%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SEV066^5 : TPTP v6.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n115.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 13:33:41 EDT 2014

% Result   : Timeout 300.06s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : SEV066^5 : TPTP v6.1.0. Released v4.0.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n115.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 07:52:56 CDT 2014
% % CPUTime  : 300.06 
% Python 2.7.5
% Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% FOF formula ((ex ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) (fun (Xr_28:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))))=> ((ex ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) (fun (Xr_27:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))))=> ((and ((and (forall (Xx:(fofType->Prop)) (Xw_2:fofType), ((or (((Xr_27 Xx) Xx) Xw_2)) (((Xr_28 Xx) Xx) Xw_2)))) (forall (Xx:(fofType->Prop)) (Xy:(fofType->Prop)) (Xz:(fofType->Prop)), (((and (forall (Xw_2:fofType), ((or (((Xr_27 Xx) Xy) Xw_2)) (((Xr_28 Xx) Xy) Xw_2)))) (forall (Xw_2:fofType), ((or (((Xr_27 Xy) Xz) Xw_2)) (((Xr_28 Xy) Xz) Xw_2))))->(forall (Xw_2:fofType), ((or (((Xr_27 Xx) Xz) Xw_2)) (((Xr_28 Xx) Xz) Xw_2))))))) ((forall (Xw_2:fofType), ((or (((Xr_27 (fun (Xx:fofType)=> True)) (fun (Xx:fofType)=> False)) Xw_2)) (((Xr_28 (fun (Xx:fofType)=> True)) (fun (Xx:fofType)=> False)) Xw_2)))->False)))))) of role conjecture named cTHM120D_pme
% Conjecture to prove = ((ex ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) (fun (Xr_28:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))))=> ((ex ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) (fun (Xr_27:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))))=> ((and ((and (forall (Xx:(fofType->Prop)) (Xw_2:fofType), ((or (((Xr_27 Xx) Xx) Xw_2)) (((Xr_28 Xx) Xx) Xw_2)))) (forall (Xx:(fofType->Prop)) (Xy:(fofType->Prop)) (Xz:(fofType->Prop)), (((and (forall (Xw_2:fofType), ((or (((Xr_27 Xx) Xy) Xw_2)) (((Xr_28 Xx) Xy) Xw_2)))) (forall (Xw_2:fofType), ((or (((Xr_27 Xy) Xz) Xw_2)) (((Xr_28 Xy) Xz) Xw_2))))->(forall (Xw_2:fofType), ((or (((Xr_27 Xx) Xz) Xw_2)) (((Xr_28 Xx) Xz) Xw_2))))))) ((forall (Xw_2:fofType), ((or (((Xr_27 (fun (Xx:fofType)=> True)) (fun (Xx:fofType)=> False)) Xw_2)) (((Xr_28 (fun (Xx:fofType)=> True)) (fun (Xx:fofType)=> False)) Xw_2)))->False)))))):Prop
% Parameter fofType_DUMMY:fofType.
% We need to prove ['((ex ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) (fun (Xr_28:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))))=> ((ex ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) (fun (Xr_27:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))))=> ((and ((and (forall (Xx:(fofType->Prop)) (Xw_2:fofType), ((or (((Xr_27 Xx) Xx) Xw_2)) (((Xr_28 Xx) Xx) Xw_2)))) (forall (Xx:(fofType->Prop)) (Xy:(fofType->Prop)) (Xz:(fofType->Prop)), (((and (forall (Xw_2:fofType), ((or (((Xr_27 Xx) Xy) Xw_2)) (((Xr_28 Xx) Xy) Xw_2)))) (forall (Xw_2:fofType), ((or (((Xr_27 Xy) Xz) Xw_2)) (((Xr_28 Xy) Xz) Xw_2))))->(forall (Xw_2:fofType), ((or (((Xr_27 Xx) Xz) Xw_2)) (((Xr_28 Xx) Xz) Xw_2))))))) ((forall (Xw_2:fofType), ((or (((Xr_27 (fun (Xx:fofType)=> True)) (fun (Xx:fofType)=> False)) Xw_2)) (((Xr_28 (fun (Xx:fofType)=> True)) (fun (Xx:fofType)=> False)) Xw_2)))->False))))))']
% Parameter fofType:Type.
