%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SEV104^5 : TPTP v6.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n093.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 13:33:44 EDT 2014

% Result   : Timeout 300.07s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : SEV104^5 : TPTP v6.1.0. Released v4.0.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n093.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 08:05:21 CDT 2014
% % CPUTime  : 300.07 
% Python 2.7.5
% Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% FOF formula (<kernel.Constant object at 0x2266830>, <kernel.Type object at 0x2266f38>) of role type named a_type
% Using role type
% Declaring a:Type
% FOF formula (<kernel.Constant object at 0x2464998>, <kernel.Type object at 0x2266998>) of role type named b_type
% Using role type
% Declaring b:Type
% FOF formula (<kernel.Constant object at 0x2266dd0>, <kernel.DependentProduct object at 0x2266680>) of role type named cR
% Using role type
% Declaring cR:(a->(a->Prop))
% FOF formula (<kernel.Constant object at 0x2266f38>, <kernel.Constant object at 0x2266680>) of role type named z
% Using role type
% Declaring z:a
% FOF formula (<kernel.Constant object at 0x2266d40>, <kernel.DependentProduct object at 0x2266830>) of role type named f
% Using role type
% Declaring f:(a->(b->Prop))
% FOF formula (<kernel.Constant object at 0x2266ef0>, <kernel.DependentProduct object at 0x22665f0>) of role type named cS
% Using role type
% Declaring cS:(b->(b->Prop))
% FOF formula (((and (forall (Xu:a) (Xv:a) (Xw:a), (((and ((cR Xu) Xv)) ((cR Xw) Xv))->((cR Xu) Xw)))) (forall (Xx:a), ((cR Xx) Xx)))->(((and ((and (forall (Xx:a), ((ex b) (fun (Xy:b)=> ((f Xx) Xy))))) (forall (Xx:a) (Xy1:b) (Xy2:b), (((and ((f Xx) Xy1)) ((f Xx) Xy2))->((cS Xy1) Xy2))))) (forall (Xx1:a) (Xx2:a) (Xy:b), (((and ((f Xx1) Xy)) ((f Xx2) Xy))->((cR Xx1) Xx2))))->(forall (Xy:b) (Xx1:a) (Xx2:a), (((and (forall (Xw:a), ((or ((f Xx1) Xy)) ((and (((f Xw) Xy)->False)) ((cR Xx1) z))))) (forall (Xw:a), ((or ((f Xx2) Xy)) ((and (((f Xw) Xy)->False)) ((cR Xx2) z)))))->((cR Xx1) Xx2))))) of role conjecture named cTHM552D_pme
% Conjecture to prove = (((and (forall (Xu:a) (Xv:a) (Xw:a), (((and ((cR Xu) Xv)) ((cR Xw) Xv))->((cR Xu) Xw)))) (forall (Xx:a), ((cR Xx) Xx)))->(((and ((and (forall (Xx:a), ((ex b) (fun (Xy:b)=> ((f Xx) Xy))))) (forall (Xx:a) (Xy1:b) (Xy2:b), (((and ((f Xx) Xy1)) ((f Xx) Xy2))->((cS Xy1) Xy2))))) (forall (Xx1:a) (Xx2:a) (Xy:b), (((and ((f Xx1) Xy)) ((f Xx2) Xy))->((cR Xx1) Xx2))))->(forall (Xy:b) (Xx1:a) (Xx2:a), (((and (forall (Xw:a), ((or ((f Xx1) Xy)) ((and (((f Xw) Xy)->False)) ((cR Xx1) z))))) (forall (Xw:a), ((or ((f Xx2) Xy)) ((and (((f Xw) Xy)->False)) ((cR Xx2) z)))))->((cR Xx1) Xx2))))):Prop
% Parameter b_DUMMY:b.
% We need to prove ['(((and (forall (Xu:a) (Xv:a) (Xw:a), (((and ((cR Xu) Xv)) ((cR Xw) Xv))->((cR Xu) Xw)))) (forall (Xx:a), ((cR Xx) Xx)))->(((and ((and (forall (Xx:a), ((ex b) (fun (Xy:b)=> ((f Xx) Xy))))) (forall (Xx:a) (Xy1:b) (Xy2:b), (((and ((f Xx) Xy1)) ((f Xx) Xy2))->((cS Xy1) Xy2))))) (forall (Xx1:a) (Xx2:a) (Xy:b), (((and ((f Xx1) Xy)) ((f Xx2) Xy))->((cR Xx1) Xx2))))->(forall (Xy:b) (Xx1:a) (Xx2:a), (((and (forall (Xw:a), ((or ((f Xx1) Xy)) ((and (((f Xw) Xy)->False)) ((cR Xx1) z))))) (forall (Xw:a), ((or ((f Xx2) Xy)) ((and (((f Xw) Xy)->False)) ((cR Xx2) z)))))->((cR Xx1) Xx2)))))']
% Parameter a:Type.
