TSTP Solution File: SEU967^5 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SEU967^5 : TPTP v6.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n180.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 13:33:27 EDT 2014
% Result : Timeout 300.02s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : SEU967^5 : TPTP v6.1.0. Released v4.0.0.
% % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n180.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 11:46:46 CDT 2014
% % CPUTime : 300.02
% 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 0x141b830>, <kernel.DependentProduct object at 0x141bd40>) of role type named cY_0
% Using role type
% Declaring cY_0:(((fofType->fofType)->Prop)->fofType)
% FOF formula (<kernel.Constant object at 0x15f9320>, <kernel.DependentProduct object at 0x141bab8>) of role type named cG_0
% Using role type
% Declaring cG_0:(((fofType->fofType)->Prop)->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0x141bc20>, <kernel.DependentProduct object at 0x141b3f8>) of role type named cP_0
% Using role type
% Declaring cP_0:(fofType->Prop)
% FOF formula (<kernel.Constant object at 0x141b488>, <kernel.DependentProduct object at 0x141bd40>) of role type named cH_0
% Using role type
% Declaring cH_0:(((fofType->fofType)->Prop)->(fofType->fofType))
% FOF formula ((forall (Xm_5:((fofType->fofType)->(fofType->Prop))), ((and ((and ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))) ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))) ((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2)))))))->False)))))->False) of role conjecture named cBUGWFFA_pme
% Conjecture to prove = ((forall (Xm_5:((fofType->fofType)->(fofType->Prop))), ((and ((and ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))) ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))) ((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2)))))))->False)))))->False):Prop
% Parameter fofType_DUMMY:fofType.
% We need to prove ['((forall (Xm_5:((fofType->fofType)->(fofType->Prop))), ((and ((and ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))) ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))) ((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2)))))))->False)))))->False)']
% Parameter fofType:Type.
% Parameter cY_0:(((fofType->fofType)->Prop)->fofType).
% Parameter cG_0:(((fofType->fofType)->Prop)->(fofType->fofType)).
% Parameter cP_0:(fofType->Prop).
% Parameter cH_0:(((fofType->fofType)->Prop)->(fofType->fofType)).
% Trying to prove ((forall (Xm_5:((fofType->fofType)->(fofType->Prop))), ((and ((and ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))) ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))) ((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2)))))))->False)))))->False)
% Found x30:False
% Found (fun (x5:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x30) as proof of False
% Found (fun (x5:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x30) as proof of (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))->False)
% Found x30:False
% Found (fun (x5:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x30) as proof of False
% Found (fun (x4:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))) (x5:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x30) as proof of (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))->False)
% Found (fun (x4:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))) (x5:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x30) as proof of (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))->(((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))->False))
% Found x50:False
% Found (fun (x7:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x50) as proof of False
% Found (fun (x7:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x50) as proof of (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6)->False)
% Found x50:False
% Found (fun (x7:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x50) as proof of False
% Found (fun (x7:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x50) as proof of (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6)->False)
% Found x50:False
% Found (fun (x7:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x50) as proof of False
% Found (fun (x6:fofType) (x7:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x50) as proof of (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6)->False)
% Found (fun (x6:fofType) (x7:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x50) as proof of (forall (x:fofType), (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x)->False))
% Found x50:False
% Found (fun (x7:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x50) as proof of False
% Found (fun (x6:fofType) (x7:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x50) as proof of (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6)->False)
% Found (fun (x6:fofType) (x7:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x50) as proof of (forall (x:fofType), (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x)->False))
% Found x30:False
% Found (fun (x7:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x30) as proof of False
% Found (fun (x7:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x30) as proof of (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6)->False)
% Found x30:False
% Found (fun (x7:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x30) as proof of False
% Found (fun (x7:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x30) as proof of (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6)->False)
% Found x30:False
% Found (fun (x7:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x30) as proof of False
% Found (fun (x6:fofType) (x7:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x30) as proof of (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6)->False)
% Found (fun (x6:fofType) (x7:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x30) as proof of (forall (x:fofType), (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x)->False))
% Found x30:False
% Found (fun (x7:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x30) as proof of False
% Found (fun (x6:fofType) (x7:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x30) as proof of (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6)->False)
% Found (fun (x6:fofType) (x7:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x6))=> x30) as proof of (forall (x:fofType), (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x)->False))
% Found x50:False
% Found (fun (x7:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x50) as proof of False
% Found (fun (x7:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x50) as proof of (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))->False)
% Found x50:False
% Found (fun (x7:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x50) as proof of False
% Found (fun (x6:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))) (x7:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x50) as proof of (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))->False)
% Found (fun (x6:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))) (x7:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x50) as proof of (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))->(((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))->False))
% Found x70:False