% Trying to prove ((ex ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) (fun (Xr_28:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))))=> ((ex ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) (fun (Xr_27:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))))=> ((and ((and (forall (Xx:(fofType->Prop)) (Xw_2:fofType), ((or (((Xr_27 Xx) Xx) Xw_2)) (((Xr_28 Xx) Xx) Xw_2)))) (forall (Xx:(fofType->Prop)) (Xy:(fofType->Prop)) (Xz:(fofType->Prop)), (((and (forall (Xw_2:fofType), ((or (((Xr_27 Xx) Xy) Xw_2)) (((Xr_28 Xx) Xy) Xw_2)))) (forall (Xw_2:fofType), ((or (((Xr_27 Xy) Xz) Xw_2)) (((Xr_28 Xy) Xz) Xw_2))))->(forall (Xw_2:fofType), ((or (((Xr_27 Xx) Xz) Xw_2)) (((Xr_28 Xx) Xz) Xw_2))))))) ((forall (Xw_2:fofType), ((or (((Xr_27 (fun (Xx:fofType)=> True)) (fun (Xx:fofType)=> False)) Xw_2)) (((Xr_28 (fun (Xx:fofType)=> True)) (fun (Xx:fofType)=> False)) Xw_2)))->False))))))
% Found or_introl00:=(or_introl0 (((x Xx) Xz) Xw_2)):((((x Xy) Xz) Xw_20)->((or (((x Xy) Xz) Xw_20)) (((x Xx) Xz) Xw_2)))
% Found (or_introl0 (((x Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xy) Xz) Xw_20)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xy) Xz) Xw_20)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xy) Xz) Xw_20)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x0 Xy) Xz) Xw_20)):((((x0 Xy) Xz) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_20)))
% Found (or_intror0 (((x0 Xy) Xz) Xw_20)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_20)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_20)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_20)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x Xx) Xz) Xw_2)):((((x Xx) Xy) Xw_20)->((or (((x Xx) Xy) Xw_20)) (((x Xx) Xz) Xw_2)))
% Found (or_introl0 (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_20)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_20)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_20)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x0 Xx) Xy) Xw_20)):((((x0 Xx) Xy) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_20)))
% Found (or_intror0 (((x0 Xx) Xy) Xw_20)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_20)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_20)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_20)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x0 Xy) Xz) Xw_20)):((((x0 Xy) Xz) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_20)))
% Found (or_intror0 (((x0 Xy) Xz) Xw_20)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_20)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_20)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_20)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x Xx) Xz) Xw_2)):((((x Xy) Xz) Xw_20)->((or (((x Xy) Xz) Xw_20)) (((x Xx) Xz) Xw_2)))
% Found (or_introl0 (((x Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xy) Xz) Xw_20)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xy) Xz) Xw_20)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xy) Xz) Xw_20)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x Xx) Xz) Xw_2)):((((x Xx) Xy) Xw_20)->((or (((x Xx) Xy) Xw_20)) (((x Xx) Xz) Xw_2)))
% Found (or_introl0 (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_20)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_20)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_20)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x0 Xx) Xy) Xw_20)):((((x0 Xx) Xy) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_20)))
% Found (or_intror0 (((x0 Xx) Xy) Xw_20)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_20)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_20)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_20)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found x000:(((x Xx) Xy) Xw_20)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found x000:(((x0 Xx) Xy) Xw_20)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind0 (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x000:(((x0 Xx) Xy) Xw_20)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found x000:(((x Xx) Xy) Xw_20)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind0 (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found x000:(((x Xx) Xy) Xw_20)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found x000:(((x0 Xx) Xy) Xw_20)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind0 (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x000:(((x0 Xx) Xy) Xw_20)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found x000:(((x Xx) Xy) Xw_20)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind0 (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found or_intror00:=(or_intror0 (((x Xx) Xy) Xw_20)):((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_20)))
% Found (or_intror0 (((x Xx) Xy) Xw_20)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_20)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_20)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_20)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x0 Xx) Xy) Xw_20)->((or (((x0 Xx) Xy) Xw_20)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xx) Xy) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xx) Xy) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xx) Xy) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x Xy) Xz) Xw_20)):((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_20)))
% Found (or_intror0 (((x Xy) Xz) Xw_20)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_20)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_20)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_20)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x0 Xy) Xz) Xw_20)->((or (((x0 Xy) Xz) Xw_20)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found x000:(((x0 Xx) Xy) Xw_20)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found x000:(((x Xx) Xy) Xw_20)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind0 (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found x000:(((x Xx) Xy) Xw_20)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found x000:(((x0 Xx) Xy) Xw_20)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind0 (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x0 Xx) Xy) Xw_20)->((or (((x0 Xx) Xy) Xw_20)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xx) Xy) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xx) Xy) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xx) Xy) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x Xx) Xy) Xw_20)):((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_20)))
