TSTP Solution File: SYN364^5 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYN364^5 : TPTP v6.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n187.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.20.3.el6.x86_64
% CPULimit : 300s
% DateTime : Thu Jul 17 13:38:16 EDT 2014
% Result : Timeout 300.10s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : SYN364^5 : TPTP v6.1.0. Released v4.0.0.
% % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n187.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.20.3.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jul 17 09:27:21 CDT 2014
% % CPUTime: 300.10
% Python 2.7.5
% Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% FOF formula (<kernel.Constant object at 0x156b560>, <kernel.DependentProduct object at 0x156b4d0>) of role type named cP
% Using role type
% Declaring cP:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x19a4050>, <kernel.DependentProduct object at 0x156b3f8>) of role type named g
% Using role type
% Declaring g:(fofType->fofType)
% FOF formula (<kernel.Constant object at 0x156bdd0>, <kernel.DependentProduct object at 0x156b4d0>) of role type named cM
% Using role type
% Declaring cM:(fofType->Prop)
% FOF formula (<kernel.Constant object at 0x156ba28>, <kernel.DependentProduct object at 0x156b320>) of role type named cQ
% Using role type
% Declaring cQ:(fofType->Prop)
% FOF formula (<kernel.Constant object at 0x156bf80>, <kernel.DependentProduct object at 0x156bdd0>) of role type named f
% Using role type
% Declaring f:(fofType->(fofType->fofType))
% FOF formula (((and ((and (forall (Xx:fofType), (((ex fofType) (fun (Xy:fofType)=> ((cP Xx) Xy)))->(forall (Xz:fofType), ((cP Xz) Xz))))) (forall (Xu:fofType), ((ex fofType) (fun (Xv:fofType)=> ((or ((cP Xu) Xv)) ((and (cM Xu)) (cQ ((f Xu) Xv))))))))) (forall (Xw:fofType), ((cQ Xw)->((cM (g Xw))->False))))->(forall (Xu:fofType), ((ex fofType) (fun (Xv:fofType)=> ((and ((cP (g Xu)) Xv)) ((cP Xu) Xu)))))) of role conjecture named cX2115
% Conjecture to prove = (((and ((and (forall (Xx:fofType), (((ex fofType) (fun (Xy:fofType)=> ((cP Xx) Xy)))->(forall (Xz:fofType), ((cP Xz) Xz))))) (forall (Xu:fofType), ((ex fofType) (fun (Xv:fofType)=> ((or ((cP Xu) Xv)) ((and (cM Xu)) (cQ ((f Xu) Xv))))))))) (forall (Xw:fofType), ((cQ Xw)->((cM (g Xw))->False))))->(forall (Xu:fofType), ((ex fofType) (fun (Xv:fofType)=> ((and ((cP (g Xu)) Xv)) ((cP Xu) Xu)))))):Prop
% Parameter fofType_DUMMY:fofType.
% We need to prove ['(((and ((and (forall (Xx:fofType), (((ex fofType) (fun (Xy:fofType)=> ((cP Xx) Xy)))->(forall (Xz:fofType), ((cP Xz) Xz))))) (forall (Xu:fofType), ((ex fofType) (fun (Xv:fofType)=> ((or ((cP Xu) Xv)) ((and (cM Xu)) (cQ ((f Xu) Xv))))))))) (forall (Xw:fofType), ((cQ Xw)->((cM (g Xw))->False))))->(forall (Xu:fofType), ((ex fofType) (fun (Xv:fofType)=> ((and ((cP (g Xu)) Xv)) ((cP Xu) Xu))))))']
% Parameter fofType:Type.
% Parameter cP:(fofType->(fofType->Prop)).
% Parameter g:(fofType->fofType).
% Parameter cM:(fofType->Prop).
% Parameter cQ:(fofType->Prop).
% Parameter f:(fofType->(fofType->fofType)).
