20>) of role type named tp_c_2Ereal_2Ereal__sub
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring c_2Ereal_2Ereal__sub:fofType
% 0.48/0.65  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
% 0.48/0.65  A new axiom: ((mem c_2Ereal_2Ereal__sub) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal)))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0x1307f38>, <kernel.DependentProduct object at 0x1307908>) of role type named stp_fo_c_2Ereal_2Ereal__sub
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring fo__c_2Ereal_2Ereal__sub:(tp__ty_2Erealax_2Ereal->(tp__ty_2Erealax_2Ereal->tp__ty_2Erealax_2Ereal))
% 0.48/0.65  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
% 0.48/0.65  A new axiom: (forall (X0:tp__ty_2Erealax_2Ereal) (X1:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal ((fo__c_2Ereal_2Ereal__sub X0) X1))) ((ap ((ap c_2Ereal_2Ereal__sub) (inj__ty_2Erealax_2Ereal X0))) (inj__ty_2Erealax_2Ereal X1))))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0x1307290>, <kernel.Single object at 0x1307c68>) of role type named tp_c_2Enum_2E0
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring c_2Enum_2E0:fofType
% 0.48/0.65  FOF formula ((mem c_2Enum_2E0) ty_2Enum_2Enum) of role axiom named mem_c_2Enum_2E0
% 0.48/0.65  A new axiom: ((mem c_2Enum_2E0) ty_2Enum_2Enum)
% 0.48/0.65  FOF formula (<kernel.Constant object at 0x1307c20>, <kernel.Constant object at 0x1307c68>) of role type named stp_fo_c_2Enum_2E0
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring fo__c_2Enum_2E0:tp__ty_2Enum_2Enum
% 0.48/0.65  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
% 0.48/0.65  A new axiom: (((eq fofType) (inj__ty_2Enum_2Enum fo__c_2Enum_2E0)) c_2Enum_2E0)
% 0.48/0.65  FOF formula (<kernel.Constant object at 0x1307368>, <kernel.Single object at 0x1307248>) of role type named tp_c_2Ereal_2Esup
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring c_2Ereal_2Esup:fofType
% 0.48/0.65  FOF formula ((mem c_2Ereal_2Esup) ((arr ((arr ty_2Erealax_2Ereal) bool)) ty_2Erealax_2Ereal)) of role axiom named mem_c_2Ereal_2Esup
% 0.48/0.65  A new axiom: ((mem c_2Ereal_2Esup) ((arr ((arr ty_2Erealax_2Ereal) bool)) ty_2Erealax_2Ereal))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0x1307128>, <kernel.Single object at 0x1307f38>) of role type named tp_c_2Erealax_2Ereal__neg
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring c_2Erealax_2Ereal__neg:fofType
% 0.48/0.65  FOF formula ((mem c_2Erealax_2Ereal__neg) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal)) of role axiom named mem_c_2Erealax_2Ereal__neg
% 0.48/0.65  A new axiom: ((mem c_2Erealax_2Ereal__neg) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0x13075f0>, <kernel.DependentProduct object at 0x1302a28>) of role type named stp_fo_c_2Erealax_2Ereal__neg
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring fo__c_2Erealax_2Ereal__neg:(tp__ty_2Erealax_2Ereal->tp__ty_2Erealax_2Ereal)
% 0.48/0.65  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
% 0.48/0.65  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))))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0x13078c0>, <kernel.Single object at 0x1307c20>) of role type named tp_c_2Ereal_2Ereal__lte
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring c_2Ereal_2Ereal__lte:fofType
% 0.48/0.65  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
% 0.48/0.65  A new axiom: ((mem c_2Ereal_2Ereal__lte) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) bool)))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0x1307c20>, <kernel.Single object at 0x1307368>) of role type named tp_c_2Erealax_2Ereal__add