% Found (or_intror0 (((x Xx) Xy) Xw_20)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_20)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_20)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_20)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x0 Xy) Xz) Xw_20)->((or (((x0 Xy) Xz) Xw_20)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x Xy) Xz) Xw_20)):((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_20)))
% Found (or_intror0 (((x Xy) Xz) Xw_20)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_20)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_20)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_20)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found x000:(((x0 Xx) Xy) Xw_20)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found x000:(((x Xx) Xy) Xw_20)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind0 (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found x000:(((x Xx) Xy) Xw_20)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found x000:(((x0 Xx) Xy) Xw_20)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind0 (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x0 Xy) Xz) Xw_20)->((or (((x0 Xy) Xz) Xw_20)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x Xy) Xz) Xw_20)):((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_20)))
% Found (or_intror0 (((x Xy) Xz) Xw_20)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_20)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_20)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_20)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x Xx) Xy) Xw_20)):((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_20)))
% Found (or_intror0 (((x Xx) Xy) Xw_20)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_20)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_20)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_20)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x0 Xx) Xy) Xw_20)->((or (((x0 Xx) Xy) Xw_20)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xx) Xy) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xx) Xy) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xx) Xy) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x0 Xx) Xy) Xw_20)->((or (((x0 Xx) Xy) Xw_20)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xx) Xy) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xx) Xy) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xx) Xy) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x Xx) Xy) Xw_20)):((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_20)))
% Found (or_intror0 (((x Xx) Xy) Xw_20)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_20)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_20)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_20)) as proof of ((((x Xx) Xy) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x0 Xy) Xz) Xw_20)->((or (((x0 Xy) Xz) Xw_20)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_20)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x Xy) Xz) Xw_20)):((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_20)))
% Found (or_intror0 (((x Xy) Xz) Xw_20)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_20)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_20)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_20)) as proof of ((((x Xy) Xz) Xw_20)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found x000:(((x0 Xx) Xy) Xw_20)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found x000:(((x Xx) Xy) Xw_20)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind0 (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found x000:(((x Xx) Xy) Xw_20)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found x000:(((x0 Xx) Xy) Xw_20)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind0 (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x000:(((x Xx) Xy) Xw_20)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found x000:(((x0 Xx) Xy) Xw_20)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind0 (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x000:(((x0 Xx) Xy) Xw_20)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found x000:(((x Xx) Xy) Xw_20)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind0 (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found x000:(((x0 Xx) Xy) Xw_20)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found x000:(((x Xx) Xy) Xw_20)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind0 (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found x000:(((x Xx) Xy) Xw_20)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found x000:(((x0 Xx) Xy) Xw_20)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind0 (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x000:(((x Xx) Xy) Xw_20)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found x000:(((x0 Xx) Xy) Xw_20)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind0 (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x000:(((x0 Xx) Xy) Xw_20)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found x000:(((x Xx) Xy) Xw_20)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind0 (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found x000:(((x Xx) Xy) Xw_20)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found x000:(((x0 Xx) Xy) Xw_20)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind0 (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x000:(((x0 Xx) Xy) Xw_20)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found x000:(((x Xx) Xy) Xw_20)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind0 (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found x000:(((x Xx) Xy) Xw_20)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found x000:(((x0 Xx) Xy) Xw_20)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind0 (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x000:(((x0 Xx) Xy) Xw_20)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_20)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000) as proof of ((((x0 Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found x000:(((x Xx) Xy) Xw_20)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x000:(((x Xx) Xy) Xw_20))=> x000) as proof of ((((x Xx) Xy) Xw_20)->(((x Xx) Xz) Xw_2))