% Trying to prove (((and ((and (forall (Xx:fofType), (((ex fofType) (fun (Xy:fofType)=> ((cP Xx) Xy)))->(forall (Xz:fofType), ((cP Xz) Xz))))) (forall (Xu:fofType), ((ex fofType) (fun (Xv:fofType)=> ((or ((cP Xu) Xv)) ((and (cM Xu)) (cQ ((f Xu) Xv))))))))) (forall (Xw:fofType), ((cQ Xw)->((cM (g Xw))->False))))->(forall (Xu:fofType), ((ex fofType) (fun (Xv:fofType)=> ((and ((cP (g Xu)) Xv)) ((cP Xu) Xu))))))
% Found x7:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found x7 as proof of ((cP (g Xu)) x4)
% Found x7:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found x7 as proof of ((cP (g Xu)) x6)
% Found x7:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found x7 as proof of ((cP (g Xu)) x2)
% Found x7:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found x7 as proof of ((cP (g Xu)) x0)
% Found x7:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of ((cP (g Xu)) x4)
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of (((cP Xu0) x5)->((cP (g Xu)) x4))
% Found x7:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found (fun (x7:((cP Xu0) x4))=> x7) as proof of ((cP (g Xu)) x6)
% Found (fun (x7:((cP Xu0) x4))=> x7) as proof of (((cP Xu0) x4)->((cP (g Xu)) x6))
% Found x7:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found x7 as proof of ((cP (g Xu)) x4)
% Found x7:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found x7 as proof of ((cP (g Xu)) x6)
% Found x6:((cP Xu0) x4)
% Instantiate: Xu0:=(g Xu):fofType;x7:=x4:fofType
% Found x6 as proof of ((cP (g Xu)) x7)
% Found x7:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of ((cP (g Xu)) x2)
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of (((cP Xu0) x5)->((cP (g Xu)) x2))
% Found x7:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of ((cP (g Xu)) x0)
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of (((cP Xu0) x5)->((cP (g Xu)) x0))
% Found x7:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found x7 as proof of ((cP (g Xu)) x0)
% Found x7:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found x7 as proof of ((cP (g Xu)) x2)
% Found x7:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of ((cP (g Xu)) x4)
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of (((cP Xu0) x5)->((cP (g Xu)) x4))
% Found x7:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found (fun (x7:((cP Xu0) x4))=> x7) as proof of ((cP (g Xu)) x6)
% Found (fun (x7:((cP Xu0) x4))=> x7) as proof of (((cP Xu0) x4)->((cP (g Xu)) x6))
% Found x6:((cP Xu0) x4)
% Instantiate: Xu0:=(g Xu):fofType;x7:=x4:fofType
% Found x6 as proof of ((cP (g Xu)) x7)
% Found x7:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of ((cP (g Xu)) x2)
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of (((cP Xu0) x5)->((cP (g Xu)) x2))
% Found x7:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of ((cP (g Xu)) x0)
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of (((cP Xu0) x5)->((cP (g Xu)) x0))
% Found x7:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of ((cP (g Xu)) x4)
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of (((cP Xu0) x5)->((cP (g Xu)) x4))
% Found x7:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of ((cP (g Xu)) x0)
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of (((cP Xu0) x5)->((cP (g Xu)) x0))
% Found x7:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of ((cP (g Xu)) x2)
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of (((cP Xu0) x5)->((cP (g Xu)) x2))
% Found x7:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of ((cP (g Xu)) x4)
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of (((cP Xu0) x5)->((cP (g Xu)) x4))
% Found x7:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of ((cP (g Xu)) x0)
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of (((cP Xu0) x5)->((cP (g Xu)) x0))
% Found x7:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of ((cP (g Xu)) x2)
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of (((cP Xu0) x5)->((cP (g Xu)) x2))
% Found x7:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of ((cP (g Xu)) x0)
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of (((cP Xu0) x5)->((cP (g Xu)) x0))
% Found x7:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of ((cP (g Xu)) x2)
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of (((cP Xu0) x5)->((cP (g Xu)) x2))
% Found x7:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of ((cP (g Xu)) x2)
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of (((cP Xu0) x5)->((cP (g Xu)) x2))
% Found x7:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of ((cP (g Xu)) x0)
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of (((cP Xu0) x5)->((cP (g Xu)) x0))
% Found x7:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of ((cP (g Xu)) x0)
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of (((cP Xu0) x5)->((cP (g Xu)) x0))
% Found x7:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of ((cP (g Xu)) x0)
% Found (fun (x7:((cP Xu0) x5))=> x7) as proof of (((cP Xu0) x5)->((cP (g Xu)) x0))
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x7:fofType