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring c_2Erealax_2Ereal__add:fofType
% 0.48/0.65  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
% 0.48/0.65  A new axiom: ((mem c_2Erealax_2Ereal__add) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal)))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0x13075f0>, <kernel.DependentProduct object at 0x1302a28>) of role type named stp_fo_c_2Erealax_2Ereal__add
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring fo__c_2Erealax_2Ereal__add:(tp__ty_2Erealax_2Ereal->(tp__ty_2Erealax_2Ereal->tp__ty_2Erealax_2Ereal))
% 0.48/0.65  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
% 0.48/0.65  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))))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0x1302098>, <kernel.Single object at 0x13023f8>) of role type named tp_c_2Erealax_2Ereal__mul
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring c_2Erealax_2Ereal__mul:fofType
% 0.48/0.65  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
% 0.48/0.65  A new axiom: ((mem c_2Erealax_2Ereal__mul) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal)))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0x1302fc8>, <kernel.DependentProduct object at 0x1302488>) of role type named stp_fo_c_2Erealax_2Ereal__mul
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring fo__c_2Erealax_2Ereal__mul:(tp__ty_2Erealax_2Ereal->(tp__ty_2Erealax_2Ereal->tp__ty_2Erealax_2Ereal))
% 0.48/0.65  FOF formula (forall (X0:tp__ty_2Erealax_2Ereal) (X1:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal ((fo__c_2Erealax_2Ereal__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
% 0.48/0.65  A new axiom: (forall (X0:tp__ty_2Erealax_2Ereal) (X1:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal ((fo__c_2Erealax_2Ereal__mul X0) X1))) ((ap ((ap c_2Erealax_2Ereal__mul) (inj__ty_2Erealax_2Ereal X0))) (inj__ty_2Erealax_2Ereal X1))))
% 0.48/0.66  FOF formula (<kernel.Constant object at 0x1302ab8>, <kernel.Single object at 0x13022d8>) of role type named tp_c_2Ereal_2Ereal__of__num
% 0.48/0.66  Using role type
% 0.48/0.66  Declaring c_2Ereal_2Ereal__of__num:fofType
% 0.48/0.66  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
% 0.48/0.66  A new axiom: ((mem c_2Ereal_2Ereal__of__num) ((arr ty_2Enum_2Enum) ty_2Erealax_2Ereal))
% 0.48/0.66  FOF formula (<kernel.Constant object at 0x1302cf8>, <kernel.DependentProduct object at 0x147b098>) of role type named stp_fo_c_2Ereal_2Ereal__of__num
% 0.48/0.66  Using role type
% 0.48/0.66  Declaring fo__c_2Ereal_2Ereal__of__num:(tp__ty_2Enum_2Enum->tp__ty_2Erealax_2Ereal)
% 0.48/0.66  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
% 0.48/0.66  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))))
% 0.48/0.66  FOF formula (<kernel.Constant object at 0x13021b8>, <kernel.Single object at 0x1302f38>) of role type named tp_c_2Erealax_2Ereal__lt
% 0.48/0.66  Using role type
% 0.48/0.66  Declaring c_2Erealax_2Ereal__lt:fofType
% 0.48/0.66  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
% 0.48/0.66  A new axiom: ((mem c_2Erealax_2Ereal__lt) ((arr ty_2Erealax_2Ereal) ((arr ty_2Erealax_2Ereal) bool)))
% 0.48/0.66  FOF formula (<kernel.Constant object at 0x13021b8>, <kernel.Single object at 0x13022d8>) of role type named tp_c_2Ebool_2EF
% 0.48/0.66  Using role type
% 0.48/0.66  Declaring c_2Ebool_2EF:fofType