% Parameter b:Type.
% Parameter cR:(a->(a->Prop)).
% Parameter z:a.
% Parameter f:(a->(b->Prop)).
% Parameter cS:(b->(b->Prop)).
% Trying to prove (((and (forall (Xu:a) (Xv:a) (Xw:a), (((and ((cR Xu) Xv)) ((cR Xw) Xv))->((cR Xu) Xw)))) (forall (Xx:a), ((cR Xx) Xx)))->(((and ((and (forall (Xx:a), ((ex b) (fun (Xy:b)=> ((f Xx) Xy))))) (forall (Xx:a) (Xy1:b) (Xy2:b), (((and ((f Xx) Xy1)) ((f Xx) Xy2))->((cS Xy1) Xy2))))) (forall (Xx1:a) (Xx2:a) (Xy:b), (((and ((f Xx1) Xy)) ((f Xx2) Xy))->((cR Xx1) Xx2))))->(forall (Xy:b) (Xx1:a) (Xx2:a), (((and (forall (Xw:a), ((or ((f Xx1) Xy)) ((and (((f Xw) Xy)->False)) ((cR Xx1) z))))) (forall (Xw:a), ((or ((f Xx2) Xy)) ((and (((f Xw) Xy)->False)) ((cR Xx2) z)))))->((cR Xx1) Xx2)))))
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x70:=(x7 Xx2):((cR Xx2) Xx2)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found x70:=(x7 Xx1):((cR Xx1) Xx1)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x70:=(x7 Xx2):((cR Xx2) Xx2)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found x70:=(x7 Xx1):((cR Xx1) Xx1)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found x70:=(x7 Xx2):((cR Xx2) Xx2)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found x70:=(x7 Xx1):((cR Xx1) Xx1)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x90:=(x9 Xx2):((cR Xx2) Xx2)
% Found (x9 Xx2) as proof of ((cR Xx2) Xv)
% Found (x9 Xx2) as proof of ((cR Xx2) Xv)
% Found (x9 Xx2) as proof of ((cR Xx2) Xv)
% Found x90:=(x9 Xx1):((cR Xx1) Xx1)
% Found (x9 Xx1) as proof of ((cR Xx1) Xv)
% Found (x9 Xx1) as proof of ((cR Xx1) Xv)
% Found (x9 Xx1) as proof of ((cR Xx1) Xv)
% Found x70:=(x7 Xx2):((cR Xx2) Xx2)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found x70:=(x7 Xx1):((cR Xx1) Xx1)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x70:=(x7 Xx2):((cR Xx2) Xx2)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found x70:=(x7 Xx1):((cR Xx1) Xx1)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found x70:=(x7 Xx2):((cR Xx2) Xx2)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found x70:=(x7 Xx1):((cR Xx1) Xx1)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x90:=(x9 Xx2):((cR Xx2) Xx2)
% Found (x9 Xx2) as proof of ((cR Xx2) Xv)
% Found (x9 Xx2) as proof of ((cR Xx2) Xv)
% Found (x9 Xx2) as proof of ((cR Xx2) Xv)
% Found x90:=(x9 Xx1):((cR Xx1) Xx1)
% Found (x9 Xx1) as proof of ((cR Xx1) Xv)
% Found (x9 Xx1) as proof of ((cR Xx1) Xv)
% Found (x9 Xx1) as proof of ((cR Xx1) Xv)
% Found x90:=(x9 Xx2):((cR Xx2) Xx2)
% Found (x9 Xx2) as proof of ((cR Xx2) Xv)
% Found (x9 Xx2) as proof of ((cR Xx2) Xv)
% Found (x9 Xx2) as proof of ((cR Xx2) Xv)
% Found x90:=(x9 Xx1):((cR Xx1) Xx1)
% Found (x9 Xx1) as proof of ((cR Xx1) Xv)
% Found (x9 Xx1) as proof of ((cR Xx1) Xv)
% Found (x9 Xx1) as proof of ((cR Xx1) Xv)
% Found x70:=(x7 Xx2):((cR Xx2) Xx2)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found x70:=(x7 Xx1):((cR Xx1) Xx1)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x70:=(x7 Xx2):((cR Xx2) Xx2)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found x70:=(x7 Xx1):((cR Xx1) Xx1)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x70:=(x7 Xx2):((cR Xx2) Xx2)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found x70:=(x7 Xx1):((cR Xx1) Xx1)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx1:a
% Found x7 as proof of ((f Xx1) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx2:a
% Found x7 as proof of ((f Xx2) Xy0)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx1:a
% Found x7 as proof of ((f Xx1) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx2:a
% Found x7 as proof of ((f Xx2) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx2:a
% Found x7 as proof of ((f Xx2) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx1:a