% Found x9 as proof of ((cP (g Xu)) x6)
% Found x9:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x8:=x6:fofType
% Found x9 as proof of ((cP (g Xu)) x8)
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x7:fofType
% Found x9 as proof of ((cP (g Xu)) x4)
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x7:fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x6)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x6))
% Found x9:((cP Xu0) x4)
% Instantiate: x8:=x4:fofType;Xu0:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x8)
% Found x9:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x8:=x6:fofType
% Found (fun (x9:((cP Xu00) x6))=> x9) as proof of ((cP (g Xu)) x8)
% Found (fun (x9:((cP Xu00) x6))=> x9) as proof of (((cP Xu00) x6)->((cP (g Xu)) x8))
% Found x9:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x2)
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found x9 as proof of ((cP (g Xu)) x0)
% Found x8:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x9:=x6:fofType
% Found x8 as proof of ((cP (g Xu)) x9)
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x7:fofType
% Found x9 as proof of ((cP (g Xu)) x6)
% Found x9:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x8:=x6:fofType
% Found x9 as proof of ((cP (g Xu)) x8)
% Found x9:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found x9 as proof of ((cP (g Xu)) x4)
% Found x9:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x6)
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x7:fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x4)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x4))
% Found x9:((cP Xu0) x4)
% Instantiate: x8:=x4:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x4))=> x9) as proof of ((cP (g Xu)) x8)
% Found (fun (x9:((cP Xu0) x4))=> x9) as proof of (((cP Xu0) x4)->((cP (g Xu)) x8))
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x7:fofType
% Found x9 as proof of ((cP (g Xu)) x4)
% Found x8:((cP Xu0) x4)
% Instantiate: x9:=x4:fofType;Xu0:=(g Xu):fofType
% Found x8 as proof of ((cP (g Xu)) x9)
% Found x9:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x2)
% Found x9:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x0)
% Found x9:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x2)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x2))
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x0)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x0))
% Found x9:((cP Xu0) x4)
% Instantiate: x8:=x4:fofType;Xu0:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x8)
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x7:fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x6)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x6))
% Found x9:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x8:=x6:fofType
% Found (fun (x9:((cP Xu00) x6))=> x9) as proof of ((cP (g Xu)) x8)
% Found (fun (x9:((cP Xu00) x6))=> x9) as proof of (((cP Xu00) x6)->((cP (g Xu)) x8))
% Found x9:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x4)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x4))
% Found x9:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x4))=> x9) as proof of ((cP (g Xu)) x6)
% Found (fun (x9:((cP Xu0) x4))=> x9) as proof of (((cP Xu0) x4)->((cP (g Xu)) x6))
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found x9 as proof of ((cP (g Xu)) x0)
% Found x9:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x2)
% Found x8:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x9:=x6:fofType
% Found x8 as proof of ((cP (g Xu)) x9)
% Found x9:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found x9 as proof of ((cP (g Xu)) x4)
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x7:fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x4)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x4))
% Found x9:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x6)
% Found x9:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x0)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x0))
% Found x9:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x2)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x2))
% Found x9:((cP Xu0) x4)
% Instantiate: x8:=x4:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x4))=> x9) as proof of ((cP (g Xu)) x8)
% Found (fun (x9:((cP Xu0) x4))=> x9) as proof of (((cP Xu0) x4)->((cP (g Xu)) x8))
% Found x9:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x2)
% Found x8:((cP Xu0) x4)
% Instantiate: x9:=x4:fofType;Xu0:=(g Xu):fofType
% Found x8 as proof of ((cP (g Xu)) x9)
% Found x9:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x0)
% Found x9:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x2)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x2))
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x0)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x0))
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x7:fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x6)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x6))