% 0.48/0.66  FOF formula ((mem c_2Ebool_2EF) bool) of role axiom named mem_c_2Ebool_2EF
% 0.48/0.66  A new axiom: ((mem c_2Ebool_2EF) bool)
% 0.48/0.66  FOF formula ((p c_2Ebool_2EF)->False) of role axiom named ax_false_p
% 0.48/0.66  A new axiom: ((p c_2Ebool_2EF)->False)
% 0.48/0.66  FOF formula (<kernel.Constant object at 0x1302f38>, <kernel.Single object at 0x147b0e0>) of role type named tp_c_2Ebool_2E_5C_2F
% 0.48/0.66  Using role type
% 0.48/0.66  Declaring c_2Ebool_2E_5C_2F:fofType
% 0.48/0.66  FOF formula ((mem c_2Ebool_2E_5C_2F) ((arr bool) ((arr bool) bool))) of role axiom named mem_c_2Ebool_2E_5C_2F
% 0.48/0.66  A new axiom: ((mem c_2Ebool_2E_5C_2F) ((arr bool) ((arr bool) bool)))
% 0.48/0.66  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
% 0.48/0.66  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)))))))
% 0.48/0.66  FOF formula (<kernel.Constant object at 0x147b2d8>, <kernel.DependentProduct object at 0x147b3f8>) of role type named tp_c_2Emin_2E_3D
% 0.48/0.66  Using role type
% 0.48/0.66  Declaring c_2Emin_2E_3D:(del->fofType)
% 0.48/0.66  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
% 0.48/0.66  A new axiom: (forall (A_27a:del), ((mem (c_2Emin_2E_3D A_27a)) ((arr A_27a) ((arr A_27a) bool))))
% 0.48/0.66  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
% 0.48/0.66  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))))))
% 0.48/0.66  FOF formula (<kernel.Constant object at 0x147b488>, <kernel.Single object at 0x147b518>) of role type named tp_c_2Ebool_2E_7E
% 0.48/0.66  Using role type
% 0.48/0.66  Declaring c_2Ebool_2E_7E:fofType
% 0.48/0.66  FOF formula ((mem c_2Ebool_2E_7E) ((arr bool) bool)) of role axiom named mem_c_2Ebool_2E_7E
% 0.48/0.66  A new axiom: ((mem c_2Ebool_2E_7E) ((arr bool) bool))
% 0.48/0.66  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
% 0.48/0.66  A new axiom: (forall (Q:fofType), (((mem Q) bool)->((iff (p ((ap c_2Ebool_2E_7E) Q))) ((p Q)->False))))
% 0.48/0.68  FOF formula (<kernel.Constant object at 0x147b368>, <kernel.Single object at 0x147b128>) of role type named tp_c_2Eprim__rec_2E_3C
% 0.48/0.68  Using role type
% 0.48/0.68  Declaring c_2Eprim__rec_2E_3C:fofType
% 0.48/0.68  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
% 0.48/0.68  A new axiom: ((mem c_2Eprim__rec_2E_3C) ((arr ty_2Enum_2Enum) ((arr ty_2Enum_2Enum) bool)))
% 0.48/0.68  FOF formula (<kernel.Constant object at 0x147b560>, <kernel.Single object at 0x147b098>) of role type named tp_c_2Ewhile_2ELEAST
% 0.48/0.68  Using role type
% 0.48/0.68  Declaring c_2Ewhile_2ELEAST:fofType
% 0.48/0.68  FOF formula ((mem c_2Ewhile_2ELEAST) ((arr ((arr ty_2Enum_2Enum) bool)) ty_2Enum_2Enum)) of role axiom named mem_c_2Ewhile_2ELEAST
% 0.48/0.68  A new axiom: ((mem c_2Ewhile_2ELEAST) ((arr ((arr ty_2Enum_2Enum) bool)) ty_2Enum_2Enum))
% 0.48/0.68  FOF formula (<kernel.Constant object at 0x147b128>, <kernel.Single object at 0x147b200>) of role type named tp_c_2Ebool_2E_2F_5C
% 0.48/0.68  Using role type
% 0.48/0.68  Declaring c_2Ebool_2E_2F_5C:fofType
% 0.48/0.68  FOF formula ((mem c_2Ebool_2E_2F_5C) ((arr bool) ((arr bool) bool))) of role axiom named mem_c_2Ebool_2E_2F_5C
% 0.48/0.68  A new axiom: ((mem c_2Ebool_2E_2F_5C) ((arr bool) ((arr bool) bool)))
% 0.48/0.68  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
% 0.48/0.68  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)))))))
% 0.48/0.68  FOF formula (<kernel.Constant object at 0x147b0e0>, <kernel.DependentProduct object at 0x147bab8>) of role type named tp_c_2Ebool_2E_3F
