%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SEV390^5 : TPTP v6.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n098.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 13:34:08 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  : SEV390^5 : TPTP v6.1.0. Released v4.0.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n098.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.20.3.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jul 17 09:04:21 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 (<kernel.Constant object at 0x1b61c20>, <kernel.DependentProduct object at 0x1b61488>) of role type named cS
% Using role type
% Declaring cS:(fofType->Prop)
% FOF formula (<kernel.Constant object at 0x1d35320>, <kernel.DependentProduct object at 0x1b61560>) of role type named cR
% Using role type
% Declaring cR:(fofType->Prop)
% FOF formula ((((eq (fofType->Prop)) (fun (Xx:fofType)=> ((and (cR Xx)) (cS Xx)))) cR)->(forall (Xx:fofType), ((cR Xx)->(cS Xx)))) of role conjecture named cTHM35_pme
% Conjecture to prove = ((((eq (fofType->Prop)) (fun (Xx:fofType)=> ((and (cR Xx)) (cS Xx)))) cR)->(forall (Xx:fofType), ((cR Xx)->(cS Xx)))):Prop
% Parameter fofType_DUMMY:fofType.
% We need to prove ['((((eq (fofType->Prop)) (fun (Xx:fofType)=> ((and (cR Xx)) (cS Xx)))) cR)->(forall (Xx:fofType), ((cR Xx)->(cS Xx))))']
% Parameter fofType:Type.
% Parameter cS:(fofType->Prop).
% Parameter cR:(fofType->Prop).
% Trying to prove ((((eq (fofType->Prop)) (fun (Xx:fofType)=> ((and (cR Xx)) (cS Xx)))) cR)->(forall (Xx:fofType), ((cR Xx)->(cS Xx))))
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xx)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xx)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xx)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xx)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b0)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b0)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b0)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b0)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b0)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b0)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) a)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) a)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xx)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xx)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xx)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xx)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) a)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) a)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xx)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xx)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xx)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xx)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% Found (eq_ref0 b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% Found (eq_ref0 b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) a)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) a)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) a)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) a)
% Found eq_ref00:=(eq_ref0 a00):(((eq fofType) a00) a00)
% Found (eq_ref0 a00) as proof of (((eq fofType) a00) b00)
% Found ((eq_ref fofType) a00) as proof of (((eq fofType) a00) b00)
% Found ((eq_ref fofType) a00) as proof of (((eq fofType) a00) b00)
% Found ((eq_ref fofType) a00) as proof of (((eq fofType) a00) b00)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) a)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) a)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) a)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) a)
% Found eq_ref00:=(eq_ref0 a00):(((eq fofType) a00) a00)
% Found (eq_ref0 a00) as proof of (((eq fofType) a00) b00)
% Found ((eq_ref fofType) a00) as proof of (((eq fofType) a00) b00)
% Found ((eq_ref fofType) a00) as proof of (((eq fofType) a00) b00)
% Found ((eq_ref fofType) a00) as proof of (((eq fofType) a00) b00)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% Found (eq_ref0 b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% Found (eq_ref0 b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% Found (eq_ref0 b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% Found (eq_ref0 b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xx)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% Found eq_ref00:=(eq_ref0 a1):(((eq fofType) a1) a1)
% Found (eq_ref0 a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found ((eq_ref fofType) a1) as proof of (((eq fofType) a1) b1)
% Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% Found (eq_ref0 b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% Found (eq_ref0 b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% Found (eq_ref0 b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% Found (eq_ref0 b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% Found (eq_ref0 b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% Found (eq_ref0 b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) a)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) a)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) a)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) a)
% Found eq_ref00:=(eq_ref0 a00):(((eq fofType) a00) a00)
% Found (eq_ref0 a00) as proof of (((eq fofType) a00) b00)
% Found ((eq_ref fofType) a00) as proof of (((eq fofType) a00) b00)
% Found ((eq_ref fofType) a00) as proof of (((eq fofType) a00) b00)
% Found ((eq_ref fofType) a00) as proof of (((eq fofType) a00) b00)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) a)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) a)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) a)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) a)
% Found eq_ref00:=(eq_ref0 a00):(((eq fofType) a00) a00)
% Found (eq_ref0 a00) as proof of (((eq fofType) a00) b00)
% Found ((eq_ref fofType) a00) as proof of (((eq fofType) a00) b00)
% Found ((eq_ref fofType) a00) as proof of (((eq fofType) a00) b00)
% Found ((eq_ref fofType) a00) as proof of (((eq fofType) a00) b00)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) a)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) a)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) a)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) a)
% Found eq_ref00:=(eq_ref0 a00):(((eq fofType) a00) a00)
% Found (eq_ref0 a00) as proof of (((eq fofType) a00) b00)
% Found ((eq_ref fofType) a00) as proof of (((eq fofType) a00) b00)
% Found ((eq_ref fofType) a00) as proof of (((eq fofType) a00) b00)
% Found ((eq_ref fofType) a00) as proof of (((eq fofType) a00) b00)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) a)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) a)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) a)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) a)
% Found eq_ref00:=(eq_ref0 a00):(((eq fofType) a00) a00)
% Found (eq_ref0 a00) as proof of (((eq fofType) a00) b00)
% Found ((eq_ref fofType) a00) as proof of (((eq fofType) a00) b00)
% Found ((eq_ref fofType) a00) as proof of (((eq fofType) a00) b00)
% Found ((eq_ref fofType) a00) as proof of (((eq fofType) a00) b00)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% Found (eq_ref0 b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% Found (eq_ref0 b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% Found (eq_ref0 b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b00)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% Found (eq_ref0 b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% Found (eq_ref0 b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% Found (eq_ref0 b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b2)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b2)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1)
% EOF
%------------------------------------------------------------------------------