% Found x9:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x4)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x4))
% Found x9:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x4))=> x9) as proof of ((cP (g Xu)) x6)
% Found (fun (x9:((cP Xu0) x4))=> x9) as proof of (((cP Xu0) x4)->((cP (g Xu)) x6))
% Found x7:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found x7 as proof of ((cP (g Xu)) x4)
% Found x7:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found x7 as proof of ((cP (g Xu)) x6)
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x7:fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x4)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x4))
% Found x9:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x2)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x2))
% Found x9:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x0)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x0))
% Found x7:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found x7 as proof of ((cP (g Xu)) x0)
% Found x7:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found x7 as proof of ((cP (g Xu)) x2)
% Found x6:((cP Xu0) x4)
% Instantiate: x9:=x4:fofType;Xu0:=(g Xu):fofType
% Found x6 as proof of ((cP (g Xu)) x9)
% Found x9:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x2)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x2))
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x0)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x0))
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x7:fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x6)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x6))
% Found x6:((cP Xu0) x4)
% Instantiate: Xu0:=(g Xu):fofType;x7:=x4:fofType
% Found x6 as proof of ((cP (g Xu)) x7)
% Found x7:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found x7 as proof of ((cP (g Xu)) x4)
% Found x7:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found x7 as proof of ((cP (g Xu)) x6)
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x7:fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x4)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x4))
% Found x9:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x4)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x4))
% Found x9:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x4))=> x9) as proof of ((cP (g Xu)) x6)
% Found (fun (x9:((cP Xu0) x4))=> x9) as proof of (((cP Xu0) x4)->((cP (g Xu)) x6))
% Found x7:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found x7 as proof of ((cP (g Xu)) x2)
% Found x7:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found x7 as proof of ((cP (g Xu)) x0)
% Found x6:((cP Xu0) x4)
% Instantiate: x9:=x4:fofType;Xu0:=(g Xu):fofType
% Found x6 as proof of ((cP (g Xu)) x9)
% Found x9:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x2)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x2))
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x0)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x0))
% Found x9:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x0)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x0))
% Found x9:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x2)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x2))
% Found x6:((cP Xu0) x4)
% Instantiate: Xu0:=(g Xu):fofType;x7:=x4:fofType
% Found x6 as proof of ((cP (g Xu)) x7)
% Found x9:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x4)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x4))
% Found x9:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x4))=> x9) as proof of ((cP (g Xu)) x6)
% Found (fun (x9:((cP Xu0) x4))=> x9) as proof of (((cP Xu0) x4)->((cP (g Xu)) x6))
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x7:fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x4)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x4))
% Found x9:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x2)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x2))
% Found x9:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x0)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x0))
% Found x9:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x2)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x2))
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x0)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x0))
% Found x9:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x4)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x4))
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x7:fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x4)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x4))
% Found x10:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of ((cP (g Xu)) x4)
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of (((cP Xu0) x5)->((cP (g Xu)) x4))
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x7:fofType
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of ((cP (g Xu)) x4)
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of (((cP Xu00) x7)->((cP (g Xu)) x4))
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x7:fofType