% Found x7 as proof of ((f Xx1) Xy0)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found x6:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x6 as proof of ((f Xx1) Xy0)
% Found x6:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x6 as proof of ((f Xx1) Xy0)
% Found x6:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x6 as proof of ((f Xx2) Xy0)
% Found x6:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x6 as proof of ((f Xx2) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx2:a
% Found (fun (x7:((f Xx) x6))=> x7) as proof of ((f Xx2) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx1:a
% Found (fun (x7:((f Xx) x6))=> x7) as proof of ((f Xx1) Xy0)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found x6:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x6 as proof of ((f Xx1) Xy0)
% Found x6:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x6 as proof of ((f Xx2) Xy0)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx2:a
% Found (fun (x7:((f Xx) x6))=> x7) as proof of ((f Xx2) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx1:a
% Found (fun (x7:((f Xx) x6))=> x7) as proof of ((f Xx1) Xy0)
% Found x6:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x6:((f Xx1) Xy))=> x6) as proof of ((f Xx1) Xy0)
% Found (fun (x6:((f Xx1) Xy))=> x6) as proof of (((f Xx1) Xy)->((f Xx1) Xy0))
% Found x6:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x6:((f Xx2) Xy))=> x6) as proof of ((f Xx2) Xy0)
% Found (fun (x6:((f Xx2) Xy))=> x6) as proof of (((f Xx2) Xy)->((f Xx2) Xy0))
% Found x6:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x6 as proof of ((f Xx2) Xy0)
% Found x6:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x6:((f Xx1) Xy))=> x6) as proof of ((f Xx1) Xy0)
% Found (fun (x6:((f Xx1) Xy))=> x6) as proof of (((f Xx1) Xy)->((f Xx1) Xy0))
% Found x6:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x6:((f Xx2) Xy))=> x6) as proof of ((f Xx2) Xy0)
% Found (fun (x6:((f Xx2) Xy))=> x6) as proof of (((f Xx2) Xy)->((f Xx2) Xy0))
% Found x6:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x6 as proof of ((f Xx1) Xy0)
% Found x6:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x6 as proof of ((f Xx1) Xy0)
% Found x6:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x6 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x6:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x6:((f Xx1) Xy))=> x6) as proof of ((f Xx1) Xy0)
% Found (fun (x6:((f Xx1) Xy))=> x6) as proof of (((f Xx1) Xy)->((f Xx1) Xy0))
% Found x6:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x6:((f Xx2) Xy))=> x6) as proof of ((f Xx2) Xy0)
% Found (fun (x6:((f Xx2) Xy))=> x6) as proof of (((f Xx2) Xy)->((f Xx2) Xy0))
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx1:a
% Found x7 as proof of ((f Xx1) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx2:a
% Found x7 as proof of ((f Xx2) Xy0)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx1:a
% Found x7 as proof of ((f Xx1) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx2:a
% Found x7 as proof of ((f Xx2) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx1:a
% Found x7 as proof of ((f Xx1) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx2:a
% Found x7 as proof of ((f Xx2) Xy0)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx1:a
% Found x7 as proof of ((f Xx1) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx2:a
% Found x7 as proof of ((f Xx2) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx1:a
% Found x7 as proof of ((f Xx1) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx2:a
% Found x7 as proof of ((f Xx2) Xy0)
% Found x4:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x4 as proof of ((f Xx2) Xy0)
% Found x4:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x4 as proof of ((f Xx1) Xy0)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx1:a
% Found (fun (x7:((f Xx) x6))=> x7) as proof of ((f Xx1) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx2:a