% 0.48/0.68  Using role type
% 0.48/0.68  Declaring c_2Ebool_2E_3F:(del->fofType)
% 0.48/0.68  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
% 0.48/0.68  A new axiom: (forall (A_27a:del), ((mem (c_2Ebool_2E_3F A_27a)) ((arr ((arr A_27a) bool)) bool)))
% 0.48/0.68  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
% 0.48/0.68  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))))))))
% 0.48/0.68  FOF formula (<kernel.Constant object at 0x147b560>, <kernel.Single object at 0x147b7e8>) of role type named tp_c_2Emin_2E_3D_3D_3E
% 0.48/0.68  Using role type
% 0.48/0.68  Declaring c_2Emin_2E_3D_3D_3E:fofType
% 0.48/0.68  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
% 0.48/0.68  A new axiom: ((mem c_2Emin_2E_3D_3D_3E) ((arr bool) ((arr bool) bool)))
% 0.48/0.68  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
% 0.48/0.68  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)))))))
% 0.48/0.68  FOF formula (<kernel.Constant object at 0x147bc20>, <kernel.DependentProduct object at 0x147b638>) of role type named tp_c_2Ebool_2E_21
% 0.48/0.68  Using role type
% 0.48/0.68  Declaring c_2Ebool_2E_21:(del->fofType)
% 0.48/0.68  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
% 0.48/0.68  A new axiom: (forall (A_27a:del), ((mem (c_2Ebool_2E_21 A_27a)) ((arr ((arr A_27a) bool)) bool)))
% 0.48/0.68  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
% 0.48/0.68  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)))))))
% 0.48/0.68  FOF formula (forall (V0m:tp__ty_2Enum_2Enum), ((or (((eq tp__ty_2Enum_2Enum) V0m) fo__c_2Enum_2E0)) ((ex tp__ty_2Enum_2Enum) (fun (V1n:tp__ty_2Enum_2Enum)=> (((eq tp__ty_2Enum_2Enum) V0m) (surj__ty_2Enum_2Enum ((ap c_2Enum_2ESUC) (inj__ty_2Enum_2Enum V1n)))))))) of role axiom named conj_thm_2Earithmetic_2Enum__CASES
% 0.48/0.69  A new axiom: (forall (V0m:tp__ty_2Enum_2Enum), ((or (((eq tp__ty_2Enum_2Enum) V0m) fo__c_2Enum_2E0)) ((ex tp__ty_2Enum_2Enum) (fun (V1n:tp__ty_2Enum_2Enum)=> (((eq tp__ty_2Enum_2Enum) V0m) (surj__ty_2Enum_2Enum ((ap c_2Enum_2ESUC) (inj__ty_2Enum_2Enum V1n))))))))
% 0.48/0.69  FOF formula (forall (V0m:tp__ty_2Enum_2Enum), (p ((ap ((ap c_2Earithmetic_2E_3C_3D) (inj__ty_2Enum_2Enum V0m))) ((ap c_2Enum_2ESUC) (inj__ty_2Enum_2Enum V0m))))) of role axiom named conj_thm_2Earithmetic_2ELESS__EQ__SUC__REFL
% 0.48/0.69  A new axiom: (forall (V0m:tp__ty_2Enum_2Enum), (p ((ap ((ap c_2Earithmetic_2E_3C_3D) (inj__ty_2Enum_2Enum V0m))) ((ap c_2Enum_2ESUC) (inj__ty_2Enum_2Enum V0m)))))
% 0.48/0.69  FOF formula (forall (V0m:tp__ty_2Enum_2Enum), (((eq tp__ty_2Enum_2Enum) (surj__ty_2Enum_2Enum ((ap c_2Enum_2ESUC) (inj__ty_2Enum_2Enum V0m)))) (surj__ty_2Enum_2Enum ((ap ((ap c_2Earithmetic_2E_2B) (inj__ty_2Enum_2Enum V0m))) ((ap c_2Earithmetic_2ENUMERAL) ((ap c_2Earithmetic_2EBIT1) (inj__ty_2Enum_2Enum fo__c_2Earithmetic_2EZERO))))))) of role axiom named conj_thm_2Earithmetic_2EADD1
% 0.48/0.69  A new axiom: (forall (V0m:tp__ty_2Enum_2Enum), (((eq tp__ty_2Enum_2Enum) (surj__ty_2Enum_2Enum ((ap c_2Enum_2ESUC) (inj__ty_2Enum_2Enum V0m)))) (surj__ty_2Enum_2Enum ((ap ((ap c_2Earithmetic_2E_2B) (inj__ty_2Enum_2Enum V0m))) ((ap c_2Earithmetic_2ENUMERAL) ((ap c_2Earithmetic_2EBIT1) (inj__ty_2Enum_2Enum fo__c_2Earithmetic_2EZERO)))))))
% 0.48/0.69  FOF formula (forall (V0t:fofType), (((mem V0t) bool)->((or ((iff (p V0t)) True)) ((iff (p V0t)) False)))) of role axiom named ax_thm_2Ebool_2EBOOL__CASES__AX
% 0.48/0.69  A new axiom: (forall (V0t:fofType), (((mem V0t) bool)->((or ((iff (p V0t)) True)) ((iff (p V0t)) False))))