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of ((cP (g Xu)) x6)
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of (((cP Xu00) x7)->((cP (g Xu)) x6))
% Found x10:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of ((cP (g Xu)) x6)
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of (((cP Xu0) x4)->((cP (g Xu)) x6))
% Found x10:((cP Xu0) x4)
% Instantiate: x8:=x4:fofType;Xu0:=(g Xu):fofType
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of ((cP (g Xu)) x8)
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of (((cP Xu0) x4)->((cP (g Xu)) x8))
% Found x10:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x8:=x6:fofType
% Found (fun (x10:((cP Xu00) x6))=> x10) as proof of ((cP (g Xu)) x8)
% Found (fun (x10:((cP Xu00) x6))=> x10) as proof of (((cP Xu00) x6)->((cP (g Xu)) x8))
% Found x9:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x0)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x0))
% Found x9:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x2)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x2))
% Found x9:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x2)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x2))
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x0)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x0))
% Found x10:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of ((cP (g Xu)) x0)
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of (((cP Xu0) x5)->((cP (g Xu)) x0))
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of ((cP (g Xu)) x0)
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of (((cP Xu00) x7)->((cP (g Xu)) x0))
% Found x10:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of ((cP (g Xu)) x2)
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of (((cP Xu00) x7)->((cP (g Xu)) x2))
% Found x10:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of ((cP (g Xu)) x2)
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of (((cP Xu0) x5)->((cP (g Xu)) x2))
% Found x9:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x4)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x4))
% Found x10:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found x10 as proof of ((cP (g Xu)) x4)
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x7:fofType
% Found x10 as proof of ((cP (g Xu)) x4)
% Found x9:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found x9 as proof of ((cP (g Xu)) x4)
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x7:fofType
% Found x10 as proof of ((cP (g Xu)) x6)
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x7:fofType
% Found x9 as proof of ((cP (g Xu)) x4)
% Found x10:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x6)
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x7:fofType
% Found x10 as proof of ((cP (g Xu)) x4)
% Found x9:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x6)
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x7:fofType
% Found x9 as proof of ((cP (g Xu)) x6)
% Found x10:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found x10 as proof of ((cP (g Xu)) x4)
% Found x10:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x8:=x6:fofType
% Found x10 as proof of ((cP (g Xu)) x8)
% Found x10:((cP Xu0) x4)
% Instantiate: x8:=x4:fofType;Xu0:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x8)
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x7:fofType
% Found x10 as proof of ((cP (g Xu)) x6)
% Found x9:((cP Xu0) x4)
% Instantiate: x8:=x4:fofType;Xu0:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x8)
% Found x9:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x8:=x6:fofType
% Found x9 as proof of ((cP (g Xu)) x8)
% Found x10:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x6)
% Found x10:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x8:=x6:fofType
% Found x10 as proof of ((cP (g Xu)) x8)
% Found x10:((cP Xu0) x4)
% Instantiate: x8:=x4:fofType;Xu0:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x8)
% Found x10:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of ((cP (g Xu)) x4)
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of (((cP Xu0) x5)->((cP (g Xu)) x4))
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x7:fofType
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of ((cP (g Xu)) x4)
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of (((cP Xu00) x7)->((cP (g Xu)) x4))
% Found x10:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of ((cP (g Xu)) x6)
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of (((cP Xu0) x4)->((cP (g Xu)) x6))
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x7:fofType
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of ((cP (g Xu)) x6)
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of (((cP Xu00) x7)->((cP (g Xu)) x6))
% Found x10:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x8:=x6:fofType
% Found (fun (x10:((cP Xu00) x6))=> x10) as proof of ((cP (g Xu)) x8)
% Found (fun (x10:((cP Xu00) x6))=> x10) as proof of (((cP Xu00) x6)->((cP (g Xu)) x8))
% Found x10:((cP Xu0) x4)
% Instantiate: x8:=x4:fofType;Xu0:=(g Xu):fofType