% Found ((or_ind00 (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind0 (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_20)->P)) (x3:((((x Xx) Xy) Xw_20)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_20)) (((x Xx) Xy) Xw_20)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x000:(((x0 Xx) Xy) Xw_20))=> x000)) (fun (x000:(((x Xx) Xy) Xw_20))=> x000)) as proof of (((x Xx) Xz) Xw_2)
% Found or_introl00:=(or_introl0 (((x Xx) Xz) Xw_2)):((((x Xy) Xz) Xw_200)->((or (((x Xy) Xz) Xw_200)) (((x Xx) Xz) Xw_2)))
% Found (or_introl0 (((x Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_200)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xy) Xz) Xw_200)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_200)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xy) Xz) Xw_200)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_200)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x Xx) Xz) Xw_2)):((((x Xx) Xy) Xw_200)->((or (((x Xx) Xy) Xw_200)) (((x Xx) Xz) Xw_2)))
% Found (or_introl0 (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_200)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_200)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_200)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_200)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_200)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x0 Xy) Xz) Xw_200)):((((x0 Xy) Xz) Xw_200)->((or (((x0 Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_200)))
% Found (or_intror0 (((x0 Xy) Xz) Xw_200)) as proof of ((((x0 Xy) Xz) Xw_200)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_200)) as proof of ((((x0 Xy) Xz) Xw_200)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_200)) as proof of ((((x0 Xy) Xz) Xw_200)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x Xx) Xz) Xw_2)):((((x Xx) Xy) Xw_200)->((or (((x Xx) Xy) Xw_200)) (((x Xx) Xz) Xw_2)))
% Found (or_introl0 (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_200)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_200)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_200)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_200)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_200)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x Xx) Xy) Xw_200)->((or (((x Xx) Xy) Xw_200)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_200)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_200)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x Xy) Xz) Xw_200)->((or (((x Xy) Xz) Xw_200)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xy) Xz) Xw_200)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xy) Xz) Xw_200)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x Xy) Xz) Xw_200)
% Found (fun (x001:(((x Xy) Xz) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xy) Xz) Xw_200))=> x001) as proof of ((((x Xy) Xz) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xy) Xz) Xw_200)
% Found (fun (x001:(((x Xy) Xz) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xy) Xz) Xw_200))=> x001) as proof of ((((x Xy) Xz) Xw_200)->(((x Xx) Xz) Xw_2))
% Found or_intror00:=(or_intror0 (((x0 Xx) Xy) Xw_200)):((((x0 Xx) Xy) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_200)))
% Found (or_intror0 (((x0 Xx) Xy) Xw_200)) as proof of ((((x0 Xx) Xy) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_200)) as proof of ((((x0 Xx) Xy) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_200)) as proof of ((((x0 Xx) Xy) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x0 Xy) Xz) Xw_200)):((((x0 Xy) Xz) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_200)))
% Found (or_intror0 (((x0 Xy) Xz) Xw_200)) as proof of ((((x0 Xy) Xz) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_200)) as proof of ((((x0 Xy) Xz) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_200)) as proof of ((((x0 Xy) Xz) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x Xx) Xy) Xw_200)->((or (((x Xx) Xy) Xw_200)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_200)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_200)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x0 Xy) Xz) Xw_200)):((((x0 Xy) Xz) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_200)))
% Found (or_intror0 (((x0 Xy) Xz) Xw_200)) as proof of ((((x0 Xy) Xz) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_200)) as proof of ((((x0 Xy) Xz) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_200)) as proof of ((((x0 Xy) Xz) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found x001:(((x0 Xy) Xz) Xw_200)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of ((((x0 Xy) Xz) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x0 Xy) Xz) Xw_200)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of ((((x0 Xy) Xz) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found or_intror00:=(or_intror0 (((x0 Xx) Xy) Xw_200)):((((x0 Xx) Xy) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_200)))
% Found (or_intror0 (((x0 Xx) Xy) Xw_200)) as proof of ((((x0 Xx) Xy) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_200)) as proof of ((((x0 Xx) Xy) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_200)) as proof of ((((x0 Xx) Xy) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x0 Xy) Xz) Xw_200)):((((x0 Xy) Xz) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_200)))