% Found (fun (x7:((f Xx) x6))=> x7) as proof of ((f Xx2) Xy0)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv0)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx2:a
% Found x7 as proof of ((f Xx2) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx1:a
% Found x7 as proof of ((f Xx1) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx2:a
% Found x7 as proof of ((f Xx2) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx1:a
% Found x7 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv0)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found x9 as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found x9 as proof of ((f Xx2) Xy0)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x70:=(x7 Xx2):((cR Xx2) Xx2)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found x70:=(x7 Xx1):((cR Xx1) Xx1)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found x6:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x6:((f Xx2) Xy))=> x6) as proof of ((f Xx2) Xy0)
% Found (fun (x6:((f Xx2) Xy))=> x6) as proof of (((f Xx2) Xy)->((f Xx2) Xy0))
% Found x6:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x6:((f Xx1) Xy))=> x6) as proof of ((f Xx1) Xy0)
% Found (fun (x6:((f Xx1) Xy))=> x6) as proof of (((f Xx1) Xy)->((f Xx1) Xy0))
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx2:a
% Found x7 as proof of ((f Xx2) Xy0)
% Found x7:((f Xx) x6)
% Instantiate: Xy0:=x6:b;Xx:=Xx1:a
% Found x7 as proof of ((f Xx1) Xy0)
% Found x90:=(x9 Xx2):((cR Xx2) Xx2)
% Found (x9 Xx2) as proof of ((cR Xx2) Xv)
% Found (x9 Xx2) as proof of ((cR Xx2) Xv)
% Found (x9 Xx2) as proof of ((cR Xx2) Xv)
% Found x90:=(x9 Xx1):((cR Xx1) Xx1)
% Found (x9 Xx1) as proof of ((cR Xx1) Xv)
% Found (x9 Xx1) as proof of ((cR Xx1) Xv)
% Found (x9 Xx1) as proof of ((cR Xx1) Xv)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx2) Xy0)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv0)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv0)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv0)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv0)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x70:=(x7 Xx2):((cR Xx2) Xx2)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found (x7 Xx2) as proof of ((cR Xx2) Xv)
% Found x70:=(x7 Xx1):((cR Xx1) Xx1)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found (x7 Xx1) as proof of ((cR Xx1) Xv)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x8:((f Xx2) Xy))=> x8) as proof of ((f Xx2) Xy0)
% Found (fun (x8:((f Xx2) Xy))=> x8) as proof of (((f Xx2) Xy)->((f Xx2) Xy0))
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x8:((f Xx1) Xy))=> x8) as proof of ((f Xx1) Xy0)
% Found (fun (x8:((f Xx1) Xy))=> x8) as proof of (((f Xx1) Xy)->((f Xx1) Xy0))
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx1) Xy0)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv0)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv0)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx1) Xy0)
% Found x60:=(x6 Xx2):((cR Xx2) Xx2)
% Found (x6 Xx2) as proof of ((cR Xx2) Xv)
% Found (x6 Xx2) as proof of ((cR Xx2) Xv)
% Found (x6 Xx2) as proof of ((cR Xx2) Xv)
% Found x60:=(x6 Xx1):((cR Xx1) Xx1)
% Found (x6 Xx1) as proof of ((cR Xx1) Xv)
% Found (x6 Xx1) as proof of ((cR Xx1) Xv)
% Found (x6 Xx1) as proof of ((cR Xx1) Xv)
% Found x60:=(x6 Xx2):((cR Xx2) Xx2)
% Found (x6 Xx2) as proof of ((cR Xx2) Xv)
% Found (x6 Xx2) as proof of ((cR Xx2) Xv)
% Found (x6 Xx2) as proof of ((cR Xx2) Xv)
% Found x60:=(x6 Xx1):((cR Xx1) Xx1)
% Found (x6 Xx1) as proof of ((cR Xx1) Xv)
% Found (x6 Xx1) as proof of ((cR Xx1) Xv)
% Found (x6 Xx1) as proof of ((cR Xx1) Xv)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx2) Xy0)
% Found x60:=(x6 Xx2):((cR Xx2) Xx2)
% Found (x6 Xx2) as proof of ((cR Xx2) Xv)
% Found (x6 Xx2) as proof of ((cR Xx2) Xv)