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of ((cP (g Xu)) x8)
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of (((cP Xu0) x4)->((cP (g Xu)) x8))
% Found x9:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x0)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x0))
% Found x9:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x2)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x2))
% Found x10:((cP Xu00) x8)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x8:fofType
% Found (fun (x10:((cP Xu00) x8))=> x10) as proof of ((cP (g Xu)) x4)
% Found (fun (x10:((cP Xu00) x8))=> x10) as proof of (((cP Xu00) x8)->((cP (g Xu)) x4))
% Found x10:((cP Xu00) x8)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x8:fofType
% Found (fun (x10:((cP Xu00) x8))=> x10) as proof of ((cP (g Xu)) x6)
% Found (fun (x10:((cP Xu00) x8))=> x10) as proof of (((cP Xu00) x8)->((cP (g Xu)) x6))
% Found x10:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x0)
% Found x10:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x2)
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found x10 as proof of ((cP (g Xu)) x0)
% Found x10:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x2)
% Found x9:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x0)
% Found x9:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x2)
% Found x9:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x2)
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found x9 as proof of ((cP (g Xu)) x0)
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found x10 as proof of ((cP (g Xu)) x0)
% Found x10:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x2)
% Found x10:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x2)
% Found x10:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x0)
% Found x9:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x2)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x2))
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x0)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x0))
% Found x10:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of ((cP (g Xu)) x2)
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of (((cP Xu00) x7)->((cP (g Xu)) x2))
% Found x10:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of ((cP (g Xu)) x0)
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of (((cP Xu0) x5)->((cP (g Xu)) x0))
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of ((cP (g Xu)) x0)
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of (((cP Xu00) x7)->((cP (g Xu)) x0))
% Found x10:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of ((cP (g Xu)) x2)
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of (((cP Xu0) x5)->((cP (g Xu)) x2))
% Found x10:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of ((cP (g Xu)) x4)
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of (((cP Xu0) x5)->((cP (g Xu)) x4))
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x7:fofType
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of ((cP (g Xu)) x4)
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of (((cP Xu00) x7)->((cP (g Xu)) x4))
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x7:fofType
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of ((cP (g Xu)) x6)
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of (((cP Xu00) x7)->((cP (g Xu)) x6))
% Found x10:((cP Xu0) x4)
% Instantiate: x8:=x4:fofType;Xu0:=(g Xu):fofType
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of ((cP (g Xu)) x8)
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of (((cP Xu0) x4)->((cP (g Xu)) x8))
% Found x10:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of ((cP (g Xu)) x6)
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of (((cP Xu0) x4)->((cP (g Xu)) x6))
% Found x10:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x8:=x6:fofType
% Found (fun (x10:((cP Xu00) x6))=> x10) as proof of ((cP (g Xu)) x8)
% Found (fun (x10:((cP Xu00) x6))=> x10) as proof of (((cP Xu00) x6)->((cP (g Xu)) x8))
% Found x10:((cP Xu00) x8)
% Instantiate: x2:=x8:fofType;Xu00:=(g Xu):fofType
% Found (fun (x10:((cP Xu00) x8))=> x10) as proof of ((cP (g Xu)) x2)
% Found (fun (x10:((cP Xu00) x8))=> x10) as proof of (((cP Xu00) x8)->((cP (g Xu)) x2))
% Found x10:((cP Xu00) x8)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x8:fofType
% Found (fun (x10:((cP Xu00) x8))=> x10) as proof of ((cP (g Xu)) x0)
% Found (fun (x10:((cP Xu00) x8))=> x10) as proof of (((cP Xu00) x8)->((cP (g Xu)) x0))
% Found x10:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x9:=x6:fofType
% Found x10 as proof of ((cP (g Xu)) x9)
% Found x10:((cP Xu0) x4)
% Instantiate: x9:=x4:fofType;Xu0:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x9)
% Found x8:((cP Xu0) x4)
% Instantiate: x9:=x4:fofType;Xu0:=(g Xu):fofType
% Found x8 as proof of ((cP (g Xu)) x9)
% Found x8:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x9:=x6:fofType
% Found x8 as proof of ((cP (g Xu)) x9)
% Found x10:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x9:=x6:fofType
% Found x10 as proof of ((cP (g Xu)) x9)