% Found (or_intror0 (((x0 Xy) Xz) Xw_200)) as proof of ((((x0 Xy) Xz) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_200)) as proof of ((((x0 Xy) Xz) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_200)) as proof of ((((x0 Xy) Xz) Xw_200)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x Xy) Xz) Xw_200)
% Found (fun (x001:(((x Xy) Xz) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xy) Xz) Xw_200))=> x001) as proof of ((((x Xy) Xz) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xy) Xz) Xw_200)
% Found (fun (x001:(((x Xy) Xz) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xy) Xz) Xw_200))=> x001) as proof of ((((x Xy) Xz) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x0 Xy) Xz) Xw_200)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of ((((x0 Xy) Xz) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x0 Xy) Xz) Xw_200)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of ((((x0 Xy) Xz) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xy) Xz) Xw_200)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of ((((x0 Xy) Xz) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x0 Xy) Xz) Xw_200)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of ((((x0 Xy) Xz) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x0 Xy) Xz) Xw_200)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of ((((x0 Xy) Xz) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xy) Xz) Xw_200)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of ((((x0 Xy) Xz) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x Xx) Xy) Xw_200)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind1 (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x0 Xx) Xy) Xw_200)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_200)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found ((or_ind10 (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind1 (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_200)->P)) (x3:((((x Xx) Xy) Xw_200)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_200)) (((x Xx) Xy) Xw_200)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001)) (fun (x001:(((x Xx) Xy) Xw_200))=> x001)) as proof of (((x Xx) Xz) Xw_2)
% Found x001:(((x Xy) Xz) Xw_200)
% Found (fun (x001:(((x Xy) Xz) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xy) Xz) Xw_200))=> x001) as proof of ((((x Xy) Xz) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xy) Xz) Xw_200)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of ((((x0 Xy) Xz) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x Xy) Xz) Xw_200)
% Found (fun (x001:(((x Xy) Xz) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xy) Xz) Xw_200))=> x001) as proof of ((((x Xy) Xz) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x0 Xy) Xz) Xw_200)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of ((((x0 Xy) Xz) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x0 Xy) Xz) Xw_200)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of ((((x0 Xy) Xz) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x Xx) Xy) Xw_200)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x001:(((x Xx) Xy) Xw_200))=> x001) as proof of ((((x Xx) Xy) Xw_200)->(((x0 Xx) Xz) Xw_2))
% Found x001:(((x0 Xy) Xz) Xw_200)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xy) Xz) Xw_200))=> x001) as proof of ((((x0 Xy) Xz) Xw_200)->(((x Xx) Xz) Xw_2))
% Found x001:(((x0 Xx) Xy) Xw_200)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x001:(((x0 Xx) Xy) Xw_200))=> x001) as proof of ((((x0 Xx) Xy) Xw_200)->(((x Xx) Xz) Xw_2))
% Found or_intror00:=(or_intror0 (((x Xx) Xy) Xw_201)):((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_201)))
% Found (or_intror0 (((x Xx) Xy) Xw_201)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_201)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_201)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x Xy) Xz) Xw_201)):((((x Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_201)))
% Found (or_intror0 (((x Xy) Xz) Xw_201)) as proof of ((((x Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_201)) as proof of ((((x Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_201)) as proof of ((((x Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x Xx) Xz) Xw_2)):((((x0 Xy) Xz) Xw_201)->((or (((x0 Xy) Xz) Xw_201)) (((x Xx) Xz) Xw_2)))
% Found (or_introl0 (((x Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_201)) (((x Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_201)) (((x Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x Xx) Xz) Xw_2)):((((x Xx) Xy) Xw_201)->((or (((x Xx) Xy) Xw_201)) (((x Xx) Xz) Xw_2)))
% Found (or_introl0 (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_201)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_201)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x Xy) Xz) Xw_201)):((((x Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_201)))
% Found (or_intror0 (((x Xy) Xz) Xw_201)) as proof of ((((x Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_201)) as proof of ((((x Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_201)) as proof of ((((x Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x Xx) Xy) Xw_201)):((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_201)))
% Found (or_intror0 (((x Xx) Xy) Xw_201)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_201)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_201)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x Xx) Xy) Xw_201)):((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_201)))
% Found (or_intror0 (((x Xx) Xy) Xw_201)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_201)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_201)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x Xx) Xz) Xw_2)):((((x Xy) Xz) Xw_201)->((or (((x Xy) Xz) Xw_201)) (((x Xx) Xz) Xw_2)))
% Found (or_introl0 (((x Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xy) Xz) Xw_201)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xy) Xz) Xw_201)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x0 Xy) Xz) Xw_201)):((((x0 Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_201)))