% Found (x6 Xx2) as proof of ((cR Xx2) Xv)
% Found x60:=(x6 Xx1):((cR Xx1) Xx1)
% Found (x6 Xx1) as proof of ((cR Xx1) Xv)
% Found (x6 Xx1) as proof of ((cR Xx1) Xv)
% Found (x6 Xx1) as proof of ((cR Xx1) Xv)
% Found x60:=(x6 Xx2):((cR Xx2) Xx2)
% Found (x6 Xx2) as proof of ((cR Xx2) Xv)
% Found (x6 Xx2) as proof of ((cR Xx2) Xv)
% Found (x6 Xx2) as proof of ((cR Xx2) Xv)
% Found x60:=(x6 Xx1):((cR Xx1) Xx1)
% Found (x6 Xx1) as proof of ((cR Xx1) Xv)
% Found (x6 Xx1) as proof of ((cR Xx1) Xv)
% Found (x6 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x8:((f Xx2) Xy))=> x8) as proof of ((f Xx2) Xy0)
% Found (fun (x8:((f Xx2) Xy))=> x8) as proof of (((f Xx2) Xy)->((f Xx2) Xy0))
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x8:((f Xx1) Xy))=> x8) as proof of ((f Xx1) Xy0)
% Found (fun (x8:((f Xx1) Xy))=> x8) as proof of (((f Xx1) Xy)->((f Xx1) Xy0))
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x8:((f Xx2) Xy))=> x8) as proof of ((f Xx2) Xy0)
% Found (fun (x8:((f Xx2) Xy))=> x8) as proof of (((f Xx2) Xy)->((f Xx2) Xy0))
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x8:((f Xx1) Xy))=> x8) as proof of ((f Xx1) Xy0)
% Found (fun (x8:((f Xx1) Xy))=> x8) as proof of (((f Xx1) Xy)->((f Xx1) Xy0))
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x8:((f Xx1) Xy))=> x8) as proof of ((f Xx1) Xy0)
% Found (fun (x8:((f Xx1) Xy))=> x8) as proof of (((f Xx1) Xy)->((f Xx1) Xy0))
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x8:((f Xx2) Xy))=> x8) as proof of ((f Xx2) Xy0)
% Found (fun (x8:((f Xx2) Xy))=> x8) as proof of (((f Xx2) Xy)->((f Xx2) Xy0))
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx1) Xy0)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx1) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx2:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx2) Xy0)
% Found x9:((f Xx) x8)
% Instantiate: Xy0:=x8:b;Xx:=Xx1:a
% Found (fun (x9:((f Xx) x8))=> x9) as proof of ((f Xx1) Xy0)
% Found x8:((cR Xx1) z)
% Instantiate: Xv:=z:a
% Found x8 as proof of ((cR Xx1) Xv)
% Found x8:((cR Xx2) z)
% Instantiate: Xv:=z:a
% Found x8 as proof of ((cR Xx2) Xv)
% Found x8:((cR Xx1) z)
% Instantiate: Xv:=z:a
% Found x8 as proof of ((cR Xx1) Xv)
% Found x8:((cR Xx2) z)
% Instantiate: Xv:=z:a
% Found x8 as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv0)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x8:((f Xx2) Xy))=> x8) as proof of ((f Xx2) Xy0)
% Found (fun (x8:((f Xx2) Xy))=> x8) as proof of (((f Xx2) Xy)->((f Xx2) Xy0))
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x8:((f Xx1) Xy))=> x8) as proof of ((f Xx1) Xy0)
% Found (fun (x8:((f Xx1) Xy))=> x8) as proof of (((f Xx1) Xy)->((f Xx1) Xy0))
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx1) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found x8 as proof of ((f Xx2) Xy0)
% Found x8:((f Xx1) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x8:((f Xx1) Xy))=> x8) as proof of ((f Xx1) Xy0)
% Found (fun (x8:((f Xx1) Xy))=> x8) as proof of (((f Xx1) Xy)->((f Xx1) Xy0))
% Found x8:((f Xx2) Xy)
% Instantiate: Xy0:=Xy:b
% Found (fun (x8:((f Xx2) Xy))=> x8) as proof of ((f Xx2) Xy0)
% Found (fun (x8:((f Xx2) Xy))=> x8) as proof of (((f Xx2) Xy)->((f Xx2) Xy0))
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv)
% Found x50:=(x5 Xx2):((cR Xx2) Xx2)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found (x5 Xx2) as proof of ((cR Xx2) Xv)
% Found x30:=(x3 Xx1):((cR Xx1) Xx1)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found (x3 Xx1) as proof of ((cR Xx1) Xv)
% Found x50:=(x5 Xx1):((cR Xx1) Xx1)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found (x5 Xx1) as proof of ((cR Xx1) Xv)
% Found x30:=(x3 Xx2):((cR Xx2) Xx2)
% Found (x3 Xx2) as proof of ((cR Xx2) Xv0)
% Fo
% EOF
%------------------------------------------------------------------------------