% Found x10:((cP Xu0) x4)
% Instantiate: x9:=x4:fofType;Xu0:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x9)
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x7:fofType
% Found x10 as proof of ((cP (g Xu)) x4)
% Found x10:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found x10 as proof of ((cP (g Xu)) x4)
% Found x9:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found x9 as proof of ((cP (g Xu)) x4)
% Found x10:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x6)
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x7:fofType
% Found x10 as proof of ((cP (g Xu)) x6)
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x7:fofType
% Found x9 as proof of ((cP (g Xu)) x4)
% Found x10:((cP Xu0) x4)
% Instantiate: x8:=x4:fofType;Xu0:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x8)
% Found x10:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of ((cP (g Xu)) x4)
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of (((cP Xu0) x5)->((cP (g Xu)) x4))
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x7:fofType
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of ((cP (g Xu)) x4)
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of (((cP Xu00) x7)->((cP (g Xu)) x4))
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x7:fofType
% Found x10 as proof of ((cP (g Xu)) x4)
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x7:fofType
% Found x9 as proof of ((cP (g Xu)) x6)
% Found x10:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x8:=x6:fofType
% Found x10 as proof of ((cP (g Xu)) x8)
% Found x10:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found x10 as proof of ((cP (g Xu)) x4)
% Found x9:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x6)
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x7:fofType
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of ((cP (g Xu)) x6)
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of (((cP Xu00) x7)->((cP (g Xu)) x6))
% Found x9:((cP Xu0) x4)
% Instantiate: x8:=x4:fofType;Xu0:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x8)
% Found x10:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x6)
% Found x10:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of ((cP (g Xu)) x6)
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of (((cP Xu0) x4)->((cP (g Xu)) x6))
% Found x9:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x8:=x6:fofType
% Found x9 as proof of ((cP (g Xu)) x8)
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x7:fofType
% Found x10 as proof of ((cP (g Xu)) x6)
% Found x10:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x8:=x6:fofType
% Found x10 as proof of ((cP (g Xu)) x8)
% Found x10:((cP Xu0) x4)
% Instantiate: x8:=x4:fofType;Xu0:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x8)
% Found x10:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of ((cP (g Xu)) x2)
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of (((cP Xu0) x5)->((cP (g Xu)) x2))
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of ((cP (g Xu)) x0)
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of (((cP Xu00) x7)->((cP (g Xu)) x0))
% Found x10:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of ((cP (g Xu)) x2)
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of (((cP Xu00) x7)->((cP (g Xu)) x2))
% Found x10:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of ((cP (g Xu)) x0)
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of (((cP Xu0) x5)->((cP (g Xu)) x0))
% Found x9:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x0)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x0))
% Found x9:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of ((cP (g Xu)) x2)
% Found (fun (x9:((cP Xu0) x5))=> x9) as proof of (((cP Xu0) x5)->((cP (g Xu)) x2))
% Found x10:((cP Xu00) x8)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x8:fofType
% Found x10 as proof of ((cP (g Xu)) x4)
% Found x7:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found x7 as proof of ((cP (g Xu)) x4)
% Found x10:((cP Xu00) x8)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x8:fofType
% Found x10 as proof of ((cP (g Xu)) x6)
% Found x7:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found x7 as proof of ((cP (g Xu)) x6)
% Found x10:((cP Xu00) x8)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x8:fofType
% Found x10 as proof of ((cP (g Xu)) x4)
% Found x10:((cP Xu00) x8)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x8:fofType
% Found x10 as proof of ((cP (g Xu)) x6)
% Found x10:((cP Xu00) x8)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x8:fofType
% Found (fun (x10:((cP Xu00) x8))=> x10) as proof of ((cP (g Xu)) x4)
% Found (fun (x10:((cP Xu00) x8))=> x10) as proof of (((cP Xu00) x8)->((cP (g Xu)) x4))
% Found x10:((cP Xu00) x8)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x8:fofType
% Found (fun (x10:((cP Xu00) x8))=> x10) as proof of ((cP (g Xu)) x6)
% Found (fun (x10:((cP Xu00) x8))=> x10) as proof of (((cP Xu00) x8)->((cP (g Xu)) x6))
% Found x10:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x2)