% Found (fun (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of False
% Found (fun (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found x70:False
% Found (fun (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of False
% Found (fun (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found x70:False
% Found (fun (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of False
% Found (fun (x8:fofType) (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found (fun (x8:fofType) (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of (forall (x:fofType), (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x)->False))
% Found x70:False
% Found (fun (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of False
% Found (fun (x8:fofType) (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found (fun (x8:fofType) (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of (forall (x:fofType), (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x)->False))
% Found x70:False
% Found (fun (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of False
% Found (fun (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found x70:False
% Found (fun (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of False
% Found (fun (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found x30:False
% Found (fun (x6:((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2)))))))->False))))=> x30) as proof of False
% Found (fun (x6:((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2)))))))->False))))=> x30) as proof of (((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2)))))))->False)))->False)
% Found x70:False
% Found (fun (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of False
% Found (fun (x8:fofType) (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found (fun (x8:fofType) (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of (forall (x:fofType), (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x)->False))
% Found x70:False
% Found (fun (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of False
% Found (fun (x8:fofType) (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found (fun (x8:fofType) (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of (forall (x:fofType), (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x)->False))
% Found x30:False
% Found (fun (x6:((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2)))))))->False))))=> x30) as proof of False
% Found (fun (x5:((and ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2)))) ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2))))) (x6:((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2)))))))->False))))=> x30) as proof of (((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2)))))))->False)))->False)
% Found (fun (x5:((and ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2)))) ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2))))) (x6:((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2)))))))->False))))=> x30) as proof of (((and ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2)))) ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2))))->(((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2)))))))->False)))->False))
% Found x50:False
% Found (fun (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of False
% Found (fun (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found x50:False
% Found (fun (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of False
% Found (fun (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found x50:False
% Found (fun (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of False
% Found (fun (x8:fofType) (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found (fun (x8:fofType) (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of (forall (x:fofType), (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x)->False))
% Found x50:False
% Found (fun (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of False
% Found (fun (x8:fofType) (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found (fun (x8:fofType) (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of (forall (x:fofType), (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x)->False))
% Found x50:False
% Found (fun (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of False
% Found (fun (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found x50:False
% Found (fun (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of False
% Found (fun (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found x30:False
% Found (fun (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x30) as proof of False
% Found (fun (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x30) as proof of (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found x30:False
% Found (fun (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x30) as proof of False
% Found (fun (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x30) as proof of (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found x50:False
% Found (fun (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of False
% Found (fun (x8:fofType) (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found (fun (x8:fofType) (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of (forall (x:fofType), (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x)->False))
% Found x50:False
% Found (fun (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of False
% Found (fun (x8:fofType) (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found (fun (x8:fofType) (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x50) as proof of (forall (x:fofType), (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x)->False))
% Found x30:False
% Found (fun (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x30) as proof of False
% Found (fun (x8:fofType) (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x30) as proof of (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found (fun (x8:fofType) (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x30) as proof of (forall (x:fofType), (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x)->False))
% Found x30:False
% Found (fun (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x30) as proof of False
% Found (fun (x8:fofType) (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x30) as proof of (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found (fun (x8:fofType) (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x30) as proof of (forall (x:fofType), (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x)->False))
% Found x70:False
% Found (fun (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of False
% Found (fun (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found x70:False
% Found (fun (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of False
% Found (fun (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found x60:False
% Found (fun (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of False
% Found (fun (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2)))->False)
% Found x70:False
% Found (fun (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of False
% Found (fun (x8:fofType) (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found (fun (x8:fofType) (x9:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of (forall (x:fofType), (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x)->False))
% Found x70:False