% Found (or_intror0 (((x0 Xy) Xz) Xw_201)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_201)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_201)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x Xx) Xz) Xw_2)):((((x Xx) Xy) Xw_201)->((or (((x Xx) Xy) Xw_201)) (((x Xx) Xz) Xw_2)))
% Found (or_introl0 (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_201)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_201)) (((x Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x Xx) Xy) Xw_201)):((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_201)))
% Found (or_intror0 (((x Xx) Xy) Xw_201)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_201)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_201)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x0 Xy) Xz) Xw_201)):((((x0 Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_201)))
% Found (or_intror0 (((x0 Xy) Xz) Xw_201)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_201)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found ((or_intror (((x0 Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_201)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x0 Xx) Xz) Xw_2)) (((x Xx) Xz) Xw_2)))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x Xy) Xz) Xw_201)->((or (((x Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x Xx) Xy) Xw_201)->((or (((x Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found or_intror00:=(or_intror0 (((x0 Xx) Xy) Xw_201)):((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_201)))
% Found (or_intror0 (((x0 Xx) Xy) Xw_201)) as proof of ((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_201)) as proof of ((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_201)) as proof of ((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x0 Xy) Xz) Xw_201)):((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_201)))
% Found (or_intror0 (((x0 Xy) Xz) Xw_201)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_201)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_201)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x0 Xy) Xz) Xw_201)->((or (((x0 Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x Xx) Xy) Xw_201)):((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_201)))
% Found (or_intror0 (((x Xx) Xy) Xw_201)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_201)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_201)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found or_intror00:=(or_intror0 (((x0 Xx) Xy) Xw_201)):((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_201)))
% Found (or_intror0 (((x0 Xx) Xy) Xw_201)) as proof of ((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_201)) as proof of ((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_201)) as proof of ((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x0 Xy) Xz) Xw_201)):((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_201)))
% Found (or_intror0 (((x0 Xy) Xz) Xw_201)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_201)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_201)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found or_intror00:=(or_intror0 (((x Xy) Xz) Xw_201)):((((x Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_201)))
% Found (or_intror0 (((x Xy) Xz) Xw_201)) as proof of ((((x Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_201)) as proof of ((((x Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_201)) as proof of ((((x Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x Xx) Xy) Xw_201)->((or (((x Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x Xy) Xz) Xw_201)):((((x Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_201)))
% Found (or_intror0 (((x Xy) Xz) Xw_201)) as proof of ((((x Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_201)) as proof of ((((x Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xy) Xz) Xw_201)) as proof of ((((x Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x Xx) Xy) Xw_201)->((or (((x Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x0 Xy) Xz) Xw_201)->((or (((x0 Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x0 Xx) Xy) Xw_201)->((or (((x0 Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x0 Xx) Xy) Xw_201)->((or (((x0 Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x0 Xy) Xz) Xw_201)->((or (((x0 Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x Xx) Xy) Xw_201)->((or (((x Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x0 Xy) Xz) Xw_201)->((or (((x0 Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x0 Xy) Xz) Xw_201)):((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_201)))
% Found (or_intror0 (((x0 Xy) Xz) Xw_201)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_201)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xy) Xz) Xw_201)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x Xx) Xy) Xw_201)):((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_201)))
% Found (or_intror0 (((x Xx) Xy) Xw_201)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_201)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x Xx) Xy) Xw_201)) as proof of ((((x Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x0 Xy) Xz) Xw_201)->((or (((x0 Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x0 Xx) Xy) Xw_201)->((or (((x0 Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xx) Xy) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_introl00:=(or_introl0 (((x0 Xx) Xz) Xw_2)):((((x0 Xy) Xz) Xw_201)->((or (((x0 Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)))
% Found (or_introl0 (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_introl (((x0 Xy) Xz) Xw_201)) (((x0 Xx) Xz) Xw_2)) as proof of ((((x0 Xy) Xz) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found or_intror00:=(or_intror0 (((x0 Xx) Xy) Xw_201)):((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_201)))