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found x10 as proof of ((cP (g Xu)) x0)
% Found x10:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x0)
% Found x10:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x2)
% Found x9:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x0)
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found x9 as proof of ((cP (g Xu)) x0)
% Found x9:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x2)
% Found x9:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found x9 as proof of ((cP (g Xu)) x2)
% Found x10:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of ((cP (g Xu)) x2)
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of (((cP Xu00) x7)->((cP (g Xu)) x2))
% Found x10:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of ((cP (g Xu)) x0)
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of (((cP Xu0) x5)->((cP (g Xu)) x0))
% Found x10:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of ((cP (g Xu)) x2)
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of (((cP Xu0) x5)->((cP (g Xu)) x2))
% Found x10:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x2)
% Found x10:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x0)
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found x10 as proof of ((cP (g Xu)) x0)
% Found x10:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x2)
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of ((cP (g Xu)) x0)
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of (((cP Xu00) x7)->((cP (g Xu)) x0))
% Found x9:((cP Xu00) x7)
% Instantiate: x2:=x7:fofType;Xu00:=(g Xu):fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x2)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x2))
% Found x9:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x7:fofType
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of ((cP (g Xu)) x0)
% Found (fun (x9:((cP Xu00) x7))=> x9) as proof of (((cP Xu00) x7)->((cP (g Xu)) x0))
% Found x10:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x9:=x6:fofType
% Found (fun (x10:((cP Xu00) x6))=> x10) as proof of ((cP (g Xu)) x9)
% Found (fun (x10:((cP Xu00) x6))=> x10) as proof of (((cP Xu00) x6)->((cP (g Xu)) x9))
% Found x10:((cP Xu0) x4)
% Instantiate: x9:=x4:fofType;Xu0:=(g Xu):fofType
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of ((cP (g Xu)) x9)
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of (((cP Xu0) x4)->((cP (g Xu)) x9))
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x4:=x7:fofType
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of ((cP (g Xu)) x4)
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of (((cP Xu00) x7)->((cP (g Xu)) x4))
% Found x10:((cP Xu0) x5)
% Instantiate: Xu0:=(g Xu):fofType;x4:=x5:fofType
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of ((cP (g Xu)) x4)
% Found (fun (x10:((cP Xu0) x5))=> x10) as proof of (((cP Xu0) x5)->((cP (g Xu)) x4))
% Found x10:((cP Xu00) x6)
% Instantiate: Xu00:=(g Xu):fofType;x8:=x6:fofType
% Found (fun (x10:((cP Xu00) x6))=> x10) as proof of ((cP (g Xu)) x8)
% Found (fun (x10:((cP Xu00) x6))=> x10) as proof of (((cP Xu00) x6)->((cP (g Xu)) x8))
% Found x10:((cP Xu00) x7)
% Instantiate: Xu00:=(g Xu):fofType;x6:=x7:fofType
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of ((cP (g Xu)) x6)
% Found (fun (x10:((cP Xu00) x7))=> x10) as proof of (((cP Xu00) x7)->((cP (g Xu)) x6))
% Found x10:((cP Xu0) x4)
% Instantiate: x6:=x4:fofType;Xu0:=(g Xu):fofType
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of ((cP (g Xu)) x6)
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of (((cP Xu0) x4)->((cP (g Xu)) x6))
% Found x10:((cP Xu0) x4)
% Instantiate: x8:=x4:fofType;Xu0:=(g Xu):fofType
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of ((cP (g Xu)) x8)
% Found (fun (x10:((cP Xu0) x4))=> x10) as proof of (((cP Xu0) x4)->((cP (g Xu)) x8))
% Found x10:((cP Xu00) x8)
% Instantiate: x2:=x8:fofType;Xu00:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x2)
% Found x10:((cP Xu00) x8)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x8:fofType
% Found x10 as proof of ((cP (g Xu)) x0)
% Found x7:((cP Xu0) x5)
% Instantiate: x2:=x5:fofType;Xu0:=(g Xu):fofType
% Found x7 as proof of ((cP (g Xu)) x2)
% Found x7:((cP Xu0) x5)
% Instantiate: x0:=x5:fofType;Xu0:=(g Xu):fofType
% Found x7 as proof of ((cP (g Xu)) x0)
% Found x10:((cP Xu00) x8)
% Instantiate: x2:=x8:fofType;Xu00:=(g Xu):fofType
% Found x10 as proof of ((cP (g Xu)) x2)
% Found x10:((cP Xu00) x8)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x8:fofType
% Found x10 as proof of ((cP (g Xu)) x0)
% Found x10:((cP Xu00) x8)
% Instantiate: Xu00:=(g Xu):fofType;x0:=x8:fofType
% Found (fun (x10:((cP Xu00) x8))=> x10) as proof of ((cP (g Xu)) x0)
% Found (fun (x10:((cP Xu00) x8))=> x10) as proof of (((cP Xu00) x8)->((cP (g Xu)) x0))
% Found x10:((cP Xu00) x8)
% Instantiate: x2:=x8:fofType;Xu00:=(g Xu):fofType
% Found (fun (x10:((cP Xu00) x8))=> x10) as proof of ((cP (g Xu)) x2)
% Found (fun (x10:((cP Xu00) x8))=> x10) as proof
% EOF
%------------------------------------------------------------------------------