% Found (fun (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of False
% Found (fun (x8:fofType) (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8)->False)
% Found (fun (x8:fofType) (x9:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x8))=> x70) as proof of (forall (x:fofType), (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x)->False))
% Found x60:False
% Found (fun (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of False
% Found (fun (x7:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2)))) (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2)))->False)
% Found (fun (x7:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2)))) (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2)))->(((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2)))->False))
% Found x60:False
% Found (fun (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of False
% Found (fun (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2)))->False)
% Found x60:False
% Found (fun (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of False
% Found (fun (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))->False)
% Found x60:False
% Found (fun (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of False
% Found (fun (x7:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2)))) (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2)))->False)
% Found (fun (x7:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2)))) (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2)))->(((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2)))->False))
% Found x60:False
% Found (fun (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of False
% Found (fun (x7:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))) (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))->False)
% Found (fun (x7:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))) (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))->(((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))->False))
% Found x60:False
% Found (fun (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of False
% Found (fun (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))->False)
% Found x50:False
% Found (fun (x8:((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2)))))))->False))))=> x50) as proof of False
% Found (fun (x8:((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2)))))))->False))))=> x50) as proof of (((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2)))))))->False)))->False)
% Found x60:False
% Found (fun (x7:(((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False))=> x60) as proof of False
% Found (fun (x7:(((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False))=> x60) as proof of ((((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)->False)
% Found x60:False
% Found (fun (x7:((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2)))))))->False)))=> x60) as proof of False
% Found (fun (x7:((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2)))))))->False)))=> x60) as proof of (((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2)))))))->False))->False)
% Found x60:False
% Found (fun (x7:((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2)))))))->False)))=> x60) as proof of False
% Found (fun (x7:((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2)))))))->False)))=> x60) as proof of (((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 Xw_1144) Xw_2)))))))->False))->False)
% Found x60:False
% Found (fun (x7:(((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False))=> x60) as proof of False
% Found (fun (x7:(((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False))=> x60) as proof of ((((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)->False)
% Found x60:False
% Found (fun (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of False
% Found (fun (x7:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))) (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))->False)
% Found (fun (x7:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))) (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2))))=> x60) as proof of (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))->(((ex fofType) (fun (Xw_2:fofType)=> ((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) Xw_2)))->False))
% Found x50:False
% Found (fun (x8:((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2)))))))->False))))=> x50) as proof of False
% Found (fun (x7:((and ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2)))) ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2))))) (x8:((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2)))))))->False))))=> x50) as proof of (((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2)))))))->False)))->False)
% Found (fun (x7:((and ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2)))) ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2))))) (x8:((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2)))))))->False))))=> x50) as proof of (((and ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2)))) ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2))))->(((or (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (fun (Xx:fofType)=> ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) ((cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20))))) Xx)))) Xw_2)))->False)) ((and (cP_0 (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))))) ((cP_0 ((cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2))))) (cY_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 Xw_1144) Xw_2)))))))->False)))->False))
% Found x90:False
% Found (fun (x11:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x10))=> x90) as proof of False
% Found (fun (x11:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x10))=> x90) as proof of (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x10)->False)
% Found x90:False
% Found (fun (x11:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x10))=> x90) as proof of False
% Found (fun (x11:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x10))=> x90) as proof of (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x10)->False)
% Found x30:False
% Found (fun (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2))))=> x30) as proof of False
% Found (fun (x8:((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2))))=> x30) as proof of (((ex fofType) (fun (Xw_2:fofType)=> ((Xm_50 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_50 Xw_1144) Xw_20)))))) Xw_2)))->False)
% Found x90:False
% Found (fun (x11:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x10))=> x90) as proof of False
% Found (fun (x10:fofType) (x11:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x10))=> x90) as proof of (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x10)->False)
% Found (fun (x10:fofType) (x11:((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x10))=> x90) as proof of (forall (x:fofType), (((Xm_5 (cG_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x)->False))
% Found x90:False
% Found (fun (x11:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x10))=> x90) as proof of False
% Found (fun (x10:fofType) (x11:((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofType)=> ((Xm_5 Xw_1144) Xw_20)))))) x10))=> x90) as proof of (((Xm_5 (cH_0 (fun (Xw_1144:(fofType->fofType))=> ((ex fofType) (fun (Xw_20:fofTy
% EOF
%------------------------------------------------------------------------------