% Found (or_intror0 (((x0 Xx) Xy) Xw_201)) as proof of ((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_201)) as proof of ((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found ((or_intror (((x Xx) Xz) Xw_2)) (((x0 Xx) Xy) Xw_201)) as proof of ((((x0 Xx) Xy) Xw_201)->((or (((x Xx) Xz) Xw_2)) (((x0 Xx) Xz) Xw_2)))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind2 (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found x002:(((x0 Xx) Xy) Xw_201)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind2 (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found x002:(((x Xx) Xy) Xw_201)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind2 (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x002:(((x0 Xx) Xy) Xw_201)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind2 (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found x002:(((x Xx) Xy) Xw_201)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind2 (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x002:(((x Xx) Xy) Xw_201)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind2 (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x002:(((x0 Xx) Xy) Xw_201)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind2 (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found x002:(((x Xx) Xy) Xw_201)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind2 (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind2 (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x002:(((x0 Xx) Xy) Xw_201)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind2 (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found x002:(((x Xx) Xy) Xw_201)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind2 (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x002:(((x0 Xx) Xy) Xw_201)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind2 (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found x002:(((x Xx) Xy) Xw_201)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind2 (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x002:(((x0 Xx) Xy) Xw_201)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind2 (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found x002:(((x Xx) Xy) Xw_201)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind2 (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x002:(((x0 Xx) Xy) Xw_201)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind2 (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind2 (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found x002:(((x0 Xx) Xy) Xw_201)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind2 (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found x002:(((x Xx) Xy) Xw_201)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind2 (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x002:(((x0 Xx) Xy) Xw_201)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind2 (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found x002:(((x Xx) Xy) Xw_201)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind2 (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x002:(((x Xx) Xy) Xw_201)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind2 (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x002:(((x0 Xx) Xy) Xw_201)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind2 (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found x002:(((x Xx) Xy) Xw_201)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind2 (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x002:(((x Xx) Xy) Xw_201)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind2 (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x002:(((x Xx) Xy) Xw_201)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind2 (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x002:(((x0 Xx) Xy) Xw_201)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind2 (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found x002:(((x Xx) Xy) Xw_201)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind2 (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x002:(((x0 Xx) Xy) Xw_201)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind2 (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found x002:(((x0 Xx) Xy) Xw_201)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind2 (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found x002:(((x0 Xx) Xy) Xw_201)
% Instantiate: x:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x0 x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found (((or_ind2 (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x Xx) Xz) Xw_2)
% Found x002:(((x Xx) Xy) Xw_201)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind2 (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xy) Xz) Xw_201)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xy) Xz) Xw_201))=> x002) as proof of ((((x Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x0 Xy) Xz) Xw_201)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of (((x Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xy) Xz) Xw_201))=> x002) as proof of ((((x0 Xy) Xz) Xw_201)->(((x Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x Xx) Xy) Xw_201)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind2 (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x Xx) Xy) Xw_201)) P) x2) x3) x11)) (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found x002:(((x Xx) Xy) Xw_201)
% Instantiate: x0:=(fun (x4:(fofType->Prop)) (x30:(fofType->Prop)) (x20:fofType)=> (((x x4) Xy) Xw_201)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x Xx) Xy) Xw_201))=> x002) as proof of ((((x Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found x002:(((x0 Xx) Xy) Xw_201)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of (((x0 Xx) Xz) Xw_2)
% Found (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002) as proof of ((((x0 Xx) Xy) Xw_201)->(((x0 Xx) Xz) Xw_2))
% Found ((or_ind20 (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found (((or_ind2 (((x0 Xx) Xz) Xw_2)) (fun (x002:(((x0 Xx) Xy) Xw_201))=> x002)) (fun (x002:(((x Xx) Xy) Xw_201))=> x002)) as proof of (((x0 Xx) Xz) Xw_2)
% Found ((((fun (P:Prop) (x2:((((x0 Xx) Xy) Xw_201)->P)) (x3:((((x Xx) Xy) Xw_201)->P))=> ((((((or_ind (((x0 Xx) Xy) Xw_201)) (((x
% EOF
%------------------------------------------------------------------------------