% 0.48/0.69  FOF formula True of role axiom named conj_thm_2Ebool_2ETRUTH
% 0.48/0.69  A new axiom: True
% 0.48/0.69  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
% 0.48/0.69  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))))))))
% 0.48/0.69  FOF formula (forall (V0t:fofType), (((mem V0t) bool)->(False->(p V0t)))) of role axiom named conj_thm_2Ebool_2EFALSITY
% 0.48/0.69  A new axiom: (forall (V0t:fofType), (((mem V0t) bool)->(False->(p V0t))))
% 0.48/0.69  FOF formula (forall (V0t:fofType), (((mem V0t) bool)->((or (p V0t)) ((p V0t)->False)))) of role axiom named conj_thm_2Ebool_2EEXCLUDED__MIDDLE
% 0.48/0.69  A new axiom: (forall (V0t:fofType), (((mem V0t) bool)->((or (p V0t)) ((p V0t)->False))))
% 0.48/0.69  FOF formula (forall (V0t:fofType), (((mem V0t) bool)->(((p V0t)->False)->((p V0t)->False)))) of role axiom named conj_thm_2Ebool_2EIMP__F
% 0.48/0.69  A new axiom: (forall (V0t:fofType), (((mem V0t) bool)->(((p V0t)->False)->((p V0t)->False))))
% 0.48/0.69  FOF formula (forall (V0t:fofType), (((mem V0t) bool)->(((p V0t)->False)->((p V0t)->False)))) of role axiom named conj_thm_2Ebool_2EF__IMP
% 0.48/0.69  A new axiom: (forall (V0t:fofType), (((mem V0t) bool)->(((p V0t)->False)->((p V0t)->False))))
% 0.48/0.69  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
% 0.48/0.69  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)))))
% 0.48/0.69  FOF formula (forall (V0t:fofType), (((mem V0t) bool)->((and ((and ((and ((and ((iff ((or True) (p V0t))) True)) ((iff ((or (p V0t)) True)) True))) ((iff ((or False) (p V0t))) (p V0t)))) ((iff ((or (p V0t)) False)) (p V0t)))) ((iff ((or (p V0t)) (p V0t))) (p V0t))))) of role axiom named conj_thm_2Ebool_2EOR__CLAUSES
% 0.48/0.69  A new axiom: (forall (V0t:fofType), (((mem V0t) bool)->((and ((and ((and ((and ((iff ((or True) (p V0t))) True)) ((iff ((or (p V0t)) True)) True))) ((iff ((or False) (p V0t))) (p V0t)))) ((iff ((or (p V0t)) False)) (p V0t)))) ((iff ((or (p V0t)) (p V0t))) (p V0t)))))
% 0.48/0.69  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
% 0.48/0.69  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)))))
% 0.48/0.69  <<<l_2ENOT__CLAUSES,axiom,
% 0.48/0.69      ( ! [V0t: $i] :
% 0.48/0.69          ( ( mem @ V0t @ bool )
% 0.48/0.69         => ( ~ ~>>>!!!<<< ( p @ V0t )
% 0.48/0.69          <=> ( p @ V0t ) ) )
% 0.48/0.69      & ( ~ $true
% 0.48/0.69      <=> $false )
% 0.48/0.69      & ( ~ $false>>>
% 0.48/0.69  statestack=[0, 2]
% 0.48/0.69  symstack=[$end, TPTP_file_post]
% 0.48/0.69  Unexpected exception Syntax error at '~':TILDE
% 0.48/0.69  Traceback (most recent call last):
% 0.48/0.69    File "CASC.py", line 79, in <module>
% 0.48/0.69      problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.48/0.69    File "/export/starexec/sandbox/solver/bin/TPTP.py", line 38, in __init__
% 0.48/0.69      parser.parse(file.read(),debug=0,lexer=lexer)
% 0.48/0.69    File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 265, in parse
% 0.48/0.69      return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.48/0.69    File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.48/0.69      tok = self.errorfunc(errtoken)
% 0.48/0.69    File "/export/starexec/sandbox/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.48/0.69      raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.48/0.69  TPTPparser.TPTPParsingError: Syntax error at '~':TILDE
%------------------------------------------------------------------------------